MAYBE Time: 13.601491 TRS: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> U102#(X1, X2), U102#(ok X1, ok X2) -> U102#(X1, X2), isNatural# ok X -> isNatural# X, active# U102(X1, X2) -> U102#(active X1, X2), active# U102(X1, X2) -> active# X1, active# U102(tt(), V2) -> U103# isLNat V2, active# U102(tt(), V2) -> isLNat# V2, active# isNatural s V1 -> U121#(isNaturalKind V1, V1), active# isNatural s V1 -> isNaturalKind# V1, active# isNatural head V1 -> U111#(isLNatKind V1, V1), active# isNatural head V1 -> isLNatKind# V1, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2), active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), active# isNatural sel(V1, V2) -> isNaturalKind# V1, active# isNatural sel(V1, V2) -> isLNatKind# V2, active# U101(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3), active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2), active# U101(tt(), V1, V2) -> isNatural# V1, active# U103 X -> active# X, active# U103 X -> U103# active X, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1), active# isLNat snd V1 -> isPLNatKind# V1, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2), active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), active# isLNat cons(V1, V2) -> isNaturalKind# V1, active# isLNat cons(V1, V2) -> isLNatKind# V2, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1), active# isLNat natsFrom V1 -> isNaturalKind# V1, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2), active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), active# isLNat afterNth(V1, V2) -> isNaturalKind# V1, active# isLNat afterNth(V1, V2) -> isLNatKind# V2, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1), active# isLNat fst V1 -> isPLNatKind# V1, active# isLNat tail V1 -> U91#(isLNatKind V1, V1), active# isLNat tail V1 -> isLNatKind# V1, active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2), active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), active# isLNat take(V1, V2) -> isNaturalKind# V1, active# isLNat take(V1, V2) -> isLNatKind# V2, active# snd X -> active# X, active# snd X -> snd# active X, active# snd pair(X, Y) -> isLNat# Y, active# snd pair(X, Y) -> isLNat# X, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y), active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y), active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X), active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), active# snd pair(X, Y) -> isLNatKind# Y, active# snd pair(X, Y) -> isLNatKind# X, 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)) -> isNatural# X, active# splitAt(s N, cons(X, XS)) -> isLNat# XS, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N), active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X), active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS), active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)), active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X, active# splitAt(s N, cons(X, XS)) -> isLNatKind# XS, active# splitAt(0(), XS) -> isLNat# XS, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS), active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS), active# splitAt(0(), XS) -> isLNatKind# XS, active# U11(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3), active# U11(tt(), N, XS) -> snd# splitAt(N, XS), active# U11(tt(), N, XS) -> splitAt#(N, XS), active# U112 X -> active# X, active# U112 X -> U112# active X, active# U111(X1, X2) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2), active# U111(tt(), V1) -> isLNat# V1, active# U111(tt(), V1) -> U112# isLNat V1, active# U122 X -> active# X, active# U122 X -> U122# active X, active# U121(X1, X2) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2), active# U121(tt(), V1) -> isNatural# V1, active# U121(tt(), V1) -> U122# isNatural V1, active# U132(X1, X2) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2), active# U132(tt(), V2) -> isLNat# V2, active# U132(tt(), V2) -> U133# isLNat V2, active# U131(X1, X2, X3) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3), active# U131(tt(), V1, V2) -> isNatural# V1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2), active# U133 X -> active# X, active# U133 X -> U133# active X, active# U142(X1, X2) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2), active# U142(tt(), V2) -> isLNat# V2, active# U142(tt(), V2) -> U143# isLNat V2, active# U141(X1, X2, X3) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3), active# U141(tt(), V1, V2) -> isLNat# V1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2), active# U143 X -> active# X, active# U143 X -> U143# active X, active# U152(X1, X2) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2), active# U152(tt(), V2) -> isLNat# V2, active# U152(tt(), V2) -> U153# isLNat V2, active# U151(X1, X2, X3) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3), active# U151(tt(), V1, V2) -> isNatural# V1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2), active# U153 X -> active# X, active# U153 X -> U153# active X, active# cons(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2), active# natsFrom N -> isNatural# N, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N), active# natsFrom N -> and#(isNatural N, isNaturalKind N), active# natsFrom N -> isNaturalKind# 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# head X -> active# X, active# head X -> head# active X, active# head cons(N, XS) -> isNatural# N, active# head cons(N, XS) -> isLNat# XS, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N), active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS), active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), active# head cons(N, XS) -> isNaturalKind# N, active# head cons(N, XS) -> isLNatKind# XS, active# afterNth(N, XS) -> isNatural# N, active# afterNth(N, XS) -> isLNat# XS, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N), active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS), active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), active# afterNth(N, XS) -> isNaturalKind# N, active# afterNth(N, XS) -> isLNatKind# XS, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(X1, active X2), active# afterNth(X1, X2) -> afterNth#(active X1, X2), active# U171(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3), active# U171(tt(), N, XS) -> head# afterNth(N, XS), active# U171(tt(), N, XS) -> afterNth#(N, XS), active# U181(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2), active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(X1, active X2), active# pair(X1, X2) -> pair#(active X1, X2), active# U191(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2), active# U191(tt(), XS) -> pair#(nil(), XS), active# U202(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2), active# U202(pair(YS, ZS), X) -> cons#(X, YS), active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), 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) -> splitAt#(N, XS), active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X), active# U21(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2), active# U211(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2), active# fst X -> active# X, active# fst X -> fst# active X, active# fst pair(X, Y) -> isLNat# Y, active# fst pair(X, Y) -> isLNat# X, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y), active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X), active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), active# fst pair(X, Y) -> isLNatKind# Y, active# fst pair(X, Y) -> isLNatKind# X, active# U221(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3), active# U221(tt(), N, XS) -> splitAt#(N, XS), active# U221(tt(), N, XS) -> fst# splitAt(N, XS), active# U31(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2), active# U42(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2), active# U42(tt(), V2) -> isLNat# V2, active# U42(tt(), V2) -> U43# isLNat V2, active# U41(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3), active# U41(tt(), V1, V2) -> isNatural# V1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2), active# U43 X -> active# X, active# U43 X -> U43# active X, active# U52(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2), active# U52(tt(), V2) -> isLNat# V2, active# U52(tt(), V2) -> U53# isLNat V2, active# U51(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3), active# U51(tt(), V1, V2) -> isNatural# V1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2), active# U53 X -> active# X, active# U53 X -> U53# active X, active# U62 X -> active# X, active# U62 X -> U62# active X, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2), active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2), active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2), active# isPLNat pair(V1, V2) -> isLNatKind# V1, active# isPLNat pair(V1, V2) -> isLNatKind# V2, active# U61(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2), active# U61(tt(), V1) -> U62# isPLNat V1, active# U61(tt(), V1) -> isPLNat# V1, active# U72 X -> active# X, active# U72 X -> U72# active X, active# U71(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2), active# U71(tt(), V1) -> isNatural# V1, active# U71(tt(), V1) -> U72# isNatural V1, active# U82 X -> active# X, active# U82 X -> U82# active X, active# U81(X1, X2) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2), active# U81(tt(), V1) -> isPLNat# V1, active# U81(tt(), V1) -> U82# isPLNat V1, active# U92 X -> active# X, active# U92 X -> U92# active X, active# U91(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2), active# U91(tt(), V1) -> isLNat# V1, active# U91(tt(), V1) -> U92# isLNat V1, active# and(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2), active# isNaturalKind s V1 -> isNaturalKind# V1, active# isNaturalKind head V1 -> isLNatKind# V1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2, active# isLNatKind snd V1 -> isPLNatKind# V1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), active# isLNatKind cons(V1, V2) -> isNaturalKind# V1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2, active# isLNatKind natsFrom V1 -> isNaturalKind# V1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2, active# isLNatKind fst V1 -> isPLNatKind# V1, active# isLNatKind tail V1 -> isLNatKind# V1, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), active# isLNatKind take(V1, V2) -> isNaturalKind# V1, active# isLNatKind take(V1, V2) -> isLNatKind# V2, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2), active# isPLNatKind pair(V1, V2) -> isLNatKind# V1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2, active# tail X -> active# X, active# tail X -> tail# active X, active# tail cons(N, XS) -> isNatural# N, active# tail cons(N, XS) -> isLNat# XS, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N), active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS), active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), active# tail cons(N, XS) -> isNaturalKind# N, active# tail cons(N, XS) -> isLNatKind# XS, active# take(N, XS) -> isNatural# N, active# take(N, XS) -> isLNat# XS, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active# take(N, XS) -> and#(isNatural N, isNaturalKind N), active# take(N, XS) -> and#(isLNat XS, isLNatKind XS), active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), active# take(N, XS) -> isNaturalKind# N, active# take(N, XS) -> isLNatKind# 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) -> isNatural# N, active# sel(N, XS) -> isLNat# XS, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active# sel(N, XS) -> and#(isNatural N, isNaturalKind N), active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS), active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), active# sel(N, XS) -> isNaturalKind# N, active# sel(N, XS) -> isLNatKind# XS, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2), active# sel(X1, X2) -> sel#(active X1, X2), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3), U103# mark X -> U103# X, U103# ok X -> U103# X, isLNat# ok X -> isLNat# 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), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3), U112# mark X -> U112# X, U112# ok X -> U112# X, U111#(mark X1, X2) -> U111#(X1, X2), U111#(ok X1, ok X2) -> U111#(X1, X2), U122# mark X -> U122# X, U122# ok X -> U122# X, U121#(mark X1, X2) -> U121#(X1, X2), U121#(ok X1, ok X2) -> U121#(X1, X2), U132#(mark X1, X2) -> U132#(X1, X2), U132#(ok X1, ok X2) -> U132#(X1, X2), U131#(mark X1, X2, X3) -> U131#(X1, X2, X3), U131#(ok X1, ok X2, ok X3) -> U131#(X1, X2, X3), U133# mark X -> U133# X, U133# ok X -> U133# X, U142#(mark X1, X2) -> U142#(X1, X2), U142#(ok X1, ok X2) -> U142#(X1, X2), U141#(mark X1, X2, X3) -> U141#(X1, X2, X3), U141#(ok X1, ok X2, ok X3) -> U141#(X1, X2, X3), U143# mark X -> U143# X, U143# ok X -> U143# X, U152#(mark X1, X2) -> U152#(X1, X2), U152#(ok X1, ok X2) -> U152#(X1, X2), U151#(mark X1, X2, X3) -> U151#(X1, X2, X3), U151#(ok X1, ok X2, ok X3) -> U151#(X1, X2, X3), U153# mark X -> U153# X, U153# ok X -> U153# X, 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), 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), U171#(mark X1, X2, X3) -> U171#(X1, X2, X3), U171#(ok X1, ok X2, ok X3) -> U171#(X1, X2, X3), 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) -> U202#(X1, X2), U202#(ok X1, ok X2) -> U202#(X1, X2), 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), U21#(mark X1, X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2), U211#(mark X1, X2) -> U211#(X1, X2), U211#(ok X1, ok X2) -> U211#(X1, X2), fst# mark X -> fst# X, fst# ok X -> fst# X, U221#(mark X1, X2, X3) -> U221#(X1, X2, X3), U221#(ok X1, ok X2, ok X3) -> U221#(X1, X2, X3), U31#(mark X1, X2) -> U31#(X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2), U42#(mark X1, X2) -> U42#(X1, X2), U42#(ok X1, ok X2) -> U42#(X1, X2), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3), U43# mark X -> U43# X, U43# ok X -> U43# X, U52#(mark X1, X2) -> U52#(X1, X2), U52#(ok X1, ok X2) -> U52#(X1, X2), U51#(mark X1, X2, X3) -> U51#(X1, X2, X3), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3), U53# mark X -> U53# X, U53# ok X -> U53# X, U62# mark X -> U62# X, U62# ok X -> U62# X, isPLNat# ok X -> isPLNat# X, U61#(mark X1, X2) -> U61#(X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2), U72# mark X -> U72# X, U72# ok X -> U72# X, U71#(mark X1, X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2), U82# mark X -> U82# X, U82# ok X -> U82# X, U81#(mark X1, X2) -> U81#(X1, X2), U81#(ok X1, ok X2) -> U81#(X1, X2), U92# mark X -> U92# X, U92# ok X -> U92# X, U91#(mark X1, X2) -> U91#(X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2), and#(mark X1, X2) -> and#(X1, X2), and#(ok X1, ok X2) -> and#(X1, X2), isNaturalKind# ok X -> isNaturalKind# X, isLNatKind# ok X -> isLNatKind# X, isPLNatKind# ok X -> isPLNatKind# 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(X1, X2) -> U102#(proper X1, proper X2), proper# U102(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X, proper# isNatural X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3), proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3, proper# U103 X -> U103# proper X, proper# U103 X -> proper# X, proper# isLNat X -> isLNat# proper X, proper# isLNat 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# 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# U112 X -> U112# proper X, proper# U112 X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2), proper# U111(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X, proper# U122 X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2), proper# U121(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2), proper# U132(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3), proper# U131(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3, proper# U133 X -> U133# proper X, proper# U133 X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2), proper# U142(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3), proper# U141(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3, proper# U143 X -> U143# proper X, proper# U143 X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2), proper# U152(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3), proper# U151(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3, proper# U153 X -> U153# proper X, proper# U153 X -> proper# X, 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# 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# 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# 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) -> U202#(proper X1, proper X2), proper# U202(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2, 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# U21(X1, X2) -> U21#(proper X1, proper X2), proper# U21(X1, X2) -> proper# X1, proper# U21(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# fst X -> fst# proper X, proper# fst X -> proper# X, 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# U31(X1, X2) -> U31#(proper X1, proper X2), proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2), proper# U42(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3), proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# U43 X -> U43# proper X, proper# U43 X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2), proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3), proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3, proper# U53 X -> U53# proper X, proper# U53 X -> proper# X, proper# U62 X -> U62# proper X, proper# U62 X -> proper# X, proper# isPLNat X -> isPLNat# proper X, proper# isPLNat X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2), proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X, proper# U72 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2), proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X, proper# U82 X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2), proper# U81(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X, proper# U92 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2), proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2), proper# and(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X, proper# isNaturalKind X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X, proper# isLNatKind X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X, proper# isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X } UR: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2) } EDG: { (active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2), U132#(ok X1, ok X2) -> U132#(X1, X2)) (active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2), U132#(mark X1, X2) -> U132#(X1, X2)) (active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2), U152#(ok X1, ok X2) -> U152#(X1, X2)) (active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2), U152#(mark X1, X2) -> U152#(X1, X2)) (active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2), U52#(ok X1, ok X2) -> U52#(X1, X2)) (active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2), U52#(mark X1, X2) -> U52#(X1, X2)) (active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), and#(ok X1, ok X2) -> and#(X1, X2)) (active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), and#(mark X1, X2) -> and#(X1, X2)) (active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)), and#(ok X1, ok X2) -> and#(X1, X2)) (active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)), and#(mark X1, X2) -> and#(X1, X2)) (active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), and#(ok X1, ok X2) -> and#(X1, X2)) (active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), and#(mark X1, X2) -> and#(X1, X2)) (active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), and#(ok X1, ok X2) -> and#(X1, X2)) (active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), and#(mark X1, X2) -> and#(X1, X2)) (active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), and#(ok X1, ok X2) -> and#(X1, X2)) (active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), and#(mark X1, X2) -> and#(X1, X2)) (active# isNatural sel(V1, V2) -> isLNatKind# V2, isLNatKind# ok X -> isLNatKind# X) (active# isLNat afterNth(V1, V2) -> isLNatKind# V2, isLNatKind# ok X -> isLNatKind# X) (active# U132(tt(), V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# U152(tt(), V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# U52(tt(), V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# isPLNat pair(V1, V2) -> isLNatKind# V2, isLNatKind# ok X -> isLNatKind# X) (active# isLNatKind cons(V1, V2) -> isLNatKind# V2, isLNatKind# ok X -> isLNatKind# X) (active# isLNatKind take(V1, V2) -> isLNatKind# V2, isLNatKind# ok X -> isLNatKind# X) (active# isPLNatKind pair(V1, V2) -> isLNatKind# V2, isLNatKind# ok X -> isLNatKind# X) (active# U102(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U102(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U102(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# sel(N, XS) -> isLNatKind# XS) (active# U102(X1, X2) -> active# X1, active# sel(N, XS) -> isNaturalKind# N) (active# U102(X1, X2) -> active# X1, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U102(X1, X2) -> active# X1, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U102(X1, X2) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U102(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U102(X1, X2) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U102(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U102(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U102(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U102(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# take(N, XS) -> isLNatKind# XS) (active# U102(X1, X2) -> active# X1, active# take(N, XS) -> isNaturalKind# N) (active# U102(X1, X2) -> active# X1, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U102(X1, X2) -> active# X1, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U102(X1, X2) -> active# X1, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U102(X1, X2) -> active# X1, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U102(X1, X2) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U102(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U102(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNatKind# XS) (active# U102(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNaturalKind# N) (active# U102(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U102(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U102(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U102(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# U102(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U102(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U102(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U102(X1, X2) -> active# X1, active# tail X -> active# X) (active# U102(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# U102(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U102(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U102(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U102(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U102(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U102(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# U102(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# U102(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U102(X1, X2) -> active# X1, active# isLNatKind tail V1 -> isLNatKind# V1) (active# U102(X1, X2) -> active# X1, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# U102(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# U102(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# U102(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U102(X1, X2) -> active# X1, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# U102(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# U102(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U102(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U102(X1, X2) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U102(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U102(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U102(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U102(X1, X2) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U102(X1, X2) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U102(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U102(X1, X2) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U102(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U92 X -> U92# active X) (active# U102(X1, X2) -> active# X1, active# U92 X -> active# X) (active# U102(X1, X2) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U102(X1, X2) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U102(X1, X2) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U82 X -> U82# active X) (active# U102(X1, X2) -> active# X1, active# U82 X -> active# X) (active# U102(X1, X2) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U102(X1, X2) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# U102(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U72 X -> U72# active X) (active# U102(X1, X2) -> active# X1, active# U72 X -> active# X) (active# U102(X1, X2) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# U102(X1, X2) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U102(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U102(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U102(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U102(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U102(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U102(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U102(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U102(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U102(X1, X2) -> active# X1, active# U62 X -> U62# active X) (active# U102(X1, X2) -> active# X1, active# U62 X -> active# X) (active# U102(X1, X2) -> active# X1, active# U53 X -> U53# active X) (active# U102(X1, X2) -> active# X1, active# U53 X -> active# X) (active# U102(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U102(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U102(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U102(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U102(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U102(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U43 X -> U43# active X) (active# U102(X1, X2) -> active# X1, active# U43 X -> active# X) (active# U102(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U102(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U102(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U102(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U102(X1, X2) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U102(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U102(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# U102(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U102(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U102(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U102(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U102(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U102(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U102(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U102(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U102(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U102(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U102(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U102(X1, X2) -> active# X1, active# fst X -> active# X) (active# U102(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U102(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U102(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U102(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U102(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U102(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U202(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U102(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U102(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U102(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U102(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# U102(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U102(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U102(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U102(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U102(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNatKind# XS) (active# U102(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U102(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U102(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U102(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U102(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U102(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U102(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U102(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U102(X1, X2) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U102(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U102(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U102(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U102(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U102(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U102(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U102(X1, X2) -> active# X1, active# head X -> head# active X) (active# U102(X1, X2) -> active# X1, active# head X -> active# X) (active# U102(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U102(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U102(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U102(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# s X -> s# active X) (active# U102(X1, X2) -> active# X1, active# s X -> active# X) (active# U102(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U102(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U102(X1, X2) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# U102(X1, X2) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U102(X1, X2) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U102(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U102(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U153 X -> U153# active X) (active# U102(X1, X2) -> active# X1, active# U153 X -> active# X) (active# U102(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# U102(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# U102(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# U102(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# U102(X1, X2) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# U102(X1, X2) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U152(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U143 X -> U143# active X) (active# U102(X1, X2) -> active# X1, active# U143 X -> active# X) (active# U102(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# U102(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# U102(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# U102(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# U102(X1, X2) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# U102(X1, X2) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U133 X -> U133# active X) (active# U102(X1, X2) -> active# X1, active# U133 X -> active# X) (active# U102(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U102(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U102(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U102(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U102(X1, X2) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U102(X1, X2) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U102(X1, X2) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U102(X1, X2) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U121(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U122 X -> U122# active X) (active# U102(X1, X2) -> active# X1, active# U122 X -> active# X) (active# U102(X1, X2) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# U102(X1, X2) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# U102(X1, X2) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# U111(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# U112 X -> U112# active X) (active# U102(X1, X2) -> active# X1, active# U112 X -> active# X) (active# U102(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U102(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U102(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U102(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U102(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNatKind# XS) (active# U102(X1, X2) -> active# X1, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# U102(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS)) (active# U102(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U102(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNatKind# XS) (active# U102(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# U102(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# U102(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# U102(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# U102(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# U102(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# U102(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# U102(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# U102(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U102(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# U102(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U102(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U102(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U102(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U102(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U102(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNatKind# X) (active# U102(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNatKind# Y) (active# U102(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U102(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U102(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U102(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (active# U102(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U102(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# U102(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U102(X1, X2) -> active# X1, active# snd X -> active# X) (active# U102(X1, X2) -> active# X1, active# 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splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# splitAt(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# splitAt(X1, X2) -> active# X1, active# fst X -> active# X) (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# U21(X1, X2) -> U21#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# splitAt(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, 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# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# splitAt(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# splitAt(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U202(X1, X2) -> 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(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# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, 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# 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) -> isLNatKind# XS) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# splitAt(X1, X2) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# splitAt(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# splitAt(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# splitAt(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# splitAt(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# splitAt(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# 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# 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 -> isNaturalKind# N) (active# splitAt(X1, X2) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# splitAt(X1, X2) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# splitAt(X1, X2) -> active# X1, active# natsFrom N -> isNatural# 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# U153 X -> U153# active X) (active# splitAt(X1, X2) -> active# X1, active# U153 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# splitAt(X1, X2) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U152(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U143 X -> U143# active X) (active# splitAt(X1, X2) -> active# X1, active# U143 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# splitAt(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# splitAt(X1, X2) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U142(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U133 X -> U133# active X) (active# splitAt(X1, X2) -> active# X1, active# U133 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# splitAt(X1, X2) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U132(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# splitAt(X1, X2) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U121(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U122 X -> U122# active X) (active# splitAt(X1, X2) -> active# X1, active# U122 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# splitAt(X1, X2) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# splitAt(X1, X2) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U111(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U112 X -> U112# active X) (active# splitAt(X1, X2) -> active# X1, active# U112 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# 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# splitAt(0(), XS) -> isLNatKind# XS) (active# splitAt(X1, X2) -> active# X1, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind 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)) -> isLNatKind# XS) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> 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) -> isLNatKind# X) (active# splitAt(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNatKind# Y) (active# splitAt(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# splitAt(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# splitAt(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# splitAt(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (active# splitAt(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# splitAt(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# splitAt(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# splitAt(X1, X2) -> active# X1, active# snd X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isLNatKind# V2) (active# splitAt(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# splitAt(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNatKind# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) (active# splitAt(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNatKind# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (active# splitAt(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (active# splitAt(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# splitAt(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# splitAt(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# splitAt(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# splitAt(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNatKind# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# splitAt(X1, X2) -> active# X1, active# U103 X -> U103# active X) (active# splitAt(X1, X2) -> active# X1, active# U103 X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# U101(tt(), V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# splitAt(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# splitAt(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# splitAt(X1, X2) -> active# X1, active# isNatural head V1 -> isLNatKind# V1) (active# splitAt(X1, X2) -> active# X1, active# isNatural head V1 -> U111#(isLNatKind V1, V1)) (active# splitAt(X1, X2) -> active# X1, active# isNatural s V1 -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X1, active# isNatural s V1 -> U121#(isNaturalKind V1, V1)) (active# splitAt(X1, X2) -> active# X1, active# U102(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# U102(tt(), V2) -> U103# isLNat V2) (active# splitAt(X1, X2) -> active# X1, active# U102(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U102(X1, X2) -> U102#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U111(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U111(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# sel(N, XS) -> isLNatKind# XS) (active# U111(X1, X2) -> active# X1, active# sel(N, XS) -> isNaturalKind# N) (active# U111(X1, X2) -> active# X1, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U111(X1, X2) -> active# X1, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U111(X1, X2) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U111(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U111(X1, X2) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U111(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U111(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U111(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U111(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# take(N, XS) -> isLNatKind# XS) (active# U111(X1, X2) -> active# X1, active# take(N, XS) -> isNaturalKind# N) (active# U111(X1, X2) -> active# X1, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U111(X1, X2) -> active# X1, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U111(X1, X2) -> active# X1, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U111(X1, X2) -> active# X1, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U111(X1, X2) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U111(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U111(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNatKind# XS) (active# U111(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNaturalKind# N) (active# U111(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U111(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U111(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U111(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# U111(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U111(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U111(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U111(X1, X2) -> active# X1, active# tail X -> active# X) (active# U111(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# U111(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U111(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U111(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U111(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U111(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U111(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# U111(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# U111(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U111(X1, X2) -> active# X1, active# isLNatKind tail V1 -> isLNatKind# V1) (active# U111(X1, X2) -> active# X1, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# U111(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# U111(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# U111(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U111(X1, X2) -> active# X1, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# U111(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# U111(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U111(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U111(X1, X2) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U111(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U111(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U111(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U111(X1, X2) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U111(X1, X2) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U111(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U111(X1, X2) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U111(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U92 X -> U92# active X) (active# U111(X1, X2) -> active# X1, active# U92 X -> active# X) (active# U111(X1, X2) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U111(X1, X2) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U111(X1, X2) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U82 X -> U82# active X) (active# U111(X1, X2) -> active# X1, active# U82 X -> active# X) (active# U111(X1, X2) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U111(X1, X2) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# U111(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U72 X -> U72# active X) (active# U111(X1, X2) -> active# X1, active# U72 X -> active# X) (active# U111(X1, X2) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# U111(X1, X2) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U111(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U111(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U111(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U111(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U111(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U111(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U111(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U111(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U111(X1, X2) -> active# X1, active# U62 X -> U62# active X) (active# U111(X1, X2) -> active# X1, active# U62 X -> active# X) (active# U111(X1, X2) -> active# X1, active# U53 X -> U53# active X) (active# U111(X1, X2) -> active# X1, active# U53 X -> active# X) (active# U111(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U111(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U111(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U111(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U111(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U111(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U43 X -> U43# active X) (active# U111(X1, X2) -> active# X1, active# U43 X -> active# X) (active# U111(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U111(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U111(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U111(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U111(X1, X2) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U111(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U111(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# U111(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U111(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U111(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U111(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U111(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U111(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U111(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U111(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U111(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U111(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U111(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U111(X1, X2) -> active# X1, active# fst X -> active# X) (active# U111(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U111(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U111(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U111(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U111(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U111(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# U202(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U111(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U111(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U111(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U111(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# U111(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U111(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U111(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U111(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U111(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNatKind# XS) (active# U111(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U111(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U111(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U111(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U111(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U111(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U111(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U111(X1, X2) -> active# X1, active# head cons(N, XS) -> 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-> natsFrom# s N) (active# U111(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U111(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U111(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U111(X1, X2) -> active# X1, active# s X -> s# active X) (active# U111(X1, X2) -> active# X1, active# s X -> active# X) (active# U111(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U111(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U111(X1, X2) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# U111(X1, X2) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U111(X1, X2) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U111(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U111(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U111(X1, X2) -> 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active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U132(X1, X2) -> active# X1, active# isLNatKind tail V1 -> isLNatKind# V1) (active# U132(X1, X2) -> active# X1, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# U132(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# U132(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# U132(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U132(X1, X2) -> active# X1, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# U132(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# U132(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U132(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U132(X1, X2) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U132(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U132(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U132(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U132(X1, X2) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U132(X1, X2) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U132(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U132(X1, X2) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U132(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U92 X -> U92# active X) (active# U132(X1, X2) -> active# X1, active# U92 X -> active# X) (active# U132(X1, X2) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U132(X1, X2) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U132(X1, X2) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U82 X -> U82# active X) (active# U132(X1, X2) -> active# X1, active# U82 X -> active# X) (active# U132(X1, X2) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U132(X1, X2) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# U132(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U72 X -> U72# active X) (active# U132(X1, X2) -> active# X1, active# U72 X -> active# X) (active# U132(X1, X2) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# U132(X1, X2) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U132(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U132(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U132(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U132(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U132(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U132(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U132(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U132(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U132(X1, X2) -> active# X1, active# U62 X -> U62# active X) (active# U132(X1, X2) -> active# X1, active# U62 X -> active# X) (active# U132(X1, X2) -> active# X1, active# U53 X -> U53# active X) (active# U132(X1, X2) -> active# X1, active# U53 X -> active# X) (active# U132(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U132(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U132(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U132(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U132(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U132(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U43 X -> U43# active X) (active# U132(X1, X2) -> active# X1, active# U43 X -> active# X) (active# U132(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U132(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U132(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U132(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U132(X1, X2) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U132(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U132(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# U132(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U132(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U132(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U132(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U132(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U132(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U132(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U132(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U132(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U132(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U132(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U132(X1, X2) -> active# X1, active# fst X -> active# X) (active# U132(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U132(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U132(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U132(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U132(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U132(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U202(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U132(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U132(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U132(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U132(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# U132(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U132(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U132(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U132(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U132(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNatKind# XS) (active# U132(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U132(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U132(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U132(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U132(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U132(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U132(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U132(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U132(X1, X2) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U132(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U132(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U132(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U132(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U132(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U132(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U132(X1, X2) -> active# X1, active# head X -> head# active X) (active# U132(X1, X2) -> active# X1, active# head X -> active# X) (active# U132(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U132(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U132(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U132(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# s X -> s# active X) (active# U132(X1, X2) -> active# X1, active# s X -> active# X) (active# U132(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U132(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U132(X1, X2) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# U132(X1, X2) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U132(X1, X2) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U132(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U132(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U153 X -> U153# active X) (active# U132(X1, X2) -> active# X1, active# U153 X -> active# X) (active# U132(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# U132(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# U132(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# U132(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# U132(X1, X2) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# U132(X1, X2) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U152(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U143 X -> U143# active X) (active# U132(X1, X2) -> active# X1, active# U143 X -> active# X) (active# U132(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# U132(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# U132(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# U132(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# U132(X1, X2) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# U132(X1, X2) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U133 X -> U133# active X) (active# U132(X1, X2) -> active# X1, active# U133 X -> active# X) (active# U132(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U132(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U132(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U132(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U132(X1, X2) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U132(X1, X2) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U132(X1, X2) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U132(X1, X2) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U132(X1, X2) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U132(X1, X2) -> 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V2) (active# U142(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U142(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# U142(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U142(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U142(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U142(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U142(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U142(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U142(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U142(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U142(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U142(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U142(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U142(X1, X2) -> active# X1, active# fst X -> active# X) (active# U142(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U142(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U142(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U142(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U142(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U142(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# U202(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U142(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U142(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U142(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U142(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# U142(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U142(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U142(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U142(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U142(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNatKind# XS) (active# U142(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U142(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U142(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U142(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U142(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U142(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U142(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U142(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U142(X1, X2) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U142(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U142(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U142(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U142(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U142(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U142(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U142(X1, X2) -> active# X1, active# head X -> head# active X) (active# U142(X1, X2) -> active# X1, active# head X -> active# X) (active# U142(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U142(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U142(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U142(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# s X -> s# active X) (active# U142(X1, X2) -> active# X1, active# s X -> active# X) (active# U142(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U142(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U142(X1, X2) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# U142(X1, X2) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U142(X1, X2) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U142(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U142(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U153 X -> U153# active X) (active# U142(X1, X2) -> active# X1, active# U153 X -> active# X) (active# U142(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# U142(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# U142(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# U142(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# U142(X1, X2) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# U142(X1, X2) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# U152(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U143 X -> U143# active X) (active# U142(X1, X2) -> active# X1, active# U143 X -> active# X) (active# U142(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# U142(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# U142(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# U142(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# U142(X1, X2) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# U142(X1, X2) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U133 X -> U133# active X) (active# U142(X1, X2) -> active# X1, active# U133 X -> active# X) (active# U142(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U142(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U142(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U142(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U142(X1, X2) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U142(X1, X2) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U142(X1, X2) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U142(X1, X2) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# U121(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U122 X -> U122# active X) (active# U142(X1, X2) -> active# X1, active# U122 X -> active# X) (active# U142(X1, X2) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# U142(X1, X2) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# U142(X1, X2) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# U111(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# U112 X -> U112# active X) (active# U142(X1, X2) -> active# X1, active# U112 X -> active# X) (active# U142(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U142(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U142(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U142(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U142(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNatKind# XS) (active# U142(X1, X2) -> active# X1, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# U142(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS)) (active# U142(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U142(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNatKind# XS) (active# U142(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# U142(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# U142(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# U142(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# U142(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# U142(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# U142(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# U142(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# U142(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U142(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# U142(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U142(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U142(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U142(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U142(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U142(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNatKind# X) (active# U142(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNatKind# Y) (active# U142(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U142(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U142(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind 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-> active# X1, active# U53 X -> U53# active X) (active# U152(X1, X2) -> active# X1, active# U53 X -> active# X) (active# U152(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U152(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U152(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U152(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U152(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U152(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U152(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U152(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U152(X1, X2) -> active# X1, active# U43 X -> U43# active X) (active# U152(X1, X2) -> active# X1, active# U43 X -> active# X) (active# U152(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U152(X1, X2) 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-> U91#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U92 X -> U92# active X) (active# cons(X1, X2) -> active# X1, active# U92 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# cons(X1, X2) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# cons(X1, X2) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U81(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U82 X -> U82# active X) (active# cons(X1, X2) -> active# X1, active# U82 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# cons(X1, X2) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# cons(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U72 X -> U72# active X) (active# cons(X1, X2) -> active# X1, active# U72 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# cons(X1, X2) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# cons(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# cons(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# cons(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# cons(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# cons(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# cons(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# cons(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# cons(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# cons(X1, X2) -> active# X1, active# U62 X -> U62# active X) (active# cons(X1, X2) -> active# X1, active# U62 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U53 X -> U53# active X) (active# cons(X1, X2) -> active# X1, active# U53 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# cons(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# cons(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# cons(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# cons(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# cons(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U43 X -> U43# active X) (active# cons(X1, X2) -> active# X1, active# U43 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# cons(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# cons(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# cons(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# cons(X1, X2) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# cons(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# cons(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# cons(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# cons(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# cons(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# cons(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# cons(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# cons(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# cons(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# cons(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# cons(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# cons(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# cons(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# cons(X1, X2) -> active# X1, active# fst X -> active# X) (active# cons(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# cons(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# cons(X1, X2) -> active# X1, active# 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# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# cons(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# cons(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U202(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# cons(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# cons(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# cons(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# cons(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# cons(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# cons(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> 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) -> isLNatKind# XS) (active# cons(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# cons(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# cons(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# cons(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# cons(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# cons(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# cons(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# cons(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# cons(X1, X2) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# cons(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# cons(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# cons(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# cons(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# cons(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# 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# U161(tt(), N) -> s# N) (active# cons(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# cons(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# cons(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# s X -> s# active X) (active# cons(X1, X2) -> active# X1, active# s X -> active# X) (active# cons(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# cons(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# cons(X1, X2) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# cons(X1, X2) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# cons(X1, X2) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# cons(X1, X2) -> active# X1, active# natsFrom N -> isNatural# 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# U153 X -> U153# active X) (active# cons(X1, X2) -> active# X1, active# U153 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# cons(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# cons(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) 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V2) (active# cons(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (active# cons(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# cons(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# cons(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# cons(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# cons(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# cons(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (active# cons(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# cons(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# cons(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNatKind# V1) (active# cons(X1, X2) -> active# X1, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# cons(X1, X2) -> active# X1, active# U103 X -> U103# active X) (active# cons(X1, X2) -> active# X1, active# U103 X -> active# X) (active# cons(X1, X2) -> active# X1, active# U101(tt(), V1, V2) -> isNatural# V1) (active# cons(X1, X2) -> active# X1, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (active# cons(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# cons(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# cons(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# cons(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# cons(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# cons(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# cons(X1, X2) -> active# 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active# fst pair(X, Y) -> isLNat# Y) (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# 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# U21(X1, X2) -> U21#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# afterNth(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, 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# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# afterNth(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# afterNth(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U202(X1, X2) -> 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(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# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, 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# 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) -> isLNatKind# XS) (active# afterNth(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# afterNth(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# 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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 -> isNaturalKind# N) (active# afterNth(X1, X2) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# afterNth(X1, X2) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# afterNth(X1, X2) -> active# X1, active# natsFrom N -> isNatural# 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# U153 X -> U153# active X) (active# afterNth(X1, X2) -> active# X1, active# U153 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# afterNth(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# afterNth(X1, X2) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U152(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U143 X -> U143# active X) (active# afterNth(X1, X2) -> active# X1, active# U143 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# afterNth(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# afterNth(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# afterNth(X1, X2) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U142(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U133 X -> U133# active X) (active# afterNth(X1, X2) -> active# X1, active# U133 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# afterNth(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# afterNth(X1, X2) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U132(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# afterNth(X1, X2) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U121(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U122 X -> U122# active X) (active# afterNth(X1, X2) -> active# X1, active# U122 X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# afterNth(X1, X2) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# afterNth(X1, X2) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# 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U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# afterNth(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# afterNth(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# afterNth(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# afterNth(X1, X2) -> active# X1, active# isNatural head V1 -> isLNatKind# V1) (active# afterNth(X1, X2) -> active# X1, active# isNatural head V1 -> U111#(isLNatKind V1, V1)) (active# afterNth(X1, X2) -> active# X1, active# isNatural s V1 -> isNaturalKind# V1) (active# afterNth(X1, X2) -> active# X1, active# isNatural