MAYBE 936.09/297.21 MAYBE 936.09/297.21 936.09/297.21 We are left with following problem, upon which TcT provides the 936.09/297.21 certificate MAYBE. 936.09/297.21 936.09/297.21 Strict Trs: 936.09/297.21 { active(U101(X1, X2)) -> U101(active(X1), X2) 936.09/297.21 , active(U101(tt(), V2)) -> mark(U102(isLNat(V2))) 936.09/297.21 , active(U102(X)) -> U102(active(X)) 936.09/297.21 , active(U102(tt())) -> mark(tt()) 936.09/297.21 , active(isLNat(snd(V1))) -> mark(U81(isPLNat(V1))) 936.09/297.21 , active(isLNat(cons(V1, V2))) -> mark(U51(isNatural(V1), V2)) 936.09/297.21 , active(isLNat(natsFrom(V1))) -> mark(U71(isNatural(V1))) 936.09/297.21 , active(isLNat(afterNth(V1, V2))) -> mark(U41(isNatural(V1), V2)) 936.09/297.21 , active(isLNat(nil())) -> mark(tt()) 936.09/297.21 , active(isLNat(fst(V1))) -> mark(U61(isPLNat(V1))) 936.09/297.21 , active(isLNat(tail(V1))) -> mark(U91(isLNat(V1))) 936.09/297.21 , active(isLNat(take(V1, V2))) -> mark(U101(isNatural(V1), V2)) 936.09/297.21 , active(U11(X1, X2, X3)) -> U11(active(X1), X2, X3) 936.09/297.21 , active(U11(tt(), N, XS)) -> mark(U12(isLNat(XS), N, XS)) 936.09/297.21 , active(U12(X1, X2, X3)) -> U12(active(X1), X2, X3) 936.09/297.21 , active(U12(tt(), N, XS)) -> mark(snd(splitAt(N, XS))) 936.09/297.21 , active(U111(X)) -> U111(active(X)) 936.09/297.21 , active(U111(tt())) -> mark(tt()) 936.09/297.21 , active(snd(X)) -> snd(active(X)) 936.09/297.21 , active(snd(pair(X, Y))) -> mark(U181(isLNat(X), Y)) 936.09/297.21 , active(splitAt(X1, X2)) -> splitAt(X1, active(X2)) 936.09/297.21 , active(splitAt(X1, X2)) -> splitAt(active(X1), X2) 936.09/297.21 , active(splitAt(s(N), cons(X, XS))) -> 936.09/297.21 mark(U201(isNatural(N), N, X, XS)) 936.09/297.21 , active(splitAt(0(), XS)) -> mark(U191(isLNat(XS), XS)) 936.09/297.21 , active(U121(X)) -> U121(active(X)) 936.09/297.21 , active(U121(tt())) -> mark(tt()) 936.09/297.21 , active(U131(X1, X2)) -> U131(active(X1), X2) 936.09/297.21 , active(U131(tt(), V2)) -> mark(U132(isLNat(V2))) 936.09/297.21 , active(U132(X)) -> U132(active(X)) 936.09/297.21 , active(U132(tt())) -> mark(tt()) 936.09/297.21 , active(U141(X1, X2)) -> U141(active(X1), X2) 936.09/297.21 , active(U141(tt(), V2)) -> mark(U142(isLNat(V2))) 936.09/297.21 , active(U142(X)) -> U142(active(X)) 936.09/297.21 , active(U142(tt())) -> mark(tt()) 936.09/297.21 , active(U151(X1, X2)) -> U151(active(X1), X2) 936.09/297.21 , active(U151(tt(), V2)) -> mark(U152(isLNat(V2))) 936.09/297.21 , active(U152(X)) -> U152(active(X)) 936.09/297.21 , active(U152(tt())) -> mark(tt()) 936.09/297.21 , active(U161(X1, X2)) -> U161(active(X1), X2) 936.09/297.22 , active(U161(tt(), N)) -> mark(cons(N, natsFrom(s(N)))) 936.09/297.22 , active(cons(X1, X2)) -> cons(active(X1), X2) 936.09/297.22 , active(natsFrom(N)) -> mark(U161(isNatural(N), N)) 936.09/297.22 , active(natsFrom(X)) -> natsFrom(active(X)) 936.09/297.22 , active(s(X)) -> s(active(X)) 936.09/297.22 , active(U171(X1, X2, X3)) -> U171(active(X1), X2, X3) 936.09/297.22 , active(U171(tt(), N, XS)) -> mark(U172(isLNat(XS), N, XS)) 936.09/297.22 , active(U172(X1, X2, X3)) -> U172(active(X1), X2, X3) 936.09/297.22 , active(U172(tt(), N, XS)) -> mark(head(afterNth(N, XS))) 936.09/297.22 , active(head(X)) -> head(active(X)) 936.09/297.22 , active(head(cons(N, XS))) -> mark(U31(isNatural(N), N, XS)) 936.09/297.22 , active(afterNth(N, XS)) -> mark(U11(isNatural(N), N, XS)) 936.09/297.22 , active(afterNth(X1, X2)) -> afterNth(X1, active(X2)) 936.09/297.22 , active(afterNth(X1, X2)) -> afterNth(active(X1), X2) 936.09/297.22 , active(U181(X1, X2)) -> U181(active(X1), X2) 936.09/297.22 , active(U181(tt(), Y)) -> mark(U182(isLNat(Y), Y)) 936.09/297.22 , active(U182(X1, X2)) -> U182(active(X1), X2) 936.09/297.22 , active(U182(tt(), Y)) -> mark(Y) 936.09/297.22 , active(U191(X1, X2)) -> U191(active(X1), X2) 936.09/297.22 , active(U191(tt(), XS)) -> mark(pair(nil(), XS)) 936.09/297.22 , active(pair(X1, X2)) -> pair(X1, active(X2)) 936.09/297.22 , active(pair(X1, X2)) -> pair(active(X1), X2) 936.09/297.22 , active(U201(X1, X2, X3, X4)) -> U201(active(X1), X2, X3, X4) 936.09/297.22 , active(U201(tt(), N, X, XS)) -> 936.09/297.22 mark(U202(isNatural(X), N, X, XS)) 936.09/297.22 , active(U202(X1, X2, X3, X4)) -> U202(active(X1), X2, X3, X4) 936.09/297.22 , active(U202(tt(), N, X, XS)) -> mark(U203(isLNat(XS), N, X, XS)) 936.09/297.22 , active(isNatural(s(V1))) -> mark(U121(isNatural(V1))) 936.09/297.22 , active(isNatural(head(V1))) -> mark(U111(isLNat(V1))) 936.09/297.22 , active(isNatural(0())) -> mark(tt()) 936.09/297.22 , active(isNatural(sel(V1, V2))) -> mark(U131(isNatural(V1), V2)) 936.09/297.22 , active(U203(X1, X2, X3, X4)) -> U203(active(X1), X2, X3, X4) 936.09/297.22 , active(U203(tt(), N, X, XS)) -> mark(U204(splitAt(N, XS), X)) 936.09/297.22 , active(U204(X1, X2)) -> U204(active(X1), X2) 936.09/297.22 , active(U204(pair(YS, ZS), X)) -> mark(pair(cons(X, YS), ZS)) 936.09/297.22 , active(U21(X1, X2, X3)) -> U21(active(X1), X2, X3) 936.09/297.22 , active(U21(tt(), X, Y)) -> mark(U22(isLNat(Y), X)) 936.09/297.22 , active(U22(X1, X2)) -> U22(active(X1), X2) 936.09/297.22 , active(U22(tt(), X)) -> mark(X) 936.09/297.22 , active(U211(X1, X2)) -> U211(active(X1), X2) 936.09/297.22 , active(U211(tt(), XS)) -> mark(U212(isLNat(XS), XS)) 936.09/297.22 , active(U212(X1, X2)) -> U212(active(X1), X2) 936.09/297.22 , active(U212(tt(), XS)) -> mark(XS) 936.09/297.22 , active(U221(X1, X2, X3)) -> U221(active(X1), X2, X3) 936.09/297.22 , active(U221(tt(), N, XS)) -> mark(U222(isLNat(XS), N, XS)) 936.09/297.22 , active(U222(X1, X2, X3)) -> U222(active(X1), X2, X3) 936.09/297.22 , active(U222(tt(), N, XS)) -> mark(fst(splitAt(N, XS))) 936.09/297.22 , active(fst(X)) -> fst(active(X)) 936.09/297.22 , active(fst(pair(X, Y))) -> mark(U21(isLNat(X), X, Y)) 936.09/297.22 , active(U31(X1, X2, X3)) -> U31(active(X1), X2, X3) 936.09/297.22 , active(U31(tt(), N, XS)) -> mark(U32(isLNat(XS), N)) 936.09/297.22 , active(U32(X1, X2)) -> U32(active(X1), X2) 936.09/297.22 , active(U32(tt(), N)) -> mark(N) 936.09/297.22 , active(U41(X1, X2)) -> U41(active(X1), X2) 936.09/297.22 , active(U41(tt(), V2)) -> mark(U42(isLNat(V2))) 936.09/297.22 , active(U42(X)) -> U42(active(X)) 936.09/297.22 , active(U42(tt())) -> mark(tt()) 936.09/297.22 , active(U51(X1, X2)) -> U51(active(X1), X2) 936.09/297.22 , active(U51(tt(), V2)) -> mark(U52(isLNat(V2))) 936.09/297.22 , active(U52(X)) -> U52(active(X)) 936.09/297.22 , active(U52(tt())) -> mark(tt()) 936.09/297.22 , active(U61(X)) -> U61(active(X)) 936.09/297.22 , active(U61(tt())) -> mark(tt()) 936.09/297.22 , active(U71(X)) -> U71(active(X)) 936.09/297.22 , active(U71(tt())) -> mark(tt()) 936.09/297.22 , active(U81(X)) -> U81(active(X)) 936.09/297.22 , active(U81(tt())) -> mark(tt()) 936.09/297.22 , active(U91(X)) -> U91(active(X)) 936.09/297.22 , active(U91(tt())) -> mark(tt()) 936.09/297.22 , active(isPLNat(splitAt(V1, V2))) -> mark(U151(isNatural(V1), V2)) 936.09/297.22 , active(isPLNat(pair(V1, V2))) -> mark(U141(isLNat(V1), V2)) 936.09/297.22 , active(tail(X)) -> tail(active(X)) 936.09/297.22 , active(tail(cons(N, XS))) -> mark(U211(isNatural(N), XS)) 936.09/297.22 , active(take(N, XS)) -> mark(U221(isNatural(N), N, XS)) 936.09/297.22 , active(take(X1, X2)) -> take(X1, active(X2)) 936.09/297.22 , active(take(X1, X2)) -> take(active(X1), X2) 936.09/297.22 , active(sel(N, XS)) -> mark(U171(isNatural(N), N, XS)) 936.09/297.22 , active(sel(X1, X2)) -> sel(X1, active(X2)) 936.09/297.22 , active(sel(X1, X2)) -> sel(active(X1), X2) 936.09/297.22 , U101(mark(X1), X2) -> mark(U101(X1, X2)) 936.09/297.22 , U101(ok(X1), ok(X2)) -> ok(U101(X1, X2)) 936.09/297.22 , U102(mark(X)) -> mark(U102(X)) 936.09/297.22 , U102(ok(X)) -> ok(U102(X)) 936.09/297.22 , isLNat(ok(X)) -> ok(isLNat(X)) 936.09/297.22 , U11(mark(X1), X2, X3) -> mark(U11(X1, X2, X3)) 936.09/297.22 , U11(ok(X1), ok(X2), ok(X3)) -> ok(U11(X1, X2, X3)) 936.09/297.22 , U12(mark(X1), X2, X3) -> mark(U12(X1, X2, X3)) 936.09/297.22 , U12(ok(X1), ok(X2), ok(X3)) -> ok(U12(X1, X2, X3)) 936.09/297.22 , U111(mark(X)) -> mark(U111(X)) 936.09/297.22 , U111(ok(X)) -> ok(U111(X)) 936.09/297.22 , snd(mark(X)) -> mark(snd(X)) 936.09/297.22 , snd(ok(X)) -> ok(snd(X)) 936.09/297.22 , splitAt(X1, mark(X2)) -> mark(splitAt(X1, X2)) 936.09/297.22 , splitAt(mark(X1), X2) -> mark(splitAt(X1, X2)) 936.09/297.22 , splitAt(ok(X1), ok(X2)) -> ok(splitAt(X1, X2)) 936.09/297.22 , U121(mark(X)) -> mark(U121(X)) 936.09/297.22 , U121(ok(X)) -> ok(U121(X)) 936.09/297.22 , U131(mark(X1), X2) -> mark(U131(X1, X2)) 936.09/297.22 , U131(ok(X1), ok(X2)) -> ok(U131(X1, X2)) 936.09/297.22 , U132(mark(X)) -> mark(U132(X)) 936.09/297.22 , U132(ok(X)) -> ok(U132(X)) 936.09/297.22 , U141(mark(X1), X2) -> mark(U141(X1, X2)) 936.09/297.22 , U141(ok(X1), ok(X2)) -> ok(U141(X1, X2)) 936.09/297.22 , U142(mark(X)) -> mark(U142(X)) 936.09/297.22 , U142(ok(X)) -> ok(U142(X)) 936.09/297.22 , U151(mark(X1), X2) -> mark(U151(X1, X2)) 936.09/297.22 , U151(ok(X1), ok(X2)) -> ok(U151(X1, X2)) 936.09/297.22 , U152(mark(X)) -> mark(U152(X)) 936.09/297.22 , U152(ok(X)) -> ok(U152(X)) 936.09/297.22 , U161(mark(X1), X2) -> mark(U161(X1, X2)) 936.09/297.22 , U161(ok(X1), ok(X2)) -> ok(U161(X1, X2)) 936.09/297.22 , cons(mark(X1), X2) -> mark(cons(X1, X2)) 936.09/297.22 , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) 936.09/297.22 , natsFrom(mark(X)) -> mark(natsFrom(X)) 936.09/297.22 , natsFrom(ok(X)) -> ok(natsFrom(X)) 936.09/297.22 , s(mark(X)) -> mark(s(X)) 936.09/297.22 , s(ok(X)) -> ok(s(X)) 936.09/297.22 , U171(mark(X1), X2, X3) -> mark(U171(X1, X2, X3)) 936.09/297.22 , U171(ok(X1), ok(X2), ok(X3)) -> ok(U171(X1, X2, X3)) 936.09/297.22 , U172(mark(X1), X2, X3) -> mark(U172(X1, X2, X3)) 936.09/297.22 , U172(ok(X1), ok(X2), ok(X3)) -> ok(U172(X1, X2, X3)) 936.09/297.22 , head(mark(X)) -> mark(head(X)) 936.09/297.22 , head(ok(X)) -> ok(head(X)) 936.09/297.22 , afterNth(X1, mark(X2)) -> mark(afterNth(X1, X2)) 936.09/297.22 , afterNth(mark(X1), X2) -> mark(afterNth(X1, X2)) 936.09/297.22 , afterNth(ok(X1), ok(X2)) -> ok(afterNth(X1, X2)) 936.09/297.22 , U181(mark(X1), X2) -> mark(U181(X1, X2)) 936.09/297.22 , U181(ok(X1), ok(X2)) -> ok(U181(X1, X2)) 936.09/297.22 , U182(mark(X1), X2) -> mark(U182(X1, X2)) 936.09/297.22 , U182(ok(X1), ok(X2)) -> ok(U182(X1, X2)) 936.09/297.22 , U191(mark(X1), X2) -> mark(U191(X1, X2)) 936.09/297.22 , U191(ok(X1), ok(X2)) -> ok(U191(X1, X2)) 936.09/297.22 , pair(X1, mark(X2)) -> mark(pair(X1, X2)) 936.09/297.22 , pair(mark(X1), X2) -> mark(pair(X1, X2)) 936.09/297.22 , pair(ok(X1), ok(X2)) -> ok(pair(X1, X2)) 936.09/297.22 , U201(mark(X1), X2, X3, X4) -> mark(U201(X1, X2, X3, X4)) 936.09/297.22 , U201(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U201(X1, X2, X3, X4)) 936.09/297.22 , U202(mark(X1), X2, X3, X4) -> mark(U202(X1, X2, X3, X4)) 936.09/297.22 , U202(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U202(X1, X2, X3, X4)) 936.09/297.22 , isNatural(ok(X)) -> ok(isNatural(X)) 936.09/297.22 , U203(mark(X1), X2, X3, X4) -> mark(U203(X1, X2, X3, X4)) 936.09/297.22 , U203(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U203(X1, X2, X3, X4)) 936.09/297.22 , U204(mark(X1), X2) -> mark(U204(X1, X2)) 936.09/297.22 , U204(ok(X1), ok(X2)) -> ok(U204(X1, X2)) 936.09/297.22 , U21(mark(X1), X2, X3) -> mark(U21(X1, X2, X3)) 936.09/297.22 , U21(ok(X1), ok(X2), ok(X3)) -> ok(U21(X1, X2, X3)) 936.09/297.22 , U22(mark(X1), X2) -> mark(U22(X1, X2)) 936.09/297.22 , U22(ok(X1), ok(X2)) -> ok(U22(X1, X2)) 936.09/297.22 , U211(mark(X1), X2) -> mark(U211(X1, X2)) 936.09/297.22 , U211(ok(X1), ok(X2)) -> ok(U211(X1, X2)) 936.09/297.22 , U212(mark(X1), X2) -> mark(U212(X1, X2)) 936.09/297.22 , U212(ok(X1), ok(X2)) -> ok(U212(X1, X2)) 936.09/297.22 , U221(mark(X1), X2, X3) -> mark(U221(X1, X2, X3)) 936.09/297.22 , U221(ok(X1), ok(X2), ok(X3)) -> ok(U221(X1, X2, X3)) 936.09/297.22 , U222(mark(X1), X2, X3) -> mark(U222(X1, X2, X3)) 936.09/297.22 , U222(ok(X1), ok(X2), ok(X3)) -> ok(U222(X1, X2, X3)) 936.09/297.22 , fst(mark(X)) -> mark(fst(X)) 936.09/297.22 , fst(ok(X)) -> ok(fst(X)) 936.09/297.22 , U31(mark(X1), X2, X3) -> mark(U31(X1, X2, X3)) 936.09/297.22 , U31(ok(X1), ok(X2), ok(X3)) -> ok(U31(X1, X2, X3)) 936.09/297.22 , U32(mark(X1), X2) -> mark(U32(X1, X2)) 936.09/297.22 , U32(ok(X1), ok(X2)) -> ok(U32(X1, X2)) 936.09/297.22 , U41(mark(X1), X2) -> mark(U41(X1, X2)) 936.09/297.22 , U41(ok(X1), ok(X2)) -> ok(U41(X1, X2)) 936.09/297.22 , U42(mark(X)) -> mark(U42(X)) 936.09/297.22 , U42(ok(X)) -> ok(U42(X)) 936.09/297.22 , U51(mark(X1), X2) -> mark(U51(X1, X2)) 936.09/297.22 , U51(ok(X1), ok(X2)) -> ok(U51(X1, X2)) 936.09/297.22 , U52(mark(X)) -> mark(U52(X)) 936.09/297.22 , U52(ok(X)) -> ok(U52(X)) 936.09/297.22 , U61(mark(X)) -> mark(U61(X)) 936.09/297.22 , U61(ok(X)) -> ok(U61(X)) 936.09/297.22 , U71(mark(X)) -> mark(U71(X)) 936.09/297.22 , U71(ok(X)) -> ok(U71(X)) 936.09/297.22 , U81(mark(X)) -> mark(U81(X)) 936.09/297.22 , U81(ok(X)) -> ok(U81(X)) 936.09/297.22 , U91(mark(X)) -> mark(U91(X)) 936.09/297.22 , U91(ok(X)) -> ok(U91(X)) 936.09/297.22 , isPLNat(ok(X)) -> ok(isPLNat(X)) 936.09/297.22 , tail(mark(X)) -> mark(tail(X)) 936.09/297.22 , tail(ok(X)) -> ok(tail(X)) 936.09/297.22 , take(X1, mark(X2)) -> mark(take(X1, X2)) 936.09/297.22 , take(mark(X1), X2) -> mark(take(X1, X2)) 936.09/297.22 , take(ok(X1), ok(X2)) -> ok(take(X1, X2)) 936.09/297.22 , sel(X1, mark(X2)) -> mark(sel(X1, X2)) 936.09/297.22 , sel(mark(X1), X2) -> mark(sel(X1, X2)) 936.09/297.22 , sel(ok(X1), ok(X2)) -> ok(sel(X1, X2)) 936.09/297.22 , proper(U101(X1, X2)) -> U101(proper(X1), proper(X2)) 936.09/297.22 , proper(tt()) -> ok(tt()) 936.09/297.22 , proper(U102(X)) -> U102(proper(X)) 936.09/297.22 , proper(isLNat(X)) -> isLNat(proper(X)) 936.09/297.22 , proper(U11(X1, X2, X3)) -> 936.09/297.22 U11(proper(X1), proper(X2), proper(X3)) 936.09/297.22 , proper(U12(X1, X2, X3)) -> 936.09/297.22 U12(proper(X1), proper(X2), proper(X3)) 936.09/297.22 , proper(U111(X)) -> U111(proper(X)) 936.09/297.22 , proper(snd(X)) -> snd(proper(X)) 936.09/297.22 , proper(splitAt(X1, X2)) -> splitAt(proper(X1), proper(X2)) 936.09/297.22 , proper(U121(X)) -> U121(proper(X)) 936.09/297.22 , proper(U131(X1, X2)) -> U131(proper(X1), proper(X2)) 936.09/297.22 , proper(U132(X)) -> U132(proper(X)) 936.09/297.22 , proper(U141(X1, X2)) -> U141(proper(X1), proper(X2)) 936.09/297.22 , proper(U142(X)) -> U142(proper(X)) 936.09/297.22 , proper(U151(X1, X2)) -> U151(proper(X1), proper(X2)) 936.09/297.22 , proper(U152(X)) -> U152(proper(X)) 936.09/297.22 , proper(U161(X1, X2)) -> U161(proper(X1), proper(X2)) 936.09/297.22 , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) 936.09/297.22 , proper(natsFrom(X)) -> natsFrom(proper(X)) 936.09/297.22 , proper(s(X)) -> s(proper(X)) 936.09/297.22 , proper(U171(X1, X2, X3)) -> 936.09/297.22 U171(proper(X1), proper(X2), proper(X3)) 936.09/297.22 , proper(U172(X1, X2, X3)) -> 936.09/297.22 U172(proper(X1), proper(X2), proper(X3)) 936.09/297.22 , proper(head(X)) -> head(proper(X)) 936.09/297.22 , proper(afterNth(X1, X2)) -> afterNth(proper(X1), proper(X2)) 936.09/297.22 , proper(U181(X1, X2)) -> U181(proper(X1), proper(X2)) 936.09/297.22 , proper(U182(X1, X2)) -> U182(proper(X1), proper(X2)) 936.09/297.22 , proper(U191(X1, X2)) -> U191(proper(X1), proper(X2)) 936.09/297.22 , proper(pair(X1, X2)) -> pair(proper(X1), proper(X2)) 936.09/297.22 , proper(nil()) -> ok(nil()) 936.09/297.22 , proper(U201(X1, X2, X3, X4)) -> 936.09/297.22 U201(proper(X1), proper(X2), proper(X3), proper(X4)) 936.09/297.22 , proper(U202(X1, X2, X3, X4)) -> 936.09/297.22 U202(proper(X1), proper(X2), proper(X3), proper(X4)) 936.09/297.22 , proper(isNatural(X)) -> isNatural(proper(X)) 936.09/297.22 , proper(U203(X1, X2, X3, X4)) -> 936.09/297.22 U203(proper(X1), proper(X2), proper(X3), proper(X4)) 936.09/297.22 , proper(U204(X1, X2)) -> U204(proper(X1), proper(X2)) 936.09/297.22 , proper(U21(X1, X2, X3)) -> 936.09/297.22 U21(proper(X1), proper(X2), proper(X3)) 936.09/297.22 , proper(U22(X1, X2)) -> U22(proper(X1), proper(X2)) 936.09/297.22 , proper(U211(X1, X2)) -> U211(proper(X1), proper(X2)) 936.09/297.22 , proper(U212(X1, X2)) -> U212(proper(X1), proper(X2)) 936.09/297.22 , proper(U221(X1, X2, X3)) -> 936.09/297.22 U221(proper(X1), proper(X2), proper(X3)) 936.09/297.22 , proper(U222(X1, X2, X3)) -> 936.09/297.22 U222(proper(X1), proper(X2), proper(X3)) 936.09/297.22 , proper(fst(X)) -> fst(proper(X)) 936.09/297.22 , proper(U31(X1, X2, X3)) -> 936.09/297.22 U31(proper(X1), proper(X2), proper(X3)) 936.09/297.22 , proper(U32(X1, X2)) -> U32(proper(X1), proper(X2)) 936.09/297.22 , proper(U41(X1, X2)) -> U41(proper(X1), proper(X2)) 936.09/297.22 , proper(U42(X)) -> U42(proper(X)) 936.09/297.22 , proper(U51(X1, X2)) -> U51(proper(X1), proper(X2)) 936.09/297.22 , proper(U52(X)) -> U52(proper(X)) 936.09/297.22 , proper(U61(X)) -> U61(proper(X)) 936.09/297.22 , proper(U71(X)) -> U71(proper(X)) 936.09/297.22 , proper(U81(X)) -> U81(proper(X)) 936.09/297.22 , proper(U91(X)) -> U91(proper(X)) 936.09/297.22 , proper(isPLNat(X)) -> isPLNat(proper(X)) 936.09/297.22 , proper(tail(X)) -> tail(proper(X)) 936.09/297.22 , proper(take(X1, X2)) -> take(proper(X1), proper(X2)) 936.09/297.22 , proper(0()) -> ok(0()) 936.09/297.22 , proper(sel(X1, X2)) -> sel(proper(X1), proper(X2)) 936.09/297.22 , top(mark(X)) -> top(proper(X)) 936.09/297.22 , top(ok(X)) -> top(active(X)) } 936.09/297.22 Obligation: 936.09/297.22 innermost runtime complexity 936.09/297.22 Answer: 936.09/297.22 MAYBE 936.09/297.22 936.09/297.22 None of the processors succeeded. 936.09/297.22 936.09/297.22 Details of failed attempt(s): 936.09/297.22 ----------------------------- 936.09/297.22 1) 'empty' failed due to the following reason: 936.09/297.22 936.09/297.22 Empty strict component of the problem is NOT empty. 936.09/297.22 936.09/297.22 2) 'Best' failed due to the following reason: 936.09/297.22 936.09/297.22 None of the processors succeeded. 936.09/297.22 936.09/297.22 Details of failed attempt(s): 936.09/297.22 ----------------------------- 936.09/297.22 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 936.09/297.22 following reason: 936.09/297.22 936.09/297.22 Computation stopped due to timeout after 297.0 seconds. 936.09/297.22 936.09/297.22 2) 'Best' failed due to the following reason: 936.09/297.22 936.09/297.22 None of the processors succeeded. 936.09/297.22 936.09/297.22 Details of failed attempt(s): 936.09/297.22 ----------------------------- 936.09/297.22 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 936.09/297.22 seconds)' failed due to the following reason: 936.09/297.22 936.09/297.22 Computation stopped due to timeout after 148.0 seconds. 936.09/297.22 936.09/297.22 2) 'Best' failed due to the following reason: 936.09/297.22 936.09/297.22 None of the processors succeeded. 936.09/297.22 936.09/297.22 Details of failed attempt(s): 936.09/297.22 ----------------------------- 936.09/297.22 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 936.09/297.22 following reason: 936.09/297.22 936.09/297.22 The input cannot be shown compatible 936.09/297.22 936.09/297.22 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 936.09/297.22 to the following reason: 936.09/297.22 936.09/297.22 The input cannot be shown compatible 936.09/297.22 936.09/297.22 936.09/297.22 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 936.09/297.22 failed due to the following reason: 936.09/297.22 936.09/297.22 None of the processors succeeded. 936.09/297.22 936.09/297.22 Details of failed attempt(s): 936.09/297.22 ----------------------------- 936.09/297.22 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 936.09/297.22 failed due to the following reason: 936.09/297.22 936.09/297.22 match-boundness of the problem could not be verified. 936.09/297.22 936.09/297.22 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 936.09/297.22 failed due to the following reason: 936.09/297.22 936.09/297.22 match-boundness of the problem could not be verified. 936.09/297.22 936.09/297.22 936.09/297.22 936.09/297.22 936.09/297.22 936.09/297.22 Arrrr.. 936.09/297.22 EOF