Problem Transformed CSR 04 PEANO nosorts noand GM

Tool Bounds

Execution Time	60.056423ms
Answer	TIMEOUT
Input	Transformed CSR 04 PEANO nosorts noand GM

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  a__plus(X1, X2) -> plus(X1, X2)
     , a__U12(X1, X2, X3) -> U12(X1, X2, X3)
     , a__U11(X1, X2, X3) -> U11(X1, X2, X3)
     , mark(0()) -> 0()
     , mark(s(X)) -> s(mark(X))
     , mark(tt()) -> tt()
     , mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2))
     , mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3)
     , mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3)
     , a__plus(N, s(M)) -> a__U11(tt(), M, N)
     , a__plus(N, 0()) -> mark(N)
     , a__U12(tt(), M, N) -> s(a__plus(mark(N), mark(M)))
     , a__U11(tt(), M, N) -> a__U12(tt(), M, N)}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time	6.007339ms
Answer	MAYBE
Input	Transformed CSR 04 PEANO nosorts noand GM

stdout:

MAYBE

Statistics:
Number of monomials: 1347
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	55.251633ms
Answer	MAYBE
Input	Transformed CSR 04 PEANO nosorts noand GM

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  a__plus(X1, X2) -> plus(X1, X2)
     , a__U12(X1, X2, X3) -> U12(X1, X2, X3)
     , a__U11(X1, X2, X3) -> U11(X1, X2, X3)
     , mark(0()) -> 0()
     , mark(s(X)) -> s(mark(X))
     , mark(tt()) -> tt()
     , mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2))
     , mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3)
     , mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3)
     , a__plus(N, s(M)) -> a__U11(tt(), M, N)
     , a__plus(N, 0()) -> mark(N)
     , a__U12(tt(), M, N) -> s(a__plus(mark(N), mark(M)))
     , a__U11(tt(), M, N) -> a__U12(tt(), M, N)}
  StartTerms: all
  Strategy: none

Certificate: MAYBE

Proof:
  None of the processors succeeded.

  Details of failed attempt(s):
  -----------------------------
    1) 'matrix-interpretation of dimension 4' failed due to the following reason:
         The input cannot be shown compatible

    2) 'matrix-interpretation of dimension 3' failed due to the following reason:
         The input cannot be shown compatible

    3) 'matrix-interpretation of dimension 2' failed due to the following reason:
         The input cannot be shown compatible

    4) 'matrix-interpretation of dimension 1' failed due to the following reason:
         The input cannot be shown compatible


Arrrr..

Tool IDA

Execution Time	36.693527ms
Answer	MAYBE
Input	Transformed CSR 04 PEANO nosorts noand GM

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  a__plus(X1, X2) -> plus(X1, X2)
     , a__U12(X1, X2, X3) -> U12(X1, X2, X3)
     , a__U11(X1, X2, X3) -> U11(X1, X2, X3)
     , mark(0()) -> 0()
     , mark(s(X)) -> s(mark(X))
     , mark(tt()) -> tt()
     , mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2))
     , mark(U12(X1, X2, X3)) -> a__U12(mark(X1), X2, X3)
     , mark(U11(X1, X2, X3)) -> a__U11(mark(X1), X2, X3)
     , a__plus(N, s(M)) -> a__U11(tt(), M, N)
     , a__plus(N, 0()) -> mark(N)
     , a__U12(tt(), M, N) -> s(a__plus(mark(N), mark(M)))
     , a__U11(tt(), M, N) -> a__U12(tt(), M, N)}
  StartTerms: all
  Strategy: none

Certificate: MAYBE

Proof:
  None of the processors succeeded.

  Details of failed attempt(s):
  -----------------------------
    1) 'matrix-interpretation of dimension 3' failed due to the following reason:
         The input cannot be shown compatible

    2) 'matrix-interpretation of dimension 3' failed due to the following reason:
         The input cannot be shown compatible

    3) 'matrix-interpretation of dimension 3' failed due to the following reason:
         The input cannot be shown compatible

    4) 'matrix-interpretation of dimension 2' failed due to the following reason:
         The input cannot be shown compatible

    5) 'matrix-interpretation of dimension 2' failed due to the following reason:
         The input cannot be shown compatible

    6) 'matrix-interpretation of dimension 1' failed due to the following reason:
         The input cannot be shown compatible


Arrrr..

Tool TRI

Execution Time	60.03682ms
Answer	TIMEOUT
Input	Transformed CSR 04 PEANO nosorts noand GM

stdout:

Tool TRI2

Execution Time	0.24477506ms
Answer	MAYBE
Input	Transformed CSR 04 PEANO nosorts noand GM