s V1 -> U121#(isNaturalKind V1, V1)) (active# afterNth(X1, X2) -> active# X1, active# U102(tt(), V2) -> isLNat# V2) 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and#(isNatural N, isNaturalKind N)) (active# U181(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U181(X1, X2) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U181(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U181(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# take(X1, X2) -> 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) -> isLNatKind# XS) (active# U181(X1, X2) -> active# X1, active# take(N, XS) -> isNaturalKind# N) (active# U181(X1, X2) -> active# X1, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U181(X1, X2) -> active# X1, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U181(X1, X2) -> active# X1, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U181(X1, X2) -> active# X1, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U181(X1, X2) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U181(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U181(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNatKind# XS) (active# U181(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNaturalKind# N) (active# U181(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U181(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U181(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U181(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, 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active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U181(X1, X2) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U181(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U181(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U181(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U181(X1, X2) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U181(X1, X2) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U181(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U181(X1, X2) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U181(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U92 X -> U92# active X) (active# U181(X1, X2) -> active# X1, active# U92 X -> active# X) (active# U181(X1, X2) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U181(X1, X2) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U181(X1, X2) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U82 X -> U82# active X) (active# U181(X1, X2) -> active# X1, active# U82 X -> active# X) (active# U181(X1, X2) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U181(X1, X2) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# U181(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U72 X -> U72# active X) (active# U181(X1, X2) -> active# X1, active# U72 X -> active# X) (active# U181(X1, X2) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# U181(X1, X2) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U181(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U181(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U181(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U181(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U181(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U181(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U181(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U181(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U181(X1, X2) -> active# X1, active# U62 X -> U62# active X) (active# U181(X1, X2) -> active# X1, active# U62 X -> active# X) (active# U181(X1, X2) -> active# X1, active# U53 X -> U53# active X) (active# U181(X1, X2) -> active# X1, active# U53 X -> active# X) (active# U181(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U181(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U181(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U181(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U181(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# 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-> active# X1) (active# U181(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U181(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, 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# 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) -> isLNatKind# XS) (active# U181(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U181(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# 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-> isLNat# V2) (active# U181(X1, X2) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U133 X -> U133# active X) (active# U181(X1, X2) -> active# X1, active# U133 X -> active# X) (active# U181(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U181(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U181(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U181(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U181(X1, X2) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U181(X1, X2) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U181(X1, X2) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U181(X1, X2) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U181(X1, X2) -> active# X1, 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U11(tt(), N, XS) -> snd# splitAt(N, 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# splitAt(0(), XS) -> isLNatKind# XS) (active# U181(X1, X2) -> active# X1, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# U181(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind 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)) -> isLNatKind# XS) (active# U181(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# U181(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# U181(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# 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X2, X3, X4) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> isNatural# N) (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) -> isLNatKind# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> isNaturalKind# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U201(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U201(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> isLNat# 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) -> isLNatKind# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> isNaturalKind# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U201(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U201(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> isLNat# 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# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNatKind tail V1 -> isLNatKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# and(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U92 X -> U92# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U92 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U82 X -> U82# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U82 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U72 X -> U72# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U72 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U62 X -> U62# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U62 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U53 X -> U53# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U53 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U43 X -> U43# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U43 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, 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# fst pair(X, Y) -> isLNatKind# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U201(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U201(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U201(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U201(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (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 pair(X, Y) -> isLNat# Y) (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# 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# U21(X1, X2) -> U21#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, 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# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U202(X1, X2) -> 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(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# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, 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# 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) -> isLNatKind# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U201(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U201(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U201(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U201(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U201(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> isLNat# 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# 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 -> isNaturalKind# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U201(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U201(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> isNatural# 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# U153 X -> U153# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U153 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U152(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U143 X -> U143# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U143 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U133 X -> U133# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U133 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U121(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U122 X -> U122# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U122 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U111(X1, X2) -> active# X1) (active# U201(X1, X2, X3, X4) -> active# X1, active# U112 X -> U112# active X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U112 X -> active# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, 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# splitAt(0(), XS) -> isLNatKind# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind 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)) -> isLNatKind# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U201(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (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) -> isLNatKind# X) (active# U201(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> isLNatKind# Y) (active# U201(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U201(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U201(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U201(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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 pair(X, Y) -> isLNat# Y) (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# isLNat take(V1, V2) -> isLNatKind# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat take(V1, V2) -> isNaturalKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat tail V1 -> isLNatKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat fst V1 -> isPLNatKind# V1) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (active# U201(X1, X2, X3, X4) -> active# X1, active# isLNat 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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) -> isLNatKind# XS) (active# U211(X1, X2) -> active# X1, active# take(N, XS) -> isNaturalKind# N) (active# U211(X1, X2) -> active# X1, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U211(X1, X2) -> active# X1, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U211(X1, X2) -> active# X1, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U211(X1, X2) -> active# X1, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U211(X1, X2) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U211(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U211(X1, X2) -> active# X1, active# tail cons(N, XS) -> 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active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U211(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U211(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U211(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U211(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U211(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# U211(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# U211(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U211(X1, X2) -> active# X1, active# isLNatKind tail V1 -> isLNatKind# V1) (active# U211(X1, X2) -> active# X1, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# U211(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# U211(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# U211(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U211(X1, X2) -> active# X1, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# U211(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# U211(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U211(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U211(X1, X2) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U211(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U211(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U211(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U211(X1, X2) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U211(X1, X2) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U211(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U211(X1, X2) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U211(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U92 X -> U92# active X) (active# U211(X1, X2) -> active# X1, active# U92 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U211(X1, X2) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U211(X1, X2) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U82 X -> U82# active X) (active# U211(X1, X2) -> active# X1, active# U82 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U211(X1, X2) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# U211(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U72 X -> U72# active X) (active# U211(X1, X2) -> active# X1, active# U72 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# U211(X1, X2) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U211(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U211(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U211(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U211(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U211(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U211(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U211(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U211(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U211(X1, X2) -> active# X1, active# U62 X -> U62# active X) (active# U211(X1, X2) -> active# X1, active# U62 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U53 X -> U53# active X) (active# U211(X1, X2) -> active# X1, active# U53 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U211(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U211(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U211(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U211(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U211(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U43 X -> U43# active X) (active# U211(X1, X2) -> active# X1, active# U43 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U211(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U211(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U211(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U211(X1, X2) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U211(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U211(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, 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# fst pair(X, Y) -> isLNatKind# X) (active# U211(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U211(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U211(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U211(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U211(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U211(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U211(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (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# 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# U21(X1, X2) -> U21#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U211(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, 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# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U211(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U211(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U202(X1, X2) -> 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(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# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U211(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, 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# 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) -> isLNatKind# XS) (active# U211(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U211(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U211(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U211(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U211(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U211(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U211(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U211(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U211(X1, X2) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U211(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U211(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U211(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U211(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U211(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# 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# 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 -> isNaturalKind# N) (active# U211(X1, X2) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U211(X1, X2) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U211(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U211(X1, X2) -> active# 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U211(X1, X2) -> active# X1, active# U143 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# U211(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# U211(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# U211(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# U211(X1, X2) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# U211(X1, X2) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U211(X1, X2) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U211(X1, X2) -> active# X1, active# U133 X -> U133# active X) (active# U211(X1, X2) -> active# X1, active# U133 X -> active# X) (active# U211(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U211(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> 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isLNat# V2) (active# U31(X1, X2) -> active# X1, active# U102(tt(), V2) -> U103# isLNat V2) (active# U31(X1, X2) -> active# X1, active# U102(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U102(X1, X2) -> U102#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U41(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U41(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isLNatKind# XS) (active# U41(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNaturalKind# N) (active# U41(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U41(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U41(X1, X2, X3) -> active# X1, active# 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active# X1, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U41(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U41(X1, X2, X3) -> active# X1, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U41(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U41(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isLNatKind# XS) (active# U41(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNaturalKind# N) (active# U41(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U41(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U41(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U41(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# U41(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U41(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U41(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U41(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U41(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# U41(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U41(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U41(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U41(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U41(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) 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isLNatKind# V2) (active# U41(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U41(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U41(X1, X2, X3) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U41(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U41(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U41(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U41(X1, X2, X3) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U41(X1, X2, X3) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U41(X1, X2, X3) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# and(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U41(X1, X2, X3) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U41(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X) (active# U41(X1, X2, X3) -> active# X1, active# U92 X -> active# X) (active# U41(X1, X2, X3) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U41(X1, X2, X3) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U41(X1, X2, X3) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U82 X -> U82# active X) (active# U41(X1, X2, X3) -> active# X1, active# U82 X -> active# X) (active# U41(X1, X2, X3) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U41(X1, X2, X3) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# U41(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U72 X -> U72# active X) (active# U41(X1, X2, X3) -> active# X1, active# U72 X -> active# X) (active# U41(X1, X2, X3) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# U41(X1, X2, X3) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U41(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U41(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U41(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U41(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U41(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U41(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U41(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U41(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U41(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X) (active# U41(X1, X2, X3) -> active# X1, active# U62 X -> active# X) (active# U41(X1, X2, X3) -> active# X1, active# U53 X -> U53# active X) (active# U41(X1, X2, X3) -> active# X1, active# U53 X -> active# X) (active# U41(X1, X2, X3) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U41(X1, X2, X3) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U41(X1, X2, X3) -> active# X1, active# U51(X1, X2, 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U41(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U153 X -> U153# active X) (active# U41(X1, X2, X3) -> active# X1, active# U153 X -> active# X) (active# U41(X1, X2, X3) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# U41(X1, X2, X3) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# U41(X1, X2, X3) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# U41(X1, X2, X3) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# U41(X1, X2, X3) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# U41(X1, X2, X3) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U152(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> 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-> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U51(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U51(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U51(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U51(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U51(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U51(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U51(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U51(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U51(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U51(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U51(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U51(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U51(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U51(X1, X2, X3) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U51(X1, X2, X3) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# U202(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U51(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U51(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U51(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U51(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# U51(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U51(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U51(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U51(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNatKind# XS) (active# U51(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U51(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U51(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U51(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U51(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U51(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U51(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U51(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U51(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U51(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U51(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U51(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U51(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U51(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U51(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U51(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U51(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U51(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> s# N) (active# U51(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U51(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U51(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U51(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U51(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U51(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U51(X1, X2, X3) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# U51(X1, X2, X3) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U51(X1, X2, X3) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U51(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U51(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U153 X -> U153# active X) (active# U51(X1, X2, X3) -> active# X1, active# U153 X -> active# X) (active# U51(X1, X2, X3) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# U51(X1, X2, X3) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# U51(X1, X2, X3) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# U51(X1, X2, X3) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# U51(X1, X2, X3) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# U51(X1, X2, X3) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# U152(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U143 X -> U143# active X) (active# U51(X1, X2, X3) -> active# X1, active# U143 X -> active# X) (active# U51(X1, X2, X3) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# U51(X1, X2, X3) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# U51(X1, X2, X3) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# U51(X1, X2, X3) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# U51(X1, X2, X3) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# U51(X1, X2, X3) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U133 X -> U133# active X) (active# U51(X1, X2, X3) -> active# X1, active# U133 X -> active# X) (active# U51(X1, X2, X3) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U51(X1, X2, X3) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U51(X1, X2, X3) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U51(X1, X2, X3) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U51(X1, X2, X3) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U51(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U51(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U51(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U122 X -> U122# active X) (active# U51(X1, X2, X3) -> active# X1, active# U122 X -> active# X) (active# U51(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# U51(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# U51(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U112 X -> U112# active X) (active# U51(X1, X2, X3) -> active# X1, active# U112 X -> active# X) (active# U51(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U51(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U51(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U51(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNatKind# XS) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS)) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNatKind# XS) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U51(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNatKind# X) (active# U51(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNatKind# Y) (active# U51(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U51(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U51(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U51(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (active# U51(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U51(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# U51(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U51(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U51(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isLNatKind# V2) (active# U51(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNaturalKind# V1) (active# U51(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U51(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U51(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> isLNatKind# V1) (active# U51(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) (active# U51(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> isPLNatKind# V1) (active# U51(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (active# U51(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (active# U51(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (active# U51(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U51(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U51(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# U51(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# U51(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# U51(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (active# U51(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U51(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U51(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> isPLNatKind# V1) (active# U51(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# U51(X1, X2, X3) -> active# X1, active# U103 X -> U103# active X) (active# U51(X1, X2, X3) -> active# X1, active# U103 X -> active# X) (active# U51(X1, X2, X3) -> active# X1, active# U101(tt(), V1, V2) -> isNatural# V1) (active# U51(X1, X2, X3) -> active# X1, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (active# U51(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# U51(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# U51(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# U51(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U51(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U51(X1, X2, X3) -> active# X1, active# isNatural head V1 -> isLNatKind# V1) (active# U51(X1, X2, X3) -> active# X1, active# isNatural head V1 -> U111#(isLNatKind V1, V1)) (active# U51(X1, X2, X3) -> active# X1, active# isNatural s V1 -> isNaturalKind# V1) (active# U51(X1, X2, X3) -> active# X1, active# isNatural s V1 -> U121#(isNaturalKind V1, V1)) (active# U51(X1, X2, X3) -> active# X1, active# U102(tt(), V2) -> isLNat# V2) (active# U51(X1, X2, X3) -> active# X1, active# U102(tt(), V2) -> U103# isLNat V2) (active# U51(X1, X2, X3) -> active# X1, active# U102(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U102(X1, X2) -> U102#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, 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take(N, XS) -> isNatural# N) (active# U91(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNatKind# XS) (active# U91(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNaturalKind# N) (active# U91(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U91(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U91(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U91(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# U91(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U91(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U91(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U91(X1, X2) -> active# X1, active# tail X -> active# X) (active# U91(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# U91(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U91(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U91(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U91(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U91(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U91(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# U91(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# U91(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U91(X1, X2) -> active# X1, active# isLNatKind tail V1 -> isLNatKind# V1) (active# U91(X1, X2) -> active# X1, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# U91(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# U91(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# U91(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U91(X1, X2) -> active# X1, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# U91(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# U91(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U91(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U91(X1, X2) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U91(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U91(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U91(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U91(X1, X2) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U91(X1, X2) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U91(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U91(X1, X2) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U91(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U92 X -> U92# active X) (active# U91(X1, X2) -> active# X1, active# U92 X -> active# X) (active# U91(X1, X2) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U91(X1, X2) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U91(X1, X2) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U82 X -> U82# active X) (active# U91(X1, X2) -> active# X1, active# U82 X -> active# X) (active# U91(X1, X2) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U91(X1, X2) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# U91(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U72 X -> U72# active X) (active# U91(X1, X2) -> active# X1, active# U72 X -> active# X) (active# U91(X1, X2) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# U91(X1, X2) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U91(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U91(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U91(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U91(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U91(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U91(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U91(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U91(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U91(X1, X2) -> active# X1, active# U62 X -> U62# active X) (active# U91(X1, X2) -> active# X1, active# U62 X -> active# X) (active# U91(X1, X2) -> active# X1, active# U53 X -> U53# active X) (active# U91(X1, X2) -> active# X1, active# U53 X -> active# X) (active# U91(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U91(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U91(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U91(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U91(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U91(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U43 X -> U43# active X) (active# U91(X1, X2) -> active# X1, active# U43 X -> active# X) (active# U91(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U91(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U91(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U91(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U91(X1, X2) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U91(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U91(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# U91(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U91(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U91(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U91(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U91(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U91(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U91(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U91(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U91(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U91(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U91(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U91(X1, X2) -> active# X1, active# fst X -> active# X) (active# U91(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U91(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U91(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U91(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U91(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U91(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U202(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U91(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U91(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U91(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U91(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# U91(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U91(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U91(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U91(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U91(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNatKind# XS) (active# U91(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U91(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U91(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U91(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U91(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U91(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U91(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U91(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U91(X1, X2) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U91(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U91(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U91(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U91(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U91(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U91(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U91(X1, X2) -> active# X1, active# head X -> head# active X) (active# U91(X1, X2) -> active# X1, active# head X -> active# X) (active# U91(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U91(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U91(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U91(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# s X -> s# active X) (active# U91(X1, X2) -> active# X1, active# s X -> active# X) (active# U91(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U91(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U91(X1, X2) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# U91(X1, X2) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U91(X1, X2) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U91(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U91(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U153 X -> U153# active X) (active# U91(X1, X2) -> active# X1, active# U153 X -> active# X) (active# U91(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# U91(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# U91(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# U91(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# U91(X1, X2) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# U91(X1, X2) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U152(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U143 X -> U143# active X) (active# U91(X1, X2) -> active# X1, active# U143 X -> active# X) (active# U91(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# U91(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# U91(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# U91(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# U91(X1, X2) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# U91(X1, X2) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U133 X -> U133# active X) (active# U91(X1, X2) -> active# X1, active# U133 X -> active# X) (active# U91(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U91(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U91(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U91(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U91(X1, X2) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U91(X1, X2) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U91(X1, X2) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U91(X1, X2) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U121(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U122 X -> U122# active X) (active# U91(X1, X2) -> active# X1, active# U122 X -> active# X) (active# U91(X1, X2) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# U91(X1, X2) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# 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-> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# take(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# take(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# take(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# take(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# take(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# take(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# take(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# take(X1, X2) -> active# X1, active# U62 X -> U62# active X) (active# take(X1, X2) -> active# X1, active# U62 X -> active# X) (active# take(X1, X2) -> active# X1, active# U53 X -> U53# active X) (active# take(X1, X2) -> active# X1, active# U53 X -> active# X) (active# take(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# take(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# take(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# take(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# take(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U43 X -> U43# active X) (active# take(X1, X2) -> active# X1, active# U43 X -> active# X) (active# take(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# take(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# take(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# take(X1, X2) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# take(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# take(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# take(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# take(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# take(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# take(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# take(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# take(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# take(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# take(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# take(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# take(X1, X2) -> active# X1, active# fst X -> active# X) (active# take(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# take(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# take(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# take(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# take(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# take(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# take(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U202(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# take(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# take(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# take(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# take(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# take(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNatKind# XS) (active# take(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# take(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# take(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# take(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# take(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# take(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# take(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# take(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# take(X1, X2) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# take(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# take(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# take(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# take(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# take(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# take(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# take(X1, X2) -> active# X1, active# head X -> head# active X) (active# take(X1, X2) -> active# X1, active# head X -> active# X) (active# take(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# take(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# take(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# take(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# s X -> s# active X) (active# take(X1, X2) -> active# X1, active# s X -> active# X) (active# take(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# take(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# take(X1, X2) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# take(X1, X2) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# take(X1, X2) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# take(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# take(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U153 X -> U153# active X) (active# take(X1, X2) -> active# X1, active# U153 X -> active# X) (active# take(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# take(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# take(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# take(X1, X2) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# take(X1, X2) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U152(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U143 X -> U143# active X) (active# take(X1, X2) -> active# X1, active# U143 X -> active# X) (active# take(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# take(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# take(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# take(X1, X2) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# take(X1, X2) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U142(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U133 X -> U133# active X) (active# take(X1, X2) -> active# X1, active# U133 X -> active# X) (active# take(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# take(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# take(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# take(X1, X2) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# take(X1, X2) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U132(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# take(X1, X2) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# take(X1, X2) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U121(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U122 X -> U122# active X) (active# take(X1, X2) -> active# X1, active# U122 X -> active# X) (active# take(X1, X2) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# take(X1, X2) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# take(X1, X2) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U111(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U112 X -> U112# active X) (active# take(X1, X2) -> active# X1, active# U112 X -> active# X) (active# take(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# take(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# take(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNatKind# XS) (active# take(X1, X2) -> active# X1, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# take(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS)) (active# take(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# take(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNatKind# XS) (active# take(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# take(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# take(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# take(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# take(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# take(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# take(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# take(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# take(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# take(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# take(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# take(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# take(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNatKind# X) (active# take(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNatKind# Y) (active# take(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# take(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# take(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# take(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (active# take(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# take(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# take(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# take(X1, X2) -> active# X1, active# snd X -> active# X) (active# take(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isLNatKind# V2) (active# take(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNaturalKind# V1) (active# take(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# take(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# take(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNatKind# V1) (active# take(X1, X2) -> active# X1, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) (active# take(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNatKind# V1) (active# take(X1, X2) -> active# X1, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (active# take(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (active# take(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (active# take(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# take(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# take(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# take(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# take(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# take(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (active# take(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# take(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# take(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNatKind# V1) (active# take(X1, X2) -> active# X1, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# take(X1, X2) -> active# X1, active# U103 X -> U103# active X) (active# take(X1, X2) -> active# X1, active# U103 X -> active# X) (active# take(X1, X2) -> active# X1, active# U101(tt(), V1, V2) -> isNatural# V1) (active# take(X1, X2) -> active# X1, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (active# take(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# take(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# take(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# take(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# take(X1, X2) -> active# X1, active# isNatural head V1 -> isLNatKind# V1) (active# take(X1, X2) -> active# X1, active# isNatural head V1 -> U111#(isLNatKind V1, V1)) (active# take(X1, X2) -> active# X1, active# isNatural s V1 -> isNaturalKind# V1) (active# take(X1, X2) -> active# X1, active# isNatural s V1 -> U121#(isNaturalKind V1, V1)) (active# take(X1, X2) -> active# X1, active# U102(tt(), V2) -> isLNat# V2) (active# take(X1, X2) -> active# X1, active# U102(tt(), V2) -> U103# isLNat V2) (active# take(X1, X2) -> active# X1, active# U102(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U102(X1, X2) -> U102#(active X1, X2)) (proper# U102(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U102(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U102(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U102(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U102(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U102(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U102(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U102(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U102(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U102(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U102(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U102(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U102(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# isPLNatKind X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (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# U62 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (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# fst X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (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# U21(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (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# U202(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U112 X -> U112# 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# 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# isLNat X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U111(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U111(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U111(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U111(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U111(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U111(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U111(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U111(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U111(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U111(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U111(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U111(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U132(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U132(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U132(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U132(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U132(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U132(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U132(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U132(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U132(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U132(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U132(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U132(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U142(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U142(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U142(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U142(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U142(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U142(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U142(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U142(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U142(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U142(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U142(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U142(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U152(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U152(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U152(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U152(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U152(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U152(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U152(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U152(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U152(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U152(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U152(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U152(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# isPLNatKind X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# cons(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# cons(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# cons(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# 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# fst X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (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# U21(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# 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# U202(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U112 X -> U112# 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# 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# isLNat X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# isPLNatKind X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# 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# fst X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (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# U21(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# 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# U202(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U112 X -> U112# 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# 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# isLNat X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# isPLNatKind X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U181(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U181(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U181(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (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# U62 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (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# fst X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (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# U21(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (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# U202(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U112 X -> U112# 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# 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# isLNat X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U181(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U181(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# U102(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# isPLNatKind X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U191(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U191(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U191(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (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# U62 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (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# fst X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (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# U21(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (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# U202(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U112 X -> U112# 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# 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# isLNat X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U191(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U191(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# U102(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# isPLNatKind X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U92 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U82 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U72 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (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# U62 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U53 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U43 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (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# 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# 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# U21(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (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# U202(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U143 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U133 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U122 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U112 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U112 X -> U112# 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# 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# 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# U103 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# U102(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# isPLNatKind X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U211(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U211(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U211(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (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# U62 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (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# fst X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (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# U21(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (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# U202(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U112 X -> U112# 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# 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# isLNat X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U211(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U211(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# U102(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U31(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U31(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U31(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U31(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U31(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U31(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U31(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U31(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U82 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U72 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U53 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U43 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U153 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U143 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U133 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U122 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U112 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U103 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U82 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U72 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U53 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U43 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U153 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U143 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U133 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U122 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U112 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U103 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U71(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U71(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U71(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U71(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U71(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U71(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U71(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U71(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U71(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U91(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U91(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U91(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U91(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U91(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U91(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U91(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U91(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U91(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U91(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# take(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# take(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# take(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# take(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# take(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# take(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# take(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# take(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# take(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# take(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (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# X1) (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# fst X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# take(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (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# X2) (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) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (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# X1) (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# afterNth(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# take(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# take(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# take(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# take(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# take(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# take(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# take(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# take(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# take(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# take(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# take(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# take(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), pair#(ok X1, ok X2) -> pair#(X1, X2)) (active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), pair#(mark X1, X2) -> pair#(X1, X2)) (active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), pair#(X1, mark X2) -> pair#(X1, X2)) (active# U171(tt(), N, XS) -> head# afterNth(N, XS), head# ok X -> head# X) (active# U171(tt(), N, XS) -> head# afterNth(N, XS), head# mark X -> head# X) (isNatural# ok X -> isNatural# X, isNatural# ok X -> isNatural# X) (active# snd X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (active# snd X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (active# snd X -> active# X, active# sel(X1, X2) -> active# X2) (active# snd X -> active# X, active# sel(X1, X2) -> active# X1) (active# snd X -> active# X, active# sel(N, XS) -> isLNatKind# XS) (active# snd X -> active# X, active# sel(N, XS) -> isNaturalKind# N) (active# snd X -> active# X, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# snd X -> active# X, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# snd X -> active# X, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# snd X -> active# X, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# snd X -> active# X, active# sel(N, XS) -> isLNat# XS) (active# snd X -> active# X, active# sel(N, XS) -> isNatural# N) (active# snd X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (active# snd X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (active# snd X -> active# X, active# take(X1, X2) -> active# X2) (active# snd X -> active# X, active# take(X1, X2) -> active# X1) (active# snd X -> active# X, active# take(N, XS) -> isLNatKind# XS) (active# snd X -> active# X, active# take(N, XS) -> isNaturalKind# N) (active# snd X -> active# X, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# snd X -> active# X, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# snd X -> active# X, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# snd X -> active# X, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# snd X -> active# X, active# take(N, XS) -> isLNat# XS) (active# snd X -> active# X, active# take(N, XS) -> isNatural# N) (active# snd X -> active# X, active# tail cons(N, XS) -> isLNatKind# XS) (active# snd X -> active# X, active# tail cons(N, XS) -> isNaturalKind# N) (active# snd X -> active# X, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# snd X -> active# X, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# snd X -> active# X, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# snd X -> active# X, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# snd X -> active# X, active# tail cons(N, XS) -> isLNat# XS) (active# snd X -> active# X, active# tail cons(N, XS) -> isNatural# N) (active# snd X -> active# X, active# tail X -> tail# active X) (active# snd X -> active# X, active# tail X -> active# X) (active# snd X -> active# X, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# snd X -> active# X, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# snd X -> active# X, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# snd X -> active# X, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# snd X -> active# X, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# snd X -> active# X, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# snd X -> active# X, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# snd X -> active# X, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# snd X -> active# X, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# snd X -> active# X, active# isLNatKind tail V1 -> isLNatKind# V1) (active# snd X -> active# X, active# 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U53 X -> U53# active X) (active# U43 X -> active# X, active# U53 X -> active# X) (active# U43 X -> active# X, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U43 X -> active# X, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U43 X -> active# X, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U43 X -> active# X, active# U51(X1, X2, X3) -> active# X1) (active# U43 X -> active# X, active# U52(tt(), V2) -> U53# isLNat V2) (active# U43 X -> active# X, active# U52(tt(), V2) -> isLNat# V2) (active# U43 X -> active# X, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U43 X -> active# X, active# U52(X1, X2) -> active# X1) (active# U43 X -> active# X, active# U43 X -> U43# active X) (active# U43 X -> active# X, active# U43 X -> active# X) (active# U43 X -> active# X, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U43 X -> active# X, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U43 X -> active# X, active# U41(X1, X2, X3) -> U41#(active 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(active# tail X -> active# X, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# tail X -> active# X, active# isLNatKind tail V1 -> isLNatKind# V1) (active# tail X -> active# X, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# tail X -> active# X, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# tail X -> active# X, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# tail X -> active# X, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# tail X -> active# X, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# tail X -> active# X, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# tail X -> active# X, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# tail X -> active# X, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# tail X -> active# X, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# tail X -> active# X, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# tail X -> active# X, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# tail X -> active# X, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# tail X -> active# X, active# isNaturalKind head V1 -> isLNatKind# V1) (active# tail X -> active# X, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# tail X -> active# X, active# and(X1, X2) -> and#(active X1, X2)) (active# tail X -> active# X, active# and(X1, X2) -> active# X1) (active# tail X -> active# X, active# U91(tt(), V1) -> U92# isLNat V1) (active# tail X -> active# X, active# U91(tt(), V1) -> isLNat# V1) (active# tail X -> active# X, active# U91(X1, X2) -> U91#(active X1, X2)) (active# tail X -> active# X, active# U91(X1, X2) -> active# X1) (active# tail X -> active# X, active# U92 X -> U92# active X) (active# tail X -> active# X, active# U92 X -> active# X) (active# tail X -> active# X, active# U81(tt(), V1) -> U82# isPLNat V1) (active# tail X -> active# X, active# U81(tt(), V1) -> isPLNat# V1) (active# tail X -> active# X, active# U81(X1, X2) -> U81#(active X1, X2)) (active# tail X -> active# X, active# U81(X1, X2) -> active# X1) (active# tail X -> active# X, active# U82 X -> U82# active X) (active# tail X -> active# X, active# U82 X -> active# X) (active# tail X -> active# X, active# U71(tt(), V1) -> U72# isNatural V1) (active# tail X -> active# X, active# U71(tt(), V1) -> isNatural# V1) (active# tail X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2)) (active# tail X -> active# X, active# U71(X1, X2) -> active# X1) (active# tail X -> active# X, active# U72 X -> U72# active X) (active# tail X -> active# X, active# U72 X -> active# X) (active# tail X -> active# X, active# U61(tt(), V1) -> isPLNat# V1) (active# tail X -> active# X, active# U61(tt(), V1) -> U62# isPLNat V1) (active# tail X -> active# X, active# U61(X1, X2) -> U61#(active X1, X2)) (active# tail X -> active# X, active# U61(X1, X2) -> active# X1) (active# tail X -> active# X, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# tail X -> active# X, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# tail X -> active# X, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# tail X -> active# X, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# tail X -> active# X, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# tail X -> active# X, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# tail X -> active# X, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# tail X -> active# X, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# tail X -> active# X, active# U62 X -> U62# active X) (active# tail X -> active# X, active# U62 X -> active# X) (active# tail X -> active# X, active# U53 X -> U53# active X) (active# tail X -> active# X, active# U53 X -> active# X) (active# tail X -> active# X, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# tail X -> active# X, active# U51(tt(), V1, V2) -> isNatural# V1) (active# tail X -> active# X, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# tail X -> active# X, active# U51(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U52(tt(), V2) -> U53# isLNat V2) (active# tail X -> active# X, active# U52(tt(), V2) -> isLNat# V2) (active# tail X -> active# X, active# U52(X1, X2) -> U52#(active X1, X2)) (active# tail X -> active# X, active# U52(X1, X2) -> active# X1) (active# tail X -> active# X, active# U43 X -> U43# active X) (active# tail X -> active# X, active# U43 X -> active# X) (active# tail X -> active# X, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# tail X -> active# X, active# U41(tt(), V1, V2) -> isNatural# V1) (active# tail X -> active# X, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# tail X -> active# X, active# U41(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U42(tt(), V2) -> U43# isLNat V2) (active# tail X -> active# X, active# U42(tt(), V2) -> isLNat# V2) (active# tail X -> active# X, active# U42(X1, X2) -> U42#(active X1, X2)) (active# tail X -> active# X, active# U42(X1, X2) -> active# X1) (active# tail X -> active# X, active# U31(X1, X2) -> U31#(active X1, X2)) (active# tail X -> active# X, active# U31(X1, X2) -> active# X1) (active# tail X -> active# X, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# tail X -> active# X, active# U221(tt(), N, XS) -> splitAt#(N, 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# fst pair(X, Y) -> isLNatKind# X) (active# tail X -> active# X, active# fst pair(X, Y) -> isLNatKind# Y) (active# tail X -> active# X, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# tail X -> active# X, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# tail X -> active# X, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# tail X -> active# X, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# tail X -> active# X, active# fst pair(X, Y) -> isLNat# X) (active# tail X -> active# X, active# fst pair(X, Y) -> isLNat# Y) (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# U211(X1, X2) -> U211#(active X1, X2)) (active# tail X -> active# X, active# U211(X1, X2) -> active# X1) (active# tail X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2)) (active# tail X -> active# X, active# U21(X1, X2) -> active# X1) (active# tail X -> active# X, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# tail X -> active# X, active# U201(tt(), N, X, XS) -> splitAt#(N, 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# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# tail X -> active# X, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# tail X -> active# X, active# U202(X1, X2) -> U202#(active X1, X2)) (active# tail X -> active# X, active# U202(X1, X2) -> 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(X1, X2) -> U181#(active X1, X2)) (active# tail X -> active# X, active# U181(X1, X2) -> active# X1) (active# tail X -> active# X, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# tail X -> active# X, active# U171(tt(), N, XS) -> head# afterNth(N, 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# 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) -> isLNatKind# XS) (active# tail X -> active# X, active# afterNth(N, XS) -> isNaturalKind# N) (active# tail X -> active# X, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# tail X -> active# X, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# tail X -> active# X, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# tail X -> active# X, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# tail X -> active# X, active# afterNth(N, XS) -> isLNat# XS) (active# tail X -> active# X, active# afterNth(N, XS) -> isNatural# N) (active# tail X -> active# X, active# head cons(N, XS) -> isLNatKind# XS) (active# tail X -> active# X, active# head cons(N, XS) -> isNaturalKind# N) (active# tail X -> active# X, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# tail X -> active# X, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# tail X -> active# X, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# tail X -> 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-> active# X, active# natsFrom N -> isNaturalKind# N) (active# tail X -> active# X, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# tail X -> active# X, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# tail X -> active# X, active# natsFrom N -> isNatural# 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# U153 X -> U153# active X) (active# tail X -> active# X, active# U153 X -> active# X) (active# tail X -> active# X, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# tail X -> active# X, active# U151(tt(), V1, V2) -> isNatural# V1) (active# tail X -> active# X, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# tail X -> active# X, active# U151(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U152(tt(), V2) -> U153# isLNat V2) (active# tail X -> active# X, active# U152(tt(), V2) -> isLNat# V2) (active# tail X -> active# X, active# U152(X1, X2) -> U152#(active X1, X2)) (active# tail X -> active# X, active# U152(X1, X2) -> active# X1) (active# tail X -> active# X, active# U143 X -> U143# active X) (active# tail X -> active# X, active# U143 X -> active# X) (active# tail X -> active# X, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# tail X -> active# X, active# U141(tt(), V1, V2) -> isLNat# V1) (active# tail X -> active# X, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# tail X -> active# X, active# U141(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U142(tt(), V2) -> U143# isLNat V2) (active# tail X -> active# X, active# U142(tt(), V2) -> isLNat# V2) (active# tail X -> active# X, active# U142(X1, X2) -> U142#(active X1, X2)) (active# tail X -> active# X, active# U142(X1, X2) -> active# X1) (active# tail X -> active# X, active# U133 X -> U133# active X) (active# tail X -> active# X, active# U133 X -> active# X) (active# tail X -> active# X, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# tail X -> active# X, active# U131(tt(), V1, V2) -> isNatural# V1) (active# tail X -> active# X, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# tail X -> active# X, active# U131(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U132(tt(), V2) -> U133# isLNat V2) (active# tail X -> active# X, active# U132(tt(), V2) -> isLNat# V2) (active# tail X -> active# X, active# U132(X1, X2) -> U132#(active X1, X2)) (active# tail X -> active# X, active# U132(X1, X2) -> active# X1) (active# tail X -> active# X, active# U121(tt(), V1) -> U122# isNatural V1) (active# tail X -> active# X, active# U121(tt(), V1) -> isNatural# V1) (active# tail X -> active# X, active# U121(X1, X2) -> U121#(active X1, X2)) (active# tail X -> active# X, active# U121(X1, X2) -> active# X1) (active# tail X -> active# X, active# U122 X -> U122# active X) (active# tail X -> active# X, active# U122 X -> active# X) (active# tail X -> active# X, active# U111(tt(), V1) -> U112# isLNat V1) (active# tail X -> active# X, active# U111(tt(), V1) -> isLNat# V1) (active# tail X -> active# X, active# U111(X1, X2) -> U111#(active X1, X2)) (active# tail X -> active# X, active# U111(X1, X2) -> active# X1) (active# tail X -> active# X, active# U112 X -> U112# active X) (active# tail X -> active# X, active# U112 X -> active# X) (active# tail X -> active# X, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# tail X -> active# X, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# tail X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# tail X -> active# X, active# U11(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# splitAt(0(), XS) -> isLNatKind# XS) (active# tail X -> active# X, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# tail X -> active# X, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind 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)) -> isLNatKind# XS) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# tail X -> active# X, active# splitAt(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) -> isLNatKind# X) (active# tail X -> active# X, active# snd pair(X, Y) -> isLNatKind# Y) (active# tail X -> active# X, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# tail X -> active# X, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# tail X -> active# X, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# tail X -> active# X, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (active# tail X -> active# X, active# snd pair(X, Y) -> isLNat# X) (active# tail X -> active# X, active# snd pair(X, Y) -> isLNat# Y) (active# tail X -> active# X, active# snd X -> snd# active X) (active# tail X -> active# X, active# snd X -> active# X) (active# tail X -> active# X, active# isLNat take(V1, V2) -> isLNatKind# V2) (active# tail X -> active# X, active# isLNat take(V1, V2) -> isNaturalKind# V1) (active# tail X -> active# X, active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# tail X -> active# X, active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# tail X -> active# X, active# isLNat tail V1 -> isLNatKind# V1) (active# tail X -> active# X, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) (active# tail X -> active# X, active# isLNat fst V1 -> isPLNatKind# V1) (active# tail X -> active# X, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (active# tail X -> active# X, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (active# tail X -> active# X, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (active# tail X -> active# X, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# tail X -> active# X, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# tail X -> active# X, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# tail X -> active# X, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# tail X -> active# X, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# tail X -> active# X, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (active# tail X -> active# X, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# tail X -> active# X, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# tail X -> active# X, active# isLNat snd V1 -> isPLNatKind# V1) (active# tail X -> active# X, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# tail X -> active# X, active# U103 X -> U103# active X) (active# tail X -> active# X, active# U103 X -> active# X) (active# tail X -> active# X, active# U101(tt(), V1, V2) -> isNatural# V1) (active# tail X -> active# X, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (active# tail X -> active# X, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# tail X -> active# X, active# U101(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# tail X -> active# X, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# tail X -> active# X, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# tail X -> active# X, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# tail X -> active# X, active# isNatural head V1 -> isLNatKind# V1) (active# tail X -> active# X, active# isNatural head V1 -> U111#(isLNatKind V1, V1)) (active# tail X -> active# X, active# isNatural s V1 -> isNaturalKind# V1) (active# tail X -> active# X, active# isNatural s V1 -> U121#(isNaturalKind V1, V1)) (active# tail X -> active# X, active# U102(tt(), V2) -> isLNat# V2) (active# tail X -> active# X, active# U102(tt(), V2) -> U103# isLNat V2) (active# tail X -> active# X, active# U102(X1, X2) -> active# X1) (active# tail X -> active# X, active# U102(X1, X2) -> U102#(active X1, X2)) (U103# ok X -> U103# X, U103# ok X -> U103# X) (U103# ok X -> U103# X, U103# mark X -> U103# X) (snd# mark X -> snd# X, snd# ok X -> snd# X) (snd# mark X -> snd# X, snd# mark X -> snd# X) (U112# mark X -> U112# X, U112# ok X -> U112# X) (U112# mark X -> U112# X, U112# mark X -> U112# X) (U122# mark X -> U122# X, U122# ok X -> U122# X) (U122# mark X -> U122# X, U122# mark X -> U122# X) (U133# mark X -> U133# X, U133# ok X -> U133# X) (U133# mark X -> U133# X, U133# mark X -> U133# X) (U143# mark X -> U143# X, U143# ok X -> U143# X) (U143# mark X -> U143# X, U143# mark X -> U143# X) (U153# mark X -> U153# X, U153# ok X -> U153# X) (U153# mark X -> U153# X, U153# mark X -> U153# X) (natsFrom# mark X -> natsFrom# X, natsFrom# ok X -> natsFrom# X) (natsFrom# mark X -> natsFrom# X, natsFrom# mark X -> natsFrom# X) (s# mark X -> s# X, s# ok X -> s# X) (s# mark X -> s# X, s# mark X -> s# X) (head# mark X -> head# X, head# ok X -> head# X) (head# mark 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) (U43# mark X -> U43# X, U43# ok X -> U43# X) (U43# mark X -> U43# X, U43# mark X -> U43# X) (U53# mark X -> U53# X, U53# ok X -> U53# X) (U53# mark X -> U53# X, U53# mark X -> U53# X) (U62# mark X -> U62# X, U62# ok X -> U62# X) (U62# mark X -> U62# X, U62# mark X -> U62# X) (isPLNat# ok X -> isPLNat# X, isPLNat# ok X -> isPLNat# X) (U72# ok X -> U72# X, U72# ok X -> U72# X) (U72# ok X -> U72# X, U72# mark X -> U72# X) (U82# ok X -> U82# X, U82# ok X -> U82# X) (U82# ok X -> U82# X, U82# mark X -> U82# X) (U92# ok X -> U92# X, U92# ok X -> U92# X) (U92# ok X -> U92# X, U92# mark X -> U92# X) (isLNatKind# ok X -> isLNatKind# X, isLNatKind# ok X -> isLNatKind# X) (tail# mark X -> tail# X, tail# ok X -> tail# X) (tail# mark X -> tail# X, tail# mark X -> tail# 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# isPLNatKind X -> proper# X) (proper# isNatural X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# isNatural X -> proper# X, proper# isLNatKind X -> proper# X) (proper# isNatural X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# isNatural X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# isNatural X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# isNatural X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U92 X -> proper# X) (proper# isNatural X -> proper# X, proper# U92 X -> U92# proper X) (proper# isNatural X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U82 X -> proper# X) (proper# isNatural X -> proper# X, proper# U82 X -> U82# proper X) (proper# isNatural X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U72 X -> proper# X) (proper# isNatural X -> proper# X, proper# U72 X -> U72# proper X) (proper# isNatural X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (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# U62 X -> proper# X) (proper# isNatural X -> proper# X, proper# U62 X -> U62# proper X) (proper# isNatural X -> proper# X, proper# U53 X -> proper# X) (proper# isNatural X -> proper# X, proper# U53 X -> U53# proper X) (proper# isNatural X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U43 X -> proper# X) (proper# isNatural X -> proper# X, proper# U43 X -> U43# proper X) (proper# isNatural X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (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# fst X -> proper# X) (proper# isNatural X -> proper# X, proper# fst X -> fst# proper X) (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# U21(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (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# U202(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (proper# isNatural X -> proper# X, proper# U153 X -> U153# proper X) (proper# isNatural X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U143 X -> proper# X) (proper# isNatural X -> proper# X, proper# U143 X -> U143# proper X) (proper# isNatural X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U133 X -> proper# X) (proper# isNatural X -> proper# X, proper# U133 X -> U133# proper X) (proper# isNatural X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U122 X -> proper# X) (proper# isNatural X -> proper# X, proper# U122 X -> U122# proper X) (proper# isNatural X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U112 X -> proper# X) (proper# isNatural X -> proper# X, proper# U112 X -> U112# 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# 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# isLNat X -> proper# X) (proper# isNatural X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# isNatural X -> proper# X, proper# U103 X -> proper# X) (proper# isNatural X -> proper# X, proper# U103 X -> U103# proper X) (proper# isNatural X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# U102(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# isPLNatKind X -> proper# X) (proper# isLNat X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# isLNat X -> proper# X, proper# isLNatKind X -> proper# X) (proper# isLNat X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# isLNat X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# isLNat X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# isLNat X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U92 X -> proper# X) (proper# isLNat X -> proper# X, proper# U92 X -> U92# proper X) (proper# isLNat X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U82 X -> proper# X) (proper# isLNat X -> proper# X, proper# U82 X -> U82# proper X) (proper# isLNat X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U72 X -> proper# X) (proper# isLNat X -> proper# X, proper# U72 X -> U72# proper X) (proper# isLNat X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# isPLNat X -> proper# X) (proper# isLNat X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# isLNat X -> proper# X, proper# U62 X -> proper# X) (proper# isLNat X -> proper# X, proper# U62 X -> U62# proper X) (proper# isLNat X -> proper# X, proper# U53 X -> proper# X) (proper# isLNat X -> proper# X, proper# U53 X -> U53# proper X) (proper# isLNat X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U43 X -> proper# X) (proper# isLNat X -> proper# X, proper# U43 X -> U43# proper X) (proper# isLNat X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# 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# fst X -> proper# X) (proper# isLNat X -> proper# X, proper# fst X -> fst# proper X) (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# U21(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# 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# U202(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (proper# isLNat X -> proper# X, proper# U153 X -> U153# proper X) (proper# isLNat X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U143 X -> proper# X) (proper# isLNat X -> proper# X, proper# U143 X -> U143# proper X) (proper# isLNat X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U133 X -> proper# X) (proper# isLNat X -> proper# X, proper# U133 X -> U133# proper X) (proper# isLNat X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U122 X -> proper# X) (proper# isLNat X -> proper# X, proper# U122 X -> U122# proper X) (proper# isLNat X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U112 X -> proper# X) (proper# isLNat X -> proper# X, proper# U112 X -> U112# 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# 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# isLNat X -> proper# X) (proper# isLNat X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# isLNat X -> proper# X, proper# U103 X -> proper# X) (proper# isLNat X -> proper# X, proper# U103 X -> U103# proper X) (proper# isLNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# isNatural X -> proper# X) (proper# isLNat X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# isLNat X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# tail X -> proper# X) (proper# U112 X -> proper# X, proper# tail X -> tail# proper X) (proper# U112 X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# U112 X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U112 X -> proper# X, proper# isLNatKind X -> proper# X) (proper# U112 X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# U112 X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# U112 X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U112 X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U92 X -> proper# X) (proper# U112 X -> proper# X, proper# U92 X -> U92# proper X) (proper# U112 X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U82 X -> proper# X) (proper# U112 X -> proper# X, proper# U82 X -> U82# proper X) (proper# U112 X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U72 X -> proper# X) (proper# U112 X -> proper# X, proper# U72 X -> U72# proper X) (proper# U112 X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U112 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U112 X -> proper# X, proper# U62 X -> proper# X) (proper# U112 X -> proper# X, proper# U62 X -> U62# proper X) (proper# U112 X -> proper# X, proper# U53 X -> proper# X) (proper# U112 X -> proper# X, proper# U53 X -> U53# proper X) (proper# U112 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# U112 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# U112 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# U112 X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U112 X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U43 X -> proper# X) (proper# U112 X -> proper# X, proper# U43 X -> U43# proper X) (proper# U112 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# U112 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# U112 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# U112 X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U112 X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U112 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U112 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U112 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U112 X -> proper# X, proper# fst X -> proper# X) (proper# U112 X -> proper# X, proper# fst X -> fst# proper X) (proper# U112 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U112 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U112 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U112 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U112 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U112 X -> proper# X, proper# U202(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U112 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U112 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U112 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U112 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# head X -> proper# X) (proper# U112 X -> proper# X, proper# head X -> head# proper X) (proper# U112 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# s X -> proper# X) (proper# U112 X -> proper# X, proper# s X -> s# proper X) (proper# U112 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U112 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U112 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U153 X -> proper# X) (proper# U112 X -> proper# X, proper# U153 X -> U153# proper X) (proper# U112 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# U112 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# U112 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# U112 X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U112 X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U143 X -> proper# X) (proper# U112 X -> proper# X, proper# U143 X -> U143# proper X) (proper# U112 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# U112 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# U112 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# U112 X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U112 X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U133 X -> proper# X) (proper# U112 X -> proper# X, proper# U133 X -> U133# proper X) (proper# U112 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# U112 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# U112 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# U112 X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U112 X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U122 X -> proper# X) (proper# U112 X -> proper# X, proper# U122 X -> U122# proper X) (proper# U112 X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# U112 X -> proper# X) (proper# U112 X -> proper# X, proper# U112 X -> U112# proper X) (proper# U112 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U112 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U112 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U112 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U112 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U112 X -> proper# X, proper# snd X -> proper# X) (proper# U112 X -> proper# X, proper# snd X -> snd# proper X) (proper# U112 X -> proper# X, proper# isLNat X -> proper# X) (proper# U112 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U112 X -> proper# X, proper# U103 X -> proper# X) (proper# U112 X -> proper# X, proper# U103 X -> U103# proper X) (proper# U112 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# U112 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# U112 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# U112 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U112 X -> proper# X, proper# isNatural X -> proper# X) (proper# U112 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U112 X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# U112 X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# U112 X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# tail X -> proper# X) (proper# U133 X -> proper# X, proper# tail X -> tail# proper X) (proper# U133 X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# U133 X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U133 X -> proper# X, proper# isLNatKind X -> proper# X) (proper# U133 X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# U133 X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# U133 X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U133 X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U92 X -> proper# X) (proper# U133 X -> proper# X, proper# U92 X -> U92# proper X) (proper# U133 X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U82 X -> proper# X) (proper# U133 X -> proper# X, proper# U82 X -> U82# proper X) (proper# U133 X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U72 X -> proper# X) (proper# U133 X -> proper# X, proper# U72 X -> U72# proper X) (proper# U133 X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U133 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U133 X -> proper# X, proper# U62 X -> proper# X) (proper# U133 X -> proper# X, proper# U62 X -> U62# proper X) (proper# U133 X -> proper# X, proper# U53 X -> proper# X) (proper# U133 X -> proper# X, proper# U53 X -> U53# proper X) (proper# U133 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# U133 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# U133 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# U133 X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U133 X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U43 X -> proper# X) (proper# U133 X -> proper# X, proper# U43 X -> U43# proper X) (proper# U133 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# U133 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# U133 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# U133 X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U133 X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U133 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U133 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U133 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U133 X -> proper# X, proper# fst X -> proper# X) (proper# U133 X -> proper# X, proper# fst X -> fst# proper X) (proper# U133 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U133 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U133 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U133 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U133 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U133 X -> proper# X, proper# U202(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U133 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U133 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U133 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U133 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# head X -> proper# X) (proper# U133 X -> proper# X, proper# head X -> head# proper X) (proper# U133 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# s X -> proper# X) (proper# U133 X -> proper# X, proper# s X -> s# proper X) (proper# U133 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U133 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U133 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U153 X -> proper# X) (proper# U133 X -> proper# X, proper# U153 X -> U153# proper X) (proper# U133 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# U133 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# U133 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# U133 X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U133 X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U143 X -> proper# X) (proper# U133 X -> proper# X, proper# U143 X -> U143# proper X) (proper# U133 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# U133 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# U133 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# U133 X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U133 X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U133 X -> proper# X) (proper# U133 X -> proper# X, proper# U133 X -> U133# proper X) (proper# U133 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# U133 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# U133 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# U133 X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U133 X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U122 X -> proper# X) (proper# U133 X -> proper# X, proper# U122 X -> U122# proper X) (proper# U133 X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# U112 X -> proper# X) (proper# U133 X -> proper# X, proper# U112 X -> U112# proper X) (proper# U133 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U133 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U133 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U133 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U133 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U133 X -> proper# X, proper# snd X -> proper# X) (proper# U133 X -> proper# X, proper# snd X -> snd# proper X) (proper# U133 X -> proper# X, proper# isLNat X -> proper# X) (proper# U133 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U133 X -> proper# X, proper# U103 X -> proper# X) (proper# U133 X -> proper# X, proper# U103 X -> U103# proper X) (proper# U133 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# U133 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# U133 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# U133 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U133 X -> proper# X, proper# isNatural X -> proper# X) (proper# U133 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U133 X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# U133 X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# U133 X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# tail X -> proper# X) (proper# U153 X -> proper# X, proper# tail X -> tail# proper X) (proper# U153 X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# U153 X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U153 X -> proper# X, proper# isLNatKind X -> proper# X) (proper# U153 X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# U153 X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# U153 X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U153 X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U92 X -> proper# X) (proper# U153 X -> proper# X, proper# U92 X -> U92# proper X) (proper# U153 X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U82 X -> proper# X) (proper# U153 X -> proper# X, proper# U82 X -> U82# proper X) (proper# U153 X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U72 X -> proper# X) (proper# U153 X -> proper# X, proper# U72 X -> U72# proper X) (proper# U153 X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U153 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U153 X -> proper# X, proper# U62 X -> proper# X) (proper# U153 X -> proper# X, proper# U62 X -> U62# proper X) (proper# U153 X -> proper# X, proper# U53 X -> proper# X) (proper# U153 X -> proper# X, proper# U53 X -> U53# proper X) (proper# U153 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# U153 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# U153 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# U153 X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U153 X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U43 X -> proper# X) (proper# U153 X -> proper# X, proper# U43 X -> U43# proper X) (proper# U153 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# U153 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# U153 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# U153 X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U153 X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U153 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U153 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U153 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U153 X -> proper# X, proper# fst X -> proper# X) (proper# U153 X -> proper# X, proper# fst X -> fst# proper X) (proper# U153 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U153 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U153 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U153 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U153 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U153 X -> proper# X, proper# U202(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U153 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U153 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U153 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U153 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# head X -> proper# X) (proper# U153 X -> proper# X, proper# head X -> head# proper X) (proper# U153 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# s X -> proper# X) (proper# U153 X -> proper# X, proper# s X -> s# proper X) (proper# U153 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U153 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U153 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U153 X -> proper# X) (proper# U153 X -> proper# X, proper# U153 X -> U153# proper X) (proper# U153 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# U153 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# U153 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# U153 X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U153 X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U143 X -> proper# X) (proper# U153 X -> proper# X, proper# U143 X -> U143# proper X) (proper# U153 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# U153 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# U153 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# U153 X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U153 X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U133 X -> proper# X) (proper# U153 X -> proper# X, proper# U133 X -> U133# proper X) (proper# U153 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# U153 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# U153 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# U153 X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U153 X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U122 X -> proper# X) (proper# U153 X -> proper# X, proper# U122 X -> U122# proper X) (proper# U153 X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# U112 X -> proper# X) (proper# U153 X -> proper# X, proper# U112 X -> U112# proper X) (proper# U153 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U153 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U153 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U153 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U153 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U153 X -> proper# X, proper# snd X -> proper# X) (proper# U153 X -> proper# X, proper# snd X -> snd# proper X) (proper# U153 X -> proper# X, proper# isLNat X -> proper# X) (proper# U153 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U153 X -> proper# X, proper# U103 X -> proper# X) (proper# U153 X -> proper# X, proper# U103 X -> U103# proper X) (proper# U153 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# U153 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# U153 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# U153 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U153 X -> proper# X, proper# isNatural X -> proper# X) (proper# U153 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U153 X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# U153 X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# U153 X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# isPLNatKind X -> proper# X) (proper# s X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# s X -> proper# X, proper# isLNatKind X -> proper# X) (proper# s X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# s X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# s X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# s X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U92 X -> proper# X) (proper# s X -> proper# X, proper# U92 X -> U92# proper X) (proper# s X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U82 X -> proper# X) (proper# s X -> proper# X, proper# U82 X -> U82# proper X) (proper# s X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U72 X -> proper# X) (proper# s X -> proper# X, proper# U72 X -> U72# proper X) (proper# s X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (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# U62 X -> proper# X) (proper# s X -> proper# X, proper# U62 X -> U62# proper X) (proper# s X -> proper# X, proper# U53 X -> proper# X) (proper# s X -> proper# X, proper# U53 X -> U53# proper X) (proper# s X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U43 X -> proper# X) (proper# s X -> proper# X, proper# U43 X -> U43# proper X) (proper# s X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (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# fst X -> proper# X) (proper# s X -> proper# X, proper# fst X -> fst# proper X) (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# U21(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (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# U202(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (proper# s X -> proper# X, proper# U153 X -> U153# proper X) (proper# s X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U143 X -> proper# X) (proper# s X -> proper# X, proper# U143 X -> U143# proper X) (proper# s X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U133 X -> proper# X) (proper# s X -> proper# X, proper# U133 X -> U133# proper X) (proper# s X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U122 X -> proper# X) (proper# s X -> proper# X, proper# U122 X -> U122# proper X) (proper# s X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U112 X -> proper# X) (proper# s X -> proper# X, proper# U112 X -> U112# 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# 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# isLNat X -> proper# X) (proper# s X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# s X -> proper# X, proper# U103 X -> proper# X) (proper# s X -> proper# X, proper# U103 X -> U103# proper X) (proper# s X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# U102(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# tail X -> proper# X) (proper# fst X -> proper# X, proper# tail X -> tail# proper X) (proper# fst X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# fst X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# fst X -> proper# X, proper# isLNatKind X -> proper# X) (proper# fst X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# fst X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# fst X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# fst X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U92 X -> proper# X) (proper# fst X -> proper# X, proper# U92 X -> U92# proper X) (proper# fst X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U82 X -> proper# X) (proper# fst X -> proper# X, proper# U82 X -> U82# proper X) (proper# fst X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U72 X -> proper# X) (proper# fst X -> proper# X, proper# U72 X -> U72# proper X) (proper# fst X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# isPLNat X -> proper# X) (proper# fst X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# fst X -> proper# X, proper# U62 X -> proper# X) (proper# fst X -> proper# X, proper# U62 X -> U62# proper X) (proper# fst X -> proper# X, proper# U53 X -> proper# X) (proper# fst X -> proper# X, proper# U53 X -> U53# proper X) (proper# fst X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U43 X -> proper# X) (proper# fst X -> proper# X, proper# U43 X -> U43# proper X) (proper# fst X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# fst X -> proper# X) (proper# fst X -> proper# X, proper# fst X -> fst# proper X) (proper# fst X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (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# X2) (proper# fst X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (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# U202(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# head X -> proper# X) (proper# fst X -> proper# X, proper# head X -> head# proper X) (proper# fst X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# s X -> proper# X) (proper# fst X -> proper# X, proper# s X -> s# proper X) (proper# fst X -> proper# X, proper# natsFrom X -> proper# X) (proper# fst X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# fst X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U153 X -> proper# X) (proper# fst X -> proper# X, proper# U153 X -> U153# proper X) (proper# fst X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U143 X -> proper# X) (proper# fst X -> proper# X, proper# U143 X -> U143# proper X) (proper# fst X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U133 X -> proper# X) (proper# fst X -> proper# X, proper# U133 X -> U133# proper X) (proper# fst X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U122 X -> proper# X) (proper# fst X -> proper# X, proper# U122 X -> U122# proper X) (proper# fst X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U112 X -> proper# X) (proper# fst X -> proper# X, proper# U112 X -> U112# proper X) (proper# fst X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# snd X -> proper# X) (proper# fst X -> proper# X, proper# snd X -> snd# proper X) (proper# fst X -> proper# X, proper# isLNat X -> proper# X) (proper# fst X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# fst X -> proper# X, proper# U103 X -> proper# X) (proper# fst X -> proper# X, proper# U103 X -> U103# proper X) (proper# fst X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# isNatural X -> proper# X) (proper# fst X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# fst X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# tail X -> proper# X) (proper# U53 X -> proper# X, proper# tail X -> tail# proper X) (proper# U53 X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# U53 X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U53 X -> proper# X, proper# isLNatKind X -> proper# X) (proper# U53 X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# U53 X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# U53 X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U53 X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U92 X -> proper# X) (proper# U53 X -> proper# X, proper# U92 X -> U92# proper X) (proper# U53 X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U82 X -> proper# X) (proper# U53 X -> proper# X, proper# U82 X -> U82# proper X) (proper# U53 X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U72 X -> proper# X) (proper# U53 X -> proper# X, proper# U72 X -> U72# proper X) (proper# U53 X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U53 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U53 X -> proper# X, proper# U62 X -> proper# X) (proper# U53 X -> proper# X, proper# U62 X -> U62# proper X) (proper# U53 X -> proper# X, proper# U53 X -> proper# X) (proper# U53 X -> proper# X, proper# U53 X -> U53# proper X) (proper# U53 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# U53 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# U53 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# U53 X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U53 X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U43 X -> proper# X) (proper# U53 X -> proper# X, proper# U43 X -> U43# proper X) (proper# U53 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# U53 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# U53 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# U53 X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U53 X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U53 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U53 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U53 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U53 X -> proper# X, proper# fst X -> proper# X) (proper# U53 X -> proper# X, proper# fst X -> fst# proper X) (proper# U53 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U53 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U53 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U53 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U53 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U53 X -> proper# X, proper# U202(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U53 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U53 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U53 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U53 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# head X -> proper# X) (proper# U53 X -> proper# X, proper# head X -> head# proper X) (proper# U53 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# s X -> proper# X) (proper# U53 X -> proper# X, proper# s X -> s# proper X) (proper# U53 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U53 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U53 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U153 X -> proper# X) (proper# U53 X -> proper# X, proper# U153 X -> U153# proper X) (proper# U53 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# U53 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# U53 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# U53 X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U53 X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U143 X -> proper# X) (proper# U53 X -> proper# X, proper# U143 X -> U143# proper X) (proper# U53 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# U53 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# U53 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# U53 X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U53 X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U133 X -> proper# X) (proper# U53 X -> proper# X, proper# U133 X -> U133# proper X) (proper# U53 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# U53 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# U53 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# U53 X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U53 X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U122 X -> proper# X) (proper# U53 X -> proper# X, proper# U122 X -> U122# proper X) (proper# U53 X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# U112 X -> proper# X) (proper# U53 X -> proper# X, proper# U112 X -> U112# proper X) (proper# U53 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U53 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U53 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U53 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U53 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U53 X -> proper# X, proper# snd X -> proper# X) (proper# U53 X -> proper# X, proper# snd X -> snd# proper X) (proper# U53 X -> proper# X, proper# isLNat X -> proper# X) (proper# U53 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U53 X -> proper# X, proper# U103 X -> proper# X) (proper# U53 X -> proper# X, proper# U103 X -> U103# proper X) (proper# U53 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# U53 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# U53 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# U53 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U53 X -> proper# X, proper# isNatural X -> proper# X) (proper# U53 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U53 X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# U53 X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# U53 X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# isPLNatKind X -> proper# X) (proper# isPLNat X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# isPLNat X -> proper# X, proper# isLNatKind X -> proper# X) (proper# isPLNat X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# isPLNat X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# isPLNat X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# isPLNat X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U92 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U92 X -> U92# proper X) (proper# isPLNat X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U82 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U82 X -> U82# proper X) (proper# isPLNat X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U72 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U72 X -> U72# proper X) (proper# isPLNat X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (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# U62 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U62 X -> U62# proper X) (proper# isPLNat X -> proper# X, proper# U53 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U53 X -> U53# proper X) (proper# isPLNat X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U43 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U43 X -> U43# proper X) (proper# isPLNat X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (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# fst X -> proper# X) (proper# isPLNat X -> proper# X, proper# fst X -> fst# proper X) (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# U21(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (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# U202(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U153 X -> U153# proper X) (proper# isPLNat X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U143 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U143 X -> U143# proper X) (proper# isPLNat X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U133 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U133 X -> U133# proper X) (proper# isPLNat X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U122 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U122 X -> U122# proper X) (proper# isPLNat X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U112 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U112 X -> U112# 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# 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# isLNat X -> proper# X) (proper# isPLNat X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# isPLNat X -> proper# X, proper# U103 X -> proper# X) (proper# isPLNat X -> proper# X, proper# U103 X -> U103# proper X) (proper# isPLNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# U102(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# tail X -> proper# X) (proper# U82 X -> proper# X, proper# tail X -> tail# proper X) (proper# U82 X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# U82 X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U82 X -> proper# X, proper# isLNatKind X -> proper# X) (proper# U82 X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# U82 X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# U82 X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U82 X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U92 X -> proper# X) (proper# U82 X -> proper# X, proper# U92 X -> U92# proper X) (proper# U82 X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U82 X -> proper# X) (proper# U82 X -> proper# X, proper# U82 X -> U82# proper X) (proper# U82 X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U72 X -> proper# X) (proper# U82 X -> proper# X, proper# U72 X -> U72# proper X) (proper# U82 X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U82 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U82 X -> proper# X, proper# U62 X -> proper# X) (proper# U82 X -> proper# X, proper# U62 X -> U62# proper X) (proper# U82 X -> proper# X, proper# U53 X -> proper# X) (proper# U82 X -> proper# X, proper# U53 X -> U53# proper X) (proper# U82 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# U82 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# U82 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# U82 X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U82 X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U43 X -> proper# X) (proper# U82 X -> proper# X, proper# U43 X -> U43# proper X) (proper# U82 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# U82 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# U82 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# U82 X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U82 X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U82 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U82 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U82 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U82 X -> proper# X, proper# fst X -> proper# X) (proper# U82 X -> proper# X, proper# fst X -> fst# proper X) (proper# U82 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U82 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U82 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U82 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U82 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U82 X -> proper# X, proper# U202(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U82 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U82 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U82 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U82 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# head X -> proper# X) (proper# U82 X -> proper# X, proper# head X -> head# proper X) (proper# U82 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# s X -> proper# X) (proper# U82 X -> proper# X, proper# s X -> s# proper X) (proper# U82 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U82 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U82 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U153 X -> proper# X) (proper# U82 X -> proper# X, proper# U153 X -> U153# proper X) (proper# U82 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# U82 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# U82 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# U82 X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U82 X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U143 X -> proper# X) (proper# U82 X -> proper# X, proper# U143 X -> U143# proper X) (proper# U82 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# U82 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# U82 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# U82 X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U82 X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U133 X -> proper# X) (proper# U82 X -> proper# X, proper# U133 X -> U133# proper X) (proper# U82 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# U82 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# U82 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# U82 X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U82 X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U122 X -> proper# X) (proper# U82 X -> proper# X, proper# U122 X -> U122# proper X) (proper# U82 X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# U112 X -> proper# X) (proper# U82 X -> proper# X, proper# U112 X -> U112# proper X) (proper# U82 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U82 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U82 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U82 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U82 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U82 X -> proper# X, proper# snd X -> proper# X) (proper# U82 X -> proper# X, proper# snd X -> snd# proper X) (proper# U82 X -> proper# X, proper# isLNat X -> proper# X) (proper# U82 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U82 X -> proper# X, proper# U103 X -> proper# X) (proper# U82 X -> proper# X, proper# U103 X -> U103# proper X) (proper# U82 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# U82 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# U82 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# U82 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U82 X -> proper# X, proper# isNatural X -> proper# X) (proper# U82 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U82 X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# U82 X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# U82 X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# tail X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# tail X -> tail# proper X) (proper# isNaturalKind X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# isNaturalKind X -> proper# X, proper# isLNatKind X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# isNaturalKind X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# isNaturalKind X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U92 X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# U92 X -> U92# proper X) (proper# isNaturalKind X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U82 X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# U82 X -> U82# proper X) (proper# isNaturalKind X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U72 X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# U72 X -> U72# proper X) (proper# isNaturalKind X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# isPLNat X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# isNaturalKind X -> proper# X, proper# U62 X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# U62 X -> U62# proper X) (proper# isNaturalKind X -> proper# X, proper# U53 X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# U53 X -> U53# proper X) (proper# isNaturalKind X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# isNaturalKind X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# isNaturalKind X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U43 X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# U43 X -> U43# proper X) (proper# isNaturalKind X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# isNaturalKind X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# isNaturalKind X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# isNaturalKind X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# isNaturalKind X -> proper# X, proper# fst X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# fst X -> fst# proper X) (proper# isNaturalKind X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# isNaturalKind X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# isNaturalKind X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# isNaturalKind X -> proper# X, proper# U202(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# isNaturalKind X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# isNaturalKind X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# head X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# head X -> head# proper X) (proper# isNaturalKind X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# s X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# s X -> s# proper X) (proper# isNaturalKind X -> proper# X, proper# natsFrom X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# isNaturalKind X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U153 X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# U153 X -> U153# proper X) (proper# isNaturalKind X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# isNaturalKind X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# isNaturalKind X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U143 X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# U143 X -> U143# proper X) (proper# isNaturalKind X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# isNaturalKind X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# isNaturalKind X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U133 X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# U133 X -> U133# proper X) (proper# isNaturalKind X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# isNaturalKind X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# isNaturalKind X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U122 X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# U122 X -> U122# proper X) (proper# isNaturalKind X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# U112 X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# U112 X -> U112# proper X) (proper# isNaturalKind X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# isNaturalKind X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# isNaturalKind X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# isNaturalKind X -> proper# X, proper# snd X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# snd X -> snd# proper X) (proper# isNaturalKind X -> proper# X, proper# isLNat X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# isNaturalKind X -> proper# X, proper# U103 X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# U103 X -> U103# proper X) (proper# isNaturalKind X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# isNaturalKind X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# isNaturalKind X -> proper# X, proper# isNatural X -> proper# X) (proper# isNaturalKind X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# isNaturalKind X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# isNaturalKind X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# isNaturalKind X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# tail X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# tail X -> tail# proper X) (proper# isPLNatKind X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# isPLNatKind X -> proper# X, proper# isLNatKind X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# isPLNatKind X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# isPLNatKind X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U92 X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# U92 X -> U92# proper X) (proper# isPLNatKind X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U82 X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# U82 X -> U82# proper X) (proper# isPLNatKind X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U72 X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# U72 X -> U72# proper X) (proper# isPLNatKind X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# isPLNat X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# isPLNatKind X -> proper# X, proper# U62 X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# U62 X -> U62# proper X) (proper# isPLNatKind X -> proper# X, proper# U53 X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# U53 X -> U53# proper X) (proper# isPLNatKind X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# isPLNatKind X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# isPLNatKind X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U43 X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# U43 X -> U43# proper X) (proper# isPLNatKind X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# isPLNatKind X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# isPLNatKind X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# isPLNatKind X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# isPLNatKind X -> proper# X, proper# fst X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# fst X -> fst# proper X) (proper# isPLNatKind X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# isPLNatKind X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# isPLNatKind X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# isPLNatKind X -> proper# X, proper# U202(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# isPLNatKind X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# isPLNatKind X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# head X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# head X -> head# proper X) (proper# isPLNatKind X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# s X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# s X -> s# proper X) (proper# isPLNatKind X -> proper# X, proper# natsFrom X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# isPLNatKind X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U153 X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# U153 X -> U153# proper X) (proper# isPLNatKind X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# isPLNatKind X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# isPLNatKind X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U143 X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# U143 X -> U143# proper X) (proper# isPLNatKind X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# isPLNatKind X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# isPLNatKind X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U133 X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# U133 X -> U133# proper X) (proper# isPLNatKind X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# isPLNatKind X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# isPLNatKind X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U122 X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# U122 X -> U122# proper X) (proper# isPLNatKind X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# U112 X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# U112 X -> U112# proper X) (proper# isPLNatKind X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# isPLNatKind X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# isPLNatKind X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# isPLNatKind X -> proper# X, proper# snd X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# snd X -> snd# proper X) (proper# isPLNatKind X -> proper# X, proper# isLNat X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# isPLNatKind X -> proper# X, proper# U103 X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# U103 X -> U103# proper X) (proper# isPLNatKind X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# isPLNatKind X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# isPLNatKind X -> proper# X, proper# isNatural X -> proper# X) (proper# isPLNatKind X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# isPLNatKind X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# isPLNatKind X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# isPLNatKind X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# isPLNatKind X -> proper# X) (top# mark X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (top# mark X -> proper# X, proper# isLNatKind X -> proper# X) (top# mark X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (top# mark X -> proper# X, proper# isNaturalKind X -> proper# X) (top# mark X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (top# mark X -> proper# X, proper# and(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# and(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U91(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U91(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U92 X -> proper# X) (top# mark X -> proper# X, proper# U92 X -> U92# proper X) (top# mark X -> proper# X, proper# U81(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U81(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U82 X -> proper# X) (top# mark X -> proper# X, proper# U82 X -> U82# proper X) (top# mark X -> proper# X, proper# U71(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U71(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U72 X -> proper# X) (top# mark X -> proper# X, proper# U72 X -> U72# proper X) (top# mark X -> proper# X, proper# U61(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U61(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (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# U62 X -> proper# X) (top# mark X -> proper# X, proper# U62 X -> U62# proper X) (top# mark X -> proper# X, proper# U53 X -> proper# X) (top# mark X -> proper# X, proper# U53 X -> U53# proper X) (top# mark X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U52(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U52(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U43 X -> proper# X) (top# mark X -> proper# X, proper# U43 X -> U43# proper X) (top# mark X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U42(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U42(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U31(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U31(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (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# fst X -> proper# X) (top# mark X -> proper# X, proper# fst X -> fst# proper X) (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# U21(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U21(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (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# U202(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U202(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (top# mark X -> proper# X, proper# U153 X -> U153# proper X) (top# mark X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U152(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U152(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U143 X -> proper# X) (top# mark X -> proper# X, proper# U143 X -> U143# proper X) (top# mark X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U142(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U142(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U133 X -> proper# X) (top# mark X -> proper# X, proper# U133 X -> U133# proper X) (top# mark X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U132(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U132(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U121(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U121(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U122 X -> proper# X) (top# mark X -> proper# X, proper# U122 X -> U122# proper X) (top# mark X -> proper# X, proper# U111(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U111(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U112 X -> proper# X) (top# mark X -> proper# X, proper# U112 X -> U112# 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# 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# isLNat X -> proper# X) (top# mark X -> proper# X, proper# isLNat X -> isLNat# proper X) (top# mark X -> proper# X, proper# U103 X -> proper# X) (top# mark X -> proper# X, proper# U103 X -> U103# proper X) (top# mark X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# U102(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U102(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (active# isNatural s V1 -> U121#(isNaturalKind V1, V1), U121#(ok X1, ok X2) -> U121#(X1, X2)) (active# isNatural s V1 -> U121#(isNaturalKind V1, V1), U121#(mark X1, X2) -> U121#(X1, X2)) (active# isLNat snd V1 -> U81#(isPLNatKind V1, V1), U81#(ok X1, ok X2) -> U81#(X1, X2)) (active# isLNat snd V1 -> U81#(isPLNatKind V1, V1), U81#(mark X1, X2) -> U81#(X1, X2)) (active# isLNat fst V1 -> U61#(isPLNatKind V1, V1), U61#(ok X1, ok X2) -> U61#(X1, X2)) (active# isLNat fst V1 -> U61#(isPLNatKind V1, V1), U61#(mark X1, X2) -> U61#(X1, X2)) (active# splitAt(s N, cons(X, XS)) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# natsFrom N -> 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# head cons(N, XS) -> isNaturalKind# N, isNaturalKind# ok X -> isNaturalKind# X) (active# afterNth(N, XS) -> isNaturalKind# N, isNaturalKind# ok X -> isNaturalKind# X) (active# tail cons(N, XS) -> isNaturalKind# N, isNaturalKind# ok X -> isNaturalKind# X) (active# take(N, XS) -> isNaturalKind# N, isNaturalKind# ok X -> isNaturalKind# X) (active# sel(N, XS) -> isNaturalKind# N, isNaturalKind# ok X -> isNaturalKind# X) (active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), U211#(ok X1, ok X2) -> U211#(X1, X2)) (active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), U211#(mark X1, X2) -> U211#(X1, X2)) (active# U11(tt(), N, XS) -> splitAt#(N, XS), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# U11(tt(), N, XS) -> splitAt#(N, XS), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# U11(tt(), N, XS) -> splitAt#(N, XS), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (active# U201(tt(), N, X, XS) -> splitAt#(N, XS), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# U201(tt(), N, X, XS) -> splitAt#(N, XS), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# U201(tt(), N, X, XS) -> splitAt#(N, XS), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (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) -> isLNatKind# XS) (active# splitAt(X1, X2) -> active# X2, active# sel(N, XS) -> isNaturalKind# N) (active# splitAt(X1, X2) -> active# X2, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# splitAt(X1, X2) -> active# X2, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# splitAt(X1, X2) -> active# X2, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# splitAt(X1, X2) -> active# X2, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# splitAt(X1, X2) -> active# X2, active# sel(N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# sel(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X2, active# 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) -> isLNatKind# XS) (active# splitAt(X1, X2) -> active# X2, active# take(N, XS) -> isNaturalKind# N) (active# splitAt(X1, X2) -> active# X2, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# splitAt(X1, X2) -> active# X2, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# splitAt(X1, X2) -> active# X2, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# splitAt(X1, X2) -> active# X2, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# splitAt(X1, X2) -> active# X2, active# take(N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# take(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> isLNatKind# XS) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> isNaturalKind# N) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X2, active# tail X -> tail# active X) (active# splitAt(X1, X2) -> active# X2, active# tail X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# splitAt(X1, X2) -> active# X2, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# splitAt(X1, X2) -> active# X2, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# splitAt(X1, X2) -> active# X2, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# splitAt(X1, X2) -> active# X2, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# splitAt(X1, X2) -> active# X2, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# splitAt(X1, X2) -> active# X2, active# isLNatKind tail V1 -> isLNatKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# splitAt(X1, X2) -> active# X2, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# splitAt(X1, X2) -> active# X2, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# splitAt(X1, X2) -> active# X2, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# splitAt(X1, X2) -> active# X2, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# splitAt(X1, X2) -> active# X2, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# splitAt(X1, X2) -> active# X2, active# isNaturalKind head V1 -> isLNatKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X2, active# and(X1, X2) -> and#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# and(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U91(tt(), V1) -> U92# isLNat V1) (active# splitAt(X1, X2) -> active# X2, active# U91(tt(), V1) -> isLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# U91(X1, X2) -> U91#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U91(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U92 X -> U92# active X) (active# splitAt(X1, X2) -> active# X2, active# U92 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U81(tt(), V1) -> U82# isPLNat V1) (active# splitAt(X1, X2) -> active# X2, active# U81(tt(), V1) -> isPLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# U81(X1, X2) -> U81#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U81(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U82 X -> U82# active X) (active# splitAt(X1, X2) -> active# X2, active# U82 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U71(tt(), V1) -> U72# isNatural V1) (active# splitAt(X1, X2) -> active# X2, active# U71(tt(), V1) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# U71(X1, X2) -> U71#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U71(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U72 X -> U72# active X) (active# splitAt(X1, X2) -> active# X2, active# U72 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U61(tt(), V1) -> isPLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# U61(tt(), V1) -> U62# isPLNat V1) (active# splitAt(X1, X2) -> active# X2, active# U61(X1, X2) -> U61#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U61(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# splitAt(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# splitAt(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# splitAt(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# splitAt(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# U62 X -> U62# active X) (active# splitAt(X1, X2) -> active# X2, active# U62 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U53 X -> U53# active X) (active# splitAt(X1, X2) -> active# X2, active# U53 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# U51(tt(), V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U51(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U52(tt(), V2) -> U53# isLNat V2) (active# splitAt(X1, X2) -> active# X2, active# U52(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# U52(X1, X2) -> U52#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U43 X -> U43# active X) (active# splitAt(X1, X2) -> active# X2, active# U43 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# U41(tt(), V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U42(tt(), V2) -> U43# isLNat V2) (active# splitAt(X1, X2) -> active# X2, active# U42(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# U42(X1, X2) -> U42#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U42(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U31(X1, X2) -> U31#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U31(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U221(tt(), N, XS) -> splitAt#(N, 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# fst pair(X, Y) -> isLNatKind# X) (active# splitAt(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNatKind# Y) (active# splitAt(X1, X2) -> active# X2, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# splitAt(X1, X2) -> active# X2, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# splitAt(X1, X2) -> active# X2, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# splitAt(X1, X2) -> active# X2, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# splitAt(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNat# X) (active# splitAt(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNat# Y) (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# 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# U21(X1, X2) -> U21#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U21(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# splitAt(X1, X2) -> active# X2, active# U201(tt(), N, X, XS) -> splitAt#(N, 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# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# splitAt(X1, X2) -> active# X2, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# splitAt(X1, X2) -> active# X2, active# U202(X1, X2) -> U202#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U202(X1, X2) -> 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(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# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U171(tt(), N, XS) -> head# afterNth(N, 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# 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) -> isLNatKind# XS) (active# splitAt(X1, X2) -> active# X2, active# afterNth(N, XS) -> isNaturalKind# N) (active# splitAt(X1, X2) -> active# X2, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# splitAt(X1, X2) -> active# X2, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# splitAt(X1, X2) -> active# X2, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# splitAt(X1, X2) -> active# X2, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# splitAt(X1, X2) -> active# X2, active# afterNth(N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# afterNth(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X2, active# head cons(N, XS) -> isLNatKind# XS) (active# splitAt(X1, X2) -> active# X2, active# head cons(N, XS) -> isNaturalKind# N) (active# splitAt(X1, X2) -> active# X2, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# splitAt(X1, X2) -> active# X2, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# splitAt(X1, X2) -> active# X2, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# splitAt(X1, X2) -> active# X2, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# splitAt(X1, X2) -> active# X2, active# head cons(N, XS) -> isLNat# 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# 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 -> isNaturalKind# N) (active# splitAt(X1, X2) -> active# X2, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# splitAt(X1, X2) -> active# X2, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# splitAt(X1, X2) -> active# X2, active# natsFrom N -> isNatural# 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# U153 X -> U153# active X) (active# splitAt(X1, X2) -> active# X2, active# U153 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# U151(tt(), V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U151(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U152(tt(), V2) -> U153# isLNat V2) (active# splitAt(X1, X2) -> active# X2, active# U152(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# U152(X1, X2) -> U152#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U152(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U143 X -> U143# active X) (active# splitAt(X1, X2) -> active# X2, active# U143 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# U141(tt(), V1, V2) -> isLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U141(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U142(tt(), V2) -> U143# isLNat V2) (active# splitAt(X1, X2) -> active# X2, active# U142(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# U142(X1, X2) -> U142#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U142(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U133 X -> U133# active X) (active# splitAt(X1, X2) -> active# X2, active# U133 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# U131(tt(), V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U131(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U132(tt(), V2) -> U133# isLNat V2) (active# splitAt(X1, X2) -> active# X2, active# U132(tt(), V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# U132(X1, X2) -> U132#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U132(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U121(tt(), V1) -> U122# isNatural V1) (active# splitAt(X1, X2) -> active# X2, active# U121(tt(), V1) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# U121(X1, X2) -> U121#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U121(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U122 X -> U122# active X) (active# splitAt(X1, X2) -> active# X2, active# U122 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U111(tt(), V1) -> U112# isLNat V1) (active# splitAt(X1, X2) -> active# X2, active# U111(tt(), V1) -> isLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# U111(X1, X2) -> U111#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U111(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U112 X -> U112# active X) (active# splitAt(X1, X2) -> active# X2, active# U112 X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> snd# splitAt(N, 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# splitAt(0(), XS) -> isLNatKind# XS) (active# splitAt(X1, X2) -> active# X2, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# splitAt(X1, X2) -> active# X2, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind 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)) -> isLNatKind# XS) (active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (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) -> isLNatKind# X) (active# splitAt(X1, X2) -> active# X2, active# snd pair(X, Y) -> isLNatKind# Y) (active# splitAt(X1, X2) -> active# X2, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# splitAt(X1, X2) -> active# X2, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) 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V1 -> isLNatKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) (active# splitAt(X1, X2) -> active# X2, active# isLNat fst V1 -> isPLNatKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (active# splitAt(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (active# splitAt(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# splitAt(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# splitAt(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# splitAt(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# 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X2) -> active# X2, active# U43 X -> U43# active X) (active# pair(X1, X2) -> active# X2, active# U43 X -> active# X) (active# pair(X1, X2) -> active# X2, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# pair(X1, X2) -> active# X2, active# U41(tt(), V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U42(tt(), V2) -> U43# isLNat V2) (active# pair(X1, X2) -> active# X2, active# U42(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X2, active# U42(X1, X2) -> U42#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U42(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U31(X1, X2) -> U31#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U31(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) 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Y) (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# 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# U21(X1, X2) -> U21#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U21(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# pair(X1, X2) -> active# X2, active# U201(tt(), N, X, XS) -> splitAt#(N, 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# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# pair(X1, X2) -> active# X2, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# 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X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U133 X -> U133# active X) (active# pair(X1, X2) -> active# X2, active# U133 X -> active# X) (active# pair(X1, X2) -> active# X2, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# pair(X1, X2) -> active# X2, active# U131(tt(), V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X2, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U131(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U132(tt(), V2) -> U133# isLNat V2) (active# pair(X1, X2) -> active# X2, active# U132(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X2, active# U132(X1, X2) -> U132#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U132(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U121(tt(), V1) -> U122# isNatural V1) (active# pair(X1, X2) -> active# X2, active# U121(tt(), V1) -> isNatural# V1) (active# pair(X1, X2) -> 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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) -> isLNatKind# X) (active# pair(X1, X2) -> active# X2, active# snd pair(X, Y) -> isLNatKind# Y) (active# pair(X1, X2) -> active# X2, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# pair(X1, X2) -> active# X2, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# pair(X1, X2) -> active# X2, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# pair(X1, X2) -> active# X2, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (active# pair(X1, X2) -> active# X2, active# snd pair(X, Y) -> isLNat# X) (active# pair(X1, X2) -> active# X2, active# snd pair(X, Y) -> isLNat# Y) (active# pair(X1, X2) -> active# X2, active# snd X -> snd# active X) (active# pair(X1, X2) -> active# 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afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# pair(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# pair(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# pair(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# pair(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# pair(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (active# pair(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# pair(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# pair(X1, X2) -> active# X2, active# isLNat snd V1 -> isPLNatKind# V1) (active# pair(X1, X2) -> active# X2, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# pair(X1, X2) -> active# X2, active# U103 X -> U103# active X) 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U42(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U31(X1, X2) -> U31#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U31(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# sel(X1, X2) -> active# X2, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X2, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X2, active# U221(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNatKind# X) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNatKind# Y) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNat# X) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNat# Y) (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# U211(X1, X2) -> U211#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U211(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U21(X1, X2) -> U21#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U21(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# sel(X1, X2) -> active# X2, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X2, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# sel(X1, X2) -> active# X2, active# U201(X1, X2, X3, X4) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# sel(X1, X2) -> active# X2, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# sel(X1, X2) -> active# X2, active# U202(X1, X2) -> U202#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U202(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# sel(X1, X2) -> active# X2, active# U191(X1, X2) -> U191#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U191(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U181(X1, X2) -> U181#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U181(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# sel(X1, X2) -> active# X2, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# sel(X1, X2) -> active# X2, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X2, active# U171(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# afterNth(N, XS) -> isLNatKind# XS) (active# sel(X1, X2) -> active# X2, active# afterNth(N, XS) -> isNaturalKind# N) (active# sel(X1, X2) -> active# X2, active# afterNth(N, XS) -> and#(and(isNatural N, 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and#(isNatural N, isNaturalKind N)) (active# sel(X1, X2) -> active# X2, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# sel(X1, X2) -> active# X2, active# head cons(N, XS) -> isLNat# XS) (active# sel(X1, X2) -> active# X2, active# head cons(N, XS) -> isNatural# N) (active# sel(X1, X2) -> active# X2, active# head X -> head# active X) (active# sel(X1, X2) -> active# X2, active# head X -> active# X) (active# sel(X1, X2) -> active# X2, active# U161(tt(), N) -> s# N) (active# sel(X1, X2) -> active# X2, active# U161(tt(), N) -> natsFrom# s N) (active# sel(X1, X2) -> active# X2, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# sel(X1, X2) -> active# X2, active# U161(X1, X2) -> U161#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U161(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# s X -> s# active X) (active# sel(X1, X2) -> active# X2, active# s X -> active# X) (active# sel(X1, X2) -> active# X2, active# natsFrom X -> natsFrom# active X) (active# sel(X1, X2) -> active# X2, active# natsFrom X -> active# X) (active# sel(X1, X2) -> active# X2, active# natsFrom N -> isNaturalKind# N) (active# sel(X1, X2) -> active# X2, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# sel(X1, X2) -> active# X2, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# sel(X1, X2) -> active# X2, active# natsFrom N -> isNatural# N) (active# sel(X1, X2) -> active# X2, active# cons(X1, X2) -> cons#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U153 X -> U153# active X) (active# sel(X1, X2) -> active# X2, active# U153 X -> active# X) (active# sel(X1, X2) -> active# X2, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# sel(X1, X2) -> active# X2, active# U151(tt(), V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X2, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X2, active# U151(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U152(tt(), V2) -> U153# isLNat V2) (active# sel(X1, X2) -> active# X2, active# U152(tt(), V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X2, active# U152(X1, X2) -> U152#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U152(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U143 X -> U143# active X) (active# sel(X1, X2) -> active# X2, active# U143 X -> active# X) (active# sel(X1, X2) -> active# X2, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# sel(X1, X2) -> active# X2, active# U141(tt(), V1, V2) -> isLNat# V1) (active# sel(X1, X2) -> active# X2, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X2, active# U141(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U142(tt(), V2) -> U143# isLNat V2) (active# sel(X1, X2) -> active# X2, active# U142(tt(), V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X2, active# U142(X1, X2) -> U142#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U142(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U133 X -> U133# active X) (active# sel(X1, X2) -> active# X2, active# U133 X -> active# X) (active# sel(X1, X2) -> active# X2, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# sel(X1, X2) -> active# X2, active# U131(tt(), V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X2, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X2, active# U131(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U132(tt(), V2) -> U133# isLNat V2) (active# sel(X1, X2) -> active# X2, active# U132(tt(), V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X2, active# U132(X1, X2) -> U132#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U132(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U121(tt(), V1) -> U122# isNatural V1) (active# sel(X1, X2) -> active# X2, active# U121(tt(), V1) -> isNatural# V1) (active# sel(X1, X2) -> active# X2, active# U121(X1, X2) -> U121#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U121(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U122 X -> U122# active X) (active# sel(X1, X2) -> active# X2, active# U122 X -> active# X) (active# sel(X1, X2) -> active# X2, active# U111(tt(), V1) -> U112# isLNat V1) (active# sel(X1, X2) -> active# X2, active# U111(tt(), V1) -> isLNat# V1) (active# sel(X1, X2) -> active# X2, active# U111(X1, X2) -> U111#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U111(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U112 X -> U112# active X) (active# sel(X1, X2) -> active# X2, active# U112 X -> active# X) (active# sel(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> 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active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# sel(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# sel(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# sel(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# sel(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# sel(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# sel(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# sel(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# sel(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# snd pair(X, Y) -> isLNatKind# X) (active# sel(X1, X2) -> active# X2, active# snd pair(X, Y) -> isLNatKind# Y) (active# sel(X1, X2) -> active# X2, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# sel(X1, X2) -> active# X2, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# sel(X1, X2) -> active# X2, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# sel(X1, X2) -> active# X2, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (active# sel(X1, X2) -> active# X2, active# snd pair(X, Y) -> isLNat# X) (active# sel(X1, X2) -> active# X2, active# snd pair(X, Y) -> isLNat# Y) (active# sel(X1, X2) -> active# X2, active# snd X -> snd# active X) (active# sel(X1, X2) -> active# X2, active# snd X -> active# X) (active# sel(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> isLNatKind# V2) (active# sel(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> isNaturalKind# V1) (active# sel(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# sel(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# sel(X1, X2) -> active# X2, active# isLNat tail V1 -> isLNatKind# V1) (active# sel(X1, X2) -> active# X2, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) (active# sel(X1, X2) -> active# X2, active# isLNat fst V1 -> isPLNatKind# V1) (active# sel(X1, X2) -> active# X2, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (active# sel(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (active# sel(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (active# sel(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# sel(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# sel(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# sel(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# sel(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# sel(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (active# sel(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# sel(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# sel(X1, X2) -> active# X2, active# isLNat snd V1 -> isPLNatKind# V1) (active# sel(X1, X2) -> active# X2, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# sel(X1, X2) -> active# X2, active# U103 X -> U103# active X) (active# sel(X1, X2) -> active# X2, active# U103 X -> active# X) (active# sel(X1, X2) -> active# X2, active# U101(tt(), V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X2, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (active# sel(X1, X2) -> active# X2, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X2, active# U101(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# sel(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# sel(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# sel(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# sel(X1, X2) -> active# X2, active# isNatural head V1 -> isLNatKind# V1) (active# sel(X1, X2) -> active# X2, active# isNatural head V1 -> U111#(isLNatKind V1, V1)) (active# sel(X1, X2) -> active# X2, active# isNatural s V1 -> isNaturalKind# V1) (active# sel(X1, X2) -> active# X2, active# isNatural s V1 -> U121#(isNaturalKind V1, V1)) (active# sel(X1, X2) -> active# X2, active# U102(tt(), V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X2, active# U102(tt(), V2) -> U103# isLNat V2) (active# sel(X1, X2) -> active# X2, active# U102(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U102(X1, X2) -> U102#(active X1, X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> 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U72 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U53 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U43 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U101(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U153 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U143 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U133 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U122 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U112 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U103 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> 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) -> sel#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> 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) -> take#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U82 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U72 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U53 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U43 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (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# X1) (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# fst X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> 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) -> U211#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (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# X2) (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) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> 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) -> U191#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> 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) -> pair#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> 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) -> U181#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (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# X1) (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# afterNth(X1, X2) -> 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) -> afterNth#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> 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) -> U161#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> 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) -> cons#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U153 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U143 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U133 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U122 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U112 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (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# X1) (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# splitAt(X1, X2) -> 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) -> splitAt#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U103 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U121(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U121(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U121(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U121(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U121(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U121(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U121(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U121(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U121(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U121(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U121(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U121(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U82 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U72 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U53 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U43 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U131(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U153 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U143 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U133 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U122 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# U112 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U103 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U131(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U82 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U72 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U53 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U43 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U141(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U153 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U143 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U133 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U122 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# U112 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U103 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U141(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U82 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U72 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U53 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U43 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U151(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U153 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U143 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U133 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U122 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# U112 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U103 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U151(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U161(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U161(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U161(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U161(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (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# X1) (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# fst X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (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# X2) (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) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U161(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (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# X1) (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# afterNth(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U161(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U161(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (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# X1) (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# splitAt(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U161(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U161(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U161(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> 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) -> sel#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> 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) -> take#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U82 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U72 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U53 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U43 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (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# X1) (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# fst X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> 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) -> U211#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (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# X2) (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) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> 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) -> U191#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> 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) -> pair#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> 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) -> U181#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (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# X1) (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# afterNth(X1, X2) -> 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) -> afterNth#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> 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) -> U161#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> 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) -> cons#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U153 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U143 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U133 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U122 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# U112 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (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# X1) (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# splitAt(X1, X2) -> 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) -> splitAt#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U103 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U171(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# pair(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# pair(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# pair(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# pair(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (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# X1) (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# fst X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (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# X2) (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) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (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# X1) (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# afterNth(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# pair(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# pair(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U202(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U202(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U202(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U202(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U202(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U202(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U202(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U202(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U202(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U21(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U21(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U21(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U21(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U21(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U21(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U21(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# isPLNatKind X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U82 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U72 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (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# U62 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U53 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U43 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (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# 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# 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# U21(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (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# U202(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U143 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U133 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U122 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X2, proper# U112 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U112 X -> U112# 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# 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# 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# U103 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U221(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# U102(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U42(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U42(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U42(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U42(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U42(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U42(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U42(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U42(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U42(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U42(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U42(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U42(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U52(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U52(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U52(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U52(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U52(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U52(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U52(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U52(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U52(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U61(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U61(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U61(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U61(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U61(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U61(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U61(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U81(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U81(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U81(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U81(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U81(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U81(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U81(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U81(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U81(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# and(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# and(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# and(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# and(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# and(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# and(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# and(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# and(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# and(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# and(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# and(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# and(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# and(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# and(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# and(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# and(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# and(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# and(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# and(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# and(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# and(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# and(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# and(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# and(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# and(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# and(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# isPLNatKind X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# sel(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# sel(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# sel(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# 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# fst X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (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# U21(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# 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# U202(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (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# 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# 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# 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# U153 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U112 X -> U112# 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# 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# isLNat X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (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# U141(X1, X2, X3) -> U141#(active X1, X2, X3), U141#(ok X1, ok X2, ok X3) -> U141#(X1, X2, X3)) (active# U141(X1, X2, X3) -> U141#(active X1, X2, X3), U141#(mark X1, X2, X3) -> U141#(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# U41(X1, X2, X3) -> U41#(active X1, X2, X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)) (active# U41(X1, X2, X3) -> U41#(active X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)) (U101#(mark X1, X2, X3) -> U101#(X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)) (U101#(mark X1, X2, X3) -> U101#(X1, X2, X3), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3)) (U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (U131#(mark X1, X2, X3) -> U131#(X1, X2, X3), U131#(ok X1, ok X2, ok X3) -> U131#(X1, X2, X3)) (U131#(mark X1, X2, X3) -> U131#(X1, X2, X3), U131#(mark X1, X2, X3) -> U131#(X1, X2, X3)) (U141#(mark X1, X2, X3) -> U141#(X1, X2, X3), U141#(ok X1, ok X2, ok X3) -> U141#(X1, X2, X3)) (U141#(mark X1, X2, X3) -> U141#(X1, X2, X3), U141#(mark X1, X2, X3) -> U141#(X1, X2, X3)) (U151#(mark X1, X2, X3) -> U151#(X1, X2, X3), U151#(ok X1, ok X2, ok X3) -> U151#(X1, X2, X3)) (U151#(mark X1, X2, X3) -> U151#(X1, X2, X3), U151#(mark X1, X2, X3) -> U151#(X1, X2, X3)) (U171#(mark X1, X2, 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), U171#(mark X1, X2, X3) -> U171#(X1, X2, X3)) (U221#(mark X1, X2, 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), U221#(mark X1, X2, X3) -> U221#(X1, X2, X3)) (U41#(mark X1, X2, X3) -> U41#(X1, X2, X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)) (U41#(mark X1, X2, X3) -> U41#(X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)) (U51#(mark X1, X2, X3) -> U51#(X1, X2, X3), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3)) (U51#(mark X1, X2, X3) -> U51#(X1, X2, X3), U51#(mark X1, X2, X3) -> U51#(X1, X2, X3)) (active# U202(pair(YS, ZS), X) -> cons#(X, YS), cons#(ok X1, ok X2) -> cons#(X1, X2)) (active# U202(pair(YS, ZS), X) -> cons#(X, YS), cons#(mark X1, X2) -> cons#(X1, X2)) (active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), U171#(ok X1, ok X2, ok X3) -> U171#(X1, X2, X3)) (active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), U171#(mark X1, X2, X3) -> U171#(X1, X2, X3)) (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# U121(X1, X2) -> U121#(active X1, X2), U121#(ok X1, ok X2) -> U121#(X1, X2)) (active# U121(X1, X2) -> U121#(active X1, X2), U121#(mark X1, X2) -> U121#(X1, X2)) (active# U142(X1, X2) -> U142#(active X1, X2), U142#(ok X1, ok X2) -> U142#(X1, X2)) (active# U142(X1, X2) -> U142#(active X1, X2), U142#(mark X1, X2) -> U142#(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# pair(X1, X2) -> pair#(active X1, X2), pair#(ok X1, ok X2) -> pair#(X1, X2)) (active# pair(X1, X2) -> pair#(active X1, X2), pair#(mark X1, X2) -> pair#(X1, X2)) (active# pair(X1, X2) -> pair#(active X1, X2), pair#(X1, mark X2) -> pair#(X1, X2)) (active# U202(X1, X2) -> U202#(active X1, X2), U202#(ok X1, ok X2) -> U202#(X1, X2)) (active# U202(X1, X2) -> U202#(active X1, X2), U202#(mark X1, X2) -> U202#(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# U42(X1, X2) -> U42#(active X1, X2), U42#(ok X1, ok X2) -> U42#(X1, X2)) (active# U42(X1, X2) -> U42#(active X1, X2), U42#(mark X1, X2) -> U42#(X1, X2)) (active# U61(X1, X2) -> U61#(active X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2)) (active# U61(X1, X2) -> U61#(active X1, X2), U61#(mark X1, X2) -> U61#(X1, X2)) (active# U81(X1, X2) -> U81#(active X1, X2), U81#(ok X1, ok X2) -> U81#(X1, X2)) (active# U81(X1, X2) -> U81#(active X1, X2), U81#(mark X1, X2) -> U81#(X1, X2)) (active# and(X1, X2) -> and#(active X1, X2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# and(X1, X2) -> and#(active X1, X2), and#(mark X1, X2) -> and#(X1, X2)) (active# sel(X1, X2) -> sel#(active X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2)) (active# sel(X1, X2) -> sel#(active X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)) (active# sel(X1, X2) -> sel#(active X1, X2), sel#(X1, mark X2) -> sel#(X1, X2)) (U102#(ok X1, ok X2) -> U102#(X1, X2), U102#(ok X1, ok X2) -> U102#(X1, X2)) (U102#(ok X1, ok X2) -> U102#(X1, X2), U102#(mark X1, X2) -> U102#(X1, X2)) (splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(ok X1, ok 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#(X1, mark X2) -> splitAt#(X1, X2)) (U111#(mark X1, X2) -> U111#(X1, X2), U111#(ok X1, ok X2) -> U111#(X1, X2)) (U111#(mark X1, X2) -> U111#(X1, X2), U111#(mark X1, X2) -> U111#(X1, X2)) (U121#(mark X1, X2) -> U121#(X1, X2), U121#(ok X1, ok X2) -> U121#(X1, X2)) (U121#(mark X1, X2) -> U121#(X1, X2), U121#(mark X1, X2) -> U121#(X1, X2)) (U132#(mark X1, X2) -> U132#(X1, X2), U132#(ok X1, ok X2) -> U132#(X1, X2)) (U132#(mark X1, X2) -> U132#(X1, X2), U132#(mark X1, X2) -> U132#(X1, X2)) (U142#(mark X1, X2) -> U142#(X1, X2), U142#(ok X1, ok X2) -> U142#(X1, X2)) (U142#(mark X1, X2) -> U142#(X1, X2), U142#(mark X1, X2) -> U142#(X1, X2)) (U152#(mark X1, X2) -> U152#(X1, X2), U152#(ok X1, ok X2) -> U152#(X1, X2)) (U152#(mark X1, X2) -> U152#(X1, X2), U152#(mark X1, X2) -> U152#(X1, X2)) (cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)) (cons#(mark X1, X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)) (U161#(mark X1, X2) -> U161#(X1, X2), U161#(ok X1, ok X2) -> U161#(X1, X2)) (U161#(mark X1, X2) -> U161#(X1, X2), U161#(mark X1, X2) -> U161#(X1, X2)) (afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(ok X1, ok 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#(X1, mark X2) -> afterNth#(X1, X2)) (afterNth#(ok X1, ok X2) -> afterNth#(X1, X2), afterNth#(ok X1, ok 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#(X1, mark X2) -> afterNth#(X1, X2)) (U181#(ok X1, ok X2) -> U181#(X1, X2), U181#(ok X1, ok X2) -> U181#(X1, X2)) (U181#(ok X1, ok X2) -> U181#(X1, X2), U181#(mark X1, X2) -> U181#(X1, X2)) (pair#(mark X1, X2) -> pair#(X1, X2), pair#(ok X1, ok 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#(X1, mark X2) -> pair#(X1, X2)) (U191#(mark X1, X2) -> U191#(X1, X2), U191#(ok X1, ok X2) -> U191#(X1, X2)) (U191#(mark X1, X2) -> U191#(X1, X2), U191#(mark X1, X2) -> U191#(X1, X2)) (U202#(mark X1, X2) -> U202#(X1, X2), U202#(ok X1, ok X2) -> U202#(X1, X2)) (U202#(mark X1, X2) -> U202#(X1, X2), U202#(mark X1, X2) -> U202#(X1, X2)) (U21#(mark X1, X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2)) (U21#(mark X1, X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2)) (U211#(mark X1, X2) -> U211#(X1, X2), U211#(ok X1, ok X2) -> U211#(X1, X2)) (U211#(mark X1, X2) -> U211#(X1, X2), U211#(mark X1, X2) -> U211#(X1, X2)) (U31#(mark X1, X2) -> U31#(X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2)) (U31#(mark X1, X2) -> U31#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)) (U42#(mark X1, X2) -> U42#(X1, X2), U42#(ok X1, ok X2) -> U42#(X1, X2)) (U42#(mark X1, X2) -> U42#(X1, X2), U42#(mark X1, X2) -> U42#(X1, X2)) (U52#(mark X1, X2) -> U52#(X1, X2), U52#(ok X1, ok X2) -> U52#(X1, X2)) (U52#(mark X1, X2) -> U52#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2)) (U61#(mark X1, X2) -> U61#(X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2)) (U61#(mark X1, X2) -> U61#(X1, X2), U61#(mark X1, X2) -> U61#(X1, X2)) (U71#(mark X1, X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2)) (U71#(mark X1, X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)) (U81#(mark X1, X2) -> U81#(X1, X2), U81#(ok X1, ok X2) -> U81#(X1, X2)) (U81#(mark X1, X2) -> U81#(X1, X2), U81#(mark X1, X2) -> U81#(X1, X2)) (U91#(mark X1, X2) -> U91#(X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2)) (U91#(mark X1, X2) -> U91#(X1, X2), U91#(mark X1, X2) -> U91#(X1, X2)) (and#(mark X1, X2) -> and#(X1, X2), and#(ok X1, ok X2) -> and#(X1, X2)) (and#(mark X1, X2) -> and#(X1, X2), and#(mark X1, X2) -> and#(X1, X2)) (take#(X1, mark X2) -> take#(X1, X2), take#(ok X1, ok X2) -> take#(X1, X2)) (take#(X1, mark X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2)) (take#(X1, mark X2) -> take#(X1, X2), take#(X1, mark X2) -> take#(X1, X2)) (take#(ok X1, ok X2) -> take#(X1, X2), take#(ok X1, ok X2) -> take#(X1, X2)) (take#(ok X1, ok X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2)) (take#(ok X1, ok X2) -> take#(X1, X2), take#(X1, mark X2) -> take#(X1, X2)) (sel#(mark X1, X2) -> sel#(X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2)) (sel#(mark X1, X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)) (sel#(mark X1, X2) -> sel#(X1, X2), sel#(X1, mark X2) -> sel#(X1, X2)) (active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2), U131#(ok X1, ok X2, ok X3) -> U131#(X1, X2, X3)) (active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2), U131#(mark X1, X2, X3) -> U131#(X1, X2, X3)) (active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)) (active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)) (active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2), U151#(ok X1, ok X2, ok X3) -> U151#(X1, X2, X3)) (active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2), U151#(mark X1, X2, X3) -> U151#(X1, X2, X3)) (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# U201(X1, X2, X3, X4) -> U201#(active 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), 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)) (active# splitAt(s N, cons(X, XS)) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# splitAt(0(), XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# head cons(N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# afterNth(N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# tail cons(N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# take(N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# sel(N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(mark X1, X2) -> and#(X1, X2)) (active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y), and#(ok X1, ok X2) -> and#(X1, X2)) (active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y), and#(mark X1, X2) -> and#(X1, X2)) (active# splitAt(X1, X2) -> splitAt#(X1, active X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# splitAt(X1, X2) -> splitAt#(X1, active X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# splitAt(X1, X2) -> splitAt#(X1, active X2), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X), and#(ok X1, ok X2) -> and#(X1, X2)) (active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X), and#(mark X1, X2) -> and#(X1, X2)) (active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS), and#(ok X1, ok X2) -> and#(X1, X2)) (active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS), and#(mark X1, X2) -> and#(X1, X2)) (active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N), and#(ok X1, ok X2) -> and#(X1, X2)) (active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N), and#(mark X1, X2) -> and#(X1, X2)) (active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N), and#(ok X1, ok X2) -> and#(X1, X2)) (active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N), and#(mark X1, X2) -> and#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(X1, active X2), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(X1, active X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(X1, active X2), afterNth#(X1, mark X2) -> afterNth#(X1, X2)) (active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y), and#(ok X1, ok X2) -> and#(X1, X2)) (active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y), and#(mark X1, X2) -> and#(X1, X2)) (active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(mark X1, X2) -> and#(X1, X2)) (active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N), and#(ok X1, ok X2) -> and#(X1, X2)) (active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N), and#(mark X1, X2) -> and#(X1, X2)) (active# take(N, XS) -> and#(isNatural N, isNaturalKind N), and#(ok X1, ok X2) -> and#(X1, X2)) (active# take(N, XS) -> and#(isNatural N, isNaturalKind N), and#(mark X1, X2) -> and#(X1, X2)) (active# take(X1, X2) -> take#(X1, active X2), take#(ok X1, ok X2) -> take#(X1, X2)) (active# take(X1, X2) -> take#(X1, active X2), take#(mark X1, X2) -> take#(X1, X2)) (active# take(X1, X2) -> take#(X1, active X2), take#(X1, mark X2) -> take#(X1, X2)) (active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS), and#(ok X1, ok X2) -> and#(X1, X2)) (active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS), and#(mark X1, X2) -> and#(X1, X2)) (proper# U102(X1, X2) -> U102#(proper X1, proper X2), U102#(ok X1, ok X2) -> U102#(X1, X2)) (proper# U102(X1, X2) -> U102#(proper X1, proper X2), U102#(mark X1, X2) -> U102#(X1, X2)) (proper# U111(X1, X2) -> U111#(proper X1, proper X2), U111#(ok X1, ok X2) -> U111#(X1, X2)) (proper# U111(X1, X2) -> U111#(proper X1, proper X2), U111#(mark X1, X2) -> U111#(X1, X2)) (proper# U132(X1, X2) -> U132#(proper X1, proper X2), U132#(ok X1, ok X2) -> U132#(X1, X2)) (proper# U132(X1, X2) -> U132#(proper X1, proper X2), U132#(mark X1, X2) -> U132#(X1, X2)) (proper# U152(X1, X2) -> U152#(proper X1, proper X2), U152#(ok X1, ok X2) -> U152#(X1, X2)) (proper# U152(X1, X2) -> U152#(proper X1, proper X2), U152#(mark X1, X2) -> U152#(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# U181(X1, X2) -> U181#(proper X1, proper X2), U181#(ok X1, ok X2) -> U181#(X1, X2)) (proper# U181(X1, X2) -> U181#(proper X1, proper X2), U181#(mark X1, X2) -> U181#(X1, X2)) (proper# U191(X1, X2) -> U191#(proper X1, proper X2), U191#(ok X1, ok X2) -> U191#(X1, X2)) (proper# U191(X1, X2) -> U191#(proper X1, proper X2), U191#(mark X1, X2) -> U191#(X1, X2)) (proper# U21(X1, X2) -> U21#(proper X1, proper X2), U21#(ok X1, ok X2) -> U21#(X1, X2)) (proper# U21(X1, X2) -> U21#(proper X1, proper X2), U21#(mark X1, X2) -> U21#(X1, X2)) (proper# U31(X1, X2) -> U31#(proper X1, proper X2), U31#(ok X1, ok X2) -> U31#(X1, X2)) (proper# U31(X1, X2) -> U31#(proper X1, proper X2), U31#(mark X1, X2) -> U31#(X1, X2)) (proper# U52(X1, X2) -> U52#(proper X1, proper X2), U52#(ok X1, ok X2) -> U52#(X1, X2)) (proper# U52(X1, X2) -> U52#(proper X1, proper X2), U52#(mark X1, X2) -> U52#(X1, X2)) (proper# U71(X1, X2) -> U71#(proper X1, proper X2), U71#(ok X1, ok X2) -> U71#(X1, X2)) (proper# U71(X1, X2) -> U71#(proper X1, proper X2), U71#(mark X1, X2) -> U71#(X1, X2)) (proper# U91(X1, X2) -> U91#(proper X1, proper X2), U91#(ok X1, ok X2) -> U91#(X1, X2)) (proper# U91(X1, X2) -> U91#(proper X1, proper X2), U91#(mark X1, X2) -> U91#(X1, X2)) (proper# take(X1, X2) -> take#(proper X1, proper X2), take#(ok X1, ok 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#(X1, mark X2) -> take#(X1, X2)) (active# U191(tt(), XS) -> pair#(nil(), XS), pair#(ok X1, ok 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#(X1, mark X2) -> pair#(X1, X2)) (active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), U31#(ok X1, ok X2) -> U31#(X1, X2)) (active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), U31#(mark X1, X2) -> U31#(X1, X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> isLNatKind# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U82 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U82 X -> U82# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U72 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U72 X -> U72# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U53 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U53 X -> U53# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U43 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U43 X -> U43# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (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# X1) (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# fst X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> 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) -> U211#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (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# X2) (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) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> 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) -> U191#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> 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) -> U181#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (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# X1) (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# afterNth(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> 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) -> U161#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U153 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U153 X -> U153# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U143 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U143 X -> U143# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U133 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U133 X -> U133# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U122 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U122 X -> U122# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U112 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U112 X -> U112# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U103 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U103 X -> U103# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> isLNatKind# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U82 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U82 X -> U82# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U72 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U72 X -> U72# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U53 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U53 X -> U53# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U43 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U43 X -> U43# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U141(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U153 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U153 X -> U153# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U143 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U143 X -> U143# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U133 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U133 X -> U133# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U122 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U122 X -> U122# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# U112 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U112 X -> U112# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U103 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U103 X -> U103# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U141(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> 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) -> sel#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> 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) -> take#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> isLNatKind# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U82 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U82 X -> U82# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U72 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U72 X -> U72# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U53 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U53 X -> U53# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U43 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U43 X -> U43# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (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# X1) (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# fst X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> 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) -> U211#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (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# X2) (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) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> 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) -> U191#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> 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) -> pair#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> 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) -> U181#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (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# X1) (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# afterNth(X1, X2) -> 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) -> afterNth#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> 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) -> U161#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> 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) -> cons#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U153 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U153 X -> U153# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U143 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U143 X -> U143# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U133 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U133 X -> U133# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U122 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U122 X -> U122# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# U112 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U112 X -> U112# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (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# X1) (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# splitAt(X1, X2) -> 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) -> splitAt#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U103 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U103 X -> U103# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U171(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> 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) -> sel#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> 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) -> take#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> isLNatKind# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U82 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U82 X -> U82# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U72 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U72 X -> U72# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U53 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U53 X -> U53# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U43 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U43 X -> U43# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (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# X1) (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# fst X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> 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) -> U211#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (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# X2) (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) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> 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) -> U191#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> 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) -> pair#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> 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) -> U181#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (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# X1) (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# afterNth(X1, X2) -> 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) -> afterNth#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> 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) -> U161#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> 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) -> cons#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U153 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U153 X -> U153# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U143 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U143 X -> U143# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U133 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U133 X -> U133# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U122 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U122 X -> U122# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# U112 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U112 X -> U112# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (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# X1) (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# splitAt(X1, X2) -> 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) -> splitAt#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U103 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U103 X -> U103# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U221(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> isLNatKind# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U82 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U82 X -> U82# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U72 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U72 X -> U72# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U53 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U53 X -> U53# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U43 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U43 X -> U43# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U153 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U153 X -> U153# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U143 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U143 X -> U143# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U133 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U133 X -> U133# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U122 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U122 X -> U122# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U112 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U112 X -> U112# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U103 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U103 X -> U103# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (active# isNatural head V1 -> isLNatKind# V1, isLNatKind# ok X -> isLNatKind# X) (active# U101(tt(), V1, V2) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# isLNat cons(V1, V2) -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (active# isLNat afterNth(V1, V2) -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (active# isLNat tail V1 -> isLNatKind# V1, isLNatKind# ok X -> isLNatKind# X) (active# U111(tt(), V1) -> isLNat# V1, isLNat# ok X -> isLNat# X) (active# U131(tt(), V1, V2) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# U151(tt(), V1, V2) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# U51(tt(), V1, V2) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# isPLNat pair(V1, V2) -> isLNatKind# V1, isLNatKind# ok X -> isLNatKind# X) (active# U71(tt(), V1) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# U91(tt(), V1) -> isLNat# V1, isLNat# ok X -> isLNat# X) (active# isNaturalKind head V1 -> isLNatKind# V1, isLNatKind# ok X -> isLNatKind# X) (active# isLNatKind snd V1 -> isPLNatKind# V1, isPLNatKind# ok X -> isPLNatKind# X) (active# isLNatKind natsFrom V1 -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (active# isLNatKind fst V1 -> isPLNatKind# V1, isPLNatKind# ok X -> isPLNatKind# X) (active# isLNatKind take(V1, V2) -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (active# isPLNatKind pair(V1, V2) -> isLNatKind# V1, isLNatKind# ok X -> isLNatKind# X) (active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), U21#(ok X1, ok X2) -> U21#(X1, X2)) (active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), U21#(mark X1, X2) -> U21#(X1, X2)) (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# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3), U141#(ok X1, ok X2, ok X3) -> U141#(X1, X2, X3)) (proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3), U141#(mark X1, X2, X3) -> U141#(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# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)) (proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)) (active# U103 X -> U103# active X, U103# ok X -> U103# X) (active# U103 X -> U103# active X, U103# mark X -> U103# X) (active# U112 X -> U112# active X, U112# ok X -> U112# X) (active# U112 X -> U112# active X, U112# mark X -> U112# X) (active# U133 X -> U133# active X, U133# ok X -> U133# X) (active# U133 X -> U133# active X, U133# mark X -> U133# X) (active# U153 X -> U153# active X, U153# ok X -> U153# X) (active# U153 X -> U153# active X, U153# mark X -> U153# 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# U53 X -> U53# active X, U53# ok X -> U53# X) (active# U53 X -> U53# active X, U53# mark X -> U53# X) (active# U72 X -> U72# active X, U72# ok X -> U72# X) (active# U72 X -> U72# active X, U72# mark X -> U72# X) (active# U92 X -> U92# active X, U92# ok X -> U92# X) (active# U92 X -> U92# active X, U92# mark X -> U92# X) (proper# isNatural X -> isNatural# proper X, isNatural# ok X -> isNatural# X) (proper# isLNat X -> isLNat# proper X, isLNat# ok X -> isLNat# X) (proper# U112 X -> U112# proper X, U112# ok X -> U112# X) (proper# U112 X -> U112# proper X, U112# mark X -> U112# X) (proper# U133 X -> U133# proper X, U133# ok X -> U133# X) (proper# U133 X -> U133# proper X, U133# mark X -> U133# X) (proper# U153 X -> U153# proper X, U153# ok X -> U153# X) (proper# U153 X -> U153# proper X, U153# mark X -> U153# X) (proper# s X -> s# proper X, s# ok X -> s# X) (proper# s X -> s# proper X, s# mark X -> s# X) (proper# fst X -> fst# proper X, fst# ok X -> fst# X) (proper# fst X -> fst# proper X, fst# mark X -> fst# X) (proper# U53 X -> U53# proper X, U53# ok X -> U53# X) (proper# U53 X -> U53# proper X, U53# mark X -> U53# X) (proper# isPLNat X -> isPLNat# proper X, isPLNat# ok X -> isPLNat# X) (proper# U82 X -> U82# proper X, U82# ok X -> U82# X) (proper# U82 X -> U82# proper X, U82# mark X -> U82# X) (proper# isNaturalKind X -> isNaturalKind# proper X, isNaturalKind# ok X -> isNaturalKind# X) (proper# isPLNatKind X -> isPLNatKind# proper X, isPLNatKind# ok X -> isPLNatKind# X) (top# mark X -> top# proper X, top# ok X -> top# active X) (top# mark X -> top# proper X, top# ok X -> active# X) (top# mark X -> top# proper X, top# mark X -> top# proper X) (top# mark X -> top# proper X, top# mark X -> proper# X) (active# U161(tt(), N) -> natsFrom# s N, natsFrom# ok X -> natsFrom# X) (active# U161(tt(), N) -> natsFrom# s N, natsFrom# mark X -> natsFrom# X) (active# U132(tt(), V2) -> U133# isLNat V2, U133# ok X -> U133# X) (active# U132(tt(), V2) -> U133# isLNat V2, U133# mark X -> U133# X) (active# U152(tt(), V2) -> U153# isLNat V2, U153# ok X -> U153# X) (active# U152(tt(), V2) -> U153# isLNat V2, U153# mark X -> U153# X) (active# U52(tt(), V2) -> U53# isLNat V2, U53# ok X -> U53# X) (active# U52(tt(), V2) -> U53# isLNat V2, U53# mark X -> U53# X) (active# U121(tt(), V1) -> U122# isNatural V1, U122# ok X -> U122# X) (active# U121(tt(), V1) -> U122# isNatural V1, U122# mark X -> U122# X) (active# U71(tt(), V1) -> U72# isNatural V1, U72# ok X -> U72# X) (active# U71(tt(), V1) -> U72# isNatural V1, U72# mark X -> U72# X) (active# U91(tt(), V1) -> U92# isLNat V1, U92# ok X -> U92# X) (active# U91(tt(), V1) -> U92# isLNat V1, U92# mark X -> U92# X) (active# snd pair(X, Y) -> isLNatKind# Y, isLNatKind# ok X -> isLNatKind# X) (active# fst pair(X, Y) -> isLNatKind# Y, isLNatKind# ok X -> isLNatKind# X) (active# fst pair(X, Y) -> isLNat# Y, isLNat# ok X -> isLNat# X) (active# snd pair(X, Y) -> isLNat# Y, isLNat# ok X -> isLNat# X) (active# U81(tt(), V1) -> U82# isPLNat V1, U82# mark X -> U82# X) (active# U81(tt(), V1) -> U82# isPLNat V1, U82# ok X -> U82# X) (active# U61(tt(), V1) -> U62# isPLNat V1, U62# mark X -> U62# X) (active# U61(tt(), V1) -> U62# isPLNat V1, U62# ok X -> U62# X) (active# U111(tt(), V1) -> U112# isLNat V1, U112# mark X -> U112# X) (active# U111(tt(), V1) -> U112# isLNat V1, U112# ok X -> U112# X) (active# U42(tt(), V2) -> U43# isLNat V2, U43# mark X -> U43# X) (active# U42(tt(), V2) -> U43# isLNat V2, U43# ok X -> U43# X) (active# U142(tt(), V2) -> U143# isLNat V2, U143# mark X -> U143# X) (active# U142(tt(), V2) -> U143# isLNat V2, U143# ok X -> U143# X) (active# U102(tt(), V2) -> U103# isLNat V2, U103# mark X -> U103# X) (active# U102(tt(), V2) -> U103# isLNat V2, U103# ok X -> U103# X) (top# ok X -> top# active X, top# mark X -> proper# X) (top# ok X -> top# active X, top# mark X -> top# proper X) (top# ok X -> top# active X, top# ok X -> active# X) (top# ok X -> top# active X, top# ok X -> top# active X) (proper# tail X -> tail# proper X, tail# mark X -> tail# X) (proper# tail X -> tail# proper X, tail# ok X -> tail# X) (proper# isLNatKind X -> isLNatKind# proper X, isLNatKind# ok X -> isLNatKind# X) (proper# U92 X -> U92# proper X, U92# mark X -> U92# X) (proper# U92 X -> U92# proper X, U92# ok X -> U92# X) (proper# U72 X -> U72# proper X, U72# mark X -> U72# X) (proper# U72 X -> U72# proper X, U72# ok X -> U72# X) (proper# U62 X -> U62# proper X, U62# mark X -> U62# X) (proper# U62 X -> U62# proper X, U62# ok X -> U62# X) (proper# U43 X -> U43# proper X, U43# mark X -> U43# X) (proper# U43 X -> U43# proper X, U43# ok X -> U43# X) (proper# head X -> head# proper X, head# mark X -> head# X) (proper# head X -> head# proper X, head# ok X -> head# X) (proper# natsFrom X -> natsFrom# proper X, natsFrom# mark X -> natsFrom# X) (proper# natsFrom X -> natsFrom# proper X, natsFrom# ok X -> natsFrom# X) (proper# U143 X -> U143# proper X, U143# mark X -> U143# X) (proper# U143 X -> U143# proper X, U143# ok X -> U143# X) (proper# U122 X -> U122# proper X, U122# mark X -> U122# X) (proper# U122 X -> U122# proper X, U122# ok X -> U122# X) (proper# snd X -> snd# proper X, snd# mark X -> snd# X) (proper# snd X -> snd# proper X, snd# ok X -> snd# X) (proper# U103 X -> U103# proper X, U103# mark X -> U103# X) (proper# U103 X -> U103# proper X, U103# ok X -> U103# X) (active# tail X -> tail# active X, tail# mark X -> tail# X) (active# tail X -> tail# active X, tail# ok X -> tail# X) (active# U82 X -> U82# active X, U82# mark X -> U82# X) (active# U82 X -> U82# active X, U82# ok X -> U82# X) (active# U62 X -> U62# active X, U62# mark X -> U62# X) (active# U62 X -> U62# active X, U62# ok X -> U62# X) (active# U43 X -> U43# active X, U43# mark X -> U43# X) (active# U43 X -> U43# active X, U43# ok X -> U43# 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# U143 X -> U143# active X, U143# mark X -> U143# X) (active# U143 X -> U143# active X, U143# ok X -> U143# X) (active# U122 X -> U122# active X, U122# mark X -> U122# X) (active# U122 X -> U122# active X, U122# ok X -> U122# X) (active# snd X -> snd# active X, snd# mark X -> snd# X) (active# snd X -> snd# active X, snd# ok X -> snd# X) (proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3), U51#(mark X1, X2, X3) -> U51#(X1, X2, X3)) (proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3)) (proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3), U221#(mark X1, X2, X3) -> U221#(X1, X2, X3)) (proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3), U221#(ok X1, ok X2, ok X3) -> U221#(X1, X2, X3)) (proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3), U151#(mark X1, X2, X3) -> U151#(X1, X2, X3)) (proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3), U151#(ok X1, ok X2, ok X3) -> U151#(X1, X2, X3)) (proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3), U131#(mark X1, X2, X3) -> U131#(X1, X2, X3)) (proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3), U131#(ok X1, ok X2, ok X3) -> U131#(X1, X2, X3)) (proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3)) (proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)) (active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X), U202#(mark X1, X2) -> U202#(X1, X2)) (active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X), U202#(ok X1, ok X2) -> U202#(X1, X2)) (active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (active# isLNatKind tail V1 -> isLNatKind# V1, isLNatKind# ok X -> isLNatKind# X) (active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (active# isLNatKind cons(V1, V2) -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (active# isNaturalKind s V1 -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (active# U81(tt(), V1) -> isPLNat# V1, isPLNat# ok X -> isPLNat# X) (active# U61(tt(), V1) -> isPLNat# V1, isPLNat# ok X -> isPLNat# X) (active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (active# U41(tt(), V1, V2) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# U141(tt(), V1, V2) -> isLNat# V1, isLNat# ok X -> isLNat# X) (active# U121(tt(), V1) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# isLNat take(V1, V2) -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (active# isLNat fst V1 -> isPLNatKind# V1, isPLNatKind# ok X -> isPLNatKind# X) (active# isLNat natsFrom V1 -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (active# isLNat snd V1 -> isPLNatKind# V1, isPLNatKind# ok X -> isPLNatKind# X) (active# isNatural sel(V1, V2) -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (active# isNatural s V1 -> isNaturalKind# V1, isNaturalKind# ok X -> isNaturalKind# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U103 X -> U103# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U103 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U112 X -> U112# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U112 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U122 X -> U122# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U122 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U133 X -> U133# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U133 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U143 X -> U143# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U143 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U153 X -> U153# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U153 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U43 X -> U43# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U43 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U53 X -> U53# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U53 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U72 X -> U72# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U72 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U82 X -> U82# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U82 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> isLNatKind# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U102(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U102(X1, X2) -> proper# X2) (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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U103 X -> U103# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U103 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# 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# 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# U112 X -> U112# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U112 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U111(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U111(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U122 X -> U122# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U122 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U121(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U121(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U132(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U132(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U133 X -> U133# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U133 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U142(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U142(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U143 X -> U143# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U143 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U152(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U152(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U153 X -> U153# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U153 X -> proper# X) (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# 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# 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# 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) -> U202#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U202(X1, X2) -> proper# X2) (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# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U21(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# 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# 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# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U43 X -> U43# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U43 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U53 X -> U53# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U53 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U62 X -> U62# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U62 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# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U72 X -> U72# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U72 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U82 X -> U82# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U82 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U92 X -> U92# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U92 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# isNaturalKind X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# isLNatKind X -> isLNatKind# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# isLNatKind X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X3, proper# isPLNatKind 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# U151(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X3, proper# U103 X -> U103# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U103 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X3, proper# U112 X -> U112# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U112 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U122 X -> U122# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U122 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X3, proper# U133 X -> U133# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U133 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X3, proper# U143 X -> U143# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U143 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X3, proper# U153 X -> U153# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U153 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U151(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X3, proper# U43 X -> U43# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U43 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X3, proper# U53 X -> U53# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U53 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U72 X -> U72# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U72 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U82 X -> U82# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U82 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> isLNatKind# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U151(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X3, proper# U103 X -> U103# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U103 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X3, proper# U112 X -> U112# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U112 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U122 X -> U122# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U122 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X3, proper# U133 X -> U133# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U133 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X3, proper# U143 X -> U143# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U143 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X3, proper# U153 X -> U153# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U153 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U131(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X3, proper# U43 X -> U43# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U43 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X3, proper# U53 X -> U53# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U53 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U72 X -> U72# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U72 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U82 X -> U82# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U82 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> isLNatKind# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U131(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U102(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# U103 X -> U103# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U103 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# U112 X -> U112# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U112 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U111(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U122 X -> U122# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U122 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U121(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U132(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U131(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# U133 X -> U133# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U133 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U142(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U141(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# U143 X -> U143# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U143 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U152(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U151(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# U153 X -> U153# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U153 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U161(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U171(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U181(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U191(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U202(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U101(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U211(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U221(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U42(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# U43 X -> U43# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U43 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# U53 X -> U53# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U53 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U62 X -> U62# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U62 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U72 X -> U72# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U72 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U82 X -> U82# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U82 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U81(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U92 X -> U92# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U92 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isNaturalKind X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> isLNatKind# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isLNatKind X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isPLNatKind X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N), U161#(mark X1, X2) -> U161#(X1, X2)) (active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N), U161#(ok X1, ok X2) -> U161#(X1, X2)) (proper# sel(X1, X2) -> sel#(proper X1, proper X2), sel#(X1, mark 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#(ok X1, ok X2) -> sel#(X1, X2)) (proper# and(X1, X2) -> and#(proper X1, proper X2), and#(mark X1, X2) -> and#(X1, X2)) (proper# and(X1, X2) -> and#(proper X1, proper X2), and#(ok X1, ok X2) -> and#(X1, X2)) (proper# U81(X1, X2) -> U81#(proper X1, proper X2), U81#(mark X1, X2) -> U81#(X1, X2)) (proper# U81(X1, X2) -> U81#(proper X1, proper X2), U81#(ok X1, ok X2) -> U81#(X1, X2)) (proper# U61(X1, X2) -> U61#(proper X1, proper X2), U61#(mark X1, X2) -> U61#(X1, X2)) (proper# U61(X1, X2) -> U61#(proper X1, proper X2), U61#(ok X1, ok X2) -> U61#(X1, X2)) (proper# U42(X1, X2) -> U42#(proper X1, proper X2), U42#(mark X1, X2) -> U42#(X1, X2)) (proper# U42(X1, X2) -> U42#(proper X1, proper X2), U42#(ok X1, ok X2) -> U42#(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# U202(X1, X2) -> U202#(proper X1, proper X2), U202#(mark X1, X2) -> U202#(X1, X2)) (proper# U202(X1, X2) -> U202#(proper X1, proper X2), U202#(ok X1, ok X2) -> U202#(X1, X2)) (proper# pair(X1, X2) -> pair#(proper X1, proper X2), pair#(X1, mark 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#(ok X1, ok X2) -> pair#(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# U142(X1, X2) -> U142#(proper X1, proper X2), U142#(mark X1, X2) -> U142#(X1, X2)) (proper# U142(X1, X2) -> U142#(proper X1, proper X2), U142#(ok X1, ok X2) -> U142#(X1, X2)) (proper# U121(X1, X2) -> U121#(proper X1, proper X2), U121#(mark X1, X2) -> U121#(X1, X2)) (proper# U121(X1, X2) -> U121#(proper X1, proper X2), U121#(ok X1, ok X2) -> U121#(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# sel(N, XS) -> and#(isNatural N, isNaturalKind N), and#(mark X1, X2) -> and#(X1, X2)) (active# sel(N, XS) -> and#(isNatural N, isNaturalKind N), and#(ok X1, ok X2) -> and#(X1, X2)) (active# take(N, XS) -> and#(isLNat XS, isLNatKind XS), and#(mark X1, X2) -> and#(X1, X2)) (active# take(N, XS) -> and#(isLNat XS, isLNatKind XS), and#(ok X1, ok X2) -> and#(X1, X2)) (active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS), and#(mark X1, X2) -> and#(X1, X2)) (active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X), and#(mark X1, X2) -> and#(X1, X2)) (active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X), and#(ok X1, ok X2) -> and#(X1, X2)) (active# pair(X1, X2) -> pair#(X1, active X2), pair#(X1, mark X2) -> pair#(X1, X2)) (active# pair(X1, X2) -> pair#(X1, active X2), pair#(mark X1, X2) -> pair#(X1, X2)) (active# pair(X1, X2) -> pair#(X1, active X2), pair#(ok X1, ok X2) -> pair#(X1, X2)) (active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS), and#(mark X1, X2) -> and#(X1, X2)) (active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS), and#(ok X1, ok X2) -> and#(X1, X2)) (active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS), and#(mark X1, X2) -> and#(X1, X2)) (active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS), and#(ok X1, ok X2) -> and#(X1, X2)) (active# natsFrom N -> and#(isNatural N, isNaturalKind N), and#(mark X1, X2) -> and#(X1, X2)) (active# natsFrom N -> and#(isNatural N, isNaturalKind N), and#(ok X1, ok X2) -> and#(X1, X2)) (active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS), and#(mark X1, X2) -> and#(X1, X2)) (active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS), and#(ok X1, ok X2) -> and#(X1, X2)) (active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N), and#(mark X1, X2) -> and#(X1, X2)) (active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N), and#(ok X1, ok X2) -> and#(X1, X2)) (active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X), and#(mark X1, X2) -> and#(X1, X2)) (active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# sel(N, XS) -> isLNatKind# XS, isLNatKind# ok X -> isLNatKind# X) (active# take(N, XS) -> isLNatKind# XS, isLNatKind# ok X -> isLNatKind# X) (active# tail cons(N, XS) -> isLNatKind# XS, isLNatKind# ok X -> isLNatKind# X) (active# afterNth(N, XS) -> isLNatKind# XS, isLNatKind# ok X -> isLNatKind# X) (active# head cons(N, XS) -> isLNatKind# XS, isLNatKind# ok X -> isLNatKind# X) (active# splitAt(0(), XS) -> isLNatKind# XS, isLNatKind# ok X -> isLNatKind# X) (active# splitAt(s N, cons(X, XS)) -> isLNatKind# XS, isLNatKind# ok X -> isLNatKind# X) (active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), U201#(mark X1, X2, X3, X4) -> U201#(X1, X2, X3, X4)) (active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), 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), 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)) (active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2), U141#(mark X1, X2, X3) -> U141#(X1, X2, X3)) (active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2), U141#(ok X1, ok X2, ok X3) -> U141#(X1, X2, X3)) (active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3)) (active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)) (active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2), U51#(mark X1, X2, X3) -> U51#(X1, X2, X3)) (active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3)) (sel#(ok X1, ok X2) -> sel#(X1, X2), sel#(X1, mark X2) -> sel#(X1, X2)) (sel#(ok X1, ok X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)) (sel#(ok X1, ok X2) -> sel#(X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2)) (sel#(X1, mark X2) -> sel#(X1, X2), sel#(X1, mark X2) -> sel#(X1, X2)) (sel#(X1, mark X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)) (sel#(X1, mark X2) -> sel#(X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2)) (take#(mark X1, X2) -> take#(X1, X2), take#(X1, mark X2) -> take#(X1, X2)) (take#(mark X1, X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2)) (take#(mark X1, X2) -> take#(X1, X2), take#(ok X1, ok X2) -> take#(X1, X2)) (and#(ok X1, ok X2) -> and#(X1, X2), and#(mark X1, X2) -> and#(X1, X2)) (and#(ok X1, ok X2) -> and#(X1, X2), and#(ok X1, ok X2) -> and#(X1, X2)) (U91#(ok X1, ok X2) -> U91#(X1, X2), U91#(mark X1, X2) -> U91#(X1, X2)) (U91#(ok X1, ok X2) -> U91#(X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2)) (U81#(ok X1, ok X2) -> U81#(X1, X2), U81#(mark X1, X2) -> U81#(X1, X2)) (U81#(ok X1, ok X2) -> U81#(X1, X2), U81#(ok X1, ok X2) -> U81#(X1, X2)) (U71#(ok X1, ok X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)) (U71#(ok X1, ok X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2)) (U61#(ok X1, ok X2) -> U61#(X1, X2), U61#(mark X1, X2) -> U61#(X1, X2)) (U61#(ok X1, ok X2) -> U61#(X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2)) (U52#(ok X1, ok X2) -> U52#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2)) (U52#(ok X1, ok X2) -> U52#(X1, X2), U52#(ok X1, ok X2) -> U52#(X1, X2)) (U42#(ok X1, ok X2) -> U42#(X1, X2), U42#(mark X1, X2) -> U42#(X1, X2)) (U42#(ok X1, ok X2) -> U42#(X1, X2), U42#(ok X1, ok X2) -> U42#(X1, X2)) (U31#(ok X1, ok X2) -> U31#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)) (U31#(ok X1, ok X2) -> U31#(X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2)) (U211#(ok X1, ok X2) -> U211#(X1, X2), U211#(mark X1, X2) -> U211#(X1, X2)) (U211#(ok X1, ok X2) -> U211#(X1, X2), U211#(ok X1, ok X2) -> U211#(X1, X2)) (U21#(ok X1, ok X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2)) (U21#(ok X1, ok X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2)) (U202#(ok X1, ok X2) -> U202#(X1, X2), U202#(mark X1, X2) -> U202#(X1, X2)) (U202#(ok X1, ok X2) -> U202#(X1, X2), U202#(ok X1, ok X2) -> U202#(X1, X2)) (U191#(ok X1, ok X2) -> U191#(X1, X2), U191#(mark X1, X2) -> U191#(X1, X2)) (U191#(ok X1, ok X2) -> U191#(X1, X2), U191#(ok X1, ok X2) -> U191#(X1, X2)) (pair#(ok X1, ok X2) -> pair#(X1, X2), pair#(X1, mark 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#(ok X1, ok X2) -> pair#(X1, X2)) (pair#(X1, mark X2) -> pair#(X1, X2), pair#(X1, mark X2) -> pair#(X1, X2)) (pair#(X1, mark X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2)) (pair#(X1, mark X2) -> pair#(X1, X2), pair#(ok X1, ok X2) -> pair#(X1, X2)) (U181#(mark X1, X2) -> U181#(X1, X2), U181#(mark X1, X2) -> U181#(X1, X2)) (U181#(mark X1, X2) -> U181#(X1, X2), U181#(ok X1, ok X2) -> U181#(X1, X2)) (afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(X1, mark 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#(ok X1, ok X2) -> afterNth#(X1, X2)) (U161#(ok X1, ok X2) -> U161#(X1, X2), U161#(mark X1, X2) -> U161#(X1, X2)) (U161#(ok X1, ok X2) -> U161#(X1, X2), U161#(ok X1, ok X2) -> U161#(X1, X2)) (cons#(ok X1, ok X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)) (cons#(ok X1, ok X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)) (U152#(ok X1, ok X2) -> U152#(X1, X2), U152#(mark X1, X2) -> U152#(X1, X2)) (U152#(ok X1, ok X2) -> U152#(X1, X2), U152#(ok X1, ok X2) -> U152#(X1, X2)) (U142#(ok X1, ok X2) -> U142#(X1, X2), U142#(mark X1, X2) -> U142#(X1, X2)) (U142#(ok X1, ok X2) -> U142#(X1, X2), U142#(ok X1, ok X2) -> U142#(X1, X2)) (U132#(ok X1, ok X2) -> U132#(X1, X2), U132#(mark X1, X2) -> U132#(X1, X2)) (U132#(ok X1, ok X2) -> U132#(X1, X2), U132#(ok X1, ok X2) -> U132#(X1, X2)) (U121#(ok X1, ok X2) -> U121#(X1, X2), U121#(mark X1, X2) -> U121#(X1, X2)) (U121#(ok X1, ok X2) -> U121#(X1, X2), U121#(ok X1, ok X2) -> U121#(X1, X2)) (U111#(ok X1, ok X2) -> U111#(X1, X2), U111#(mark X1, X2) -> U111#(X1, X2)) (U111#(ok X1, ok X2) -> U111#(X1, X2), U111#(ok X1, ok X2) -> U111#(X1, X2)) (splitAt#(ok X1, ok X2) -> splitAt#(X1, X2), splitAt#(X1, mark 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#(ok X1, ok X2) -> splitAt#(X1, X2)) (splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (U102#(mark X1, X2) -> U102#(X1, X2), U102#(mark X1, X2) -> U102#(X1, X2)) (U102#(mark X1, X2) -> U102#(X1, X2), U102#(ok X1, ok X2) -> U102#(X1, X2)) (active# take(X1, X2) -> take#(active X1, X2), take#(X1, mark X2) -> take#(X1, X2)) (active# take(X1, X2) -> take#(active X1, X2), take#(mark X1, X2) -> take#(X1, X2)) (active# take(X1, X2) -> take#(active X1, X2), take#(ok X1, ok X2) -> take#(X1, X2)) (active# U91(X1, X2) -> U91#(active X1, X2), U91#(mark X1, X2) -> U91#(X1, X2)) (active# U91(X1, X2) -> U91#(active X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2)) (active# U71(X1, X2) -> U71#(active X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)) (active# U71(X1, X2) -> U71#(active X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2)) (active# U52(X1, X2) -> U52#(active X1, X2), U52#(mark X1, X2) -> U52#(X1, X2)) (active# U52(X1, X2) -> U52#(active X1, X2), U52#(ok X1, ok X2) -> U52#(X1, X2)) (active# U31(X1, X2) -> U31#(active X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)) (active# U31(X1, X2) -> U31#(active X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2)) (active# U21(X1, X2) -> U21#(active X1, X2), U21#(mark X1, X2) -> U21#(X1, X2)) (active# U21(X1, X2) -> U21#(active X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2)) (active# U191(X1, X2) -> U191#(active X1, X2), U191#(mark X1, X2) -> U191#(X1, X2)) (active# U191(X1, X2) -> U191#(active X1, X2), U191#(ok X1, ok X2) -> U191#(X1, X2)) (active# U181(X1, X2) -> U181#(active X1, X2), U181#(mark X1, X2) -> U181#(X1, X2)) (active# U181(X1, X2) -> U181#(active X1, X2), U181#(ok X1, ok X2) -> U181#(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# U152(X1, X2) -> U152#(active X1, X2), U152#(mark X1, X2) -> U152#(X1, X2)) (active# U152(X1, X2) -> U152#(active X1, X2), U152#(ok X1, ok X2) -> U152#(X1, X2)) (active# U132(X1, X2) -> U132#(active X1, X2), U132#(mark X1, X2) -> U132#(X1, X2)) (active# U132(X1, X2) -> U132#(active X1, X2), U132#(ok X1, ok X2) -> U132#(X1, X2)) (active# U111(X1, X2) -> U111#(active X1, X2), U111#(mark X1, X2) -> U111#(X1, X2)) (active# U111(X1, X2) -> U111#(active X1, X2), U111#(ok X1, ok X2) -> U111#(X1, X2)) (active# U102(X1, X2) -> U102#(active X1, X2), U102#(mark X1, X2) -> U102#(X1, X2)) (active# U102(X1, X2) -> U102#(active X1, X2), U102#(ok X1, ok X2) -> U102#(X1, X2)) (active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), U221#(mark X1, X2, X3) -> U221#(X1, X2, X3)) (active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), U221#(ok X1, ok X2, ok X3) -> U221#(X1, X2, X3)) (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)) (U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3), U51#(mark X1, X2, X3) -> U51#(X1, X2, X3)) (U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3)) (U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)) (U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)) (U221#(ok X1, ok X2, ok 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), U221#(ok X1, ok X2, ok X3) -> U221#(X1, X2, X3)) (U171#(ok X1, ok X2, ok 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), U171#(ok X1, ok X2, ok X3) -> U171#(X1, X2, X3)) (U151#(ok X1, ok X2, ok X3) -> U151#(X1, X2, X3), U151#(mark X1, X2, X3) -> U151#(X1, X2, X3)) (U151#(ok X1, ok X2, ok X3) -> U151#(X1, X2, X3), U151#(ok X1, ok X2, ok X3) -> U151#(X1, X2, X3)) (U141#(ok X1, ok X2, ok X3) -> U141#(X1, X2, X3), U141#(mark X1, X2, X3) -> U141#(X1, X2, X3)) (U141#(ok X1, ok X2, ok X3) -> U141#(X1, X2, X3), U141#(ok X1, ok X2, ok X3) -> U141#(X1, X2, X3)) (U131#(ok X1, ok X2, ok X3) -> U131#(X1, X2, X3), U131#(mark X1, X2, X3) -> U131#(X1, X2, X3)) (U131#(ok X1, ok X2, ok X3) -> U131#(X1, X2, X3), U131#(ok X1, ok X2, ok X3) -> U131#(X1, X2, X3)) (U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3)) (U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)) (active# U51(X1, X2, X3) -> U51#(active X1, X2, X3), U51#(mark X1, X2, X3) -> U51#(X1, X2, X3)) (active# U51(X1, X2, X3) -> U51#(active X1, X2, X3), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3)) (active# 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# U151(X1, X2, X3) -> U151#(active X1, X2, X3), U151#(mark X1, X2, X3) -> U151#(X1, X2, X3)) (active# U151(X1, X2, X3) -> U151#(active X1, X2, X3), U151#(ok X1, ok X2, ok X3) -> U151#(X1, X2, X3)) (active# U131(X1, X2, X3) -> U131#(active X1, X2, X3), U131#(mark X1, X2, X3) -> U131#(X1, X2, X3)) (active# U131(X1, X2, X3) -> U131#(active X1, X2, X3), U131#(ok X1, ok X2, ok X3) -> U131#(X1, X2, X3)) (active# U101(X1, X2, X3) -> U101#(active X1, X2, X3), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3)) (active# U101(X1, X2, X3) -> U101#(active X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)) (proper# take(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# take(X1, X2) -> proper# X2, proper# U103 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# 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# 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# U112 X -> U112# proper X) (proper# take(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# take(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# take(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# take(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# take(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (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# 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# 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# 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) -> U202#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (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# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# 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# fst X -> fst# proper X) (proper# take(X1, X2) -> proper# X2, proper# fst X -> proper# X) (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# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# take(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# take(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# take(X1, X2) -> proper# X2, proper# U62 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# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# take(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# take(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# take(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# take(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# take(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# take(X1, X2) -> proper# X2, proper# isPLNatKind 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# U91(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U91(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U91(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U91(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U91(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U91(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U91(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U91(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U91(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U91(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U91(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U91(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U91(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U91(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U91(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U91(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U91(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U91(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U91(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U91(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U91(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U91(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U91(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U91(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U91(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U91(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U91(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U91(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U71(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U71(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U71(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U71(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U71(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U71(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U71(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U71(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U71(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U71(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U71(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U71(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U71(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U71(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U103 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U112 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U122 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U133 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U143 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U153 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U43 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U53 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U72 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U82 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U103 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U112 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U122 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U133 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U143 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U153 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U43 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U53 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U62 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U72 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U82 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U92 X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U31(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U31(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U31(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U31(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U31(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U31(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U31(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U31(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U31(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U31(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U31(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U31(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U211(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U211(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U211(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (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# U11(X1, X2, X3) -> proper# X1) (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# X3) (proper# U211(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U211(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U211(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U211(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (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# U171(X1, X2, X3) -> proper# X1) (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# X3) (proper# U211(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (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# U201(X1, X2, X3, X4) -> proper# X1) (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# X3) (proper# U211(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U211(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U211(X1, X2) -> proper# X2, proper# fst X -> proper# X) (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# U221(X1, X2, X3) -> proper# X1) (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# X3) (proper# U211(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U211(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U211(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U211(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U211(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U211(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U211(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U211(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U211(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U211(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U211(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U211(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U211(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isNatural X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U103 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# isLNat 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# snd X -> proper# X) (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# splitAt(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (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# U11(X1, X2, X3) -> proper# X1) (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# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U112 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U122 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U133 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U143 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U153 X -> proper# X) (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# cons(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# natsFrom 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# s X -> proper# X) (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# U161(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# head X -> head# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# head X -> proper# X) (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# afterNth(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (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# U171(X1, X2, X3) -> proper# X1) (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# X3) (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# U181(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (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# pair(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (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# U191(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (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# U201(X1, X2, X3, X4) -> proper# X1) (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# X3) (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# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (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# U211(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# fst X -> fst# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# fst X -> proper# X) (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# U221(X1, X2, X3) -> proper# X1) (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# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U43 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U53 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U62 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# isPLNat X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U72 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U82 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U92 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# isPLNatKind 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# tail X -> proper# X) (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# take(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X2) (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# sel(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U191(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U191(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U191(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (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# U11(X1, X2, X3) -> proper# X1) (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# X3) (proper# U191(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U191(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U191(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U191(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (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# U171(X1, X2, X3) -> proper# X1) (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# X3) (proper# U191(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (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# U201(X1, X2, X3, X4) -> proper# X1) (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# X3) (proper# U191(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U191(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U191(X1, X2) -> proper# X2, proper# fst X -> proper# X) (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# U221(X1, X2, X3) -> proper# X1) (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# X3) (proper# U191(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U191(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U191(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U191(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U191(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U191(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U191(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U191(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U191(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U191(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U191(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U191(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U191(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U181(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U181(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U181(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (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# U11(X1, X2, X3) -> proper# X1) (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# X3) (proper# U181(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U181(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U181(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U181(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (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# U171(X1, X2, X3) -> proper# X1) (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# X3) (proper# U181(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (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# U201(X1, X2, X3, X4) -> proper# X1) (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# X3) (proper# U181(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U181(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U181(X1, X2) -> proper# X2, proper# fst X -> proper# X) (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# U221(X1, X2, X3) -> proper# X1) (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# X3) (proper# U181(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U181(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U181(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U181(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U181(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U181(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U181(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U181(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U181(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U181(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U181(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U181(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U181(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (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# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (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# U201(X1, X2, X3, X4) -> proper# X1) (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# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (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# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# cons(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# cons(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# cons(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# cons(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# cons(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# cons(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (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# X3) (proper# cons(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (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# U201(X1, X2, X3, X4) -> proper# X1) (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# X3) (proper# cons(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# cons(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (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# X3) (proper# cons(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# cons(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# cons(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# cons(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# cons(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# cons(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U152(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U152(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U152(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U152(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U152(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U152(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U152(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U152(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U152(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U152(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U152(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U152(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U152(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U152(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U152(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U152(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U152(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U152(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U152(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U152(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U152(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U152(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U152(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U152(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U152(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U152(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U152(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U152(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U152(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U152(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U152(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U152(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U152(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U142(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U142(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U142(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U142(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U142(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U142(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U142(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U142(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U142(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U142(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U142(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U142(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U142(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U142(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U142(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U142(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U142(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U142(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U142(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U142(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U142(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U142(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U142(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U142(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U142(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U142(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U142(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U142(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U142(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U142(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U142(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U142(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U142(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U132(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U132(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U132(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U132(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U132(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U132(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U132(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U132(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U132(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U132(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U132(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U132(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U132(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U132(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U132(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U132(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U132(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U132(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U132(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U132(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U132(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U132(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U132(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U132(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U132(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U132(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U132(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U132(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U132(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U132(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U132(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U132(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U132(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U111(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U111(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U111(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U111(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U111(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U111(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U111(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U111(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U111(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U111(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U111(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U111(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U111(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U111(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U111(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U111(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U111(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U111(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U111(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# U111(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# U111(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U111(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# U111(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# U111(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# U111(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U111(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# U111(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U111(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U111(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U111(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U111(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U111(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U111(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (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# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (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# U201(X1, X2, X3, X4) -> proper# X1) (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# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (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# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U53 X -> U53# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U53 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U62 X -> U62# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U62 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U72 X -> U72# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U72 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U82 X -> U82# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U82 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U81(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U92 X -> U92# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U92 X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# isLNatKind X -> isLNatKind# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# isLNatKind X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# isPLNatKind X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U102(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U102(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X2, proper# U103 X -> U103# proper X) (proper# U102(X1, X2) -> proper# X2, proper# U103 X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U102(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U102(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X2, proper# U112 X -> U112# proper X) (proper# U102(X1, X2) -> proper# X2, proper# U112 X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U111(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U122 X -> U122# proper X) (proper# U102(X1, X2) -> proper# X2, proper# U122 X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U121(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X2, proper# U133 X -> U133# proper X) (proper# U102(X1, X2) -> proper# X2, proper# U133 X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U142(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X2, proper# U143 X -> U143# proper X) (proper# U102(X1, X2) -> proper# X2, proper# U143 X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U152(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X2, proper# U153 X -> U153# proper X) (proper# U102(X1, X2) -> proper# X2, proper# U153 X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U102(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U102(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U161(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U102(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X2, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U181(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U191(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U202(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U102(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U102(X1, X2) -> proper# X2, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U102(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U102(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U102(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U102(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U102(X1, X2) -> proper# X2, proper# U43 X -> U43# proper X) (proper# U102(X1, X2) -> proper# X2, proper# U43 X -> proper# X) (proper# U102(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U102(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U102(X1, X2) -> proper# X2, proper# U52(X1, X2) 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X2, active# U43 X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# U43 X -> U43# active X) (active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> U52#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U52(tt(), V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X2, active# U52(tt(), V2) -> U53# isLNat V2) (active# afterNth(X1, X2) -> active# X2, active# U51(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X2, active# U51(tt(), V1, V2) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X2, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# afterNth(X1, X2) -> active# X2, active# U53 X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# U53 X -> U53# active X) (active# afterNth(X1, X2) -> active# X2, active# U62 X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# U62 X -> U62# active X) (active# afterNth(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# afterNth(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# afterNth(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# afterNth(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# afterNth(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# afterNth(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# afterNth(X1, X2) -> active# X2, active# U61(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U61(X1, X2) -> U61#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U61(tt(), V1) -> U62# isPLNat V1) (active# afterNth(X1, X2) -> active# X2, active# U61(tt(), V1) -> isPLNat# V1) (active# afterNth(X1, X2) -> active# X2, active# U72 X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# U72 X -> U72# active X) (active# afterNth(X1, X2) -> active# X2, active# U71(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U71(X1, X2) -> U71#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U71(tt(), V1) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X2, active# U71(tt(), V1) -> U72# isNatural V1) (active# afterNth(X1, X2) -> active# X2, active# U82 X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# U82 X -> U82# active X) (active# afterNth(X1, X2) -> active# X2, active# U81(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U81(X1, X2) -> U81#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U81(tt(), V1) -> isPLNat# V1) (active# afterNth(X1, X2) -> active# X2, active# U81(tt(), V1) -> U82# isPLNat V1) (active# afterNth(X1, X2) -> active# X2, active# U92 X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# U92 X -> U92# active X) (active# afterNth(X1, X2) -> active# X2, active# U91(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U91(X1, X2) -> U91#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U91(tt(), V1) -> isLNat# V1) (active# afterNth(X1, X2) -> active# X2, active# U91(tt(), V1) -> U92# isLNat V1) (active# afterNth(X1, X2) -> active# X2, active# and(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# and(X1, X2) -> and#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isNaturalKind head V1 -> isLNatKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# afterNth(X1, X2) -> active# X2, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# afterNth(X1, X2) -> active# X2, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# afterNth(X1, X2) -> active# X2, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# afterNth(X1, X2) -> active# X2, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# afterNth(X1, X2) -> active# X2, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# afterNth(X1, X2) -> active# X2, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNatKind tail V1 -> isLNatKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# afterNth(X1, X2) -> active# X2, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# afterNth(X1, X2) -> active# X2, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# afterNth(X1, X2) -> active# X2, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# afterNth(X1, X2) -> active# X2, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# afterNth(X1, X2) -> active# X2, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# afterNth(X1, X2) -> active# X2, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# afterNth(X1, X2) -> active# X2, active# tail X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# tail X -> tail# active X) (active# afterNth(X1, X2) -> active# X2, active# tail cons(N, XS) -> isNatural# N) (active# afterNth(X1, X2) -> active# X2, active# tail cons(N, XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X2, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# afterNth(X1, X2) -> active# X2, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# afterNth(X1, X2) -> active# X2, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# afterNth(X1, X2) -> active# X2, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# afterNth(X1, X2) -> active# X2, active# tail cons(N, XS) -> isNaturalKind# N) (active# afterNth(X1, X2) -> active# X2, active# tail cons(N, XS) -> isLNatKind# XS) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> isNatural# N) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> isNaturalKind# N) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> isLNatKind# 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) -> isNatural# N) (active# afterNth(X1, X2) -> active# X2, active# sel(N, XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X2, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# afterNth(X1, X2) -> active# X2, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# afterNth(X1, X2) -> active# X2, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# afterNth(X1, X2) -> active# X2, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# afterNth(X1, X2) -> active# X2, active# sel(N, XS) -> isNaturalKind# N) (active# afterNth(X1, X2) -> active# X2, active# sel(N, XS) -> isLNatKind# XS) (active# afterNth(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2)) (active# afterNth(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U221(tt(), N, XS) -> splitAt#(N, XS), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (active# U221(tt(), N, XS) -> splitAt#(N, XS), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# U221(tt(), N, XS) -> splitAt#(N, XS), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# U171(tt(), N, XS) -> afterNth#(N, XS), afterNth#(X1, mark X2) -> afterNth#(X1, X2)) (active# U171(tt(), N, XS) -> afterNth#(N, XS), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (active# U171(tt(), N, XS) -> afterNth#(N, XS), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2)) (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)) (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)) (active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS), U191#(mark X1, X2) -> U191#(X1, X2)) (active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS), U191#(ok X1, ok X2) -> U191#(X1, X2)) (active# sel(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# take(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# tail cons(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# afterNth(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# head cons(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# natsFrom N -> isNaturalKind# N, isNaturalKind# ok X -> isNaturalKind# X) (active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N, isNaturalKind# ok X -> isNaturalKind# X) (active# isLNat tail V1 -> U91#(isLNatKind V1, V1), U91#(mark X1, X2) -> U91#(X1, X2)) (active# isLNat tail V1 -> U91#(isLNatKind V1, V1), U91#(ok X1, ok X2) -> U91#(X1, X2)) (active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1), U71#(mark X1, X2) -> U71#(X1, X2)) (active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1), U71#(ok X1, ok X2) -> U71#(X1, X2)) (active# isNatural head V1 -> U111#(isLNatKind V1, V1), U111#(mark X1, X2) -> U111#(X1, X2)) (active# isNatural head V1 -> U111#(isLNatKind V1, V1), U111#(ok X1, ok X2) -> U111#(X1, X2)) (top# ok X -> active# X, active# U102(X1, X2) -> U102#(active X1, X2)) (top# ok X -> active# X, active# U102(X1, X2) -> active# X1) (top# ok X -> active# X, active# U102(tt(), V2) -> U103# isLNat V2) (top# ok X -> active# X, active# U102(tt(), V2) -> isLNat# V2) (top# ok X -> active# X, active# isNatural s V1 -> U121#(isNaturalKind V1, V1)) (top# ok X -> active# X, active# isNatural s V1 -> isNaturalKind# V1) (top# ok X -> active# X, active# isNatural head V1 -> U111#(isLNatKind V1, V1)) (top# ok X -> active# X, active# isNatural head V1 -> isLNatKind# V1) (top# ok X -> active# X, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (top# ok X -> active# X, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (top# ok X -> active# X, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (top# ok X -> active# X, active# isNatural sel(V1, V2) -> isLNatKind# V2) (top# ok X -> active# X, active# U101(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (top# ok X -> active# X, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (top# ok X -> active# X, active# U101(tt(), V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# U103 X -> active# X) (top# ok X -> active# X, active# U103 X -> U103# active X) (top# ok X -> active# X, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (top# ok X -> active# X, active# isLNat snd V1 -> isPLNatKind# V1) (top# ok X -> active# X, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (top# ok X -> active# X, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (top# ok X -> active# X, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (top# ok X -> active# X, active# isLNat cons(V1, V2) -> isLNatKind# V2) (top# ok X -> active# X, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (top# ok X -> active# X, active# isLNat natsFrom V1 -> isNaturalKind# V1) (top# ok X -> active# X, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (top# ok X -> active# X, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (top# ok X -> active# X, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (top# ok X -> active# X, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (top# ok X -> active# X, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (top# ok X -> active# X, active# isLNat fst V1 -> isPLNatKind# V1) (top# ok X -> active# X, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) (top# ok X -> active# X, active# isLNat tail V1 -> isLNatKind# V1) (top# ok X -> active# X, active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (top# ok X -> active# X, active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (top# ok X -> active# X, active# isLNat take(V1, V2) -> isNaturalKind# V1) (top# ok X -> active# X, active# isLNat take(V1, V2) -> isLNatKind# V2) (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# Y) (top# ok X -> active# X, active# snd pair(X, Y) -> isLNat# X) (top# ok X -> active# X, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (top# ok X -> active# X, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (top# ok X -> active# X, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (top# ok X -> active# X, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (top# ok X -> active# X, active# snd pair(X, Y) -> isLNatKind# Y) (top# ok X -> active# X, active# snd pair(X, Y) -> isLNatKind# X) (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)) -> isNatural# X) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> isLNatKind# XS) (top# ok X -> active# X, active# splitAt(0(), XS) -> isLNat# XS) (top# ok X -> active# X, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS)) (top# ok X -> active# X, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (top# ok X -> active# X, active# splitAt(0(), XS) -> isLNatKind# 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) -> snd# splitAt(N, XS)) (top# ok X -> active# X, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (top# ok X -> active# X, active# U112 X -> active# X) (top# ok X -> active# X, active# U112 X -> U112# active X) (top# ok X -> active# X, active# U111(X1, X2) -> active# X1) (top# ok X -> active# X, active# U111(X1, X2) -> U111#(active X1, X2)) (top# ok X -> active# X, active# U111(tt(), V1) -> isLNat# V1) (top# ok X -> active# X, active# U111(tt(), V1) -> U112# isLNat V1) (top# ok X -> active# X, active# U122 X -> active# X) (top# ok X -> active# X, active# U122 X -> U122# active X) (top# ok X -> active# X, active# U121(X1, X2) -> active# X1) (top# ok X -> active# X, active# U121(X1, X2) -> U121#(active X1, X2)) (top# ok X -> active# X, active# U121(tt(), V1) -> isNatural# V1) (top# ok X -> active# X, active# U121(tt(), V1) -> U122# isNatural V1) (top# ok X -> active# X, active# U132(X1, X2) -> active# X1) (top# ok X -> active# X, active# U132(X1, X2) -> U132#(active X1, X2)) (top# ok X -> active# X, active# U132(tt(), V2) -> isLNat# V2) (top# ok X -> active# X, active# U132(tt(), V2) -> U133# isLNat V2) (top# ok X -> active# X, active# U131(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (top# ok X -> active# X, active# U131(tt(), V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (top# ok X -> active# X, active# U133 X -> active# X) (top# ok X -> active# X, active# U133 X -> U133# active X) (top# ok X -> active# X, active# U142(X1, X2) -> active# X1) (top# ok X -> active# X, active# U142(X1, X2) -> U142#(active X1, X2)) (top# ok X -> active# X, active# U142(tt(), V2) -> isLNat# V2) (top# ok X -> active# X, active# U142(tt(), V2) -> U143# isLNat V2) (top# ok X -> active# X, active# U141(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (top# ok X -> active# X, active# U141(tt(), V1, V2) -> isLNat# V1) (top# ok X -> active# X, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (top# ok X -> active# X, active# U143 X -> active# X) (top# ok X -> active# X, active# U143 X -> U143# active X) (top# ok X -> active# X, active# U152(X1, X2) -> active# X1) (top# ok X -> active# X, active# U152(X1, X2) -> U152#(active X1, X2)) (top# ok X -> active# X, active# U152(tt(), V2) -> isLNat# V2) (top# ok X -> active# X, active# U152(tt(), V2) -> U153# isLNat V2) (top# ok X -> active# X, active# U151(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (top# ok X -> active# X, active# U151(tt(), V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (top# ok X -> active# X, active# U153 X -> active# X) (top# ok X -> active# X, active# U153 X -> U153# active X) (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 -> isNatural# N) (top# ok X -> active# X, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (top# ok X -> active# X, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (top# ok X -> active# X, active# natsFrom N -> isNaturalKind# 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# 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) -> isLNat# XS) (top# ok X -> active# X, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (top# ok X -> active# X, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (top# ok X -> active# X, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (top# ok X -> active# X, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (top# ok X -> active# X, active# head cons(N, XS) -> isNaturalKind# N) (top# ok X -> active# X, active# head cons(N, XS) -> isLNatKind# XS) (top# ok X -> active# X, active# afterNth(N, XS) -> isNatural# N) (top# ok X -> active# X, active# afterNth(N, XS) -> isLNat# XS) (top# ok X -> active# X, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (top# ok X -> active# X, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (top# ok X -> active# X, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (top# ok X -> active# X, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (top# ok X -> active# X, active# afterNth(N, XS) -> isNaturalKind# N) (top# ok X -> active# X, active# afterNth(N, XS) -> isLNatKind# XS) (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# 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) -> head# afterNth(N, XS)) (top# ok X -> active# X, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (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# 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) -> active# X1) (top# ok X -> active# X, active# U202(X1, X2) -> U202#(active X1, X2)) (top# ok X -> active# X, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (top# ok X -> active# X, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (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) -> splitAt#(N, XS)) (top# ok X -> active# X, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (top# ok X -> active# X, active# U21(X1, X2) -> active# X1) (top# ok X -> active# X, active# U21(X1, X2) -> U21#(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# 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# Y) (top# ok X -> active# X, active# fst pair(X, Y) -> isLNat# X) (top# ok X -> active# X, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (top# ok X -> active# X, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (top# ok X -> active# X, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (top# ok X -> active# X, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (top# ok X -> active# X, active# fst pair(X, Y) -> isLNatKind# Y) (top# ok X -> active# X, active# fst pair(X, Y) -> isLNatKind# X) (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) -> splitAt#(N, XS)) (top# ok X -> active# X, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (top# ok X -> active# X, active# U31(X1, X2) -> active# X1) (top# ok X -> active# X, active# U31(X1, X2) -> U31#(active X1, X2)) (top# ok X -> active# X, active# U42(X1, X2) -> active# X1) (top# ok X -> active# X, active# U42(X1, X2) -> U42#(active X1, X2)) (top# ok X -> active# X, active# U42(tt(), V2) -> isLNat# V2) (top# ok X -> active# X, active# U42(tt(), V2) -> U43# isLNat V2) (top# ok X -> active# X, active# U41(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (top# ok X -> active# X, active# U41(tt(), V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (top# ok X -> active# X, active# U43 X -> active# X) (top# ok X -> active# X, active# U43 X -> U43# active X) (top# ok X -> active# X, active# U52(X1, X2) -> active# X1) (top# ok X -> active# X, active# U52(X1, X2) -> U52#(active X1, X2)) (top# ok X -> active# X, active# U52(tt(), V2) -> isLNat# V2) (top# ok X -> active# X, active# U52(tt(), V2) -> U53# isLNat V2) (top# ok X -> active# X, active# U51(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (top# ok X -> active# X, active# U51(tt(), V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (top# ok X -> active# X, active# U53 X -> active# X) (top# ok X -> active# X, active# U53 X -> U53# active X) (top# ok X -> active# X, active# U62 X -> active# X) (top# ok X -> active# X, active# U62 X -> U62# active X) (top# ok X -> active# X, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (top# ok X -> active# X, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (top# ok X -> active# X, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (top# ok X -> active# X, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (top# ok X -> active# X, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (top# ok X -> active# X, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (top# ok X -> active# X, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (top# ok X -> active# X, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (top# ok X -> active# X, active# U61(X1, X2) -> active# X1) (top# ok X -> active# X, active# U61(X1, X2) -> U61#(active X1, X2)) (top# ok X -> active# X, active# U61(tt(), V1) -> U62# isPLNat V1) (top# ok X -> active# X, active# U61(tt(), V1) -> isPLNat# V1) (top# ok X -> active# X, active# U72 X -> active# X) (top# ok X -> active# X, active# U72 X -> U72# active X) (top# ok X -> active# X, active# U71(X1, X2) -> active# X1) (top# ok X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2)) (top# ok X -> active# X, active# U71(tt(), V1) -> isNatural# V1) (top# ok X -> active# X, active# U71(tt(), V1) -> U72# isNatural V1) (top# ok X -> active# X, active# U82 X -> active# X) (top# ok X -> active# X, active# U82 X -> U82# active X) (top# ok X -> active# X, active# U81(X1, X2) -> active# X1) (top# ok X -> active# X, active# U81(X1, X2) -> U81#(active X1, X2)) (top# ok X -> active# X, active# U81(tt(), V1) -> isPLNat# V1) (top# ok X -> active# X, active# U81(tt(), V1) -> U82# isPLNat V1) (top# ok X -> active# X, active# U92 X -> active# X) (top# ok X -> active# X, active# U92 X -> U92# active X) (top# ok X -> active# X, active# U91(X1, X2) -> active# X1) (top# ok X -> active# X, active# U91(X1, X2) -> U91#(active X1, X2)) (top# ok X -> active# X, active# U91(tt(), V1) -> isLNat# V1) (top# ok X -> active# X, active# U91(tt(), V1) -> U92# isLNat V1) (top# ok X -> active# X, active# and(X1, X2) -> active# X1) (top# ok X -> active# X, active# and(X1, X2) -> and#(active X1, X2)) (top# ok X -> active# X, active# isNaturalKind s V1 -> isNaturalKind# V1) (top# ok X -> active# X, active# isNaturalKind head V1 -> isLNatKind# V1) (top# ok X -> active# X, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (top# ok X -> active# X, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (top# ok X -> active# X, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (top# ok X -> active# X, active# isLNatKind snd V1 -> isPLNatKind# V1) (top# ok X -> active# X, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (top# ok X -> active# X, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (top# ok X -> active# X, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (top# ok X -> active# X, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (top# ok X -> active# X, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (top# ok X -> active# X, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (top# ok X -> active# X, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (top# ok X -> active# X, active# isLNatKind fst V1 -> isPLNatKind# V1) (top# ok X -> active# X, active# isLNatKind tail V1 -> isLNatKind# V1) (top# ok X -> active# X, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (top# ok X -> active# X, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (top# ok X -> active# X, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (top# ok X -> active# X, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (top# ok X -> active# X, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (top# ok X -> active# X, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (top# ok X -> active# X, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (top# ok X -> active# X, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (top# ok X -> active# X, active# isPLNatKind pair(V1, V2) -> isLNatKind# 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) -> isLNat# XS) (top# ok X -> active# X, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (top# ok X -> active# X, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (top# ok X -> active# X, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (top# ok X -> active# X, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (top# ok X -> active# X, active# tail cons(N, XS) -> isNaturalKind# N) (top# ok X -> active# X, active# tail cons(N, XS) -> isLNatKind# XS) (top# ok X -> active# X, active# take(N, XS) -> isNatural# N) (top# ok X -> active# X, active# take(N, XS) -> isLNat# XS) (top# ok X -> active# X, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (top# ok X -> active# X, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (top# ok X -> active# X, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (top# ok X -> active# X, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (top# ok X -> active# X, active# take(N, XS) -> isNaturalKind# N) (top# ok X -> active# X, active# take(N, XS) -> isLNatKind# 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) -> isNatural# N) (top# ok