Problem Strategy outermost added 08 Ex1 Luc04b Z

Tool Bounds

Execution Time	60.032654ms
Answer	TIMEOUT
Input	Strategy outermost added 08 Ex1 Luc04b Z

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__incr(X)) -> incr(X)
     , incr(X) -> n__incr(X)
     , tail(cons(X, XS)) -> activate(XS)
     , head(cons(X, XS)) -> X
     , incr(cons(X, XS)) -> cons(s(X), n__incr(activate(XS)))
     , odds() -> incr(pairs())
     , pairs() -> cons(0(), n__incr(odds()))
     , nats() -> cons(0(), n__incr(nats()))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time	3.952244ms
Answer	MAYBE
Input	Strategy outermost added 08 Ex1 Luc04b Z

stdout:

MAYBE

Statistics:
Number of monomials: 868
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	23.335104ms
Answer	MAYBE
Input	Strategy outermost added 08 Ex1 Luc04b Z

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__incr(X)) -> incr(X)
     , incr(X) -> n__incr(X)
     , tail(cons(X, XS)) -> activate(XS)
     , head(cons(X, XS)) -> X
     , incr(cons(X, XS)) -> cons(s(X), n__incr(activate(XS)))
     , odds() -> incr(pairs())
     , pairs() -> cons(0(), n__incr(odds()))
     , nats() -> cons(0(), n__incr(nats()))}
  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	18.283686ms
Answer	MAYBE
Input	Strategy outermost added 08 Ex1 Luc04b Z

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__incr(X)) -> incr(X)
     , incr(X) -> n__incr(X)
     , tail(cons(X, XS)) -> activate(XS)
     , head(cons(X, XS)) -> X
     , incr(cons(X, XS)) -> cons(s(X), n__incr(activate(XS)))
     , odds() -> incr(pairs())
     , pairs() -> cons(0(), n__incr(odds()))
     , nats() -> cons(0(), n__incr(nats()))}
  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	3.425541ms
Answer	MAYBE
Input	Strategy outermost added 08 Ex1 Luc04b Z

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__incr(X)) -> incr(X)
     , incr(X) -> n__incr(X)
     , tail(cons(X, XS)) -> activate(XS)
     , head(cons(X, XS)) -> X
     , incr(cons(X, XS)) -> cons(s(X), n__incr(activate(XS)))
     , odds() -> incr(pairs())
     , pairs() -> cons(0(), n__incr(odds()))
     , nats() -> cons(0(), n__incr(nats()))}
  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	0.16961288ms
Answer	MAYBE
Input	Strategy outermost added 08 Ex1 Luc04b Z