Problem Maude 06 LISTUTILITIES nokinds-noand

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Maude 06 LISTUTILITIES nokinds-noand

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Maude 06 LISTUTILITIES nokinds-noand

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  U101(tt(), V2) -> U102(isLNat(V2))
     , U102(tt()) -> tt()
     , U11(tt(), N, XS) -> U12(isLNat(XS), N, XS)
     , U111(tt()) -> tt()
     , U12(tt(), N, XS) -> snd(splitAt(N, XS))
     , U121(tt()) -> tt()
     , U131(tt(), V2) -> U132(isLNat(V2))
     , U132(tt()) -> tt()
     , U141(tt(), V2) -> U142(isLNat(V2))
     , U142(tt()) -> tt()
     , U151(tt(), V2) -> U152(isLNat(V2))
     , U152(tt()) -> tt()
     , U161(tt(), N) -> cons(N, natsFrom(s(N)))
     , U171(tt(), N, XS) -> U172(isLNat(XS), N, XS)
     , U172(tt(), N, XS) -> head(afterNth(N, XS))
     , U181(tt(), Y) -> U182(isLNat(Y), Y)
     , U182(tt(), Y) -> Y
     , U191(tt(), XS) -> pair(nil(), XS)
     , U201(tt(), N, X, XS) -> U202(isNatural(X), N, X, XS)
     , U202(tt(), N, X, XS) -> U203(isLNat(XS), N, X, XS)
     , U203(tt(), N, X, XS) -> U204(splitAt(N, XS), X)
     , U204(pair(YS, ZS), X) -> pair(cons(X, YS), ZS)
     , U21(tt(), X, Y) -> U22(isLNat(Y), X)
     , U211(tt(), XS) -> U212(isLNat(XS), XS)
     , U212(tt(), XS) -> XS
     , U22(tt(), X) -> X
     , U221(tt(), N, XS) -> U222(isLNat(XS), N, XS)
     , U222(tt(), N, XS) -> fst(splitAt(N, XS))
     , U31(tt(), N, XS) -> U32(isLNat(XS), N)
     , U32(tt(), N) -> N
     , U41(tt(), V2) -> U42(isLNat(V2))
     , U42(tt()) -> tt()
     , U51(tt(), V2) -> U52(isLNat(V2))
     , U52(tt()) -> tt()
     , U61(tt()) -> tt()
     , U71(tt()) -> tt()
     , U81(tt()) -> tt()
     , U91(tt()) -> tt()
     , afterNth(N, XS) -> U11(isNatural(N), N, XS)
     , fst(pair(X, Y)) -> U21(isLNat(X), X, Y)
     , head(cons(N, XS)) -> U31(isNatural(N), N, XS)
     , isLNat(nil()) -> tt()
     , isLNat(afterNth(V1, V2)) -> U41(isNatural(V1), V2)
     , isLNat(cons(V1, V2)) -> U51(isNatural(V1), V2)
     , isLNat(fst(V1)) -> U61(isPLNat(V1))
     , isLNat(natsFrom(V1)) -> U71(isNatural(V1))
     , isLNat(snd(V1)) -> U81(isPLNat(V1))
     , isLNat(tail(V1)) -> U91(isLNat(V1))
     , isLNat(take(V1, V2)) -> U101(isNatural(V1), V2)
     , isNatural(0()) -> tt()
     , isNatural(head(V1)) -> U111(isLNat(V1))
     , isNatural(s(V1)) -> U121(isNatural(V1))
     , isNatural(sel(V1, V2)) -> U131(isNatural(V1), V2)
     , isPLNat(pair(V1, V2)) -> U141(isLNat(V1), V2)
     , isPLNat(splitAt(V1, V2)) -> U151(isNatural(V1), V2)
     , natsFrom(N) -> U161(isNatural(N), N)
     , sel(N, XS) -> U171(isNatural(N), N, XS)
     , snd(pair(X, Y)) -> U181(isLNat(X), Y)
     , splitAt(0(), XS) -> U191(isLNat(XS), XS)
     , splitAt(s(N), cons(X, XS)) -> U201(isNatural(N), N, X, XS)
     , tail(cons(N, XS)) -> U211(isNatural(N), XS)
     , take(N, XS) -> U221(isNatural(N), N, XS)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Maude 06 LISTUTILITIES nokinds-noand

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Maude 06 LISTUTILITIES nokinds-noand

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  U101(tt(), V2) -> U102(isLNat(V2))
     , U102(tt()) -> tt()
     , U11(tt(), N, XS) -> U12(isLNat(XS), N, XS)
     , U111(tt()) -> tt()
     , U12(tt(), N, XS) -> snd(splitAt(N, XS))
     , U121(tt()) -> tt()
     , U131(tt(), V2) -> U132(isLNat(V2))
     , U132(tt()) -> tt()
     , U141(tt(), V2) -> U142(isLNat(V2))
     , U142(tt()) -> tt()
     , U151(tt(), V2) -> U152(isLNat(V2))
     , U152(tt()) -> tt()
     , U161(tt(), N) -> cons(N, natsFrom(s(N)))
     , U171(tt(), N, XS) -> U172(isLNat(XS), N, XS)
     , U172(tt(), N, XS) -> head(afterNth(N, XS))
     , U181(tt(), Y) -> U182(isLNat(Y), Y)
     , U182(tt(), Y) -> Y
     , U191(tt(), XS) -> pair(nil(), XS)
     , U201(tt(), N, X, XS) -> U202(isNatural(X), N, X, XS)
     , U202(tt(), N, X, XS) -> U203(isLNat(XS), N, X, XS)
     , U203(tt(), N, X, XS) -> U204(splitAt(N, XS), X)
     , U204(pair(YS, ZS), X) -> pair(cons(X, YS), ZS)
     , U21(tt(), X, Y) -> U22(isLNat(Y), X)
     , U211(tt(), XS) -> U212(isLNat(XS), XS)
     , U212(tt(), XS) -> XS
     , U22(tt(), X) -> X
     , U221(tt(), N, XS) -> U222(isLNat(XS), N, XS)
     , U222(tt(), N, XS) -> fst(splitAt(N, XS))
     , U31(tt(), N, XS) -> U32(isLNat(XS), N)
     , U32(tt(), N) -> N
     , U41(tt(), V2) -> U42(isLNat(V2))
     , U42(tt()) -> tt()
     , U51(tt(), V2) -> U52(isLNat(V2))
     , U52(tt()) -> tt()
     , U61(tt()) -> tt()
     , U71(tt()) -> tt()
     , U81(tt()) -> tt()
     , U91(tt()) -> tt()
     , afterNth(N, XS) -> U11(isNatural(N), N, XS)
     , fst(pair(X, Y)) -> U21(isLNat(X), X, Y)
     , head(cons(N, XS)) -> U31(isNatural(N), N, XS)
     , isLNat(nil()) -> tt()
     , isLNat(afterNth(V1, V2)) -> U41(isNatural(V1), V2)
     , isLNat(cons(V1, V2)) -> U51(isNatural(V1), V2)
     , isLNat(fst(V1)) -> U61(isPLNat(V1))
     , isLNat(natsFrom(V1)) -> U71(isNatural(V1))
     , isLNat(snd(V1)) -> U81(isPLNat(V1))
     , isLNat(tail(V1)) -> U91(isLNat(V1))
     , isLNat(take(V1, V2)) -> U101(isNatural(V1), V2)
     , isNatural(0()) -> tt()
     , isNatural(head(V1)) -> U111(isLNat(V1))
     , isNatural(s(V1)) -> U121(isNatural(V1))
     , isNatural(sel(V1, V2)) -> U131(isNatural(V1), V2)
     , isPLNat(pair(V1, V2)) -> U141(isLNat(V1), V2)
     , isPLNat(splitAt(V1, V2)) -> U151(isNatural(V1), V2)
     , natsFrom(N) -> U161(isNatural(N), N)
     , sel(N, XS) -> U171(isNatural(N), N, XS)
     , snd(pair(X, Y)) -> U181(isLNat(X), Y)
     , splitAt(0(), XS) -> U191(isLNat(XS), XS)
     , splitAt(s(N), cons(X, XS)) -> U201(isNatural(N), N, X, XS)
     , tail(cons(N, XS)) -> U211(isNatural(N), XS)
     , take(N, XS) -> U221(isNatural(N), N, XS)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds