Problem Zantema 08 g 2 f var

Tool CaT

Execution TimeUnknown
Answer
MAYBE
InputZantema 08 g 2 f var

stdout:

MAYBE

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

Proof:
 Complexity Transformation Processor:
  strict:
   f(x) -> g(f(x))
   g(g(f(x))) -> x
  weak:
   
  Arctic Interpretation Processor:
   dimension: 1
   interpretation:
    [g](x0) = x0,
    
    [f](x0) = 1x0
   orientation:
    f(x) = 1x >= 1x = g(f(x))
    
    g(g(f(x))) = 1x >= x = x
   problem:
    strict:
     f(x) -> g(f(x))
    weak:
     g(g(f(x))) -> x
   Open

Tool IRC1

Execution TimeUnknown
Answer
MAYBE
InputZantema 08 g 2 f var

stdout:

MAYBE
 Warning when parsing problem:
                             
                               Unsupported strategy 'OUTERMOST'

Tool IRC2

Execution TimeUnknown
Answer
TIMEOUT
InputZantema 08 g 2 f var

stdout:

TIMEOUT

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

Proof Output:    
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution TimeUnknown
Answer
MAYBE
InputZantema 08 g 2 f var

stdout:

MAYBE
 Warning when parsing problem:
                             
                               Unsupported strategy 'OUTERMOST'

Tool RC2

Execution TimeUnknown
Answer
TIMEOUT
InputZantema 08 g 2 f var

stdout:

TIMEOUT

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

Proof Output:    
  Computation stopped due to timeout after 60.0 seconds