Problem Waldmann 07 size12 size-12-alpha-3-num-345

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-345

stdout:

MAYBE

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

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

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

     [b](x0) = x0 + 12,

     [a](x0) = x0 + 7
    orientation:
     a(x1) = x1 + 7 >= x1 + 12 = b(x1)

     a(b(x1)) = x1 + 19 >= x1 = x1

     b(c(c(x1))) = x1 + 14 >= x1 + 22 = c(c(b(c(a(x1)))))
    problem:
     strict:
      a(x1) -> b(x1)
      b(c(c(x1))) -> c(c(b(c(a(x1)))))
     weak:
      a(b(x1)) -> x1
    Matrix Interpretation Processor:
     dimension: 1
     max_matrix:
      1
      interpretation:
       [c](x0) = x0 + 2,

       [b](x0) = x0 + 53,

       [a](x0) = x0 + 58
      orientation:
       a(x1) = x1 + 58 >= x1 + 53 = b(x1)

       b(c(c(x1))) = x1 + 57 >= x1 + 117 = c(c(b(c(a(x1)))))

       a(b(x1)) = x1 + 111 >= x1 = x1
      problem:
       strict:
        b(c(c(x1))) -> c(c(b(c(a(x1)))))
       weak:
        a(x1) -> b(x1)
        a(b(x1)) -> x1
      Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-345

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-345

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)) -> x1
     , b(c(c(x1))) -> c(c(b(c(a(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-345

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-345

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds