Problem Mixed outermost patterns1

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Mixed outermost patterns1

stdout:

MAYBE

Problem:
a() -> f(a())
a() -> g(a())
f(f(f(x))) -> b()
g(g(g(x))) -> b()
g(f(f(g(x)))) -> b()
f(g(g(f(x)))) -> b()
g(f(g(f(x)))) -> b()

Proof:
Complexity Transformation Processor:
  strict:
   a() -> f(a())
   a() -> g(a())
   f(f(f(x))) -> b()
   g(g(g(x))) -> b()
   g(f(f(g(x)))) -> b()
   f(g(g(f(x)))) -> b()
   g(f(g(f(x)))) -> b()
  weak:

  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [b] = 0,

     [g](x0) = x0 + 8,

     [f](x0) = x0,

     [a] = 67
    orientation:
     a() = 67 >= 67 = f(a())

     a() = 67 >= 75 = g(a())

     f(f(f(x))) = x >= 0 = b()

     g(g(g(x))) = x + 24 >= 0 = b()

     g(f(f(g(x)))) = x + 16 >= 0 = b()

     f(g(g(f(x)))) = x + 16 >= 0 = b()

     g(f(g(f(x)))) = x + 16 >= 0 = b()
    problem:
     strict:
      a() -> f(a())
      a() -> g(a())
      f(f(f(x))) -> b()
     weak:
      g(g(g(x))) -> b()
      g(f(f(g(x)))) -> b()
      f(g(g(f(x)))) -> b()
      g(f(g(f(x)))) -> b()
    Matrix Interpretation Processor:
     dimension: 1
     max_matrix:
      1
      interpretation:
       [b] = 0,

       [g](x0) = x0 + 80,

       [f](x0) = x0 + 54,

       [a] = 70
      orientation:
       a() = 70 >= 124 = f(a())

       a() = 70 >= 150 = g(a())

       f(f(f(x))) = x + 162 >= 0 = b()

       g(g(g(x))) = x + 240 >= 0 = b()

       g(f(f(g(x)))) = x + 268 >= 0 = b()

       f(g(g(f(x)))) = x + 268 >= 0 = b()

       g(f(g(f(x)))) = x + 268 >= 0 = b()
      problem:
       strict:
        a() -> f(a())
        a() -> g(a())
       weak:
        f(f(f(x))) -> b()
        g(g(g(x))) -> b()
        g(f(f(g(x)))) -> b()
        f(g(g(f(x)))) -> b()
        g(f(g(f(x)))) -> b()
      Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Mixed outermost patterns1

stdout:

MAYBE
Warning when parsing problem:

Unsupported strategy 'OUTERMOST'

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Mixed outermost patterns1

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Mixed outermost patterns1

stdout:

MAYBE
Warning when parsing problem:

Unsupported strategy 'OUTERMOST'

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Mixed outermost patterns1

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds