Problem Waldmann 07 size12 size-12-alpha-3-num-560

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-560

stdout:

MAYBE

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

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

  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [c](x0) = x0 + 88,

     [a](x0) = x0 + 192,

     [b](x0) = x0 + 24
    orientation:
     a(b(x1)) = x1 + 216 >= x1 = x1

     a(c(x1)) = x1 + 280 >= x1 + 176 = c(c(x1))

     b(c(x1)) = x1 + 112 >= x1 + 432 = a(a(b(b(x1))))
    problem:
     strict:
      b(c(x1)) -> a(a(b(b(x1))))
     weak:
      a(b(x1)) -> x1
      a(c(x1)) -> c(c(x1))
    Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-560

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-560

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(c(x1))
     , b(c(x1)) -> a(a(b(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-560

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-560

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds