Problem SK90 2.16

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	SK90 2.16

stdout:

MAYBE

Problem:
f(0()) -> 1()
f(s(x)) -> g(x,s(x))
g(0(),y) -> y
g(s(x),y) -> g(x,+(y,s(x)))
+(x,0()) -> x
+(x,s(y)) -> s(+(x,y))
g(s(x),y) -> g(x,s(+(y,x)))

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	SK90 2.16

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 2.16

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	SK90 2.16

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 2.16

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool pair1rc

Execution Time	Unknown
Answer	TIMEOUT
Input	SK90 2.16

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(0()) -> 1()
     , f(s(x)) -> g(x, s(x))
     , g(0(), y) -> y
     , g(s(x), y) -> g(x, +(y, s(x)))
     , +(x, 0()) -> x
     , +(x, s(y)) -> s(+(x, y))
     , g(s(x), y) -> g(x, s(+(y, x)))}
  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 2.16

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(0()) -> 1()
     , f(s(x)) -> g(x, s(x))
     , g(0(), y) -> y
     , g(s(x), y) -> g(x, +(y, s(x)))
     , +(x, 0()) -> x
     , +(x, s(y)) -> s(+(x, y))
     , g(s(x), y) -> g(x, s(+(y, x)))}
  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 2.16

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(0()) -> 1()
     , f(s(x)) -> g(x, s(x))
     , g(0(), y) -> y
     , g(s(x), y) -> g(x, +(y, s(x)))
     , +(x, 0()) -> x
     , +(x, s(y)) -> s(+(x, y))
     , g(s(x), y) -> g(x, s(+(y, x)))}
  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 2.16

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(0()) -> 1()
     , f(s(x)) -> g(x, s(x))
     , g(0(), y) -> y
     , g(s(x), y) -> g(x, +(y, s(x)))
     , +(x, 0()) -> x
     , +(x, s(y)) -> s(+(x, y))
     , g(s(x), y) -> g(x, s(+(y, x)))}
  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	SK90 2.16

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(0()) -> 1()
     , f(s(x)) -> g(x, s(x))
     , g(0(), y) -> y
     , g(s(x), y) -> g(x, +(y, s(x)))
     , +(x, 0()) -> x
     , +(x, s(y)) -> s(+(x, y))
     , g(s(x), y) -> g(x, s(+(y, x)))}
  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	64.3165ms
Answer	TIMEOUT
Input	SK90 2.16

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(0()) -> 1()
     , f(s(x)) -> g(x, s(x))
     , g(0(), y) -> y
     , g(s(x), y) -> g(x, +(y, s(x)))
     , +(x, 0()) -> x
     , +(x, s(y)) -> s(+(x, y))
     , g(s(x), y) -> g(x, s(+(y, x)))}
  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..