Problem Strategy outermost added 08 ExIntrod GM01 Z

Tool Bounds

Execution Time	60.04585ms
Answer	TIMEOUT
Input	Strategy outermost added 08 ExIntrod GM01 Z

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__zeros()) -> zeros()
     , activate(n__adx(X)) -> adx(X)
     , activate(n__incr(X)) -> incr(X)
     , zeros() -> n__zeros()
     , adx(X) -> n__adx(X)
     , incr(X) -> n__incr(X)
     , tail(cons(X, L)) -> activate(L)
     , head(cons(X, L)) -> X
     , zeros() -> cons(0(), n__zeros())
     , nats() -> adx(zeros())
     , adx(cons(X, L)) -> incr(cons(X, n__adx(activate(L))))
     , adx(nil()) -> nil()
     , incr(cons(X, L)) -> cons(s(X), n__incr(activate(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	10.704631ms
Answer	MAYBE
Input	Strategy outermost added 08 ExIntrod GM01 Z

stdout:

MAYBE

Statistics:
Number of monomials: 1388
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	57.38236ms
Answer	MAYBE
Input	Strategy outermost added 08 ExIntrod GM01 Z

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__zeros()) -> zeros()
     , activate(n__adx(X)) -> adx(X)
     , activate(n__incr(X)) -> incr(X)
     , zeros() -> n__zeros()
     , adx(X) -> n__adx(X)
     , incr(X) -> n__incr(X)
     , tail(cons(X, L)) -> activate(L)
     , head(cons(X, L)) -> X
     , zeros() -> cons(0(), n__zeros())
     , nats() -> adx(zeros())
     , adx(cons(X, L)) -> incr(cons(X, n__adx(activate(L))))
     , adx(nil()) -> nil()
     , incr(cons(X, L)) -> cons(s(X), n__incr(activate(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 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	33.933907ms
Answer	MAYBE
Input	Strategy outermost added 08 ExIntrod GM01 Z

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__zeros()) -> zeros()
     , activate(n__adx(X)) -> adx(X)
     , activate(n__incr(X)) -> incr(X)
     , zeros() -> n__zeros()
     , adx(X) -> n__adx(X)
     , incr(X) -> n__incr(X)
     , tail(cons(X, L)) -> activate(L)
     , head(cons(X, L)) -> X
     , zeros() -> cons(0(), n__zeros())
     , nats() -> adx(zeros())
     , adx(cons(X, L)) -> incr(cons(X, n__adx(activate(L))))
     , adx(nil()) -> nil()
     , incr(cons(X, L)) -> cons(s(X), n__incr(activate(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 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	7.470508ms
Answer	MAYBE
Input	Strategy outermost added 08 ExIntrod GM01 Z

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__zeros()) -> zeros()
     , activate(n__adx(X)) -> adx(X)
     , activate(n__incr(X)) -> incr(X)
     , zeros() -> n__zeros()
     , adx(X) -> n__adx(X)
     , incr(X) -> n__incr(X)
     , tail(cons(X, L)) -> activate(L)
     , head(cons(X, L)) -> X
     , zeros() -> cons(0(), n__zeros())
     , nats() -> adx(zeros())
     , adx(cons(X, L)) -> incr(cons(X, n__adx(activate(L))))
     , adx(nil()) -> nil()
     , incr(cons(X, L)) -> cons(s(X), n__incr(activate(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	0.25159597ms
Answer	MAYBE
Input	Strategy outermost added 08 ExIntrod GM01 Z