Problem Mixed outermost ex4

Tool CaT

Execution TimeUnknown
Answer
MAYBE
InputMixed outermost ex4

stdout:

MAYBE

Problem:
 f(h(x)) -> f(i(x))
 f(i(x)) -> a()
 i(x) -> h(x)

Proof:
 Complexity Transformation Processor:
  strict:
   f(h(x)) -> f(i(x))
   f(i(x)) -> a()
   i(x) -> h(x)
  weak:
   
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {4,3}
    transitions:
     a1() -> 14*
     f0(2) -> 3*
     f0(1) -> 3*
     f0(8) -> 9*
     h0(2) -> 1*
     h0(1) -> 1*
     i0(2) -> 4*
     i0(1) -> 4*
     a0() -> 2*
     1 -> 4*
     4 -> 8*
     9 -> 3*
     14 -> 9*
   problem:
    strict:
     f(h(x)) -> f(i(x))
     i(x) -> h(x)
    weak:
     f(i(x)) -> a()
   Matrix Interpretation Processor:
    dimension: 1
    max_matrix:
     1
     interpretation:
      [a] = 0,
      
      [i](x0) = x0,
      
      [f](x0) = x0,
      
      [h](x0) = x0 + 128
     orientation:
      f(h(x)) = x + 128 >= x = f(i(x))
      
      i(x) = x >= x + 128 = h(x)
      
      f(i(x)) = x >= 0 = a()
     problem:
      strict:
       i(x) -> h(x)
      weak:
       f(h(x)) -> f(i(x))
       f(i(x)) -> a()
     Open
 

Tool IRC1

Execution TimeUnknown
Answer
MAYBE
InputMixed outermost ex4

stdout:

MAYBE
 Warning when parsing problem:
                             
                               Unsupported strategy 'OUTERMOST'

Tool IRC2

Execution TimeUnknown
Answer
TIMEOUT
InputMixed outermost ex4

stdout:

TIMEOUT

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

Proof Output:    
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution TimeUnknown
Answer
MAYBE
InputMixed outermost ex4

stdout:

MAYBE
 Warning when parsing problem:
                             
                               Unsupported strategy 'OUTERMOST'

Tool RC2

Execution TimeUnknown
Answer
TIMEOUT
InputMixed outermost ex4

stdout:

TIMEOUT

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

Proof Output:    
  Computation stopped due to timeout after 60.0 seconds