Problem AG01 3.26

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	AG01 3.26

stdout:

MAYBE

Problem:
f(x) -> s(x)
f(s(s(x))) -> s(f(f(x)))

Proof:
Complexity Transformation Processor:
  strict:
   f(x) -> s(x)
   f(s(s(x))) -> s(f(f(x)))
  weak:

  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [s](x0) = x0 + 73,

     [f](x0) = x0 + 164
    orientation:
     f(x) = x + 164 >= x + 73 = s(x)

     f(s(s(x))) = x + 310 >= x + 401 = s(f(f(x)))
    problem:
     strict:
      f(s(s(x))) -> s(f(f(x)))
     weak:
      f(x) -> s(x)
    Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	AG01 3.26

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	AG01 3.26

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	AG01 3.26

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	AG01 3.26

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool pair1rc

Execution Time	Unknown
Answer	TIMEOUT
Input	AG01 3.26

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(x) -> s(x)
     , f(s(s(x))) -> s(f(f(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	AG01 3.26

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(x) -> s(x)
     , f(s(s(x))) -> s(f(f(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 pair3rc

Execution Time	Unknown
Answer	TIMEOUT
Input	AG01 3.26

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(x) -> s(x)
     , f(s(s(x))) -> s(f(f(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	AG01 3.26

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  f(x) -> s(x)
     , f(s(s(x))) -> s(f(f(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	60.071022ms
Answer	TIMEOUT
Input	AG01 3.26

stdout:

TIMEOUT

We consider the following Problem:

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