Problem Mixed TRS 1

Tool Bounds

Execution Time	3.3147097e-2ms
Answer	YES(?,O(n^1))
Input	Mixed TRS 1

stdout:

YES(?,O(n^1))

We consider the following Problem:

  Strict Trs:
    {f(a(), f(a(), x)) -> f(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() -> 3
   , a_1() -> 7
   , a_1() -> 8
   , a_1() -> 9
   , f_0(1, 1) -> 2
   , f_0(1, 2) -> 2
   , f_0(2, 1) -> 2
   , f_0(2, 2) -> 2
   , f_1(1, 5) -> 4
   , f_1(2, 5) -> 4
   , f_1(3, 4) -> 2
   , f_1(4, 5) -> 4
   , f_1(5, 5) -> 4
   , f_1(6, 7) -> 5
   , f_1(8, 9) -> 6}

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

Tool CDI

Execution Time	60.040707ms
Answer	TIMEOUT
Input	Mixed TRS 1

stdout:

TIMEOUT

Statistics:
Number of monomials: 0
Last formula building started for bound 0
Last SAT solving started for bound 0

Tool EDA

Execution Time	60.03115ms
Answer	TIMEOUT
Input	Mixed TRS 1

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {f(a(), f(a(), x)) -> f(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 Time	53.66994ms
Answer	MAYBE
Input	Mixed TRS 1

stdout:

MAYBE

We consider the following Problem:

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

Certificate: MAYBE

Proof:
  None of the processors succeeded.

  Details of failed attempt(s):
  -----------------------------
    1) 'matrix-interpretation of dimension 3' failed due to the following reason:
         The input cannot be shown compatible

    2) 'matrix-interpretation of dimension 3' failed due to the following reason:
         The input cannot be shown compatible

    3) 'matrix-interpretation of dimension 3' failed due to the following reason:
         The input cannot be shown compatible

    4) 'matrix-interpretation of dimension 2' failed due to the following reason:
         The input cannot be shown compatible

    5) 'matrix-interpretation of dimension 2' failed due to the following reason:
         The input cannot be shown compatible

    6) 'matrix-interpretation of dimension 1' failed due to the following reason:
         The input cannot be shown compatible


Arrrr..

Tool TRI

Execution Time	60.02337ms
Answer	TIMEOUT
Input	Mixed TRS 1

stdout:

Tool TRI2

Execution Time	0.32562208ms
Answer	MAYBE
Input	Mixed TRS 1

stdout:

MAYBE

We consider the following Problem:

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

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..