Problem Zantema 04 z087

Tool Bounds

Execution Time	60.032677ms
Answer	TIMEOUT
Input	Zantema 04 z087

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time	0.71012783ms
Answer	MAYBE
Input	Zantema 04 z087

stdout:

MAYBE

Statistics:
Number of monomials: 195
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	5.444561ms
Answer	YES(?,O(n^4))
Input	Zantema 04 z087

stdout:

YES(?,O(n^4))

We consider the following Problem:

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

Certificate: YES(?,O(n^4))

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

Hurray, we answered YES(?,O(n^4))

Tool IDA

Execution Time	60.032116ms
Answer	TIMEOUT
Input	Zantema 04 z087

stdout:

Tool TRI

Execution Time	60.03034ms
Answer	TIMEOUT
Input	Zantema 04 z087

stdout:

Tool TRI2

Execution Time	9.7837925e-2ms
Answer	MAYBE
Input	Zantema 04 z087

stdout:

MAYBE

We consider the following Problem:

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

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..