Problem Zantema 05 jw01

Tool Bounds

Execution Time2.9160023e-2ms
Answer
YES(?,O(n^1))
InputZantema 05 jw01

stdout:

YES(?,O(n^1))

We consider the following Problem:

  Strict Trs: {f(a(), f(x, a())) -> f(x, f(f(a(), a()), a()))}
  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() -> 4
   , a_1() -> 5
   , a_1() -> 6
   , f_0(1, 1) -> 1
   , f_1(1, 2) -> 1
   , f_1(3, 2) -> 1
   , f_1(3, 4) -> 2
   , f_1(5, 6) -> 3}

Hurray, we answered YES(?,O(n^1))

Tool CDI

Execution Time41.73649ms
Answer
MAYBE
InputZantema 05 jw01

stdout:

MAYBE

Statistics:
Number of monomials: 668
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time60.02824ms
Answer
TIMEOUT
InputZantema 05 jw01

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool IDA

Execution Time60.02823ms
Answer
TIMEOUT
InputZantema 05 jw01

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool TRI

Execution Time60.02588ms
Answer
TIMEOUT
InputZantema 05 jw01

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool TRI2

Execution Time0.3411901ms
Answer
MAYBE
InputZantema 05 jw01

stdout:

MAYBE

We consider the following Problem:

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

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..