Problem Waldmann 07 size12 size-12-alpha-3-num-436

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-436

stdout:

MAYBE

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

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

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

     [c](x0) = x0 + 193,

     [a](x0) = x0 + 1
    orientation:
     a(x1) = x1 + 1 >= x1 + 197 = b(b(c(x1)))

     c(b(b(x1))) = x1 + 197 >= x1 + 196 = a(b(c(x1)))

     c(c(x1)) = x1 + 386 >= x1 = x1
    problem:
     strict:
      a(x1) -> b(b(c(x1)))
     weak:
      c(b(b(x1))) -> a(b(c(x1)))
      c(c(x1)) -> x1
    Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-436

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-436

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a(x1) -> b(b(c(x1)))
     , c(b(b(x1))) -> a(b(c(x1)))
     , c(c(x1)) -> 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-436

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-436

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds