Problem Zantema 05 jw14

Tool Bounds

Execution Time	3.1135082e-2ms
Answer	YES(?,O(n^1))
Input	Zantema 05 jw14

stdout:

YES(?,O(n^1))

We consider the following Problem:

  Strict Trs:
    {f(a(), f(a(), x)) -> f(a(), f(f(a(), a()), f(a(), x)))}
  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() -> 2
   , a_1() -> 6
   , a_1() -> 7
   , a_1() -> 8
   , a_2() -> 9
   , a_2() -> 13
   , a_2() -> 14
   , a_2() -> 15
   , f_0(1, 1) -> 1
   , f_1(2, 3) -> 1
   , f_1(4, 5) -> 3
   , f_1(6, 7) -> 4
   , f_1(8, 1) -> 5
   , f_1(8, 3) -> 5
   , f_2(9, 10) -> 5
   , f_2(11, 12) -> 10
   , f_2(13, 14) -> 11
   , f_2(15, 3) -> 12}

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

Tool CDI

Execution Time	60.04269ms
Answer	TIMEOUT
Input	Zantema 05 jw14

stdout:

TIMEOUT

Statistics:
Number of monomials: 1584
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	60.030136ms
Answer	TIMEOUT
Input	Zantema 05 jw14

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool IDA

Execution Time	60.030697ms
Answer	TIMEOUT
Input	Zantema 05 jw14

stdout:

Tool TRI

Execution Time	60.026005ms
Answer	TIMEOUT
Input	Zantema 05 jw14

stdout:

Tool TRI2

Execution Time	0.39652705ms
Answer	MAYBE
Input	Zantema 05 jw14

stdout:

MAYBE

We consider the following Problem:

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

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..