Problem Strategy outermost added 08 ExIntrod GM01

Tool Bounds

Execution Time	60.045006ms
Answer	TIMEOUT
Input	Strategy outermost added 08 ExIntrod GM01

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  tail(cons(X, L)) -> L
     , head(cons(X, L)) -> X
     , zeros() -> cons(0(), zeros())
     , nats() -> adx(zeros())
     , adx(cons(X, L)) -> incr(cons(X, adx(L)))
     , adx(nil()) -> nil()
     , incr(cons(X, L)) -> cons(s(X), incr(L))
     , incr(nil()) -> nil()}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time	1.1719079ms
Answer	MAYBE
Input	Strategy outermost added 08 ExIntrod GM01

stdout:

MAYBE

Statistics:
Number of monomials: 470
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	23.862284ms
Answer	MAYBE
Input	Strategy outermost added 08 ExIntrod GM01

stdout:

Tool IDA

Execution Time	30.866665ms
Answer	MAYBE
Input	Strategy outermost added 08 ExIntrod GM01

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  tail(cons(X, L)) -> L
     , head(cons(X, L)) -> X
     , zeros() -> cons(0(), zeros())
     , nats() -> adx(zeros())
     , adx(cons(X, L)) -> incr(cons(X, adx(L)))
     , adx(nil()) -> nil()
     , incr(cons(X, L)) -> cons(s(X), incr(L))
     , incr(nil()) -> nil()}
  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 4' 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 4' failed due to the following reason:
         The input cannot be shown compatible

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

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

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

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

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

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


Arrrr..

Tool TRI

Execution Time	2.9337661ms
Answer	MAYBE
Input	Strategy outermost added 08 ExIntrod GM01

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  tail(cons(X, L)) -> L
     , head(cons(X, L)) -> X
     , zeros() -> cons(0(), zeros())
     , nats() -> adx(zeros())
     , adx(cons(X, L)) -> incr(cons(X, adx(L)))
     , adx(nil()) -> nil()
     , incr(cons(X, L)) -> cons(s(X), incr(L))
     , incr(nil()) -> nil()}
  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	0.18583608ms
Answer	MAYBE
Input	Strategy outermost added 08 ExIntrod GM01