Problem Waldmann 07 size12 size-12-alpha-3-num-375

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-375

stdout:

MAYBE

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

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

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

     [b](x0) = x0 + 49,

     [a](x0) = x0 + 162
    orientation:
     a(x1) = x1 + 162 >= x1 + 49 = b(x1)

     a(c(x1)) = x1 + 164 >= x1 + 426 = c(b(c(b(a(a(x1))))))

     b(b(x1)) = x1 + 98 >= x1 = x1
    problem:
     strict:
      a(c(x1)) -> c(b(c(b(a(a(x1))))))
     weak:
      a(x1) -> b(x1)
      b(b(x1)) -> x1
    Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-375

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-375

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a(x1) -> b(x1)
     , a(c(x1)) -> c(b(c(b(a(a(x1))))))
     , b(b(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-375

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-375

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds