Problem Waldmann 07 size12 size-12-alpha-3-num-359

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-359

stdout:

MAYBE

Problem:
a(x1) -> b(x1)
a(b(b(x1))) -> c(x1)
a(c(x1)) -> c(b(a(a(x1))))

Proof:
Complexity Transformation Processor:
  strict:
   a(x1) -> b(x1)
   a(b(b(x1))) -> c(x1)
   a(c(x1)) -> c(b(a(a(x1))))
  weak:

  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [c](x0) = x0 + 24,

     [b](x0) = x0 + 64,

     [a](x0) = x0 + 8
    orientation:
     a(x1) = x1 + 8 >= x1 + 64 = b(x1)

     a(b(b(x1))) = x1 + 136 >= x1 + 24 = c(x1)

     a(c(x1)) = x1 + 32 >= x1 + 104 = c(b(a(a(x1))))
    problem:
     strict:
      a(x1) -> b(x1)
      a(c(x1)) -> c(b(a(a(x1))))
     weak:
      a(b(b(x1))) -> c(x1)
    Matrix Interpretation Processor:
     dimension: 1
     max_matrix:
      1
      interpretation:
       [c](x0) = x0 + 56,

       [b](x0) = x0 + 16,

       [a](x0) = x0 + 24
      orientation:
       a(x1) = x1 + 24 >= x1 + 16 = b(x1)

       a(c(x1)) = x1 + 80 >= x1 + 120 = c(b(a(a(x1))))

       a(b(b(x1))) = x1 + 56 >= x1 + 56 = c(x1)
      problem:
       strict:
        a(c(x1)) -> c(b(a(a(x1))))
       weak:
        a(x1) -> b(x1)
        a(b(b(x1))) -> c(x1)
      Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-359

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-359

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a(x1) -> b(x1)
     , a(b(b(x1))) -> c(x1)
     , a(c(x1)) -> c(b(a(a(x1))))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-359

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-359

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a(x1) -> b(x1)
     , a(b(b(x1))) -> c(x1)
     , a(c(x1)) -> c(b(a(a(x1))))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds