Problem Zantema 05 jw02

Tool Bounds

Execution Time	5.124712e-2ms
Answer	YES(?,O(n^1))
Input	Zantema 05 jw02

stdout:

YES(?,O(n^1))

We consider the following Problem:

  Strict Trs: {f(a(), f(x, a())) -> f(a(), f(f(a(), a()), x))}
  StartTerms: all
  Strategy: none

Certificate: YES(?,O(n^1))

Proof:
  The problem is match-bounded by 1.
  The enriched problem is compatible with the following automaton:
  {  a_0() -> 1
   , a_1() -> 2
   , a_1() -> 5
   , a_1() -> 6
   , f_0(1, 1) -> 1
   , f_1(2, 3) -> 1
   , f_1(4, 1) -> 3
   , f_1(4, 4) -> 3
   , f_1(5, 6) -> 4}

Hurray, we answered YES(?,O(n^1))

Tool CDI

Execution Time	53.721386ms
Answer	MAYBE
Input	Zantema 05 jw02

stdout:

MAYBE

Statistics:
Number of monomials: 833
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	60.02868ms
Answer	TIMEOUT
Input	Zantema 05 jw02

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs: {f(a(), f(x, a())) -> f(a(), f(f(a(), a()), x))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool IDA

Execution Time	60.028526ms
Answer	TIMEOUT
Input	Zantema 05 jw02

stdout:

Tool TRI

Execution Time	60.031235ms
Answer	TIMEOUT
Input	Zantema 05 jw02

stdout:

Tool TRI2

Execution Time	0.30761385ms
Answer	MAYBE
Input	Zantema 05 jw02

stdout:

MAYBE

We consider the following Problem:

  Strict Trs: {f(a(), f(x, a())) -> f(a(), f(f(a(), a()), x))}
  StartTerms: all
  Strategy: none

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..