Problem Waldmann 07 size12 size-12-alpha-3-num-551

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-551

stdout:

MAYBE

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

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

  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [c](x0) = x0 + 130,

     [a](x0) = x0 + 43,

     [b](x0) = x0 + 85
    orientation:
     a(b(x1)) = x1 + 128 >= x1 = x1

     a(c(x1)) = x1 + 173 >= x1 + 388 = b(c(c(a(x1))))

     b(c(x1)) = x1 + 215 >= x1 + 128 = a(b(x1))
    problem:
     strict:
      a(c(x1)) -> b(c(c(a(x1))))
     weak:
      a(b(x1)) -> x1
      b(c(x1)) -> a(b(x1))
    Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-551

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-551

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)) -> b(c(c(a(x1))))
     , b(c(x1)) -> a(b(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-551

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-551

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)) -> b(c(c(a(x1))))
     , b(c(x1)) -> a(b(x1))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds