Problem Maude 06 MYNAT complete

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Maude 06 MYNAT complete

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Maude 06 MYNAT complete

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  U11(tt(), V1, V2) -> U12(isNat(V1), V2)
     , U12(tt(), V2) -> U13(isNat(V2))
     , U13(tt()) -> tt()
     , U21(tt(), V1) -> U22(isNat(V1))
     , U22(tt()) -> tt()
     , U31(tt(), V1, V2) -> U32(isNat(V1), V2)
     , U32(tt(), V2) -> U33(isNat(V2))
     , U33(tt()) -> tt()
     , U41(tt(), N) -> N
     , U51(tt(), M, N) -> s(plus(N, M))
     , U61(tt()) -> 0()
     , U71(tt(), M, N) -> plus(x(N, M), N)
     , and(tt(), X) -> X
     , isNat(0()) -> tt()
     , isNat(plus(V1, V2)) ->
       U11(and(isNatKind(V1), isNatKind(V2)), V1, V2)
     , isNat(s(V1)) -> U21(isNatKind(V1), V1)
     , isNat(x(V1, V2)) ->
       U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)
     , isNatKind(0()) -> tt()
     , isNatKind(plus(V1, V2)) -> and(isNatKind(V1), isNatKind(V2))
     , isNatKind(s(V1)) -> isNatKind(V1)
     , isNatKind(x(V1, V2)) -> and(isNatKind(V1), isNatKind(V2))
     , plus(N, 0()) -> U41(and(isNat(N), isNatKind(N)), N)
     , plus(N, s(M)) ->
       U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))),
           M,
           N)
     , x(N, 0()) -> U61(and(isNat(N), isNatKind(N)))
     , x(N, s(M)) ->
       U71(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))),
           M,
           N)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Maude 06 MYNAT complete

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Maude 06 MYNAT complete

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  U11(tt(), V1, V2) -> U12(isNat(V1), V2)
     , U12(tt(), V2) -> U13(isNat(V2))
     , U13(tt()) -> tt()
     , U21(tt(), V1) -> U22(isNat(V1))
     , U22(tt()) -> tt()
     , U31(tt(), V1, V2) -> U32(isNat(V1), V2)
     , U32(tt(), V2) -> U33(isNat(V2))
     , U33(tt()) -> tt()
     , U41(tt(), N) -> N
     , U51(tt(), M, N) -> s(plus(N, M))
     , U61(tt()) -> 0()
     , U71(tt(), M, N) -> plus(x(N, M), N)
     , and(tt(), X) -> X
     , isNat(0()) -> tt()
     , isNat(plus(V1, V2)) ->
       U11(and(isNatKind(V1), isNatKind(V2)), V1, V2)
     , isNat(s(V1)) -> U21(isNatKind(V1), V1)
     , isNat(x(V1, V2)) ->
       U31(and(isNatKind(V1), isNatKind(V2)), V1, V2)
     , isNatKind(0()) -> tt()
     , isNatKind(plus(V1, V2)) -> and(isNatKind(V1), isNatKind(V2))
     , isNatKind(s(V1)) -> isNatKind(V1)
     , isNatKind(x(V1, V2)) -> and(isNatKind(V1), isNatKind(V2))
     , plus(N, 0()) -> U41(and(isNat(N), isNatKind(N)), N)
     , plus(N, s(M)) ->
       U51(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))),
           M,
           N)
     , x(N, 0()) -> U61(and(isNat(N), isNatKind(N)))
     , x(N, s(M)) ->
       U71(and(and(isNat(M), isNatKind(M)), and(isNat(N), isNatKind(N))),
           M,
           N)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds