Problem Transformed CSR 04 PEANO nosorts GM

Tool Bounds

Execution Time	60.06849ms
Answer	TIMEOUT
Input	Transformed CSR 04 PEANO nosorts GM

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  a__plus(X1, X2) -> plus(X1, X2)
     , a__and(X1, X2) -> and(X1, X2)
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , mark(tt()) -> tt()
     , mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2))
     , mark(and(X1, X2)) -> a__and(mark(X1), X2)
     , a__plus(N, s(M)) -> s(a__plus(mark(N), mark(M)))
     , a__plus(N, 0()) -> mark(N)
     , a__and(tt(), X) -> mark(X)}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time	4.4245996ms
Answer	MAYBE
Input	Transformed CSR 04 PEANO nosorts GM

stdout:

MAYBE

Statistics:
Number of monomials: 931
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	53.162098ms
Answer	MAYBE
Input	Transformed CSR 04 PEANO nosorts GM

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  a__plus(X1, X2) -> plus(X1, X2)
     , a__and(X1, X2) -> and(X1, X2)
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , mark(tt()) -> tt()
     , mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2))
     , mark(and(X1, X2)) -> a__and(mark(X1), X2)
     , a__plus(N, s(M)) -> s(a__plus(mark(N), mark(M)))
     , a__plus(N, 0()) -> mark(N)
     , a__and(tt(), X) -> mark(X)}
  StartTerms: all
  Strategy: none

Certificate: MAYBE

Proof:
  None of the processors succeeded.

  Details of failed attempt(s):
  -----------------------------
    1) 'matrix-interpretation of dimension 5' failed due to the following reason:
         The input cannot be shown compatible

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


Arrrr..

Tool IDA

Execution Time	23.38477ms
Answer	MAYBE
Input	Transformed CSR 04 PEANO nosorts GM

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  a__plus(X1, X2) -> plus(X1, X2)
     , a__and(X1, X2) -> and(X1, X2)
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , mark(tt()) -> tt()
     , mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2))
     , mark(and(X1, X2)) -> a__and(mark(X1), X2)
     , a__plus(N, s(M)) -> s(a__plus(mark(N), mark(M)))
     , a__plus(N, 0()) -> mark(N)
     , a__and(tt(), X) -> mark(X)}
  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	7.767076ms
Answer	MAYBE
Input	Transformed CSR 04 PEANO nosorts GM

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  a__plus(X1, X2) -> plus(X1, X2)
     , a__and(X1, X2) -> and(X1, X2)
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , mark(tt()) -> tt()
     , mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2))
     , mark(and(X1, X2)) -> a__and(mark(X1), X2)
     , a__plus(N, s(M)) -> s(a__plus(mark(N), mark(M)))
     , a__plus(N, 0()) -> mark(N)
     , a__and(tt(), X) -> mark(X)}
  StartTerms: all
  Strategy: none

Certificate: MAYBE

Proof:
  None of the processors succeeded.

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

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

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

    4) 'matrix-interpretation of dimension 3' 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 TRI2

Execution Time	0.20440793ms
Answer	MAYBE
Input	Transformed CSR 04 PEANO nosorts GM