Problem Strategy outermost added 08 Ex1 Luc04b FR

Tool Bounds

Execution Time	60.037296ms
Answer	TIMEOUT
Input	Strategy outermost added 08 Ex1 Luc04b FR

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__odds()) -> odds()
     , activate(n__nats()) -> nats()
     , activate(n__incr(X)) -> incr(activate(X))
     , odds() -> n__odds()
     , nats() -> n__nats()
     , 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(n__odds()))
     , nats() -> cons(0(), n__incr(n__nats()))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time	3.766214ms
Answer	MAYBE
Input	Strategy outermost added 08 Ex1 Luc04b FR

stdout:

MAYBE

Statistics:
Number of monomials: 957
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	27.502796ms
Answer	MAYBE
Input	Strategy outermost added 08 Ex1 Luc04b FR

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__odds()) -> odds()
     , activate(n__nats()) -> nats()
     , activate(n__incr(X)) -> incr(activate(X))
     , odds() -> n__odds()
     , nats() -> n__nats()
     , 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(n__odds()))
     , nats() -> cons(0(), n__incr(n__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	17.711538ms
Answer	MAYBE
Input	Strategy outermost added 08 Ex1 Luc04b FR

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__odds()) -> odds()
     , activate(n__nats()) -> nats()
     , activate(n__incr(X)) -> incr(activate(X))
     , odds() -> n__odds()
     , nats() -> n__nats()
     , 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(n__odds()))
     , nats() -> cons(0(), n__incr(n__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	3.954222ms
Answer	MAYBE
Input	Strategy outermost added 08 Ex1 Luc04b FR

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__odds()) -> odds()
     , activate(n__nats()) -> nats()
     , activate(n__incr(X)) -> incr(activate(X))
     , odds() -> n__odds()
     , nats() -> n__nats()
     , 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(n__odds()))
     , nats() -> cons(0(), n__incr(n__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	0.2143569ms
Answer	MAYBE
Input	Strategy outermost added 08 Ex1 Luc04b FR