X -> active# X, active# sel(N, XS) -> isLNat# XS) (top# ok X -> active# X, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (top# ok X -> active# X, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (top# ok X -> active# X, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (top# ok X -> active# X, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (top# ok X -> active# X, active# sel(N, XS) -> isNaturalKind# N) (top# ok X -> active# X, active# sel(N, XS) -> isLNatKind# XS) (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(X1, X2) -> U102#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U102(X1, X2) -> proper# X2) (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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U103 X -> U103# proper X) (proper# tail X -> proper# X, proper# U103 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# 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# 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# U112 X -> U112# proper X) (proper# tail X -> proper# X, proper# U112 X -> proper# X) (proper# tail X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U122 X -> U122# proper X) (proper# tail X -> proper# X, proper# U122 X -> proper# X) (proper# tail X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U133 X -> U133# proper X) (proper# tail X -> proper# X, proper# U133 X -> proper# X) (proper# tail X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U143 X -> U143# proper X) (proper# tail X -> proper# X, proper# U143 X -> proper# X) (proper# tail X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U153 X -> U153# proper X) (proper# tail X -> proper# X, proper# U153 X -> proper# X) (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# 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# 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# 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) -> U202#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U202(X1, X2) -> proper# X2) (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# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U21(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# fst X -> fst# proper X) (proper# tail X -> proper# X, proper# fst X -> proper# X) (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# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U43 X -> U43# proper X) (proper# tail X -> proper# X, proper# U43 X -> proper# X) (proper# tail X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U53 X -> U53# proper X) (proper# tail X -> proper# X, proper# U53 X -> proper# X) (proper# tail X -> proper# X, proper# U62 X -> U62# proper X) (proper# tail X -> proper# X, proper# U62 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# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U72 X -> U72# proper X) (proper# tail X -> proper# X, proper# U72 X -> proper# X) (proper# tail X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U82 X -> U82# proper X) (proper# tail X -> proper# X, proper# U82 X -> proper# X) (proper# tail X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U92 X -> U92# proper X) (proper# tail X -> proper# X, proper# U92 X -> proper# X) (proper# tail X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# tail X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# tail X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# tail X -> proper# X, proper# isLNatKind X -> proper# X) (proper# tail X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# tail X -> proper# X, proper# isPLNatKind 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# isLNatKind X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# isLNatKind X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# isLNatKind X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# isLNatKind X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# isLNatKind X -> proper# X, proper# isNatural X -> proper# X) (proper# isLNatKind X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# isLNatKind X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# isLNatKind X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# isLNatKind X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# isLNatKind X -> proper# X, proper# U103 X -> U103# proper X) (proper# isLNatKind X -> proper# X, proper# U103 X -> proper# X) (proper# isLNatKind X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# isLNatKind X -> proper# X, proper# isLNat X -> proper# X) (proper# isLNatKind X -> proper# X, proper# snd X -> snd# proper X) (proper# isLNatKind X -> proper# X, proper# snd X -> proper# X) (proper# isLNatKind X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# isLNatKind X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# isLNatKind X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# isLNatKind X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# isLNatKind X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# isLNatKind X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# isLNatKind X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# isLNatKind X -> proper# X, proper# U112 X -> U112# proper X) (proper# isLNatKind X -> proper# X, proper# U112 X -> proper# X) (proper# isLNatKind X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# isLNatKind X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# isLNatKind X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# isLNatKind X -> proper# X, proper# U122 X -> U122# proper X) (proper# isLNatKind X -> proper# X, proper# U122 X -> proper# X) (proper# isLNatKind X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# isLNatKind X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# isLNatKind X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# isLNatKind X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# isLNatKind X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# isLNatKind X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# isLNatKind X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# isLNatKind X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# isLNatKind X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# isLNatKind X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# isLNatKind X -> proper# X, proper# U133 X -> U133# proper X) (proper# isLNatKind X -> proper# X, proper# U133 X -> proper# X) (proper# isLNatKind X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# isLNatKind X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# isLNatKind X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# isLNatKind X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# isLNatKind X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# isLNatKind X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# isLNatKind X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# isLNatKind X -> proper# X, proper# U143 X -> U143# proper X) (proper# isLNatKind X -> proper# X, proper# U143 X -> proper# X) (proper# isLNatKind X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# isLNatKind X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# isLNatKind X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# isLNatKind X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# isLNatKind X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# isLNatKind X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# isLNatKind X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# isLNatKind X -> proper# X, proper# U153 X -> U153# proper X) (proper# isLNatKind X -> proper# X, proper# U153 X -> proper# X) (proper# isLNatKind X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# isLNatKind X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# isLNatKind X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# isLNatKind X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# isLNatKind X -> proper# X, proper# natsFrom X -> proper# X) (proper# 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proper# X2) (proper# U92 X -> proper# X, proper# fst X -> fst# proper X) (proper# U92 X -> proper# X, proper# fst X -> proper# X) (proper# U92 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U92 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U92 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U92 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U92 X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U92 X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# U92 X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# U92 X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U92 X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# U92 X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# U92 X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U92 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# U92 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# U92 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# U92 X -> proper# X, proper# U43 X -> U43# proper X) (proper# U92 X -> proper# X, proper# U43 X -> proper# X) (proper# U92 X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U92 X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# U92 X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# U92 X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U92 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# U92 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# U92 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# U92 X -> proper# X, proper# U53 X -> U53# proper X) (proper# U92 X -> proper# X, proper# U53 X -> proper# X) (proper# U92 X -> proper# X, proper# U62 X -> U62# proper X) (proper# U92 X -> proper# X, proper# U62 X -> proper# X) (proper# U92 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U92 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U92 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U92 X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# U92 X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# U92 X -> proper# X, proper# U72 X -> U72# proper X) (proper# U92 X -> proper# X, proper# U72 X -> proper# X) (proper# U92 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U92 X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# U92 X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# U92 X -> proper# X, proper# U82 X -> U82# proper X) (proper# U92 X -> proper# X, proper# U82 X -> proper# X) (proper# U92 X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U92 X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# U92 X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# U92 X -> proper# X, proper# U92 X -> U92# proper X) (proper# U92 X -> proper# X, proper# U92 X -> proper# X) (proper# U92 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U92 X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# U92 X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# U92 X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U92 X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# U92 X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# U92 X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U92 X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# U92 X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# U92 X -> proper# X, proper# isLNatKind X -> proper# X) (proper# U92 X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U92 X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# U92 X -> proper# X, proper# tail X -> tail# proper X) (proper# U92 X -> proper# X, proper# tail X -> proper# X) (proper# U92 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U92 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U92 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U92 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U92 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U92 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U72 X -> proper# X, proper# isNatural X -> proper# X) (proper# U72 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U72 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# U72 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# U72 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# U72 X -> proper# X, proper# U103 X -> U103# proper X) (proper# U72 X -> proper# X, proper# U103 X -> proper# X) (proper# U72 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U72 X -> proper# X, proper# isLNat X -> proper# X) (proper# U72 X -> proper# X, proper# snd X -> snd# proper X) (proper# U72 X -> proper# X, proper# snd X -> proper# X) (proper# U72 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U72 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U72 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U72 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U72 X -> proper# X, proper# U112 X -> U112# proper X) (proper# U72 X -> proper# X, proper# U112 X -> proper# X) (proper# U72 X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U122 X -> U122# proper X) (proper# U72 X -> proper# X, proper# U122 X -> proper# X) (proper# U72 X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U72 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# U72 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# U72 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# U72 X -> proper# X, proper# U133 X -> U133# proper X) (proper# U72 X -> proper# X, proper# U133 X -> proper# X) (proper# U72 X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U72 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# U72 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# U72 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# U72 X -> proper# X, proper# U143 X -> U143# proper X) (proper# U72 X -> proper# X, proper# U143 X -> proper# X) (proper# U72 X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U72 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# U72 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# U72 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# U72 X -> proper# X, proper# U153 X -> U153# proper X) (proper# U72 X -> proper# X, proper# U153 X -> proper# X) (proper# U72 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U72 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U72 X -> proper# X, proper# s X -> s# proper X) (proper# U72 X -> proper# X, proper# s X -> proper# X) (proper# U72 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# head X -> head# proper X) (proper# U72 X -> proper# X, proper# head X -> proper# X) (proper# U72 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U72 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U72 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U72 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U72 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U202(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U72 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U72 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U72 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U72 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U72 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# fst X -> fst# proper X) (proper# U72 X -> proper# X, proper# fst X -> proper# X) (proper# U72 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U72 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U72 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U72 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U72 X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U72 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# U72 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# U72 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# U72 X -> proper# X, proper# U43 X -> U43# proper X) (proper# U72 X -> proper# X, proper# U43 X -> proper# X) (proper# U72 X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U72 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# U72 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# U72 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# U72 X -> proper# X, proper# U53 X -> U53# proper X) (proper# U72 X -> proper# X, proper# U53 X -> proper# X) (proper# U72 X -> proper# X, proper# U62 X -> U62# proper X) (proper# U72 X -> proper# X, proper# U62 X -> proper# X) (proper# U72 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U72 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U72 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U72 X -> U72# proper X) (proper# U72 X -> proper# X, proper# U72 X -> proper# X) (proper# U72 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U82 X -> U82# proper X) (proper# U72 X -> proper# X, proper# U82 X -> proper# X) (proper# U72 X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# U92 X -> U92# proper X) (proper# U72 X -> proper# X, proper# U92 X -> proper# X) (proper# U72 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U72 X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# U72 X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# U72 X -> proper# X, proper# isLNatKind X -> proper# X) (proper# U72 X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U72 X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# U72 X -> proper# X, proper# tail X -> tail# proper X) (proper# U72 X -> proper# X, proper# tail X -> proper# X) (proper# U72 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U72 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U72 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U72 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U62 X -> proper# X, proper# isNatural X -> proper# X) (proper# U62 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U62 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# U62 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# U62 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# U62 X -> proper# X, proper# U103 X -> U103# proper X) (proper# U62 X -> proper# X, proper# U103 X -> proper# X) (proper# U62 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U62 X -> proper# X, proper# isLNat X -> proper# X) (proper# U62 X -> proper# X, proper# snd X -> snd# proper X) (proper# U62 X -> proper# X, proper# snd X -> proper# X) (proper# U62 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U62 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U62 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U62 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U62 X -> proper# X, proper# U112 X -> U112# proper X) (proper# U62 X -> proper# X, proper# U112 X -> proper# X) (proper# U62 X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U122 X -> U122# proper X) (proper# U62 X -> proper# X, proper# U122 X -> proper# X) (proper# U62 X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U62 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# U62 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# U62 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# U62 X -> proper# X, proper# U133 X -> U133# proper X) (proper# U62 X -> proper# X, proper# U133 X -> proper# X) (proper# U62 X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U62 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# U62 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# U62 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# U62 X -> proper# X, proper# U143 X -> U143# proper X) (proper# U62 X -> proper# X, proper# U143 X -> proper# X) (proper# U62 X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U62 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# U62 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# U62 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# U62 X -> proper# X, proper# U153 X -> U153# proper X) (proper# U62 X -> proper# X, proper# U153 X -> proper# X) (proper# U62 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U62 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U62 X -> proper# X, proper# s X -> s# proper X) (proper# U62 X -> proper# X, proper# s X -> proper# X) (proper# U62 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# head X -> head# proper X) (proper# U62 X -> proper# X, proper# head X -> proper# X) (proper# U62 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U62 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U62 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U62 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U62 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U202(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U62 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U62 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U62 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U62 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U62 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# fst X -> fst# proper X) (proper# U62 X -> proper# X, proper# fst X -> proper# X) (proper# U62 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U62 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U62 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U62 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U62 X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U62 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# U62 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# U62 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# U62 X -> proper# X, proper# U43 X -> U43# proper X) (proper# U62 X -> proper# X, proper# U43 X -> proper# X) (proper# U62 X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U62 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# U62 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# U62 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# U62 X -> proper# X, proper# U53 X -> U53# proper X) (proper# U62 X -> proper# X, proper# U53 X -> proper# X) (proper# U62 X -> proper# X, proper# U62 X -> U62# proper X) (proper# U62 X -> proper# X, proper# U62 X -> proper# X) (proper# U62 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U62 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U62 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U72 X -> U72# proper X) (proper# U62 X -> proper# X, proper# U72 X -> proper# X) (proper# U62 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U82 X -> U82# proper X) (proper# U62 X -> proper# X, proper# U82 X -> proper# X) (proper# U62 X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# U92 X -> U92# proper X) (proper# U62 X -> proper# X, proper# U92 X -> proper# X) (proper# U62 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U62 X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# U62 X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# U62 X -> proper# X, proper# isLNatKind X -> proper# X) (proper# U62 X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U62 X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# U62 X -> proper# X, proper# tail X -> tail# proper X) (proper# U62 X -> proper# X, proper# tail X -> proper# X) (proper# U62 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U62 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U62 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U62 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U43 X -> proper# X, proper# isNatural X -> proper# X) (proper# U43 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U43 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# U43 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# U43 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# U43 X -> proper# X, proper# U103 X -> U103# proper X) (proper# U43 X -> proper# X, proper# U103 X -> proper# X) (proper# U43 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U43 X -> proper# X, proper# isLNat X -> proper# X) (proper# U43 X -> proper# X, proper# snd X -> snd# proper X) (proper# U43 X -> proper# X, proper# snd X -> proper# X) (proper# U43 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U43 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U43 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U43 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U43 X -> proper# X, proper# U112 X -> U112# proper X) (proper# U43 X -> proper# X, proper# U112 X -> proper# X) (proper# U43 X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U122 X -> U122# proper X) (proper# U43 X -> proper# X, proper# U122 X -> proper# X) (proper# U43 X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U43 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# U43 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# U43 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# U43 X -> proper# X, proper# U133 X -> U133# proper X) (proper# U43 X -> proper# X, proper# U133 X -> proper# X) (proper# U43 X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U43 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# U43 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# U43 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# U43 X -> proper# X, proper# U143 X -> U143# proper X) (proper# U43 X -> proper# X, proper# U143 X -> proper# X) (proper# U43 X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U43 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# U43 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# U43 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# U43 X -> proper# X, proper# U153 X -> U153# proper X) (proper# U43 X -> proper# X, proper# U153 X -> proper# X) (proper# U43 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U43 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U43 X -> proper# X, proper# s X -> s# proper X) (proper# U43 X -> proper# X, proper# s X -> proper# X) (proper# U43 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# head X -> head# proper X) (proper# U43 X -> proper# X, proper# head X -> proper# X) (proper# U43 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U43 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U43 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U43 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U43 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U202(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U43 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U43 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U43 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U43 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U43 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# fst X -> fst# proper X) (proper# U43 X -> proper# X, proper# fst X -> proper# X) (proper# U43 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U43 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U43 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U43 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U43 X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U43 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# U43 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# U43 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# U43 X -> proper# X, proper# U43 X -> U43# proper X) (proper# U43 X -> proper# X, proper# U43 X -> proper# X) (proper# U43 X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U43 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# U43 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# U43 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# U43 X -> proper# X, proper# U53 X -> U53# proper X) (proper# U43 X -> proper# X, proper# U53 X -> proper# X) (proper# U43 X -> proper# X, proper# U62 X -> U62# proper X) (proper# U43 X -> proper# X, proper# U62 X -> proper# X) (proper# U43 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U43 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U43 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U72 X -> U72# proper X) (proper# U43 X -> proper# X, proper# U72 X -> proper# X) (proper# U43 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U82 X -> U82# proper X) (proper# U43 X -> proper# X, proper# U82 X -> proper# X) (proper# U43 X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# U92 X -> U92# proper X) (proper# U43 X -> proper# X, proper# U92 X -> proper# X) (proper# U43 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U43 X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# U43 X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# U43 X -> proper# X, proper# isLNatKind X -> proper# X) (proper# U43 X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U43 X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# U43 X -> proper# X, proper# tail X -> tail# proper X) (proper# U43 X -> proper# X, proper# tail X -> proper# X) (proper# U43 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U43 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U43 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U43 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U102(X1, X2) -> proper# X2) (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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U103 X -> U103# proper X) (proper# head X -> proper# X, proper# U103 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# 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# 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# U112 X -> U112# proper X) (proper# head X -> proper# X, proper# U112 X -> proper# X) (proper# head X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U122 X -> U122# proper X) (proper# head X -> proper# X, proper# U122 X -> proper# X) (proper# head X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U133 X -> U133# proper X) (proper# head X -> proper# X, proper# U133 X -> proper# X) (proper# head X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U143 X -> U143# proper X) (proper# head X -> proper# X, proper# U143 X -> proper# X) (proper# head X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U153 X -> U153# proper X) (proper# head X -> proper# X, proper# U153 X -> proper# X) (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# 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# 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# 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) -> U202#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U202(X1, X2) -> proper# X2) (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# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U21(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# fst X -> fst# proper X) (proper# head X -> proper# X, proper# fst X -> proper# X) (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# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U43 X -> U43# proper X) (proper# head X -> proper# X, proper# U43 X -> proper# X) (proper# head X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U53 X -> U53# proper X) (proper# head X -> proper# X, proper# U53 X -> proper# X) (proper# head X -> proper# X, proper# U62 X -> U62# proper X) (proper# head X -> proper# X, proper# U62 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# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U72 X -> U72# proper X) (proper# head X -> proper# X, proper# U72 X -> proper# X) (proper# head X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U82 X -> U82# proper X) (proper# head X -> proper# X, proper# U82 X -> proper# X) (proper# head X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U92 X -> U92# proper X) (proper# head X -> proper# X, proper# U92 X -> proper# X) (proper# head X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# head X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# head X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# head X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# head X -> proper# X, proper# isLNatKind X -> proper# X) (proper# head X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# head X -> proper# X, proper# isPLNatKind 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(X1, X2) -> U102#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U102(X1, X2) -> proper# X2) (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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U103 X -> U103# proper X) (proper# natsFrom X -> proper# X, proper# U103 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# 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# 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# U112 X -> U112# proper X) (proper# natsFrom X -> proper# X, proper# U112 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U122 X -> U122# proper X) (proper# natsFrom X -> proper# X, proper# U122 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U133 X -> U133# proper X) (proper# natsFrom X -> proper# X, proper# U133 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U143 X -> U143# proper X) (proper# natsFrom X -> proper# X, proper# U143 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U153 X -> U153# proper X) (proper# natsFrom X -> proper# X, proper# U153 X -> proper# X) (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# 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# 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# 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) -> U202#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U202(X1, X2) -> proper# X2) (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# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U21(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# fst X -> fst# proper X) (proper# natsFrom X -> proper# X, proper# fst X -> proper# X) (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# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U43 X -> U43# proper X) (proper# natsFrom X -> proper# X, proper# U43 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U53 X -> U53# proper X) (proper# natsFrom X -> proper# X, proper# U53 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U62 X -> U62# proper X) (proper# natsFrom X -> proper# X, proper# U62 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# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U72 X -> U72# proper X) (proper# natsFrom X -> proper# X, proper# U72 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U82 X -> U82# proper X) (proper# natsFrom X -> proper# X, proper# U82 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U92 X -> U92# proper X) (proper# natsFrom X -> proper# X, proper# U92 X -> proper# X) (proper# natsFrom X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# natsFrom X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# natsFrom X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# natsFrom X -> proper# X, proper# isLNatKind X -> proper# X) (proper# natsFrom X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# natsFrom X -> proper# X, proper# isPLNatKind 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# U143 X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U143 X -> proper# X, proper# isNatural X -> proper# X) (proper# U143 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U143 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# U143 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# U143 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# U143 X -> proper# X, proper# U103 X -> U103# proper X) (proper# U143 X -> proper# X, proper# U103 X -> proper# X) (proper# U143 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U143 X -> proper# X, proper# isLNat X -> proper# X) (proper# U143 X -> proper# X, proper# snd X -> snd# proper X) (proper# U143 X -> proper# X, proper# snd X -> proper# X) (proper# U143 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U143 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U143 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U143 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U143 X -> proper# X, proper# U112 X -> U112# proper X) (proper# U143 X -> proper# X, proper# U112 X -> proper# X) (proper# U143 X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U122 X -> U122# proper X) (proper# U143 X -> proper# X, proper# U122 X -> proper# X) (proper# U143 X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U143 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# U143 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# U143 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# U143 X -> proper# X, proper# U133 X -> U133# proper X) (proper# U143 X -> proper# X, proper# U133 X -> proper# X) (proper# U143 X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U143 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# U143 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# U143 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# U143 X -> proper# X, proper# U143 X -> U143# proper X) (proper# U143 X -> proper# X, proper# U143 X -> proper# X) (proper# U143 X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U143 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# U143 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# U143 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# U143 X -> proper# X, proper# U153 X -> U153# proper X) (proper# U143 X -> proper# X, proper# U153 X -> proper# X) (proper# U143 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U143 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U143 X -> proper# X, proper# s X -> s# proper X) (proper# U143 X -> proper# X, proper# s X -> proper# X) (proper# U143 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# head X -> head# proper X) (proper# U143 X -> proper# X, proper# head X -> proper# X) (proper# U143 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U143 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U143 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U143 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U143 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U202(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U143 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U143 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U143 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U143 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U143 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# fst X -> fst# proper X) (proper# U143 X -> proper# X, proper# fst X -> proper# X) (proper# U143 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U143 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U143 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U143 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U143 X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U143 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# U143 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# U143 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# U143 X -> proper# X, proper# U43 X -> U43# proper X) (proper# U143 X -> proper# X, proper# U43 X -> proper# X) (proper# U143 X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U143 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# U143 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# U143 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# U143 X -> proper# X, proper# U53 X -> U53# proper X) (proper# U143 X -> proper# X, proper# U53 X -> proper# X) (proper# U143 X -> proper# X, proper# U62 X -> U62# proper X) (proper# U143 X -> proper# X, proper# U62 X -> proper# X) (proper# U143 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U143 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U143 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U72 X -> U72# proper X) (proper# U143 X -> proper# X, proper# U72 X -> proper# X) (proper# U143 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U82 X -> U82# proper X) (proper# U143 X -> proper# X, proper# U82 X -> proper# X) (proper# U143 X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# U92 X -> U92# proper X) (proper# U143 X -> proper# X, proper# U92 X -> proper# X) (proper# U143 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U143 X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# U143 X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# U143 X -> proper# X, proper# isLNatKind X -> proper# X) (proper# U143 X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U143 X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# U143 X -> proper# X, proper# tail X -> tail# proper X) (proper# U143 X -> proper# X, proper# tail X -> proper# X) (proper# U143 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U143 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U143 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U143 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U122 X -> proper# X, proper# isNatural X -> proper# X) (proper# U122 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U122 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# U122 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# U122 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# U122 X -> proper# X, proper# U103 X -> U103# proper X) (proper# U122 X -> proper# X, proper# U103 X -> proper# X) (proper# U122 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U122 X -> proper# X, proper# isLNat X -> proper# X) (proper# U122 X -> proper# X, proper# snd X -> snd# proper X) (proper# U122 X -> proper# X, proper# snd X -> proper# X) (proper# U122 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U122 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U122 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U122 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U122 X -> proper# X, proper# U112 X -> U112# proper X) (proper# U122 X -> proper# X, proper# U112 X -> proper# X) (proper# U122 X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U122 X -> U122# proper X) (proper# U122 X -> proper# X, proper# U122 X -> proper# X) (proper# U122 X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U122 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# U122 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# U122 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# U122 X -> proper# X, proper# U133 X -> U133# proper X) (proper# U122 X -> proper# X, proper# U133 X -> proper# X) (proper# U122 X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U122 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# U122 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# U122 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# U122 X -> proper# X, proper# U143 X -> U143# proper X) (proper# U122 X -> proper# X, proper# U143 X -> proper# X) (proper# U122 X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U122 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# U122 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# U122 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# U122 X -> proper# X, proper# U153 X -> U153# proper X) (proper# U122 X -> proper# X, proper# U153 X -> proper# X) (proper# U122 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U122 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U122 X -> proper# X, proper# s X -> s# proper X) (proper# U122 X -> proper# X, proper# s X -> proper# X) (proper# U122 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# head X -> head# proper X) (proper# U122 X -> proper# X, proper# head X -> proper# X) (proper# U122 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U122 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U122 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U122 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U122 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U202(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U122 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U122 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U122 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U122 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U122 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# fst X -> fst# proper X) (proper# U122 X -> proper# X, proper# fst X -> proper# X) (proper# U122 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U122 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U122 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U122 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U122 X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U122 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# U122 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# U122 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# U122 X -> proper# X, proper# U43 X -> U43# proper X) (proper# U122 X -> proper# X, proper# U43 X -> proper# X) (proper# U122 X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U122 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# U122 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# U122 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# U122 X -> proper# X, proper# U53 X -> U53# proper X) (proper# U122 X -> proper# X, proper# U53 X -> proper# X) (proper# U122 X -> proper# X, proper# U62 X -> U62# proper X) (proper# U122 X -> proper# X, proper# U62 X -> proper# X) (proper# U122 X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# U122 X -> proper# X, proper# isPLNat X -> proper# X) (proper# U122 X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U72 X -> U72# proper X) (proper# U122 X -> proper# X, proper# U72 X -> proper# X) (proper# U122 X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U82 X -> U82# proper X) (proper# U122 X -> proper# X, proper# U82 X -> proper# X) (proper# U122 X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# U92 X -> U92# proper X) (proper# U122 X -> proper# X, proper# U92 X -> proper# X) (proper# U122 X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U122 X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# U122 X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# U122 X -> proper# X, proper# isLNatKind X -> proper# X) (proper# U122 X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U122 X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# U122 X -> proper# X, proper# tail X -> tail# proper X) (proper# U122 X -> proper# X, proper# tail X -> proper# X) (proper# U122 X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# U122 X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U122 X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# U122 X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# snd X -> proper# X, proper# isNatural X -> proper# X) (proper# snd X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U103 X -> U103# proper X) (proper# snd X -> proper# X, proper# U103 X -> proper# X) (proper# snd X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# snd X -> proper# X, proper# isLNat X -> proper# X) (proper# snd X -> proper# X, proper# snd X -> snd# proper X) (proper# snd X -> proper# X, proper# snd X -> proper# X) (proper# snd X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U112 X -> U112# proper X) (proper# snd X -> proper# X, proper# U112 X -> proper# X) (proper# snd X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U122 X -> U122# proper X) (proper# snd X -> proper# X, proper# U122 X -> proper# X) (proper# snd X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U133 X -> U133# proper X) (proper# snd X -> proper# X, proper# U133 X -> proper# X) (proper# snd X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U143 X -> U143# proper X) (proper# snd X -> proper# X, proper# U143 X -> proper# X) (proper# snd X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U153 X -> U153# proper X) (proper# snd X -> proper# X, proper# U153 X -> proper# X) (proper# snd X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# snd X -> proper# X, proper# natsFrom X -> proper# X) (proper# snd X -> proper# X, proper# s X -> s# proper X) (proper# snd X -> proper# X, proper# s X -> proper# X) (proper# snd X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# head X -> head# proper X) (proper# snd X -> proper# X, proper# head X -> proper# X) (proper# snd X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U202(X1, X2) -> proper# X2) (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# U201(X1, X2, X3, X4) -> proper# X1) (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# X3) (proper# snd X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# snd X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# fst X -> fst# proper X) (proper# snd X -> proper# X, proper# fst X -> proper# X) (proper# snd X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U43 X -> U43# proper X) (proper# snd X -> proper# X, proper# U43 X -> proper# X) (proper# snd X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U53 X -> U53# proper X) (proper# snd X -> proper# X, proper# U53 X -> proper# X) (proper# snd X -> proper# X, proper# U62 X -> U62# proper X) (proper# snd X -> proper# X, proper# U62 X -> proper# X) (proper# snd X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# snd X -> proper# X, proper# isPLNat X -> proper# X) (proper# snd X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U72 X -> U72# proper X) (proper# snd X -> proper# X, proper# U72 X -> proper# X) (proper# snd X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U82 X -> U82# proper X) (proper# snd X -> proper# X, proper# U82 X -> proper# X) (proper# snd X -> proper# X, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U81(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U81(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U92 X -> U92# proper X) (proper# snd X -> proper# X, proper# U92 X -> proper# X) (proper# snd X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# snd X -> proper# X, proper# isNaturalKind X -> proper# X) (proper# snd X -> proper# X, proper# isLNatKind X -> isLNatKind# proper X) (proper# snd X -> proper# X, proper# isLNatKind X -> proper# X) (proper# snd X -> proper# X, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# snd X -> proper# X, proper# isPLNatKind X -> proper# X) (proper# snd X -> proper# X, proper# tail X -> tail# proper X) (proper# snd X -> proper# X, proper# tail X -> proper# X) (proper# snd X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U102(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U102(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# U103 X -> proper# X, proper# isNatural X -> proper# X) (proper# U103 X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U103 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# U103 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# U103 X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# U103 X -> proper# X, proper# U103 X -> U103# proper X) (proper# U103 X -> proper# X, proper# U103 X -> proper# X) (proper# U103 X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# U103 X -> proper# X, proper# isLNat X -> proper# X) (proper# U103 X -> proper# X, proper# snd X -> snd# proper X) (proper# U103 X -> proper# X, proper# snd X -> proper# X) (proper# U103 X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U103 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# U103 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# U103 X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# U103 X -> proper# X, proper# U112 X -> U112# proper X) (proper# U103 X -> proper# X, proper# U112 X -> proper# X) (proper# U103 X -> proper# X, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U111(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U111(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U122 X -> U122# proper X) (proper# U103 X -> proper# X, proper# U122 X -> proper# X) (proper# U103 X -> proper# X, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U121(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U121(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U132(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U132(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U103 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X1) (proper# U103 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X2) (proper# U103 X -> proper# X, proper# U131(X1, X2, X3) -> proper# X3) (proper# U103 X -> proper# X, proper# U133 X -> U133# proper X) (proper# U103 X -> proper# X, proper# U133 X -> proper# X) (proper# U103 X -> proper# X, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U142(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U142(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U103 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X1) (proper# U103 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X2) (proper# U103 X -> proper# X, proper# U141(X1, X2, X3) -> proper# X3) (proper# U103 X -> proper# X, proper# U143 X -> U143# proper X) (proper# U103 X -> proper# X, proper# U143 X -> proper# X) (proper# U103 X -> proper# X, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U152(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U152(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U103 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X1) (proper# U103 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X2) (proper# U103 X -> proper# X, proper# U151(X1, X2, X3) -> proper# X3) (proper# U103 X -> proper# X, proper# U153 X -> U153# proper X) (proper# U103 X -> proper# X, proper# U153 X -> proper# X) (proper# U103 X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# U103 X -> proper# X, proper# natsFrom X -> proper# X) (proper# U103 X -> proper# X, proper# s X -> s# proper X) (proper# U103 X -> proper# X, proper# s X -> proper# X) (proper# U103 X -> proper# X, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U161(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U161(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# head X -> head# proper X) (proper# U103 X -> proper# X, proper# head X -> proper# X) (proper# U103 X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U103 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X1) (proper# U103 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X2) (proper# U103 X -> proper# X, proper# U171(X1, X2, X3) -> proper# X3) (proper# U103 X -> proper# X, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U181(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U181(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U191(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U191(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U202(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U202(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U103 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U103 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U103 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U103 X -> proper# X, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U103 X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U211(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U211(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# fst X -> fst# proper X) (proper# U103 X -> proper# X, proper# fst X -> proper# X) (proper# U103 X -> proper# X, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U103 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1) (proper# U103 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X2) (proper# U103 X -> proper# X, proper# U221(X1, X2, X3) -> proper# X3) (proper# U103 X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U42(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U42(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U103 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# U103 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# U103 X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# U103 X -> proper# X, proper# U43 X -> U43# proper X) (proper# U103 X -> proper# X, proper# U43 X -> proper# X) (proper# U103 X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U103 X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# U103 X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# U103 X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U103 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# U103 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# U103 X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# U103 X -> proper# X, proper# U53 X -> U53# proper X) (proper# U103 X -> proper# X, proper# U53 X -> proper# X) (proper# U103 X -> proper# X, proper# 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X4)) (active# U92 X -> active# X, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U92 X -> active# X, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U92 X -> active# X, active# U21(X1, X2) -> active# X1) (active# U92 X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U92 X -> active# X, active# U211(X1, X2) -> active# X1) (active# U92 X -> active# X, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U92 X -> active# X, active# fst X -> active# X) (active# U92 X -> active# X, active# fst X -> fst# active X) (active# U92 X -> active# X, active# fst pair(X, Y) -> isLNat# Y) (active# U92 X -> active# X, active# fst pair(X, Y) -> isLNat# X) (active# U92 X -> active# X, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U92 X -> active# X, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U92 X -> active# X, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) 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X, active# U53 X -> active# X) (active# U92 X -> active# X, active# U53 X -> U53# active X) (active# U92 X -> active# X, active# U62 X -> active# X) (active# U92 X -> active# X, active# U62 X -> U62# active X) (active# U92 X -> active# X, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U92 X -> active# X, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U92 X -> active# X, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U92 X -> active# X, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U92 X -> active# X, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U92 X -> active# X, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U92 X -> active# X, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U92 X -> active# X, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U92 X -> active# X, active# U61(X1, X2) -> active# X1) (active# U92 X -> active# X, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U92 X -> active# X, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U92 X -> active# X, active# U61(tt(), V1) -> isPLNat# V1) (active# U92 X -> active# X, active# U72 X -> active# X) (active# U92 X -> active# X, active# U72 X -> U72# active X) (active# U92 X -> active# X, active# U71(X1, X2) -> active# X1) (active# U92 X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U92 X -> active# X, active# U71(tt(), V1) -> isNatural# V1) (active# U92 X -> active# X, active# U71(tt(), V1) -> U72# isNatural V1) (active# U92 X -> active# X, active# U82 X -> active# X) (active# U92 X -> active# X, active# U82 X -> U82# active X) (active# U92 X -> active# X, active# U81(X1, X2) -> active# X1) (active# U92 X -> active# X, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U92 X -> active# X, active# U81(tt(), V1) -> isPLNat# V1) (active# U92 X -> active# X, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U92 X -> active# X, active# U92 X -> active# X) (active# U92 X -> active# X, active# U92 X -> U92# active X) (active# U92 X -> active# X, active# U91(X1, X2) -> active# X1) (active# U92 X -> active# X, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U92 X -> active# X, active# U91(tt(), V1) -> isLNat# V1) (active# U92 X -> active# X, active# U91(tt(), V1) -> U92# isLNat V1) (active# U92 X -> active# X, active# and(X1, X2) -> active# X1) (active# U92 X -> active# X, active# and(X1, X2) -> and#(active X1, X2)) (active# U92 X -> active# X, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U92 X -> active# X, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U92 X -> active# X, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U92 X -> active# X, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U92 X -> active# X, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U92 X -> active# X, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U92 X -> active# X, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U92 X -> active# X, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U92 X -> active# X, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# U92 X -> active# X, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# U92 X -> active# X, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U92 X -> active# X, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# U92 X -> active# X, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# U92 X -> active# X, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# U92 X -> active# X, active# isLNatKind tail V1 -> isLNatKind# V1) (active# U92 X -> active# X, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U92 X -> active# X, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# U92 X -> active# X, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# U92 X -> active# X, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U92 X -> active# X, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U92 X -> active# X, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U92 X -> active# X, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U92 X -> active# X, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U92 X -> active# X, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# U92 X -> active# X, active# tail X -> active# X) (active# U92 X -> active# X, active# tail X -> tail# active X) (active# U92 X -> active# X, active# tail cons(N, XS) -> isNatural# N) (active# U92 X -> active# X, active# tail cons(N, XS) -> isLNat# XS) (active# U92 X -> active# X, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind 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and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U92 X -> active# X, active# take(N, XS) -> isNaturalKind# N) (active# U92 X -> active# X, active# take(N, XS) -> isLNatKind# XS) (active# U92 X -> active# X, active# take(X1, X2) -> active# X1) (active# U92 X -> active# X, active# take(X1, X2) -> active# X2) (active# U92 X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (active# U92 X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (active# U92 X -> active# X, active# sel(N, XS) -> isNatural# N) (active# U92 X -> active# X, active# sel(N, XS) -> isLNat# XS) (active# U92 X -> active# X, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U92 X -> active# X, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U92 X -> active# X, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U92 X -> active# X, active# sel(N, XS) -> and#(and(isNatural N, 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active# X, active# isNatural head V1 -> isLNatKind# V1) (active# U72 X -> active# X, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U72 X -> active# X, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U72 X -> active# X, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# U72 X -> active# X, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# U72 X -> active# X, active# U101(X1, X2, X3) -> active# X1) (active# U72 X -> active# X, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# U72 X -> active# X, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (active# U72 X -> active# X, active# U101(tt(), V1, V2) -> isNatural# V1) (active# U72 X -> active# X, active# U103 X -> active# X) (active# U72 X -> active# X, active# U103 X -> U103# active X) (active# U72 X -> active# X, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# U72 X -> active# X, active# isLNat snd V1 -> 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U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U103 X -> active# X, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U103 X -> active# X, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U103 X -> active# X, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U103 X -> active# X, active# take(N, XS) -> isNaturalKind# N) (active# U103 X -> active# X, active# take(N, XS) -> isLNatKind# XS) (active# U103 X -> active# X, active# take(X1, X2) -> active# X1) (active# U103 X -> active# X, active# take(X1, X2) -> active# X2) (active# U103 X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (active# U103 X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (active# U103 X -> active# X, active# sel(N, XS) -> isNatural# N) (active# U103 X -> active# X, active# sel(N, XS) -> isLNat# XS) (active# U103 X -> active# X, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U103 X -> active# X, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U103 X -> active# X, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U103 X -> active# X, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U103 X -> active# X, active# sel(N, XS) -> isNaturalKind# N) (active# U103 X -> active# X, active# sel(N, XS) -> isLNatKind# XS) (active# U103 X -> active# X, active# sel(X1, X2) -> active# X1) (active# U103 X -> active# X, active# sel(X1, X2) -> active# X2) (active# U103 X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U103 X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U221(tt(), N, XS) -> fst# splitAt(N, XS), fst# mark X -> fst# X) (active# U221(tt(), N, XS) -> fst# splitAt(N, XS), fst# ok X -> fst# X) (active# U11(tt(), N, XS) -> snd# splitAt(N, XS), snd# mark X -> snd# X) (active# U11(tt(), N, XS) -> snd# splitAt(N, XS), snd# ok X -> snd# X) (proper# sel(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# sel(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# sel(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# sel(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# sel(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# sel(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# sel(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (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# X3) (proper# sel(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (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# U201(X1, X2, X3, X4) -> proper# X1) (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# X3) (proper# sel(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# sel(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (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# X3) (proper# sel(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# sel(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# sel(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# sel(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# sel(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# sel(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# and(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# and(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# and(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# and(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# and(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# and(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# and(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# and(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# and(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# and(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# and(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# and(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# and(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# and(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# and(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# and(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# and(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# and(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# and(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# and(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# and(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# and(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# and(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# and(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# and(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# and(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U81(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U81(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U81(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U81(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U81(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U81(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U81(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U81(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U81(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U81(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U81(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U81(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U81(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U81(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U81(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U81(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U81(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U81(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U81(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U81(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U81(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U81(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U81(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U81(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U81(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U81(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U81(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U81(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U61(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U61(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U61(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U61(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U61(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U61(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U61(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U61(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U61(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U61(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U61(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U61(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U52(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U52(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U52(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U52(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U52(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U52(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U52(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U52(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U52(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U52(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U52(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U52(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U52(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U52(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U52(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U52(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U52(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U52(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U52(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U52(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U52(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U52(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U52(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U52(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U52(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U52(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U42(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U42(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U42(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U42(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U42(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U42(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U42(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U42(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U42(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U42(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U42(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U42(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U42(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U42(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U42(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U42(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U42(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U42(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U42(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U42(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U42(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U42(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U42(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U42(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U42(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U42(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U42(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U42(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U42(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U42(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U42(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U103 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, 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) -> proper# X2) (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# U11(X1, X2, X3) -> proper# X1) (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# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U112 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U122 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U133 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U143 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U153 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, 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) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, 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) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, 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) -> proper# X2) (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# U171(X1, X2, X3) -> proper# X1) (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# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, 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) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, 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) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, 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) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (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# U201(X1, X2, X3, X4) -> proper# X1) (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# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U221(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, 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) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (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# U221(X1, X2, X3) -> proper# X1) (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# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U43 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U221(X1, X2, X3) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U53 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U72 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U82 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U221(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U221(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U221(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U221(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, 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) -> proper# X2) (proper# U221(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, 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) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U21(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U21(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U21(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U21(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U21(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U21(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U21(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U21(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U21(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U21(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U21(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U21(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U202(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U202(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U202(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U202(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U202(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U202(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U202(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U202(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U202(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U202(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U202(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U202(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U202(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U202(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U202(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U202(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U202(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U202(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U202(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U202(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U202(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U202(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U202(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U202(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U202(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U202(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U202(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U202(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U202(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U202(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U202(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U202(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U202(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# pair(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U103 