Problem SK90 4.09

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	SK90 4.09

stdout:

MAYBE

Problem:
+(x,0()) -> x
+(x,i(x)) -> 0()
+(+(x,y),z) -> +(x,+(y,z))
*(x,+(y,z)) -> +(*(x,y),*(x,z))
*(+(x,y),z) -> +(*(x,z),*(y,z))

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	SK90 4.09

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 4.09

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  +(x, 0()) -> x
     , +(x, i(x)) -> 0()
     , +(+(x, y), z) -> +(x, +(y, z))
     , *(x, +(y, z)) -> +(*(x, y), *(x, z))
     , *(+(x, y), z) -> +(*(x, z), *(y, z))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	SK90 4.09

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 4.09

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  +(x, 0()) -> x
     , +(x, i(x)) -> 0()
     , +(+(x, y), z) -> +(x, +(y, z))
     , *(x, +(y, z)) -> +(*(x, y), *(x, z))
     , *(+(x, y), z) -> +(*(x, z), *(y, z))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool pair1rc

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 4.09

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  +(x, 0()) -> x
     , +(x, i(x)) -> 0()
     , +(+(x, y), z) -> +(x, +(y, z))
     , *(x, +(y, z)) -> +(*(x, y), *(x, z))
     , *(+(x, y), z) -> +(*(x, z), *(y, z))}
  StartTerms: basic terms
  Strategy: none

Certificate: TIMEOUT

Application of 'pair1 (timeout of 60.0 seconds)':
-------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool pair2rc

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 4.09

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  +(x, 0()) -> x
     , +(x, i(x)) -> 0()
     , +(+(x, y), z) -> +(x, +(y, z))
     , *(x, +(y, z)) -> +(*(x, y), *(x, z))
     , *(+(x, y), z) -> +(*(x, z), *(y, z))}
  StartTerms: basic terms
  Strategy: none

Certificate: TIMEOUT

Application of 'pair2 (timeout of 60.0 seconds)':
-------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool pair3irc

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 4.09

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  +(x, 0()) -> x
     , +(x, i(x)) -> 0()
     , +(+(x, y), z) -> +(x, +(y, z))
     , *(x, +(y, z)) -> +(*(x, y), *(x, z))
     , *(+(x, y), z) -> +(*(x, z), *(y, z))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: TIMEOUT

Application of 'pair3 (timeout of 60.0 seconds)':
-------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool pair3rc

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 4.09

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  +(x, 0()) -> x
     , +(x, i(x)) -> 0()
     , +(+(x, y), z) -> +(x, +(y, z))
     , *(x, +(y, z)) -> +(*(x, y), *(x, z))
     , *(+(x, y), z) -> +(*(x, z), *(y, z))}
  StartTerms: basic terms
  Strategy: none

Certificate: TIMEOUT

Application of 'pair3 (timeout of 60.0 seconds)':
-------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..

Tool rc

Execution Time	Unknown
Answer	MAYBE
Input	SK90 4.09

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  +(x, 0()) -> x
     , +(x, i(x)) -> 0()
     , +(+(x, y), z) -> +(x, +(y, z))
     , *(x, +(y, z)) -> +(*(x, y), *(x, z))
     , *(+(x, y), z) -> +(*(x, z), *(y, z))}
  StartTerms: basic terms
  Strategy: none

Certificate: MAYBE

Application of 'rc (timeout of 60.0 seconds)':
----------------------------------------------
  None of the processors succeeded.

  Details of failed attempt(s):
  -----------------------------
    1) 'Fastest' failed due to the following reason:
         None of the processors succeeded.

         Details of failed attempt(s):
         -----------------------------
           1) 'Sequentially' failed due to the following reason:
                None of the processors succeeded.

                Details of failed attempt(s):
                -----------------------------
                  1) 'empty' failed due to the following reason:
                       Empty strict component of the problem is NOT empty.

                  2) 'Fastest' failed due to the following reason:
                       None of the processors succeeded.

                       Details of failed attempt(s):
                       -----------------------------
                         1) 'matrix-interpretation of dimension 4 (timeout of 100.0 seconds)' failed due to the following reason:
                              The input cannot be shown compatible

                         2) 'matrix-interpretation of dimension 3 (timeout of 100.0 seconds)' failed due to the following reason:
                              The input cannot be shown compatible

                         3) 'matrix-interpretation of dimension 2 (timeout of 100.0 seconds)' failed due to the following reason:
                              The input cannot be shown compatible



           2) 'Fastest' failed due to the following reason:
                None of the processors succeeded.

                Details of failed attempt(s):
                -----------------------------
                  1) 'Bounds with minimal-enrichment and initial automaton 'match' (timeout of 100.0 seconds)' failed due to the following reason:
                       match-boundness of the problem could not be verified.

                  2) 'Bounds with perSymbol-enrichment and initial automaton 'match' (timeout of 5.0 seconds)' failed due to the following reason:
                       match-boundness of the problem could not be verified.



    2) 'dp' failed due to the following reason:
         We have computed the following dependency pairs

         Strict Dependency Pairs:
           {  +^#(x, 0()) -> c_1(x)
            , +^#(x, i(x)) -> c_2()
            , +^#(+(x, y), z) -> c_3(+^#(x, +(y, z)))
            , *^#(x, +(y, z)) -> c_4(+^#(*(x, y), *(x, z)))
            , *^#(+(x, y), z) -> c_5(+^#(*(x, z), *(y, z)))}

         We consider the following Problem:

           Strict DPs:
             {  +^#(x, 0()) -> c_1(x)
              , +^#(x, i(x)) -> c_2()
              , +^#(+(x, y), z) -> c_3(+^#(x, +(y, z)))
              , *^#(x, +(y, z)) -> c_4(+^#(*(x, y), *(x, z)))
              , *^#(+(x, y), z) -> c_5(+^#(*(x, z), *(y, z)))}
           Strict Trs:
             {  +(x, 0()) -> x
              , +(x, i(x)) -> 0()
              , +(+(x, y), z) -> +(x, +(y, z))
              , *(x, +(y, z)) -> +(*(x, y), *(x, z))
              , *(+(x, y), z) -> +(*(x, z), *(y, z))}
           StartTerms: basic terms
           Strategy: none

         Certificate: MAYBE

         Application of 'usablerules':
         -----------------------------
           All rules are usable.

           No subproblems were generated.


Arrrr..

Tool tup3irc

Execution Time	60.056114ms
Answer	TIMEOUT
Input	SK90 4.09

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  +(x, 0()) -> x
     , +(x, i(x)) -> 0()
     , +(+(x, y), z) -> +(x, +(y, z))
     , *(x, +(y, z)) -> +(*(x, y), *(x, z))
     , *(+(x, y), z) -> +(*(x, z), *(y, z))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: TIMEOUT

Application of 'tup3 (timeout of 60.0 seconds)':
------------------------------------------------
  Computation stopped due to timeout after 60.0 seconds

Arrrr..