Problem Waldmann 07 size12 size-12-alpha-3-num-558

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-558

stdout:

MAYBE

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

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

  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [c](x0) = x0 + 58,

     [a](x0) = x0 + 84,

     [b](x0) = x0 + 4
    orientation:
     a(b(x1)) = x1 + 88 >= x1 = x1

     a(c(x1)) = x1 + 142 >= x1 + 124 = c(b(c(b(x1))))

     b(c(x1)) = x1 + 62 >= x1 + 168 = a(a(x1))
    problem:
     strict:
      b(c(x1)) -> a(a(x1))
     weak:
      a(b(x1)) -> x1
      a(c(x1)) -> c(b(c(b(x1))))
    Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-558

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-558

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a(b(x1)) -> x1
     , a(c(x1)) -> c(b(c(b(x1))))
     , b(c(x1)) -> 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-558

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-558

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds