Problem Waldmann 07 size12 size-12-alpha-3-num-48

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-48

stdout:

MAYBE

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

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

  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [b](x0) = x0 + 20,

     [c](x0) = x0 + 249,

     [a](x0) = x0 + 9
    orientation:
     a(x1) = x1 + 9 >= x1 = x1

     a(x1) = x1 + 9 >= x1 + 269 = b(c(x1))

     c(b(b(b(x1)))) = x1 + 309 >= x1 + 58 = b(b(a(a(x1))))
    problem:
     strict:
      a(x1) -> b(c(x1))
     weak:
      a(x1) -> x1
      c(b(b(b(x1)))) -> b(b(a(a(x1))))
    Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Waldmann 07 size12 size-12-alpha-3-num-48

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-48

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a(x1) -> x1
     , a(x1) -> b(c(x1))
     , c(b(b(b(x1)))) -> b(b(a(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-48

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Waldmann 07 size12 size-12-alpha-3-num-48

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds