MAYBE Time: 5.201152 TRS: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102# mark X -> U102# X, U102# ok X -> U102# X, isLNat# ok X -> isLNat# X, active# U102 X -> U102# active X, active# U102 X -> active# X, active# isLNat snd V1 -> U81# isPLNat V1, active# isLNat snd V1 -> isPLNat# V1, active# isLNat cons(V1, V2) -> isNatural# V1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2), active# isLNat natsFrom V1 -> isNatural# V1, active# isLNat natsFrom V1 -> U71# isNatural V1, active# isLNat afterNth(V1, V2) -> isNatural# V1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2), active# isLNat fst V1 -> U61# isPLNat V1, active# isLNat fst V1 -> isPLNat# V1, active# isLNat tail V1 -> isLNat# V1, active# isLNat tail V1 -> U91# isLNat V1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2), active# isLNat take(V1, V2) -> isNatural# V1, active# U101(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2), active# U101(tt(), V2) -> U102# isLNat V2, active# U101(tt(), V2) -> isLNat# V2, active# U12(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3), active# U12(tt(), N, XS) -> snd# splitAt(N, XS), active# U12(tt(), N, XS) -> splitAt#(N, XS), active# U11(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3), active# U11(tt(), N, XS) -> isLNat# XS, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS), active# U111 X -> active# X, active# U111 X -> U111# active X, active# snd X -> active# X, active# snd X -> snd# active X, active# snd pair(X, Y) -> isLNat# X, active# snd pair(X, Y) -> U181#(isLNat X, Y), active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(X1, active X2), active# splitAt(X1, X2) -> splitAt#(active X1, X2), active# splitAt(s N, cons(X, XS)) -> isNatural# N, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS), active# splitAt(0(), XS) -> isLNat# XS, active# splitAt(0(), XS) -> U191#(isLNat XS, XS), active# U121 X -> active# X, active# U121 X -> U121# active X, active# U132 X -> active# X, active# U132 X -> U132# active X, active# U131(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2), active# U131(tt(), V2) -> isLNat# V2, active# U131(tt(), V2) -> U132# isLNat V2, active# U142 X -> active# X, active# U142 X -> U142# active X, active# U141(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2), active# U141(tt(), V2) -> isLNat# V2, active# U141(tt(), V2) -> U142# isLNat V2, active# U152 X -> active# X, active# U152 X -> U152# active X, active# U151(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2), active# U151(tt(), V2) -> isLNat# V2, active# U151(tt(), V2) -> U152# isLNat V2, active# cons(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2), active# natsFrom N -> U161#(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# U161(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2), active# U161(tt(), N) -> cons#(N, natsFrom s N), active# U161(tt(), N) -> natsFrom# s N, active# U161(tt(), N) -> s# N, active# U172(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3), active# U172(tt(), N, XS) -> head# afterNth(N, XS), active# U172(tt(), N, XS) -> afterNth#(N, XS), active# U171(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3), active# U171(tt(), N, XS) -> isLNat# XS, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS), active# head X -> active# X, active# head X -> head# active X, active# head cons(N, XS) -> isNatural# N, active# head cons(N, XS) -> U31#(isNatural N, N, XS), active# afterNth(N, XS) -> U11#(isNatural N, N, XS), active# afterNth(N, XS) -> isNatural# N, 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# U182(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2), active# U181(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2), active# U181(tt(), Y) -> isLNat# Y, active# U181(tt(), Y) -> U182#(isLNat Y, Y), 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# U191(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2), active# U191(tt(), XS) -> pair#(nil(), XS), active# U202(X1, X2, X3, X4) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4), active# U202(tt(), N, X, XS) -> isLNat# XS, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS), active# isNatural s V1 -> U121# isNatural V1, active# isNatural s V1 -> isNatural# V1, active# isNatural head V1 -> isLNat# V1, active# isNatural head V1 -> U111# isLNat V1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2), active# isNatural sel(V1, V2) -> isNatural# V1, active# U201(X1, X2, X3, X4) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4), active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS), active# U201(tt(), N, X, XS) -> isNatural# X, active# U203(X1, X2, X3, X4) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4), active# U203(tt(), N, X, XS) -> splitAt#(N, XS), active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X), active# U204(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2), active# U204(pair(YS, ZS), X) -> cons#(X, YS), active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), active# U22(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2), active# U21(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3), active# U21(tt(), X, Y) -> isLNat# Y, active# U21(tt(), X, Y) -> U22#(isLNat Y, X), active# U212(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2), active# U211(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2), active# U211(tt(), XS) -> isLNat# XS, active# U211(tt(), XS) -> U212#(isLNat XS, XS), active# U222(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3), active# U222(tt(), N, XS) -> splitAt#(N, XS), active# U222(tt(), N, XS) -> fst# splitAt(N, XS), active# U221(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3), active# U221(tt(), N, XS) -> isLNat# XS, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS), active# fst X -> active# X, active# fst X -> fst# active X, active# fst pair(X, Y) -> isLNat# X, active# fst pair(X, Y) -> U21#(isLNat X, X, Y), active# U32(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2), active# U31(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3), active# U31(tt(), N, XS) -> isLNat# XS, active# U31(tt(), N, XS) -> U32#(isLNat XS, N), active# U42 X -> active# X, active# U42 X -> U42# active X, active# U41(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2), active# U41(tt(), V2) -> isLNat# V2, active# U41(tt(), V2) -> U42# isLNat V2, active# U52 X -> active# X, active# U52 X -> U52# active X, active# U51(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2), active# U51(tt(), V2) -> isLNat# V2, active# U51(tt(), V2) -> U52# isLNat V2, active# U61 X -> active# X, active# U61 X -> U61# active X, active# U71 X -> active# X, active# U71 X -> U71# active X, active# U81 X -> active# X, active# U81 X -> U81# active X, active# U91 X -> active# X, active# U91 X -> U91# active X, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2), active# isPLNat splitAt(V1, V2) -> isNatural# V1, active# isPLNat pair(V1, V2) -> isLNat# V1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2), active# tail X -> active# X, active# tail X -> tail# active X, active# tail cons(N, XS) -> isNatural# N, active# tail cons(N, XS) -> U211#(isNatural N, XS), active# take(N, XS) -> isNatural# N, active# take(N, XS) -> U221#(isNatural N, N, XS), active# take(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2, active# take(X1, X2) -> take#(X1, active X2), active# take(X1, X2) -> take#(active X1, X2), active# sel(N, XS) -> U171#(isNatural N, N, XS), active# sel(N, XS) -> isNatural# N, 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) -> U101#(X1, X2), U101#(ok X1, ok X2) -> U101#(X1, X2), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3), U111# mark X -> U111# X, U111# ok X -> U111# X, snd# mark X -> snd# X, snd# ok X -> snd# X, splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2), U121# mark X -> U121# X, U121# ok X -> U121# X, U132# mark X -> U132# X, U132# ok X -> U132# X, U131#(mark X1, X2) -> U131#(X1, X2), U131#(ok X1, ok X2) -> U131#(X1, X2), U142# mark X -> U142# X, U142# ok X -> U142# X, U141#(mark X1, X2) -> U141#(X1, X2), U141#(ok X1, ok X2) -> U141#(X1, X2), U152# mark X -> U152# X, U152# ok X -> U152# X, U151#(mark X1, X2) -> U151#(X1, X2), U151#(ok X1, ok X2) -> U151#(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, U161#(mark X1, X2) -> U161#(X1, X2), U161#(ok X1, ok X2) -> U161#(X1, X2), U172#(mark X1, X2, X3) -> U172#(X1, X2, X3), U172#(ok X1, ok X2, ok X3) -> U172#(X1, X2, X3), U171#(mark X1, X2, X3) -> U171#(X1, X2, X3), U171#(ok X1, ok X2, ok X3) -> U171#(X1, X2, X3), head# mark X -> head# X, head# ok X -> head# X, afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2), U182#(mark X1, X2) -> U182#(X1, X2), U182#(ok X1, ok X2) -> U182#(X1, X2), U181#(mark X1, X2) -> U181#(X1, X2), U181#(ok X1, ok X2) -> U181#(X1, X2), pair#(X1, mark X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2), pair#(ok X1, ok X2) -> pair#(X1, X2), U191#(mark X1, X2) -> U191#(X1, X2), U191#(ok X1, ok X2) -> U191#(X1, X2), U202#(mark X1, X2, X3, X4) -> U202#(X1, X2, X3, X4), U202#(ok X1, ok X2, ok X3, ok X4) -> U202#(X1, X2, X3, X4), isNatural# ok X -> isNatural# X, U201#(mark X1, X2, X3, X4) -> U201#(X1, X2, X3, X4), U201#(ok X1, ok X2, ok X3, ok X4) -> U201#(X1, X2, X3, X4), U203#(mark X1, X2, X3, X4) -> U203#(X1, X2, X3, X4), U203#(ok X1, ok X2, ok X3, ok X4) -> U203#(X1, X2, X3, X4), U204#(mark X1, X2) -> U204#(X1, X2), U204#(ok X1, ok X2) -> U204#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2), U21#(mark X1, X2, X3) -> U21#(X1, X2, X3), U21#(ok X1, ok X2, ok X3) -> U21#(X1, X2, X3), U212#(mark X1, X2) -> U212#(X1, X2), U212#(ok X1, ok X2) -> U212#(X1, X2), U211#(mark X1, X2) -> U211#(X1, X2), U211#(ok X1, ok X2) -> U211#(X1, X2), U222#(mark X1, X2, X3) -> U222#(X1, X2, X3), U222#(ok X1, ok X2, ok X3) -> U222#(X1, X2, X3), U221#(mark X1, X2, X3) -> U221#(X1, X2, X3), U221#(ok X1, ok X2, ok X3) -> U221#(X1, X2, X3), fst# mark X -> fst# X, fst# ok X -> fst# X, U32#(mark X1, X2) -> U32#(X1, X2), U32#(ok X1, ok X2) -> U32#(X1, X2), U31#(mark X1, X2, X3) -> U31#(X1, X2, X3), U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3), U42# mark X -> U42# X, U42# ok X -> U42# X, U41#(mark X1, X2) -> U41#(X1, X2), U41#(ok X1, ok X2) -> U41#(X1, X2), U52# mark X -> U52# X, U52# ok X -> U52# X, U51#(mark X1, X2) -> U51#(X1, X2), U51#(ok X1, ok X2) -> U51#(X1, X2), U61# mark X -> U61# X, U61# ok X -> U61# X, U71# mark X -> U71# X, U71# ok X -> U71# X, U81# mark X -> U81# X, U81# ok X -> U81# X, U91# mark X -> U91# X, U91# ok X -> U91# 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# U102 X -> U102# proper X, proper# U102 X -> proper# X, proper# isLNat X -> isLNat# proper X, proper# isLNat X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2), proper# U101(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3), proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3), proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# U111 X -> U111# proper X, proper# U111 X -> proper# X, proper# snd X -> snd# proper X, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2), proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X, proper# U121 X -> proper# X, proper# U132 X -> U132# proper X, proper# U132 X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2), proper# U131(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X, proper# U142 X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2), proper# U141(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X, proper# U152 X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2), proper# U151(X1, X2) -> proper# X1, proper# U151(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# U161(X1, X2) -> U161#(proper X1, proper X2), proper# U161(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3), proper# U172(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3), proper# U171(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X, proper# head X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2), proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2), proper# U182(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2), proper# U181(X1, X2) -> proper# X1, proper# U181(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# U191(X1, X2) -> U191#(proper X1, proper X2), proper# U191(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4), proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4, proper# isNatural X -> isNatural# proper X, proper# isNatural X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4), proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4), proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U204(X1, X2) -> U204#(proper X1, proper X2), proper# U204(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2), proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3), proper# U21(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> U212#(proper X1, proper X2), proper# U212(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2), proper# U211(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3), proper# U222(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3), proper# U221(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X, proper# fst X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2), proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3), proper# U31(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X, proper# U42 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# U52 X -> U52# proper X, proper# U52 X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2), proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X, proper# U61 X -> proper# X, proper# U71 X -> U71# proper X, proper# U71 X -> proper# X, proper# U81 X -> U81# proper X, proper# U81 X -> proper# X, proper# U91 X -> U91# proper X, proper# U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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 } EDG: { (active# U12(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U12(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U12(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U12(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U12(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U12(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U12(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U12(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U12(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U12(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U12(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U12(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U12(X1, X2, X3) -> active# X1, active# U91 X -> U91# active X) (active# U12(X1, X2, X3) -> active# X1, active# U91 X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U81 X -> U81# active X) (active# U12(X1, X2, X3) -> active# X1, active# U81 X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U71 X -> U71# active X) (active# U12(X1, X2, X3) -> active# X1, active# U71 X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U61 X -> U61# active X) (active# U12(X1, X2, X3) -> active# X1, active# U61 X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U12(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U12(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U52 X -> U52# active X) (active# U12(X1, X2, X3) -> active# X1, active# U52 X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U12(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U12(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X) (active# U12(X1, X2, X3) -> active# X1, active# U42 X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U12(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U12(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U12(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U12(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U12(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U12(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U12(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U12(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U12(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U12(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U12(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U12(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U12(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U12(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U12(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U12(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U12(X1, X2, X3) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U12(X1, X2, X3) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U12(X1, X2, X3) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U12(X1, X2, X3) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U12(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U12(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U12(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U12(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U12(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U12(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U12(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U12(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U12(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U12(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U12(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U12(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U12(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U12(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> s# N) (active# U12(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U12(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U12(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U12(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U12(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U12(X1, X2, X3) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U12(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U12(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U12(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U152 X -> U152# active X) (active# U12(X1, X2, X3) -> active# X1, active# U152 X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U12(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U12(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U142 X -> U142# active X) (active# U12(X1, X2, X3) -> active# X1, active# U142 X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U12(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U12(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U132 X -> U132# active X) (active# U12(X1, X2, X3) -> active# X1, active# U132 X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U121 X -> U121# active X) (active# U12(X1, X2, X3) -> active# X1, active# U121 X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U12(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U12(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U12(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U111 X -> U111# active X) (active# U12(X1, X2, X3) -> active# X1, active# U111 X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U12(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U12(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U12(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U12(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U12(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U12(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U12(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U12(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U12(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U12(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U12(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U12(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U12(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U12(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U12(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U12(X1, X2, X3) -> active# X1, active# U102 X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# U102 X -> U102# active X) (active# splitAt(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, 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) -> active# X2) (active# splitAt(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# splitAt(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, 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) -> active# X2) (active# splitAt(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# splitAt(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# splitAt(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# splitAt(X1, X2) -> active# X1, active# tail X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# splitAt(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# splitAt(X1, X2) -> active# X1, active# U91 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# splitAt(X1, X2) -> active# X1, active# U81 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# splitAt(X1, X2) -> active# X1, active# U71 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# splitAt(X1, X2) -> active# X1, active# U61 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# splitAt(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# splitAt(X1, X2) -> active# X1, active# U52 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# splitAt(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# splitAt(X1, X2) -> active# X1, active# U42 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# splitAt(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (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# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# splitAt(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# splitAt(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# splitAt(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# splitAt(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# splitAt(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# splitAt(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# splitAt(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# splitAt(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# splitAt(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# splitAt(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# splitAt(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# splitAt(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# splitAt(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, 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) -> active# X2) (active# splitAt(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# splitAt(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# splitAt(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, 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) -> active# X2) (active# splitAt(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# splitAt(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# splitAt(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# head X -> head# active X) (active# splitAt(X1, X2) -> active# X1, active# head X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# splitAt(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# splitAt(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# splitAt(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# s X -> s# active X) (active# splitAt(X1, X2) -> active# X1, active# s X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# splitAt(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# splitAt(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# splitAt(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# splitAt(X1, X2) -> active# X1, active# U152 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# splitAt(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# splitAt(X1, X2) -> active# X1, active# U142 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# splitAt(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# splitAt(X1, X2) -> active# X1, active# U132 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# splitAt(X1, X2) -> active# X1, active# U121 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# splitAt(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# splitAt(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# splitAt(X1, X2) -> active# X1, active# snd X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# splitAt(X1, X2) -> active# X1, active# U111 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# splitAt(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# splitAt(X1, X2) -> active# X1, active# U102 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# U141(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U141(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U141(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U141(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U141(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U141(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U141(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U141(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U141(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U141(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U141(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U141(X1, X2) -> active# X1, active# tail X -> active# X) (active# U141(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U141(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U141(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U141(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U141(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# U141(X1, X2) -> active# X1, active# U91 X -> active# X) (active# U141(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# U141(X1, X2) -> active# X1, active# U81 X -> active# X) (active# U141(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# U141(X1, X2) -> active# X1, active# U71 X -> active# X) (active# U141(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# U141(X1, X2) -> active# X1, active# U61 X -> active# X) (active# U141(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U141(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U141(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# U141(X1, X2) -> active# X1, active# U52 X -> active# X) (active# U141(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U141(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U141(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# U141(X1, X2) -> active# X1, active# U42 X -> active# X) (active# U141(X1, X2) -> active# X1, 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active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U141(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U141(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U141(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U141(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U141(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U141(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U141(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U141(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U141(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U141(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U141(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U141(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U141(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U141(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U141(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U141(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U141(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U141(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U141(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U141(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U141(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U141(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U141(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U141(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U141(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U141(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U141(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U141(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U141(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U141(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U141(X1, X2) -> active# X1, active# head X -> head# active X) (active# U141(X1, X2) -> active# X1, active# head X -> active# X) (active# U141(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U141(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U141(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U141(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U141(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U141(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U141(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U141(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U141(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U141(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# s X -> s# active X) (active# U141(X1, X2) -> active# X1, active# s X -> active# X) (active# U141(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U141(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U141(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U141(X1, X2) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U141(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U141(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U141(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# U141(X1, X2) -> active# X1, active# U152 X -> active# X) (active# U141(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U141(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U141(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# U141(X1, X2) -> active# X1, active# U142 X -> active# X) (active# U141(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U141(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U141(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# U141(X1, X2) -> active# X1, active# U132 X -> active# X) (active# U141(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# U141(X1, X2) -> active# X1, active# U121 X -> active# X) (active# U141(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U141(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U141(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U141(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U141(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U141(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U141(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U141(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U141(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U141(X1, X2) -> active# X1, active# snd X -> active# X) (active# U141(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# U141(X1, X2) -> active# X1, active# U111 X -> active# X) (active# U141(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U141(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U141(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U141(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U141(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U141(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U141(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U141(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U141(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U141(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U141(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U141(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U141(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U141(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U141(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U141(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U141(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U141(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U141(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U141(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U141(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U141(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U141(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U141(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U141(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U141(X1, X2) -> active# X1, active# U102 X -> active# X) (active# U141(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# cons(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# cons(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# cons(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, 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cons(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# cons(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# cons(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# cons(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# cons(X1, X2) -> active# X1, active# U91 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# cons(X1, X2) -> active# X1, active# U81 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# cons(X1, X2) -> active# X1, active# U71 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# cons(X1, X2) -> active# X1, active# U61 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# cons(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# cons(X1, X2) -> active# X1, active# U51(X1, X2) 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U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# cons(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# cons(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# cons(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# cons(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# cons(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# cons(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# cons(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# cons(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# cons(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# cons(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# cons(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) 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-> active# X1) (active# cons(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# cons(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# cons(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# cons(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# cons(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# cons(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# cons(X1, X2) -> active# X1, active# head X -> head# active X) (active# cons(X1, X2) -> active# X1, active# head X -> active# X) (active# cons(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# cons(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) 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active# s X -> active# X) (active# cons(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# cons(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# cons(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# cons(X1, X2) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# cons(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# cons(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# cons(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# cons(X1, X2) -> active# X1, active# U152 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# cons(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# cons(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# cons(X1, X2) -> active# X1, active# U142 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# cons(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# cons(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# cons(X1, X2) -> active# X1, active# U132 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# cons(X1, X2) -> active# X1, active# U121 X -> active# X) (active# cons(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# cons(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# cons(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# cons(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# cons(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# cons(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# cons(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# cons(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# cons(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# cons(X1, X2) -> active# X1, active# snd X -> active# X) (active# cons(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# cons(X1, X2) -> active# X1, active# U111 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# cons(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# cons(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# cons(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# cons(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# cons(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# cons(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# cons(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# cons(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# cons(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# cons(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# cons(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# cons(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# cons(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# cons(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# cons(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# cons(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# cons(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# cons(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# cons(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# cons(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# cons(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# cons(X1, X2) -> active# X1, active# U102 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# U172(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U172(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U172(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U172(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U172(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U172(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U172(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U172(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U172(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U172(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U172(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U172(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U172(X1, X2, X3) -> active# X1, active# U91 X -> U91# active X) (active# U172(X1, X2, X3) -> active# X1, active# U91 X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U81 X -> U81# active X) (active# U172(X1, X2, X3) -> active# X1, active# U81 X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U71 X -> U71# active X) (active# U172(X1, X2, X3) -> active# X1, active# U71 X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U61 X -> U61# active X) (active# U172(X1, X2, X3) -> active# X1, active# U61 X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U172(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U172(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U52 X -> U52# active X) (active# U172(X1, X2, X3) -> active# X1, active# U52 X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U172(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U172(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X) (active# U172(X1, X2, X3) -> active# X1, active# U42 X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U172(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U172(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U172(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U172(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U172(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U172(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U172(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U172(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U172(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U172(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U172(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U172(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U172(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U172(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U172(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U172(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U172(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U172(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U172(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U172(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U172(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U172(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U172(X1, X2, X3) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U172(X1, X2, X3) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U172(X1, X2, X3) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U172(X1, X2, X3) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U172(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U172(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U172(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U172(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U172(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U172(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U172(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U172(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U172(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U172(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U172(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U172(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U172(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U172(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U172(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U172(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U172(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> s# N) (active# U172(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U172(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U172(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U172(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U172(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U172(X1, X2, X3) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U172(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U172(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U172(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U152 X -> U152# active X) (active# U172(X1, X2, X3) -> active# X1, active# U152 X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U172(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U172(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U142 X -> U142# active X) (active# U172(X1, X2, X3) -> active# X1, active# U142 X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U172(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U172(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U132 X -> U132# active X) (active# U172(X1, X2, X3) -> active# X1, active# U132 X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U121 X -> U121# active X) (active# U172(X1, X2, X3) -> active# X1, active# U121 X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U172(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U172(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U172(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U172(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U172(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U172(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U172(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U172(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U172(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U111 X -> U111# active X) (active# U172(X1, X2, X3) -> active# X1, active# U111 X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U172(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U172(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U172(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U172(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U172(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U172(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U172(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U172(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U172(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U172(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U172(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U172(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U172(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U172(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U172(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U172(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U172(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U172(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U172(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U172(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U172(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U172(X1, X2, X3) -> active# X1, active# U102 X -> active# X) (active# U172(X1, X2, X3) -> active# X1, active# U102 X -> U102# active X) (active# afterNth(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# afterNth(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# afterNth(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# afterNth(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# afterNth(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# afterNth(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# afterNth(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# afterNth(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# afterNth(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# afterNth(X1, X2) -> active# X1, active# tail X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# afterNth(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# afterNth(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# afterNth(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# afterNth(X1, X2) -> active# X1, active# U91 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# afterNth(X1, X2) -> active# X1, active# U81 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# afterNth(X1, X2) -> active# X1, active# U71 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# afterNth(X1, X2) -> active# X1, active# U61 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# afterNth(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# afterNth(X1, X2) -> active# X1, active# U52 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# afterNth(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# afterNth(X1, X2) -> active# X1, active# U42 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# afterNth(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# afterNth(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# afterNth(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# afterNth(X1, X2) -> active# X1, active# fst X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# afterNth(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# afterNth(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# afterNth(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# afterNth(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# afterNth(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# afterNth(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# afterNth(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# afterNth(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# afterNth(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# afterNth(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# afterNth(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# afterNth(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# afterNth(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# afterNth(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# afterNth(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# afterNth(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# afterNth(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# afterNth(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# afterNth(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# afterNth(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# afterNth(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# afterNth(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# afterNth(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# afterNth(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# afterNth(X1, X2) -> active# X1, active# head X -> head# active X) (active# afterNth(X1, X2) -> active# X1, active# head X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# afterNth(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# afterNth(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# afterNth(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# s X -> s# active X) (active# afterNth(X1, X2) -> active# X1, active# s X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# afterNth(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# afterNth(X1, X2) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# afterNth(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# afterNth(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# afterNth(X1, X2) -> active# X1, active# U152 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# afterNth(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# afterNth(X1, X2) -> active# X1, active# U142 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# afterNth(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# afterNth(X1, X2) -> active# X1, active# U132 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# afterNth(X1, X2) -> active# X1, active# U121 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# afterNth(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# afterNth(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# afterNth(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# afterNth(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# afterNth(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# afterNth(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# afterNth(X1, X2) -> active# X1, active# snd X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# afterNth(X1, X2) -> active# X1, active# U111 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# afterNth(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# afterNth(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# afterNth(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# afterNth(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# afterNth(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# afterNth(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# afterNth(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# afterNth(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# afterNth(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) 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-> take#(X1, active X2)) (active# U181(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U181(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U181(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U181(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U181(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U181(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U181(X1, X2) -> active# X1, active# tail X -> active# X) (active# U181(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U181(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U181(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U181(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) 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active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U181(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U181(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# U181(X1, X2) -> active# X1, active# U42 X -> active# X) (active# U181(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U181(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U181(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U181(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U181(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U181(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U181(X1, X2) -> active# X1, active# fst X -> active# X) (active# U181(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U181(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U181(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U181(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U181(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U181(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U181(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U181(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U181(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U181(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U181(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U181(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U181(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U181(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U181(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U181(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U181(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U181(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U181(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U181(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U181(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U181(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U181(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U181(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U181(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U181(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U181(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U181(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U181(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U181(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U181(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U181(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U181(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U181(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U181(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U181(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U181(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U181(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U181(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U181(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U181(X1, X2) -> active# X1, active# head X -> head# active X) (active# U181(X1, X2) -> active# X1, active# head X -> active# X) (active# U181(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U181(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U181(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U181(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U181(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U181(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U181(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U181(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U181(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U181(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# s X -> s# active X) (active# U181(X1, X2) -> active# X1, active# s X -> active# X) (active# U181(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U181(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U181(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U181(X1, X2) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U181(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U181(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U181(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# U181(X1, X2) -> active# X1, active# U152 X -> active# X) (active# U181(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U181(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U181(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# U181(X1, X2) -> active# X1, active# U142 X -> active# X) (active# U181(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U181(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U181(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# U181(X1, X2) -> active# X1, active# U132 X -> active# X) (active# U181(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# U181(X1, X2) -> active# X1, active# U121 X -> active# X) (active# U181(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U181(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U181(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U181(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U181(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U181(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U181(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U181(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U181(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U181(X1, X2) -> active# X1, active# snd X -> active# X) (active# U181(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# U181(X1, X2) -> active# X1, active# U111 X -> active# X) (active# U181(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U181(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U181(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U181(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U181(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U181(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U181(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U181(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U181(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U181(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U181(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U181(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U181(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U181(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U181(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U181(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U181(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U181(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U181(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U181(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U181(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U181(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U181(X1, X2) -> active# X1, active# U102 X -> active# X) (active# U181(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# U191(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U191(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U191(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U191(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U191(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U191(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U191(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U191(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U191(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U191(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U191(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U191(X1, X2) -> active# X1, active# tail X -> active# X) (active# U191(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U191(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U191(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U191(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U191(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# U191(X1, X2) -> active# X1, active# U91 X -> active# X) (active# U191(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# U191(X1, X2) -> active# X1, active# U81 X -> active# X) (active# U191(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# U191(X1, X2) -> active# X1, active# U71 X -> active# X) (active# U191(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# U191(X1, X2) -> active# X1, active# U61 X -> active# X) (active# U191(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U191(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U191(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# U191(X1, X2) -> active# X1, active# U52 X -> active# X) (active# U191(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U191(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U191(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# U191(X1, X2) -> active# X1, active# U42 X -> active# X) (active# U191(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U191(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U191(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U191(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U191(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U191(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U191(X1, X2) -> active# X1, active# fst X -> active# X) (active# U191(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U191(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U191(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U191(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U191(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U191(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U191(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U191(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U191(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U191(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U191(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U191(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U191(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U191(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U191(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U191(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U191(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U191(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U191(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U191(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U191(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U191(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U191(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U191(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U191(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U191(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U191(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U191(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U191(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U191(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U191(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U191(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U191(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U191(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U191(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U191(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U191(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U191(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U191(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U191(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U191(X1, X2) -> active# X1, active# head X -> head# active X) (active# U191(X1, X2) -> active# X1, active# head X -> active# X) (active# U191(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U191(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U191(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U191(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U191(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U191(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U191(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U191(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U191(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U191(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# s X -> s# active X) (active# U191(X1, X2) -> active# X1, active# s X -> active# X) (active# U191(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U191(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U191(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U191(X1, X2) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U191(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U191(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U191(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# U191(X1, X2) -> active# X1, active# U152 X -> active# X) (active# U191(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U191(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U191(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# U191(X1, X2) -> active# X1, active# U142 X -> active# X) (active# U191(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U191(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U191(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# U191(X1, X2) -> active# X1, active# U132 X -> active# X) (active# U191(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# U191(X1, X2) -> active# X1, active# U121 X -> active# X) (active# U191(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U191(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U191(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U191(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U191(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U191(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U191(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U191(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U191(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U191(X1, X2) -> active# X1, active# snd X -> active# X) (active# U191(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# U191(X1, X2) -> active# X1, active# U111 X -> active# X) (active# U191(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U191(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U191(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U191(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U191(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U191(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U191(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U191(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U191(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U191(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U191(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U191(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U191(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U191(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U191(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U191(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U191(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U191(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U191(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U191(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U191(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U191(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U191(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U191(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U191(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U191(X1, X2) -> active# X1, active# U102 X -> active# X) (active# U191(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U201(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X2) (active# U201(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# tail X -> tail# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# tail X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U91 X -> U91# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U91 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U81 X -> U81# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U81 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U71 X -> U71# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U71 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U61 X -> U61# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U61 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U52 X -> U52# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U52 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U42 X -> U42# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U42 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U201(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# fst X -> fst# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# fst X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U201(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U201(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U201(X1, X2, X3, X4) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U201(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# head X -> head# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# head X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U161(tt(), N) -> s# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U201(X1, X2, X3, X4) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# s X -> s# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# s X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> isNatural# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U201(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U152 X -> U152# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U152 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U142 X -> U142# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U142 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U132 X -> U132# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U132 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U121 X -> U121# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U121 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U201(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# snd X -> snd# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# snd X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U111 X -> U111# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U111 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U102 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U102 X -> U102# active X) (active# U204(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U204(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U204(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U204(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U204(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U204(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U204(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U204(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U204(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U204(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U204(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U204(X1, X2) -> active# X1, active# tail X -> active# X) (active# U204(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U204(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U204(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U204(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U204(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# U204(X1, X2) -> active# X1, active# U91 X -> active# X) (active# U204(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# U204(X1, X2) -> active# X1, active# U81 X -> active# X) (active# U204(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# U204(X1, X2) -> active# X1, active# U71 X -> active# X) (active# U204(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# U204(X1, X2) -> active# X1, active# U61 X -> active# X) (active# U204(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U204(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U204(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# U204(X1, X2) -> active# X1, active# U52 X -> active# X) (active# U204(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U204(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U204(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# U204(X1, X2) -> active# X1, active# U42 X -> active# X) (active# U204(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U204(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U204(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U204(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U204(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U204(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U204(X1, X2) -> active# X1, active# fst X -> active# X) (active# U204(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U204(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U204(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U204(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U204(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U204(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U204(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U204(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U204(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U204(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U204(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U204(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U204(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U204(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U204(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U204(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U204(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U204(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U204(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U204(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U204(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U204(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U204(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U204(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U204(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U204(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U204(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U204(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U204(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U204(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U204(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U204(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U204(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U204(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U204(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U204(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U204(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U204(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U204(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U204(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U204(X1, X2) -> active# X1, active# head X -> head# active X) (active# U204(X1, X2) -> active# X1, active# head X -> active# X) (active# U204(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U204(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U204(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U204(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U204(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U204(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U204(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) 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active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U204(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U204(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# U204(X1, X2) -> active# X1, active# U152 X -> active# X) (active# U204(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U204(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U204(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# U204(X1, X2) -> active# X1, active# U142 X -> active# X) (active# U204(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U204(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U204(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# U204(X1, X2) -> active# X1, active# U132 X -> active# X) (active# U204(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# U204(X1, X2) -> active# X1, active# U121 X -> active# X) (active# U204(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U204(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U204(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U204(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U204(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U204(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U204(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U204(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U204(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U204(X1, X2) -> active# X1, active# snd X -> active# X) (active# U204(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# U204(X1, X2) -> active# X1, active# U111 X -> active# X) (active# U204(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U204(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U204(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U204(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U204(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U204(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U204(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U204(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U204(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U204(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U204(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U204(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U204(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U204(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U204(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U204(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U204(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U204(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U204(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U204(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U204(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U204(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U204(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U204(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U204(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U204(X1, X2) -> active# X1, active# U102 X -> active# X) (active# U204(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# U21(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U21(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U21(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U21(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U21(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U21(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U21(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U21(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U21(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U21(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U21(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U21(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U21(X1, X2, X3) -> active# X1, active# U91 X -> U91# active X) (active# U21(X1, X2, X3) -> active# X1, active# U91 X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U81 X -> U81# active X) (active# U21(X1, X2, X3) -> active# X1, active# U81 X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U71 X -> U71# active X) (active# U21(X1, X2, X3) -> active# X1, active# U71 X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U61 X -> U61# active X) (active# U21(X1, X2, X3) -> active# X1, active# U61 X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U21(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U21(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U52 X -> U52# active X) (active# U21(X1, X2, X3) -> active# X1, active# U52 X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U21(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U21(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X) (active# U21(X1, X2, X3) -> active# X1, active# U42 X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U21(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U21(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U21(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U21(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U21(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U21(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U21(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U21(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U21(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U21(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U21(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U21(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U21(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U21(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U21(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U21(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U21(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U21(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U21(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U21(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U21(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U21(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U21(X1, X2, X3) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U21(X1, X2, X3) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U21(X1, X2, X3) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U21(X1, X2, X3) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U21(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U21(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U21(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U21(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U21(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U21(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U21(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U21(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U21(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U21(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U21(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U21(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U21(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U21(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U21(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U21(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U21(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> s# N) (active# U21(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U21(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U21(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U21(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U21(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U21(X1, X2, X3) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U21(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U21(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U21(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U152 X -> U152# active X) (active# U21(X1, X2, X3) -> active# X1, active# U152 X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U21(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U21(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U142 X -> U142# active X) (active# U21(X1, X2, X3) -> active# X1, active# U142 X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U21(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U21(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U132 X -> U132# active X) (active# U21(X1, X2, X3) -> active# X1, active# U132 X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U121 X -> U121# active X) (active# U21(X1, X2, X3) -> active# X1, active# U121 X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U21(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U21(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U21(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U21(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U21(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U21(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U21(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U21(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U21(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U111 X -> U111# active X) (active# U21(X1, X2, X3) -> active# X1, active# U111 X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U21(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U21(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U21(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U21(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U21(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U21(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U21(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U21(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U21(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U21(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U21(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U21(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U21(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U21(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U21(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U21(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U21(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U21(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U21(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U21(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U21(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U21(X1, X2, X3) -> active# X1, active# U102 X -> active# X) (active# U21(X1, X2, X3) -> active# X1, active# U102 X -> U102# active X) (active# U211(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U211(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U211(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U211(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U211(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U211(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U211(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U211(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U211(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U211(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U211(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U211(X1, X2) -> active# X1, active# tail X -> active# X) (active# U211(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U211(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U211(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U211(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U211(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# U211(X1, X2) -> active# X1, active# U91 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# U211(X1, X2) -> active# X1, active# U81 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# U211(X1, X2) -> active# X1, active# U71 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# U211(X1, X2) -> active# X1, active# U61 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U211(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U211(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# U211(X1, X2) -> active# X1, active# U52 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U211(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U211(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# U211(X1, X2) -> active# X1, active# U42 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U211(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U211(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U211(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U211(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U211(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U211(X1, X2) -> active# X1, active# fst X -> active# X) (active# U211(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U211(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U211(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U211(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U211(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U211(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U211(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U211(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U211(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U211(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U211(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U211(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U211(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U211(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U211(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U211(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U211(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U211(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U211(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U211(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U211(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U211(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U211(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U211(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U211(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U211(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U211(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U211(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U211(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U211(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U211(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U211(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U211(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U211(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U211(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U211(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U211(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U211(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U211(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U211(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U211(X1, X2) -> active# X1, active# head X -> head# active X) (active# U211(X1, X2) -> active# X1, active# head X -> active# X) (active# U211(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U211(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U211(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U211(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U211(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U211(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U211(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U211(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U211(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U211(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# s X -> s# active X) (active# U211(X1, X2) -> active# X1, active# s X -> active# X) (active# U211(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U211(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U211(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U211(X1, X2) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U211(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U211(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U211(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# U211(X1, X2) -> active# X1, active# U152 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U211(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U211(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# U211(X1, X2) -> active# X1, active# U142 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U211(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U211(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# U211(X1, X2) -> active# X1, active# U132 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# U211(X1, X2) -> active# X1, active# U121 X -> active# X) (active# U211(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U211(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U211(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U211(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U211(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U211(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U211(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U211(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U211(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U211(X1, X2) -> active# X1, active# snd X -> active# X) (active# U211(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# U211(X1, X2) -> active# X1, active# U111 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U211(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U211(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U211(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U211(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U211(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U211(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U211(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U211(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U211(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U211(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U211(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U211(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U211(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U211(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U211(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U211(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U211(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U211(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U211(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U211(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U211(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U211(X1, X2) -> active# X1, active# U102 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# U221(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U221(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U221(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U221(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U221(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U221(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U221(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U221(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U221(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U221(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U221(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U221(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U221(X1, X2, X3) -> active# X1, active# U91 X -> U91# active X) (active# U221(X1, X2, X3) -> active# X1, active# U91 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U81 X -> U81# active X) (active# U221(X1, X2, X3) -> active# X1, active# U81 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U71 X -> U71# active X) (active# U221(X1, X2, X3) -> active# X1, active# U71 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U61 X -> U61# active X) (active# U221(X1, X2, X3) -> active# X1, active# U61 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U221(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U221(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U52 X -> U52# active X) (active# U221(X1, X2, X3) -> active# X1, active# U52 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U221(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U221(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X) (active# U221(X1, X2, X3) -> active# X1, active# U42 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U221(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U221(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U221(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U221(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U221(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U221(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U221(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U221(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U221(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U221(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U221(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U221(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U221(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U221(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U221(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U221(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U221(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U221(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U221(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U221(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U221(X1, X2, X3) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U221(X1, X2, X3) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U221(X1, X2, X3) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U221(X1, X2, X3) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U221(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U221(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U221(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U221(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U221(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U221(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U221(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U221(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U221(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U221(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U221(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U221(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U221(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U221(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U221(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U221(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> s# N) (active# U221(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U221(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U221(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U221(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U221(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U221(X1, X2, X3) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U221(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U221(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U221(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U152 X -> U152# active X) (active# U221(X1, X2, X3) -> active# X1, active# U152 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U221(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U221(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U142 X -> U142# active X) (active# U221(X1, X2, X3) -> active# X1, active# U142 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U221(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U221(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U132 X -> U132# active X) (active# U221(X1, X2, X3) -> active# X1, active# U132 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U121 X -> U121# active X) (active# U221(X1, X2, X3) -> active# X1, active# U121 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U221(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U221(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U221(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U221(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U221(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U221(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U221(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U221(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U221(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U111 X -> U111# active X) (active# U221(X1, X2, X3) -> active# X1, active# U111 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U221(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U221(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U221(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U221(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U221(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U221(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U221(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U221(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U221(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U221(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U221(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U221(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U221(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U221(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U221(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U221(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U221(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U221(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U221(X1, X2, X3) -> active# X1, active# U102 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U102 X -> U102# active X) (active# U31(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U31(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U31(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U31(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U31(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U31(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U31(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U31(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U31(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U31(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U31(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U31(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U31(X1, X2, X3) -> active# X1, active# U91 X -> U91# active X) (active# U31(X1, X2, X3) -> active# X1, active# U91 X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U81 X -> U81# active X) (active# U31(X1, X2, X3) -> active# X1, active# U81 X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U71 X -> U71# active X) (active# U31(X1, X2, X3) -> active# X1, active# U71 X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U61 X -> U61# active X) (active# U31(X1, X2, X3) -> active# X1, active# U61 X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U31(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U31(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U52 X -> U52# active X) (active# U31(X1, X2, X3) -> active# X1, active# U52 X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U31(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U31(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X) (active# U31(X1, X2, X3) -> active# X1, active# U42 X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U31(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U31(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U31(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U31(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U31(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U31(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U31(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U31(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U31(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U31(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U31(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U31(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U31(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U31(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U31(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U31(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U31(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U31(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U31(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U31(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U31(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U31(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U31(X1, X2, X3) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U31(X1, X2, X3) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U31(X1, X2, X3) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U31(X1, X2, X3) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U31(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U31(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U31(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U31(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U31(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U31(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U31(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U31(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U31(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U31(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U31(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U31(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U31(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U31(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U31(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U31(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U31(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> s# N) (active# U31(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U31(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U31(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U31(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U31(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U31(X1, X2, X3) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U31(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U31(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U31(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U152 X -> U152# active X) (active# U31(X1, X2, X3) -> active# X1, active# U152 X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U31(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U31(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U142 X -> U142# active X) (active# U31(X1, X2, X3) -> active# X1, active# U142 X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U31(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U31(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U132 X -> U132# active X) (active# U31(X1, X2, X3) -> active# X1, active# U132 X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U121 X -> U121# active X) (active# U31(X1, X2, X3) -> active# X1, active# U121 X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U31(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U31(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U31(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U31(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U31(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U31(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U31(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U31(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U31(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U111 X -> U111# active X) (active# U31(X1, X2, X3) -> active# X1, active# U111 X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U31(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U31(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U31(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U31(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U31(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U31(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U31(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U31(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U31(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U31(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U31(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U31(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U31(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U31(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U31(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U31(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U31(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U31(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U31(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U31(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U31(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U31(X1, X2, X3) -> active# X1, active# U102 X -> active# X) (active# U31(X1, X2, X3) -> active# X1, active# U102 X -> U102# active X) (active# U51(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U51(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U51(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U51(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U51(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U51(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U51(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U51(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U51(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U51(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U51(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U51(X1, X2) -> active# X1, active# tail X -> active# X) (active# U51(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U51(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U51(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U51(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U51(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# U51(X1, X2) -> active# X1, active# U91 X -> active# X) (active# U51(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# U51(X1, X2) -> active# X1, active# U81 X -> active# X) (active# U51(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# U51(X1, X2) -> active# X1, active# U71 X -> active# X) (active# U51(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# U51(X1, X2) -> active# X1, active# U61 X -> active# X) (active# U51(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U51(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U51(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# U51(X1, X2) -> active# X1, active# U52 X -> active# X) (active# U51(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U51(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U51(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# U51(X1, X2) -> active# X1, active# U42 X -> active# X) (active# U51(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U51(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U51(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U51(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U51(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U51(X1, X2) -> active# X1, active# fst X -> active# X) (active# U51(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U51(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U51(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U51(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U51(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U51(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U51(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U51(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U51(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U51(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U51(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U51(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U51(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U51(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U51(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U51(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U51(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U51(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U51(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U51(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U51(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U51(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U51(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U51(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U51(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U51(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U51(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U51(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U51(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U51(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U51(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U51(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U51(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U51(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U51(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U51(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U51(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U51(X1, X2) -> active# X1, active# head X -> head# active X) (active# U51(X1, X2) -> active# X1, active# head X -> active# X) (active# U51(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U51(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U51(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U51(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U51(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U51(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U51(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U51(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# s X -> s# active X) (active# U51(X1, X2) -> active# X1, active# s X -> active# X) (active# U51(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U51(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U51(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U51(X1, X2) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U51(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U51(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U51(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# U51(X1, X2) -> active# X1, active# U152 X -> active# X) (active# U51(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U51(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U51(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# U51(X1, X2) -> active# X1, active# U142 X -> active# X) (active# U51(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U51(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U51(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# U51(X1, X2) -> active# X1, active# U132 X -> active# X) (active# U51(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# U51(X1, X2) -> active# X1, active# U121 X -> active# X) (active# U51(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U51(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U51(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U51(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U51(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U51(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U51(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U51(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U51(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U51(X1, X2) -> active# X1, active# snd X -> active# X) (active# U51(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# U51(X1, X2) -> active# X1, active# U111 X -> active# X) (active# U51(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U51(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U51(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U51(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U51(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U51(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U51(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U51(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U51(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U51(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U51(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U51(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U51(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U51(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U51(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U51(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U51(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U51(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U51(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U51(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U51(X1, X2) -> active# X1, active# U102 X -> active# X) (active# U51(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# sel(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# sel(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# sel(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# take(N, XS) -> 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X -> active# X) (active# sel(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# sel(X1, X2) -> active# X1, active# U71 X -> active# X) (active# sel(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# sel(X1, X2) -> active# X1, active# U61 X -> active# X) (active# sel(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# sel(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# sel(X1, X2) -> active# X1, active# U52 X -> active# X) (active# sel(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# sel(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (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# U42 X -> U42# active X) (active# sel(X1, X2) -> active# X1, active# U42 X -> active# X) (active# sel(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# sel(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# sel(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# sel(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# sel(X1, X2) -> active# X1, active# fst X -> active# X) (active# sel(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# sel(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# sel(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# sel(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# sel(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# sel(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# sel(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# sel(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# sel(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# sel(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# sel(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# sel(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# sel(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# sel(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# sel(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# sel(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# sel(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (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# isNatural s V1 -> U121# isNatural V1) (active# sel(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# sel(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# sel(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# sel(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# sel(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U191(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# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# sel(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# sel(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U182(X1, X2) -> 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) -> isNatural# N) (active# sel(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# sel(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# sel(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# 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# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# sel(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# sel(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# sel(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# sel(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# sel(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# sel(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U161(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 -> U161#(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# U151(tt(), V2) -> U152# isLNat V2) (active# sel(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# sel(X1, X2) -> active# X1, active# U152 X -> active# X) (active# sel(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# sel(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# sel(X1, X2) -> active# X1, active# U142 X -> active# X) (active# sel(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# sel(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# sel(X1, X2) -> active# X1, active# U132 X -> active# X) (active# sel(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# sel(X1, X2) -> active# X1, active# U121 X -> active# X) (active# sel(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# sel(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# sel(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# sel(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (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# splitAt(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# sel(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (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# U111 X -> U111# active X) (active# sel(X1, X2) -> active# X1, active# U111 X -> active# X) (active# sel(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# sel(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# 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# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# sel(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# sel(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# sel(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# sel(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# sel(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# sel(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# sel(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# sel(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# sel(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# sel(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# sel(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# sel(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# sel(X1, X2) -> active# X1, active# U102 X -> active# X) (active# sel(X1, X2) -> active# X1, active# U102 X -> U102# active X) (proper# U12(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U91 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U81 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U71 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U61 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U52 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U152 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U142 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U132 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U121 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U111 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U102 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# U102 X -> U102# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (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# X1) (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# U12(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U141(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U141(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U141(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U141(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U141(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U141(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U141(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U141(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U141(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U141(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U141(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U141(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U141(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U141(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U141(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U141(X1, X2) -> proper# X1, proper# U102 X -> U102# 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# U91 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U52 X -> U52# 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# U42 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# cons(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (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# U202(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# cons(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(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# U181(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(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# U151(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# cons(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (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# U102 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U91 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U81 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U71 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U61 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U52 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U172(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U172(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U172(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U172(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U152 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U142 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U132 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U121 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U111 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U102 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X1, proper# U102 X -> U102# 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# U91 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U52 X -> U52# 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# U42 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# afterNth(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (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# U202(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# afterNth(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(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# U181(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(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# U151(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (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# U102 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U181(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U181(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U181(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U181(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U181(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U181(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U181(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U181(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U181(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U181(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U181(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U191(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U191(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U191(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U191(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U191(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U191(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U191(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U191(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U191(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U191(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U191(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# tail X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# tail X -> tail# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U91 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U81 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U71 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U61 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U52 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U42 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# fst X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# fst X -> fst# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# isNatural X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# head X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# head X -> head# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# s X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# s X -> s# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U152 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U142 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U132 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U121 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# snd X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# snd X -> snd# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U111 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# isLNat X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U102 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U204(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U204(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U204(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U204(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U204(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U204(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U204(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U204(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U204(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U204(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U204(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U204(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U204(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U204(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U204(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U204(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U91 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U81 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U71 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U61 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U52 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U152 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U142 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U132 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U121 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U111 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U102 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U211(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U211(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U211(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U211(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U211(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U211(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U211(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U211(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U211(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U211(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U211(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U91 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U81 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U71 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U61 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U52 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U221(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U221(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U221(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U221(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U152 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U142 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U132 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U121 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U111 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U102 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U91 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U81 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U71 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U61 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U52 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U152 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U142 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U132 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U121 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U111 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U102 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U51(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U51(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U51(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U51(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U51(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# U102 X -> U102# 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# U91 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U52 X -> U52# 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# U42 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(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# sel(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# sel(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (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# U202(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# sel(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(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# U181(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (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# U171(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(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# U151(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (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# snd X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (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# U12(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (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# U102 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (active# isLNat cons(V1, V2) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# isLNat afterNth(V1, V2) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# isLNat tail V1 -> isLNat# V1, 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# isPLNat pair(V1, V2) -> isLNat# V1, isLNat# ok X -> isLNat# X) (proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3), U171#(ok X1, ok X2, ok X3) -> U171#(X1, X2, X3)) (proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3), U171#(mark X1, X2, X3) -> U171#(X1, X2, X3)) (proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3), U222#(ok X1, ok X2, ok X3) -> U222#(X1, X2, X3)) (proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3), U222#(mark X1, X2, X3) -> U222#(X1, X2, X3)) (proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3), U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3)) (proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3), U31#(mark X1, X2, X3) -> U31#(X1, X2, X3)) (active# U181(tt(), Y) -> U182#(isLNat Y, Y), U182#(ok X1, ok X2) -> U182#(X1, X2)) (active# U181(tt(), Y) -> U182#(isLNat Y, Y), U182#(mark X1, X2) -> U182#(X1, X2)) (U102# ok X -> U102# X, U102# ok X -> U102# X) (U102# ok X -> U102# X, U102# mark X -> U102# X) (active# U102 X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U102 X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U102 X -> active# X, active# sel(X1, X2) -> active# X2) (active# U102 X -> active# X, active# sel(X1, X2) -> active# X1) (active# U102 X -> active# X, active# sel(N, XS) -> isNatural# N) (active# U102 X -> active# X, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U102 X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (active# U102 X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (active# U102 X -> active# X, active# take(X1, X2) -> active# X2) (active# U102 X -> active# X, active# take(X1, X2) -> active# X1) (active# U102 X -> active# X, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U102 X -> active# X, active# take(N, XS) -> isNatural# N) (active# U102 X -> active# X, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U102 X -> active# X, active# tail cons(N, XS) -> isNatural# N) (active# U102 X -> active# X, active# tail X -> tail# active X) (active# U102 X -> active# X, active# tail X -> active# X) (active# U102 X -> active# X, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U102 X -> active# X, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U102 X -> active# X, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U102 X -> active# X, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U102 X -> active# X, active# U91 X -> U91# active X) (active# U102 X -> active# X, active# U91 X -> active# X) (active# U102 X -> active# X, active# U81 X -> U81# active X) (active# U102 X -> active# X, active# U81 X -> active# X) (active# U102 X -> active# X, active# U71 X -> U71# active X) (active# U102 X -> active# X, active# U71 X -> active# X) (active# U102 X -> active# X, active# U61 X -> U61# active X) (active# U102 X -> active# X, active# U61 X -> active# X) (active# U102 X -> active# X, active# U51(tt(), V2) -> U52# isLNat V2) (active# U102 X -> active# X, active# U51(tt(), V2) -> isLNat# V2) (active# U102 X -> active# X, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U102 X -> active# X, active# U51(X1, X2) -> active# X1) (active# U102 X -> active# X, active# U52 X -> U52# active X) (active# U102 X -> active# X, active# U52 X -> active# X) (active# U102 X -> active# X, active# U41(tt(), V2) -> U42# isLNat V2) (active# U102 X -> active# X, active# U41(tt(), V2) -> isLNat# V2) (active# U102 X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U102 X -> active# X, active# U41(X1, X2) -> active# X1) (active# U102 X -> active# X, active# U42 X -> U42# active X) (active# U102 X -> active# X, active# U42 X -> active# X) (active# U102 X -> active# X, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U102 X -> active# X, active# U31(tt(), N, XS) -> isLNat# XS) (active# U102 X -> active# X, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U102 X -> active# X, active# U31(X1, X2, X3) -> active# X1) (active# U102 X -> active# X, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U102 X -> active# X, active# U32(X1, X2) -> active# X1) (active# U102 X -> active# X, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U102 X -> active# X, active# fst pair(X, Y) -> isLNat# X) (active# U102 X -> active# X, active# fst X -> fst# active X) (active# U102 X -> active# X, active# fst X -> active# X) (active# U102 X -> active# X, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U102 X -> active# X, active# U221(tt(), N, XS) -> isLNat# XS) (active# U102 X -> active# X, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U102 X -> active# X, active# U221(X1, X2, X3) -> active# X1) (active# U102 X -> active# X, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U102 X -> active# X, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U102 X -> active# X, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U102 X -> active# X, active# U222(X1, X2, X3) -> active# X1) (active# U102 X -> active# X, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U102 X -> active# X, active# U211(tt(), XS) -> isLNat# XS) (active# U102 X -> active# X, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U102 X -> active# X, active# U211(X1, X2) -> active# X1) (active# U102 X -> active# X, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U102 X -> active# X, active# U212(X1, X2) -> active# X1) (active# U102 X -> active# X, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U102 X -> active# X, active# U21(tt(), X, Y) -> isLNat# Y) (active# U102 X -> active# X, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U102 X -> active# X, active# U21(X1, X2, X3) -> active# X1) (active# U102 X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U102 X -> active# X, active# U22(X1, X2) -> active# X1) (active# U102 X -> active# X, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U102 X -> active# X, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U102 X -> active# X, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U102 X -> active# X, active# U204(X1, X2) -> active# X1) (active# U102 X -> active# X, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U102 X -> active# X, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U102 X -> active# X, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U102 X -> active# X, active# U203(X1, X2, X3, X4) -> active# X1) (active# U102 X -> active# X, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U102 X -> active# X, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U102 X -> active# X, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U102 X -> active# X, active# U201(X1, X2, X3, X4) -> active# X1) (active# U102 X -> active# X, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U102 X -> active# X, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U102 X -> active# X, active# isNatural head V1 -> U111# isLNat V1) (active# U102 X -> active# X, active# isNatural head V1 -> isLNat# V1) (active# U102 X -> active# X, active# isNatural s V1 -> isNatural# V1) (active# U102 X -> active# X, active# isNatural s V1 -> U121# isNatural V1) (active# U102 X -> active# X, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U102 X -> active# X, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U102 X -> active# X, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U102 X -> active# X, active# U202(X1, X2, X3, X4) -> active# X1) (active# U102 X -> active# X, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U102 X -> active# X, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U102 X -> active# X, active# U191(X1, X2) -> active# X1) (active# U102 X -> active# X, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U102 X -> active# X, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U102 X -> active# X, active# pair(X1, X2) -> active# X2) (active# U102 X -> active# X, active# pair(X1, X2) -> active# X1) (active# U102 X -> active# X, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U102 X -> active# X, active# U181(tt(), Y) -> isLNat# Y) (active# U102 X -> active# X, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U102 X -> active# X, active# U181(X1, X2) -> active# X1) (active# U102 X -> active# X, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U102 X -> active# X, active# U182(X1, X2) -> active# X1) (active# U102 X -> active# X, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U102 X -> active# X, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U102 X -> active# X, active# afterNth(X1, X2) -> active# X2) (active# U102 X -> active# X, active# afterNth(X1, X2) -> active# X1) (active# U102 X -> active# X, active# afterNth(N, XS) -> isNatural# N) (active# U102 X -> active# X, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U102 X -> active# X, active# head cons(N, XS) -> U31#(isNatural N, 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-> active# X, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# tail X -> active# X, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# tail X -> active# X, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# tail X -> active# X, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# tail X -> active# X, active# U91 X -> U91# active X) (active# tail X -> active# X, active# U91 X -> active# X) (active# tail X -> active# X, active# U81 X -> U81# active X) (active# tail X -> active# X, active# U81 X -> active# X) (active# tail X -> active# X, active# U71 X -> U71# active X) (active# tail X -> active# X, active# U71 X -> active# X) (active# tail X -> active# X, active# U61 X -> U61# active X) (active# tail X -> active# X, active# U61 X -> active# X) (active# tail X -> active# X, active# U51(tt(), V2) -> U52# isLNat V2) (active# tail X -> active# X, active# U51(tt(), V2) -> isLNat# V2) (active# tail X -> active# X, active# U51(X1, X2) -> U51#(active X1, X2)) (active# tail X -> active# X, active# U51(X1, X2) -> active# X1) (active# tail X -> active# X, active# U52 X -> U52# active X) (active# tail X -> active# X, active# U52 X -> active# X) (active# tail X -> active# X, active# U41(tt(), V2) -> U42# isLNat V2) (active# tail X -> active# X, active# U41(tt(), V2) -> isLNat# V2) (active# tail X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2)) (active# tail X -> active# X, active# U41(X1, X2) -> active# X1) (active# tail X -> active# X, active# U42 X -> U42# active X) (active# tail X -> active# X, active# U42 X -> active# X) (active# tail X -> active# X, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# tail X -> active# X, active# U31(tt(), N, XS) -> isLNat# XS) (active# tail X -> active# X, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# tail X -> active# X, active# U31(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U32(X1, X2) -> U32#(active X1, X2)) (active# tail X -> active# X, active# U32(X1, X2) -> active# X1) (active# tail X -> active# X, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# tail X -> active# X, active# fst pair(X, Y) -> isLNat# X) (active# tail X -> active# X, active# fst X -> fst# active X) (active# tail X -> active# X, active# fst X -> active# X) (active# tail X -> active# X, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# tail X -> active# X, active# U221(tt(), N, XS) -> isLNat# XS) (active# tail X -> active# X, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# tail X -> active# X, active# U221(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# tail X -> active# X, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# tail X -> active# X, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# tail X -> active# X, active# U222(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# tail X -> active# X, active# U211(tt(), XS) -> isLNat# XS) (active# tail X -> active# X, active# U211(X1, X2) -> U211#(active X1, X2)) (active# tail X -> active# X, active# U211(X1, X2) -> active# X1) (active# tail X -> active# X, active# U212(X1, X2) -> U212#(active X1, X2)) (active# tail X -> active# X, active# U212(X1, X2) -> active# X1) (active# tail X -> active# X, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# tail X -> active# X, active# U21(tt(), X, Y) -> isLNat# Y) (active# tail X -> active# X, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# tail X -> active# X, active# U21(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2)) (active# tail X -> active# X, active# U22(X1, X2) -> active# X1) (active# tail X -> active# X, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# tail X -> active# X, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# tail X -> active# X, active# U204(X1, X2) -> U204#(active X1, X2)) (active# tail X -> active# X, active# U204(X1, X2) -> active# X1) (active# tail X -> active# X, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# tail X -> active# X, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# tail X -> active# X, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# tail X -> active# X, active# U203(X1, X2, X3, X4) -> active# X1) (active# tail X -> active# X, active# U201(tt(), N, X, XS) -> isNatural# X) (active# tail X -> active# X, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# tail X -> active# X, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# tail X -> active# X, active# U201(X1, X2, X3, X4) -> active# X1) (active# tail X -> active# X, active# isNatural sel(V1, V2) -> isNatural# V1) (active# tail X -> active# X, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# tail X -> active# X, active# isNatural head V1 -> U111# isLNat V1) (active# tail X -> active# X, active# isNatural head V1 -> isLNat# V1) (active# tail X -> active# X, active# isNatural s V1 -> isNatural# V1) (active# tail X -> active# X, active# isNatural s V1 -> U121# isNatural V1) (active# tail X -> active# X, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# tail X -> active# X, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# tail X -> active# X, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# tail X -> active# X, active# U202(X1, X2, X3, X4) -> active# X1) (active# tail X -> active# X, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# tail X -> active# X, active# U191(X1, X2) -> U191#(active X1, X2)) (active# tail X -> active# X, active# U191(X1, X2) -> active# X1) (active# tail X -> active# X, active# pair(X1, X2) -> pair#(active X1, X2)) (active# tail X -> active# X, active# pair(X1, X2) -> pair#(X1, active X2)) (active# tail X -> active# X, active# pair(X1, X2) -> active# X2) (active# tail X -> active# X, active# pair(X1, X2) -> active# X1) (active# tail X -> active# X, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# tail X -> active# X, active# U181(tt(), Y) -> isLNat# Y) (active# tail X -> active# X, active# U181(X1, X2) -> U181#(active X1, X2)) (active# tail X -> active# X, active# U181(X1, X2) -> active# X1) (active# tail X -> active# X, active# U182(X1, X2) -> U182#(active X1, X2)) (active# tail X -> active# X, active# U182(X1, X2) -> active# X1) (active# tail X -> active# X, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# tail X -> active# X, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# tail X -> active# X, active# afterNth(X1, X2) -> active# X2) (active# tail X -> active# X, active# afterNth(X1, X2) -> active# X1) (active# tail X -> active# X, active# afterNth(N, XS) -> isNatural# N) (active# tail X -> active# X, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# tail X -> active# X, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# tail X -> active# X, active# head cons(N, XS) -> isNatural# N) (active# tail X -> active# X, active# head X -> head# active X) (active# tail X -> active# X, active# head X -> active# X) (active# tail X -> active# X, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# tail X -> active# X, active# U171(tt(), N, XS) -> isLNat# XS) (active# tail X -> active# X, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# tail X -> active# X, active# U171(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# tail X -> active# X, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# tail X -> active# X, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# tail X -> active# X, active# U172(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U161(tt(), N) -> s# N) (active# tail X -> active# X, active# U161(tt(), N) -> natsFrom# s N) (active# tail X -> active# X, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# tail X -> active# X, active# U161(X1, X2) -> U161#(active X1, X2)) (active# tail X -> active# X, active# U161(X1, X2) -> active# X1) (active# tail X -> active# X, active# s X -> s# active X) (active# tail X -> active# X, active# s X -> active# X) (active# tail X -> active# X, active# natsFrom X -> natsFrom# active X) (active# tail X -> active# X, active# natsFrom X -> active# X) (active# tail X -> active# X, active# natsFrom N -> isNatural# N) (active# tail X -> active# X, active# natsFrom N -> U161#(isNatural N, N)) (active# tail X -> active# X, active# cons(X1, X2) -> cons#(active X1, X2)) (active# tail X -> active# X, active# cons(X1, X2) -> active# X1) (active# tail X -> active# X, active# U151(tt(), V2) -> U152# isLNat V2) (active# tail X -> active# X, active# U151(tt(), V2) -> isLNat# V2) (active# tail X -> active# X, active# U151(X1, X2) -> U151#(active X1, X2)) (active# tail X -> active# X, active# U151(X1, X2) -> active# X1) (active# tail X -> active# X, active# U152 X -> U152# active X) (active# tail X -> active# X, active# U152 X -> active# X) (active# tail X -> active# X, active# U141(tt(), V2) -> U142# isLNat V2) (active# tail X -> active# X, active# U141(tt(), V2) -> isLNat# V2) (active# tail X -> active# X, active# U141(X1, X2) -> U141#(active X1, X2)) (active# tail X -> active# X, active# U141(X1, X2) -> active# X1) (active# tail X -> active# X, active# U142 X -> U142# active X) (active# tail X -> active# X, active# U142 X -> active# X) (active# tail X -> active# X, active# U131(tt(), V2) -> U132# isLNat V2) (active# tail X -> active# X, active# U131(tt(), V2) -> isLNat# V2) (active# tail X -> active# X, active# U131(X1, X2) -> U131#(active X1, X2)) (active# tail X -> active# X, active# U131(X1, X2) -> active# X1) (active# tail X -> active# X, active# U132 X -> U132# active X) (active# tail X -> active# X, active# U132 X -> active# X) (active# tail X -> active# X, active# U121 X -> U121# active X) (active# tail X -> active# X, active# U121 X -> active# X) (active# tail X -> active# X, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# tail X -> active# X, active# splitAt(0(), XS) -> isLNat# XS) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# tail X -> active# X, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# tail X -> active# X, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# tail X -> active# X, active# splitAt(X1, X2) -> active# X2) (active# tail X -> active# X, active# splitAt(X1, X2) -> active# X1) (active# tail X -> active# X, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# tail X -> active# X, active# snd pair(X, Y) -> isLNat# X) (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# U111 X -> U111# active X) (active# tail X -> active# X, active# U111 X -> active# X) (active# tail X -> active# X, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# tail X -> active# X, active# U11(tt(), N, XS) -> isLNat# XS) (active# tail X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# tail X -> active# X, active# U11(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# tail X -> active# X, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# tail X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# tail X -> active# X, active# U12(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U101(tt(), V2) -> isLNat# V2) (active# tail X -> active# X, active# U101(tt(), V2) -> U102# isLNat V2) (active# tail X -> active# X, active# U101(X1, X2) -> U101#(active X1, X2)) (active# tail X -> active# X, active# U101(X1, X2) -> active# X1) (active# tail X -> active# X, active# isLNat take(V1, V2) -> isNatural# V1) (active# tail X -> active# X, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# tail X -> active# X, active# isLNat tail V1 -> U91# isLNat V1) (active# tail X -> active# X, active# isLNat tail V1 -> isLNat# V1) (active# tail X -> active# X, active# isLNat fst V1 -> isPLNat# V1) (active# tail X -> active# X, active# isLNat fst V1 -> U61# isPLNat V1) (active# tail X -> active# X, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# tail X -> active# X, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# tail X -> active# X, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# tail X -> active# X, active# isLNat natsFrom V1 -> isNatural# V1) (active# tail X -> active# X, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# tail X -> active# X, active# isLNat cons(V1, V2) -> isNatural# V1) (active# tail X -> active# X, active# isLNat snd V1 -> isPLNat# V1) (active# tail X -> active# X, active# isLNat snd V1 -> U81# isPLNat V1) (active# tail X -> active# X, active# U102 X -> active# X) (active# tail X -> active# X, active# U102 X -> U102# active X) (U111# ok X -> U111# X, U111# ok X -> U111# X) (U111# ok X -> U111# X, U111# mark X -> U111# X) (snd# ok X -> snd# X, snd# ok X -> snd# X) (snd# ok X -> snd# X, snd# mark X -> snd# X) (U121# ok X -> U121# X, U121# ok X -> U121# X) (U121# ok X -> U121# X, U121# mark X -> U121# X) (U132# ok X -> U132# X, U132# ok X -> U132# X) (U132# ok X -> U132# X, U132# mark X -> U132# X) (U142# ok X -> U142# X, U142# ok X -> U142# X) (U142# ok X -> U142# X, U142# mark X -> U142# X) (U152# ok X -> U152# X, U152# ok X -> U152# X) (U152# ok X -> U152# X, U152# mark X -> U152# 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) (fst# mark X -> fst# X, fst# ok X -> fst# X) (fst# mark X -> fst# X, fst# mark X -> fst# X) (U42# mark X -> U42# X, U42# ok X -> U42# X) (U42# mark X -> U42# X, U42# mark X -> U42# X) (U52# mark X -> U52# X, U52# ok X -> U52# X) (U52# mark X -> U52# X, U52# mark X -> U52# X) (U61# mark X -> U61# X, U61# ok X -> U61# X) (U61# mark X -> U61# X, U61# mark X -> U61# X) (U71# mark X -> U71# X, U71# ok X -> U71# X) (U71# mark X -> U71# X, U71# mark X -> U71# X) (U81# mark X -> U81# X, U81# ok X -> U81# X) (U81# mark X -> U81# X, U81# mark X -> U81# X) (U91# mark X -> U91# X, U91# ok X -> U91# X) (U91# mark X -> U91# X, U91# mark X -> U91# X) (isPLNat# ok X -> isPLNat# X, isPLNat# ok X -> isPLNat# X) (tail# ok X -> tail# X, tail# ok X -> tail# X) (tail# ok X -> tail# X, tail# mark X -> tail# 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# U91 X -> proper# X) (proper# isLNat X -> proper# X, proper# U91 X -> U91# proper X) (proper# isLNat X -> proper# X, proper# U81 X -> proper# X) (proper# isLNat X -> proper# X, proper# U81 X -> U81# proper X) (proper# isLNat X -> proper# X, proper# U71 X -> proper# X) (proper# isLNat X -> proper# X, proper# U71 X -> U71# proper X) (proper# isLNat X -> proper# X, proper# U61 X -> proper# X) (proper# isLNat X -> proper# X, proper# U61 X -> U61# proper X) (proper# isLNat X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U52 X -> proper# X) (proper# isLNat X -> proper# X, proper# U52 X -> U52# 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# U42 X -> proper# X) (proper# isLNat X -> proper# X, proper# U42 X -> U42# proper X) (proper# isLNat X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U32(X1, X2) -> U32#(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# isLNat X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# isLNat X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# isLNat X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# isLNat X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# isLNat X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# isLNat X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# isLNat X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# isLNat X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# isLNat X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# isLNat X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (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# U202(X1, X2, X3, X4) -> proper# X4) (proper# isLNat X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# isLNat X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# isLNat X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# isLNat X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# isLNat X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U191(X1, X2) -> U191#(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# U181(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (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# U171(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U161(X1, X2) -> U161#(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# U151(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U152 X -> proper# X) (proper# isLNat X -> proper# X, proper# U152 X -> U152# proper X) (proper# isLNat X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U142 X -> proper# X) (proper# isLNat X -> proper# X, proper# U142 X -> U142# proper X) (proper# isLNat X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U132 X -> proper# X) (proper# isLNat X -> proper# X, proper# U132 X -> U132# proper X) (proper# isLNat X -> proper# X, proper# U121 X -> proper# X) (proper# isLNat X -> proper# X, proper# U121 X -> U121# proper X) (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# snd X -> proper# X) (proper# isLNat X -> proper# X, proper# snd X -> snd# proper X) (proper# isLNat X -> proper# X, proper# U111 X -> proper# X) (proper# isLNat X -> proper# X, proper# U111 X -> U111# proper X) (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# U12(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (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# U102 X -> proper# X) (proper# isLNat X -> proper# X, proper# U102 X -> U102# proper X) (proper# snd X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# tail X -> proper# X) (proper# snd X -> proper# X, proper# tail X -> tail# proper X) (proper# snd X -> proper# X, proper# isPLNat X -> proper# X) (proper# snd X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# snd X -> proper# X, proper# U91 X -> proper# X) (proper# snd X -> proper# X, proper# U91 X -> U91# proper X) (proper# snd X -> proper# X, proper# U81 X -> proper# X) (proper# snd X -> proper# X, proper# U81 X -> U81# proper X) (proper# snd X -> proper# X, proper# U71 X -> proper# X) (proper# snd X -> proper# X, proper# U71 X -> U71# proper X) (proper# snd X -> proper# X, proper# U61 X -> proper# X) (proper# snd X -> proper# X, proper# U61 X -> U61# proper X) (proper# snd X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U52 X -> proper# X) (proper# snd X -> proper# X, proper# U52 X -> U52# proper X) (proper# snd X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U42 X -> proper# X) (proper# snd X -> proper# X, proper# U42 X -> U42# proper X) (proper# snd X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# fst X -> proper# X) (proper# snd X -> proper# X, proper# fst X -> fst# proper X) (proper# snd X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# snd X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# snd X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# snd X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# snd X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# snd X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# snd X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# snd X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# snd X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# snd X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# snd X -> proper# X, proper# isNatural X -> proper# X) (proper# snd X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# snd X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# snd X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# snd X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# snd X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# snd X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# snd X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# head X -> proper# X) (proper# snd X -> proper# X, proper# head X -> head# proper X) (proper# snd X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# s X -> proper# X) (proper# snd X -> proper# X, proper# s X -> s# proper X) (proper# snd X -> proper# X, proper# natsFrom X -> proper# X) (proper# snd X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# snd X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U152 X -> proper# X) (proper# snd X -> proper# X, proper# U152 X -> U152# proper X) (proper# snd X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U142 X -> proper# X) (proper# snd X -> proper# X, proper# U142 X -> U142# proper X) (proper# snd X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U132 X -> proper# X) (proper# snd X -> proper# X, proper# U132 X -> U132# proper X) (proper# snd X -> proper# X, proper# U121 X -> proper# X) (proper# snd X -> proper# X, proper# U121 X -> U121# proper X) (proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# snd X -> proper# X) (proper# snd X -> proper# X, proper# snd X -> snd# proper X) (proper# snd X -> proper# X, proper# U111 X -> proper# X) (proper# snd X -> proper# X, proper# U111 X -> U111# proper X) (proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# isLNat X -> proper# X) (proper# snd X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# snd X -> proper# X, proper# U102 X -> proper# X) (proper# snd X -> proper# X, proper# U102 X -> U102# proper X) (proper# U132 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# tail X -> proper# X) (proper# U132 X -> proper# X, proper# tail X -> tail# proper X) (proper# U132 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U132 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U132 X -> proper# X, proper# U91 X -> proper# X) (proper# U132 X -> proper# X, proper# U91 X -> U91# proper X) (proper# U132 X -> proper# X, proper# U81 X -> proper# X) (proper# U132 X -> proper# X, proper# U81 X -> U81# proper X) (proper# U132 X -> proper# X, proper# U71 X -> proper# X) (proper# U132 X -> proper# X, proper# U71 X -> U71# proper X) (proper# U132 X -> proper# X, proper# U61 X -> proper# X) (proper# U132 X -> proper# X, proper# U61 X -> U61# proper X) (proper# U132 X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# U52 X -> proper# X) (proper# U132 X -> proper# X, proper# U52 X -> U52# proper X) (proper# U132 X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# U42 X -> proper# X) (proper# U132 X -> proper# X, proper# U42 X -> U42# proper X) (proper# U132 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# U132 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# U132 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# U132 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U132 X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# fst X -> proper# X) (proper# U132 X -> proper# X, proper# fst X -> fst# proper X) (proper# U132 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U132 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U132 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U132 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U132 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# U132 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# U132 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# U132 X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U132 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# U132 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# U132 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# U132 X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U132 X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U132 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U132 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U132 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U132 X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U132 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U132 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U132 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U132 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U132 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U132 X -> proper# X, proper# isNatural X -> proper# X) (proper# U132 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U132 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U132 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U132 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U132 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U132 X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U132 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# head X -> proper# X) (proper# U132 X -> proper# X, proper# head X -> head# proper X) (proper# U132 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U132 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U132 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U132 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U132 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# U132 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# U132 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# U132 X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U132 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# s X -> proper# X) (proper# U132 X -> proper# X, proper# s X -> s# proper X) (proper# U132 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U132 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U132 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# U152 X -> proper# X) (proper# U132 X -> proper# X, proper# U152 X -> U152# proper X) (proper# U132 X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# U142 X -> proper# X) (proper# U132 X -> proper# X, proper# U142 X -> U142# proper X) (proper# U132 X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# U132 X -> proper# X) (proper# U132 X -> proper# X, proper# U132 X -> U132# proper X) (proper# U132 X -> proper# X, proper# U121 X -> proper# X) (proper# U132 X -> proper# X, proper# U121 X -> U121# proper X) (proper# U132 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# snd X -> proper# X) (proper# U132 X -> proper# X, proper# snd X -> snd# proper X) (proper# U132 X -> proper# X, proper# U111 X -> proper# X) (proper# U132 X -> proper# X, proper# U111 X -> U111# proper X) (proper# U132 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U132 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U132 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U132 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U132 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# U132 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# U132 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# U132 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U132 X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# U132 X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# U132 X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U132 X -> proper# X, proper# isLNat X -> proper# X) (proper# U132 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U132 X -> proper# X, proper# U102 X -> proper# X) (proper# U132 X -> proper# X, proper# U102 X -> U102# proper X) (proper# U152 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# tail X -> proper# X) (proper# U152 X -> proper# X, proper# tail X -> tail# proper X) (proper# U152 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U152 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U152 X -> proper# X, proper# U91 X -> proper# X) (proper# U152 X -> proper# X, proper# U91 X -> U91# proper X) (proper# U152 X -> proper# X, proper# U81 X -> proper# X) (proper# U152 X -> proper# X, proper# U81 X -> U81# proper X) (proper# U152 X -> proper# X, proper# U71 X -> proper# X) (proper# U152 X -> proper# X, proper# U71 X -> U71# proper X) (proper# U152 X -> proper# X, proper# U61 X -> proper# X) (proper# U152 X -> proper# X, proper# U61 X -> U61# proper X) (proper# U152 X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# U52 X -> proper# X) (proper# U152 X -> proper# X, proper# U52 X -> U52# proper X) (proper# U152 X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# U42 X -> proper# X) (proper# U152 X -> proper# X, proper# U42 X -> U42# proper X) (proper# U152 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# U152 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# U152 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# U152 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U152 X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# fst X -> proper# X) (proper# U152 X -> proper# X, proper# fst X -> fst# proper X) (proper# U152 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U152 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U152 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U152 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U152 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# U152 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# U152 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# U152 X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U152 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# U152 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# U152 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# U152 X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U152 X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U152 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U152 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U152 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U152 X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U152 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U152 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U152 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U152 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U152 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U152 X -> proper# X, proper# isNatural X -> proper# X) (proper# U152 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U152 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U152 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U152 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U152 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U152 X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U152 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# head X -> proper# X) (proper# U152 X -> proper# X, proper# head X -> head# proper X) (proper# U152 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U152 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U152 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U152 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U152 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# U152 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# U152 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# U152 X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U152 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# s X -> proper# X) (proper# U152 X -> proper# X, proper# s X -> s# proper X) (proper# U152 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U152 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U152 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# U152 X -> proper# X) (proper# U152 X -> proper# X, proper# U152 X -> U152# proper X) (proper# U152 X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# U142 X -> proper# X) (proper# U152 X -> proper# X, proper# U142 X -> U142# proper X) (proper# U152 X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# U132 X -> proper# X) (proper# U152 X -> proper# X, proper# U132 X -> U132# proper X) (proper# U152 X -> proper# X, proper# U121 X -> proper# X) (proper# U152 X -> proper# X, proper# U121 X -> U121# proper X) (proper# U152 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# snd X -> proper# X) (proper# U152 X -> proper# X, proper# snd X -> snd# proper X) (proper# U152 X -> proper# X, proper# U111 X -> proper# X) (proper# U152 X -> proper# X, proper# U111 X -> U111# proper X) (proper# U152 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U152 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U152 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U152 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U152 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# U152 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# U152 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# U152 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U152 X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# U152 X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# U152 X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U152 X -> proper# X, proper# isLNat X -> proper# X) (proper# U152 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U152 X -> proper# X, proper# U102 X -> proper# X) (proper# U152 X -> proper# X, proper# U102 X -> U102# proper X) (proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# s X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# s X -> proper# X, proper# tail X -> proper# X) (proper# s X -> proper# X, proper# tail X -> tail# proper X) (proper# s X -> proper# X, proper# isPLNat X -> proper# X) (proper# s X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# s X -> proper# X, proper# U91 X -> proper# X) (proper# s X -> proper# X, proper# U91 X -> U91# proper X) (proper# s X -> proper# X, proper# U81 X -> proper# X) (proper# s X -> proper# X, proper# U81 X -> U81# proper X) (proper# s X -> proper# X, proper# U71 X -> proper# X) (proper# s X -> proper# X, proper# U71 X -> U71# proper X) (proper# s X -> proper# X, proper# U61 X -> proper# X) (proper# s X -> proper# X, proper# U61 X -> U61# proper X) (proper# s X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U52 X -> proper# X) (proper# s X -> proper# X, proper# U52 X -> U52# proper X) (proper# s X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U42 X -> proper# X) (proper# s X -> proper# X, proper# U42 X -> U42# proper X) (proper# s X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# s X -> proper# X, proper# fst X -> proper# X) (proper# s X -> proper# X, proper# fst X -> fst# proper X) (proper# s X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# s X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# s X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# s X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# s X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# s X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# s X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# s X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# s X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# s X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# s X -> proper# X, proper# isNatural X -> proper# X) (proper# s X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# s X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# s X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# s X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# s X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# s X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# s X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# s X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# s X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# s X -> proper# X, proper# head X -> proper# X) (proper# s X -> proper# X, proper# head X -> head# proper X) (proper# s X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# s X -> proper# X, proper# s X -> proper# X) (proper# s X -> proper# X, proper# s X -> s# proper X) (proper# s X -> proper# X, proper# natsFrom X -> proper# X) (proper# s X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# s X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U152 X -> proper# X) (proper# s X -> proper# X, proper# U152 X -> U152# proper X) (proper# s X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U142 X -> proper# X) (proper# s X -> proper# X, proper# U142 X -> U142# proper X) (proper# s X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U132 X -> proper# X) (proper# s X -> proper# X, proper# U132 X -> U132# proper X) (proper# s X -> proper# X, proper# U121 X -> proper# X) (proper# s X -> proper# X, proper# U121 X -> U121# proper X) (proper# s X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# s X -> proper# X, proper# snd X -> proper# X) (proper# s X -> proper# X, proper# snd X -> snd# proper X) (proper# s X -> proper# X, proper# U111 X -> proper# X) (proper# s X -> proper# X, proper# U111 X -> U111# proper X) (proper# s X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# s X -> proper# X, proper# isLNat X -> proper# X) (proper# s X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# s X -> proper# X, proper# U102 X -> proper# X) (proper# s X -> proper# X, proper# U102 X -> U102# proper X) (proper# isNatural X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# tail X -> proper# X) (proper# isNatural X -> proper# X, proper# tail X -> tail# proper X) (proper# isNatural X -> proper# X, proper# isPLNat X -> proper# X) (proper# isNatural X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# isNatural X -> proper# X, proper# U91 X -> proper# X) (proper# isNatural X -> proper# X, proper# U91 X -> U91# proper X) (proper# isNatural X -> proper# X, proper# U81 X -> proper# X) (proper# isNatural X -> proper# X, proper# U81 X -> U81# proper X) (proper# isNatural X -> proper# X, proper# U71 X -> proper# X) (proper# isNatural X -> proper# X, proper# U71 X -> U71# proper X) (proper# isNatural X -> proper# X, proper# U61 X -> proper# X) (proper# isNatural X -> proper# X, proper# U61 X -> U61# proper X) (proper# isNatural X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U52 X -> proper# X) (proper# isNatural X -> proper# X, proper# U52 X -> U52# proper X) (proper# isNatural X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U42 X -> proper# X) (proper# isNatural X -> proper# X, proper# U42 X -> U42# proper X) (proper# isNatural X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# fst X -> proper# X) (proper# isNatural X -> proper# X, proper# fst X -> fst# proper X) (proper# isNatural X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# isNatural X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# isNatural X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# isNatural X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# isNatural X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# isNatural X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# isNatural X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# isNatural X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# isNatural X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# isNatural X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# isNatural X -> proper# X, proper# isNatural X -> proper# X) (proper# isNatural X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# isNatural X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# isNatural X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# isNatural X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# isNatural X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# isNatural X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# isNatural X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# head X -> proper# X) (proper# isNatural X -> proper# X, proper# head X -> head# proper X) (proper# isNatural X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# s X -> proper# X) (proper# isNatural X -> proper# X, proper# s X -> s# proper X) (proper# isNatural X -> proper# X, proper# natsFrom X -> proper# X) (proper# isNatural X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# isNatural X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U152 X -> proper# X) (proper# isNatural X -> proper# X, proper# U152 X -> U152# proper X) (proper# isNatural X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U142 X -> proper# X) (proper# isNatural X -> proper# X, proper# U142 X -> U142# proper X) (proper# isNatural X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U132 X -> proper# X) (proper# isNatural X -> proper# X, proper# U132 X -> U132# proper X) (proper# isNatural X -> proper# X, proper# U121 X -> proper# X) (proper# isNatural X -> proper# X, proper# U121 X -> U121# proper X) (proper# isNatural X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# snd X -> proper# X) (proper# isNatural X -> proper# X, proper# snd X -> snd# proper X) (proper# isNatural X -> proper# X, proper# U111 X -> proper# X) (proper# isNatural X -> proper# X, proper# U111 X -> U111# proper X) (proper# isNatural X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# isLNat X -> proper# X) (proper# isNatural X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# isNatural X -> proper# X, proper# U102 X -> proper# X) (proper# isNatural X -> proper# X, proper# U102 X -> U102# proper X) (proper# U42 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# tail X -> proper# X) (proper# U42 X -> proper# X, proper# tail X -> tail# proper X) (proper# U42 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U42 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U42 X -> proper# X, proper# U91 X -> proper# X) (proper# U42 X -> proper# X, proper# U91 X -> U91# proper X) (proper# U42 X -> proper# X, proper# U81 X -> proper# X) (proper# U42 X -> proper# X, proper# U81 X -> U81# proper X) (proper# U42 X -> proper# X, proper# U71 X -> proper# X) (proper# U42 X -> proper# X, proper# U71 X -> U71# proper X) (proper# U42 X -> proper# X, proper# U61 X -> proper# X) (proper# U42 X -> proper# X, proper# U61 X -> U61# proper X) (proper# U42 X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# U52 X -> proper# X) (proper# U42 X -> proper# X, proper# U52 X -> U52# proper X) (proper# U42 X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# U42 X -> proper# X) (proper# U42 X -> proper# X, proper# U42 X -> U42# proper X) (proper# U42 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# U42 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# U42 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# U42 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U42 X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# fst X -> proper# X) (proper# U42 X -> proper# X, proper# fst X -> fst# proper X) (proper# U42 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U42 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U42 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U42 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U42 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# U42 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# U42 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# U42 X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U42 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# U42 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# U42 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# U42 X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U42 X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U42 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U42 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U42 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U42 X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U42 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U42 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U42 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U42 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U42 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U42 X -> proper# X, proper# isNatural X -> proper# X) (proper# U42 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U42 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U42 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U42 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U42 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U42 X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U42 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# head X -> proper# X) (proper# U42 X -> proper# X, proper# head X -> head# proper X) (proper# U42 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U42 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U42 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U42 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U42 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# U42 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# U42 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# U42 X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U42 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# s X -> proper# X) (proper# U42 X -> proper# X, proper# s X -> s# proper X) (proper# U42 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U42 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U42 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# U152 X -> proper# X) (proper# U42 X -> proper# X, proper# U152 X -> U152# proper X) (proper# U42 X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# U142 X -> proper# X) (proper# U42 X -> proper# X, proper# U142 X -> U142# proper X) (proper# U42 X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# U132 X -> proper# X) (proper# U42 X -> proper# X, proper# U132 X -> U132# proper X) (proper# U42 X -> proper# X, proper# U121 X -> proper# X) (proper# U42 X -> proper# X, proper# U121 X -> U121# proper X) (proper# U42 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# snd X -> proper# X) (proper# U42 X -> proper# X, proper# snd X -> snd# proper X) (proper# U42 X -> proper# X, proper# U111 X -> proper# X) (proper# U42 X -> proper# X, proper# U111 X -> U111# proper X) (proper# U42 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U42 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U42 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U42 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U42 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# U42 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# U42 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# U42 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U42 X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# U42 X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# U42 X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U42 X -> proper# X, proper# isLNat X -> proper# X) (proper# U42 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U42 X -> proper# X, proper# U102 X -> proper# X) (proper# U42 X -> proper# X, proper# U102 X -> U102# proper X) (proper# U61 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# tail X -> proper# X) (proper# U61 X -> proper# X, proper# tail X -> tail# proper X) (proper# U61 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U61 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U61 X -> proper# X, proper# U91 X -> proper# X) (proper# U61 X -> proper# X, proper# U91 X -> U91# proper X) (proper# U61 X -> proper# X, proper# U81 X -> proper# X) (proper# U61 X -> proper# X, proper# U81 X -> U81# proper X) (proper# U61 X -> proper# X, proper# U71 X -> proper# X) (proper# U61 X -> proper# X, proper# U71 X -> U71# proper X) (proper# U61 X -> proper# X, proper# U61 X -> proper# X) (proper# U61 X -> proper# X, proper# U61 X -> U61# proper X) (proper# U61 X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# U52 X -> proper# X) (proper# U61 X -> proper# X, proper# U52 X -> U52# proper X) (proper# U61 X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# U42 X -> proper# X) (proper# U61 X -> proper# X, proper# U42 X -> U42# proper X) (proper# U61 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# U61 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# U61 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# U61 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U61 X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# fst X -> proper# X) (proper# U61 X -> proper# X, proper# fst X -> fst# proper X) (proper# U61 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U61 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U61 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U61 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U61 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# U61 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# U61 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# U61 X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U61 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# U61 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# U61 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# U61 X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U61 X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U61 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U61 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U61 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U61 X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U61 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U61 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U61 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U61 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U61 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U61 X -> proper# X, proper# isNatural X -> proper# X) (proper# U61 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U61 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U61 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U61 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U61 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U61 X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U61 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# head X -> proper# X) (proper# U61 X -> proper# X, proper# head X -> head# proper X) (proper# U61 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U61 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U61 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U61 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U61 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# U61 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# U61 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# U61 X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U61 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# s X -> proper# X) (proper# U61 X -> proper# X, proper# s X -> s# proper X) (proper# U61 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U61 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U61 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# U152 X -> proper# X) (proper# U61 X -> proper# X, proper# U152 X -> U152# proper X) (proper# U61 X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# U142 X -> proper# X) (proper# U61 X -> proper# X, proper# U142 X -> U142# proper X) (proper# U61 X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# U132 X -> proper# X) (proper# U61 X -> proper# X, proper# U132 X -> U132# proper X) (proper# U61 X -> proper# X, proper# U121 X -> proper# X) (proper# U61 X -> proper# X, proper# U121 X -> U121# proper X) (proper# U61 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# snd X -> proper# X) (proper# U61 X -> proper# X, proper# snd X -> snd# proper X) (proper# U61 X -> proper# X, proper# U111 X -> proper# X) (proper# U61 X -> proper# X, proper# U111 X -> U111# proper X) (proper# U61 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U61 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U61 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U61 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U61 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# U61 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# U61 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# U61 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U61 X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# U61 X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# U61 X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U61 X -> proper# X, proper# isLNat X -> proper# X) (proper# U61 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U61 X -> proper# X, proper# U102 X -> proper# X) (proper# U61 X -> proper# X, proper# U102 X -> U102# proper X) (proper# U81 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# tail X -> proper# X) (proper# U81 X -> proper# X, proper# tail X -> tail# proper X) (proper# U81 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U81 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U81 X -> proper# X, proper# U91 X -> proper# X) (proper# U81 X -> proper# X, proper# U91 X -> U91# proper X) (proper# U81 X -> proper# X, proper# U81 X -> proper# X) (proper# U81 X -> proper# X, proper# U81 X -> U81# proper X) (proper# U81 X -> proper# X, proper# U71 X -> proper# X) (proper# U81 X -> proper# X, proper# U71 X -> U71# proper X) (proper# U81 X -> proper# X, proper# U61 X -> proper# X) (proper# U81 X -> proper# X, proper# U61 X -> U61# proper X) (proper# U81 X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# U52 X -> proper# X) (proper# U81 X -> proper# X, proper# U52 X -> U52# proper X) (proper# U81 X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# U42 X -> proper# X) (proper# U81 X -> proper# X, proper# U42 X -> U42# proper X) (proper# U81 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# U81 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# U81 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# U81 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U81 X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# fst X -> proper# X) (proper# U81 X -> proper# X, proper# fst X -> fst# proper X) (proper# U81 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U81 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U81 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U81 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U81 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# U81 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# U81 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# U81 X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U81 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# U81 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# U81 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# U81 X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U81 X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U81 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U81 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U81 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U81 X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U81 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U81 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U81 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U81 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U81 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U81 X -> proper# X, proper# isNatural X -> proper# X) (proper# U81 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U81 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U81 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U81 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U81 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U81 X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U81 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# head X -> proper# X) (proper# U81 X -> proper# X, proper# head X -> head# proper X) (proper# U81 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U81 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U81 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U81 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U81 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# U81 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# U81 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# U81 X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U81 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# s X -> proper# X) (proper# U81 X -> proper# X, proper# s X -> s# proper X) (proper# U81 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U81 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U81 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# U152 X -> proper# X) (proper# U81 X -> proper# X, proper# U152 X -> U152# proper X) (proper# U81 X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# U142 X -> proper# X) (proper# U81 X -> proper# X, proper# U142 X -> U142# proper X) (proper# U81 X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# U132 X -> proper# X) (proper# U81 X -> proper# X, proper# U132 X -> U132# proper X) (proper# U81 X -> proper# X, proper# U121 X -> proper# X) (proper# U81 X -> proper# X, proper# U121 X -> U121# proper X) (proper# U81 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# snd X -> proper# X) (proper# U81 X -> proper# X, proper# snd X -> snd# proper X) (proper# U81 X -> proper# X, proper# U111 X -> proper# X) (proper# U81 X -> proper# X, proper# U111 X -> U111# proper X) (proper# U81 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U81 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U81 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U81 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U81 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# U81 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# U81 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# U81 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U81 X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# U81 X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# U81 X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U81 X -> proper# X, proper# isLNat X -> proper# X) (proper# U81 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U81 X -> proper# X, proper# U102 X -> proper# X) (proper# U81 X -> proper# X, proper# U102 X -> U102# proper X) (proper# isPLNat X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# tail X -> proper# X) (proper# isPLNat X -> proper# X, proper# tail X -> tail# proper X) (proper# isPLNat X -> proper# X, proper# isPLNat X -> proper# X) (proper# isPLNat X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# isPLNat X -> proper# X, proper# U91 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U91 X -> U91# proper X) (proper# isPLNat X -> proper# X, proper# U81 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U81 X -> U81# proper X) (proper# isPLNat X -> proper# X, proper# U71 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U71 X -> U71# proper X) (proper# isPLNat X -> proper# X, proper# U61 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U61 X -> U61# proper X) (proper# isPLNat X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U52 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U52 X -> U52# proper X) (proper# isPLNat X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U42 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U42 X -> U42# proper X) (proper# isPLNat X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# fst X -> proper# X) (proper# isPLNat X -> proper# X, proper# fst X -> fst# proper X) (proper# isPLNat X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# isPLNat X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# isPLNat X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# isPLNat X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# isPLNat X -> proper# X, proper# isNatural X -> proper# X) (proper# isPLNat X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# isPLNat X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# isPLNat X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# isPLNat X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# head X -> proper# X) (proper# isPLNat X -> proper# X, proper# head X -> head# proper X) (proper# isPLNat X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# s X -> proper# X) (proper# isPLNat X -> proper# X, proper# s X -> s# proper X) (proper# isPLNat X -> proper# X, proper# natsFrom X -> proper# X) (proper# isPLNat X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# isPLNat X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U152 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U152 X -> U152# proper X) (proper# isPLNat X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U142 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U142 X -> U142# proper X) (proper# isPLNat X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U132 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U132 X -> U132# proper X) (proper# isPLNat X -> proper# X, proper# U121 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U121 X -> U121# proper X) (proper# isPLNat X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# snd X -> proper# X) (proper# isPLNat X -> proper# X, proper# snd X -> snd# proper X) (proper# isPLNat X -> proper# X, proper# U111 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U111 X -> U111# proper X) (proper# isPLNat X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# isLNat X -> proper# X) (proper# isPLNat X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# isPLNat X -> proper# X, proper# U102 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U102 X -> U102# proper X) (top# mark X -> proper# X, proper# sel(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# sel(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (top# mark X -> proper# X, proper# take(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# take(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (top# mark X -> proper# X, proper# tail X -> proper# X) (top# mark X -> proper# X, proper# tail X -> tail# proper X) (top# mark X -> proper# X, proper# isPLNat X -> proper# X) (top# mark X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (top# mark X -> proper# X, proper# U91 X -> proper# X) (top# mark X -> proper# X, proper# U91 X -> U91# proper X) (top# mark X -> proper# X, proper# U81 X -> proper# X) (top# mark X -> proper# X, proper# U81 X -> U81# proper X) (top# mark X -> proper# X, proper# U71 X -> proper# X) (top# mark X -> proper# X, proper# U71 X -> U71# proper X) (top# mark X -> proper# X, proper# U61 X -> proper# X) (top# mark X -> proper# X, proper# U61 X -> U61# proper X) (top# mark X -> proper# X, proper# U51(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U51(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U52 X -> proper# X) (top# mark X -> proper# X, proper# U52 X -> U52# proper X) (top# mark X -> proper# X, proper# U41(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U41(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U42 X -> proper# X) (top# mark X -> proper# X, proper# U42 X -> U42# proper X) (top# mark X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U32(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U32(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (top# mark X -> proper# X, proper# fst X -> proper# X) (top# mark X -> proper# X, proper# fst X -> fst# proper X) (top# mark X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U211(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U211(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U212(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U212(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U22(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U22(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U204(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U204(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (top# mark X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (top# mark X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (top# mark X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (top# mark X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (top# mark X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (top# mark X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (top# mark X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (top# mark X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (top# mark X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (top# mark X -> proper# X, proper# isNatural X -> proper# X) (top# mark X -> proper# X, proper# isNatural X -> isNatural# proper X) (top# mark X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (top# mark X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (top# mark X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (top# mark X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (top# mark X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (top# mark X -> proper# X, proper# U191(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U191(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (top# mark X -> proper# X, proper# pair(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# pair(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U181(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U181(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U182(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U182(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (top# mark X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (top# mark X -> proper# X, proper# head X -> proper# X) (top# mark X -> proper# X, proper# head X -> head# proper X) (top# mark X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U161(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U161(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (top# mark X -> proper# X, proper# s X -> proper# X) (top# mark X -> proper# X, proper# s X -> s# proper X) (top# mark X -> proper# X, proper# natsFrom X -> proper# X) (top# mark X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (top# mark X -> proper# X, proper# cons(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# cons(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U151(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U151(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U152 X -> proper# X) (top# mark X -> proper# X, proper# U152 X -> U152# proper X) (top# mark X -> proper# X, proper# U141(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U141(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U142 X -> proper# X) (top# mark X -> proper# X, proper# U142 X -> U142# proper X) (top# mark X -> proper# X, proper# U131(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U131(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U132 X -> proper# X) (top# mark X -> proper# X, proper# U132 X -> U132# proper X) (top# mark X -> proper# X, proper# U121 X -> proper# X) (top# mark X -> proper# X, proper# U121 X -> U121# proper X) (top# mark X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (top# mark X -> proper# X, proper# snd X -> proper# X) (top# mark X -> proper# X, proper# snd X -> snd# proper X) (top# mark X -> proper# X, proper# U111 X -> proper# X) (top# mark X -> proper# X, proper# U111 X -> U111# proper X) (top# mark X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U101(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U101(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (top# mark X -> proper# X, proper# isLNat X -> proper# X) (top# mark X -> proper# X, proper# isLNat X -> isLNat# proper X) (top# mark X -> proper# X, proper# U102 X -> proper# X) (top# mark X -> proper# X, proper# U102 X -> U102# proper X) (active# U181(tt(), Y) -> isLNat# Y, isLNat# ok X -> isLNat# X) (active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2), U51#(ok X1, ok X2) -> U51#(X1, X2)) (active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2), U51#(mark X1, X2) -> U51#(X1, X2)) (active# isLNat take(V1, V2) -> U101#(isNatural V1, V2), U101#(ok X1, ok X2) -> U101#(X1, X2)) (active# isLNat take(V1, V2) -> U101#(isNatural V1, V2), U101#(mark X1, X2) -> U101#(X1, X2)) (active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2), U151#(ok X1, ok X2) -> U151#(X1, X2)) (active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2), U151#(mark X1, X2) -> U151#(X1, X2)) (active# isLNat snd V1 -> U81# isPLNat V1, U81# ok X -> U81# X) (active# isLNat snd V1 -> U81# isPLNat V1, U81# mark X -> U81# X) (active# isLNat fst V1 -> U61# isPLNat V1, U61# ok X -> U61# X) (active# isLNat fst V1 -> U61# isPLNat V1, U61# mark X -> U61# X) (active# isNatural s V1 -> U121# isNatural V1, U121# ok X -> U121# X) (active# isNatural s V1 -> U121# isNatural V1, U121# mark X -> U121# X) (active# U102 X -> U102# active X, U102# ok X -> U102# X) (active# U102 X -> U102# active X, U102# mark X -> U102# X) (active# snd X -> snd# active X, snd# ok X -> snd# X) (active# snd X -> snd# active X, snd# mark X -> snd# X) (active# U132 X -> U132# active X, U132# ok X -> U132# X) (active# U132 X -> U132# active X, U132# mark X -> U132# X) (active# U152 X -> U152# active X, U152# ok X -> U152# X) (active# U152 X -> U152# active X, U152# mark X -> U152# X) (active# s X -> s# active X, s# ok X -> s# X) (active# s X -> s# active X, s# mark X -> s# X) (active# fst X -> fst# active X, fst# ok X -> fst# X) (active# fst X -> fst# active X, fst# mark X -> fst# X) (active# U52 X -> U52# active X, U52# ok X -> U52# X) (active# U52 X -> U52# active X, U52# mark X -> U52# X) (active# U71 X -> U71# active X, U71# ok X -> U71# X) (active# U71 X -> U71# active X, U71# mark X -> U71# X) (active# U91 X -> U91# active X, U91# ok X -> U91# X) (active# U91 X -> U91# active X, U91# mark X -> U91# X) (proper# U102 X -> U102# proper X, U102# ok X -> U102# X) (proper# U102 X -> U102# proper X, U102# mark X -> U102# X) (proper# U111 X -> U111# proper X, U111# ok X -> U111# X) (proper# U111 X -> U111# proper X, U111# mark X -> U111# X) (proper# U121 X -> U121# proper X, U121# ok X -> U121# X) (proper# U121 X -> U121# proper X, U121# mark X -> U121# X) (proper# U142 X -> U142# proper X, U142# ok X -> U142# X) (proper# U142 X -> U142# proper X, U142# mark X -> U142# 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# fst X -> fst# proper X, fst# ok X -> fst# X) (proper# fst X -> fst# proper X, fst# mark X -> fst# X) (proper# U52 X -> U52# proper X, U52# ok X -> U52# X) (proper# U52 X -> U52# proper X, U52# mark X -> U52# X) (proper# U71 X -> U71# proper X, U71# ok X -> U71# X) (proper# U71 X -> U71# proper X, U71# mark X -> U71# X) (proper# U91 X -> U91# proper X, U91# ok X -> U91# X) (proper# U91 X -> U91# proper X, U91# mark X -> U91# 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# U101(tt(), V2) -> U102# isLNat V2, U102# ok X -> U102# X) (active# U101(tt(), V2) -> U102# isLNat V2, U102# mark X -> U102# X) (active# U141(tt(), V2) -> U142# isLNat V2, U142# ok X -> U142# X) (active# U141(tt(), V2) -> U142# isLNat V2, U142# mark X -> U142# X) (active# U41(tt(), V2) -> U42# isLNat V2, U42# ok X -> U42# X) (active# U41(tt(), V2) -> U42# isLNat V2, U42# mark X -> U42# X) (active# splitAt(s N, cons(X, XS)) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# U161(tt(), N) -> s# N, s# ok X -> s# X) (active# U161(tt(), N) -> s# N, s# mark X -> s# X) (active# afterNth(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# take(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# U204(pair(YS, ZS), X) -> cons#(X, YS), cons#(ok X1, ok X2) -> cons#(X1, X2)) (active# U204(pair(YS, ZS), X) -> cons#(X, YS), cons#(mark X1, X2) -> cons#(X1, X2)) (active# splitAt(0(), XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# U202(tt(), N, X, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# U221(tt(), N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# U101(tt(), V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# U141(tt(), V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# U41(tt(), V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# U12(tt(), N, XS) -> snd# splitAt(N, XS), snd# ok X -> snd# X) (active# U12(tt(), N, XS) -> snd# splitAt(N, XS), snd# mark X -> snd# X) (active# U222(tt(), N, XS) -> fst# splitAt(N, XS), fst# ok X -> fst# X) (active# U222(tt(), N, XS) -> fst# splitAt(N, XS), fst# mark X -> fst# 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)) (active# U171(X1, X2, X3) -> U171#(active X1, X2, X3), U171#(ok X1, ok X2, ok X3) -> U171#(X1, X2, X3)) (active# U171(X1, X2, X3) -> U171#(active X1, X2, X3), U171#(mark X1, X2, X3) -> U171#(X1, X2, X3)) (active# U222(X1, X2, X3) -> U222#(active X1, X2, X3), U222#(ok X1, ok X2, ok X3) -> U222#(X1, X2, X3)) (active# U222(X1, X2, X3) -> U222#(active X1, X2, X3), U222#(mark X1, X2, X3) -> U222#(X1, X2, X3)) (active# U31(X1, X2, X3) -> U31#(active X1, X2, X3), U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3)) (active# U31(X1, X2, X3) -> U31#(active X1, X2, X3), U31#(mark X1, X2, X3) -> U31#(X1, X2, X3)) (U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)) (U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)) (U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (U172#(ok X1, ok X2, ok X3) -> U172#(X1, X2, X3), U172#(ok X1, ok X2, ok X3) -> U172#(X1, X2, X3)) (U172#(ok X1, ok X2, ok X3) -> U172#(X1, X2, X3), U172#(mark X1, X2, X3) -> U172#(X1, X2, X3)) (U171#(ok X1, ok X2, ok X3) -> U171#(X1, X2, X3), U171#(ok X1, ok X2, ok X3) -> U171#(X1, X2, X3)) (U171#(ok X1, ok X2, ok X3) -> U171#(X1, X2, X3), U171#(mark X1, X2, X3) -> U171#(X1, X2, X3)) (U21#(ok X1, ok X2, ok X3) -> U21#(X1, X2, X3), U21#(ok X1, ok X2, ok X3) -> U21#(X1, X2, X3)) (U21#(ok X1, ok X2, ok X3) -> U21#(X1, X2, X3), U21#(mark X1, X2, X3) -> U21#(X1, X2, X3)) (U222#(ok X1, ok X2, ok X3) -> U222#(X1, X2, X3), U222#(ok X1, ok X2, ok X3) -> U222#(X1, X2, X3)) (U222#(ok X1, ok X2, ok X3) -> U222#(X1, X2, X3), U222#(mark X1, X2, X3) -> U222#(X1, X2, X3)) (U221#(ok X1, ok X2, ok X3) -> U221#(X1, X2, X3), U221#(ok X1, ok X2, ok X3) -> U221#(X1, X2, X3)) (U221#(ok X1, ok X2, ok X3) -> U221#(X1, X2, X3), U221#(mark X1, X2, X3) -> U221#(X1, X2, X3)) (U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3), U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3)) (U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3), U31#(mark X1, X2, X3) -> U31#(X1, X2, X3)) (active# U31(tt(), N, XS) -> U32#(isLNat XS, N), U32#(ok X1, ok X2) -> U32#(X1, X2)) (active# U31(tt(), N, XS) -> U32#(isLNat XS, N), U32#(mark X1, X2) -> U32#(X1, X2)) (active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)) (active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)) (active# head cons(N, XS) -> U31#(isNatural N, N, XS), U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3)) (active# head cons(N, XS) -> U31#(isNatural N, N, XS), U31#(mark X1, X2, X3) -> U31#(X1, X2, X3)) (active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS), U222#(ok X1, ok X2, ok X3) -> U222#(X1, X2, X3)) (active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS), U222#(mark X1, X2, X3) -> U222#(X1, X2, X3)) (active# sel(N, XS) -> U171#(isNatural N, N, XS), U171#(ok X1, ok X2, ok X3) -> U171#(X1, X2, X3)) (active# sel(N, XS) -> U171#(isNatural N, N, XS), U171#(mark X1, X2, X3) -> U171#(X1, X2, X3)) (active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4), U202#(ok X1, ok X2, ok X3, ok X4) -> U202#(X1, X2, X3, X4)) (active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4), U202#(mark X1, X2, X3, X4) -> U202#(X1, X2, X3, X4)) (active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4), U203#(ok X1, ok X2, ok X3, ok X4) -> U203#(X1, X2, X3, X4)) (active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4), U203#(mark X1, X2, X3, X4) -> U203#(X1, X2, X3, X4)) (U202#(ok X1, ok X2, ok X3, ok X4) -> U202#(X1, X2, X3, X4), U202#(ok X1, ok X2, ok X3, ok X4) -> U202#(X1, X2, X3, X4)) (U202#(ok X1, ok X2, ok X3, ok X4) -> U202#(X1, X2, X3, X4), U202#(mark X1, X2, X3, X4) -> U202#(X1, X2, X3, X4)) (U201#(ok X1, ok X2, ok X3, ok X4) -> U201#(X1, X2, X3, X4), U201#(ok X1, ok X2, ok X3, ok X4) -> U201#(X1, X2, X3, X4)) (U201#(ok X1, ok X2, ok X3, ok X4) -> U201#(X1, X2, X3, X4), U201#(mark X1, X2, X3, X4) -> U201#(X1, X2, X3, X4)) (U203#(ok X1, ok X2, ok X3, ok X4) -> U203#(X1, X2, X3, X4), U203#(ok X1, ok X2, ok X3, ok X4) -> U203#(X1, X2, X3, X4)) (U203#(ok X1, ok X2, ok X3, ok X4) -> U203#(X1, X2, X3, X4), U203#(mark X1, X2, X3, X4) -> U203#(X1, X2, X3, X4)) (proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4), U201#(ok X1, ok X2, ok X3, ok X4) -> U201#(X1, X2, X3, X4)) (proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4), U201#(mark X1, X2, X3, X4) -> U201#(X1, X2, X3, X4)) (active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS), U201#(ok X1, ok X2, ok X3, ok X4) -> U201#(X1, X2, X3, X4)) (active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS), U201#(mark X1, X2, X3, X4) -> U201#(X1, X2, X3, X4)) (active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS), U202#(ok X1, ok X2, ok X3, ok X4) -> U202#(X1, X2, X3, X4)) (active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS), U202#(mark X1, X2, X3, X4) -> U202#(X1, X2, X3, X4)) (active# U21(tt(), X, Y) -> U22#(isLNat Y, X), U22#(ok X1, ok X2) -> U22#(X1, X2)) (active# U21(tt(), X, Y) -> U22#(isLNat Y, X), U22#(mark X1, X2) -> U22#(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# U141(X1, X2) -> U141#(active X1, X2), U141#(ok X1, ok X2) -> U141#(X1, X2)) (active# U141(X1, X2) -> U141#(active X1, X2), U141#(mark X1, X2) -> U141#(X1, X2)) (active# cons(X1, X2) -> cons#(active X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)) (active# cons(X1, X2) -> cons#(active X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(active X1, X2), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(active X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(active X1, X2), afterNth#(X1, mark X2) -> afterNth#(X1, X2)) (active# U181(X1, X2) -> U181#(active X1, X2), U181#(ok X1, ok X2) -> U181#(X1, X2)) (active# U181(X1, X2) -> U181#(active X1, X2), U181#(mark X1, X2) -> U181#(X1, X2)) (active# U191(X1, X2) -> U191#(active X1, X2), U191#(ok X1, ok X2) -> U191#(X1, X2)) (active# U191(X1, X2) -> U191#(active X1, X2), U191#(mark X1, X2) -> U191#(X1, X2)) (active# U22(X1, X2) -> U22#(active X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2)) (active# U22(X1, X2) -> U22#(active X1, X2), U22#(mark X1, X2) -> U22#(X1, X2)) (active# U211(X1, X2) -> U211#(active X1, X2), U211#(ok X1, ok X2) -> U211#(X1, X2)) (active# U211(X1, X2) -> U211#(active X1, X2), U211#(mark X1, X2) -> U211#(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# 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)) (U101#(mark X1, X2) -> U101#(X1, X2), U101#(ok X1, ok X2) -> U101#(X1, X2)) (U101#(mark X1, X2) -> U101#(X1, X2), U101#(mark X1, X2) -> U101#(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)) (U131#(ok X1, ok X2) -> U131#(X1, X2), U131#(ok X1, ok X2) -> U131#(X1, X2)) (U131#(ok X1, ok X2) -> U131#(X1, X2), U131#(mark X1, X2) -> U131#(X1, X2)) (U141#(ok X1, ok X2) -> U141#(X1, X2), U141#(ok X1, ok X2) -> U141#(X1, X2)) (U141#(ok X1, ok X2) -> U141#(X1, X2), U141#(mark X1, X2) -> U141#(X1, X2)) (U151#(ok X1, ok X2) -> U151#(X1, X2), U151#(ok X1, ok X2) -> U151#(X1, X2)) (U151#(ok X1, ok X2) -> U151#(X1, X2), U151#(mark X1, X2) -> U151#(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)) (U161#(ok X1, ok X2) -> U161#(X1, X2), U161#(ok X1, ok X2) -> U161#(X1, X2)) (U161#(ok X1, ok X2) -> U161#(X1, X2), U161#(mark X1, X2) -> U161#(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)) (U182#(mark X1, X2) -> U182#(X1, X2), U182#(ok X1, ok X2) -> U182#(X1, X2)) (U182#(mark X1, X2) -> U182#(X1, X2), U182#(mark X1, X2) -> U182#(X1, X2)) (U181#(mark X1, X2) -> U181#(X1, X2), U181#(ok X1, ok X2) -> U181#(X1, X2)) (U181#(mark X1, X2) -> U181#(X1, X2), U181#(mark X1, X2) -> U181#(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)) (U191#(ok X1, ok X2) -> U191#(X1, X2), U191#(ok X1, ok X2) -> U191#(X1, X2)) (U191#(ok X1, ok X2) -> U191#(X1, X2), U191#(mark X1, X2) -> U191#(X1, X2)) (U204#(ok X1, ok X2) -> U204#(X1, X2), U204#(ok X1, ok X2) -> U204#(X1, X2)) (U204#(ok X1, ok X2) -> U204#(X1, X2), U204#(mark X1, X2) -> U204#(X1, X2)) (U22#(ok X1, ok X2) -> U22#(X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2)) (U22#(ok X1, ok X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2)) (U212#(ok X1, ok X2) -> U212#(X1, X2), U212#(ok X1, ok X2) -> U212#(X1, X2)) (U212#(ok X1, ok X2) -> U212#(X1, X2), U212#(mark X1, X2) -> U212#(X1, X2)) (U211#(ok X1, ok X2) -> U211#(X1, X2), U211#(ok X1, ok X2) -> U211#(X1, X2)) (U211#(ok X1, ok X2) -> U211#(X1, X2), U211#(mark X1, X2) -> U211#(X1, X2)) (U32#(ok X1, ok X2) -> U32#(X1, X2), U32#(ok X1, ok X2) -> U32#(X1, X2)) (U32#(ok X1, ok X2) -> U32#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2)) (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)) (U51#(ok X1, ok X2) -> U51#(X1, X2), U51#(ok X1, ok X2) -> U51#(X1, X2)) (U51#(ok X1, ok X2) -> U51#(X1, X2), U51#(mark X1, X2) -> U51#(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# 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# take(X1, X2) -> take#(X1, active X2), take#(ok X1, ok X2) -> take#(X1, X2)) (active# take(X1, X2) -> take#(X1, active X2), take#(mark X1, X2) -> take#(X1, X2)) (active# take(X1, X2) -> take#(X1, active X2), take#(X1, mark X2) -> take#(X1, X2)) (proper# U101(X1, X2) -> U101#(proper X1, proper X2), U101#(ok X1, ok X2) -> U101#(X1, X2)) (proper# U101(X1, X2) -> U101#(proper X1, proper X2), U101#(mark X1, X2) -> U101#(X1, X2)) (proper# U131(X1, X2) -> U131#(proper X1, proper X2), U131#(ok X1, ok X2) -> U131#(X1, X2)) (proper# U131(X1, X2) -> U131#(proper X1, proper X2), U131#(mark X1, X2) -> U131#(X1, X2)) (proper# U151(X1, X2) -> U151#(proper X1, proper X2), U151#(ok X1, ok X2) -> U151#(X1, X2)) (proper# U151(X1, X2) -> U151#(proper X1, proper X2), U151#(mark X1, X2) -> U151#(X1, X2)) (proper# U161(X1, X2) -> U161#(proper X1, proper X2), U161#(ok X1, ok X2) -> U161#(X1, X2)) (proper# U161(X1, X2) -> U161#(proper X1, proper X2), U161#(mark X1, X2) -> U161#(X1, X2)) (proper# U182(X1, X2) -> U182#(proper X1, proper X2), U182#(ok X1, ok X2) -> U182#(X1, X2)) (proper# U182(X1, X2) -> U182#(proper X1, proper X2), U182#(mark X1, X2) -> U182#(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# U204(X1, X2) -> U204#(proper X1, proper X2), U204#(ok X1, ok X2) -> U204#(X1, X2)) (proper# U204(X1, X2) -> U204#(proper X1, proper X2), U204#(mark X1, X2) -> U204#(X1, X2)) (proper# U212(X1, X2) -> U212#(proper X1, proper X2), U212#(ok X1, ok X2) -> U212#(X1, X2)) (proper# U212(X1, X2) -> U212#(proper X1, proper X2), U212#(mark X1, X2) -> U212#(X1, X2)) (proper# U32(X1, X2) -> U32#(proper X1, proper X2), U32#(ok X1, ok X2) -> U32#(X1, X2)) (proper# U32(X1, X2) -> U32#(proper X1, proper X2), U32#(mark X1, X2) -> U32#(X1, X2)) (proper# U51(X1, X2) -> U51#(proper X1, proper X2), U51#(ok X1, ok X2) -> U51#(X1, X2)) (proper# U51(X1, X2) -> U51#(proper X1, proper X2), U51#(mark X1, X2) -> U51#(X1, X2)) (proper# 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# U211(tt(), XS) -> U212#(isLNat XS, XS), U212#(ok X1, ok X2) -> U212#(X1, X2)) (active# U211(tt(), XS) -> U212#(isLNat XS, XS), U212#(mark X1, X2) -> U212#(X1, X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# tail X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# tail X -> tail# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# isPLNat X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# isPLNat X -> isPLNat# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U91 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U91 X -> U91# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U81 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U81 X -> U81# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U71 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U71 X -> U71# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U61 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U61 X -> U61# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U52 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U52 X -> U52# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U42 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U42 X -> U42# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# fst X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# fst X -> fst# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U221(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U221(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U221(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U222(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U222(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U222(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U211(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U211(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U212(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U212(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U204(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U204(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# isNatural X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# isNatural X -> isNatural# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U191(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U191(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U181(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U181(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U182(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U182(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# head X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# head X -> head# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U171(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U171(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U171(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U172(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U172(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U172(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U161(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U161(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# s X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# s X -> s# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> natsFrom# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U151(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U151(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U152 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U152 X -> U152# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U141(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U141(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U142 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U142 X -> U142# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U131(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U131(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U132 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U132 X -> U132# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U121 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U121 X -> U121# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# snd X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# snd X -> snd# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U111 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U111 X -> U111# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U101(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U101(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# isLNat X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# isLNat X -> isLNat# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U102 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X4, proper# U102 X -> U102# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# tail X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# tail X -> tail# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# isPLNat X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# isPLNat X -> isPLNat# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U91 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U91 X -> U91# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U81 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U81 X -> U81# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U71 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U71 X -> U71# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U61 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U61 X -> U61# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U52 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U52 X -> U52# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U42 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U42 X -> U42# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# fst X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# fst X -> fst# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U221(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U221(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U221(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U222(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U222(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U222(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U211(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U211(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U212(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U212(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U204(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U204(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# isNatural X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# isNatural X -> isNatural# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U191(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U191(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U181(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U181(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U182(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U182(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# head X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# head X -> head# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U171(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U171(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U171(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U172(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U172(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U172(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U161(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U161(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# s X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# s X -> s# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> natsFrom# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U151(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U151(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U152 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U152 X -> U152# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U141(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U141(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U142 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U142 X -> U142# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U131(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U131(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U132 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U132 X -> U132# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U121 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U121 X -> U121# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# snd X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# snd X -> snd# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U111 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U111 X -> U111# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U101(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U101(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# isLNat X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# isLNat X -> isLNat# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U102 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U102 X -> U102# proper X) (active# U172(tt(), N, XS) -> afterNth#(N, XS), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2)) (active# U172(tt(), N, XS) -> afterNth#(N, XS), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (active# U172(tt(), N, XS) -> afterNth#(N, XS), afterNth#(X1, mark X2) -> afterNth#(X1, X2)) (active# U222(tt(), N, XS) -> splitAt#(N, XS), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# U222(tt(), N, XS) -> splitAt#(N, XS), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# U222(tt(), N, XS) -> splitAt#(N, XS), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U91 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U91 X -> U91# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U81 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U81 X -> U81# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U71 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U71 X -> U71# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U61 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U61 X -> U61# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U52 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U52 X -> U52# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U152 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U152 X -> U152# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U142 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U142 X -> U142# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U132 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U132 X -> U132# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U121 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U121 X -> U121# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U111 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U111 X -> U111# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U102 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# U102 X -> U102# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U91 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U91 X -> U91# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U81 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U81 X -> U81# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U71 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U71 X -> U71# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U61 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U61 X -> U61# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U52 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U52 X -> U52# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U172(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U172(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U172(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U172(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U152 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U152 X -> U152# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U142 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U142 X -> U142# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U132 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U132 X -> U132# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U121 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U121 X -> U121# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U111 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U111 X -> U111# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U102 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X3, proper# U102 X -> U102# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# tail X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# tail X -> tail# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U91 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U91 X -> U91# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U81 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U81 X -> U81# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U71 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U71 X -> U71# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U61 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U61 X -> U61# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U52 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U52 X -> U52# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U42 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U42 X -> U42# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# fst X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# fst X -> fst# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U212(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U212(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U204(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U204(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# isNatural X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U182(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U182(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# head X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# head X -> head# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# s X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# s X -> s# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U151(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U151(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U152 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U152 X -> U152# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U141(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U141(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U142 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U142 X -> U142# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U131(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U131(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U132 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U132 X -> U132# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U121 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U121 X -> U121# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# snd X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# snd X -> snd# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U111 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U111 X -> U111# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# isLNat X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U102 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U102 X -> U102# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# tail X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# tail X -> tail# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U91 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U91 X -> U91# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U81 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U81 X -> U81# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U71 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U71 X -> U71# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U61 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U61 X -> U61# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U52 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U52 X -> U52# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U42 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U42 X -> U42# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# fst X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# fst X -> fst# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U212(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U212(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U204(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U204(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# isNatural X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U182(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U182(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# head X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# head X -> head# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# s X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# s X -> s# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U151(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U151(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U152 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U152 X -> U152# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U141(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U141(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U142 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U142 X -> U142# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U131(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U131(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U132 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U132 X -> U132# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U121 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U121 X -> U121# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# snd X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# snd X -> snd# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U111 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U111 X -> U111# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# isLNat X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U102 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U102 X -> U102# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U91 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U91 X -> U91# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U81 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U81 X -> U81# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U71 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U71 X -> U71# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U61 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U61 X -> U61# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U52 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U52 X -> U52# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U222(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U222(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U222(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U222(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U152 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U152 X -> U152# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U142 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U142 X -> U142# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U132 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U132 X -> U132# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U121 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U121 X -> U121# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U111 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U111 X -> U111# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U102 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X3, proper# U102 X -> U102# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U91 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U91 X -> U91# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U81 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U81 X -> U81# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U71 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U71 X -> U71# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U61 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U61 X -> U61# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U52 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U52 X -> U52# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U152 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U152 X -> U152# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U142 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U142 X -> U142# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U132 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U132 X -> U132# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U121 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U121 X -> U121# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U111 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U111 X -> U111# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U102 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X3, proper# U102 X -> U102# proper 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) -> isNatural# N) (active# splitAt(X1, X2) -> active# X2, active# sel(N, XS) -> U171#(isNatural N, 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) -> U221#(isNatural N, N, XS)) (active# splitAt(X1, X2) -> active# X2, active# take(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> isNatural# N) (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) -> U141#(isLNat V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# U91 X -> U91# active X) (active# splitAt(X1, X2) -> active# X2, active# U91 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U81 X -> U81# active X) (active# splitAt(X1, X2) -> active# X2, active# U81 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U71 X -> U71# active X) (active# splitAt(X1, X2) -> active# X2, active# U71 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U61 X -> U61# active X) (active# splitAt(X1, X2) -> active# X2, active# U61 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U51(tt(), V2) -> U52# isLNat V2) (active# splitAt(X1, X2) -> active# X2, active# U51(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# U51(X1, X2) -> U51#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U51(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U52 X -> U52# active X) (active# splitAt(X1, X2) -> active# X2, active# U52 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U41(tt(), V2) -> U42# isLNat V2) (active# splitAt(X1, X2) -> active# X2, active# U41(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# U41(X1, X2) -> U41#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U41(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U42 X -> U42# active X) (active# splitAt(X1, X2) -> active# X2, active# U42 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# splitAt(X1, X2) -> active# X2, active# U31(tt(), N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U31(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U32(X1, X2) -> U32#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U32(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# splitAt(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNat# X) (active# splitAt(X1, X2) -> active# X2, active# fst X -> fst# active X) (active# splitAt(X1, X2) -> active# X2, active# fst X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U221(tt(), N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U221(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U222(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# splitAt(X1, X2) -> active# X2, active# U211(tt(), XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# U211(X1, X2) -> U211#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U211(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U212(X1, X2) -> U212#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U212(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# splitAt(X1, X2) -> active# X2, active# U21(tt(), X, Y) -> isLNat# Y) (active# splitAt(X1, X2) -> active# X2, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U21(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> U22#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# splitAt(X1, X2) -> active# X2, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# splitAt(X1, X2) -> active# X2, active# U204(X1, X2) -> U204#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U204(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# splitAt(X1, X2) -> active# X2, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X2, active# U203(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U201(tt(), N, X, XS) -> isNatural# X) (active# splitAt(X1, X2) -> active# X2, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# splitAt(X1, X2) -> active# X2, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X2, active# U201(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# isNatural head V1 -> U111# isLNat V1) (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# isNatural s V1 -> U121# isNatural V1) (active# splitAt(X1, X2) -> active# X2, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# splitAt(X1, X2) -> active# X2, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X2, active# U202(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# splitAt(X1, X2) -> active# X2, active# U191(X1, X2) -> U191#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U191(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(X1, active X2)) (active# splitAt(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# splitAt(X1, X2) -> active# X2, active# U181(tt(), Y) -> isLNat# Y) (active# splitAt(X1, X2) -> active# X2, active# U181(X1, X2) -> U181#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U181(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U182(X1, X2) -> U182#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U182(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# splitAt(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# afterNth(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X2, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# splitAt(X1, X2) -> active# X2, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# splitAt(X1, X2) -> active# X2, active# head cons(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X2, active# head X -> head# active X) (active# splitAt(X1, X2) -> active# X2, active# head X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U171(tt(), N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U171(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U172(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U161(tt(), N) -> s# N) (active# splitAt(X1, X2) -> active# X2, active# U161(tt(), N) -> natsFrom# s N) (active# splitAt(X1, X2) -> active# X2, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# splitAt(X1, X2) -> active# X2, active# U161(X1, X2) -> U161#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U161(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# s X -> s# active X) (active# splitAt(X1, X2) -> active# X2, active# s X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# natsFrom X -> natsFrom# active X) (active# splitAt(X1, X2) -> active# X2, active# natsFrom X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# natsFrom N -> isNatural# N) (active# splitAt(X1, X2) -> active# X2, active# natsFrom N -> U161#(isNatural N, N)) (active# splitAt(X1, X2) -> active# X2, active# cons(X1, X2) -> cons#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U151(tt(), V2) -> U152# isLNat V2) (active# splitAt(X1, X2) -> active# X2, active# U151(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# U151(X1, X2) -> U151#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U151(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U152 X -> U152# active X) (active# splitAt(X1, X2) -> active# X2, active# U152 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U141(tt(), V2) -> U142# isLNat V2) (active# splitAt(X1, X2) -> active# X2, active# U141(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# U141(X1, X2) -> U141#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U141(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U142 X -> U142# active X) (active# splitAt(X1, X2) -> active# X2, active# U142 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U131(tt(), V2) -> U132# isLNat V2) (active# splitAt(X1, X2) -> active# X2, active# U131(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# U131(X1, X2) -> U131#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U131(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U132 X -> U132# active X) (active# splitAt(X1, X2) -> active# X2, active# U132 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U121 X -> U121# active X) (active# splitAt(X1, X2) -> active# X2, active# U121 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# splitAt(X1, X2) -> active# X2, active# splitAt(0(), XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# splitAt(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# splitAt(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# splitAt(X1, X2) -> active# X2, active# snd pair(X, Y) -> isLNat# X) (active# splitAt(X1, X2) -> active# X2, active# snd X -> snd# active X) (active# splitAt(X1, X2) -> active# X2, active# snd X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U111 X -> U111# active X) (active# splitAt(X1, X2) -> active# X2, active# U111 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U101(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# U101(tt(), V2) -> U102# isLNat V2) (active# splitAt(X1, X2) -> active# X2, active# U101(X1, X2) -> U101#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U101(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# isLNat tail V1 -> U91# isLNat V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat tail V1 -> isLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat fst V1 -> isPLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat fst V1 -> U61# isPLNat V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat snd V1 -> isPLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat snd V1 -> U81# isPLNat V1) (active# splitAt(X1, X2) -> active# X2, active# U102 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U102 X -> U102# active X) (active# pair(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2)) (active# pair(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# sel(N, XS) -> isNatural# N) (active# pair(X1, X2) -> active# X2, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# pair(X1, X2) -> active# X2, active# take(X1, X2) -> take#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# take(X1, X2) -> take#(X1, active X2)) (active# pair(X1, X2) -> active# X2, active# take(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X2, active# take(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# pair(X1, X2) -> active# X2, active# take(N, XS) -> isNatural# N) (active# pair(X1, X2) -> active# X2, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# pair(X1, X2) -> active# X2, active# tail cons(N, XS) -> isNatural# N) (active# pair(X1, X2) -> active# X2, active# tail X -> tail# active X) (active# pair(X1, X2) -> active# X2, active# tail X -> active# X) (active# pair(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# pair(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# pair(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# pair(X1, X2) -> active# X2, active# U91 X -> U91# active X) (active# pair(X1, X2) -> active# X2, active# U91 X -> active# X) (active# pair(X1, X2) -> active# X2, active# U81 X -> U81# active X) (active# pair(X1, X2) -> active# X2, active# U81 X -> active# X) (active# pair(X1, X2) -> active# X2, active# U71 X -> U71# active X) (active# pair(X1, X2) -> active# X2, active# U71 X -> active# X) (active# pair(X1, X2) -> active# X2, active# U61 X -> U61# active X) (active# pair(X1, X2) -> active# X2, active# U61 X -> active# X) (active# pair(X1, X2) -> active# X2, active# U51(tt(), V2) -> U52# isLNat V2) (active# pair(X1, X2) -> active# X2, active# U51(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X2, active# U51(X1, X2) -> U51#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U51(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U52 X -> U52# active X) (active# pair(X1, X2) -> active# X2, active# U52 X -> active# X) (active# pair(X1, X2) -> active# X2, active# U41(tt(), V2) -> U42# isLNat V2) (active# pair(X1, X2) -> active# X2, active# U41(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X2, active# U41(X1, X2) -> U41#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U41(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U42 X -> U42# active X) (active# pair(X1, X2) -> active# X2, active# U42 X -> active# X) (active# pair(X1, X2) -> active# X2, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# pair(X1, X2) -> active# X2, active# U31(tt(), N, XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X2, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U31(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U32(X1, X2) -> U32#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U32(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# pair(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNat# X) (active# pair(X1, X2) -> active# X2, active# fst X -> fst# active X) (active# pair(X1, X2) -> active# X2, active# fst X -> active# X) (active# pair(X1, X2) -> active# X2, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# pair(X1, X2) -> active# X2, active# U221(tt(), N, XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X2, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U221(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# pair(X1, X2) -> active# X2, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# pair(X1, X2) -> active# X2, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U222(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# pair(X1, X2) -> active# X2, active# U211(tt(), XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X2, active# U211(X1, X2) -> U211#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U211(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U212(X1, X2) -> U212#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U212(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# pair(X1, X2) -> active# X2, active# U21(tt(), X, Y) -> isLNat# Y) (active# pair(X1, X2) -> active# X2, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U21(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U22(X1, X2) -> U22#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# pair(X1, X2) -> active# X2, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# pair(X1, X2) -> active# X2, active# U204(X1, X2) -> U204#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U204(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# pair(X1, X2) -> active# X2, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# pair(X1, X2) -> active# X2, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# pair(X1, X2) -> active# X2, active# U203(X1, X2, X3, X4) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U201(tt(), N, X, XS) -> isNatural# X) (active# pair(X1, X2) -> active# X2, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# pair(X1, X2) -> active# X2, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# pair(X1, X2) -> active# X2, active# U201(X1, X2, X3, X4) -> active# X1) (active# pair(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# pair(X1, X2) -> active# X2, active# isNatural head V1 -> U111# isLNat V1) (active# pair(X1, X2) -> active# X2, active# isNatural head V1 -> isLNat# V1) (active# pair(X1, X2) -> active# X2, active# isNatural s V1 -> isNatural# V1) (active# pair(X1, X2) -> active# X2, active# isNatural s V1 -> U121# isNatural V1) (active# pair(X1, X2) -> active# X2, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# pair(X1, X2) -> active# X2, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X2, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# pair(X1, X2) -> active# X2, active# U202(X1, X2, X3, X4) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# pair(X1, X2) -> active# X2, active# U191(X1, X2) -> U191#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U191(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(X1, active X2)) (active# pair(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# pair(X1, X2) -> active# X2, active# U181(tt(), Y) -> isLNat# Y) (active# pair(X1, X2) -> active# X2, active# U181(X1, X2) -> U181#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U181(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U182(X1, X2) -> U182#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U182(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# pair(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# afterNth(N, XS) -> isNatural# N) (active# pair(X1, X2) -> active# X2, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# pair(X1, X2) -> active# X2, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# pair(X1, X2) -> active# X2, active# head cons(N, XS) -> isNatural# N) (active# pair(X1, X2) -> active# X2, active# head X -> head# active X) (active# pair(X1, X2) -> active# X2, active# head X -> active# X) (active# pair(X1, X2) -> active# X2, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# pair(X1, X2) -> active# X2, active# U171(tt(), N, XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X2, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U171(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# pair(X1, X2) -> active# X2, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# pair(X1, X2) -> active# X2, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U172(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U161(tt(), N) -> s# N) (active# pair(X1, X2) -> active# X2, active# U161(tt(), N) -> natsFrom# s N) (active# pair(X1, X2) -> active# X2, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# pair(X1, X2) -> active# X2, active# U161(X1, X2) -> U161#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U161(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# s X -> s# active X) (active# pair(X1, X2) -> active# X2, active# s X -> active# X) (active# pair(X1, X2) -> active# X2, active# natsFrom X -> natsFrom# active X) (active# pair(X1, X2) -> active# X2, active# natsFrom X -> active# X) (active# pair(X1, X2) -> active# X2, active# natsFrom N -> isNatural# N) (active# pair(X1, X2) -> active# X2, active# natsFrom N -> U161#(isNatural N, N)) (active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> cons#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U151(tt(), V2) -> U152# isLNat V2) (active# pair(X1, X2) -> active# X2, active# U151(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X2, active# U151(X1, X2) -> U151#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U151(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U152 X -> U152# active X) (active# pair(X1, X2) -> active# X2, active# U152 X -> active# X) (active# pair(X1, X2) -> active# X2, active# U141(tt(), V2) -> U142# isLNat V2) (active# pair(X1, X2) -> active# X2, active# U141(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X2, active# U141(X1, X2) -> U141#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U141(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U142 X -> U142# active X) (active# pair(X1, X2) -> active# X2, active# U142 X -> active# X) (active# pair(X1, X2) -> active# X2, active# U131(tt(), V2) -> U132# isLNat V2) (active# pair(X1, X2) -> active# X2, active# U131(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X2, active# U131(X1, X2) -> U131#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U131(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U132 X -> U132# active X) (active# pair(X1, X2) -> active# X2, active# U132 X -> active# X) (active# pair(X1, X2) -> active# X2, active# U121 X -> U121# active X) (active# pair(X1, X2) -> active# X2, active# U121 X -> active# X) (active# pair(X1, X2) -> active# X2, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# pair(X1, X2) -> active# X2, active# splitAt(0(), XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# pair(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# pair(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# pair(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# pair(X1, X2) -> active# X2, active# snd pair(X, Y) -> isLNat# X) (active# pair(X1, X2) -> active# X2, active# snd X -> snd# active X) (active# pair(X1, X2) -> active# X2, active# snd X -> active# X) (active# pair(X1, X2) -> active# X2, active# U111 X -> U111# active X) (active# pair(X1, X2) -> active# X2, active# U111 X -> active# X) (active# pair(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# pair(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# pair(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# pair(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U101(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X2, active# U101(tt(), V2) -> U102# isLNat V2) (active# pair(X1, X2) -> active# X2, active# U101(X1, X2) -> U101#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U101(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# pair(X1, X2) -> active# X2, active# isLNat tail V1 -> U91# isLNat V1) (active# pair(X1, X2) -> active# X2, active# isLNat tail V1 -> isLNat# V1) (active# pair(X1, X2) -> active# X2, active# isLNat fst V1 -> isPLNat# V1) (active# pair(X1, X2) -> active# X2, active# isLNat fst V1 -> U61# isPLNat V1) (active# pair(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# pair(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# pair(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> isNatural# V1) (active# pair(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# pair(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X2, active# isLNat snd V1 -> isPLNat# V1) (active# pair(X1, X2) -> active# X2, active# isLNat snd V1 -> U81# isPLNat V1) (active# pair(X1, X2) -> active# X2, active# U102 X -> active# X) (active# pair(X1, X2) -> active# X2, active# U102 X -> U102# active X) (active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# sel(N, XS) -> isNatural# N) (active# sel(X1, X2) -> active# X2, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# sel(X1, X2) -> active# X2, active# take(X1, X2) -> take#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# take(X1, X2) -> take#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# take(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# take(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# sel(X1, X2) -> active# X2, active# take(N, XS) -> isNatural# N) (active# sel(X1, X2) -> active# X2, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# sel(X1, X2) -> active# X2, active# tail cons(N, XS) -> isNatural# N) (active# sel(X1, X2) -> active# X2, active# tail X -> tail# active X) (active# sel(X1, X2) -> active# X2, active# tail X -> active# X) (active# sel(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# sel(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# sel(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# sel(X1, X2) -> active# X2, active# U91 X -> U91# active X) (active# sel(X1, X2) -> active# X2, active# U91 X -> active# X) (active# sel(X1, X2) -> active# X2, active# U81 X -> U81# active X) (active# sel(X1, X2) -> active# X2, active# U81 X -> active# X) (active# sel(X1, X2) -> active# X2, active# U71 X -> U71# active X) (active# sel(X1, X2) -> active# X2, active# U71 X -> active# X) (active# sel(X1, X2) -> active# X2, active# U61 X -> U61# active X) (active# sel(X1, X2) -> active# X2, active# U61 X -> active# X) (active# sel(X1, X2) -> active# X2, active# U51(tt(), V2) -> U52# isLNat V2) (active# sel(X1, X2) -> active# X2, active# U51(tt(), V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X2, active# U51(X1, X2) -> U51#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U51(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U52 X -> U52# active X) (active# sel(X1, X2) -> active# X2, active# U52 X -> active# X) (active# sel(X1, X2) -> active# X2, active# U41(tt(), V2) -> U42# isLNat V2) (active# sel(X1, X2) -> active# X2, active# U41(tt(), V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X2, active# U41(X1, X2) -> U41#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U41(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U42 X -> U42# active X) (active# sel(X1, X2) -> active# X2, active# U42 X -> active# X) (active# sel(X1, X2) -> active# X2, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# sel(X1, X2) -> active# X2, active# U31(tt(), N, XS) -> isLNat# XS) (active# sel(X1, X2) -> active# X2, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X2, active# U31(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U32(X1, X2) -> U32#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U32(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNat# X) (active# sel(X1, X2) -> active# X2, active# fst X -> fst# active X) (active# sel(X1, X2) -> active# X2, active# fst X -> active# X) (active# sel(X1, X2) -> active# X2, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# sel(X1, X2) -> active# X2, active# U221(tt(), N, XS) -> isLNat# XS) (active# sel(X1, X2) -> active# X2, active# U221(X1, X2, X3) -> U221#(active 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proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U152 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U142 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U132 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U121 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U111 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U102 X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U102 X -> U102# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U141(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U141(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U141(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U141(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U141(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U141(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U141(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U141(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U141(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U141(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U141(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U141(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U141(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U141(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U141(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U141(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U141(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U141(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U141(X1, X2) -> proper# X2, proper# U102 X -> U102# 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# U91 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U52 X -> U52# 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# U42 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(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# cons(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# cons(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (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# U202(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# cons(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(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# U181(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (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# U171(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(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# U151(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (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# snd X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (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# U12(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (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# U102 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U91 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U81 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U71 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U61 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U52 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U172(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U172(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U172(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U172(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U152 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U142 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U132 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U121 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U111 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U172(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U172(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U172(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U172(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U172(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U102 X -> proper# X) (proper# U172(X1, X2, X3) -> proper# X2, proper# U102 X -> U102# 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# U91 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U52 X -> U52# 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# U42 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(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# afterNth(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# afterNth(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (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# U202(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# afterNth(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(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# U181(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (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# U171(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(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# U151(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (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# snd X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (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# U12(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (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# U102 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U181(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U181(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U181(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U181(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U181(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U181(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U181(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U181(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U181(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U181(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U181(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U191(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U191(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U191(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U191(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U191(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U191(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U191(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U191(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U191(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U191(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U191(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# tail X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# tail X -> tail# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U91 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U81 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U71 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U61 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U52 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U42 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# fst X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# fst X -> fst# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isNatural X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# head X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# head X -> head# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# s X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# s X -> s# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U152 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U142 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U132 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U121 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# snd X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# snd X -> snd# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U111 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isLNat X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U102 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U204(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U204(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U204(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U204(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U204(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U204(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U204(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U204(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U204(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U204(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U204(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U204(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U204(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U204(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U204(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U204(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U204(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U204(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U204(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U204(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U204(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U91 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U81 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U71 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U61 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U52 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U152 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U142 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U132 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U121 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U111 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U102 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U211(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U211(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U211(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U211(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U211(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U211(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U211(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U211(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U211(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U211(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U211(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U91 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U81 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U71 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U61 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U52 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U221(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U221(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U221(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U221(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U152 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U142 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U132 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U121 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U111 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U102 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U91 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U81 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U71 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U61 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U52 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U152 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U142 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U132 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U121 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U111 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U31(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U31(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U31(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U102 X -> proper# X) (proper# U31(X1, X2, X3) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U51(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U51(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U51(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U51(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U51(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U51(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# U102 X -> U102# 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# U91 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U52 X -> U52# 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# U42 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# sel(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (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# U202(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# sel(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(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# U181(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(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# U151(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# sel(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (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# U102 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# take(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# take(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# take(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# take(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# take(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# take(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# take(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# take(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# take(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# take(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# take(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# take(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# take(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# take(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# take(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# take(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# take(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# take(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# take(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# take(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# take(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# take(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# take(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# take(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# take(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U41(X1, X2) -> proper# X2, proper# U102 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# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (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# U111 X -> U111# proper X) (proper# U41(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (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# 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# U121 X -> U121# proper X) (proper# U41(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U41(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U41(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U41(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U151(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# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (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# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U181(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# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (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# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (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# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U41(X1, X2) -> proper# X2, proper# U42 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# U52 X -> U52# proper X) (proper# U41(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U41(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U41(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U41(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U41(X1, X2) -> proper# X2, proper# U91 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# U32(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U32(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U32(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U32(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U32(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U32(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U32(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U32(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U32(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U32(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U32(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U32(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U32(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U32(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U32(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U32(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U32(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U32(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U32(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U32(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U32(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U32(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U32(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U32(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U32(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U32(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U32(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U32(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U102 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U111 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U121 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U132 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U142 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U152 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U222(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U222(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U222(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U52 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U61 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U71 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U81 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# U91 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U222(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U212(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U212(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U212(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U212(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U212(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U212(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U212(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U212(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U212(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U212(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U212(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U212(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U212(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U212(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U212(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U212(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U212(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U212(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U212(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U212(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U212(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U212(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U212(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U212(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U212(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U212(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U212(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U212(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U212(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U212(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U212(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U22(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U22(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U22(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U22(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U22(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U22(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U22(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U22(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U22(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U22(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U22(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U22(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U22(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U22(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U22(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U22(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U22(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U22(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U22(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U22(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U22(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U22(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U22(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U22(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U22(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U22(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U22(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U102 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# isLNat X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U111 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# snd X -> snd# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# snd X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U121 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U132 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U142 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U152 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# s X -> s# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# s X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# head X -> head# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# head X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# isNatural X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# fst X -> fst# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# fst X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U42 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U52 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U61 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U71 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U81 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U91 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# tail X -> tail# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# tail X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U102 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# isLNat X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U111 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# snd X -> snd# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# snd X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U121 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U132 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U142 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U152 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# s X -> s# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# s X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# head X -> head# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# head X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# isNatural X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# fst X -> fst# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# fst X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U42 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U52 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U61 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U71 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U81 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U91 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# tail X -> tail# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# tail X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U102 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# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (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# U111 X -> U111# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (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# 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# U121 X -> U121# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U151(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# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (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# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U181(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# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (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# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# pair(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# pair(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (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# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U42 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# U52 X -> U52# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U91 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# U182(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U182(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U182(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U182(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U182(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U182(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U182(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U182(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U182(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U182(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U182(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U182(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U182(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U182(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U182(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U182(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U182(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U182(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U182(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U182(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U182(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U182(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U182(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U182(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U182(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U182(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U182(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U182(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U182(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U182(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U182(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U182(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U102 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U111 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U121 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U132 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U142 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U152 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U171(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U171(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U171(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U42 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U52 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U61 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U71 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U81 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U91 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U161(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U161(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U161(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U161(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U161(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U161(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U161(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U161(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U161(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U161(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U161(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U161(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U161(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U161(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U161(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U151(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U151(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U151(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U151(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U151(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U151(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U151(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U151(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U151(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U151(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U151(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U151(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U151(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U151(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U151(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U151(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U151(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U151(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U151(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U151(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U151(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U151(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U151(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U151(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U151(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U151(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U151(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U151(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U151(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U151(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U151(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U131(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U131(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U131(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U131(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U131(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U131(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U131(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U131(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U131(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U131(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U131(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U131(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U131(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U131(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U131(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U131(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U131(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U131(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U131(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U131(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U131(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U131(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U131(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U131(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U131(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U131(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U131(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U131(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U131(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U131(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U131(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U102 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# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U111 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U121 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U132 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U142 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U152 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U151(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# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U181(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# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (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# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U42 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# U52 X -> U52# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U52 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U61 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U71 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U91 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# U101(X1, X2) -> proper# X2, proper# U102 X -> U102# proper X) (proper# U101(X1, X2) -> proper# X2, proper# U102 X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U101(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U101(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X2, proper# U111 X -> U111# proper X) (proper# U101(X1, X2) -> proper# X2, proper# U111 X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U101(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U121 X -> U121# proper X) (proper# U101(X1, X2) -> proper# X2, proper# U121 X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# U132 X -> U132# proper X) (proper# U101(X1, X2) -> proper# X2, proper# U132 X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U131(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U142 X -> U142# proper X) (proper# U101(X1, X2) -> proper# X2, proper# U142 X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U141(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U152 X -> U152# proper X) (proper# U101(X1, X2) -> proper# X2, proper# U152 X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U151(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U101(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U101(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U101(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U101(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U101(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U101(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U101(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U101(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U101(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U101(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U101(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U101(X1, X2) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U101(X1, X2) -> proper# X2, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U204(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X2, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U212(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U101(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X2, proper# U42 X -> U42# proper X) (proper# U101(X1, X2) -> proper# X2, proper# U42 X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U52 X -> U52# proper X) (proper# U101(X1, X2) -> proper# X2, proper# U52 X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# U61 X -> U61# proper X) (proper# U101(X1, X2) -> proper# X2, proper# U61 X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# U71 X -> U71# proper X) (proper# U101(X1, X2) -> proper# X2, proper# U71 X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# U81 X -> U81# proper X) (proper# U101(X1, X2) -> proper# X2, proper# U81 X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# U91 X -> U91# proper X) (proper# U101(X1, X2) -> proper# X2, proper# U91 X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U101(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U101(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U101(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (active# take(X1, X2) -> active# X2, active# U102 X -> U102# active X) (active# take(X1, X2) -> active# X2, active# U102 X -> active# X) (active# take(X1, X2) -> active# X2, active# isLNat snd V1 -> U81# isPLNat V1) (active# take(X1, X2) -> active# X2, active# isLNat snd V1 -> isPLNat# V1) (active# take(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> isNatural# V1) (active# take(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# take(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> isNatural# V1) (active# take(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# take(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# take(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# take(X1, X2) -> active# X2, active# isLNat fst V1 -> U61# isPLNat V1) (active# take(X1, X2) -> active# X2, active# isLNat fst V1 -> isPLNat# V1) (active# take(X1, X2) -> active# X2, active# isLNat tail V1 -> isLNat# V1) (active# take(X1, X2) -> active# X2, active# isLNat tail V1 -> U91# isLNat V1) (active# take(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# take(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> isNatural# V1) (active# take(X1, X2) -> active# X2, active# U101(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U101(X1, X2) -> U101#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U101(tt(), V2) -> U102# isLNat V2) (active# take(X1, X2) -> active# X2, active# U101(tt(), V2) -> isLNat# V2) (active# take(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# take(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# take(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# take(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# take(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> isLNat# XS) (active# take(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# take(X1, X2) -> active# X2, active# U111 X -> active# X) (active# take(X1, X2) -> active# X2, active# U111 X -> U111# active X) (active# take(X1, X2) -> active# X2, active# snd X -> active# X) (active# take(X1, X2) -> active# X2, active# snd X -> snd# active X) (active# take(X1, X2) -> active# X2, active# snd pair(X, Y) -> isLNat# X) (active# take(X1, X2) -> active# X2, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# take(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# take(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# take(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# take(X1, X2) -> active# X2, active# 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X1) (active# take(X1, X2) -> active# X2, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# take(X1, X2) -> active# X2, active# U171(tt(), N, XS) -> isLNat# XS) (active# take(X1, X2) -> active# X2, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# take(X1, X2) -> active# X2, active# head X -> active# X) (active# take(X1, X2) -> active# X2, active# head X -> head# active X) (active# take(X1, X2) -> active# X2, active# head cons(N, XS) -> isNatural# N) (active# take(X1, X2) -> active# X2, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# take(X1, X2) -> active# X2, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# take(X1, X2) -> active# X2, active# afterNth(N, XS) -> isNatural# N) (active# take(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# 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pair#(cons(X, YS), ZS)) (active# take(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U22(X1, X2) -> U22#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U21(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X2, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# take(X1, X2) -> active# X2, active# U21(tt(), X, Y) -> isLNat# Y) (active# take(X1, X2) -> active# X2, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# take(X1, X2) -> active# X2, active# U212(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U212(X1, X2) -> U212#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U211(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U211(X1, X2) -> U211#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U211(tt(), XS) -> isLNat# XS) (active# take(X1, X2) -> active# X2, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# take(X1, X2) -> 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-> active# X1) (active# take(X1, X2) -> active# X2, active# U32(X1, X2) -> U32#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U31(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X2, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# take(X1, X2) -> active# X2, active# U31(tt(), N, XS) -> isLNat# XS) (active# take(X1, X2) -> active# X2, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# take(X1, X2) -> active# X2, active# U42 X -> active# X) (active# take(X1, X2) -> active# X2, active# U42 X -> U42# active X) (active# take(X1, X2) -> active# X2, active# U41(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U41(X1, X2) -> U41#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U41(tt(), V2) -> isLNat# V2) (active# take(X1, X2) -> active# X2, active# U41(tt(), V2) -> U42# isLNat V2) (active# take(X1, X2) -> active# X2, active# U52 X -> active# X) (active# take(X1, X2) -> active# X2, active# U52 X -> U52# active X) 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take(X1, X2) -> active# X2, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# take(X1, X2) -> active# X2, active# sel(N, XS) -> isNatural# N) (active# take(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2)) (active# take(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U102 X -> U102# active X) (active# afterNth(X1, X2) -> active# X2, active# U102 X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# isLNat snd V1 -> U81# 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) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# afterNth(X1, X2) -> active# X2, active# 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afterNth(X1, X2) -> active# X2, active# U101(tt(), V2) -> U102# isLNat V2) (active# afterNth(X1, X2) -> active# X2, active# U101(tt(), V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U111 X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# U111 X -> U111# active X) 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afterNth(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# afterNth(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U182(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U182(X1, X2) -> U182#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U181(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U181(X1, X2) -> U181#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U181(tt(), Y) -> isLNat# Y) (active# afterNth(X1, X2) -> active# X2, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (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)) 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X2) -> active# X2, active# take(N, XS) -> isNatural# N) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> U221#(isNatural N, N, 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) -> U171#(isNatural N, N, XS)) (active# afterNth(X1, X2) -> active# X2, active# sel(N, XS) -> isNatural# N) (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# U161(tt(), N) -> cons#(N, natsFrom s N), cons#(mark X1, X2) -> cons#(X1, X2)) (active# U161(tt(), N) -> cons#(N, natsFrom s N), cons#(ok X1, ok X2) -> cons#(X1, X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U102 X -> U102# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U102 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U111 X -> U111# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U111 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U121 X -> U121# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U121 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U132 X -> U132# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U132 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U142 X -> U142# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U142 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U152 X -> U152# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U152 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U221(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U221(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U221(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U52 X -> U52# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U52 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U61 X -> U61# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U61 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U71 X -> U71# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U71 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U81 X -> U81# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U81 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U91 X -> U91# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U91 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U102 X -> U102# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U102 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X3, proper# U111 X -> U111# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U111 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U121 X -> U121# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U121 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U132 X -> U132# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U132 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U142 X -> U142# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U142 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U152 X -> U152# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U152 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U52 X -> U52# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U52 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# U61 X -> U61# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U61 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U71 X -> U71# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U71 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U81 X -> U81# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U81 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U91 X -> U91# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# U91 X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U21(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U21(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U21(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U21(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U21(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U102 X -> U102# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U102 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# isLNat X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U111 X -> U111# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U111 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# snd X -> snd# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# snd X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U121 X -> U121# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U121 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U132 X -> U132# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U132 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U131(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U131(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U142 X -> U142# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U142 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U141(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U141(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U152 X -> U152# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U152 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U151(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U151(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# s X -> s# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# s X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# head X -> head# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# head X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U182(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U182(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# isNatural X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U204(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U204(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U212(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U212(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# fst X -> fst# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# fst X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U42 X -> U42# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U42 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U52 X -> U52# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U52 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U61 X -> U61# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U61 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U71 X -> U71# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U71 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U81 X -> U81# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U81 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U91 X -> U91# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U91 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# tail X -> tail# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# tail X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U102 X -> U102# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U102 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U111 X -> U111# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U111 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U121 X -> U121# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U121 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U132 X -> U132# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U132 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U142 X -> U142# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U142 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U152 X -> U152# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U152 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U171(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U171(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U171(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U52 X -> U52# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U52 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U61 X -> U61# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U61 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U71 X -> U71# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U71 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U81 X -> U81# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U81 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U91 X -> U91# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U91 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U102 X -> U102# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U102 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (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# U11(X1, X2, X3) -> proper# X1) (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# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U111 X -> U111# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U111 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U121 X -> U121# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U121 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U132 X -> U132# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U132 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U131(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U142 X -> U142# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U142 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U141(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U152 X -> U152# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U152 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U151(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U172(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U182(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U204(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U222(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U42 X -> U42# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U52 X -> U52# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U52 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U61 X -> U61# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U61 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U71 X -> U71# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U71 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81 X -> U81# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U91 X -> U91# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U91 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, 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) -> proper# X2) (active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), pair#(X1, mark X2) -> pair#(X1, X2)) (active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), pair#(mark X1, X2) -> pair#(X1, X2)) (active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), pair#(ok X1, ok X2) -> pair#(X1, X2)) (active# U203(tt(), N, X, XS) -> splitAt#(N, XS), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (active# U203(tt(), N, X, XS) -> splitAt#(N, XS), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# U203(tt(), N, X, XS) -> splitAt#(N, XS), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# U12(tt(), N, XS) -> splitAt#(N, XS), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (active# U12(tt(), N, XS) -> splitAt#(N, XS), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# U12(tt(), N, XS) -> splitAt#(N, XS), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U102 X -> U102# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U102 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# isLNat X -> isLNat# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# isLNat X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U101(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U101(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U111 X -> U111# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U111 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# snd X -> snd# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# snd X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U121 X -> U121# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U121 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U132 X -> U132# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U132 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U131(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U131(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U142 X -> U142# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U142 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U141(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U141(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U152 X -> U152# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U152 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U151(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U151(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> natsFrom# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# s X -> s# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# s X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U161(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U161(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U172(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U172(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U172(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U171(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U171(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U171(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# head X -> head# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# head X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U182(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U182(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U181(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U181(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U191(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U191(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# isNatural X -> isNatural# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# isNatural X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U204(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U204(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U212(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U212(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U211(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U211(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U222(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U222(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U222(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U221(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U221(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U221(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# fst X -> fst# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# fst X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U42 X -> U42# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U42 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U52 X -> U52# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U52 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U61 X -> U61# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U61 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U71 X -> U71# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U71 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U81 X -> U81# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U81 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U91 X -> U91# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U91 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# isPLNat X -> isPLNat# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# isPLNat X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# tail X -> tail# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# tail X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X2) (active# tail cons(N, XS) -> U211#(isNatural N, XS), U211#(mark X1, X2) -> U211#(X1, X2)) (active# tail cons(N, XS) -> U211#(isNatural N, XS), U211#(ok X1, ok X2) -> U211#(X1, X2)) (active# splitAt(0(), XS) -> U191#(isLNat XS, XS), U191#(mark X1, X2) -> U191#(X1, X2)) (active# splitAt(0(), XS) -> U191#(isLNat XS, XS), U191#(ok X1, ok X2) -> U191#(X1, X2)) (proper# take(X1, X2) -> take#(proper X1, proper X2), take#(X1, mark X2) -> take#(X1, X2)) (proper# take(X1, X2) -> take#(proper X1, proper X2), take#(mark X1, X2) -> take#(X1, X2)) (proper# take(X1, X2) -> take#(proper X1, proper X2), take#(ok X1, ok X2) -> take#(X1, X2)) (proper# 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# U211(X1, X2) -> U211#(proper X1, proper X2), U211#(mark X1, X2) -> U211#(X1, X2)) (proper# U211(X1, X2) -> U211#(proper X1, proper X2), U211#(ok X1, ok X2) -> U211#(X1, X2)) (proper# U22(X1, X2) -> U22#(proper X1, proper X2), U22#(mark X1, X2) -> U22#(X1, X2)) (proper# U22(X1, X2) -> U22#(proper X1, proper X2), U22#(ok X1, ok X2) -> U22#(X1, X2)) (proper# U191(X1, X2) -> U191#(proper X1, proper X2), U191#(mark X1, X2) -> U191#(X1, X2)) (proper# U191(X1, X2) -> U191#(proper X1, proper X2), U191#(ok X1, ok X2) -> U191#(X1, X2)) (proper# U181(X1, X2) -> U181#(proper X1, proper X2), U181#(mark X1, X2) -> U181#(X1, X2)) (proper# U181(X1, X2) -> U181#(proper X1, proper X2), U181#(ok X1, ok X2) -> U181#(X1, X2)) (proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2), afterNth#(X1, mark 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#(ok X1, ok X2) -> afterNth#(X1, X2)) (proper# cons(X1, X2) -> cons#(proper X1, proper X2), cons#(mark X1, X2) -> cons#(X1, X2)) (proper# cons(X1, X2) -> cons#(proper X1, proper X2), cons#(ok X1, ok X2) -> cons#(X1, X2)) (proper# U141(X1, X2) -> U141#(proper X1, proper X2), U141#(mark X1, X2) -> U141#(X1, X2)) (proper# U141(X1, X2) -> U141#(proper X1, proper X2), U141#(ok X1, ok X2) -> U141#(X1, X2)) (proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# sel(X1, X2) -> sel#(X1, active X2), sel#(X1, mark X2) -> sel#(X1, X2)) (active# sel(X1, X2) -> sel#(X1, active X2), sel#(mark X1, X2) -> sel#(X1, X2)) (active# sel(X1, X2) -> sel#(X1, active X2), sel#(ok X1, ok X2) -> sel#(X1, X2)) (active# 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# 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)) (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)) (U51#(mark X1, X2) -> U51#(X1, X2), U51#(mark X1, X2) -> U51#(X1, X2)) (U51#(mark X1, X2) -> U51#(X1, X2), U51#(ok X1, ok X2) -> U51#(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)) (U32#(mark X1, X2) -> U32#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2)) (U32#(mark X1, X2) -> U32#(X1, X2), U32#(ok X1, ok X2) -> U32#(X1, X2)) (U211#(mark X1, X2) -> U211#(X1, X2), U211#(mark X1, X2) -> U211#(X1, X2)) (U211#(mark X1, X2) -> U211#(X1, X2), U211#(ok X1, ok X2) -> U211#(X1, X2)) (U212#(mark X1, X2) -> U212#(X1, X2), U212#(mark X1, X2) -> U212#(X1, X2)) (U212#(mark X1, X2) -> U212#(X1, X2), U212#(ok X1, ok X2) -> U212#(X1, X2)) (U22#(mark X1, X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2)) (U22#(mark X1, X2) -> U22#(X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2)) (U204#(mark X1, X2) -> U204#(X1, X2), U204#(mark X1, X2) -> U204#(X1, X2)) (U204#(mark X1, X2) -> U204#(X1, X2), U204#(ok X1, ok X2) -> U204#(X1, X2)) (U191#(mark X1, X2) -> U191#(X1, X2), U191#(mark X1, X2) -> U191#(X1, X2)) (U191#(mark X1, X2) -> U191#(X1, X2), U191#(ok X1, ok X2) -> U191#(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)) (U181#(ok X1, ok X2) -> U181#(X1, X2), U181#(mark X1, X2) -> U181#(X1, X2)) (U181#(ok X1, ok X2) -> U181#(X1, X2), U181#(ok X1, ok X2) -> U181#(X1, X2)) (U182#(ok X1, ok X2) -> U182#(X1, X2), U182#(mark X1, X2) -> U182#(X1, X2)) (U182#(ok X1, ok X2) -> U182#(X1, X2), U182#(ok X1, ok X2) -> U182#(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)) (U161#(mark X1, X2) -> U161#(X1, X2), U161#(mark X1, X2) -> U161#(X1, X2)) (U161#(mark X1, X2) -> U161#(X1, X2), U161#(ok X1, ok X2) -> U161#(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)) (U151#(mark X1, X2) -> U151#(X1, X2), U151#(mark X1, X2) -> U151#(X1, X2)) (U151#(mark X1, X2) -> U151#(X1, X2), U151#(ok X1, ok X2) -> U151#(X1, X2)) (U141#(mark X1, X2) -> U141#(X1, X2), U141#(mark X1, X2) -> U141#(X1, X2)) (U141#(mark X1, X2) -> U141#(X1, X2), U141#(ok X1, ok X2) -> U141#(X1, X2)) (U131#(mark X1, X2) -> U131#(X1, X2), U131#(mark X1, X2) -> U131#(X1, X2)) (U131#(mark X1, X2) -> U131#(X1, X2), U131#(ok X1, ok X2) -> U131#(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)) (U101#(ok X1, ok X2) -> U101#(X1, X2), U101#(mark X1, X2) -> U101#(X1, X2)) (U101#(ok X1, ok X2) -> U101#(X1, X2), U101#(ok X1, ok X2) -> U101#(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# U51(X1, X2) -> U51#(active X1, X2), U51#(mark X1, X2) -> U51#(X1, X2)) (active# U51(X1, X2) -> U51#(active X1, X2), U51#(ok X1, ok X2) -> U51#(X1, X2)) (active# U32(X1, X2) -> U32#(active X1, X2), U32#(mark X1, X2) -> U32#(X1, X2)) (active# U32(X1, X2) -> U32#(active X1, X2), U32#(ok X1, ok X2) -> U32#(X1, X2)) (active# U212(X1, X2) -> U212#(active X1, X2), U212#(mark X1, X2) -> U212#(X1, X2)) (active# U212(X1, X2) -> U212#(active X1, X2), U212#(ok X1, ok X2) -> U212#(X1, X2)) (active# U204(X1, X2) -> U204#(active X1, X2), U204#(mark X1, X2) -> U204#(X1, X2)) (active# U204(X1, X2) -> U204#(active X1, X2), U204#(ok X1, ok X2) -> U204#(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# U182(X1, X2) -> U182#(active X1, X2), U182#(mark X1, X2) -> U182#(X1, X2)) (active# U182(X1, X2) -> U182#(active X1, X2), U182#(ok X1, ok X2) -> U182#(X1, X2)) (active# U161(X1, X2) -> U161#(active X1, X2), U161#(mark X1, X2) -> U161#(X1, X2)) (active# U161(X1, X2) -> U161#(active X1, X2), U161#(ok X1, ok X2) -> U161#(X1, X2)) (active# U151(X1, X2) -> U151#(active X1, X2), U151#(mark X1, X2) -> U151#(X1, X2)) (active# U151(X1, X2) -> U151#(active X1, X2), U151#(ok X1, ok X2) -> U151#(X1, X2)) (active# U131(X1, X2) -> U131#(active X1, X2), U131#(mark X1, X2) -> U131#(X1, X2)) (active# U131(X1, X2) -> U131#(active X1, X2), U131#(ok X1, ok X2) -> U131#(X1, X2)) (active# U101(X1, X2) -> U101#(active X1, X2), U101#(mark X1, X2) -> U101#(X1, X2)) (active# U101(X1, X2) -> U101#(active X1, X2), U101#(ok X1, ok X2) -> U101#(X1, X2)) (active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X), U204#(mark X1, X2) -> U204#(X1, X2)) (active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X), U204#(ok X1, ok X2) -> U204#(X1, X2)) (active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS), U203#(mark X1, X2, X3, X4) -> U203#(X1, X2, X3, X4)) (active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS), U203#(ok X1, ok X2, ok X3, ok X4) -> U203#(X1, X2, X3, X4)) (proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4), U203#(mark X1, X2, X3, X4) -> U203#(X1, X2, X3, X4)) (proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4), U203#(ok X1, ok X2, ok X3, ok X4) -> U203#(X1, X2, X3, X4)) (proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4), U202#(mark X1, X2, X3, X4) -> U202#(X1, X2, X3, X4)) (proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4), U202#(ok X1, ok X2, ok X3, ok X4) -> U202#(X1, X2, X3, X4)) (U203#(mark X1, X2, X3, X4) -> U203#(X1, X2, X3, X4), U203#(mark X1, X2, X3, X4) -> U203#(X1, X2, X3, X4)) (U203#(mark X1, X2, X3, X4) -> U203#(X1, X2, X3, X4), U203#(ok X1, ok X2, ok X3, ok X4) -> U203#(X1, X2, X3, X4)) (U201#(mark X1, X2, X3, X4) -> U201#(X1, X2, X3, X4), U201#(mark X1, X2, X3, X4) -> U201#(X1, X2, X3, X4)) (U201#(mark X1, X2, X3, X4) -> U201#(X1, X2, X3, X4), U201#(ok X1, ok X2, ok X3, ok X4) -> U201#(X1, X2, X3, X4)) (U202#(mark X1, X2, X3, X4) -> U202#(X1, X2, X3, X4), U202#(mark X1, X2, X3, X4) -> U202#(X1, X2, X3, X4)) (U202#(mark X1, X2, X3, X4) -> U202#(X1, X2, X3, X4), U202#(ok X1, ok X2, ok X3, ok X4) -> U202#(X1, X2, X3, X4)) (active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4), U201#(mark X1, X2, X3, X4) -> U201#(X1, X2, X3, X4)) (active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4), U201#(ok X1, ok X2, ok X3, ok X4) -> U201#(X1, X2, X3, X4)) (active# U191(tt(), XS) -> pair#(nil(), XS), pair#(X1, mark X2) -> pair#(X1, X2)) (active# U191(tt(), XS) -> pair#(nil(), XS), pair#(mark X1, X2) -> pair#(X1, X2)) (active# U191(tt(), XS) -> pair#(nil(), XS), pair#(ok X1, ok X2) -> pair#(X1, X2)) (active# take(N, XS) -> U221#(isNatural N, N, XS), U221#(mark X1, X2, X3) -> U221#(X1, X2, X3)) (active# take(N, XS) -> U221#(isNatural N, N, XS), U221#(ok X1, ok X2, ok X3) -> U221#(X1, X2, X3)) (active# afterNth(N, XS) -> U11#(isNatural N, N, XS), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (active# afterNth(N, XS) -> U11#(isNatural N, N, XS), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS), U172#(mark X1, X2, X3) -> U172#(X1, X2, X3)) (active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS), U172#(ok X1, ok X2, ok X3) -> U172#(X1, X2, X3)) (active# fst pair(X, Y) -> U21#(isLNat X, X, Y), U21#(mark X1, X2, X3) -> U21#(X1, X2, X3)) (active# fst pair(X, Y) -> U21#(isLNat X, X, Y), U21#(ok X1, ok X2, ok X3) -> U21#(X1, X2, X3)) (active# natsFrom N -> U161#(isNatural N, N), U161#(mark X1, X2) -> U161#(X1, X2)) (active# natsFrom N -> U161#(isNatural N, N), U161#(ok X1, ok X2) -> U161#(X1, X2)) (U31#(mark X1, X2, X3) -> U31#(X1, X2, X3), U31#(mark X1, X2, X3) -> U31#(X1, X2, X3)) (U31#(mark X1, X2, X3) -> U31#(X1, X2, X3), U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3)) (U221#(mark X1, X2, X3) -> U221#(X1, X2, X3), U221#(mark X1, X2, X3) -> U221#(X1, X2, X3)) (U221#(mark X1, X2, X3) -> U221#(X1, X2, X3), U221#(ok X1, ok X2, ok X3) -> U221#(X1, X2, X3)) (U222#(mark X1, X2, X3) -> U222#(X1, X2, X3), U222#(mark X1, X2, X3) -> U222#(X1, X2, X3)) (U222#(mark X1, X2, X3) -> U222#(X1, X2, X3), U222#(ok X1, ok X2, ok X3) -> U222#(X1, X2, X3)) (U21#(mark X1, X2, X3) -> U21#(X1, X2, X3), U21#(mark X1, X2, X3) -> U21#(X1, X2, X3)) (U21#(mark X1, X2, X3) -> U21#(X1, X2, X3), U21#(ok X1, ok X2, ok X3) -> U21#(X1, X2, X3)) (U171#(mark X1, X2, X3) -> U171#(X1, X2, X3), U171#(mark X1, X2, X3) -> U171#(X1, X2, X3)) (U171#(mark X1, X2, X3) -> U171#(X1, X2, X3), U171#(ok X1, ok X2, ok X3) -> U171#(X1, X2, X3)) (U172#(mark X1, X2, X3) -> U172#(X1, X2, X3), U172#(mark X1, X2, X3) -> U172#(X1, X2, X3)) (U172#(mark X1, X2, X3) -> U172#(X1, X2, X3), U172#(ok X1, ok X2, ok X3) -> U172#(X1, X2, X3)) (U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)) (U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)) (active# U221(X1, X2, X3) -> U221#(active X1, X2, X3), U221#(mark X1, X2, X3) -> U221#(X1, X2, X3)) (active# U221(X1, X2, X3) -> U221#(active X1, X2, X3), U221#(ok X1, ok X2, ok X3) -> U221#(X1, X2, X3)) (active# U21(X1, X2, X3) -> U21#(active X1, X2, X3), U21#(mark X1, X2, X3) -> U21#(X1, X2, X3)) (active# U21(X1, X2, X3) -> U21#(active X1, X2, X3), U21#(ok X1, ok X2, ok X3) -> U21#(X1, X2, X3)) (active# U172(X1, X2, X3) -> U172#(active X1, X2, X3), U172#(mark X1, X2, X3) -> U172#(X1, X2, X3)) (active# U172(X1, X2, X3) -> U172#(active X1, X2, X3), U172#(ok X1, ok X2, ok X3) -> U172#(X1, X2, X3)) (active# U12(X1, X2, X3) -> U12#(active X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)) (active# U12(X1, X2, X3) -> U12#(active X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)) (active# U172(tt(), N, XS) -> head# afterNth(N, XS), head# mark X -> head# X) (active# U172(tt(), N, XS) -> head# afterNth(N, XS), head# ok X -> head# X) (active# U51(tt(), V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# U151(tt(), V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# U131(tt(), V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# U31(tt(), N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# U211(tt(), XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# U171(tt(), N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# U11(tt(), N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# sel(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# tail cons(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# head cons(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# natsFrom N -> isNatural# N, isNatural# ok X -> isNatural# X) (active# U51(tt(), V2) -> U52# isLNat V2, U52# mark X -> U52# X) (active# U51(tt(), V2) -> U52# isLNat V2, U52# ok X -> U52# X) (active# U151(tt(), V2) -> U152# isLNat V2, U152# mark X -> U152# X) (active# U151(tt(), V2) -> U152# isLNat V2, U152# ok X -> U152# X) (active# U131(tt(), V2) -> U132# isLNat V2, U132# mark X -> U132# X) (active# U131(tt(), V2) -> U132# isLNat V2, U132# ok X -> U132# X) (active# U161(tt(), N) -> natsFrom# s N, natsFrom# mark X -> natsFrom# X) (active# U161(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# U81 X -> U81# proper X, U81# mark X -> U81# X) (proper# U81 X -> U81# proper X, U81# ok X -> U81# X) (proper# U61 X -> U61# proper X, U61# mark X -> U61# X) (proper# U61 X -> U61# proper X, U61# ok X -> U61# X) (proper# U42 X -> U42# proper X, U42# mark X -> U42# X) (proper# U42 X -> U42# proper X, U42# ok X -> U42# 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# U152 X -> U152# proper X, U152# mark X -> U152# X) (proper# U152 X -> U152# proper X, U152# ok X -> U152# X) (proper# U132 X -> U132# proper X, U132# mark X -> U132# X) (proper# U132 X -> U132# proper X, U132# ok X -> U132# X) (proper# snd X -> snd# proper X, snd# mark X -> snd# X) (proper# snd X -> snd# proper X, snd# ok X -> snd# X) (proper# isLNat X -> isLNat# proper X, isLNat# ok X -> isLNat# X) (active# tail X -> tail# active X, tail# mark X -> tail# X) (active# tail X -> tail# active X, tail# ok X -> tail# X) (active# U81 X -> U81# active X, U81# mark X -> U81# X) (active# U81 X -> U81# active X, U81# ok X -> U81# X) (active# U61 X -> U61# active X, U61# mark X -> U61# X) (active# U61 X -> U61# active X, U61# ok X -> U61# X) (active# U42 X -> U42# active X, U42# mark X -> U42# X) (active# U42 X -> U42# active X, U42# ok X -> U42# X) (active# head X -> head# active X, head# mark X -> head# X) (active# head X -> head# active X, head# ok X -> head# X) (active# natsFrom X -> natsFrom# active X, natsFrom# mark X -> natsFrom# X) (active# natsFrom X -> natsFrom# active X, natsFrom# ok X -> natsFrom# X) (active# U142 X -> U142# active X, U142# mark X -> U142# X) (active# U142 X -> U142# active X, U142# ok X -> U142# X) (active# U121 X -> U121# active X, U121# mark X -> U121# X) (active# U121 X -> U121# active X, U121# ok X -> U121# X) (active# U111 X -> U111# active X, U111# mark X -> U111# X) (active# U111 X -> U111# active X, U111# ok X -> U111# X) (active# isNatural head V1 -> U111# isLNat V1, U111# mark X -> U111# X) (active# isNatural head V1 -> U111# isLNat V1, U111# ok X -> U111# X) (active# isLNat tail V1 -> U91# isLNat V1, U91# mark X -> U91# X) (active# isLNat tail V1 -> U91# isLNat V1, U91# ok X -> U91# X) (active# isLNat natsFrom V1 -> U71# isNatural V1, U71# mark X -> U71# X) (active# isLNat natsFrom V1 -> U71# isNatural V1, U71# ok X -> U71# X) (active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2), U141#(mark X1, X2) -> U141#(X1, X2)) (active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2), U141#(ok X1, ok X2) -> U141#(X1, X2)) (active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2), U131#(mark X1, X2) -> U131#(X1, X2)) (active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2), U131#(ok X1, ok X2) -> U131#(X1, X2)) (active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2), U41#(mark X1, X2) -> U41#(X1, X2)) (active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2), U41#(ok X1, ok X2) -> U41#(X1, X2)) (active# U21(tt(), X, Y) -> isLNat# Y, isLNat# ok X -> isLNat# X) (top# ok X -> active# X, active# U102 X -> U102# active X) (top# ok X -> active# X, active# U102 X -> active# X) (top# ok X -> active# X, active# isLNat snd V1 -> U81# isPLNat V1) (top# ok X -> active# X, active# isLNat snd V1 -> isPLNat# V1) (top# ok X -> active# X, active# isLNat cons(V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (top# ok X -> active# X, active# isLNat natsFrom V1 -> isNatural# V1) (top# ok X -> active# X, active# isLNat natsFrom V1 -> U71# isNatural V1) (top# ok X -> active# X, active# isLNat afterNth(V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (top# ok X -> active# X, active# isLNat fst V1 -> U61# isPLNat V1) (top# ok X -> active# X, active# isLNat fst V1 -> isPLNat# V1) (top# ok X -> active# X, active# isLNat tail V1 -> isLNat# V1) (top# ok X -> active# X, active# isLNat tail V1 -> U91# isLNat V1) (top# ok X -> active# X, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (top# ok X -> active# X, active# isLNat take(V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# U101(X1, X2) -> active# X1) (top# ok X -> active# X, active# U101(X1, X2) -> U101#(active X1, X2)) (top# ok X -> active# X, active# U101(tt(), V2) -> U102# isLNat V2) (top# ok X -> active# X, active# U101(tt(), V2) -> isLNat# V2) (top# ok X -> active# X, active# U12(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (top# ok X -> active# X, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (top# ok X -> active# X, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (top# ok X -> active# X, active# U11(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (top# ok X -> active# X, active# U11(tt(), N, XS) -> isLNat# XS) (top# ok X -> active# X, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (top# ok X -> active# X, active# U111 X -> active# X) (top# ok X -> active# X, active# U111 X -> U111# active X) (top# ok X -> active# X, active# snd X -> active# X) (top# ok X -> active# X, active# snd X -> snd# active X) (top# ok X -> active# X, active# snd pair(X, Y) -> isLNat# X) (top# ok X -> active# X, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (top# ok X -> active# X, active# splitAt(X1, X2) -> active# X1) (top# ok X -> active# X, active# splitAt(X1, X2) -> active# X2) (top# ok X -> active# X, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (top# ok X -> active# X, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (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)) -> U201#(isNatural N, N, X, XS)) (top# ok X -> active# X, active# splitAt(0(), XS) -> isLNat# XS) (top# ok X -> active# X, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (top# ok X -> active# X, active# U121 X -> active# X) (top# ok X -> active# X, active# U121 X -> U121# active X) (top# ok X -> active# X, active# U132 X -> active# X) (top# ok X -> active# X, active# U132 X -> U132# active X) (top# ok X -> active# X, active# U131(X1, X2) -> active# X1) (top# ok X -> active# X, active# U131(X1, X2) -> U131#(active X1, X2)) (top# ok X -> active# X, active# U131(tt(), V2) -> isLNat# V2) (top# ok X -> active# X, active# U131(tt(), V2) -> U132# isLNat V2) (top# ok X -> active# X, active# U142 X -> active# X) (top# ok X -> active# X, active# U142 X -> U142# active X) (top# ok X -> active# X, active# U141(X1, X2) -> active# X1) (top# ok X -> active# X, active# U141(X1, X2) -> U141#(active X1, X2)) (top# ok X -> active# X, active# U141(tt(), V2) -> isLNat# V2) (top# ok X -> active# X, active# U141(tt(), V2) -> U142# isLNat V2) (top# ok X -> active# X, active# U152 X -> active# X) (top# ok X -> active# X, active# U152 X -> U152# active X) (top# ok X -> active# X, active# U151(X1, X2) -> active# X1) (top# ok X -> active# X, active# U151(X1, X2) -> U151#(active X1, X2)) (top# ok X -> active# X, active# U151(tt(), V2) -> isLNat# V2) (top# ok X -> active# X, active# U151(tt(), V2) -> U152# isLNat V2) (top# ok X -> active# X, active# cons(X1, X2) -> active# X1) (top# ok X -> active# X, active# cons(X1, X2) -> cons#(active X1, X2)) (top# ok X -> active# X, active# natsFrom N -> U161#(isNatural N, N)) (top# ok X -> active# X, active# natsFrom N -> isNatural# N) (top# ok X -> active# X, active# natsFrom X -> active# X) (top# ok X -> active# X, active# natsFrom X -> natsFrom# active X) (top# ok X -> active# X, active# s X -> active# X) (top# ok X -> active# X, active# s X -> s# active X) (top# ok X -> active# X, active# U161(X1, X2) -> active# X1) (top# ok X -> active# X, active# U161(X1, X2) -> U161#(active X1, X2)) (top# ok X -> active# X, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (top# ok X -> active# X, active# U161(tt(), N) -> natsFrom# s N) (top# ok X -> active# X, active# U161(tt(), N) -> s# N) (top# ok X -> active# X, active# U172(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (top# ok X -> active# X, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (top# ok X -> active# X, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (top# ok X -> active# X, active# U171(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (top# ok X -> active# X, active# U171(tt(), N, XS) -> isLNat# XS) (top# ok X -> active# X, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (top# ok X -> active# X, active# head X -> active# X) (top# ok X -> active# X, active# head X -> head# active X) (top# ok X -> active# X, active# head cons(N, XS) -> isNatural# N) (top# ok X -> active# X, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (top# ok X -> active# X, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (top# ok X -> active# X, active# afterNth(N, XS) -> isNatural# N) (top# ok X -> active# X, active# afterNth(X1, X2) -> active# X1) (top# ok X -> active# X, active# afterNth(X1, X2) -> active# X2) (top# ok X -> active# X, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (top# ok X -> active# X, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (top# ok X -> active# X, active# U182(X1, X2) -> active# X1) (top# ok X -> active# X, active# U182(X1, X2) -> U182#(active X1, X2)) (top# ok X -> active# X, active# U181(X1, X2) -> active# X1) (top# ok X -> active# X, active# U181(X1, X2) -> U181#(active X1, X2)) (top# ok X -> active# X, active# U181(tt(), Y) -> isLNat# Y) (top# ok X -> active# X, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (top# ok X -> active# X, active# pair(X1, X2) -> active# X1) (top# ok X -> active# X, active# pair(X1, X2) -> active# X2) (top# ok X -> active# X, active# pair(X1, X2) -> pair#(X1, active X2)) (top# ok X -> active# X, active# pair(X1, X2) -> pair#(active X1, X2)) (top# ok X -> active# X, active# U191(X1, X2) -> active# X1) (top# ok X -> active# X, active# U191(X1, X2) -> U191#(active X1, X2)) (top# ok X -> active# X, active# U191(tt(), XS) -> pair#(nil(), XS)) (top# ok X -> active# X, active# U202(X1, X2, X3, X4) -> active# X1) (top# ok X -> active# X, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (top# ok X -> active# X, active# U202(tt(), N, X, XS) -> isLNat# XS) (top# ok X -> active# X, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (top# ok X -> active# X, active# isNatural s V1 -> U121# isNatural V1) (top# ok X -> active# X, active# isNatural s V1 -> isNatural# V1) (top# ok X -> active# X, active# isNatural head V1 -> isLNat# V1) (top# ok X -> active# X, active# isNatural head V1 -> U111# isLNat V1) (top# ok X -> active# X, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (top# ok X -> active# X, active# isNatural sel(V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# U201(X1, X2, X3, X4) -> active# X1) (top# ok X -> active# X, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (top# ok X -> active# X, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (top# ok X -> active# X, active# U201(tt(), N, X, XS) -> isNatural# X) (top# ok X -> active# X, active# U203(X1, X2, X3, X4) -> active# X1) (top# ok X -> active# X, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (top# ok X -> active# X, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (top# ok X -> active# X, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (top# ok X -> active# X, active# U204(X1, X2) -> active# X1) (top# ok X -> active# X, active# U204(X1, X2) -> U204#(active X1, X2)) (top# ok X -> active# X, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (top# ok X -> active# X, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (top# ok X -> active# X, active# U22(X1, X2) -> active# X1) (top# ok X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2)) (top# ok X -> active# X, active# U21(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (top# ok X -> active# X, active# U21(tt(), X, Y) -> isLNat# Y) (top# ok X -> active# X, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (top# ok X -> active# X, active# U212(X1, X2) -> active# X1) (top# ok X -> active# X, active# U212(X1, X2) -> U212#(active X1, X2)) (top# ok X -> active# X, active# U211(X1, X2) -> active# X1) (top# ok X -> active# X, active# U211(X1, X2) -> U211#(active X1, X2)) (top# ok X -> active# X, active# U211(tt(), XS) -> isLNat# XS) (top# ok X -> active# X, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (top# ok X -> active# X, active# U222(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (top# ok X -> active# X, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (top# ok X -> active# X, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (top# ok X -> active# X, active# U221(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (top# ok X -> active# X, active# U221(tt(), N, XS) -> isLNat# XS) (top# ok X -> active# X, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (top# ok X -> active# X, active# fst X -> active# X) (top# ok X -> active# X, active# fst X -> fst# active X) (top# ok X -> active# X, active# fst pair(X, Y) -> isLNat# X) (top# ok X -> active# X, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (top# ok X -> active# X, active# U32(X1, X2) -> active# X1) (top# ok X -> active# X, active# U32(X1, X2) -> U32#(active X1, X2)) (top# ok X -> active# X, active# U31(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (top# ok X -> active# X, active# U31(tt(), N, XS) -> isLNat# XS) (top# ok X -> active# X, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (top# ok X -> active# X, active# U42 X -> active# X) (top# ok X -> active# X, active# U42 X -> U42# active X) (top# ok X -> active# X, active# U41(X1, X2) -> active# X1) (top# ok X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2)) (top# ok X -> active# X, active# U41(tt(), V2) -> isLNat# V2) (top# ok X -> active# X, active# U41(tt(), V2) -> U42# isLNat V2) (top# ok X -> active# X, active# U52 X -> active# X) (top# ok X -> active# X, active# U52 X -> U52# active X) (top# ok X -> active# X, active# U51(X1, X2) -> active# X1) (top# ok X -> active# X, active# U51(X1, X2) -> U51#(active X1, X2)) (top# ok X -> active# X, active# U51(tt(), V2) -> isLNat# V2) (top# ok X -> active# X, active# U51(tt(), V2) -> U52# isLNat V2) (top# ok X -> active# X, active# U61 X -> active# X) (top# ok X -> active# X, active# U61 X -> U61# active X) (top# ok X -> active# X, active# U71 X -> active# X) (top# ok X -> active# X, active# U71 X -> U71# active X) (top# ok X -> active# X, active# U81 X -> active# X) (top# ok X -> active# X, active# U81 X -> U81# active X) (top# ok X -> active# X, active# U91 X -> active# X) (top# ok X -> active# X, active# U91 X -> U91# active X) (top# ok X -> active# X, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (top# ok X -> active# X, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# isPLNat pair(V1, V2) -> isLNat# V1) (top# ok X -> active# X, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (top# ok X -> active# X, active# tail X -> active# X) (top# ok X -> active# X, active# tail X -> tail# active X) (top# ok X -> active# X, active# tail cons(N, XS) -> isNatural# N) (top# ok X -> active# X, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (top# ok X -> active# X, active# take(N, XS) -> isNatural# N) (top# ok X -> active# X, active# take(N, XS) -> U221#(isNatural N, N, XS)) (top# ok X -> active# X, active# take(X1, X2) -> active# X1) (top# ok X -> active# X, active# take(X1, X2) -> active# X2) (top# ok X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (top# ok X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (top# ok X -> active# X, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (top# ok X -> active# X, active# sel(N, XS) -> isNatural# N) (top# ok X -> active# X, active# sel(X1, X2) -> active# X1) (top# ok X -> active# X, active# sel(X1, X2) -> active# X2) (top# ok X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (top# ok X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (proper# tail X -> proper# X, proper# U102 X -> U102# proper X) (proper# tail X -> proper# X, proper# U102 X -> proper# X) (proper# tail X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# tail X -> proper# X, proper# isLNat X -> proper# X) (proper# tail X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U111 X -> U111# proper X) (proper# tail X -> proper# X, proper# U111 X -> proper# X) (proper# tail X -> proper# X, proper# snd X -> snd# proper X) (proper# tail X -> proper# X, proper# snd X -> proper# X) (proper# tail X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U121 X -> U121# proper X) (proper# tail X -> proper# X, proper# U121 X -> proper# X) (proper# tail X -> proper# X, proper# U132 X -> U132# proper X) (proper# tail X -> proper# X, proper# U132 X -> proper# X) (proper# tail X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U142 X -> U142# proper X) (proper# tail X -> proper# X, proper# U142 X -> proper# X) (proper# tail X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U152 X -> U152# proper X) (proper# tail X -> proper# X, proper# U152 X -> proper# X) (proper# tail X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# tail X -> proper# X, proper# natsFrom X -> proper# X) (proper# tail X -> proper# X, proper# s X -> s# proper X) (proper# tail X -> proper# X, proper# s X -> proper# X) (proper# tail X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# head X -> head# proper X) (proper# tail X -> proper# X, proper# head X -> proper# X) (proper# tail X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# tail X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# tail X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# tail X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# tail X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# tail X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# tail X -> proper# X, proper# isNatural X -> proper# X) (proper# tail X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# tail X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# tail X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# tail X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# tail X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# tail X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# tail X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# tail X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# tail X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# tail X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# tail X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# fst X -> fst# proper X) (proper# tail X -> proper# X, proper# fst X -> proper# X) (proper# tail X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U42 X -> U42# proper X) (proper# tail X -> proper# X, proper# U42 X -> proper# X) (proper# tail X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U52 X -> U52# proper X) (proper# tail X -> proper# X, proper# U52 X -> proper# X) (proper# tail X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U61 X -> U61# proper X) (proper# tail X -> proper# X, proper# U61 X -> proper# X) (proper# tail X -> proper# X, proper# U71 X -> U71# proper X) (proper# tail X -> proper# X, proper# U71 X -> proper# X) (proper# tail X -> proper# X, proper# U81 X -> U81# proper X) (proper# tail X -> proper# X, proper# U81 X -> proper# X) (proper# tail X -> proper# X, proper# U91 X -> U91# proper X) (proper# tail X -> proper# X, proper# U91 X -> proper# X) (proper# tail X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# tail X -> proper# X, proper# isPLNat X -> proper# X) (proper# tail X -> proper# X, proper# tail X -> tail# proper X) (proper# tail X -> proper# X, proper# tail X -> proper# X) (proper# tail X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U102 X -> U102# proper X) (proper# U91 X -> proper# X, proper# U102 X -> proper# X) (proper# U91 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U91 X -> proper# X, proper# isLNat X -> proper# X) (proper# U91 X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U91 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# U91 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# U91 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# U91 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U91 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U91 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U91 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U91 X -> proper# X, proper# U111 X -> U111# proper X) (proper# U91 X -> proper# X, proper# U111 X -> proper# X) (proper# U91 X -> proper# X, proper# snd X -> snd# proper X) (proper# U91 X -> proper# X, proper# snd X -> proper# X) (proper# U91 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U121 X -> U121# proper X) (proper# U91 X -> proper# X, proper# U121 X -> proper# X) (proper# U91 X -> proper# X, proper# U132 X -> U132# proper X) (proper# U91 X -> proper# X, proper# U132 X -> proper# X) (proper# U91 X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U142 X -> U142# proper X) (proper# U91 X -> proper# X, proper# U142 X -> proper# X) (proper# U91 X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U152 X -> U152# proper X) (proper# U91 X -> proper# X, proper# U152 X -> proper# X) (proper# U91 X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U91 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U91 X -> proper# X, proper# s X -> s# proper X) (proper# U91 X -> proper# X, proper# s X -> proper# X) (proper# U91 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U91 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# U91 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# U91 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# U91 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U91 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U91 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U91 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U91 X -> proper# X, proper# head X -> head# proper X) (proper# U91 X -> proper# X, proper# head X -> proper# X) (proper# U91 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U91 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U91 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U91 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U91 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U91 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U91 X -> proper# X, proper# isNatural X -> proper# X) (proper# U91 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U91 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U91 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U91 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U91 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U91 X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U91 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U91 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U91 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U91 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U91 X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U91 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# U91 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# U91 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# U91 X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U91 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# U91 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# U91 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# U91 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U91 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U91 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U91 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U91 X -> proper# X, proper# fst X -> fst# proper X) (proper# U91 X -> proper# X, proper# fst X -> proper# X) (proper# U91 X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U91 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# U91 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# U91 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# U91 X -> proper# X, proper# U42 X -> U42# proper X) (proper# U91 X -> proper# X, proper# U42 X -> proper# X) (proper# U91 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U52 X -> U52# proper X) (proper# U91 X -> proper# X, proper# U52 X -> proper# X) (proper# U91 X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# U61 X -> U61# proper X) (proper# U91 X -> proper# X, proper# U61 X -> proper# X) (proper# U91 X -> proper# X, proper# U71 X -> U71# proper X) (proper# U91 X -> proper# X, proper# U71 X -> proper# X) (proper# U91 X -> proper# X, proper# U81 X -> U81# proper X) (proper# U91 X -> proper# X, proper# U81 X -> proper# X) (proper# U91 X -> proper# X, proper# U91 X -> U91# proper X) (proper# U91 X -> proper# X, proper# U91 X -> proper# X) (proper# U91 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U91 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U91 X -> proper# X, proper# tail X -> tail# proper X) (proper# U91 X -> proper# X, proper# tail X -> proper# X) (proper# U91 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U91 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U91 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U91 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U102 X -> U102# proper X) (proper# U71 X -> proper# X, proper# U102 X -> proper# X) (proper# U71 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U71 X -> proper# X, proper# isLNat X -> proper# X) (proper# U71 X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U71 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# U71 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# U71 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# U71 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U71 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U71 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U71 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U71 X -> proper# X, proper# U111 X -> U111# proper X) (proper# U71 X -> proper# X, proper# U111 X -> proper# X) (proper# U71 X -> proper# X, proper# snd X -> snd# proper X) (proper# U71 X -> proper# X, proper# snd X -> proper# X) (proper# U71 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U121 X -> U121# proper X) (proper# U71 X -> proper# X, proper# U121 X -> proper# X) (proper# U71 X -> proper# X, proper# U132 X -> U132# proper X) (proper# U71 X -> proper# X, proper# U132 X -> proper# X) (proper# U71 X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U142 X -> U142# proper X) (proper# U71 X -> proper# X, proper# U142 X -> proper# X) (proper# U71 X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U152 X -> U152# proper X) (proper# U71 X -> proper# X, proper# U152 X -> proper# X) (proper# U71 X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U71 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U71 X -> proper# X, proper# s X -> s# proper X) (proper# U71 X -> proper# X, proper# s X -> proper# X) (proper# U71 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U71 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# U71 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# U71 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# U71 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U71 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U71 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U71 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U71 X -> proper# X, proper# head X -> head# proper X) (proper# U71 X -> proper# X, proper# head X -> proper# X) (proper# U71 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U71 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U71 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U71 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U71 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U71 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U71 X -> proper# X, proper# isNatural X -> proper# X) (proper# U71 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U71 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U71 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U71 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U71 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U71 X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U71 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U71 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U71 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U71 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U71 X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U71 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# U71 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# U71 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# U71 X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U71 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# U71 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# U71 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# U71 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U71 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U71 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U71 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U71 X -> proper# X, proper# fst X -> fst# proper X) (proper# U71 X -> proper# X, proper# fst X -> proper# X) (proper# U71 X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U71 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# U71 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# U71 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# U71 X -> proper# X, proper# U42 X -> U42# proper X) (proper# U71 X -> proper# X, proper# U42 X -> proper# X) (proper# U71 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U52 X -> U52# proper X) (proper# U71 X -> proper# X, proper# U52 X -> proper# X) (proper# U71 X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# U61 X -> U61# proper X) (proper# U71 X -> proper# X, proper# U61 X -> proper# X) (proper# U71 X -> proper# X, proper# U71 X -> U71# proper X) (proper# U71 X -> proper# X, proper# U71 X -> proper# X) (proper# U71 X -> proper# X, proper# U81 X -> U81# proper X) (proper# U71 X -> proper# X, proper# U81 X -> proper# X) (proper# U71 X -> proper# X, proper# U91 X -> U91# proper X) (proper# U71 X -> proper# X, proper# U91 X -> proper# X) (proper# U71 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U71 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U71 X -> proper# X, proper# tail X -> tail# proper X) (proper# U71 X -> proper# X, proper# tail X -> proper# X) (proper# U71 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U71 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U71 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U71 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U102 X -> U102# proper X) (proper# U52 X -> proper# X, proper# U102 X -> proper# X) (proper# U52 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U52 X -> proper# X, proper# isLNat X -> proper# X) (proper# U52 X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U52 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# U52 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# U52 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# U52 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U52 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U52 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U52 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U52 X -> proper# X, proper# U111 X -> U111# proper X) (proper# U52 X -> proper# X, proper# U111 X -> proper# X) (proper# U52 X -> proper# X, proper# snd X -> snd# proper X) (proper# U52 X -> proper# X, proper# snd X -> proper# X) (proper# U52 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U121 X -> U121# proper X) (proper# U52 X -> proper# X, proper# U121 X -> proper# X) (proper# U52 X -> proper# X, proper# U132 X -> U132# proper X) (proper# U52 X -> proper# X, proper# U132 X -> proper# X) (proper# U52 X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U142 X -> U142# proper X) (proper# U52 X -> proper# X, proper# U142 X -> proper# X) (proper# U52 X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U152 X -> U152# proper X) (proper# U52 X -> proper# X, proper# U152 X -> proper# X) (proper# U52 X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U52 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U52 X -> proper# X, proper# s X -> s# proper X) (proper# U52 X -> proper# X, proper# s X -> proper# X) (proper# U52 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U52 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# U52 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# U52 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# U52 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U52 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U52 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U52 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U52 X -> proper# X, proper# head X -> head# proper X) (proper# U52 X -> proper# X, proper# head X -> proper# X) (proper# U52 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U52 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U52 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U52 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U52 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U52 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U52 X -> proper# X, proper# isNatural X -> proper# X) (proper# U52 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U52 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U52 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U52 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U52 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U52 X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U52 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U52 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U52 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U52 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U52 X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U52 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# U52 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# U52 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# U52 X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U52 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# U52 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# U52 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# U52 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U52 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U52 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U52 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U52 X -> proper# X, proper# fst X -> fst# proper X) (proper# U52 X -> proper# X, proper# fst X -> proper# X) (proper# U52 X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U52 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# U52 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# U52 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# U52 X -> proper# X, proper# U42 X -> U42# proper X) (proper# U52 X -> proper# X, proper# U42 X -> proper# X) (proper# U52 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U52 X -> U52# proper X) (proper# U52 X -> proper# X, proper# U52 X -> proper# X) (proper# U52 X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# U61 X -> U61# proper X) (proper# U52 X -> proper# X, proper# U61 X -> proper# X) (proper# U52 X -> proper# X, proper# U71 X -> U71# proper X) (proper# U52 X -> proper# X, proper# U71 X -> proper# X) (proper# U52 X -> proper# X, proper# U81 X -> U81# proper X) (proper# U52 X -> proper# X, proper# U81 X -> proper# X) (proper# U52 X -> proper# X, proper# U91 X -> U91# proper X) (proper# U52 X -> proper# X, proper# U91 X -> proper# X) (proper# U52 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U52 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U52 X -> proper# X, proper# tail X -> tail# proper X) (proper# U52 X -> proper# X, proper# tail X -> proper# X) (proper# U52 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U52 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U52 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U52 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U102 X -> U102# proper X) (proper# fst X -> proper# X, proper# U102 X -> proper# X) (proper# fst X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# fst X -> proper# X, proper# isLNat X -> proper# X) (proper# fst X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U111 X -> U111# proper X) (proper# fst X -> proper# X, proper# U111 X -> proper# X) (proper# fst X -> proper# X, proper# snd X -> snd# proper X) (proper# fst X -> proper# X, proper# snd X -> proper# X) (proper# fst X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U121 X -> U121# proper X) (proper# fst X -> proper# X, proper# U121 X -> proper# X) (proper# fst X -> proper# X, proper# U132 X -> U132# proper X) (proper# fst X -> proper# X, proper# U132 X -> proper# X) (proper# fst X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U142 X -> U142# proper X) (proper# fst X -> proper# X, proper# U142 X -> proper# X) (proper# fst X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U152 X -> U152# proper X) (proper# fst X -> proper# X, proper# U152 X -> proper# X) (proper# fst X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# fst X -> proper# X, proper# natsFrom X -> proper# X) (proper# fst X -> proper# X, proper# s X -> s# proper X) (proper# fst X -> proper# X, proper# s X -> proper# X) (proper# fst X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# head X -> head# proper X) (proper# fst X -> proper# X, proper# head X -> proper# X) (proper# fst X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# fst X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# fst X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# fst X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# fst X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# fst X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# fst X -> proper# X, proper# isNatural X -> proper# X) (proper# fst X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# fst X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# fst X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# fst X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# fst X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# fst X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# fst X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# fst X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# fst X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# fst X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# fst X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# fst X -> fst# proper X) (proper# fst X -> proper# X, proper# fst X -> proper# X) (proper# fst X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U42 X -> U42# proper X) (proper# fst X -> proper# X, proper# U42 X -> proper# X) (proper# fst X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U52 X -> U52# proper X) (proper# fst X -> proper# X, proper# U52 X -> proper# X) (proper# fst X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U61 X -> U61# proper X) (proper# fst X -> proper# X, proper# U61 X -> proper# X) (proper# fst X -> proper# X, proper# U71 X -> U71# proper X) (proper# fst X -> proper# X, proper# U71 X -> proper# X) (proper# fst X -> proper# X, proper# U81 X -> U81# proper X) (proper# fst X -> proper# X, proper# U81 X -> proper# X) (proper# fst X -> proper# X, proper# U91 X -> U91# proper X) (proper# fst X -> proper# X, proper# U91 X -> proper# X) (proper# fst X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# fst X -> proper# X, proper# isPLNat X -> proper# X) (proper# fst X -> proper# X, proper# tail X -> tail# proper X) (proper# fst X -> proper# X, proper# tail X -> proper# X) (proper# fst X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U102 X -> U102# proper X) (proper# head X -> proper# X, proper# U102 X -> proper# X) (proper# head X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# head X -> proper# X, proper# isLNat X -> proper# X) (proper# head X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U111 X -> U111# proper X) (proper# head X -> proper# X, proper# U111 X -> proper# X) (proper# head X -> proper# X, proper# snd X -> snd# proper X) (proper# head X -> proper# X, proper# snd X -> proper# X) (proper# head X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# head X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U121 X -> U121# proper X) (proper# head X -> proper# X, proper# U121 X -> proper# X) (proper# head X -> proper# X, proper# U132 X -> U132# proper X) (proper# head X -> proper# X, proper# U132 X -> proper# X) (proper# head X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U142 X -> U142# proper X) (proper# head X -> proper# X, proper# U142 X -> proper# X) (proper# head X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U152 X -> U152# proper X) (proper# head X -> proper# X, proper# U152 X -> proper# X) (proper# head X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# head X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# head X -> proper# X, proper# natsFrom X -> proper# X) (proper# head X -> proper# X, proper# s X -> s# proper X) (proper# head X -> proper# X, proper# s X -> proper# X) (proper# head X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# head X -> head# proper X) (proper# head X -> proper# X, proper# head X -> proper# X) (proper# head X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# head X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# head X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# head X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# head X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# head X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# head X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# head X -> proper# X, proper# isNatural X -> proper# X) (proper# head X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# head X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# head X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# head X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# head X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# head X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# head X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# head X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# head X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# head X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# head X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# fst X -> fst# proper X) (proper# head X -> proper# X, proper# fst X -> proper# X) (proper# head X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U42 X -> U42# proper X) (proper# head X -> proper# X, proper# U42 X -> proper# X) (proper# head X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U52 X -> U52# proper X) (proper# head X -> proper# X, proper# U52 X -> proper# X) (proper# head X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U61 X -> U61# proper X) (proper# head X -> proper# X, proper# U61 X -> proper# X) (proper# head X -> proper# X, proper# U71 X -> U71# proper X) (proper# head X -> proper# X, proper# U71 X -> proper# X) (proper# head X -> proper# X, proper# U81 X -> U81# proper X) (proper# head X -> proper# X, proper# U81 X -> proper# X) (proper# head X -> proper# X, proper# U91 X -> U91# proper X) (proper# head X -> proper# X, proper# U91 X -> proper# X) (proper# head X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# head X -> proper# X, proper# isPLNat X -> proper# X) (proper# head X -> proper# X, proper# tail X -> tail# proper X) (proper# head X -> proper# X, proper# tail X -> proper# X) (proper# head X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# head X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# head X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U102 X -> U102# proper X) (proper# natsFrom X -> proper# X, proper# U102 X -> proper# X) (proper# natsFrom X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# natsFrom X -> proper# X, proper# isLNat X -> proper# X) (proper# natsFrom X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U111 X -> U111# proper X) (proper# natsFrom X -> proper# X, proper# U111 X -> proper# X) (proper# natsFrom X -> proper# X, proper# snd X -> snd# proper X) (proper# natsFrom X -> proper# X, proper# snd X -> proper# X) (proper# natsFrom X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U121 X -> U121# proper X) (proper# natsFrom X -> proper# X, proper# U121 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U132 X -> U132# proper X) (proper# natsFrom X -> proper# X, proper# U132 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U142 X -> U142# proper X) (proper# natsFrom X -> proper# X, proper# U142 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U152 X -> U152# proper X) (proper# natsFrom X -> proper# X, proper# U152 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# natsFrom X -> proper# X, proper# natsFrom X -> proper# X) (proper# natsFrom X -> proper# X, proper# s X -> s# proper X) (proper# natsFrom X -> proper# X, proper# s X -> proper# X) (proper# natsFrom X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# head X -> head# proper X) (proper# natsFrom X -> proper# X, proper# head X -> proper# X) (proper# natsFrom X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# natsFrom X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# natsFrom X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# natsFrom X -> proper# X, proper# isNatural X -> proper# X) (proper# natsFrom X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# natsFrom X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# natsFrom X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# natsFrom X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# natsFrom X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# fst X -> fst# proper X) (proper# natsFrom X -> proper# X, proper# fst X -> proper# X) (proper# natsFrom X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U42 X -> U42# proper X) (proper# natsFrom X -> proper# X, proper# U42 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U52 X -> U52# proper X) (proper# natsFrom X -> proper# X, proper# U52 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U61 X -> U61# proper X) (proper# natsFrom X -> proper# X, proper# U61 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U71 X -> U71# proper X) (proper# natsFrom X -> proper# X, proper# U71 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U81 X -> U81# proper X) (proper# natsFrom X -> proper# X, proper# U81 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U91 X -> U91# proper X) (proper# natsFrom X -> proper# X, proper# U91 X -> proper# X) (proper# natsFrom X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# natsFrom X -> proper# X, proper# isPLNat X -> proper# X) (proper# natsFrom X -> proper# X, proper# tail X -> tail# proper X) (proper# natsFrom X -> proper# X, proper# tail X -> proper# X) (proper# natsFrom X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U102 X -> U102# proper X) (proper# U142 X -> proper# X, proper# U102 X -> proper# X) (proper# U142 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U142 X -> proper# X, proper# isLNat X -> proper# X) (proper# U142 X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U142 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# U142 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# U142 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# U142 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U142 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U142 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U142 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U142 X -> proper# X, proper# U111 X -> U111# proper X) (proper# U142 X -> proper# X, proper# U111 X -> proper# X) (proper# U142 X -> proper# X, proper# snd X -> snd# proper X) (proper# U142 X -> proper# X, proper# snd X -> proper# X) (proper# U142 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U121 X -> U121# proper X) (proper# U142 X -> proper# X, proper# U121 X -> proper# X) (proper# U142 X -> proper# X, proper# U132 X -> U132# proper X) (proper# U142 X -> proper# X, proper# U132 X -> proper# X) (proper# U142 X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U142 X -> U142# proper X) (proper# U142 X -> proper# X, proper# U142 X -> proper# X) (proper# U142 X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U152 X -> U152# proper X) (proper# U142 X -> proper# X, proper# U152 X -> proper# X) (proper# U142 X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U142 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U142 X -> proper# X, proper# s X -> s# proper X) (proper# U142 X -> proper# X, proper# s X -> proper# X) (proper# U142 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U142 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# U142 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# U142 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# U142 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U142 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U142 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U142 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U142 X -> proper# X, proper# head X -> head# proper X) (proper# U142 X -> proper# X, proper# head X -> proper# X) (proper# U142 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U142 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U142 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U142 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U142 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U142 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U142 X -> proper# X, proper# isNatural X -> proper# X) (proper# U142 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U142 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U142 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U142 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U142 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U142 X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U142 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U142 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U142 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U142 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U142 X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U142 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# U142 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# U142 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# U142 X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U142 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# U142 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# U142 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# U142 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U142 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U142 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U142 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U142 X -> proper# X, proper# fst X -> fst# proper X) (proper# U142 X -> proper# X, proper# fst X -> proper# X) (proper# U142 X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U142 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# U142 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# U142 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# U142 X -> proper# X, proper# U42 X -> U42# proper X) (proper# U142 X -> proper# X, proper# U42 X -> proper# X) (proper# U142 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U52 X -> U52# proper X) (proper# U142 X -> proper# X, proper# U52 X -> proper# X) (proper# U142 X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# U61 X -> U61# proper X) (proper# U142 X -> proper# X, proper# U61 X -> proper# X) (proper# U142 X -> proper# X, proper# U71 X -> U71# proper X) (proper# U142 X -> proper# X, proper# U71 X -> proper# X) (proper# U142 X -> proper# X, proper# U81 X -> U81# proper X) (proper# U142 X -> proper# X, proper# U81 X -> proper# X) (proper# U142 X -> proper# X, proper# U91 X -> U91# proper X) (proper# U142 X -> proper# X, proper# U91 X -> proper# X) (proper# U142 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U142 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U142 X -> proper# X, proper# tail X -> tail# proper X) (proper# U142 X -> proper# X, proper# tail X -> proper# X) (proper# U142 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U142 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U142 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U142 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U102 X -> U102# proper X) (proper# U121 X -> proper# X, proper# U102 X -> proper# X) (proper# U121 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U121 X -> proper# X, proper# isLNat X -> proper# X) (proper# U121 X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U121 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# U121 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# U121 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# U121 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U121 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U121 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U121 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U121 X -> proper# X, proper# U111 X -> U111# proper X) (proper# U121 X -> proper# X, proper# U111 X -> proper# X) (proper# U121 X -> proper# X, proper# snd X -> snd# proper X) (proper# U121 X -> proper# X, proper# snd X -> proper# X) (proper# U121 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U121 X -> U121# proper X) (proper# U121 X -> proper# X, proper# U121 X -> proper# X) (proper# U121 X -> proper# X, proper# U132 X -> U132# proper X) (proper# U121 X -> proper# X, proper# U132 X -> proper# X) (proper# U121 X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U142 X -> U142# proper X) (proper# U121 X -> proper# X, proper# U142 X -> proper# X) (proper# U121 X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U152 X -> U152# proper X) (proper# U121 X -> proper# X, proper# U152 X -> proper# X) (proper# U121 X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U121 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U121 X -> proper# X, proper# s X -> s# proper X) (proper# U121 X -> proper# X, proper# s X -> proper# X) (proper# U121 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U121 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# U121 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# U121 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# U121 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U121 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U121 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U121 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U121 X -> proper# X, proper# head X -> head# proper X) (proper# U121 X -> proper# X, proper# head X -> proper# X) (proper# U121 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U121 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U121 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U121 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U121 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U121 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U121 X -> proper# X, proper# isNatural X -> proper# X) (proper# U121 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U121 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U121 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U121 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U121 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U121 X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U121 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U121 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U121 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U121 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U121 X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U121 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# U121 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# U121 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# U121 X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U121 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# U121 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# U121 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# U121 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U121 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U121 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U121 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U121 X -> proper# X, proper# fst X -> fst# proper X) (proper# U121 X -> proper# X, proper# fst X -> proper# X) (proper# U121 X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U121 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# U121 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# U121 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# U121 X -> proper# X, proper# U42 X -> U42# proper X) (proper# U121 X -> proper# X, proper# U42 X -> proper# X) (proper# U121 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U52 X -> U52# proper X) (proper# U121 X -> proper# X, proper# U52 X -> proper# X) (proper# U121 X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# U61 X -> U61# proper X) (proper# U121 X -> proper# X, proper# U61 X -> proper# X) (proper# U121 X -> proper# X, proper# U71 X -> U71# proper X) (proper# U121 X -> proper# X, proper# U71 X -> proper# X) (proper# U121 X -> proper# X, proper# U81 X -> U81# proper X) (proper# U121 X -> proper# X, proper# U81 X -> proper# X) (proper# U121 X -> proper# X, proper# U91 X -> U91# proper X) (proper# U121 X -> proper# X, proper# U91 X -> proper# X) (proper# U121 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U121 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U121 X -> proper# X, proper# tail X -> tail# proper X) (proper# U121 X -> proper# X, proper# tail X -> proper# X) (proper# U121 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U121 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U121 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U121 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U102 X -> U102# proper X) (proper# U111 X -> proper# X, proper# U102 X -> proper# X) (proper# U111 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U111 X -> proper# X, proper# isLNat X -> proper# X) (proper# U111 X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U111 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# U111 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# U111 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# U111 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U111 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U111 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U111 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U111 X -> proper# X, proper# U111 X -> U111# proper X) (proper# U111 X -> proper# X, proper# U111 X -> proper# X) (proper# U111 X -> proper# X, proper# snd X -> snd# proper X) (proper# U111 X -> proper# X, proper# snd X -> proper# X) (proper# U111 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U121 X -> U121# proper X) (proper# U111 X -> proper# X, proper# U121 X -> proper# X) (proper# U111 X -> proper# X, proper# U132 X -> U132# proper X) (proper# U111 X -> proper# X, proper# U132 X -> proper# X) (proper# U111 X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U142 X -> U142# proper X) (proper# U111 X -> proper# X, proper# U142 X -> proper# X) (proper# U111 X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U152 X -> U152# proper X) (proper# U111 X -> proper# X, proper# U152 X -> proper# X) (proper# U111 X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U111 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U111 X -> proper# X, proper# s X -> s# proper X) (proper# U111 X -> proper# X, proper# s X -> proper# X) (proper# U111 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U111 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# U111 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# U111 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# U111 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U111 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U111 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U111 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U111 X -> proper# X, proper# head X -> head# proper X) (proper# U111 X -> proper# X, proper# head X -> proper# X) (proper# U111 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U111 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U111 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U111 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U111 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U111 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U111 X -> proper# X, proper# isNatural X -> proper# X) (proper# U111 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U111 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U111 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U111 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U111 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U111 X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U111 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U111 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U111 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U111 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U111 X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U111 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# U111 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# U111 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# U111 X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U111 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# U111 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# U111 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# U111 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U111 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U111 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U111 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U111 X -> proper# X, proper# fst X -> fst# proper X) (proper# U111 X -> proper# X, proper# fst X -> proper# X) (proper# U111 X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U111 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# U111 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# U111 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# U111 X -> proper# X, proper# U42 X -> U42# proper X) (proper# U111 X -> proper# X, proper# U42 X -> proper# X) (proper# U111 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U52 X -> U52# proper X) (proper# U111 X -> proper# X, proper# U52 X -> proper# X) (proper# U111 X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# U61 X -> U61# proper X) (proper# U111 X -> proper# X, proper# U61 X -> proper# X) (proper# U111 X -> proper# X, proper# U71 X -> U71# proper X) (proper# U111 X -> proper# X, proper# U71 X -> proper# X) (proper# U111 X -> proper# X, proper# U81 X -> U81# proper X) (proper# U111 X -> proper# X, proper# U81 X -> proper# X) (proper# U111 X -> proper# X, proper# U91 X -> U91# proper X) (proper# U111 X -> proper# X, proper# U91 X -> proper# X) (proper# U111 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U111 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U111 X -> proper# X, proper# tail X -> tail# proper X) (proper# U111 X -> proper# X, proper# tail X -> proper# X) (proper# U111 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U111 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U111 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U111 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U102 X -> U102# proper X) (proper# U102 X -> proper# X, proper# U102 X -> proper# X) (proper# U102 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U102 X -> proper# X, proper# isLNat X -> proper# X) (proper# U102 X -> proper# X, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U101(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U101(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U102 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# U102 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# U102 X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# U102 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U102 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U102 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U102 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U102 X -> proper# X, proper# U111 X -> U111# proper X) (proper# U102 X -> proper# X, proper# U111 X -> proper# X) (proper# U102 X -> proper# X, proper# snd X -> snd# proper X) (proper# U102 X -> proper# X, proper# snd X -> proper# X) (proper# U102 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U121 X -> U121# proper X) (proper# U102 X -> proper# X, proper# U121 X -> proper# X) (proper# U102 X -> proper# X, proper# U132 X -> U132# proper X) (proper# U102 X -> proper# X, proper# U132 X -> proper# X) (proper# U102 X -> proper# X, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U131(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U131(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U142 X -> U142# proper X) (proper# U102 X -> proper# X, proper# U142 X -> proper# X) (proper# U102 X -> proper# X, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U141(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U141(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U152 X -> U152# proper X) (proper# U102 X -> proper# X, proper# U152 X -> proper# X) (proper# U102 X -> proper# X, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U151(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U151(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U102 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U102 X -> proper# X, proper# s X -> s# proper X) (proper# U102 X -> proper# X, proper# s X -> proper# X) (proper# U102 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U102 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X1) (proper# U102 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X2) (proper# U102 X -> proper# X, proper# U172(X1, X2, X3) -> proper# X3) (proper# U102 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U102 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U102 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U102 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U102 X -> proper# X, proper# head X -> head# proper X) (proper# U102 X -> proper# X, proper# head X -> proper# X) (proper# U102 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U182(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U182(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U102 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U102 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U102 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U102 X -> proper# X, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U102 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U102 X -> proper# X, proper# isNatural X -> proper# X) (proper# U102 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U102 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U102 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U102 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U102 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U102 X -> proper# X, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U102 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U102 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U102 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U102 X -> proper# X, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U102 X -> proper# X, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U204(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U204(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U102 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X1) (proper# U102 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X2) (proper# U102 X -> proper# X, proper# U21(X1, X2, X3) -> proper# X3) (proper# U102 X -> proper# X, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U212(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U212(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U102 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X1) (proper# U102 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X2) (proper# U102 X -> proper# X, proper# U222(X1, X2, X3) -> proper# X3) (proper# U102 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U102 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U102 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U102 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U102 X -> proper# X, proper# fst X -> fst# proper X) (proper# U102 X -> proper# X, proper# fst X -> proper# X) (proper# U102 X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U102 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X1) (proper# U102 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X2) (proper# U102 X -> proper# X, proper# U31(X1, X2, X3) -> proper# X3) (proper# U102 X -> proper# X, proper# U42 X -> U42# proper X) (proper# U102 X -> proper# X, proper# U42 X -> proper# X) (proper# U102 X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U52 X -> U52# proper X) (proper# U102 X -> proper# X, proper# U52 X -> proper# X) (proper# U102 X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# U61 X -> U61# proper X) (proper# U102 X -> proper# X, proper# U61 X -> proper# X) (proper# U102 X -> proper# X, proper# U71 X -> U71# proper X) (proper# U102 X -> proper# X, proper# U71 X -> proper# X) (proper# U102 X -> proper# X, proper# U81 X -> U81# proper X) (proper# U102 X -> proper# X, proper# U81 X -> proper# X) (proper# U102 X -> proper# X, proper# U91 X -> U91# proper X) (proper# U102 X -> proper# X, proper# U91 X -> proper# X) (proper# U102 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U102 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U102 X -> proper# X, proper# tail X -> tail# proper X) (proper# U102 X -> proper# X, proper# tail X -> proper# X) (proper# U102 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U102 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U102 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U102 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (tail# mark X -> tail# X, tail# mark X -> tail# X) (tail# mark X -> tail# X, tail# ok X -> tail# X) (U91# ok X -> U91# X, U91# mark X -> U91# X) (U91# ok X -> U91# X, U91# ok X -> U91# X) (U81# ok X -> U81# X, U81# mark X -> U81# X) (U81# ok X -> U81# X, U81# ok X -> U81# X) (U71# ok X -> U71# X, U71# mark X -> U71# X) (U71# ok X -> U71# X, U71# ok X -> U71# X) (U61# ok X -> U61# X, U61# mark X -> U61# X) (U61# ok X -> U61# X, U61# ok X -> U61# X) (U52# ok X -> U52# X, U52# mark X -> U52# X) (U52# ok X -> U52# X, U52# ok X -> U52# X) (U42# ok X -> U42# X, U42# mark X -> U42# X) (U42# ok X -> U42# X, U42# ok X -> U42# X) (fst# ok X -> fst# X, fst# mark X -> fst# X) (fst# ok X -> fst# X, fst# ok X -> fst# X) (isNatural# ok X -> isNatural# X, isNatural# ok X -> isNatural# X) (head# mark X -> head# X, head# mark X -> head# X) (head# mark X -> head# X, head# ok X -> head# X) (s# mark X -> s# X, s# mark X -> s# X) (s# mark X -> s# X, s# ok X -> s# X) (natsFrom# mark X -> natsFrom# X, natsFrom# mark X -> natsFrom# X) (natsFrom# mark X -> natsFrom# X, natsFrom# ok X -> natsFrom# X) (U152# mark X -> U152# X, U152# mark X -> U152# X) (U152# mark X -> U152# X, U152# ok X -> U152# X) (U142# mark X -> U142# X, U142# mark X -> U142# X) (U142# mark X -> U142# X, U142# ok X -> U142# X) (U132# mark X -> U132# X, U132# mark X -> U132# X) (U132# mark X -> U132# X, U132# ok X -> U132# X) (U121# mark X -> U121# X, U121# mark X -> U121# X) (U121# mark X -> U121# X, U121# ok X -> U121# X) (snd# mark X -> snd# X, snd# mark X -> snd# X) (snd# mark X -> snd# X, snd# ok X -> snd# X) (U111# mark X -> U111# X, U111# mark X -> U111# X) (U111# mark X -> U111# X, U111# ok X -> U111# X) (active# U91 X -> active# X, active# U102 X -> U102# active X) (active# U91 X -> active# X, active# U102 X -> active# X) (active# U91 X -> active# X, active# isLNat snd V1 -> U81# isPLNat V1) (active# U91 X -> active# X, active# isLNat snd V1 -> isPLNat# V1) (active# U91 X -> active# X, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U91 X -> active# X, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U91 X -> active# X, active# isLNat natsFrom V1 -> isNatural# V1) (active# U91 X -> active# X, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U91 X -> active# X, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U91 X -> active# X, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U91 X -> active# X, active# isLNat fst V1 -> U61# isPLNat V1) (active# U91 X -> active# X, active# isLNat fst V1 -> isPLNat# V1) (active# U91 X -> active# X, active# isLNat tail V1 -> isLNat# V1) (active# U91 X -> active# X, active# isLNat tail V1 -> U91# isLNat V1) (active# U91 X -> active# X, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U91 X -> active# X, active# isLNat take(V1, V2) -> isNatural# V1) (active# U91 X -> active# X, active# U101(X1, X2) -> active# X1) (active# U91 X -> active# X, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U91 X -> active# X, active# U101(tt(), V2) -> U102# isLNat V2) (active# U91 X -> active# X, active# U101(tt(), V2) -> isLNat# V2) (active# U91 X -> active# X, active# U12(X1, X2, X3) -> active# X1) (active# U91 X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U91 X -> active# X, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U91 X -> active# X, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U91 X -> active# X, active# U11(X1, X2, X3) -> active# X1) (active# U91 X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U91 X -> active# X, active# U11(tt(), N, XS) -> isLNat# XS) (active# U91 X -> active# X, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U91 X -> active# X, active# U111 X -> active# X) (active# U91 X -> active# X, active# U111 X -> U111# active X) (active# U91 X -> active# X, active# snd X -> active# X) (active# U91 X -> active# X, active# snd X -> snd# active X) (active# U91 X -> active# X, active# snd pair(X, Y) -> isLNat# X) (active# U91 X -> active# X, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U91 X -> active# X, active# splitAt(X1, X2) -> active# X1) (active# U91 X -> active# X, active# splitAt(X1, X2) -> active# X2) (active# U91 X -> active# X, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U91 X -> active# X, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U91 X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U91 X -> active# X, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U91 X -> active# X, active# splitAt(0(), XS) -> isLNat# XS) (active# U91 X -> active# X, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U91 X -> active# X, active# U121 X -> active# X) (active# U91 X -> active# X, active# U121 X -> U121# active X) (active# U91 X -> active# X, active# U132 X -> active# X) (active# U91 X -> active# X, active# U132 X -> U132# active X) (active# U91 X -> active# X, active# U131(X1, X2) -> active# X1) (active# U91 X -> active# X, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U91 X -> active# X, active# U131(tt(), V2) -> isLNat# V2) (active# U91 X -> active# X, active# U131(tt(), V2) -> U132# isLNat V2) (active# U91 X -> active# X, active# U142 X -> active# X) (active# U91 X -> active# X, active# U142 X -> U142# active X) (active# U91 X -> active# X, active# U141(X1, X2) -> active# X1) (active# U91 X -> active# X, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U91 X -> active# X, active# U141(tt(), V2) -> isLNat# V2) (active# U91 X -> active# X, active# U141(tt(), V2) -> U142# isLNat V2) (active# U91 X -> active# X, active# U152 X -> active# X) (active# U91 X -> active# X, active# U152 X -> U152# active X) (active# U91 X -> active# X, active# U151(X1, X2) -> active# X1) (active# U91 X -> active# X, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U91 X -> active# X, active# U151(tt(), V2) -> isLNat# V2) (active# U91 X -> active# X, active# U151(tt(), V2) -> U152# isLNat V2) (active# U91 X -> active# X, active# cons(X1, X2) -> active# X1) (active# U91 X -> active# X, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U91 X -> active# X, active# natsFrom N -> U161#(isNatural N, N)) (active# U91 X -> active# X, active# natsFrom N -> isNatural# N) (active# U91 X -> active# X, active# natsFrom X -> active# X) (active# U91 X -> active# X, active# natsFrom 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take(V1, V2) -> isNatural# V1) (active# U132 X -> active# X, active# U101(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U132 X -> active# X, active# U101(tt(), V2) -> U102# isLNat V2) (active# U132 X -> active# X, active# U101(tt(), V2) -> isLNat# V2) (active# U132 X -> active# X, active# U12(X1, X2, X3) -> active# X1) (active# U132 X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U132 X -> active# X, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U132 X -> active# X, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U132 X -> active# X, active# U11(X1, X2, X3) -> active# X1) (active# U132 X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U132 X -> active# X, active# U11(tt(), N, XS) -> isLNat# XS) (active# U132 X -> active# X, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U132 X -> active# X, active# U111 X -> active# X) (active# U132 X -> active# X, active# U111 X -> U111# active X) (active# U132 X -> active# X, active# snd X -> active# X) (active# U132 X -> active# X, active# snd X -> snd# active X) (active# U132 X -> active# X, active# snd pair(X, Y) -> isLNat# X) (active# U132 X -> active# X, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U132 X -> active# X, active# splitAt(X1, X2) -> active# X1) (active# U132 X -> active# X, active# splitAt(X1, X2) -> active# X2) (active# U132 X -> active# X, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U132 X -> active# X, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U132 X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U132 X -> active# X, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U132 X -> active# X, active# splitAt(0(), XS) -> isLNat# XS) (active# U132 X -> active# X, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U132 X -> active# X, active# U121 X -> active# X) (active# U132 X -> active# X, active# U121 X -> U121# active X) (active# U132 X -> active# X, active# U132 X -> active# X) (active# U132 X -> active# X, active# U132 X -> U132# active X) (active# U132 X -> active# X, active# U131(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U132 X -> active# X, active# U131(tt(), V2) -> isLNat# V2) (active# U132 X -> active# X, active# U131(tt(), V2) -> U132# isLNat V2) (active# U132 X -> active# X, active# U142 X -> active# X) (active# U132 X -> active# X, active# U142 X -> U142# active X) (active# U132 X -> active# X, active# U141(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U132 X -> active# X, active# U141(tt(), V2) -> isLNat# V2) (active# U132 X -> active# X, active# U141(tt(), V2) -> U142# isLNat V2) (active# U132 X -> active# X, active# U152 X -> active# X) (active# U132 X -> active# X, active# U152 X -> U152# active X) (active# U132 X -> active# X, active# U151(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U132 X -> active# X, active# U151(tt(), V2) -> isLNat# V2) (active# U132 X -> active# X, active# U151(tt(), V2) -> U152# isLNat V2) (active# U132 X -> active# X, active# cons(X1, X2) -> active# X1) (active# U132 X -> active# X, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U132 X -> active# X, active# natsFrom N -> U161#(isNatural N, N)) (active# U132 X -> active# X, active# natsFrom N -> isNatural# N) (active# U132 X -> active# X, active# natsFrom X -> active# X) (active# U132 X -> active# X, active# natsFrom X -> natsFrom# active X) (active# U132 X -> active# X, active# s X -> active# X) (active# U132 X -> active# X, active# s X -> s# active X) (active# U132 X -> active# X, active# U161(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U132 X -> active# X, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U132 X -> active# X, active# U161(tt(), N) -> natsFrom# s N) (active# U132 X -> active# X, active# U161(tt(), N) -> s# N) (active# U132 X -> active# X, active# U172(X1, X2, X3) -> active# X1) (active# U132 X -> active# X, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U132 X -> active# X, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U132 X -> active# X, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U132 X -> active# X, active# U171(X1, X2, X3) -> active# X1) (active# U132 X -> active# X, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U132 X -> active# X, active# U171(tt(), N, XS) -> isLNat# XS) (active# U132 X -> active# X, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U132 X -> active# X, active# head X -> active# X) (active# U132 X -> active# X, active# head X -> head# active X) (active# U132 X -> active# X, active# head cons(N, XS) -> isNatural# N) (active# U132 X -> active# X, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U132 X -> active# X, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U132 X -> active# X, active# afterNth(N, XS) -> isNatural# N) (active# U132 X -> active# X, active# afterNth(X1, X2) -> active# X1) (active# U132 X -> active# X, active# afterNth(X1, X2) -> active# X2) (active# U132 X -> active# X, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U132 X -> active# X, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U132 X -> active# X, active# U182(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U132 X -> active# X, active# U181(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U132 X -> active# X, active# U181(tt(), Y) -> isLNat# Y) (active# U132 X -> active# X, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U132 X -> active# X, active# pair(X1, X2) -> active# X1) (active# U132 X -> active# X, active# pair(X1, X2) -> active# X2) (active# U132 X -> active# X, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U132 X -> active# X, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U132 X -> active# X, active# U191(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U132 X -> active# X, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U132 X -> active# X, active# U202(X1, X2, X3, X4) -> active# X1) (active# U132 X -> active# X, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U132 X -> active# X, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U132 X -> active# X, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U132 X -> active# X, active# isNatural s V1 -> U121# isNatural V1) (active# U132 X -> active# X, active# isNatural s V1 -> isNatural# V1) (active# U132 X -> active# X, active# isNatural head V1 -> isLNat# V1) (active# U132 X -> active# X, active# isNatural head V1 -> U111# isLNat V1) (active# U132 X -> active# X, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U132 X -> active# X, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U132 X -> active# X, active# U201(X1, X2, X3, X4) -> active# X1) (active# U132 X -> active# X, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U132 X -> active# X, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U132 X -> active# X, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U132 X -> active# X, active# U203(X1, X2, X3, X4) -> active# X1) (active# U132 X -> active# X, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U132 X -> active# X, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U132 X -> active# X, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U132 X -> active# X, active# U204(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U132 X -> active# X, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U132 X -> active# X, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U132 X -> active# X, active# U22(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U132 X -> active# X, active# U21(X1, X2, X3) -> active# X1) (active# U132 X -> active# X, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U132 X -> active# X, active# U21(tt(), X, Y) -> isLNat# Y) (active# U132 X -> active# X, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U132 X -> active# X, active# U212(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U132 X -> active# X, active# U211(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U132 X -> active# X, active# U211(tt(), XS) -> isLNat# XS) (active# U132 X -> active# X, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U132 X -> active# X, active# U222(X1, X2, X3) -> active# X1) (active# U132 X -> active# X, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U132 X -> active# X, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U132 X -> active# X, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U132 X -> active# X, active# U221(X1, X2, X3) -> active# X1) (active# U132 X -> active# X, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U132 X -> active# X, active# U221(tt(), N, XS) -> isLNat# XS) (active# U132 X -> active# X, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U132 X -> active# X, active# fst X -> active# X) (active# U132 X -> active# X, active# fst X -> fst# active X) (active# U132 X -> active# X, active# fst pair(X, Y) -> isLNat# X) (active# U132 X -> active# X, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U132 X -> active# X, active# U32(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U132 X -> active# X, active# U31(X1, X2, X3) -> active# X1) (active# U132 X -> active# X, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U132 X -> active# X, active# U31(tt(), N, XS) -> isLNat# XS) (active# U132 X -> active# X, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U132 X -> active# X, active# U42 X -> active# X) (active# U132 X -> active# X, active# U42 X -> U42# active X) (active# U132 X -> active# X, active# U41(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U132 X -> active# X, active# U41(tt(), V2) -> isLNat# V2) (active# U132 X -> active# X, active# U41(tt(), V2) -> U42# isLNat V2) (active# U132 X -> active# X, active# U52 X -> active# X) (active# U132 X -> active# X, active# U52 X -> U52# active X) (active# U132 X -> active# X, active# U51(X1, X2) -> active# X1) (active# U132 X -> active# X, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U132 X -> active# X, active# U51(tt(), V2) -> isLNat# V2) (active# U132 X -> active# X, active# U51(tt(), V2) -> U52# isLNat V2) (active# U132 X -> active# X, active# U61 X -> active# X) (active# U132 X -> active# X, active# U61 X -> U61# active X) (active# U132 X -> active# X, active# U71 X -> active# X) (active# U132 X -> active# X, active# U71 X -> U71# active X) (active# U132 X -> active# X, active# U81 X -> active# X) (active# U132 X -> active# X, active# U81 X -> U81# active X) (active# U132 X -> active# X, active# U91 X -> active# X) (active# U132 X -> active# X, active# U91 X -> U91# active X) (active# U132 X -> active# X, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U132 X -> active# X, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U132 X -> active# X, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U132 X -> active# X, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U132 X -> active# X, active# tail X -> active# X) (active# U132 X -> active# X, active# tail X -> tail# active X) (active# U132 X -> active# X, active# tail cons(N, XS) -> isNatural# N) (active# U132 X -> active# X, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U132 X -> active# X, active# take(N, XS) -> isNatural# N) (active# U132 X -> active# X, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U132 X -> active# X, active# take(X1, X2) -> active# X1) (active# U132 X -> active# X, active# take(X1, X2) -> active# X2) (active# U132 X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (active# U132 X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (active# U132 X -> active# X, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U132 X -> active# X, active# sel(N, XS) -> isNatural# N) (active# U132 X -> active# X, active# sel(X1, X2) -> active# X1) (active# U132 X -> active# X, active# sel(X1, X2) -> active# X2) (active# U132 X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U132 X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (active# snd pair(X, Y) -> isLNat# X, isLNat# ok X -> isLNat# X) (active# U111 X -> active# X, active# U102 X -> U102# active X) (active# U111 X -> active# X, active# U102 X -> active# X) (active# U111 X -> active# X, active# isLNat snd V1 -> U81# isPLNat V1) (active# U111 X -> active# X, active# isLNat snd V1 -> isPLNat# V1) (active# U111 X -> active# X, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U111 X -> active# X, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U111 X -> active# X, active# isLNat natsFrom V1 -> isNatural# V1) (active# U111 X -> active# X, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U111 X -> active# X, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U111 X -> active# X, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U111 X -> active# X, active# isLNat fst V1 -> U61# isPLNat V1) (active# U111 X -> active# X, active# isLNat fst V1 -> isPLNat# V1) (active# U111 X -> active# X, active# isLNat tail V1 -> isLNat# V1) (active# U111 X -> active# X, active# isLNat tail V1 -> U91# isLNat V1) (active# U111 X -> active# X, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U111 X -> active# X, active# isLNat take(V1, V2) -> isNatural# V1) (active# U111 X -> active# X, active# U101(X1, X2) -> active# X1) (active# U111 X -> active# X, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U111 X -> active# X, active# U101(tt(), V2) -> U102# isLNat V2) (active# U111 X -> active# X, active# U101(tt(), V2) -> isLNat# V2) (active# U111 X -> active# X, active# U12(X1, X2, X3) -> active# X1) (active# U111 X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U111 X -> active# X, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U111 X -> active# X, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U111 X -> active# X, active# U11(X1, X2, X3) -> active# X1) (active# U111 X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U111 X -> active# X, active# U11(tt(), N, XS) -> isLNat# XS) (active# U111 X -> active# X, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U111 X -> active# X, active# U111 X -> active# X) (active# U111 X -> active# X, active# U111 X -> U111# active X) (active# U111 X -> active# X, active# snd X -> active# X) (active# U111 X -> active# X, active# snd X -> snd# active X) (active# U111 X -> active# X, active# snd pair(X, Y) -> isLNat# X) (active# U111 X -> active# X, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U111 X -> active# X, active# splitAt(X1, X2) -> active# X1) (active# U111 X -> active# X, active# splitAt(X1, X2) -> active# X2) (active# U111 X -> active# X, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U111 X -> active# X, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U111 X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U111 X -> active# X, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U111 X -> active# X, active# splitAt(0(), XS) -> isLNat# XS) (active# U111 X -> active# X, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U111 X -> active# X, active# U121 X -> active# X) (active# U111 X -> active# X, active# U121 X -> U121# active X) (active# U111 X -> active# X, active# U132 X -> active# X) (active# U111 X -> active# X, active# U132 X -> U132# active X) (active# U111 X -> active# X, active# U131(X1, X2) -> active# X1) (active# U111 X -> active# X, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U111 X -> active# X, active# U131(tt(), V2) -> isLNat# V2) (active# U111 X -> active# X, active# U131(tt(), V2) -> U132# isLNat V2) (active# U111 X -> active# X, active# U142 X -> active# X) (active# U111 X -> active# X, active# U142 X -> U142# active X) (active# U111 X -> active# X, 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U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (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# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U181(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# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (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# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# take(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# take(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (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# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# take(X1, X2) -> proper# X1, proper# U42 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# U52 X -> U52# proper X) (proper# take(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# take(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# take(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# take(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# take(X1, X2) -> proper# X1, proper# U91 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# U41(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U41(X1, X2) -> proper# X1, proper# U102 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# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (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# U111 X -> U111# proper X) (proper# U41(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (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# 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# U121 X -> U121# proper X) (proper# U41(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U41(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U41(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U41(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U151(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# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (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# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U181(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# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (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# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (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# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U41(X1, X2) -> proper# X1, proper# U42 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# U52 X -> U52# proper X) (proper# U41(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U41(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U41(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U41(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U41(X1, X2) -> proper# X1, proper# U91 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# U32(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U32(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U32(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U32(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U32(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U32(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U32(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U32(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U32(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U32(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U32(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U32(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U32(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U32(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U32(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U32(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U102 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U111 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U121 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U132 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U142 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U152 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U222(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U222(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U222(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U222(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U52 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U61 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U71 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U81 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# U91 X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U222(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U222(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U222(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U222(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U222(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U212(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U212(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U212(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U212(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U212(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U212(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U212(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U212(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U212(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U212(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U212(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U212(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U212(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U212(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U212(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U212(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U212(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U212(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U212(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U212(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U212(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U212(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U212(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U212(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U212(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U212(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U212(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U212(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U212(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U212(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U212(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U212(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U212(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U212(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U212(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U212(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U22(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U22(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U22(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U22(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U22(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U22(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U22(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U22(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U22(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U22(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U22(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U22(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U22(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U22(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U22(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U102 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# isLNat X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U111 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# snd X -> snd# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# snd X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U121 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U132 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U142 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U152 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# s X -> s# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# s X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# head X -> head# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# head X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# isNatural X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# fst X -> fst# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# fst X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U42 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U52 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U61 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U71 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U81 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U91 X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# tail X -> tail# proper X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# tail X -> proper# X) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U203(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U102 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# isLNat X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U111 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# snd X -> snd# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# snd X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U121 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U132 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U142 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U152 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# s X -> s# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# s X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# head X -> head# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# head X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# isNatural X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# fst X -> fst# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# fst X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U42 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U52 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U61 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U71 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U81 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U91 X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# tail X -> tail# proper X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# tail X -> proper# X) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U202(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U102 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# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# pair(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U151(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# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# pair(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U181(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# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (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# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# pair(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# pair(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# pair(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U42 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# U52 X -> U52# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U91 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# U182(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U182(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U182(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U182(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U182(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U182(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U182(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U182(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U182(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U182(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U182(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U182(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U182(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U182(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U182(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U182(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U182(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U182(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U182(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U182(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U182(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U182(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U182(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U182(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U182(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U182(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U182(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U182(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U182(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U182(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U182(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U182(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U182(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U182(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U182(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U182(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U182(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U102 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U111 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U121 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U132 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U142 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U152 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U171(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U171(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U171(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U42 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U52 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U61 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U71 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U81 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U91 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U161(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U161(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U161(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U161(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U161(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U161(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U161(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U161(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U161(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U161(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U161(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U161(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U161(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U161(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U161(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U151(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U151(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U151(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U151(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U151(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U151(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U151(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U151(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U151(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U151(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U151(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U151(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U151(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U151(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U151(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U151(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U151(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U151(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U151(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U151(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U151(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U151(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U151(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U151(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U151(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U151(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U151(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U151(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U151(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U151(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U151(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U151(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U151(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U151(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U131(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U131(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U131(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U131(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U131(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U131(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U131(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U131(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U131(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U131(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U131(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U131(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U131(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U131(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U131(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U131(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U131(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U131(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U131(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U131(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U131(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U131(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U131(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U131(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U131(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U131(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U131(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U131(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U131(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U131(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U131(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U131(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U131(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U131(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U102 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# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (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# U111 X -> U111# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U111 X -> proper# X) (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# 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# U121 X -> U121# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U121 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U132 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U142 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U152 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U151(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# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (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# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U181(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# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (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# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (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# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U42 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# U52 X -> U52# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U52 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U61 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U71 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U91 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# U101(X1, X2) -> proper# X1, proper# U102 X -> U102# proper X) (proper# U101(X1, X2) -> proper# X1, proper# U102 X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U101(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# U101(X1, X2) -> U101#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X1, proper# U111 X -> U111# proper X) (proper# U101(X1, X2) -> proper# X1, proper# U111 X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U101(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U121 X -> U121# proper X) (proper# U101(X1, X2) -> proper# X1, proper# U121 X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# U132 X -> U132# proper X) (proper# U101(X1, X2) -> proper# X1, proper# U132 X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# U131(X1, X2) -> U131#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U142 X -> U142# proper X) (proper# U101(X1, X2) -> proper# X1, proper# U142 X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# U141(X1, X2) -> U141#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U152 X -> U152# proper X) (proper# U101(X1, X2) -> proper# X1, proper# U152 X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# U151(X1, X2) -> U151#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U151(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U101(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U101(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> U172#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U101(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U182(X1, X2) -> U182#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> U202#(proper X1, proper X2, proper X3, proper X4)) (proper# U101(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X3) (proper# U101(X1, X2) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X4) (proper# U101(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U101(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U101(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U101(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U101(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> U203#(proper X1, proper X2, proper X3, proper X4)) (proper# U101(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X3) (proper# U101(X1, X2) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X4) (proper# U101(X1, X2) -> proper# X1, proper# U204(X1, X2) -> U204#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> U21#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X1, proper# U212(X1, X2) -> U212#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> U222#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U101(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> U31#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2) -> proper# X1, proper# U42 X -> U42# proper X) (proper# U101(X1, X2) -> proper# X1, proper# U42 X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U52 X -> U52# proper X) (proper# U101(X1, X2) -> proper# X1, proper# U52 X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# U61 X -> U61# proper X) (proper# U101(X1, X2) -> proper# X1, proper# U61 X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# U71 X -> U71# proper X) (proper# U101(X1, X2) -> proper# X1, proper# U71 X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# U81 X -> U81# proper X) (proper# U101(X1, X2) -> proper# X1, proper# U81 X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# U91 X -> U91# proper X) (proper# U101(X1, X2) -> proper# X1, proper# U91 X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U101(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U101(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U101(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U101(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U101(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U101(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (active# take(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# take(X1, X2) -> active# X1, active# U102 X -> active# X) (active# take(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# take(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# take(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# take(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# take(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# take(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# take(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# take(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# take(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# take(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# take(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# take(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# take(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# take(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# take(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# take(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# take(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# take(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# take(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# take(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# take(X1, X2) -> active# X1, active# U111 X -> active# X) (active# take(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# take(X1, X2) -> active# X1, active# snd X -> active# X) (active# take(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# take(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# take(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# take(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# take(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# 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splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U32(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U32(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U32(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U32(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U32(X1, X2) -> active# X1, active# U121 X -> active# X) (active# U32(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# U32(X1, X2) -> active# X1, active# U132 X -> active# X) (active# U32(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# U32(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U32(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U32(X1, X2) -> active# X1, active# U142 X -> active# X) (active# U32(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# U32(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U32(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U32(X1, X2) -> active# X1, active# U152 X -> active# X) (active# U32(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# U32(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U32(X1, X2) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U32(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U32(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U32(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U32(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U32(X1, X2) -> active# X1, active# s X -> active# X) (active# U32(X1, X2) -> active# X1, active# s X -> s# active X) (active# U32(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U32(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U32(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U32(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U32(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U32(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U32(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U32(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U32(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U32(X1, X2) -> active# X1, active# head X -> active# X) (active# U32(X1, X2) -> active# X1, active# head X -> head# active X) (active# U32(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U32(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U32(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U32(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U32(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U32(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U32(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U32(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U32(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U32(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U32(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U32(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U32(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U32(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U32(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U32(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U32(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U32(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U32(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U32(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U32(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U32(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U32(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U32(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U32(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U32(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U32(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U32(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U32(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U32(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U32(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U32(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U32(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U32(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U32(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U32(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U32(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U32(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U32(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U32(X1, X2) -> active# X1, active# fst X -> active# X) (active# U32(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U32(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U32(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U32(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U32(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U32(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U32(X1, X2) -> active# X1, active# U42 X -> active# X) (active# U32(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# U32(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U32(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U32(X1, X2) -> active# X1, active# U52 X -> active# X) (active# U32(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# U32(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U32(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U32(X1, X2) -> active# X1, active# U61 X -> active# X) (active# U32(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# U32(X1, X2) -> active# X1, active# U71 X -> active# X) (active# U32(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# U32(X1, X2) -> active# X1, active# U81 X -> active# X) (active# U32(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# U32(X1, X2) -> active# X1, active# U91 X -> active# X) (active# U32(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# U32(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U32(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U32(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U32(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U32(X1, X2) -> active# X1, active# tail X -> active# X) (active# U32(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U32(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U32(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U32(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U32(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U32(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U32(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U32(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U32(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U32(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U32(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U32(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U102 X -> U102# active X) (active# U222(X1, X2, X3) -> active# X1, active# U102 X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U222(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U222(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U222(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U222(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U222(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U222(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U222(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U222(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U222(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U222(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U222(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U222(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U222(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U222(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U222(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U222(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U222(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U222(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U222(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# U111 X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# U111 X -> U111# active X) (active# U222(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U222(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U222(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U222(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U222(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U222(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U222(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U222(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U222(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U222(X1, X2, X3) -> active# X1, active# U121 X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# U121 X -> U121# active X) (active# U222(X1, X2, X3) -> active# X1, active# U132 X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# U132 X -> U132# active X) (active# U222(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U222(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U222(X1, X2, X3) -> active# X1, active# U142 X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# U142 X -> U142# active X) (active# U222(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U222(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U222(X1, X2, X3) -> active# X1, active# U152 X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# U152 X -> U152# active X) (active# U222(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U222(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U222(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U222(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U222(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U222(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U222(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U222(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U222(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> s# N) (active# U222(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U222(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U222(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U222(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U222(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U222(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U222(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U222(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U222(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U222(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U222(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U222(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U222(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U222(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U222(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U222(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U222(X1, X2, X3) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U222(X1, X2, X3) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U222(X1, X2, X3) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U222(X1, X2, X3) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U222(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U222(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U222(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U222(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U222(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U222(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U222(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U222(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U222(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U222(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U222(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U222(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U222(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U222(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U222(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U222(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U222(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U222(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U222(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U222(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U222(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U222(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U222(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U222(X1, X2, X3) -> active# X1, active# U42 X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X) (active# U222(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U222(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U222(X1, X2, X3) -> active# X1, active# U52 X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# U52 X -> U52# active X) (active# U222(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U222(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U222(X1, X2, X3) -> active# X1, active# U61 X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# U61 X -> U61# active X) (active# U222(X1, X2, X3) -> active# X1, active# U71 X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# U71 X -> U71# active X) (active# U222(X1, X2, X3) -> active# X1, active# U81 X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# U81 X -> U81# active X) (active# U222(X1, X2, X3) -> active# X1, active# U91 X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# U91 X -> U91# active X) (active# U222(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U222(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U222(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U222(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U222(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U222(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U222(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U222(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U222(X1, X2, X3) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U222(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U222(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U222(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U222(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U222(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U222(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U222(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U222(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# U212(X1, X2) -> active# X1, active# U102 X -> active# X) (active# U212(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U212(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U212(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U212(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U212(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U212(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U212(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U212(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U212(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U212(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U212(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U212(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U212(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U212(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U212(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U212(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U212(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U212(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U212(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U212(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U212(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U212(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U212(X1, X2) -> active# X1, active# U111 X -> active# X) (active# U212(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# U212(X1, X2) -> active# X1, active# snd X -> active# X) (active# U212(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U212(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U212(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U212(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U212(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U212(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U212(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U212(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U212(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U212(X1, X2) -> active# X1, active# U121 X -> active# X) (active# U212(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# U212(X1, X2) -> active# X1, active# U132 X -> active# X) (active# U212(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# U212(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U212(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U212(X1, X2) -> active# X1, active# U142 X -> active# X) (active# U212(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# U212(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U212(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U212(X1, X2) -> active# X1, active# U152 X -> active# X) (active# U212(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# U212(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U212(X1, X2) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U212(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U212(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U212(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U212(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U212(X1, X2) -> active# X1, active# s X -> active# X) (active# U212(X1, X2) -> active# X1, active# s X -> s# active X) (active# U212(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U212(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U212(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U212(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U212(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U212(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U212(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U212(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U212(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U212(X1, X2) -> active# X1, active# head X -> active# X) (active# U212(X1, X2) -> active# X1, active# head X -> head# active X) (active# U212(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U212(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U212(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U212(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U212(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U212(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U212(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U212(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U212(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U212(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U212(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U212(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U212(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U212(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U212(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U212(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U212(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U212(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U212(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U212(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U212(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U212(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U212(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U212(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U212(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U212(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U212(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U212(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U212(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U212(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U212(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U212(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U212(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U212(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U212(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U212(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U212(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U212(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U212(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U212(X1, X2) -> active# X1, active# fst X -> active# X) (active# U212(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U212(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U212(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U212(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U212(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U212(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U212(X1, X2) -> active# X1, active# U42 X -> active# X) (active# U212(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# U212(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U212(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U212(X1, X2) -> active# X1, active# U52 X -> active# X) (active# U212(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# U212(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U212(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U212(X1, X2) -> active# X1, active# U61 X -> active# X) (active# U212(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# U212(X1, X2) -> active# X1, active# U71 X -> active# X) (active# U212(X1, X2) -> active# X1, active# U71 X -> U71# active X) 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N) (active# U212(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U212(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U212(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U212(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U212(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U212(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U212(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U212(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U212(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U212(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# U22(X1, X2) -> active# X1, active# U102 X -> active# 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active# U51(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U22(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U22(X1, X2) -> active# X1, active# U61 X -> active# X) (active# U22(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# U22(X1, X2) -> active# X1, active# U71 X -> active# X) (active# U22(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# U22(X1, X2) -> active# X1, active# U81 X -> active# X) (active# U22(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# U22(X1, X2) -> active# X1, active# U91 X -> active# X) (active# U22(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# U22(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U22(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U22(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U22(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U22(X1, X2) -> active# X1, active# tail X -> active# X) (active# U22(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U22(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U22(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U22(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U22(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U22(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U22(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U22(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U22(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U22(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U22(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U22(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U102 X -> U102# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U102 X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U203(X1, X2, X3, X4) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U203(X1, X2, X3, X4) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U203(X1, X2, X3, X4) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U111 X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U111 X -> U111# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# snd X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# snd X -> snd# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U203(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U203(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U203(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U203(X1, X2, X3, X4) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U121 X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U121 X -> U121# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U132 X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U132 X -> U132# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U203(X1, X2, X3, X4) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U203(X1, X2, X3, X4) -> active# X1, active# U142 X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U142 X -> U142# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U203(X1, X2, X3, X4) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U203(X1, X2, X3, X4) -> active# X1, active# U152 X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U152 X -> U152# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U203(X1, X2, X3, X4) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U203(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U203(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> isNatural# N) (active# U203(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# s X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# s X -> s# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U203(X1, X2, X3, X4) -> active# X1, active# U161(tt(), N) -> s# N) (active# U203(X1, X2, X3, X4) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U203(X1, X2, X3, X4) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# head X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# head X -> head# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U203(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U203(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U203(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U203(X1, X2, X3, X4) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U203(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U203(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U203(X1, X2, X3, X4) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U203(X1, X2, X3, X4) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U203(X1, X2, X3, X4) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U203(X1, X2, X3, X4) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# fst X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# fst X -> fst# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U203(X1, X2, X3, X4) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U42 X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U42 X -> U42# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U203(X1, X2, X3, X4) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U203(X1, X2, X3, X4) -> active# X1, active# U52 X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U52 X -> U52# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U203(X1, X2, X3, X4) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U203(X1, X2, X3, X4) -> active# X1, active# U61 X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U61 X -> U61# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U71 X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U71 X -> U71# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U81 X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U81 X -> U81# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U91 X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# U91 X -> U91# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U203(X1, X2, X3, X4) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# tail X -> active# X) (active# U203(X1, X2, X3, X4) -> active# X1, active# tail X -> tail# active X) (active# U203(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U203(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U203(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X2) (active# U203(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U203(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U203(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U203(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U203(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U203(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U102 X -> U102# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U102 X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U202(X1, X2, X3, X4) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U202(X1, X2, X3, X4) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U202(X1, X2, X3, X4) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U111 X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U111 X -> U111# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# snd X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# snd X -> snd# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U202(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U202(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U202(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U202(X1, X2, X3, X4) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U121 X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U121 X -> U121# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U132 X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U132 X -> U132# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U202(X1, X2, X3, X4) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U202(X1, X2, X3, X4) -> active# X1, active# U142 X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U142 X -> U142# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U202(X1, X2, X3, X4) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U202(X1, X2, X3, X4) -> active# X1, active# U152 X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U152 X -> U152# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U202(X1, X2, X3, X4) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U202(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U202(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> isNatural# N) (active# U202(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# s X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# s X -> s# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U202(X1, X2, X3, X4) -> active# X1, active# U161(tt(), N) -> s# N) (active# U202(X1, X2, X3, X4) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U202(X1, X2, X3, X4) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# head X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# head X -> head# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U202(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U202(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U202(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U202(X1, X2, X3, X4) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U202(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U202(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U202(X1, X2, X3, X4) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U202(X1, X2, X3, X4) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U202(X1, X2, X3, X4) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U202(X1, X2, X3, X4) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# fst X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# fst X -> fst# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U202(X1, X2, X3, X4) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U42 X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U42 X -> U42# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U202(X1, X2, X3, X4) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U202(X1, X2, X3, X4) -> active# X1, active# U52 X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U52 X -> U52# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U202(X1, X2, X3, X4) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U202(X1, X2, X3, X4) -> active# X1, active# U61 X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U61 X -> U61# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U71 X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U71 X -> U71# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U81 X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U81 X -> U81# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U91 X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# U91 X -> U91# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U202(X1, X2, X3, X4) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# tail X -> active# X) (active# U202(X1, X2, X3, X4) -> active# X1, active# tail X -> tail# active X) (active# U202(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U202(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U202(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X2) (active# U202(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U202(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U202(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U202(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U202(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U202(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# pair(X1, X2) -> active# X1, active# U102 X -> active# X) (active# pair(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# 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) -> isNatural# V1) (active# pair(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# pair(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# pair(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# pair(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# pair(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# pair(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# pair(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# pair(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# pair(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# pair(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# pair(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# pair(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# pair(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# pair(X1, X2) -> active# X1, active# U111 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U111 X -> U111# active X) (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) -> isLNat# X) (active# pair(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# pair(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# pair(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# pair(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# pair(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# pair(X1, X2) -> active# X1, active# U121 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# pair(X1, X2) -> active# X1, active# U132 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# pair(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# pair(X1, X2) -> active# X1, active# U142 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# pair(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# pair(X1, X2) -> active# X1, active# U152 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# pair(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (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 -> U161#(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# U161(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# pair(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# pair(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# pair(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# 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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# U182(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# pair(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (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, 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pair(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# pair(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# pair(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# pair(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# pair(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, 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-> isLNat# V2) (active# pair(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# pair(X1, X2) -> active# X1, active# U52 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# pair(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# pair(X1, X2) -> active# X1, active# U61 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# pair(X1, X2) -> active# X1, active# U71 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# pair(X1, X2) -> active# X1, active# U81 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# pair(X1, X2) -> active# X1, active# U91 X -> active# X) 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active# take(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# pair(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# pair(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# pair(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# pair(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# U182(X1, X2) -> active# X1, active# U102 X -> active# X) (active# U182(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U182(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U182(X1, X2) -> active# X1, 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active# X1, active# U101(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U182(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U182(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U182(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U182(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U182(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U182(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U182(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U182(X1, X2) -> active# X1, active# U111 X -> active# X) (active# U182(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# U182(X1, X2) -> active# X1, active# snd X -> active# X) (active# U182(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U182(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U182(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U182(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U182(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U182(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U182(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U182(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U182(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U182(X1, X2) -> active# X1, active# U121 X -> active# X) (active# U182(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# U182(X1, X2) -> active# X1, active# U132 X -> active# X) (active# U182(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# U182(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U182(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U182(X1, X2) -> active# X1, active# U142 X -> active# X) (active# U182(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# U182(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U141(tt(), 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X3) -> U171#(active X1, X2, X3)) (active# U182(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U182(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U182(X1, X2) -> active# X1, active# head X -> active# X) (active# U182(X1, X2) -> active# X1, active# head X -> head# active X) (active# U182(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U182(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U182(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U182(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U182(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U182(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U182(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U182(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U182(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U182(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U182(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U182(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U182(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U182(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U182(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U182(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U182(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U182(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U182(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U182(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U182(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U182(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U182(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U182(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U182(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U182(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U182(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U182(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U182(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U182(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U182(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U182(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U182(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U182(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U182(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U182(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U182(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U182(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U182(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U182(X1, X2) -> active# X1, active# fst X -> active# X) (active# U182(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U182(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U182(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U182(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U182(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U182(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U182(X1, X2) -> active# X1, active# U42 X -> active# X) (active# U182(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# U182(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U182(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U182(X1, X2) -> active# X1, active# U52 X -> active# X) (active# U182(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# U182(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U182(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U182(X1, X2) -> active# X1, active# U61 X -> active# X) (active# U182(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# U182(X1, X2) -> active# X1, active# U71 X -> active# X) (active# U182(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# U182(X1, X2) -> active# X1, active# U81 X -> active# X) (active# U182(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# U182(X1, X2) -> active# X1, active# U91 X -> active# X) (active# U182(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# U182(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U182(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U182(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U182(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U182(X1, X2) -> active# X1, active# tail X -> active# X) (active# U182(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U182(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U182(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U182(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U182(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U182(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U182(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U182(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U182(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U182(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U182(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U182(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U182(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U182(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U102 X -> U102# active X) (active# U171(X1, X2, X3) -> active# X1, active# U102 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U171(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U171(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U171(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U171(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U171(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U171(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U171(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U171(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U171(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U111 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U111 X -> U111# active X) (active# U171(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U171(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U171(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U171(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U171(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U171(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U171(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U171(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U171(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U121 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U121 X -> U121# active X) (active# U171(X1, X2, X3) -> active# X1, active# U132 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U132 X -> U132# active X) (active# U171(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U171(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U171(X1, X2, X3) -> active# X1, active# U142 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U142 X -> U142# active X) (active# U171(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U171(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U171(X1, X2, X3) -> active# X1, active# U152 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U152 X -> U152# active X) (active# U171(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U171(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U171(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U171(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U171(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U171(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U171(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U171(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U171(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> s# N) (active# U171(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U171(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U171(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U171(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U171(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U171(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U171(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U171(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U171(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U171(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U171(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U171(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U171(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U171(X1, X2, X3) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U171(X1, X2, X3) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U171(X1, X2, X3) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U171(X1, X2, X3) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U171(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U171(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U171(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U171(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U171(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U171(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U171(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U171(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U171(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U171(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U171(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U171(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U171(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U171(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U171(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U171(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U171(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U171(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U171(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U171(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U171(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U171(X1, X2, X3) -> active# X1, active# U42 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U42 X -> U42# active X) (active# U171(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U171(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U171(X1, X2, X3) -> active# X1, active# U52 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U52 X -> U52# active X) (active# U171(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U171(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U171(X1, X2, X3) -> active# X1, active# U61 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U61 X -> U61# active X) (active# U171(X1, X2, X3) -> active# X1, active# U71 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U71 X -> U71# active X) (active# U171(X1, X2, X3) -> active# X1, active# U81 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U81 X -> U81# active X) (active# U171(X1, X2, X3) -> active# X1, active# U91 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U91 X -> U91# active X) (active# U171(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U171(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U171(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U171(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U171(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U171(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U171(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U171(X1, X2, X3) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U171(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U171(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U171(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U171(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U171(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# U161(X1, X2) -> active# X1, active# U102 X -> active# X) (active# U161(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U161(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U161(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U161(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U161(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U161(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U161(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U161(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U161(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U161(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U161(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U161(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U161(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U161(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U161(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U161(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U161(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U161(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U161(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U161(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U161(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U161(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U161(X1, X2) -> active# X1, active# U111 X -> active# X) (active# U161(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# U161(X1, X2) -> active# X1, active# snd X -> active# X) (active# U161(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U161(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U161(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U161(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U161(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U161(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U161(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U161(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U161(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U161(X1, X2) -> active# X1, active# U121 X -> active# X) (active# U161(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# U161(X1, X2) -> active# X1, active# U132 X -> active# X) (active# U161(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# U161(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U161(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U161(X1, X2) -> active# X1, active# U142 X -> active# X) (active# U161(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# U161(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U161(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U161(X1, X2) -> active# X1, active# U152 X -> active# X) (active# U161(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# U161(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U161(X1, X2) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U161(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U161(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U161(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U161(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U161(X1, X2) -> active# X1, active# s X -> active# X) (active# U161(X1, X2) -> active# X1, active# s X -> s# active X) (active# U161(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U161(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U161(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U161(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U161(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U161(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U161(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U161(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U161(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U161(X1, X2) -> active# X1, active# head X -> active# X) (active# U161(X1, X2) -> active# X1, active# head X -> head# active X) (active# U161(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U161(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U161(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U161(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U161(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U161(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U161(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U161(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U161(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U161(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U161(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U161(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U161(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U161(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U161(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U161(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U161(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U161(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U161(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U161(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U161(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U161(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U161(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U161(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U161(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U161(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U161(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U161(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U161(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U161(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U161(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U161(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U161(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U161(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U161(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U161(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U161(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U161(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U161(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U161(X1, X2) -> active# X1, active# fst X -> active# X) (active# U161(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U161(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U161(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U161(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U161(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U161(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U161(X1, X2) -> active# X1, active# U42 X -> active# X) (active# U161(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# U161(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U161(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U161(X1, X2) -> active# X1, active# U52 X -> active# X) (active# U161(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# U161(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U161(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U161(X1, X2) -> active# X1, active# U61 X -> active# X) (active# U161(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# U161(X1, X2) -> active# X1, active# U71 X -> active# X) (active# U161(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# U161(X1, X2) -> active# X1, active# U81 X -> active# X) (active# U161(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# U161(X1, X2) -> active# X1, active# U91 X -> active# X) (active# U161(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# U161(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U161(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U161(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U161(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U161(X1, X2) -> active# X1, active# tail X -> active# X) (active# U161(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U161(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U161(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U161(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U161(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U161(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U161(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U161(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U161(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U161(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U161(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U161(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# U151(X1, X2) -> active# X1, active# U102 X -> active# X) (active# U151(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U151(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U151(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U151(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U151(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U151(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U151(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U151(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U151(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U151(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U151(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U151(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U151(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U151(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U151(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U151(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U151(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U151(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U151(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U151(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U151(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U151(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U151(X1, X2) -> active# X1, active# U111 X -> active# X) (active# U151(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# U151(X1, X2) -> active# X1, active# snd X -> active# X) (active# U151(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U151(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U151(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (active# U151(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U151(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U151(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U151(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U151(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U151(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U151(X1, X2) -> active# X1, active# U121 X -> active# X) (active# U151(X1, X2) -> active# X1, active# U121 X -> U121# active X) (active# U151(X1, X2) -> active# X1, active# U132 X -> active# X) (active# U151(X1, X2) -> active# X1, active# U132 X -> U132# active X) (active# U151(X1, X2) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U151(X1, X2) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U151(X1, X2) -> active# X1, active# U142 X -> active# X) (active# U151(X1, X2) -> active# X1, active# U142 X -> U142# active X) (active# U151(X1, X2) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U151(X1, X2) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U151(X1, X2) -> active# X1, active# U152 X -> active# X) (active# U151(X1, X2) -> active# X1, active# U152 X -> U152# active X) (active# U151(X1, X2) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U151(X1, X2) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (active# U151(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# natsFrom N -> U161#(isNatural N, N)) (active# U151(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U151(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U151(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U151(X1, X2) -> active# X1, active# s X -> active# X) (active# U151(X1, X2) -> active# X1, active# s X -> s# active X) (active# U151(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U151(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U151(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U151(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U151(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U151(X1, X2) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U151(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U151(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U151(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (active# U151(X1, X2) -> active# X1, active# head X -> active# X) (active# U151(X1, X2) -> active# X1, active# head X -> head# active X) (active# U151(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U151(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U151(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U151(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U151(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U151(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U151(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U151(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U151(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U151(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U151(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U151(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U151(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U151(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U151(X1, X2) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (active# U151(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U151(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U151(X1, X2) -> active# X1, active# isNatural head V1 -> U111# isLNat V1) (active# U151(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U151(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U151(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U151(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U151(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U151(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U151(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U151(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U151(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U151(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U151(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U151(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U151(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U151(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U151(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U151(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U151(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U151(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U151(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U151(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U151(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U151(X1, X2) -> active# X1, active# fst X -> active# X) (active# U151(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U151(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U151(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U151(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U151(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U151(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U151(X1, X2) -> active# X1, active# U42 X -> active# X) (active# U151(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# U151(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U151(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U151(X1, X2) -> active# X1, active# U52 X -> active# X) (active# U151(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# U151(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U151(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U151(X1, X2) -> active# X1, active# U61 X -> active# X) (active# U151(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# U151(X1, X2) -> active# X1, active# U71 X -> active# X) (active# U151(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# U151(X1, X2) -> active# X1, active# U81 X -> active# X) (active# U151(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# U151(X1, X2) -> active# X1, active# U91 X -> active# X) (active# U151(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# U151(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U151(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U151(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U151(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U151(X1, X2) -> active# X1, active# tail X -> active# X) (active# U151(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U151(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U151(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U151(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U151(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U151(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U151(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U151(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U151(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U151(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U151(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U151(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U151(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U151(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U131(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# U131(X1, X2) -> active# X1, active# U102 X -> active# X) (active# U131(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U131(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U131(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U131(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U131(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U131(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U131(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U131(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U131(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U131(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U131(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U131(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U131(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U131(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U131(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U131(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U131(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U131(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U131(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U131(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U131(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U131(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U131(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U131(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U131(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U131(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U131(X1, X2) -> active# X1, active# U111 X -> active# X) (active# U131(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# U131(X1, X2) -> active# X1, active# snd X -> active# X) (active# U131(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U131(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U131(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat 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isPLNat# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U11(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U11(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U11(X1, X2, X3) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U11(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (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) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U111 X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U111 X -> U111# active X) (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) -> isLNat# X) (active# U11(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat X, Y)) (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(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(s N, cons(X, XS)) -> isNatural# N) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(isNatural N, N, X, XS)) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U191#(isLNat XS, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U121 X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U121 X -> U121# active X) (active# U11(X1, X2, X3) -> active# X1, active# U132 X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U132 X -> U132# active X) (active# U11(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U131(X1, X2) -> U131#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> isLNat# V2) (active# U11(X1, X2, X3) -> active# X1, active# U131(tt(), V2) -> U132# isLNat V2) (active# U11(X1, X2, X3) -> active# X1, active# U142 X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U142 X -> U142# active X) (active# U11(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U141(X1, X2) -> U141#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> isLNat# V2) (active# U11(X1, X2, X3) -> active# X1, active# U141(tt(), V2) -> U142# isLNat V2) (active# U11(X1, X2, X3) -> active# X1, active# U152 X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U152 X -> U152# active X) (active# U11(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U151(X1, X2) -> U151#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> isLNat# V2) (active# U11(X1, X2, X3) -> active# X1, active# U151(tt(), V2) -> U152# isLNat V2) (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 -> U161#(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# U161(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U11(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U11(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> s# N) (active# U11(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U172(X1, X2, X3) -> U172#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> head# afterNth(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U172(tt(), N, XS) -> afterNth#(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> U172#(isLNat XS, N, XS)) (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) -> isNatural# N) (active# U11(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (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# U182(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U11(X1, X2, X3) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (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# U191(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U11(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U11(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# U202(tt(), N, X, XS) -> U203#(isLNat XS, N, X, XS)) (active# U11(X1, X2, X3) -> active# X1, active# isNatural s V1 -> U121# isNatural V1) (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 head V1 -> U111# isLNat V1) (active# U11(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> U131#(isNatural V1, V2)) (active# U11(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U11(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U11(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(isNatural X, N, X, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> isNatural# X) (active# U11(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U11(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U11(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U11(X1, X2, X3) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U11(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U11(X1, X2, X3) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U11(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (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) -> U21#(isLNat X, X, Y)) (active# U11(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U11(X1, X2, X3) -> active# X1, active# U42 X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U42 X -> U42# 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(), V2) -> isLNat# V2) (active# U11(X1, X2, X3) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U11(X1, X2, X3) -> active# X1, active# U52 X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U52 X -> U52# active X) (active# U11(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U11(X1, X2, X3) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U11(X1, X2, X3) -> active# X1, active# U61 X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U61 X -> U61# active X) (active# U11(X1, X2, X3) -> active# X1, active# U71 X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U71 X -> U71# active X) (active# U11(X1, X2, X3) -> active# X1, active# U81 X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U81 X -> U81# active X) (active# U11(X1, X2, X3) -> active# X1, active# U91 X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U91 X -> U91# active X) (active# U11(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U11(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (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) -> U141#(isLNat V1, 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) -> isNatural# N) (active# U11(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, 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) -> U221#(isNatural N, N, 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) -> U171#(isNatural N, N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNatural# N) (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# U101(X1, X2) -> active# X1, active# U102 X -> U102# active X) (active# U101(X1, X2) -> active# X1, active# U102 X -> active# X) (active# U101(X1, X2) -> active# X1, active# isLNat snd V1 -> U81# isPLNat V1) (active# U101(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U101(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U101(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(isNatural V1, V2)) (active# U101(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U101(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71# isNatural V1) (active# U101(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U101(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(isNatural V1, V2)) (active# U101(X1, X2) -> active# X1, active# isLNat fst V1 -> U61# isPLNat V1) (active# U101(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U101(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U101(X1, X2) -> active# X1, active# isLNat tail V1 -> U91# isLNat V1) (active# U101(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(isNatural V1, V2)) (active# U101(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U101(X1, X2) -> active# X1, active# U101(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U101(X1, X2) -> U101#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# U101(tt(), V2) -> U102# isLNat V2) (active# U101(X1, X2) -> active# X1, active# U101(tt(), V2) -> isLNat# V2) (active# U101(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U101(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U101(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U101(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U101(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> isLNat# XS) (active# U101(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(isLNat XS, N, XS)) (active# U101(X1, X2) -> active# X1, active# U111 X -> active# X) (active# U101(X1, X2) -> active# X1, active# U111 X -> U111# active X) (active# U101(X1, X2) -> active# X1, active# snd X -> active# X) (active# U101(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U101(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U101(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(isLNat 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X1, active# head cons(N, XS) -> isNatural# N) (active# U101(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(isNatural N, N, XS)) (active# U101(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(isNatural N, N, XS)) (active# U101(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U101(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U101(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U101(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# U182(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U182(X1, X2) -> U182#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# U181(tt(), Y) -> isLNat# Y) (active# U101(X1, X2) -> active# X1, active# U181(tt(), Y) -> U182#(isLNat Y, Y)) (active# U101(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U101(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U101(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U101(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> U202#(active X1, X2, X3, X4)) (active# U101(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> isLNat# XS) (active# U101(X1, X2) -> active# X1, active# U202(tt(), N, X, XS) -> 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active# X1, active# U203(X1, X2, X3, X4) -> U203#(active X1, X2, X3, X4)) (active# U101(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U101(X1, X2) -> active# X1, active# U203(tt(), N, X, XS) -> U204#(splitAt(N, XS), X)) (active# U101(X1, X2) -> active# X1, active# U204(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U204(X1, X2) -> U204#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> cons#(X, YS)) (active# U101(X1, X2) -> active# X1, active# U204(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U101(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> U21#(active X1, X2, X3)) (active# U101(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> isLNat# Y) (active# U101(X1, X2) -> active# X1, active# U21(tt(), X, Y) -> U22#(isLNat Y, X)) (active# U101(X1, X2) -> active# X1, active# U212(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U212(X1, X2) -> U212#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# U211(tt(), XS) -> isLNat# XS) (active# U101(X1, X2) -> active# X1, active# U211(tt(), XS) -> U212#(isLNat XS, XS)) (active# U101(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> U222#(active X1, X2, X3)) (active# U101(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> splitAt#(N, XS)) (active# U101(X1, X2) -> active# X1, active# U222(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U101(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U101(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> isLNat# XS) (active# U101(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> U222#(isLNat XS, N, XS)) (active# U101(X1, X2) -> active# X1, active# fst X -> active# X) (active# U101(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U101(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U101(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(isLNat X, X, Y)) (active# U101(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> U31#(active X1, X2, X3)) (active# U101(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> isLNat# XS) (active# U101(X1, X2) -> active# X1, active# U31(tt(), N, XS) -> U32#(isLNat XS, N)) (active# U101(X1, X2) -> active# X1, active# U42 X -> active# X) (active# U101(X1, X2) -> active# X1, active# U42 X -> U42# active X) (active# U101(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# U41(tt(), V2) -> isLNat# V2) (active# U101(X1, X2) -> active# X1, active# U41(tt(), V2) -> U42# isLNat V2) (active# U101(X1, X2) -> active# X1, active# U52 X -> active# X) (active# U101(X1, X2) -> active# X1, active# U52 X -> U52# active X) (active# U101(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# U51(tt(), V2) -> isLNat# V2) (active# U101(X1, X2) -> active# X1, active# U51(tt(), V2) -> U52# isLNat V2) (active# U101(X1, X2) -> active# X1, active# U61 X -> active# X) (active# U101(X1, X2) -> active# X1, active# U61 X -> U61# active X) (active# U101(X1, X2) -> active# X1, active# U71 X -> active# X) (active# U101(X1, X2) -> active# X1, active# U71 X -> U71# active X) (active# U101(X1, X2) -> active# X1, active# U81 X -> active# X) (active# U101(X1, X2) -> active# X1, active# U81 X -> U81# active X) (active# U101(X1, X2) -> active# X1, active# U91 X -> active# X) (active# U101(X1, X2) -> active# X1, active# U91 X -> U91# active X) (active# U101(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(isNatural V1, V2)) (active# U101(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U101(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U101(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(isLNat V1, V2)) (active# U101(X1, X2) -> active# X1, active# tail X -> active# X) (active# U101(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U101(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U101(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(isNatural N, XS)) (active# U101(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U101(X1, X2) -> active# X1, active# take(N, XS) -> U221#(isNatural N, N, XS)) (active# U101(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U101(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U101(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U101(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(isNatural N, N, XS)) (active# U101(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U101(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U101(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U101(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U101(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) } STATUS: arrows: 0.873986 SCCS (56): Scc: {top# mark X -> top# proper X, top# ok X -> top# active X} Scc: { proper# U102 X -> proper# X, proper# isLNat X -> proper# X, proper# U101(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# U111 X -> proper# X, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U121 X -> proper# X, proper# U132 X -> proper# X, proper# U131(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2, proper# U142 X -> proper# X, proper# U141(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2, proper# U152 X -> proper# X, proper# U151(X1, X2) -> proper# X1, proper# U151(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# U161(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4, proper# isNatural X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U204(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X, proper# U41(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2, proper# U52 X -> proper# X, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U61 X -> proper# X, proper# U71 X -> proper# X, proper# U81 X -> proper# X, proper# U91 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: { active# U102 X -> active# X, active# U101(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# U111 X -> active# X, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U121 X -> active# X, active# U132 X -> active# X, active# U131(X1, X2) -> active# X1, active# U142 X -> active# X, active# U141(X1, X2) -> active# X1, active# U152 X -> active# X, active# U151(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1, active# natsFrom X -> active# X, active# s X -> active# X, active# U161(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U182(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# U191(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1, active# U204(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1, active# fst X -> active# X, active# U32(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1, active# U42 X -> active# X, active# U41(X1, X2) -> active# X1, active# U52 X -> active# X, active# U51(X1, X2) -> active# X1, active# U61 X -> active# X, active# U71 X -> active# X, active# U81 X -> active# X, active# U91 X -> active# X, 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: { 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: {tail# mark X -> tail# X, tail# ok X -> tail# X} Scc: {U52# mark X -> U52# X, U52# ok X -> U52# X} Scc: {U42# mark X -> U42# X, U42# ok X -> U42# X} Scc: { U32#(mark X1, X2) -> U32#(X1, X2), U32#(ok X1, ok X2) -> U32#(X1, X2)} Scc: { U221#(mark X1, X2, X3) -> U221#(X1, X2, X3), U221#(ok X1, ok X2, ok X3) -> U221#(X1, X2, X3)} Scc: {fst# mark X -> fst# X, fst# ok X -> fst# X} Scc: { U222#(mark X1, X2, X3) -> U222#(X1, X2, X3), U222#(ok X1, ok X2, ok X3) -> U222#(X1, X2, X3)} Scc: { U211#(mark X1, X2) -> U211#(X1, X2), U211#(ok X1, ok X2) -> U211#(X1, X2)} Scc: { U212#(mark X1, X2) -> U212#(X1, X2), U212#(ok X1, ok X2) -> U212#(X1, X2)} Scc: { U21#(mark X1, X2, X3) -> U21#(X1, X2, X3), U21#(ok X1, ok X2, ok X3) -> U21#(X1, X2, X3)} Scc: { U22#(mark X1, X2) -> U22#(X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2)} Scc: { U204#(mark X1, X2) -> U204#(X1, X2), U204#(ok X1, ok X2) -> U204#(X1, X2)} Scc: { U203#(mark X1, X2, X3, X4) -> U203#(X1, X2, X3, X4), U203#(ok X1, ok X2, ok X3, ok X4) -> U203#(X1, X2, X3, X4)} Scc: { U202#(mark X1, X2, X3, X4) -> U202#(X1, X2, X3, X4), U202#(ok X1, ok X2, ok X3, ok X4) -> U202#(X1, X2, X3, X4)} Scc: { pair#(X1, mark X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2), pair#(ok X1, ok X2) -> pair#(X1, X2)} Scc: { U182#(mark X1, X2) -> U182#(X1, X2), U182#(ok X1, ok X2) -> U182#(X1, X2)} Scc: { U31#(mark X1, X2, X3) -> U31#(X1, X2, X3), U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3)} Scc: { U171#(mark X1, X2, X3) -> U171#(X1, X2, X3), U171#(ok X1, ok X2, ok X3) -> U171#(X1, X2, X3)} Scc: { afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2)} Scc: {head# mark X -> head# X, head# ok X -> head# X} Scc: { U172#(mark X1, X2, X3) -> U172#(X1, X2, X3), U172#(ok X1, ok X2, ok X3) -> U172#(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: { U161#(mark X1, X2) -> U161#(X1, X2), U161#(ok X1, ok X2) -> U161#(X1, X2)} Scc: { cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)} Scc: { U151#(mark X1, X2) -> U151#(X1, X2), U151#(ok X1, ok X2) -> U151#(X1, X2)} Scc: {U152# mark X -> U152# X, U152# ok X -> U152# X} Scc: { U141#(mark X1, X2) -> U141#(X1, X2), U141#(ok X1, ok X2) -> U141#(X1, X2)} Scc: {U142# mark X -> U142# X, U142# ok X -> U142# X} Scc: { U131#(mark X1, X2) -> U131#(X1, X2), U131#(ok X1, ok X2) -> U131#(X1, X2)} Scc: {U132# mark X -> U132# X, U132# ok X -> U132# X} Scc: {U121# mark X -> U121# X, U121# ok X -> U121# X} Scc: { U191#(mark X1, X2) -> U191#(X1, X2), U191#(ok X1, ok X2) -> U191#(X1, X2)} Scc: { U201#(mark X1, X2, X3, X4) -> U201#(X1, X2, X3, X4), U201#(ok X1, ok X2, ok X3, ok X4) -> U201#(X1, X2, X3, X4)} Scc: { U181#(mark X1, X2) -> U181#(X1, X2), U181#(ok X1, ok X2) -> U181#(X1, X2)} Scc: {U111# mark X -> U111# X, U111# ok X -> U111# X} Scc: { U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)} Scc: { splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)} Scc: {snd# mark X -> snd# X, snd# ok X -> snd# X} Scc: { U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)} Scc: { U101#(mark X1, X2) -> U101#(X1, X2), U101#(ok X1, ok X2) -> U101#(X1, X2)} Scc: {U91# mark X -> U91# X, U91# ok X -> U91# X} Scc: {isLNat# ok X -> isLNat# X} Scc: {U61# mark X -> U61# X, U61# ok X -> U61# X} Scc: { U41#(mark X1, X2) -> U41#(X1, X2), U41#(ok X1, ok X2) -> U41#(X1, X2)} Scc: {U71# mark X -> U71# X, U71# ok X -> U71# X} Scc: { U51#(mark X1, X2) -> U51#(X1, X2), U51#(ok X1, ok X2) -> U51#(X1, X2)} Scc: {isNatural# ok X -> isNatural# X} Scc: {isPLNat# ok X -> isPLNat# X} Scc: {U81# mark X -> U81# X, U81# ok X -> U81# X} Scc: {U102# mark X -> U102# X, U102# ok X -> U102# X} SCC (2): Strict: {top# mark X -> top# proper X, top# ok X -> top# active X} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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 (99): Strict: { proper# U102 X -> proper# X, proper# isLNat X -> proper# X, proper# U101(X1, X2) -> proper# X1, proper# U101(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# U111 X -> proper# X, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U121 X -> proper# X, proper# U132 X -> proper# X, proper# U131(X1, X2) -> proper# X1, proper# U131(X1, X2) -> proper# X2, proper# U142 X -> proper# X, proper# U141(X1, X2) -> proper# X1, proper# U141(X1, X2) -> proper# X2, proper# U152 X -> proper# X, proper# U151(X1, X2) -> proper# X1, proper# U151(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# U161(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X1, proper# U172(X1, X2, X3) -> proper# X2, proper# U172(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U182(X1, X2) -> proper# X1, proper# U182(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2, X3, X4) -> proper# X4, proper# isNatural X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U203(X1, X2, X3, X4) -> proper# X1, proper# U203(X1, X2, X3, X4) -> proper# X2, proper# U203(X1, X2, X3, X4) -> proper# X3, proper# U203(X1, X2, X3, X4) -> proper# X4, proper# U204(X1, X2) -> proper# X1, proper# U204(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X1, proper# U21(X1, X2, X3) -> proper# X2, proper# U21(X1, X2, X3) -> proper# X3, proper# U212(X1, X2) -> proper# X1, proper# U212(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X1, proper# U222(X1, X2, X3) -> proper# X2, proper# U222(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X1, proper# U31(X1, X2, X3) -> proper# X2, proper# U31(X1, X2, X3) -> proper# X3, proper# U42 X -> proper# X, proper# U41(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2, proper# U52 X -> proper# X, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U61 X -> proper# X, proper# U71 X -> proper# X, proper# U81 X -> proper# X, proper# U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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 (55): Strict: { active# U102 X -> active# X, active# U101(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# U111 X -> active# X, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U121 X -> active# X, active# U132 X -> active# X, active# U131(X1, X2) -> active# X1, active# U142 X -> active# X, active# U141(X1, X2) -> active# X1, active# U152 X -> active# X, active# U151(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1, active# natsFrom X -> active# X, active# s X -> active# X, active# U161(X1, X2) -> active# X1, active# U172(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U182(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# U191(X1, X2) -> active# X1, active# U202(X1, X2, X3, X4) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1, active# U203(X1, X2, X3, X4) -> active# X1, active# U204(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1, active# U21(X1, X2, X3) -> active# X1, active# U212(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1, active# U222(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1, active# fst X -> active# X, active# U32(X1, X2) -> active# X1, active# U31(X1, X2, X3) -> active# X1, active# U42 X -> active# X, active# U41(X1, X2) -> active# X1, active# U52 X -> active# X, active# U51(X1, X2) -> active# X1, active# U61 X -> active# X, active# U71 X -> active# X, active# U81 X -> active# X, active# U91 X -> active# X, 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: {U52# mark X -> U52# X, U52# ok X -> U52# X} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: {U42# mark X -> U42# X, U42# ok X -> U42# X} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U32#(mark X1, X2) -> U32#(X1, X2), U32#(ok X1, ok X2) -> U32#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U221#(mark X1, X2, X3) -> U221#(X1, X2, X3), U221#(ok X1, ok X2, ok X3) -> U221#(X1, X2, X3)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U222#(mark X1, X2, X3) -> U222#(X1, X2, X3), U222#(ok X1, ok X2, ok X3) -> U222#(X1, X2, X3)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U211#(mark X1, X2) -> U211#(X1, X2), U211#(ok X1, ok X2) -> U211#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U212#(mark X1, X2) -> U212#(X1, X2), U212#(ok X1, ok X2) -> U212#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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, X3) -> U21#(X1, X2, X3), U21#(ok X1, ok X2, ok X3) -> U21#(X1, X2, X3)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U22#(mark X1, X2) -> U22#(X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U204#(mark X1, X2) -> U204#(X1, X2), U204#(ok X1, ok X2) -> U204#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U203#(mark X1, X2, X3, X4) -> U203#(X1, X2, X3, X4), U203#(ok X1, ok X2, ok X3, ok X4) -> U203#(X1, X2, X3, X4)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U202#(mark X1, X2, X3, X4) -> U202#(X1, X2, X3, X4), U202#(ok X1, ok X2, ok X3, ok X4) -> U202#(X1, X2, X3, X4)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U182#(mark X1, X2) -> U182#(X1, X2), U182#(ok X1, ok X2) -> U182#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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, X3) -> U31#(X1, X2, X3), U31#(ok X1, ok X2, ok X3) -> U31#(X1, X2, X3)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U171#(mark X1, X2, X3) -> U171#(X1, X2, X3), U171#(ok X1, ok X2, ok X3) -> U171#(X1, X2, X3)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U172#(mark X1, X2, X3) -> U172#(X1, X2, X3), U172#(ok X1, ok X2, ok X3) -> U172#(X1, X2, X3)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U161#(mark X1, X2) -> U161#(X1, X2), U161#(ok X1, ok X2) -> U161#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U151#(mark X1, X2) -> U151#(X1, X2), U151#(ok X1, ok X2) -> U151#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: {U152# mark X -> U152# X, U152# ok X -> U152# X} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U141#(mark X1, X2) -> U141#(X1, X2), U141#(ok X1, ok X2) -> U141#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: {U142# mark X -> U142# X, U142# ok X -> U142# X} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U131#(mark X1, X2) -> U131#(X1, X2), U131#(ok X1, ok X2) -> U131#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: {U132# mark X -> U132# X, U132# ok X -> U132# X} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: {U121# mark X -> U121# X, U121# ok X -> U121# X} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U191#(mark X1, X2) -> U191#(X1, X2), U191#(ok X1, ok X2) -> U191#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U201#(mark X1, X2, X3, X4) -> U201#(X1, X2, X3, X4), U201#(ok X1, ok X2, ok X3, ok X4) -> U201#(X1, X2, X3, X4)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U181#(mark X1, X2) -> U181#(X1, X2), U181#(ok X1, ok X2) -> U181#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: {U111# mark X -> U111# X, U111# ok X -> U111# X} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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) -> U101#(X1, X2), U101#(ok X1, ok X2) -> U101#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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 X -> U91# X, U91# ok X -> U91# X} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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 X -> U61# X, U61# ok X -> U61# X} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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 X -> U71# X, U71# ok X -> U71# X} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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) -> U51#(X1, X2), U51#(ok X1, ok X2) -> U51#(X1, X2)} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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 X -> U81# X, U81# ok X -> U81# X} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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: {U102# mark X -> U102# X, U102# ok X -> U102# X} Weak: { U102 mark X -> mark U102 X, U102 ok X -> ok U102 X, isLNat ok X -> ok isLNat X, active U102 X -> U102 active X, active U102 tt() -> mark tt(), active isLNat snd V1 -> mark U81 isPLNat V1, active isLNat cons(V1, V2) -> mark U51(isNatural V1, V2), active isLNat natsFrom V1 -> mark U71 isNatural V1, active isLNat afterNth(V1, V2) -> mark U41(isNatural V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61 isPLNat V1, active isLNat tail V1 -> mark U91 isLNat V1, active isLNat take(V1, V2) -> mark U101(isNatural V1, V2), active U101(X1, X2) -> U101(active X1, X2), active U101(tt(), V2) -> mark U102 isLNat V2, active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(isLNat XS, N, XS), active U111 X -> U111 active X, active U111 tt() -> mark tt(), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(isLNat X, Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U201(isNatural N, N, X, XS), active splitAt(0(), XS) -> mark U191(isLNat XS, XS), active U121 X -> U121 active X, active U121 tt() -> mark tt(), active U132 X -> U132 active X, active U132 tt() -> mark tt(), active U131(X1, X2) -> U131(active X1, X2), active U131(tt(), V2) -> mark U132 isLNat V2, active U142 X -> U142 active X, active U142 tt() -> mark tt(), active U141(X1, X2) -> U141(active X1, X2), active U141(tt(), V2) -> mark U142 isLNat V2, active U152 X -> U152 active X, active U152 tt() -> mark tt(), active U151(X1, X2) -> U151(active X1, X2), active U151(tt(), V2) -> mark U152 isLNat V2, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U161(X1, X2) -> U161(active X1, X2), active U161(tt(), N) -> mark cons(N, natsFrom s N), active U172(X1, X2, X3) -> U172(active X1, X2, X3), active U172(tt(), N, XS) -> mark head afterNth(N, XS), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark U172(isLNat XS, N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(isNatural N, N, XS), active afterNth(N, XS) -> mark U11(isNatural N, N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U182(X1, X2) -> U182(active X1, X2), active U182(tt(), Y) -> mark Y, active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark U182(isLNat Y, Y), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U191(X1, X2) -> U191(active X1, X2), active U191(tt(), XS) -> mark pair(nil(), XS), active U202(X1, X2, X3, X4) -> U202(active X1, X2, X3, X4), active U202(tt(), N, X, XS) -> mark U203(isLNat XS, N, X, XS), active isNatural s V1 -> mark U121 isNatural V1, active isNatural head V1 -> mark U111 isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(isNatural V1, V2), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(isNatural X, N, X, XS), active U203(X1, X2, X3, X4) -> U203(active X1, X2, X3, X4), active U203(tt(), N, X, XS) -> mark U204(splitAt(N, XS), X), active U204(X1, X2) -> U204(active X1, X2), active U204(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2, X3) -> U21(active X1, X2, X3), active U21(tt(), X, Y) -> mark U22(isLNat Y, X), active U212(X1, X2) -> U212(active X1, X2), active U212(tt(), XS) -> mark XS, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark U212(isLNat XS, XS), active U222(X1, X2, X3) -> U222(active X1, X2, X3), active U222(tt(), N, XS) -> mark fst splitAt(N, XS), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark U222(isLNat XS, N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(isLNat X, X, Y), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2, X3) -> U31(active X1, X2, X3), active U31(tt(), N, XS) -> mark U32(isLNat XS, N), active U42 X -> U42 active X, active U42 tt() -> mark tt(), active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), V2) -> mark U42 isLNat V2, active U52 X -> U52 active X, active U52 tt() -> mark tt(), active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), V2) -> mark U52 isLNat V2, active U61 X -> U61 active X, active U61 tt() -> mark tt(), active U71 X -> U71 active X, active U71 tt() -> mark tt(), active U81 X -> U81 active X, active U81 tt() -> mark tt(), active U91 X -> U91 active X, active U91 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(isNatural V1, V2), active isPLNat pair(V1, V2) -> mark U141(isLNat V1, V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(isNatural N, XS), active take(N, XS) -> mark U221(isNatural N, N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(isNatural N, N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2) -> mark U101(X1, X2), U101(ok X1, ok X2) -> ok U101(X1, X2), U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U111 mark X -> mark U111 X, U111 ok X -> ok U111 X, snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U121 mark X -> mark U121 X, U121 ok X -> ok U121 X, U132 mark X -> mark U132 X, U132 ok X -> ok U132 X, U131(mark X1, X2) -> mark U131(X1, X2), U131(ok X1, ok X2) -> ok U131(X1, X2), U142 mark X -> mark U142 X, U142 ok X -> ok U142 X, U141(mark X1, X2) -> mark U141(X1, X2), U141(ok X1, ok X2) -> ok U141(X1, X2), U152 mark X -> mark U152 X, U152 ok X -> ok U152 X, U151(mark X1, X2) -> mark U151(X1, X2), U151(ok X1, ok X2) -> ok U151(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, U161(mark X1, X2) -> mark U161(X1, X2), U161(ok X1, ok X2) -> ok U161(X1, X2), U172(mark X1, X2, X3) -> mark U172(X1, X2, X3), U172(ok X1, ok X2, ok X3) -> ok U172(X1, X2, X3), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U182(mark X1, X2) -> mark U182(X1, X2), U182(ok X1, ok X2) -> ok U182(X1, X2), U181(mark X1, X2) -> mark U181(X1, X2), U181(ok X1, ok X2) -> ok U181(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), U191(mark X1, X2) -> mark U191(X1, X2), U191(ok X1, ok X2) -> ok U191(X1, X2), U202(mark X1, X2, X3, X4) -> mark U202(X1, X2, X3, X4), U202(ok X1, ok X2, ok X3, ok X4) -> ok U202(X1, X2, X3, X4), isNatural ok X -> ok isNatural X, U201(mark X1, X2, X3, X4) -> mark U201(X1, X2, X3, X4), U201(ok X1, ok X2, ok X3, ok X4) -> ok U201(X1, X2, X3, X4), U203(mark X1, X2, X3, X4) -> mark U203(X1, X2, X3, X4), U203(ok X1, ok X2, ok X3, ok X4) -> ok U203(X1, X2, X3, X4), U204(mark X1, X2) -> mark U204(X1, X2), U204(ok X1, ok X2) -> ok U204(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2, X3) -> mark U21(X1, X2, X3), U21(ok X1, ok X2, ok X3) -> ok U21(X1, X2, X3), U212(mark X1, X2) -> mark U212(X1, X2), U212(ok X1, ok X2) -> ok U212(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), U222(mark X1, X2, X3) -> mark U222(X1, X2, X3), U222(ok X1, ok X2, ok X3) -> ok U222(X1, X2, X3), U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2, X3) -> mark U31(X1, X2, X3), U31(ok X1, ok X2, ok X3) -> ok U31(X1, X2, X3), U42 mark X -> mark U42 X, U42 ok X -> ok U42 X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), U52 mark X -> mark U52 X, U52 ok X -> ok U52 X, U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U61 mark X -> mark U61 X, U61 ok X -> ok U61 X, U71 mark X -> mark U71 X, U71 ok X -> ok U71 X, U81 mark X -> mark U81 X, U81 ok X -> ok U81 X, U91 mark X -> mark U91 X, U91 ok X -> ok U91 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 U102 X -> U102 proper X, proper isLNat X -> isLNat proper X, proper U101(X1, X2) -> U101(proper X1, proper X2), proper tt() -> ok tt(), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U111 X -> U111 proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U121 X -> U121 proper X, proper U132 X -> U132 proper X, proper U131(X1, X2) -> U131(proper X1, proper X2), proper U142 X -> U142 proper X, proper U141(X1, X2) -> U141(proper X1, proper X2), proper U152 X -> U152 proper X, proper U151(X1, X2) -> U151(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 U161(X1, X2) -> U161(proper X1, proper X2), proper U172(X1, X2, X3) -> U172(proper X1, proper X2, proper X3), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U182(X1, X2) -> U182(proper X1, proper X2), proper U181(X1, X2) -> U181(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U191(X1, X2) -> U191(proper X1, proper X2), proper U202(X1, X2, X3, X4) -> U202(proper X1, proper X2, proper X3, proper X4), proper isNatural X -> isNatural proper X, proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U203(X1, X2, X3, X4) -> U203(proper X1, proper X2, proper X3, proper X4), proper U204(X1, X2) -> U204(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2, X3) -> U21(proper X1, proper X2, proper X3), proper U212(X1, X2) -> U212(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper U222(X1, X2, X3) -> U222(proper X1, proper X2, proper X3), proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2, X3) -> U31(proper X1, proper X2, proper X3), proper U42 X -> U42 proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper U52 X -> U52 proper X, proper U51(X1, X2) -> U51(proper X1, proper X2), proper U61 X -> U61 proper X, proper U71 X -> U71 proper X, proper U81 X -> U81 proper X, proper U91 X -> U91 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