Problem Zantema 04 z004

Tool Bounds

Execution Time	60.033257ms
Answer	TIMEOUT
Input	Zantema 04 z004

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time	60.04245ms
Answer	TIMEOUT
Input	Zantema 04 z004

stdout:

TIMEOUT

Statistics:
Number of monomials: 0
Last formula building started for bound 0
Last SAT solving started for bound 0

Tool EDA

Execution Time	60.04331ms
Answer	TIMEOUT
Input	Zantema 04 z004

stdout:

Tool IDA

Execution Time	60.04554ms
Answer	TIMEOUT
Input	Zantema 04 z004

stdout:

Tool TRI

Execution Time	56.036488ms
Answer	YES(?,O(n^3))
Input	Zantema 04 z004

stdout:

YES(?,O(n^3))

We consider the following Problem:

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

Certificate: YES(?,O(n^3))

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

Hurray, we answered YES(?,O(n^3))

Tool TRI2

Execution Time	1.40172ms
Answer	MAYBE
Input	Zantema 04 z004

stdout:

MAYBE

We consider the following Problem:

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

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..