Problem AG01 3.48

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	AG01 3.48

stdout:

MAYBE

Problem:
f(0()) -> true()
f(1()) -> false()
f(s(x)) -> f(x)
if(true(),s(x),s(y)) -> s(x)
if(false(),s(x),s(y)) -> s(y)
g(x,c(y)) -> c(g(x,y))
g(x,c(y)) -> g(x,if(f(x),c(g(s(x),y)),c(y)))

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	AG01 3.48

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	AG01 3.48

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  f(0()) -> true()
     , f(1()) -> false()
     , f(s(x)) -> f(x)
     , if(true(), s(x), s(y)) -> s(x)
     , if(false(), s(x), s(y)) -> s(y)
     , g(x, c(y)) -> c(g(x, y))
     , g(x, c(y)) -> g(x, if(f(x), c(g(s(x), y)), c(y)))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	AG01 3.48

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	AG01 3.48

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  f(0()) -> true()
     , f(1()) -> false()
     , f(s(x)) -> f(x)
     , if(true(), s(x), s(y)) -> s(x)
     , if(false(), s(x), s(y)) -> s(y)
     , g(x, c(y)) -> c(g(x, y))
     , g(x, c(y)) -> g(x, if(f(x), c(g(s(x), y)), c(y)))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool pair1rc

Execution Time	Unknown
Answer	TIMEOUT
Input	AG01 3.48

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(0()) -> true()
     , f(1()) -> false()
     , f(s(x)) -> f(x)
     , if(true(), s(x), s(y)) -> s(x)
     , if(false(), s(x), s(y)) -> s(y)
     , g(x, c(y)) -> c(g(x, y))
     , g(x, c(y)) -> g(x, if(f(x), c(g(s(x), y)), c(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 3.48

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(0()) -> true()
     , f(1()) -> false()
     , f(s(x)) -> f(x)
     , if(true(), s(x), s(y)) -> s(x)
     , if(false(), s(x), s(y)) -> s(y)
     , g(x, c(y)) -> c(g(x, y))
     , g(x, c(y)) -> g(x, if(f(x), c(g(s(x), y)), c(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 3.48

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(0()) -> true()
     , f(1()) -> false()
     , f(s(x)) -> f(x)
     , if(true(), s(x), s(y)) -> s(x)
     , if(false(), s(x), s(y)) -> s(y)
     , g(x, c(y)) -> c(g(x, y))
     , g(x, c(y)) -> g(x, if(f(x), c(g(s(x), y)), c(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 3.48

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(0()) -> true()
     , f(1()) -> false()
     , f(s(x)) -> f(x)
     , if(true(), s(x), s(y)) -> s(x)
     , if(false(), s(x), s(y)) -> s(y)
     , g(x, c(y)) -> c(g(x, y))
     , g(x, c(y)) -> g(x, if(f(x), c(g(s(x), y)), c(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 3.48

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(0()) -> true()
     , f(1()) -> false()
     , f(s(x)) -> f(x)
     , if(true(), s(x), s(y)) -> s(x)
     , if(false(), s(x), s(y)) -> s(y)
     , g(x, c(y)) -> c(g(x, y))
     , g(x, c(y)) -> g(x, if(f(x), c(g(s(x), y)), c(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	60.062435ms
Answer	TIMEOUT
Input	AG01 3.48

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(0()) -> true()
     , f(1()) -> false()
     , f(s(x)) -> f(x)
     , if(true(), s(x), s(y)) -> s(x)
     , if(false(), s(x), s(y)) -> s(y)
     , g(x, c(y)) -> c(g(x, y))
     , g(x, c(y)) -> g(x, if(f(x), c(g(s(x), y)), c(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..