Problem SK90 2.12

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	SK90 2.12

stdout:

MAYBE

Problem:
+(0(),y) -> y
+(s(x),y) -> s(+(x,y))
+(p(x),y) -> p(+(x,y))
minus(0()) -> 0()
minus(s(x)) -> p(minus(x))
minus(p(x)) -> s(minus(x))
*(0(),y) -> 0()
*(s(x),y) -> +(*(x,y),y)
*(p(x),y) -> +(*(x,y),minus(y))

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	SK90 2.12

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 2.12

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	SK90 2.12

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 2.12

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool pair2rc

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 2.12

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  +(0(), y) -> y
     , +(s(x), y) -> s(+(x, y))
     , +(p(x), y) -> p(+(x, y))
     , minus(0()) -> 0()
     , minus(s(x)) -> p(minus(x))
     , minus(p(x)) -> s(minus(x))
     , *(0(), y) -> 0()
     , *(s(x), y) -> +(*(x, y), y)
     , *(p(x), y) -> +(*(x, y), minus(y))}
  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 2.12

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  +(0(), y) -> y
     , +(s(x), y) -> s(+(x, y))
     , +(p(x), y) -> p(+(x, y))
     , minus(0()) -> 0()
     , minus(s(x)) -> p(minus(x))
     , minus(p(x)) -> s(minus(x))
     , *(0(), y) -> 0()
     , *(s(x), y) -> +(*(x, y), y)
     , *(p(x), y) -> +(*(x, y), minus(y))}
  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 2.12

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  +(0(), y) -> y
     , +(s(x), y) -> s(+(x, y))
     , +(p(x), y) -> p(+(x, y))
     , minus(0()) -> 0()
     , minus(s(x)) -> p(minus(x))
     , minus(p(x)) -> s(minus(x))
     , *(0(), y) -> 0()
     , *(s(x), y) -> +(*(x, y), y)
     , *(p(x), y) -> +(*(x, y), minus(y))}
  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 2.12

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  +(0(), y) -> y
     , +(s(x), y) -> s(+(x, y))
     , +(p(x), y) -> p(+(x, y))
     , minus(0()) -> 0()
     , minus(s(x)) -> p(minus(x))
     , minus(p(x)) -> s(minus(x))
     , *(0(), y) -> 0()
     , *(s(x), y) -> +(*(x, y), y)
     , *(p(x), y) -> +(*(x, y), minus(y))}
  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 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) '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) 'dp' failed due to the following reason:
         We have computed the following dependency pairs

         Strict Dependency Pairs:
           {  +^#(0(), y) -> c_1(y)
            , +^#(s(x), y) -> c_2(+^#(x, y))
            , +^#(p(x), y) -> c_3(+^#(x, y))
            , minus^#(0()) -> c_4()
            , minus^#(s(x)) -> c_5(minus^#(x))
            , minus^#(p(x)) -> c_6(minus^#(x))
            , *^#(0(), y) -> c_7()
            , *^#(s(x), y) -> c_8(+^#(*(x, y), y))
            , *^#(p(x), y) -> c_9(+^#(*(x, y), minus(y)))}

         We consider the following Problem:

           Strict DPs:
             {  +^#(0(), y) -> c_1(y)
              , +^#(s(x), y) -> c_2(+^#(x, y))
              , +^#(p(x), y) -> c_3(+^#(x, y))
              , minus^#(0()) -> c_4()
              , minus^#(s(x)) -> c_5(minus^#(x))
              , minus^#(p(x)) -> c_6(minus^#(x))
              , *^#(0(), y) -> c_7()
              , *^#(s(x), y) -> c_8(+^#(*(x, y), y))
              , *^#(p(x), y) -> c_9(+^#(*(x, y), minus(y)))}
           Strict Trs:
             {  +(0(), y) -> y
              , +(s(x), y) -> s(+(x, y))
              , +(p(x), y) -> p(+(x, y))
              , minus(0()) -> 0()
              , minus(s(x)) -> p(minus(x))
              , minus(p(x)) -> s(minus(x))
              , *(0(), y) -> 0()
              , *(s(x), y) -> +(*(x, y), y)
              , *(p(x), y) -> +(*(x, y), minus(y))}
           StartTerms: basic terms
           Strategy: none

         Certificate: MAYBE

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

           No subproblems were generated.


Arrrr..

Tool tup3irc

Execution Time	60.06063ms
Answer	TIMEOUT
Input	SK90 2.12

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  +(0(), y) -> y
     , +(s(x), y) -> s(+(x, y))
     , +(p(x), y) -> p(+(x, y))
     , minus(0()) -> 0()
     , minus(s(x)) -> p(minus(x))
     , minus(p(x)) -> s(minus(x))
     , *(0(), y) -> 0()
     , *(s(x), y) -> +(*(x, y), y)
     , *(p(x), y) -> +(*(x, y), minus(y))}
  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..