Problem HirokawaMiddeldorp 04 t004

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	HirokawaMiddeldorp 04 t004

stdout:

MAYBE

Problem:
f(s(x)) -> s(f(f(p(s(x)))))
f(0()) -> 0()
p(s(x)) -> x

Proof:
Complexity Transformation Processor:
  strict:
   f(s(x)) -> s(f(f(p(s(x)))))
   f(0()) -> 0()
   p(s(x)) -> x
  weak:

  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [0] = 27,

     [p](x0) = x0 + 86,

     [f](x0) = x0 + 105,

     [s](x0) = x0 + 1
    orientation:
     f(s(x)) = x + 106 >= x + 298 = s(f(f(p(s(x)))))

     f(0()) = 132 >= 27 = 0()

     p(s(x)) = x + 87 >= x = x
    problem:
     strict:
      f(s(x)) -> s(f(f(p(s(x)))))
     weak:
      f(0()) -> 0()
      p(s(x)) -> x
    Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	HirokawaMiddeldorp 04 t004

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	HirokawaMiddeldorp 04 t004

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	HirokawaMiddeldorp 04 t004

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	HirokawaMiddeldorp 04 t004

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds