Problem AG01 3.49

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	AG01 3.49

stdout:

MAYBE

Problem:
f(c(s(x),y)) -> f(c(x,s(y)))
f(c(s(x),s(y))) -> g(c(x,y))
g(c(x,s(y))) -> g(c(s(x),y))
g(c(s(x),s(y))) -> f(c(x,y))

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	AG01 3.49

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	AG01 3.49

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  f(c(s(x), y)) -> f(c(x, s(y)))
     , f(c(s(x), s(y))) -> g(c(x, y))
     , g(c(x, s(y))) -> g(c(s(x), y))
     , g(c(s(x), s(y))) -> f(c(x, y))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	AG01 3.49

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	AG01 3.49

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  f(c(s(x), y)) -> f(c(x, s(y)))
     , f(c(s(x), s(y))) -> g(c(x, y))
     , g(c(x, s(y))) -> g(c(s(x), y))
     , g(c(s(x), s(y))) -> f(c(x, y))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool pair1rc

Execution Time	Unknown
Answer	TIMEOUT
Input	AG01 3.49

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(c(s(x), y)) -> f(c(x, s(y)))
     , f(c(s(x), s(y))) -> g(c(x, y))
     , g(c(x, s(y))) -> g(c(s(x), y))
     , g(c(s(x), s(y))) -> f(c(x, y))}
  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	AG01 3.49

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(c(s(x), y)) -> f(c(x, s(y)))
     , f(c(s(x), s(y))) -> g(c(x, y))
     , g(c(x, s(y))) -> g(c(s(x), y))
     , g(c(s(x), s(y))) -> f(c(x, 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	AG01 3.49

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(c(s(x), y)) -> f(c(x, s(y)))
     , f(c(s(x), s(y))) -> g(c(x, y))
     , g(c(x, s(y))) -> g(c(s(x), y))
     , g(c(s(x), s(y))) -> f(c(x, 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	AG01 3.49

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(c(s(x), y)) -> f(c(x, s(y)))
     , f(c(s(x), s(y))) -> g(c(x, y))
     , g(c(x, s(y))) -> g(c(s(x), y))
     , g(c(s(x), s(y))) -> f(c(x, 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	TIMEOUT
Input	AG01 3.49

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(c(s(x), y)) -> f(c(x, s(y)))
     , f(c(s(x), s(y))) -> g(c(x, y))
     , g(c(x, s(y))) -> g(c(s(x), y))
     , g(c(s(x), s(y))) -> f(c(x, y))}
  StartTerms: basic terms
  Strategy: none

Certificate: TIMEOUT

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

Arrrr..

Tool tup3irc

Execution Time	60.073742ms
Answer	TIMEOUT
Input	AG01 3.49

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(c(s(x), y)) -> f(c(x, s(y)))
     , f(c(s(x), s(y))) -> g(c(x, y))
     , g(c(x, s(y))) -> g(c(s(x), y))
     , g(c(s(x), s(y))) -> f(c(x, 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..