Problem Zantema 04 z102

Tool Bounds

Execution Time	60.034744ms
Answer	TIMEOUT
Input	Zantema 04 z102

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  c(c(c(c(x1)))) -> a(b(x1))
     , b(b(x1)) -> c(c(c(x1)))
     , a(a(x1)) -> b(b(b(x1)))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time	5.931591ms
Answer	MAYBE
Input	Zantema 04 z102

stdout:

MAYBE

Statistics:
Number of monomials: 621
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	60.043785ms
Answer	TIMEOUT
Input	Zantema 04 z102

stdout:

Tool IDA

Execution Time	22.423101ms
Answer	MAYBE
Input	Zantema 04 z102

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  c(c(c(c(x1)))) -> a(b(x1))
     , b(b(x1)) -> c(c(c(x1)))
     , a(a(x1)) -> b(b(b(x1)))}
  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	2.93003ms
Answer	YES(?,O(n^2))
Input	Zantema 04 z102

stdout:

YES(?,O(n^2))

We consider the following Problem:

  Strict Trs:
    {  c(c(c(c(x1)))) -> a(b(x1))
     , b(b(x1)) -> c(c(c(x1)))
     , a(a(x1)) -> b(b(b(x1)))}
  StartTerms: all
  Strategy: none

Certificate: YES(?,O(n^2))

Proof:
  We have the following triangular matrix interpretation:
  Interpretation Functions:
   a(x1) = [1 1 3 1] x1 + [1]
           [0 0 2 2]      [2]
           [0 0 1 1]      [3]
           [0 0 0 0]      [2]
   b(x1) = [1 1 1 0] x1 + [1]
           [0 0 2 2]      [0]
           [0 0 1 1]      [1]
           [0 0 0 0]      [2]
   c(x1) = [1 1 0 0] x1 + [0]
           [0 0 2 1]      [0]
           [0 0 1 1]      [0]
           [0 0 0 0]      [2]

Hurray, we answered YES(?,O(n^2))

Tool TRI2

Execution Time	0.1871779ms
Answer	MAYBE
Input	Zantema 04 z102