Problem Maude 06 LISTUTILITIES nokinds

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Maude 06 LISTUTILITIES nokinds

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Maude 06 LISTUTILITIES nokinds

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  U101(tt(), N, XS) -> fst(splitAt(N, XS))
     , U11(tt(), N, XS) -> snd(splitAt(N, XS))
     , U21(tt(), X) -> X
     , U31(tt(), N) -> N
     , U41(tt(), N) -> cons(N, natsFrom(s(N)))
     , U51(tt(), N, XS) -> head(afterNth(N, XS))
     , U61(tt(), Y) -> Y
     , U71(tt(), XS) -> pair(nil(), XS)
     , U81(tt(), N, X, XS) -> U82(splitAt(N, XS), X)
     , U82(pair(YS, ZS), X) -> pair(cons(X, YS), ZS)
     , U91(tt(), XS) -> XS
     , afterNth(N, XS) -> U11(and(isNatural(N), isLNat(XS)), N, XS)
     , and(tt(), X) -> X
     , fst(pair(X, Y)) -> U21(and(isLNat(X), isLNat(Y)), X)
     , head(cons(N, XS)) -> U31(and(isNatural(N), isLNat(XS)), N)
     , isLNat(nil()) -> tt()
     , isLNat(afterNth(V1, V2)) -> and(isNatural(V1), isLNat(V2))
     , isLNat(cons(V1, V2)) -> and(isNatural(V1), isLNat(V2))
     , isLNat(fst(V1)) -> isPLNat(V1)
     , isLNat(natsFrom(V1)) -> isNatural(V1)
     , isLNat(snd(V1)) -> isPLNat(V1)
     , isLNat(tail(V1)) -> isLNat(V1)
     , isLNat(take(V1, V2)) -> and(isNatural(V1), isLNat(V2))
     , isNatural(0()) -> tt()
     , isNatural(head(V1)) -> isLNat(V1)
     , isNatural(s(V1)) -> isNatural(V1)
     , isNatural(sel(V1, V2)) -> and(isNatural(V1), isLNat(V2))
     , isPLNat(pair(V1, V2)) -> and(isLNat(V1), isLNat(V2))
     , isPLNat(splitAt(V1, V2)) -> and(isNatural(V1), isLNat(V2))
     , natsFrom(N) -> U41(isNatural(N), N)
     , sel(N, XS) -> U51(and(isNatural(N), isLNat(XS)), N, XS)
     , snd(pair(X, Y)) -> U61(and(isLNat(X), isLNat(Y)), Y)
     , splitAt(0(), XS) -> U71(isLNat(XS), XS)
     , splitAt(s(N), cons(X, XS)) ->
       U81(and(isNatural(N), and(isNatural(X), isLNat(XS))), N, X, XS)
     , tail(cons(N, XS)) -> U91(and(isNatural(N), isLNat(XS)), XS)
     , take(N, XS) -> U101(and(isNatural(N), isLNat(XS)), 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

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Maude 06 LISTUTILITIES nokinds

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  U101(tt(), N, XS) -> fst(splitAt(N, XS))
     , U11(tt(), N, XS) -> snd(splitAt(N, XS))
     , U21(tt(), X) -> X
     , U31(tt(), N) -> N
     , U41(tt(), N) -> cons(N, natsFrom(s(N)))
     , U51(tt(), N, XS) -> head(afterNth(N, XS))
     , U61(tt(), Y) -> Y
     , U71(tt(), XS) -> pair(nil(), XS)
     , U81(tt(), N, X, XS) -> U82(splitAt(N, XS), X)
     , U82(pair(YS, ZS), X) -> pair(cons(X, YS), ZS)
     , U91(tt(), XS) -> XS
     , afterNth(N, XS) -> U11(and(isNatural(N), isLNat(XS)), N, XS)
     , and(tt(), X) -> X
     , fst(pair(X, Y)) -> U21(and(isLNat(X), isLNat(Y)), X)
     , head(cons(N, XS)) -> U31(and(isNatural(N), isLNat(XS)), N)
     , isLNat(nil()) -> tt()
     , isLNat(afterNth(V1, V2)) -> and(isNatural(V1), isLNat(V2))
     , isLNat(cons(V1, V2)) -> and(isNatural(V1), isLNat(V2))
     , isLNat(fst(V1)) -> isPLNat(V1)
     , isLNat(natsFrom(V1)) -> isNatural(V1)
     , isLNat(snd(V1)) -> isPLNat(V1)
     , isLNat(tail(V1)) -> isLNat(V1)
     , isLNat(take(V1, V2)) -> and(isNatural(V1), isLNat(V2))
     , isNatural(0()) -> tt()
     , isNatural(head(V1)) -> isLNat(V1)
     , isNatural(s(V1)) -> isNatural(V1)
     , isNatural(sel(V1, V2)) -> and(isNatural(V1), isLNat(V2))
     , isPLNat(pair(V1, V2)) -> and(isLNat(V1), isLNat(V2))
     , isPLNat(splitAt(V1, V2)) -> and(isNatural(V1), isLNat(V2))
     , natsFrom(N) -> U41(isNatural(N), N)
     , sel(N, XS) -> U51(and(isNatural(N), isLNat(XS)), N, XS)
     , snd(pair(X, Y)) -> U61(and(isLNat(X), isLNat(Y)), Y)
     , splitAt(0(), XS) -> U71(isLNat(XS), XS)
     , splitAt(s(N), cons(X, XS)) ->
       U81(and(isNatural(N), and(isNatural(X), isLNat(XS))), N, X, XS)
     , tail(cons(N, XS)) -> U91(and(isNatural(N), isLNat(XS)), XS)
     , take(N, XS) -> U101(and(isNatural(N), isLNat(XS)), N, XS)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds