Problem Maude 06 LengthOfFiniteLists complete-noand

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Maude 06 LengthOfFiniteLists complete-noand

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Maude 06 LengthOfFiniteLists complete-noand

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  zeros() -> cons(0(), zeros())
     , U11(tt(), V1) -> U12(isNatIListKind(V1), V1)
     , U12(tt(), V1) -> U13(isNatList(V1))
     , U13(tt()) -> tt()
     , U21(tt(), V1) -> U22(isNatKind(V1), V1)
     , U22(tt(), V1) -> U23(isNat(V1))
     , U23(tt()) -> tt()
     , U31(tt(), V) -> U32(isNatIListKind(V), V)
     , U32(tt(), V) -> U33(isNatList(V))
     , U33(tt()) -> tt()
     , U41(tt(), V1, V2) -> U42(isNatKind(V1), V1, V2)
     , U42(tt(), V1, V2) -> U43(isNatIListKind(V2), V1, V2)
     , U43(tt(), V1, V2) -> U44(isNatIListKind(V2), V1, V2)
     , U44(tt(), V1, V2) -> U45(isNat(V1), V2)
     , U45(tt(), V2) -> U46(isNatIList(V2))
     , U46(tt()) -> tt()
     , U51(tt(), V2) -> U52(isNatIListKind(V2))
     , U52(tt()) -> tt()
     , U61(tt()) -> tt()
     , U71(tt()) -> tt()
     , U81(tt(), V1, V2) -> U82(isNatKind(V1), V1, V2)
     , U82(tt(), V1, V2) -> U83(isNatIListKind(V2), V1, V2)
     , U83(tt(), V1, V2) -> U84(isNatIListKind(V2), V1, V2)
     , U84(tt(), V1, V2) -> U85(isNat(V1), V2)
     , U85(tt(), V2) -> U86(isNatList(V2))
     , U86(tt()) -> tt()
     , U91(tt(), L, N) -> U92(isNatIListKind(L), L, N)
     , U92(tt(), L, N) -> U93(isNat(N), L, N)
     , U93(tt(), L, N) -> U94(isNatKind(N), L)
     , U94(tt(), L) -> s(length(L))
     , isNat(0()) -> tt()
     , isNat(length(V1)) -> U11(isNatIListKind(V1), V1)
     , isNat(s(V1)) -> U21(isNatKind(V1), V1)
     , isNatIList(V) -> U31(isNatIListKind(V), V)
     , isNatIList(zeros()) -> tt()
     , isNatIList(cons(V1, V2)) -> U41(isNatKind(V1), V1, V2)
     , isNatIListKind(nil()) -> tt()
     , isNatIListKind(zeros()) -> tt()
     , isNatIListKind(cons(V1, V2)) -> U51(isNatKind(V1), V2)
     , isNatKind(0()) -> tt()
     , isNatKind(length(V1)) -> U61(isNatIListKind(V1))
     , isNatKind(s(V1)) -> U71(isNatKind(V1))
     , isNatList(nil()) -> tt()
     , isNatList(cons(V1, V2)) -> U81(isNatKind(V1), V1, V2)
     , length(nil()) -> 0()
     , length(cons(N, L)) -> U91(isNatList(L), L, N)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Maude 06 LengthOfFiniteLists complete-noand

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Maude 06 LengthOfFiniteLists complete-noand

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  zeros() -> cons(0(), zeros())
     , U11(tt(), V1) -> U12(isNatIListKind(V1), V1)
     , U12(tt(), V1) -> U13(isNatList(V1))
     , U13(tt()) -> tt()
     , U21(tt(), V1) -> U22(isNatKind(V1), V1)
     , U22(tt(), V1) -> U23(isNat(V1))
     , U23(tt()) -> tt()
     , U31(tt(), V) -> U32(isNatIListKind(V), V)
     , U32(tt(), V) -> U33(isNatList(V))
     , U33(tt()) -> tt()
     , U41(tt(), V1, V2) -> U42(isNatKind(V1), V1, V2)
     , U42(tt(), V1, V2) -> U43(isNatIListKind(V2), V1, V2)
     , U43(tt(), V1, V2) -> U44(isNatIListKind(V2), V1, V2)
     , U44(tt(), V1, V2) -> U45(isNat(V1), V2)
     , U45(tt(), V2) -> U46(isNatIList(V2))
     , U46(tt()) -> tt()
     , U51(tt(), V2) -> U52(isNatIListKind(V2))
     , U52(tt()) -> tt()
     , U61(tt()) -> tt()
     , U71(tt()) -> tt()
     , U81(tt(), V1, V2) -> U82(isNatKind(V1), V1, V2)
     , U82(tt(), V1, V2) -> U83(isNatIListKind(V2), V1, V2)
     , U83(tt(), V1, V2) -> U84(isNatIListKind(V2), V1, V2)
     , U84(tt(), V1, V2) -> U85(isNat(V1), V2)
     , U85(tt(), V2) -> U86(isNatList(V2))
     , U86(tt()) -> tt()
     , U91(tt(), L, N) -> U92(isNatIListKind(L), L, N)
     , U92(tt(), L, N) -> U93(isNat(N), L, N)
     , U93(tt(), L, N) -> U94(isNatKind(N), L)
     , U94(tt(), L) -> s(length(L))
     , isNat(0()) -> tt()
     , isNat(length(V1)) -> U11(isNatIListKind(V1), V1)
     , isNat(s(V1)) -> U21(isNatKind(V1), V1)
     , isNatIList(V) -> U31(isNatIListKind(V), V)
     , isNatIList(zeros()) -> tt()
     , isNatIList(cons(V1, V2)) -> U41(isNatKind(V1), V1, V2)
     , isNatIListKind(nil()) -> tt()
     , isNatIListKind(zeros()) -> tt()
     , isNatIListKind(cons(V1, V2)) -> U51(isNatKind(V1), V2)
     , isNatKind(0()) -> tt()
     , isNatKind(length(V1)) -> U61(isNatIListKind(V1))
     , isNatKind(s(V1)) -> U71(isNatKind(V1))
     , isNatList(nil()) -> tt()
     , isNatList(cons(V1, V2)) -> U81(isNatKind(V1), V1, V2)
     , length(nil()) -> 0()
     , length(cons(N, L)) -> U91(isNatList(L), L, N)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds