Problem Zantema 08 ex6

Tool CaT

Execution TimeUnknown
Answer
MAYBE
InputZantema 08 ex6

stdout:

MAYBE

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

Proof:
 Complexity Transformation Processor:
  strict:
   a() -> f(a())
   f(f(x)) -> g(x)
   g(g(x)) -> c()
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [c] = 0,
     
     [g](x0) = x0 + 24,
     
     [f](x0) = x0,
     
     [a] = 160
    orientation:
     a() = 160 >= 160 = f(a())
     
     f(f(x)) = x >= x + 24 = g(x)
     
     g(g(x)) = x + 48 >= 0 = c()
    problem:
     strict:
      a() -> f(a())
      f(f(x)) -> g(x)
     weak:
      g(g(x)) -> c()
    Matrix Interpretation Processor:
     dimension: 1
     max_matrix:
      1
      interpretation:
       [c] = 0,
       
       [g](x0) = x0 + 128,
       
       [f](x0) = x0 + 129,
       
       [a] = 1
      orientation:
       a() = 1 >= 130 = f(a())
       
       f(f(x)) = x + 258 >= x + 128 = g(x)
       
       g(g(x)) = x + 256 >= 0 = c()
      problem:
       strict:
        a() -> f(a())
       weak:
        f(f(x)) -> g(x)
        g(g(x)) -> c()
      Open
  

Tool IRC1

Execution TimeUnknown
Answer
MAYBE
InputZantema 08 ex6

stdout:

MAYBE
 Warning when parsing problem:
                             
                               Unsupported strategy 'OUTERMOST'

Tool IRC2

Execution TimeUnknown
Answer
TIMEOUT
InputZantema 08 ex6

stdout:

TIMEOUT

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

Proof Output:    
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution TimeUnknown
Answer
MAYBE
InputZantema 08 ex6

stdout:

MAYBE
 Warning when parsing problem:
                             
                               Unsupported strategy 'OUTERMOST'

Tool RC2

Execution TimeUnknown
Answer
TIMEOUT
InputZantema 08 ex6

stdout:

TIMEOUT

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

Proof Output:    
  Computation stopped due to timeout after 60.0 seconds