Problem Waldmann 07 size12 size-12-alpha-2-num-8

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-2-num-8

stdout:

MAYBE

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

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

  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [b](x0) = x0 + 2,

     [a](x0) = x0 + 28
    orientation:
     a(a(a(x1))) = x1 + 84 >= x1 + 2 = b(x1)

     a(b(b(x1))) = x1 + 32 >= x1 + 88 = b(a(a(b(a(x1)))))
    problem:
     strict:
      a(b(b(x1))) -> b(a(a(b(a(x1)))))
     weak:
      a(a(a(x1))) -> b(x1)
    Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-2-num-8

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-2-num-8

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a(a(a(x1))) -> b(x1)
     , a(b(b(x1))) -> b(a(a(b(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-2-num-8

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-2-num-8

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds