Problem Zantema 05 jw13

Tool Bounds

Execution Time	7.2788e-2ms
Answer	YES(?,O(n^1))
Input	Zantema 05 jw13

stdout:

YES(?,O(n^1))

We consider the following Problem:

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

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

Proof:
  The problem is match-bounded by 2.
  The enriched problem is compatible with the following automaton:
  {  a_0() -> 1
   , a_1() -> 3
   , a_1() -> 7
   , a_1() -> 8
   , a_1() -> 9
   , a_2() -> 10
   , a_2() -> 14
   , a_2() -> 15
   , a_2() -> 16
   , f_0(1, 1) -> 2
   , f_0(1, 2) -> 2
   , f_0(2, 1) -> 2
   , f_0(2, 2) -> 2
   , f_1(3, 4) -> 2
   , f_1(5, 6) -> 4
   , f_1(7, 8) -> 6
   , f_1(9, 1) -> 5
   , f_1(9, 2) -> 5
   , f_1(9, 4) -> 5
   , f_2(10, 11) -> 5
   , f_2(12, 13) -> 11
   , f_2(14, 15) -> 13
   , f_2(16, 4) -> 12}

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

Tool CDI

Execution Time	60.04085ms
Answer	TIMEOUT
Input	Zantema 05 jw13

stdout:

TIMEOUT

Statistics:
Number of monomials: 1600
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	60.03088ms
Answer	TIMEOUT
Input	Zantema 05 jw13

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool IDA

Execution Time	60.030613ms
Answer	TIMEOUT
Input	Zantema 05 jw13

stdout:

Tool TRI

Execution Time	60.02715ms
Answer	TIMEOUT
Input	Zantema 05 jw13

stdout:

Tool TRI2

Execution Time	0.36383796ms
Answer	MAYBE
Input	Zantema 05 jw13

stdout:

MAYBE

We consider the following Problem:

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

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..