Problem Waldmann 07 size12 size-12-alpha-3-num-354

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-354

stdout:

MAYBE

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

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

  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [c](x0) = x0 + 66,

     [b](x0) = x0,

     [a](x0) = x0 + 17
    orientation:
     a(x1) = x1 + 17 >= x1 = b(x1)

     a(b(x1)) = x1 + 17 >= x1 + 166 = c(a(c(a(x1))))

     c(b(c(x1))) = x1 + 132 >= x1 = b(x1)
    problem:
     strict:
      a(b(x1)) -> c(a(c(a(x1))))
     weak:
      a(x1) -> b(x1)
      c(b(c(x1))) -> b(x1)
    Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-354

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-354

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(x1)) -> c(a(c(a(x1))))
     , c(b(c(x1))) -> 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-354

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-354

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds