Problem Transformed CSR 04 Ex25 Luc06 Z

Tool Bounds

Execution Time	6.594896e-2ms
Answer	YES(?,O(n^1))
Input	Transformed CSR 04 Ex25 Luc06 Z

stdout:

YES(?,O(n^1))

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__d(X)) -> d(X)
     , activate(n__f(X)) -> f(X)
     , d(X) -> n__d(X)
     , f(X) -> n__f(X)
     , h(X) -> c(n__d(X))
     , c(X) -> d(activate(X))
     , f(f(X)) -> c(n__f(g(n__f(X))))}
  StartTerms: all
  Strategy: none

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

Proof:
  The problem is match-bounded by 5.
  The enriched problem is compatible with the following automaton:
  {  f_0(1) -> 1
   , f_0(1) -> 2
   , f_1(1) -> 1
   , f_1(1) -> 2
   , f_2(1) -> 1
   , f_2(1) -> 2
   , f_3(1) -> 2
   , f_3(4) -> 5
   , f_4(7) -> 8
   , n__f_0(1) -> 1
   , n__f_0(1) -> 2
   , n__f_1(1) -> 1
   , n__f_1(1) -> 2
   , n__f_2(1) -> 1
   , n__f_2(1) -> 2
   , n__f_2(4) -> 3
   , n__f_2(4) -> 5
   , n__f_3(1) -> 1
   , n__f_3(1) -> 2
   , n__f_3(7) -> 6
   , n__f_3(7) -> 8
   , n__f_4(1) -> 2
   , n__f_4(4) -> 5
   , n__f_5(7) -> 8
   , g_0(1) -> 1
   , g_0(1) -> 2
   , g_1(1) -> 1
   , g_1(1) -> 2
   , g_2(1) -> 4
   , g_3(2) -> 7
   , c_0(1) -> 1
   , c_0(1) -> 2
   , c_1(1) -> 1
   , c_1(1) -> 2
   , c_2(3) -> 1
   , c_2(3) -> 2
   , c_3(6) -> 1
   , c_3(6) -> 2
   , activate_0(1) -> 1
   , activate_0(1) -> 2
   , activate_1(1) -> 1
   , activate_1(1) -> 2
   , activate_2(1) -> 2
   , activate_3(3) -> 5
   , activate_4(6) -> 8
   , d_0(1) -> 1
   , d_0(1) -> 2
   , d_1(1) -> 1
   , d_1(1) -> 2
   , d_1(2) -> 1
   , d_1(2) -> 2
   , d_1(5) -> 1
   , d_1(5) -> 2
   , d_1(8) -> 1
   , d_1(8) -> 2
   , d_2(1) -> 1
   , d_2(1) -> 2
   , d_2(2) -> 1
   , d_2(2) -> 2
   , d_2(5) -> 1
   , d_2(5) -> 2
   , d_2(8) -> 1
   , d_2(8) -> 2
   , d_3(1) -> 2
   , d_3(2) -> 2
   , d_3(5) -> 1
   , d_3(5) -> 2
   , d_3(8) -> 2
   , d_4(8) -> 1
   , d_4(8) -> 2
   , h_0(1) -> 1
   , h_0(1) -> 2
   , n__d_0(1) -> 1
   , n__d_0(1) -> 2
   , n__d_1(1) -> 1
   , n__d_1(1) -> 2
   , n__d_2(1) -> 1
   , n__d_2(1) -> 2
   , n__d_2(2) -> 1
   , n__d_2(2) -> 2
   , n__d_2(5) -> 1
   , n__d_2(5) -> 2
   , n__d_2(8) -> 1
   , n__d_2(8) -> 2
   , n__d_3(1) -> 1
   , n__d_3(1) -> 2
   , n__d_3(2) -> 1
   , n__d_3(2) -> 2
   , n__d_3(5) -> 1
   , n__d_3(5) -> 2
   , n__d_3(8) -> 1
   , n__d_3(8) -> 2
   , n__d_4(1) -> 2
   , n__d_4(2) -> 2
   , n__d_4(5) -> 1
   , n__d_4(5) -> 2
   , n__d_4(8) -> 2
   , n__d_5(8) -> 1
   , n__d_5(8) -> 2}

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

Tool CDI

Execution Time	4.8938527ms
Answer	MAYBE
Input	Transformed CSR 04 Ex25 Luc06 Z

stdout:

MAYBE

Statistics:
Number of monomials: 715
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	41.40945ms
Answer	MAYBE
Input	Transformed CSR 04 Ex25 Luc06 Z

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__d(X)) -> d(X)
     , activate(n__f(X)) -> f(X)
     , d(X) -> n__d(X)
     , f(X) -> n__f(X)
     , h(X) -> c(n__d(X))
     , c(X) -> d(activate(X))
     , f(f(X)) -> c(n__f(g(n__f(X))))}
  StartTerms: all
  Strategy: none

Certificate: MAYBE

Proof:
  None of the processors succeeded.

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

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


Arrrr..

Tool IDA

Execution Time	27.29063ms
Answer	MAYBE
Input	Transformed CSR 04 Ex25 Luc06 Z

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__d(X)) -> d(X)
     , activate(n__f(X)) -> f(X)
     , d(X) -> n__d(X)
     , f(X) -> n__f(X)
     , h(X) -> c(n__d(X))
     , c(X) -> d(activate(X))
     , f(f(X)) -> c(n__f(g(n__f(X))))}
  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	4.2823853ms
Answer	MAYBE
Input	Transformed CSR 04 Ex25 Luc06 Z

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  activate(X) -> X
     , activate(n__d(X)) -> d(X)
     , activate(n__f(X)) -> f(X)
     , d(X) -> n__d(X)
     , f(X) -> n__f(X)
     , h(X) -> c(n__d(X))
     , c(X) -> d(activate(X))
     , f(f(X)) -> c(n__f(g(n__f(X))))}
  StartTerms: all
  Strategy: none

Certificate: MAYBE

Proof:
  None of the processors succeeded.

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

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

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

    4) 'matrix-interpretation of dimension 3' 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 TRI2

Execution Time	0.12524009ms
Answer	MAYBE
Input	Transformed CSR 04 Ex25 Luc06 Z