Problem AProVE 06 tower sizeChange

Tool Bounds

Execution Time	60.034473ms
Answer	TIMEOUT
Input	AProVE 06 tower sizeChange

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  half(s(s(x))) -> s(half(x))
     , half(s(0())) -> half(0())
     , half(0()) -> double(0())
     , double(s(x)) -> s(s(double(x)))
     , double(0()) -> 0()
     , exp(s(x)) -> double(exp(x))
     , exp(0()) -> s(0())
     , f(b(), y, x) -> f(a(), half(x), exp(y))
     , f(a(), s(x), y) -> f(b(), y, s(x))
     , f(a(), 0(), y) -> y
     , tower(x) -> f(a(), x, s(0()))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time	2.97034ms
Answer	MAYBE
Input	AProVE 06 tower sizeChange

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	51.35886ms
Answer	MAYBE
Input	AProVE 06 tower sizeChange

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  half(s(s(x))) -> s(half(x))
     , half(s(0())) -> half(0())
     , half(0()) -> double(0())
     , double(s(x)) -> s(s(double(x)))
     , double(0()) -> 0()
     , exp(s(x)) -> double(exp(x))
     , exp(0()) -> s(0())
     , f(b(), y, x) -> f(a(), half(x), exp(y))
     , f(a(), s(x), y) -> f(b(), y, s(x))
     , f(a(), 0(), y) -> y
     , tower(x) -> f(a(), x, s(0()))}
  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	22.102312ms
Answer	MAYBE
Input	AProVE 06 tower sizeChange

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  half(s(s(x))) -> s(half(x))
     , half(s(0())) -> half(0())
     , half(0()) -> double(0())
     , double(s(x)) -> s(s(double(x)))
     , double(0()) -> 0()
     , exp(s(x)) -> double(exp(x))
     , exp(0()) -> s(0())
     , f(b(), y, x) -> f(a(), half(x), exp(y))
     , f(a(), s(x), y) -> f(b(), y, s(x))
     , f(a(), 0(), y) -> y
     , tower(x) -> f(a(), x, s(0()))}
  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	42.124577ms
Answer	MAYBE
Input	AProVE 06 tower sizeChange

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  half(s(s(x))) -> s(half(x))
     , half(s(0())) -> half(0())
     , half(0()) -> double(0())
     , double(s(x)) -> s(s(double(x)))
     , double(0()) -> 0()
     , exp(s(x)) -> double(exp(x))
     , exp(0()) -> s(0())
     , f(b(), y, x) -> f(a(), half(x), exp(y))
     , f(a(), s(x), y) -> f(b(), y, s(x))
     , f(a(), 0(), y) -> y
     , tower(x) -> f(a(), x, s(0()))}
  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	0.33320808ms
Answer	MAYBE
Input	AProVE 06 tower sizeChange