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# 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# 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# U112 X -> U112# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (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# 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# 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# 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) -> U202#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (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# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# 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# fst X -> fst# proper X) (proper# pair(X1, X2) -> proper# X1, proper# fst X -> proper# X) (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# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U62 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# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# pair(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# pair(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# pair(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# pair(X1, X2) -> proper# X1, proper# isPLNatKind 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# U171(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U103 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# 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# 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# U112 X -> U112# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U112 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U122 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U133 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U143 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U153 X -> proper# X) (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# 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# 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# 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) -> U202#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (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# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U21(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# 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# 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# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U43 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U171(X1, X2, X3) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U53 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U62 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# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U72 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U82 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U171(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U171(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U171(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U171(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U171(X1, X2, X3) -> proper# X1, proper# isPLNatKind 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(X1, X2) -> U102#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U103 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# 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# 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# U112 X -> U112# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (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# 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# 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# 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) -> U202#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (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# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U21(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# fst X -> fst# proper X) (proper# U161(X1, X2) -> proper# X1, proper# fst X -> proper# X) (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# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U161(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U161(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U62 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# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U161(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U161(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U161(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U161(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U161(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U161(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U161(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U161(X1, X2) -> proper# X1, proper# isPLNatKind 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, X3) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U103 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U112 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U122 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U133 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U143 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U153 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U151(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U43 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U151(X1, X2, X3) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U53 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U72 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U82 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U151(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U151(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U151(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U151(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U151(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U103 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U112 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U122 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U133 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U143 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U153 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U141(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U43 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U141(X1, X2, X3) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U53 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U72 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U82 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U141(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U141(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U141(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U141(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U141(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U103 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U112 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U122 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U133 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U143 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U153 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U131(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U43 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U131(X1, X2, X3) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U53 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U72 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U82 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U131(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U131(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U131(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U131(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U131(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U121(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U121(X1, X2) -> proper# X1, proper# U103 X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U121(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U121(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U121(X1, X2) -> proper# X1, proper# U112 X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U121(X1, X2) -> proper# X1, proper# U122 X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U121(X1, X2) -> proper# X1, proper# U133 X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U121(X1, X2) -> proper# X1, proper# U143 X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U121(X1, X2) -> proper# X1, proper# U153 X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U121(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U121(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U121(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U121(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U121(X1, X2) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U121(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U121(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U121(X1, X2) -> proper# X1, proper# U43 X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U121(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U121(X1, X2) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U121(X1, X2) -> proper# X1, proper# U53 X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U121(X1, X2) -> proper# X1, proper# U62 X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U121(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U121(X1, X2) -> proper# X1, proper# U72 X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U121(X1, X2) -> proper# X1, proper# U82 X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U121(X1, X2) -> proper# X1, proper# U92 X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U121(X1, X2) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U121(X1, X2) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U121(X1, X2) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U121(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U121(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U121(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U121(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U121(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U103 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# 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# 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# U112 X -> U112# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U112 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U122 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U133 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U143 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U153 X -> proper# X) (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# 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# 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# 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) -> U202#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (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# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# 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# 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# 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# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U43 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U53 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U62 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# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U72 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U82 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# isPLNatKind 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, X3) -> proper# X1, proper# U102(X1, X2) -> U102#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U102(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U103 X -> U103# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U103 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U112 X -> U112# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U112 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U111(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U122 X -> U122# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U122 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U121(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U132(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U133 X -> U133# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U133 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U142(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U143 X -> U143# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U143 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U152(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U153 X -> U153# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U153 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> U161#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U161(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> U171#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> U181#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U181(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> U191#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U191(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> U202#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U202(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> U201#(proper X1, proper X2, proper X3, proper X4)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U201(X1, X2, X3, X4) -> proper# X4) (proper# U101(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> U211#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U211(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> U221#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U42(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U43 X -> U43# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U43 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U53 X -> U53# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U53 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U62 X -> U62# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U62 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U72 X -> U72# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U72 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U82 X -> U82# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U82 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U81(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U92 X -> U92# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U92 X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isNaturalKind X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> isLNatKind# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isLNatKind X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isPLNatKind X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (active# sel(X1, X2) -> active# X1, active# U102(X1, X2) -> U102#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U102(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U102(tt(), V2) -> U103# isLNat V2) (active# sel(X1, X2) -> active# X1, active# U102(tt(), V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X1, active# isNatural s V1 -> U121#(isNaturalKind V1, V1)) (active# sel(X1, X2) -> active# X1, active# isNatural s V1 -> isNaturalKind# V1) (active# sel(X1, X2) -> active# X1, active# isNatural head V1 -> U111#(isLNatKind V1, V1)) (active# sel(X1, X2) -> active# X1, active# isNatural head V1 -> isLNatKind# V1) (active# sel(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# sel(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# sel(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# sel(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# sel(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (active# sel(X1, X2) -> active# X1, active# U101(tt(), V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X1, active# U103 X -> active# X) (active# sel(X1, X2) -> active# X1, active# U103 X -> U103# active X) (active# sel(X1, X2) -> active# X1, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# sel(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNatKind# V1) (active# sel(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# sel(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# sel(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (active# sel(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# sel(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# sel(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# sel(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# sel(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# sel(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (active# sel(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (active# sel(X1, X2) -> active# X1, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (active# sel(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNatKind# V1) (active# sel(X1, X2) -> active# X1, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) (active# sel(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNatKind# V1) (active# sel(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# sel(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# sel(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNaturalKind# V1) (active# sel(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isLNatKind# V2) (active# sel(X1, X2) -> active# X1, active# snd X -> active# X) (active# sel(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# sel(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# sel(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# sel(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (active# sel(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# sel(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# sel(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# 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U191(tt(), XS) -> pair#(nil(), XS)) (active# sel(X1, X2) -> active# X1, active# U202(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# sel(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# sel(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (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(tt(), N, X, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# sel(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# fst X -> active# X) (active# sel(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# sel(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# sel(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# sel(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> 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-> active# X1) (active# U42(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U42(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U42(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U42(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U42(X1, X2) -> active# X1, active# head X -> active# X) (active# U42(X1, X2) -> active# X1, active# head X -> head# active X) (active# U42(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U42(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U42(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U42(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U42(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U42(X1, X2) -> active# X1, active# 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active# X2) (active# U42(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U42(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U42(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U42(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U42(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U42(X1, X2) -> active# X1, active# U202(X1, X2) -> active# X1) (active# U42(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U42(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U42(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U42(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U42(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U42(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U42(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U42(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U42(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U42(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U42(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U42(X1, X2) -> active# X1, active# fst X -> active# X) (active# U42(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U42(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U42(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U42(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U42(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U42(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U42(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U42(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U42(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U42(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U42(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U42(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# U42(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U42(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U42(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U42(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U42(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U42(X1, X2) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U42(X1, X2) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U42(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U42(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U42(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U42(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U42(X1, X2) -> active# X1, active# U43 X -> active# X) (active# U42(X1, X2) -> active# X1, active# U43 X -> U43# active X) (active# U42(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U42(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U42(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U42(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U42(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U42(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) 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-> active# X1, active# U82 X -> active# X) (active# U42(X1, X2) -> active# X1, active# U82 X -> U82# active X) (active# U42(X1, X2) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U42(X1, X2) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U42(X1, X2) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U42(X1, X2) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U42(X1, X2) -> active# X1, active# U92 X -> active# X) (active# U42(X1, X2) -> active# X1, active# U92 X -> U92# active X) (active# U42(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U42(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U42(X1, X2) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U42(X1, X2) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U42(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# U42(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) 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-> isLNatKind# XS) (active# U221(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (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(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U221(X1, X2, X3) -> active# X1, active# U112 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U112 X -> U112# active X) (active# U221(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# U221(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# U221(X1, X2, X3) -> active# X1, active# U122 X -> active# X) (active# U221(X1, X2, X3) -> active# X1, active# U122 X -> U122# active X) (active# U221(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U221(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U221(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U221(X1, X2, X3) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U221(X1, X2, X3) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U221(X1, X2, X3) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U221(X1, X2, X3) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U221(X1, X2, X3) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U221(X1, X2, X3) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural 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-> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U21(X1, X2) -> active# X1, active# U202(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U21(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U21(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U21(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U21(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U21(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# fst X -> active# X) (active# U21(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U21(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U21(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U21(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U21(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U21(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U21(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U21(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U21(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U21(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U21(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# U21(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U21(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U21(X1, X2) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U21(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U21(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U21(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U21(X1, X2) -> active# X1, active# U43 X -> active# X) (active# U21(X1, X2) -> active# X1, active# U43 X -> U43# active X) (active# U21(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U21(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U21(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U21(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U21(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U21(X1, X2) -> active# X1, active# U53 X -> active# X) (active# U21(X1, X2) -> active# X1, active# U53 X -> U53# active X) (active# U21(X1, X2) -> active# X1, active# U62 X -> active# X) (active# U21(X1, X2) -> active# X1, active# U62 X -> U62# active X) (active# U21(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U21(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U21(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U21(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U21(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U21(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U21(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U21(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U21(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U21(X1, X2) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# U21(X1, X2) -> active# X1, active# U72 X -> active# X) (active# U21(X1, X2) -> active# X1, active# U72 X -> U72# active X) (active# U21(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# U21(X1, X2) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U21(X1, X2) -> active# X1, active# U82 X -> active# X) (active# U21(X1, X2) -> active# X1, active# U82 X -> U82# active X) (active# U21(X1, X2) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U21(X1, X2) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U21(X1, X2) -> active# X1, active# U92 X -> active# X) (active# U21(X1, X2) -> active# X1, active# U92 X -> U92# active X) (active# U21(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U21(X1, X2) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U21(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U21(X1, X2) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U21(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U21(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U21(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U21(X1, X2) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U21(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U21(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U21(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# U21(X1, X2) -> active# X1, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# U21(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U21(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# U21(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# U21(X1, X2) -> active# X1, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# U21(X1, X2) -> active# X1, active# isLNatKind tail V1 -> isLNatKind# V1) (active# U21(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U21(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# U21(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# U21(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U21(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U21(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U21(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U21(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U21(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# U21(X1, X2) -> active# X1, active# tail X -> active# X) (active# U21(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U21(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U21(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U21(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# U21(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U21(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U21(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U21(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNaturalKind# N) (active# U21(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNatKind# XS) (active# U21(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U21(X1, X2) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U21(X1, X2) -> active# X1, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U21(X1, X2) -> active# X1, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U21(X1, X2) -> active# X1, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U21(X1, X2) -> active# X1, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U21(X1, X2) -> active# X1, active# take(N, XS) -> isNaturalKind# N) (active# U21(X1, X2) -> active# X1, active# take(N, XS) -> isLNatKind# XS) (active# U21(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U21(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U21(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U21(X1, X2) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U21(X1, X2) -> active# X1, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U21(X1, X2) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U21(X1, X2) -> active# X1, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U21(X1, X2) -> active# X1, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U21(X1, X2) -> active# X1, active# sel(N, XS) -> isNaturalKind# N) (active# U21(X1, X2) -> active# X1, active# sel(N, XS) -> isLNatKind# XS) (active# U21(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U21(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U21(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U102(X1, X2) -> U102#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U102(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U102(tt(), V2) -> U103# isLNat V2) (active# U202(X1, X2) -> active# X1, active# U102(tt(), V2) -> isLNat# V2) (active# U202(X1, X2) -> active# X1, active# isNatural s V1 -> U121#(isNaturalKind V1, V1)) (active# U202(X1, X2) -> active# X1, active# isNatural s V1 -> isNaturalKind# V1) (active# U202(X1, X2) -> active# X1, active# isNatural head V1 -> U111#(isLNatKind V1, V1)) (active# U202(X1, X2) -> active# X1, active# isNatural head V1 -> isLNatKind# V1) (active# U202(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U202(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U202(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# U202(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# U202(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# U202(X1, X2) -> active# X1, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (active# U202(X1, X2) -> active# X1, active# U101(tt(), V1, V2) -> isNatural# V1) (active# U202(X1, X2) -> active# X1, active# U103 X -> active# X) (active# U202(X1, X2) -> active# X1, active# U103 X -> U103# active X) (active# U202(X1, X2) -> active# X1, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# U202(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNatKind# V1) (active# U202(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U202(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U202(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (active# U202(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# U202(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# U202(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# U202(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U202(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U202(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (active# U202(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (active# U202(X1, X2) -> active# X1, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (active# U202(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNatKind# V1) (active# U202(X1, X2) -> active# X1, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) (active# U202(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNatKind# V1) (active# U202(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U202(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U202(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNaturalKind# V1) (active# U202(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isLNatKind# V2) (active# U202(X1, X2) -> active# X1, active# snd X -> active# X) (active# U202(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U202(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# U202(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U202(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (active# U202(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U202(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U202(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U202(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNatKind# Y) (active# U202(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNatKind# X) (active# U202(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U202(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U202(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U202(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# U202(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U202(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# U202(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# U202(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# U202(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# U202(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# U202(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# U202(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# U202(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# U202(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNatKind# XS) (active# U202(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U202(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS)) (active# U202(X1, X2) -> active# X1, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# U202(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNatKind# XS) (active# U202(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U202(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U202(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U202(X1, X2) -> active# X1, active# U112 X -> active# X) (active# U202(X1, X2) -> active# X1, active# U112 X -> U112# active X) (active# U202(X1, X2) -> active# X1, active# U111(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# U202(X1, X2) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# U202(X1, X2) -> active# X1, active# U122 X -> active# X) (active# U202(X1, X2) -> active# X1, active# U122 X -> U122# active X) (active# U202(X1, X2) -> active# X1, active# U121(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U202(X1, X2) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U202(X1, X2) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U202(X1, X2) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U202(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U202(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U202(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U202(X1, X2) -> active# X1, active# U133 X -> active# X) (active# U202(X1, X2) -> active# X1, active# U133 X -> U133# active X) (active# U202(X1, X2) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# U202(X1, X2) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# U202(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# U202(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# U202(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# U202(X1, X2) -> active# X1, active# U143 X -> active# X) (active# U202(X1, X2) -> active# X1, active# U143 X -> U143# active X) (active# U202(X1, X2) -> active# X1, active# U152(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# U202(X1, X2) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# U202(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# U202(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# U202(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# U202(X1, X2) -> active# X1, active# U153 X -> active# X) (active# U202(X1, X2) -> active# X1, active# U153 X -> U153# active X) (active# U202(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U202(X1, X2) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U202(X1, X2) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U202(X1, X2) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# U202(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U202(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U202(X1, X2) -> active# X1, active# s X -> active# X) (active# U202(X1, X2) -> active# X1, active# s X -> s# active X) (active# U202(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U202(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U202(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U202(X1, X2) -> active# X1, active# head X -> active# X) (active# U202(X1, X2) -> active# X1, active# head X -> head# active X) (active# U202(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U202(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U202(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U202(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U202(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U202(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U202(X1, X2) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U202(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U202(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U202(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U202(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U202(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U202(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U202(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U202(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U202(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNatKind# XS) (active# U202(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U202(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U202(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U202(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# U202(X1, X2) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U202(X1, X2) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U202(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U202(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U202(X1, X2) -> active# X1, active# U202(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U202(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U202(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U202(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U202(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U202(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# fst X -> active# X) (active# U202(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U202(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U202(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U202(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U202(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U202(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U202(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U202(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U202(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U202(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U202(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# U202(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U202(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U202(X1, X2) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U202(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U202(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U202(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U202(X1, X2) -> active# X1, active# U43 X -> active# X) (active# U202(X1, X2) -> active# X1, active# U43 X -> U43# active X) (active# U202(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U202(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U202(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U202(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U202(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U202(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# 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U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# pair(X1, X2) -> active# X1, active# U153 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U153 X -> U153# active X) (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 -> isNatural# N) (active# pair(X1, X2) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# pair(X1, X2) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# pair(X1, X2) -> active# X1, active# natsFrom N -> isNaturalKind# 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# head X -> active# X) (active# pair(X1, X2) -> active# X1, active# head X -> head# active X) (active# pair(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# pair(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# pair(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# pair(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# pair(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# pair(X1, X2) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# pair(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# pair(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# pair(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# pair(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# pair(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# pair(X1, X2) -> active# X1, 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-> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# pair(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# pair(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# pair(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# fst X -> active# X) (active# pair(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# pair(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# pair(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# pair(X1, X2) -> active# X1, active# fst pair(X, Y) -> 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U31(X1, X2) -> U31#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# pair(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# pair(X1, X2) -> active# X1, active# U43 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U43 X -> U43# active X) (active# pair(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# pair(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# pair(X1, X2) -> active# X1, active# U53 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U53 X -> U53# active X) (active# pair(X1, X2) -> active# X1, active# U62 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U62 X -> U62# active X) (active# pair(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# pair(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# pair(X1, X2) -> active# X1, active# 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active# X1, active# U71(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# pair(X1, X2) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# pair(X1, X2) -> active# X1, active# U82 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U82 X -> U82# active X) (active# pair(X1, X2) -> active# X1, active# U81(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# pair(X1, X2) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# pair(X1, X2) -> active# X1, active# U92 X -> active# X) (active# pair(X1, X2) -> active# X1, active# U92 X -> U92# active X) (active# pair(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U91(X1, X2) -> 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pair(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# pair(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# pair(X1, X2) -> active# X1, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# pair(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# pair(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# pair(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# pair(X1, X2) -> active# X1, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# pair(X1, X2) -> active# X1, active# isLNatKind tail V1 -> isLNatKind# V1) (active# pair(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# pair(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# pair(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# pair(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# pair(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# pair(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# pair(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# pair(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# pair(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# pair(X1, X2) -> active# X1, active# tail X -> active# X) (active# pair(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# pair(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# pair(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, 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isNaturalKind N)) (active# U171(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U171(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U171(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U171(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U171(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNatKind# XS) (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# 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) -> head# afterNth(N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (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# 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) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U171(X1, X2, X3) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (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) -> splitAt#(N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U171(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(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# 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# Y) (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#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U171(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U171(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U171(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U171(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U171(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (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) -> splitAt#(N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U171(X1, X2, X3) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U171(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U171(X1, X2, X3) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U171(X1, X2, X3) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U171(X1, X2, X3) -> active# X1, active# U43 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U43 X -> U43# active X) (active# U171(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U171(X1, X2, X3) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U171(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U171(X1, X2, X3) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U171(X1, X2, X3) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U171(X1, X2, X3) -> active# X1, active# U53 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U53 X -> U53# active X) (active# U171(X1, X2, X3) -> active# X1, active# U62 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X) (active# U171(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U171(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U171(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U171(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U171(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U171(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U171(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U171(X1, X2, X3) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# U171(X1, X2, X3) -> active# X1, active# U72 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U72 X -> U72# active X) (active# U171(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# U171(X1, X2, X3) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U171(X1, X2, X3) -> active# X1, active# U82 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U82 X -> U82# active X) (active# U171(X1, X2, X3) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U171(X1, X2, X3) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U171(X1, X2, X3) -> active# X1, active# U92 X -> active# X) (active# U171(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X) (active# U171(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U171(X1, X2, X3) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U171(X1, X2, X3) -> active# X1, active# and(X1, X2) -> active# X1) (active# U171(X1, X2, X3) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U171(X1, X2, X3) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U171(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U171(X1, X2, X3) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U171(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# U171(X1, X2, X3) -> active# X1, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U171(X1, X2, X3) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# U171(X1, X2, X3) -> active# X1, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNatKind tail V1 -> isLNatKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U171(X1, X2, X3) -> active# X1, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# U171(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U171(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U171(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U171(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U171(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# 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) -> isLNat# XS) (active# U171(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# U171(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U171(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U171(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U171(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNaturalKind# N) (active# U171(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isLNatKind# 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) -> isLNat# XS) (active# U171(X1, X2, X3) -> active# X1, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U171(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U171(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U171(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNaturalKind# N) (active# U171(X1, X2, X3) -> active# X1, active# take(N, XS) -> isLNatKind# 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) -> isNatural# N) (active# U171(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U171(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U171(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U171(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U171(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U171(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNaturalKind# N) (active# U171(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isLNatKind# XS) (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(X1, X2) -> U102#(active X1, X2)) (active# U161(X1, X2) -> active# X1, active# U102(X1, X2) -> active# X1) (active# U161(X1, X2) -> active# X1, active# U102(tt(), V2) -> U103# isLNat V2) (active# U161(X1, X2) -> active# X1, active# U102(tt(), V2) -> isLNat# V2) (active# U161(X1, X2) -> active# X1, active# isNatural s V1 -> U121#(isNaturalKind V1, V1)) (active# U161(X1, X2) -> active# X1, active# isNatural s V1 -> isNaturalKind# V1) (active# U161(X1, X2) -> active# X1, active# isNatural head V1 -> U111#(isLNatKind V1, V1)) (active# U161(X1, X2) -> active# X1, active# isNatural head V1 -> isLNatKind# V1) (active# U161(X1, X2) -> active# X1, 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-> isLNatKind# V2) (active# U161(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U161(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U161(X1, X2) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U161(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U161(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U161(X1, X2) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# 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) -> isLNat# XS) (active# U161(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, 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isLNatKind V2), V1, V2)) (active# U151(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U151(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNaturalKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isLNatKind# V2) (active# U151(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U151(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# U151(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U151(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (active# U151(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U151(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U151(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U151(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNatKind# Y) (active# U151(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNatKind# X) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNatKind# XS) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS)) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# U151(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNatKind# XS) (active# U151(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U151(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U151(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U151(X1, X2, X3) -> active# X1, active# U112 X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# U112 X -> U112# active X) (active# U151(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# U151(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# U151(X1, X2, X3) -> active# X1, active# U122 X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# U122 X -> U122# active X) (active# U151(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U151(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U151(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U151(X1, X2, X3) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U151(X1, X2, X3) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U151(X1, X2, X3) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U151(X1, X2, X3) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U151(X1, X2, X3) -> active# X1, active# U133 X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# U133 X -> U133# active X) (active# U151(X1, X2, X3) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# U151(X1, X2, X3) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# U151(X1, X2, X3) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# U151(X1, X2, X3) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# U151(X1, X2, X3) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# U151(X1, X2, X3) -> active# X1, active# U143 X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# U143 X -> U143# active X) (active# U151(X1, X2, X3) -> active# X1, active# U152(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# U151(X1, X2, X3) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# U151(X1, X2, X3) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# U151(X1, X2, X3) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# U151(X1, X2, X3) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# U151(X1, X2, X3) -> active# X1, active# U153 X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# U153 X -> U153# active X) (active# U151(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U151(X1, X2, X3) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U151(X1, X2, X3) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U151(X1, X2, X3) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# U151(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U151(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U151(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U151(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U151(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> s# N) (active# U151(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U151(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U151(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U151(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U151(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U151(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U151(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U151(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U151(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U151(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U151(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U151(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U151(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U151(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U151(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U151(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U151(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNatKind# XS) (active# U151(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U151(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U151(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U151(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# U151(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U151(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U151(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U151(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U151(X1, X2, X3) -> active# X1, active# U202(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U151(X1, X2, X3) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U151(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U151(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U151(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U151(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U151(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U151(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U151(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U151(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U151(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U151(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U151(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U151(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U151(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U151(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# U151(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U151(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U151(X1, X2, X3) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U151(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U151(X1, X2, X3) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U151(X1, X2, X3) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U151(X1, X2, X3) -> active# X1, active# U43 X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# U43 X -> U43# active X) (active# U151(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U151(X1, X2, X3) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U151(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U151(X1, X2, X3) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U151(X1, X2, X3) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U151(X1, X2, X3) -> active# X1, active# U53 X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# U53 X -> U53# active X) (active# U151(X1, X2, X3) -> active# X1, active# U62 X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X) (active# U151(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U151(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U151(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U151(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U151(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U151(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U151(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U151(X1, X2, X3) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# U151(X1, X2, X3) -> active# X1, active# U72 X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# U72 X -> U72# active X) (active# U151(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# U151(X1, X2, X3) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U151(X1, X2, X3) -> active# X1, active# U82 X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# U82 X -> U82# active X) (active# U151(X1, X2, X3) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U151(X1, X2, X3) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U151(X1, X2, X3) -> active# X1, active# U92 X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X) (active# U151(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U151(X1, X2, X3) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U151(X1, X2, X3) -> active# X1, active# and(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U151(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U151(X1, X2, X3) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U151(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# U151(X1, X2, X3) -> active# X1, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U151(X1, X2, X3) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# U151(X1, X2, X3) -> active# X1, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isLNatKind tail V1 -> isLNatKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U151(X1, X2, X3) -> active# X1, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# U151(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U151(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U151(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U151(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U151(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# U151(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U151(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U151(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U151(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U151(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# U151(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U151(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U151(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U151(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNaturalKind# N) (active# U151(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isLNatKind# XS) (active# U151(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U151(X1, X2, X3) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U151(X1, X2, X3) -> active# X1, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U151(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U151(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U151(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U151(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNaturalKind# N) (active# U151(X1, X2, X3) -> active# X1, active# take(N, XS) -> isLNatKind# XS) (active# U151(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U151(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U151(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U151(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U151(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U151(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U151(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U151(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U151(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U151(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNaturalKind# N) (active# U151(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isLNatKind# XS) (active# U151(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U151(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U151(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U151(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U102(X1, X2) -> U102#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U102(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U102(tt(), V2) -> U103# isLNat V2) (active# U141(X1, X2, X3) -> active# X1, active# U102(tt(), V2) -> isLNat# V2) (active# U141(X1, X2, X3) -> active# X1, active# isNatural s V1 -> U121#(isNaturalKind V1, V1)) (active# U141(X1, X2, X3) -> active# X1, active# isNatural s V1 -> isNaturalKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isNatural head V1 -> U111#(isLNatKind V1, V1)) (active# U141(X1, X2, X3) -> active# X1, active# isNatural head V1 -> isLNatKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U141(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U141(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# U141(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# U141(X1, X2, X3) -> active# X1, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (active# U141(X1, X2, X3) -> active# X1, active# U101(tt(), V1, V2) -> isNatural# V1) (active# U141(X1, X2, X3) -> active# X1, active# U103 X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# U103 X -> U103# active X) (active# U141(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# U141(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> isPLNatKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U141(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U141(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# U141(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# U141(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U141(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U141(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (active# U141(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (active# U141(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> isPLNatKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) (active# U141(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> isLNatKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U141(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U141(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNaturalKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isLNatKind# V2) (active# U141(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U141(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# U141(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U141(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (active# U141(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U141(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U141(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U141(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNatKind# Y) (active# U141(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNatKind# X) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNatKind# XS) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS)) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# U141(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNatKind# XS) (active# U141(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U141(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U141(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U141(X1, X2, X3) -> active# X1, active# U112 X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# U112 X -> U112# active X) (active# U141(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# U141(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# U141(X1, X2, X3) -> active# X1, active# U122 X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# U122 X -> U122# active X) (active# U141(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U141(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U141(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U141(X1, X2, X3) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U141(X1, X2, X3) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U141(X1, X2, X3) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U141(X1, X2, X3) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U141(X1, X2, X3) -> active# X1, active# U133 X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# U133 X -> U133# active X) (active# U141(X1, X2, X3) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# U141(X1, X2, X3) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# U141(X1, X2, X3) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# U141(X1, X2, X3) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# U141(X1, X2, X3) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# U141(X1, X2, X3) -> active# X1, active# U143 X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# U143 X -> U143# active X) (active# U141(X1, X2, X3) -> active# X1, active# U152(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# U141(X1, X2, X3) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# U141(X1, X2, X3) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# U141(X1, X2, X3) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# U141(X1, X2, X3) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# U141(X1, X2, X3) -> active# X1, active# U153 X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# U153 X -> U153# active X) (active# U141(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U141(X1, X2, X3) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U141(X1, X2, X3) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U141(X1, X2, X3) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# U141(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U141(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U141(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U141(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U141(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> s# N) (active# U141(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U141(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U141(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U141(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U141(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U141(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U141(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U141(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U141(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U141(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U141(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U141(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U141(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U141(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U141(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U141(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U141(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNatKind# XS) (active# U141(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U141(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U141(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U141(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# U141(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U141(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U141(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U141(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U141(X1, X2, X3) -> active# X1, active# U202(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U141(X1, X2, X3) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U141(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U141(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U141(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U141(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U141(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U141(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U141(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U141(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U141(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U141(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U141(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U141(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U141(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U141(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# U141(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U141(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U141(X1, X2, X3) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U141(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U141(X1, X2, X3) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U141(X1, X2, X3) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U141(X1, X2, X3) -> active# X1, active# U43 X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# U43 X -> U43# active X) (active# U141(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U141(X1, X2, X3) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U141(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U141(X1, X2, X3) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U141(X1, X2, X3) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U141(X1, X2, X3) -> active# X1, active# U53 X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# U53 X -> U53# active X) (active# U141(X1, X2, X3) -> active# X1, active# U62 X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X) (active# U141(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U141(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U141(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U141(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U141(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U141(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U141(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U141(X1, X2, X3) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# U141(X1, X2, X3) -> active# X1, active# U72 X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# U72 X -> U72# active X) (active# U141(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# U141(X1, X2, X3) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U141(X1, X2, X3) -> active# X1, active# U82 X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# U82 X -> U82# active X) (active# U141(X1, X2, X3) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U141(X1, X2, X3) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U141(X1, X2, X3) -> active# X1, active# U92 X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X) (active# U141(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U141(X1, X2, X3) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U141(X1, X2, X3) -> active# X1, active# and(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U141(X1, X2, X3) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U141(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U141(X1, X2, X3) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U141(X1, X2, X3) -> 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isLNatKind take(V1, V2) -> isLNatKind# V2) (active# U141(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U141(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U141(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U141(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U141(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# U141(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U141(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U141(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U141(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U141(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# U141(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U141(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U141(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U141(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNaturalKind# N) (active# U141(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isLNatKind# XS) (active# U141(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U141(X1, X2, X3) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U141(X1, X2, X3) -> active# X1, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U141(X1, X2, X3) -> active# X1, active# take(N, 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U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U141(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U141(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U141(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U141(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNaturalKind# N) (active# U141(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isLNatKind# XS) (active# U141(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U141(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U141(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U141(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U102(X1, X2) -> U102#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U102(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U102(tt(), V2) -> U103# isLNat V2) (active# U131(X1, X2, X3) -> active# X1, active# U102(tt(), V2) -> isLNat# V2) (active# U131(X1, X2, X3) -> active# X1, active# isNatural s V1 -> U121#(isNaturalKind V1, V1)) (active# U131(X1, X2, X3) -> active# X1, active# isNatural s V1 -> isNaturalKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isNatural head V1 -> U111#(isLNatKind V1, V1)) (active# U131(X1, X2, X3) -> active# X1, active# isNatural head V1 -> isLNatKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U131(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U131(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# U131(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# U131(X1, X2, X3) -> active# X1, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (active# U131(X1, X2, X3) -> active# X1, active# U101(tt(), V1, V2) -> isNatural# V1) (active# U131(X1, X2, X3) -> active# X1, active# U103 X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# U103 X -> U103# active X) (active# U131(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# U131(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> isPLNatKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U131(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U131(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# U131(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# U131(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U131(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U131(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (active# U131(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (active# U131(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> isPLNatKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) 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-> and#(isLNat Y, isLNatKind Y)) (active# U131(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U131(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U131(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNatKind# Y) (active# U131(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNatKind# X) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNatKind# XS) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS)) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# U131(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNatKind# XS) (active# U131(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U131(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U131(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U131(X1, X2, X3) -> active# X1, active# U112 X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# U112 X -> U112# active X) (active# U131(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# U131(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# U131(X1, X2, X3) -> active# X1, active# U122 X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# U122 X -> U122# active X) (active# U131(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U131(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U131(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U131(X1, X2, X3) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U131(X1, X2, X3) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U131(X1, X2, X3) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U131(X1, X2, X3) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U131(X1, X2, X3) -> active# X1, active# U133 X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# U133 X -> U133# active X) (active# U131(X1, X2, X3) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# U131(X1, X2, X3) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# U131(X1, X2, X3) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# U131(X1, X2, X3) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# U131(X1, X2, X3) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# U131(X1, X2, X3) -> active# X1, active# U143 X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# U143 X -> U143# active X) (active# U131(X1, X2, X3) -> active# X1, active# U152(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# U131(X1, X2, X3) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# U131(X1, X2, X3) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# U131(X1, X2, X3) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# U131(X1, X2, X3) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# U131(X1, X2, X3) -> active# X1, active# U153 X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# U153 X -> U153# active X) (active# U131(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U131(X1, X2, X3) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U131(X1, X2, X3) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U131(X1, X2, X3) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# U131(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U131(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U131(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U131(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U131(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> s# N) (active# U131(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U131(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U131(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U131(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U131(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U131(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U131(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U131(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U131(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U131(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U131(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U131(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U131(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U131(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U131(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U131(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U131(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNatKind# XS) (active# U131(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U131(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U131(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U131(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# U131(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U131(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U131(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U131(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U131(X1, X2, X3) -> active# X1, active# U202(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U131(X1, X2, X3) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U131(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U131(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U131(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U131(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U131(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U131(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U131(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U131(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U131(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U131(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U131(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U131(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U131(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U131(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# U131(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U131(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U131(X1, X2, X3) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U131(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U131(X1, X2, X3) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U131(X1, X2, X3) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U131(X1, X2, X3) -> active# X1, active# U43 X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# U43 X -> U43# active X) (active# U131(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U131(X1, X2, X3) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U131(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U131(X1, X2, X3) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U131(X1, X2, X3) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U131(X1, X2, X3) -> active# X1, active# U53 X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# U53 X -> U53# active X) (active# U131(X1, X2, X3) -> active# X1, active# U62 X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# U62 X -> U62# active X) (active# U131(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U131(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U131(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U131(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U131(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U131(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U131(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U131(X1, X2, X3) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) (active# U131(X1, X2, X3) -> active# X1, active# U72 X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# U72 X -> U72# active X) (active# U131(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U71(tt(), V1) -> isNatural# V1) (active# U131(X1, X2, X3) -> active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U131(X1, X2, X3) -> active# X1, active# U82 X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# U82 X -> U82# active X) (active# U131(X1, X2, X3) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U131(X1, X2, X3) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U131(X1, X2, X3) -> active# X1, active# U92 X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X) (active# U131(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U131(X1, X2, X3) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U131(X1, X2, X3) -> active# X1, active# and(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U131(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U131(X1, X2, X3) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U131(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# U131(X1, X2, X3) -> active# X1, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U131(X1, X2, X3) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# U131(X1, X2, X3) -> active# X1, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isLNatKind tail V1 -> isLNatKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U131(X1, X2, X3) -> active# X1, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# U131(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U131(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U131(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U131(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U131(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V2) (active# U131(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U131(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U131(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U131(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U131(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# U131(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U131(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U131(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U131(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNaturalKind# N) (active# U131(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isLNatKind# XS) (active# U131(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U131(X1, X2, X3) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U131(X1, X2, X3) -> active# X1, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U131(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U131(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U131(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U131(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNaturalKind# N) (active# U131(X1, X2, X3) -> active# X1, active# take(N, XS) -> isLNatKind# XS) (active# U131(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U131(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U131(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U131(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U131(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U131(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U131(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U131(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U131(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U131(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNaturalKind# N) (active# U131(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isLNatKind# XS) (active# U131(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U131(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U131(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U131(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U102(X1, X2) -> U102#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U102(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U102(tt(), V2) -> U103# isLNat V2) (active# U121(X1, X2) -> active# X1, active# U102(tt(), V2) -> isLNat# V2) (active# U121(X1, X2) -> active# X1, active# isNatural s V1 -> U121#(isNaturalKind V1, V1)) (active# U121(X1, X2) -> active# X1, active# isNatural s V1 -> isNaturalKind# V1) (active# U121(X1, X2) -> active# X1, active# isNatural head V1 -> U111#(isLNatKind V1, V1)) (active# U121(X1, X2) -> active# X1, active# isNatural head V1 -> isLNatKind# V1) (active# U121(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> U131#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U121(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U121(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# U121(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# U121(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# U121(X1, X2) -> active# X1, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (active# U121(X1, X2) -> active# X1, active# U101(tt(), V1, V2) -> isNatural# V1) (active# U121(X1, X2) -> active# X1, active# U103 X -> active# X) (active# U121(X1, X2) -> active# X1, active# U103 X -> U103# active X) (active# U121(X1, X2) -> active# X1, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# U121(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNatKind# V1) (active# U121(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U121(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U121(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (active# U121(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# U121(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# U121(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# U121(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U121(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U121(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (active# U121(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (active# U121(X1, X2) -> active# X1, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (active# U121(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNatKind# V1) (active# U121(X1, X2) -> active# X1, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) (active# U121(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNatKind# V1) (active# U121(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U121(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U121(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNaturalKind# V1) (active# U121(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isLNatKind# V2) (active# U121(X1, X2) -> active# X1, active# snd X -> active# X) (active# U121(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U121(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# U121(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U121(X1, X2) -> active# X1, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (active# U121(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U121(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U121(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U121(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNatKind# Y) (active# U121(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNatKind# X) (active# U121(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U121(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U121(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U121(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# U121(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U121(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# U121(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# U121(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# U121(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# U121(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# U121(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# U121(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# U121(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# U121(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNatKind# XS) (active# U121(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U121(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS)) (active# U121(X1, X2) -> active# X1, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# U121(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNatKind# XS) (active# U121(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U121(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U121(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U121(X1, X2) -> active# X1, active# U112 X -> active# X) (active# U121(X1, X2) -> active# X1, active# U112 X -> U112# active X) (active# U121(X1, X2) -> active# X1, active# U111(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# U121(X1, X2) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# U121(X1, X2) -> active# X1, active# U122 X -> active# X) (active# U121(X1, X2) -> active# X1, active# U122 X -> U122# active X) (active# U121(X1, X2) -> active# X1, active# U121(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U121(X1, X2) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U121(X1, X2) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U121(X1, X2) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U121(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U121(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U121(X1, X2) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U121(X1, X2) -> active# X1, active# U133 X -> active# X) (active# U121(X1, X2) -> active# X1, active# U133 X -> U133# active X) (active# U121(X1, X2) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# U121(X1, X2) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# U121(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# U121(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# U121(X1, X2) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# U121(X1, X2) -> active# X1, active# U143 X -> active# X) (active# U121(X1, X2) -> active# X1, active# U143 X -> U143# active X) (active# U121(X1, X2) -> active# X1, active# U152(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# U121(X1, X2) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# U121(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# U121(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# U121(X1, X2) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# U121(X1, X2) -> active# X1, active# U153 X -> active# X) (active# U121(X1, X2) -> active# X1, active# U153 X -> U153# active X) (active# U121(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U121(X1, X2) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U121(X1, X2) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U121(X1, X2) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# U121(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U121(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U121(X1, X2) -> active# X1, active# s X -> active# X) (active# U121(X1, X2) -> active# X1, active# s X -> s# active X) (active# U121(X1, X2) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U121(X1, X2) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U121(X1, X2) -> active# X1, active# U161(tt(), N) -> s# N) (active# U121(X1, X2) -> active# X1, active# head X -> active# X) (active# U121(X1, X2) -> active# X1, active# head X -> head# active X) (active# U121(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U121(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U121(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U121(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U121(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U121(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U121(X1, X2) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U121(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U121(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U121(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U121(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U121(X1, X2) -> active# X1, active# afterNth(N, XS) -> 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X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U121(X1, X2) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U121(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U121(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U121(X1, X2) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U121(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# fst X -> active# X) (active# U121(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U121(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U121(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U121(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U121(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U121(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U121(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U121(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U121(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U121(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U121(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# U121(X1, X2) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U121(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U121(X1, X2) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U121(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U121(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U121(X1, X2) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U121(X1, X2) -> active# X1, active# U43 X -> active# X) (active# U121(X1, X2) -> active# X1, active# U43 X -> U43# active X) (active# U121(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U52(tt(), V2) -> isLNat# V2) (active# U121(X1, X2) -> active# X1, active# U52(tt(), V2) -> U53# isLNat V2) (active# U121(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U121(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> isNatural# V1) (active# U121(X1, X2) -> active# X1, active# U51(tt(), V1, V2) -> U52#(isNatural V1, V2)) (active# U121(X1, X2) -> active# X1, active# U53 X -> active# X) (active# U121(X1, X2) -> active# X1, active# U53 X -> U53# active X) (active# U121(X1, X2) -> active# X1, active# U62 X -> active# X) (active# U121(X1, X2) -> active# X1, active# U62 X -> U62# active X) (active# U121(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> U151#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U121(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U121(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNaturalKind# V1) (active# U121(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNatKind# V2) (active# U121(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> U141#(and(isLNatKind V1, isLNatKind V2), V1, V2)) (active# U121(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U121(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V1) (active# U121(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNatKind# V2) (active# U121(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U61(tt(), V1) -> U62# isPLNat V1) (active# U121(X1, X2) -> active# X1, active# U61(tt(), V1) -> isPLNat# V1) 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X -> U92# active X) (active# U121(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U121(X1, X2) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# U121(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# isNaturalKind s V1 -> isNaturalKind# V1) (active# U121(X1, X2) -> active# X1, active# isNaturalKind head V1 -> isLNatKind# V1) (active# U121(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U121(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isNaturalKind# V1) (active# U121(X1, X2) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U121(X1, X2) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U121(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U121(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U121(X1, X2) -> active# X1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# U121(X1, X2) -> active# X1, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# U121(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U121(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# U121(X1, X2) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# U121(X1, X2) -> active# X1, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# U121(X1, X2) -> active# X1, active# isLNatKind tail V1 -> isLNatKind# V1) (active# U121(X1, X2) -> active# X1, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) 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U121(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U121(X1, X2) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# U121(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U121(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U121(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U121(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNaturalKind# N) (active# U121(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNatKind# XS) (active# U121(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U121(X1, X2) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U121(X1, X2) -> active# X1, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U121(X1, X2) -> active# X1, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U121(X1, X2) -> active# X1, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U121(X1, X2) -> active# X1, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U121(X1, X2) -> active# X1, active# take(N, XS) -> isNaturalKind# N) (active# U121(X1, X2) -> active# X1, active# take(N, XS) -> isLNatKind# XS) (active# U121(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U121(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U121(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U121(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U121(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U121(X1, X2) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U121(X1, X2) -> active# X1, active# sel(N, XS) -> 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U11(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# U11(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# U11(X1, X2, X3) -> active# X1, active# U122 X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U122 X -> U122# active X) (active# U11(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U11(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U11(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# 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U11(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U11(X1, X2, X3) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U11(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U41(tt(), V1, V2) -> isNatural# V1) (active# U11(X1, X2, X3) -> active# X1, active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2)) (active# U11(X1, X2, X3) -> active# X1, active# U43 X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U43 X -> U43# active X) (active# U11(X1, X2, X3) -> active# X1, 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isNaturalKind# V1) (active# U11(X1, X2, X3) -> active# X1, active# isNaturalKind sel(V1, V2) -> isLNatKind# V2) (active# U11(X1, X2, X3) -> active# X1, active# isLNatKind snd V1 -> isPLNatKind# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U11(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> isNaturalKind# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNatKind cons(V1, V2) -> isLNatKind# V2) (active# U11(X1, X2, X3) -> active# X1, active# isLNatKind natsFrom V1 -> isNaturalKind# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNatKind afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U11(X1, X2, X3) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isNaturalKind# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNatKind afterNth(V1, V2) -> isLNatKind# V2) (active# U11(X1, X2, X3) -> active# X1, active# isLNatKind fst V1 -> isPLNatKind# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNatKind tail V1 -> isLNatKind# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNatKind take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U11(X1, X2, X3) -> active# X1, active# isLNatKind take(V1, V2) -> isNaturalKind# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNatKind take(V1, V2) -> isLNatKind# V2) (active# U11(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U11(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isNaturalKind# V1) (active# U11(X1, X2, X3) -> active# X1, active# isPLNatKind splitAt(V1, V2) -> isLNatKind# V2) (active# U11(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> and#(isLNatKind V1, isLNatKind V2)) (active# U11(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# V1) (active# U11(X1, X2, X3) -> active# X1, active# isPLNatKind pair(V1, V2) -> isLNatKind# 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) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U211#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS)) (active# U11(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U11(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U11(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U11(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNaturalKind# N) (active# U11(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isLNatKind# XS) (active# U11(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U11(X1, X2, X3) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# take(N, XS) -> U221#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U11(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U11(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U11(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNaturalKind# N) (active# U11(X1, X2, X3) -> active# X1, active# take(N, XS) -> isLNatKind# 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) -> isNatural# N) (active# U11(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U171#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U11(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U11(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U11(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNaturalKind# N) (active# U11(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isLNatKind# XS) (active# U11(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) 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U101(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U101(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNaturalKind# V1) (active# U101(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isLNatKind# V2) (active# U101(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# U101(X1, X2, X3) -> active# X1, active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2)) (active# U101(X1, X2, X3) -> active# X1, active# U101(tt(), V1, V2) -> isNatural# V1) (active# U101(X1, X2, X3) -> active# X1, active# U103 X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# U103 X -> U103# active X) (active# U101(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> U81#(isPLNatKind V1, V1)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> isPLNatKind# V1) (active# U101(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> U51#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isNaturalKind# V1) (active# U101(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isLNatKind# V2) (active# U101(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> U71#(isNaturalKind V1, V1)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> isNaturalKind# V1) (active# U101(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> U41#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isNaturalKind# V1) (active# U101(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNatKind# V2) (active# U101(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> U61#(isPLNatKind V1, V1)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> isPLNatKind# V1) (active# U101(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> U91#(isLNatKind V1, V1)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> isLNatKind# V1) (active# U101(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> U101#(and(isNaturalKind V1, isLNatKind V2), V1, V2)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> and#(isNaturalKind V1, isLNatKind V2)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNaturalKind# V1) (active# U101(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isLNatKind# V2) (active# U101(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U101(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# U101(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U101(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U181#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), Y)) (active# U101(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U101(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U101(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U101(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNatKind# Y) (active# U101(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNatKind# X) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U201#(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS)) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, isNaturalKind N)) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isNaturalKind X)) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isLNat XS, isLNatKind XS)) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS)))) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# N) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNaturalKind# X) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNatKind# XS) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U191#(and(isLNat XS, isLNatKind XS), XS)) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> and#(isLNat XS, isLNatKind XS)) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNatKind# XS) (active# U101(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U101(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U112 X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# U112 X -> U112# active X) (active# U101(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U111(X1, X2) -> U111#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> isLNat# V1) (active# U101(X1, X2, X3) -> active# X1, active# U111(tt(), V1) -> U112# isLNat V1) (active# U101(X1, X2, X3) -> active# X1, active# U122 X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# U122 X -> U122# active X) (active# U101(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U121(X1, X2) -> U121#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> isNatural# V1) (active# U101(X1, X2, X3) -> active# X1, active# U121(tt(), V1) -> U122# isNatural V1) (active# U101(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U132(X1, X2) -> U132#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U132(tt(), V2) -> isLNat# V2) (active# U101(X1, X2, X3) -> active# X1, active# U132(tt(), V2) -> U133# isLNat V2) (active# U101(X1, X2, X3) -> active# X1, active# U131(X1, X2, X3) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U131(X1, X2, X3) -> U131#(active X1, X2, X3)) (active# U101(X1, X2, X3) -> active# X1, active# U131(tt(), V1, V2) -> isNatural# V1) (active# U101(X1, X2, X3) -> active# X1, active# U131(tt(), V1, V2) -> U132#(isNatural V1, V2)) (active# U101(X1, X2, X3) -> active# X1, active# U133 X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# U133 X -> U133# active X) (active# U101(X1, X2, X3) -> active# X1, active# U142(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U142(X1, X2) -> U142#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U142(tt(), V2) -> isLNat# V2) (active# U101(X1, X2, X3) -> active# X1, active# U142(tt(), V2) -> U143# isLNat V2) (active# U101(X1, X2, X3) -> active# X1, active# U141(X1, X2, X3) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U141(X1, X2, X3) -> U141#(active X1, X2, X3)) (active# U101(X1, X2, X3) -> active# X1, active# U141(tt(), V1, V2) -> isLNat# V1) (active# U101(X1, X2, X3) -> active# X1, active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2)) (active# U101(X1, X2, X3) -> active# X1, active# U143 X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# U143 X -> U143# active X) (active# U101(X1, X2, X3) -> active# X1, active# U152(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U152(X1, X2) -> U152#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U152(tt(), V2) -> isLNat# V2) (active# U101(X1, X2, X3) -> active# X1, active# U152(tt(), V2) -> U153# isLNat V2) (active# U101(X1, X2, X3) -> active# X1, active# U151(X1, X2, X3) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U151(X1, X2, X3) -> U151#(active X1, X2, X3)) (active# U101(X1, X2, X3) -> active# X1, active# U151(tt(), V1, V2) -> isNatural# V1) (active# U101(X1, X2, X3) -> active# X1, active# U151(tt(), V1, V2) -> U152#(isNatural V1, V2)) (active# U101(X1, X2, X3) -> active# X1, active# U153 X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# U153 X -> U153# active X) (active# U101(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U101(X1, X2, X3) -> active# X1, active# natsFrom N -> U161#(and(isNatural N, isNaturalKind N), N)) (active# U101(X1, X2, X3) -> active# X1, active# natsFrom N -> and#(isNatural N, isNaturalKind N)) (active# U101(X1, X2, X3) -> active# X1, active# natsFrom N -> isNaturalKind# N) (active# U101(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U101(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U101(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U161(X1, X2) -> U161#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> cons#(N, natsFrom s N)) (active# U101(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> natsFrom# s N) (active# U101(X1, X2, X3) -> active# X1, active# U161(tt(), N) -> s# N) (active# U101(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U101(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U101(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U101(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N)) (active# U101(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U101(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U101(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U101(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNaturalKind# N) (active# U101(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isLNatKind# XS) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isNaturalKind N)) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isLNat XS, isLNatKind XS)) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS))) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNaturalKind# N) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNatKind# XS) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U171(X1, X2, X3) -> U171#(active X1, X2, X3)) (active# U101(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> head# afterNth(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U171(tt(), N, XS) -> afterNth#(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U181(X1, X2) -> U181#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U101(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U101(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U191(X1, X2) -> U191#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U191(tt(), XS) -> pair#(nil(), XS)) (active# U101(X1, X2, X3) -> active# X1, active# U202(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U202(X1, X2) -> U202#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U202(pair(YS, ZS), X) -> cons#(X, YS)) (active# U101(X1, X2, X3) -> active# X1, active# U202(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U101(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U201(X1, X2, X3, X4) -> U201#(active X1, X2, X3, X4)) (active# U101(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U201(tt(), N, X, XS) -> U202#(splitAt(N, XS), X)) (active# U101(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U211(X1, X2) -> U211#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U101(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U101(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U101(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X)) (active# U101(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat Y, isLNatKind Y)) (active# U101(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNatKind X)) (active# U101(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y))) (active# U101(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNatKind# Y) (active# U101(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNatKind# X) (active# U101(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U221(X1, X2, X3) -> U221#(active X1, X2, X3)) (active# U101(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> splitAt#(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U221(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U42(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U42(X1, X2) -> U42#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U42(tt(), V2) -> isLNat# V2) (active# U101(X1, X2, X3) -> active# X1, active# U42(tt(), V2) -> U43# isLNat V2) (active# U101(X1, X2, X3) -> 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active# X1, active# U71(tt(), V1) -> U72# isNatural V1) (active# U101(X1, X2, X3) -> active# X1, active# U82 X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# U82 X -> U82# active X) (active# U101(X1, X2, X3) -> active# X1, active# U81(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U81(X1, X2) -> U81#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U81(tt(), V1) -> isPLNat# V1) (active# U101(X1, X2, X3) -> active# X1, active# U81(tt(), V1) -> U82# isPLNat V1) (active# U101(X1, X2, X3) -> active# X1, active# U92 X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# U92 X -> U92# active X) (active# U101(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U91(tt(), V1) -> isLNat# V1) (active# U101(X1, X2, X3) -> active# X1, active# U91(tt(), V1) -> U92# isLNat V1) (active# 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-> proper# X4, proper# U111(X1, X2) -> U111#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U111(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U111(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U122 X -> U122# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U122 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U121(X1, X2) -> U121#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U121(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U121(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U132(X1, X2) -> U132#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U132(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U132(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U131(X1, X2, X3) -> U131#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U131(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U131(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U131(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U133 X -> U133# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U133 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U142(X1, X2) -> U142#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U142(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U142(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U141(X1, X2, X3) -> U141#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U141(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U141(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U141(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U143 X -> U143# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U143 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U152(X1, X2) -> U152#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U152(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U152(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U151(X1, X2, X3) -> U151#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U151(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U151(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U151(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U153 X -> U153# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U153 X -> proper# X) (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# 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# 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# 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) -> U202#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U202(X1, X2) -> proper# X2) (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# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U21(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# 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# 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# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2) -> U42#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U43 X -> U43# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U43 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U52(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U52(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2, X3) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2, X3) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2, X3) -> proper# X3) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U53 X -> U53# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U53 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U62 X -> U62# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U62 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# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U72 X -> U72# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U72 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U82 X -> U82# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U82 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2) -> U81#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U92 X -> U92# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U92 X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U91(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# U91(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# and(X1, X2) -> proper# X1) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# and(X1, X2) -> proper# X2) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# isNaturalKind X -> isNaturalKind# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# isNaturalKind X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# isLNatKind X -> isLNatKind# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# isLNatKind X -> proper# X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# isPLNatKind X -> isPLNatKind# proper X) (proper# U201(X1, X2, X3, X4) -> proper# X4, proper# isPLNatKind 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# U41(tt(), V1, V2) -> U42#(isNatural V1, V2), U42#(mark X1, X2) -> U42#(X1, X2)) (active# U41(tt(), V1, V2) -> U42#(isNatural V1, V2), U42#(ok X1, ok X2) -> U42#(X1, X2)) (active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2), U142#(mark X1, X2) -> U142#(X1, X2)) (active# U141(tt(), V1, V2) -> U142#(isLNat V1, V2), U142#(ok X1, ok X2) -> U142#(X1, X2)) (active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2), U102#(mark X1, X2) -> U102#(X1, X2)) (active# U101(tt(), V1, V2) -> U102#(isNatural V1, V2), U102#(ok X1, ok X2) -> U102#(X1, X2)) } STATUS: arrows: 0.894954 SCCS (63): Scc: {top# mark X -> top# proper X, top# ok X -> top# active X} Scc: { active# U102(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1, active# U103 X -> active# X, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> active# X1, active# U112 X -> active# X, active# U111(X1, X2) -> active# X1, active# U122 X -> active# X, active# U121(X1, X2) -> active# X1, active# U132(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> active# X1, active# U133 X -> active# X, active# U142(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> active# X1, active# U143 X -> active# X, active# U152(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> active# X1, active# U153 X -> active# X, active# cons(X1, X2) -> active# X1, active# natsFrom X -> active# X, active# s X -> active# X, active# U161(X1, X2) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U171(X1, X2, X3) -> 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) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1, active# fst X -> active# X, active# U221(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# U43 X -> active# X, active# U52(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1, active# U53 X -> active# X, active# U62 X -> active# X, active# U61(X1, X2) -> active# X1, active# U72 X -> active# X, active# U71(X1, X2) -> active# X1, active# U82 X -> active# X, active# U81(X1, X2) -> active# X1, active# U92 X -> active# X, active# U91(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1, active# tail X -> active# X, active# take(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2} Scc: { proper# U102(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2, proper# isNatural X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3, proper# U103 X -> proper# X, proper# isLNat X -> proper# X, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# U112 X -> proper# X, proper# U111(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2, proper# U122 X -> proper# X, proper# U121(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3, proper# U133 X -> proper# X, proper# U142(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3, proper# U143 X -> proper# X, proper# U152(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3, proper# U153 X -> proper# X, 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# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3, 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) -> proper# X1, proper# U202(X1, X2) -> proper# X2, 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# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2, proper# fst X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# U43 X -> proper# X, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3, proper# U53 X -> proper# X, proper# U62 X -> proper# X, proper# isPLNat X -> proper# X, proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2, proper# U72 X -> proper# X, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82 X -> proper# X, proper# U81(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2, proper# U92 X -> proper# X, proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X, proper# isLNatKind X -> proper# X, proper# isPLNatKind 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: { 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: {isPLNatKind# ok X -> isPLNatKind# X} Scc: {isLNatKind# ok X -> isLNatKind# X} Scc: {isNaturalKind# ok X -> isNaturalKind# X} Scc: { and#(mark X1, X2) -> and#(X1, X2), and#(ok X1, ok X2) -> and#(X1, X2)} Scc: { U91#(mark X1, X2) -> U91#(X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2)} Scc: {U92# mark X -> U92# X, U92# ok X -> U92# X} Scc: { U81#(mark X1, X2) -> U81#(X1, X2), U81#(ok X1, ok X2) -> U81#(X1, X2)} Scc: {U82# mark X -> U82# X, U82# ok X -> U82# X} Scc: { U71#(mark X1, X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2)} Scc: {U72# mark X -> U72# X, U72# ok X -> U72# X} Scc: { U61#(mark X1, X2) -> U61#(X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2)} Scc: {isPLNat# ok X -> isPLNat# X} Scc: {U62# mark X -> U62# X, U62# ok X -> U62# X} Scc: {U53# mark X -> U53# X, U53# ok X -> U53# X} Scc: { U51#(mark X1, X2, X3) -> U51#(X1, X2, X3), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3)} Scc: {U43# mark X -> U43# X, U43# ok X -> U43# X} Scc: { U41#(mark X1, X2, X3) -> U41#(X1, X2, X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)} Scc: { U31#(mark X1, X2) -> U31#(X1, X2), U31#(ok X1, ok X2) -> U31#(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: { U211#(mark X1, X2) -> U211#(X1, X2), U211#(ok X1, ok X2) -> U211#(X1, X2)} Scc: { U21#(mark X1, X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(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: { U202#(mark X1, X2) -> U202#(X1, X2), U202#(ok X1, ok X2) -> U202#(X1, X2)} Scc: { U191#(mark X1, X2) -> U191#(X1, X2), U191#(ok X1, ok X2) -> U191#(X1, X2)} Scc: { pair#(X1, mark X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2), pair#(ok X1, ok X2) -> pair#(X1, X2)} Scc: { U181#(mark X1, X2) -> U181#(X1, X2), U181#(ok X1, ok X2) -> U181#(X1, X2)} 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: { U161#(mark X1, X2) -> U161#(X1, X2), U161#(ok X1, ok X2) -> U161#(X1, X2)} Scc: {s# mark X -> s# X, s# ok X -> s# X} Scc: {natsFrom# mark X -> natsFrom# X, natsFrom# ok X -> natsFrom# X} Scc: { cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)} Scc: {U153# mark X -> U153# X, U153# ok X -> U153# X} Scc: { U151#(mark X1, X2, X3) -> U151#(X1, X2, X3), U151#(ok X1, ok X2, ok X3) -> U151#(X1, X2, X3)} Scc: {U143# mark X -> U143# X, U143# ok X -> U143# X} Scc: { U141#(mark X1, X2, X3) -> U141#(X1, X2, X3), U141#(ok X1, ok X2, ok X3) -> U141#(X1, X2, X3)} Scc: {U133# mark X -> U133# X, U133# ok X -> U133# X} Scc: { U131#(mark X1, X2, X3) -> U131#(X1, X2, X3), U131#(ok X1, ok X2, ok X3) -> U131#(X1, X2, X3)} Scc: { U121#(mark X1, X2) -> U121#(X1, X2), U121#(ok X1, ok X2) -> U121#(X1, X2)} Scc: {U122# mark X -> U122# X, U122# ok X -> U122# X} Scc: { U111#(mark X1, X2) -> U111#(X1, X2), U111#(ok X1, ok X2) -> U111#(X1, X2)} Scc: {U112# mark X -> U112# X, U112# ok X -> U112# 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: {isLNat# ok X -> isLNat# X} Scc: {U103# mark X -> U103# X, U103# ok X -> U103# X} Scc: { U101#(mark X1, X2, X3) -> U101#(X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)} Scc: {isNatural# ok X -> isNatural# X} Scc: { U52#(mark X1, X2) -> U52#(X1, X2), U52#(ok X1, ok X2) -> U52#(X1, X2)} Scc: { U42#(mark X1, X2) -> U42#(X1, X2), U42#(ok X1, ok X2) -> U42#(X1, X2)} Scc: { U152#(mark X1, X2) -> U152#(X1, X2), U152#(ok X1, ok X2) -> U152#(X1, X2)} Scc: { U142#(mark X1, X2) -> U142#(X1, X2), U142#(ok X1, ok X2) -> U142#(X1, X2)} Scc: { U132#(mark X1, X2) -> U132#(X1, X2), U132#(ok X1, ok X2) -> U132#(X1, X2)} Scc: { U102#(mark X1, X2) -> U102#(X1, X2), U102#(ok X1, ok X2) -> U102#(X1, X2)} SCC (2): Strict: {top# mark X -> top# proper X, top# ok X -> top# active X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 (59): Strict: { active# U102(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1, active# U103 X -> active# X, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> active# X1, active# U112 X -> active# X, active# U111(X1, X2) -> active# X1, active# U122 X -> active# X, active# U121(X1, X2) -> active# X1, active# U132(X1, X2) -> active# X1, active# U131(X1, X2, X3) -> active# X1, active# U133 X -> active# X, active# U142(X1, X2) -> active# X1, active# U141(X1, X2, X3) -> active# X1, active# U143 X -> active# X, active# U152(X1, X2) -> active# X1, active# U151(X1, X2, X3) -> active# X1, active# U153 X -> active# X, active# cons(X1, X2) -> active# X1, active# natsFrom X -> active# X, active# s X -> active# X, active# U161(X1, X2) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U171(X1, X2, X3) -> 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) -> active# X1, active# U201(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2) -> active# X1, active# U211(X1, X2) -> active# X1, active# fst X -> active# X, active# U221(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# U43 X -> active# X, active# U52(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1, active# U53 X -> active# X, active# U62 X -> active# X, active# U61(X1, X2) -> active# X1, active# U72 X -> active# X, active# U71(X1, X2) -> active# X1, active# U82 X -> active# X, active# U81(X1, X2) -> active# X1, active# U92 X -> active# X, active# U91(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1, active# tail X -> active# X, active# take(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 (107): Strict: { proper# U102(X1, X2) -> proper# X1, proper# U102(X1, X2) -> proper# X2, proper# isNatural X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3, proper# U103 X -> proper# X, proper# isLNat X -> proper# X, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# U112 X -> proper# X, proper# U111(X1, X2) -> proper# X1, proper# U111(X1, X2) -> proper# X2, proper# U122 X -> proper# X, proper# U121(X1, X2) -> proper# X1, proper# U121(X1, X2) -> proper# X2, proper# U132(X1, X2) -> proper# X1, proper# U132(X1, X2) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X1, proper# U131(X1, X2, X3) -> proper# X2, proper# U131(X1, X2, X3) -> proper# X3, proper# U133 X -> proper# X, proper# U142(X1, X2) -> proper# X1, proper# U142(X1, X2) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X1, proper# U141(X1, X2, X3) -> proper# X2, proper# U141(X1, X2, X3) -> proper# X3, proper# U143 X -> proper# X, proper# U152(X1, X2) -> proper# X1, proper# U152(X1, X2) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X1, proper# U151(X1, X2, X3) -> proper# X2, proper# U151(X1, X2, X3) -> proper# X3, proper# U153 X -> proper# X, 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# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X1, proper# U171(X1, X2, X3) -> proper# X2, proper# U171(X1, X2, X3) -> proper# X3, 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) -> proper# X1, proper# U202(X1, X2) -> proper# X2, 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# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U211(X1, X2) -> proper# X1, proper# U211(X1, X2) -> proper# X2, proper# fst X -> proper# X, proper# U221(X1, X2, X3) -> proper# X1, proper# U221(X1, X2, X3) -> proper# X2, proper# U221(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2) -> proper# X1, proper# U42(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# U43 X -> proper# X, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3, proper# U53 X -> proper# X, proper# U62 X -> proper# X, proper# isPLNat X -> proper# X, proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2, proper# U72 X -> proper# X, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82 X -> proper# X, proper# U81(X1, X2) -> proper# X1, proper# U81(X1, X2) -> proper# X2, proper# U92 X -> proper# X, proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2, proper# isNaturalKind X -> proper# X, proper# isLNatKind X -> proper# X, proper# isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {isPLNatKind# ok X -> isPLNatKind# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {isLNatKind# ok X -> isLNatKind# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {isNaturalKind# ok X -> isNaturalKind# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X } Open SCC (2): Strict: { and#(mark X1, X2) -> and#(X1, X2), and#(ok X1, ok X2) -> and#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X } Open SCC (2): Strict: { U91#(mark X1, X2) -> U91#(X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {U92# mark X -> U92# X, U92# ok X -> U92# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X } Open SCC (2): Strict: { U81#(mark X1, X2) -> U81#(X1, X2), U81#(ok X1, ok X2) -> U81#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X } Open SCC (2): Strict: {U82# mark X -> U82# X, U82# ok X -> U82# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X } Open SCC (2): Strict: { U71#(mark X1, X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {U72# mark X -> U72# X, U72# ok X -> U72# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X } Open SCC (2): Strict: { U61#(mark X1, X2) -> U61#(X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {U62# mark X -> U62# X, U62# ok X -> U62# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {U53# mark X -> U53# X, U53# ok X -> U53# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X } Open SCC (2): Strict: { U51#(mark X1, X2, X3) -> U51#(X1, X2, X3), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {U43# mark X -> U43# X, U43# ok X -> U43# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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, X3) -> U41#(X1, X2, X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X } Open SCC (2): Strict: { U31#(mark X1, X2) -> U31#(X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X } Open SCC (2): Strict: { U21#(mark X1, X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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) -> U202#(X1, X2), U202#(ok X1, ok X2) -> U202#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {U153# mark X -> U153# X, U153# ok X -> U153# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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, X3) -> U151#(X1, X2, X3), U151#(ok X1, ok X2, ok X3) -> U151#(X1, X2, X3)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {U143# mark X -> U143# X, U143# ok X -> U143# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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, X3) -> U141#(X1, X2, X3), U141#(ok X1, ok X2, ok X3) -> U141#(X1, X2, X3)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {U133# mark X -> U133# X, U133# ok X -> U133# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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, X3) -> U131#(X1, X2, X3), U131#(ok X1, ok X2, ok X3) -> U131#(X1, X2, X3)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> U121#(X1, X2), U121#(ok X1, ok X2) -> U121#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {U122# mark X -> U122# X, U122# ok X -> U122# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> U111#(X1, X2), U111#(ok X1, ok X2) -> U111#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {U112# mark X -> U112# X, U112# ok X -> U112# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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: {U103# mark X -> U103# X, U103# ok X -> U103# X} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X } Open SCC (2): Strict: { U101#(mark X1, X2, X3) -> U101#(X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> U52#(X1, X2), U52#(ok X1, ok X2) -> U52#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> U42#(X1, X2), U42#(ok X1, ok X2) -> U42#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> U152#(X1, X2), U152#(ok X1, ok X2) -> U152#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> U142#(X1, X2), U142#(ok X1, ok X2) -> U142#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> U132#(X1, X2), U132#(ok X1, ok X2) -> U132#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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 X1, X2) -> U102#(X1, X2), U102#(ok X1, ok X2) -> U102#(X1, X2)} Weak: { U102(mark X1, X2) -> mark U102(X1, X2), U102(ok X1, ok X2) -> ok U102(X1, X2), isNatural ok X -> ok isNatural X, active U102(X1, X2) -> U102(active X1, X2), active U102(tt(), V2) -> mark U103 isLNat V2, active isNatural s V1 -> mark U121(isNaturalKind V1, V1), active isNatural head V1 -> mark U111(isLNatKind V1, V1), active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark U131(and(isNaturalKind V1, isLNatKind V2), V1, V2), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), V1, V2) -> mark U102(isNatural V1, V2), active U103 X -> U103 active X, active U103 tt() -> mark tt(), active isLNat snd V1 -> mark U81(isPLNatKind V1, V1), active isLNat cons(V1, V2) -> mark U51(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat natsFrom V1 -> mark U71(isNaturalKind V1, V1), active isLNat afterNth(V1, V2) -> mark U41(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isLNat nil() -> mark tt(), active isLNat fst V1 -> mark U61(isPLNatKind V1, V1), active isLNat tail V1 -> mark U91(isLNatKind V1, V1), active isLNat take(V1, V2) -> mark U101(and(isNaturalKind V1, isLNatKind V2), V1, V2), active snd X -> snd active X, active snd pair(X, Y) -> mark U181(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), 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(and(and(isNatural N, isNaturalKind N), and(and(isNatural X, isNaturalKind X), and(isLNat XS, isLNatKind XS))), N, X, XS), active splitAt(0(), XS) -> mark U191(and(isLNat XS, isLNatKind XS), XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U112 X -> U112 active X, active U112 tt() -> mark tt(), active U111(X1, X2) -> U111(active X1, X2), active U111(tt(), V1) -> mark U112 isLNat V1, active U122 X -> U122 active X, active U122 tt() -> mark tt(), active U121(X1, X2) -> U121(active X1, X2), active U121(tt(), V1) -> mark U122 isNatural V1, active U132(X1, X2) -> U132(active X1, X2), active U132(tt(), V2) -> mark U133 isLNat V2, active U131(X1, X2, X3) -> U131(active X1, X2, X3), active U131(tt(), V1, V2) -> mark U132(isNatural V1, V2), active U133 X -> U133 active X, active U133 tt() -> mark tt(), active U142(X1, X2) -> U142(active X1, X2), active U142(tt(), V2) -> mark U143 isLNat V2, active U141(X1, X2, X3) -> U141(active X1, X2, X3), active U141(tt(), V1, V2) -> mark U142(isLNat V1, V2), active U143 X -> U143 active X, active U143 tt() -> mark tt(), active U152(X1, X2) -> U152(active X1, X2), active U152(tt(), V2) -> mark U153 isLNat V2, active U151(X1, X2, X3) -> U151(active X1, X2, X3), active U151(tt(), V1, V2) -> mark U152(isNatural V1, V2), active U153 X -> U153 active X, active U153 tt() -> mark tt(), active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U161(and(isNatural N, isNaturalKind 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 head X -> head active X, active head cons(N, XS) -> mark U31(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N), active afterNth(N, XS) -> mark U11(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U171(X1, X2, X3) -> U171(active X1, X2, X3), active U171(tt(), N, XS) -> mark head afterNth(N, XS), active U181(X1, X2) -> U181(active X1, X2), active U181(tt(), Y) -> mark 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) -> U202(active X1, X2), active U202(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U201(X1, X2, X3, X4) -> U201(active X1, X2, X3, X4), active U201(tt(), N, X, XS) -> mark U202(splitAt(N, XS), X), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U211(X1, X2) -> U211(active X1, X2), active U211(tt(), XS) -> mark XS, active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(and(isLNat X, isLNatKind X), and(isLNat Y, isLNatKind Y)), X), active U221(X1, X2, X3) -> U221(active X1, X2, X3), active U221(tt(), N, XS) -> mark fst splitAt(N, XS), active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active U42(X1, X2) -> U42(active X1, X2), active U42(tt(), V2) -> mark U43 isLNat V2, active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), V1, V2) -> mark U42(isNatural V1, V2), active U43 X -> U43 active X, active U43 tt() -> mark tt(), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), V2) -> mark U53 isLNat V2, active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), V1, V2) -> mark U52(isNatural V1, V2), active U53 X -> U53 active X, active U53 tt() -> mark tt(), active U62 X -> U62 active X, active U62 tt() -> mark tt(), active isPLNat splitAt(V1, V2) -> mark U151(and(isNaturalKind V1, isLNatKind V2), V1, V2), active isPLNat pair(V1, V2) -> mark U141(and(isLNatKind V1, isLNatKind V2), V1, V2), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), V1) -> mark U62 isPLNat V1, active U72 X -> U72 active X, active U72 tt() -> mark tt(), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), V1) -> mark U72 isNatural V1, active U82 X -> U82 active X, active U82 tt() -> mark tt(), active U81(X1, X2) -> U81(active X1, X2), active U81(tt(), V1) -> mark U82 isPLNat V1, active U92 X -> U92 active X, active U92 tt() -> mark tt(), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), V1) -> mark U92 isLNat V1, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNaturalKind s V1 -> mark isNaturalKind V1, active isNaturalKind head V1 -> mark isLNatKind V1, active isNaturalKind 0() -> mark tt(), active isNaturalKind sel(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind snd V1 -> mark isPLNatKind V1, active isLNatKind cons(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind natsFrom V1 -> mark isNaturalKind V1, active isLNatKind afterNth(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isLNatKind nil() -> mark tt(), active isLNatKind fst V1 -> mark isPLNatKind V1, active isLNatKind tail V1 -> mark isLNatKind V1, active isLNatKind take(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind splitAt(V1, V2) -> mark and(isNaturalKind V1, isLNatKind V2), active isPLNatKind pair(V1, V2) -> mark and(isLNatKind V1, isLNatKind V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U211(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), XS), active take(N, XS) -> mark U221(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U171(and(and(isNatural N, isNaturalKind N), and(isLNat XS, isLNatKind XS)), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), U103 mark X -> mark U103 X, U103 ok X -> ok U103 X, isLNat ok X -> ok isLNat 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), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U112 mark X -> mark U112 X, U112 ok X -> ok U112 X, U111(mark X1, X2) -> mark U111(X1, X2), U111(ok X1, ok X2) -> ok U111(X1, X2), U122 mark X -> mark U122 X, U122 ok X -> ok U122 X, U121(mark X1, X2) -> mark U121(X1, X2), U121(ok X1, ok X2) -> ok U121(X1, X2), U132(mark X1, X2) -> mark U132(X1, X2), U132(ok X1, ok X2) -> ok U132(X1, X2), U131(mark X1, X2, X3) -> mark U131(X1, X2, X3), U131(ok X1, ok X2, ok X3) -> ok U131(X1, X2, X3), U133 mark X -> mark U133 X, U133 ok X -> ok U133 X, U142(mark X1, X2) -> mark U142(X1, X2), U142(ok X1, ok X2) -> ok U142(X1, X2), U141(mark X1, X2, X3) -> mark U141(X1, X2, X3), U141(ok X1, ok X2, ok X3) -> ok U141(X1, X2, X3), U143 mark X -> mark U143 X, U143 ok X -> ok U143 X, U152(mark X1, X2) -> mark U152(X1, X2), U152(ok X1, ok X2) -> ok U152(X1, X2), U151(mark X1, X2, X3) -> mark U151(X1, X2, X3), U151(ok X1, ok X2, ok X3) -> ok U151(X1, X2, X3), U153 mark X -> mark U153 X, U153 ok X -> ok U153 X, 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), 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), U171(mark X1, X2, X3) -> mark U171(X1, X2, X3), U171(ok X1, ok X2, ok X3) -> ok U171(X1, X2, X3), 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) -> mark U202(X1, X2), U202(ok X1, ok X2) -> ok U202(X1, X2), 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), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U211(mark X1, X2) -> mark U211(X1, X2), U211(ok X1, ok X2) -> ok U211(X1, X2), fst mark X -> mark fst X, fst ok X -> ok fst X, U221(mark X1, X2, X3) -> mark U221(X1, X2, X3), U221(ok X1, ok X2, ok X3) -> ok U221(X1, X2, X3), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2) -> mark U42(X1, X2), U42(ok X1, ok X2) -> ok U42(X1, X2), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), U43 mark X -> mark U43 X, U43 ok X -> ok U43 X, U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U53 mark X -> mark U53 X, U53 ok X -> ok U53 X, U62 mark X -> mark U62 X, U62 ok X -> ok U62 X, isPLNat ok X -> ok isPLNat X, U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(X1, X2), U72 mark X -> mark U72 X, U72 ok X -> ok U72 X, U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82 mark X -> mark U82 X, U82 ok X -> ok U82 X, U81(mark X1, X2) -> mark U81(X1, X2), U81(ok X1, ok X2) -> ok U81(X1, X2), U92 mark X -> mark U92 X, U92 ok X -> ok U92 X, U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNaturalKind ok X -> ok isNaturalKind X, isLNatKind ok X -> ok isLNatKind X, isPLNatKind ok X -> ok isPLNatKind 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(X1, X2) -> U102(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U103 X -> U103 proper X, proper isLNat X -> isLNat proper X, proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U112 X -> U112 proper X, proper U111(X1, X2) -> U111(proper X1, proper X2), proper U122 X -> U122 proper X, proper U121(X1, X2) -> U121(proper X1, proper X2), proper U132(X1, X2) -> U132(proper X1, proper X2), proper U131(X1, X2, X3) -> U131(proper X1, proper X2, proper X3), proper U133 X -> U133 proper X, proper U142(X1, X2) -> U142(proper X1, proper X2), proper U141(X1, X2, X3) -> U141(proper X1, proper X2, proper X3), proper U143 X -> U143 proper X, proper U152(X1, X2) -> U152(proper X1, proper X2), proper U151(X1, X2, X3) -> U151(proper X1, proper X2, proper X3), proper U153 X -> U153 proper X, 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 head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U171(X1, X2, X3) -> U171(proper X1, proper X2, proper X3), 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) -> U202(proper X1, proper X2), proper U201(X1, X2, X3, X4) -> U201(proper X1, proper X2, proper X3, proper X4), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U211(X1, X2) -> U211(proper X1, proper X2), proper fst X -> fst proper X, proper U221(X1, X2, X3) -> U221(proper X1, proper X2, proper X3), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2) -> U42(proper X1, proper X2), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper U43 X -> U43 proper X, proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U53 X -> U53 proper X, proper U62 X -> U62 proper X, proper isPLNat X -> isPLNat proper X, proper U61(X1, X2) -> U61(proper X1, proper X2), proper U72 X -> U72 proper X, proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82 X -> U82 proper X, proper U81(X1, X2) -> U81(proper X1, proper X2), proper U92 X -> U92 proper X, proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNaturalKind X -> isNaturalKind proper X, proper isLNatKind X -> isLNatKind proper X, proper isPLNatKind X -> isPLNatKind 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