Problem Zantema 06 02

Tool CaT

Execution TimeUnknown
Answer
MAYBE
InputZantema 06 02

stdout:

MAYBE

Problem:
 a(p(x1)) -> p(a(A(x1)))
 a(A(x1)) -> A(a(x1))
 p(A(A(x1))) -> a(p(x1))

Proof:
 Complexity Transformation Processor:
  strict:
   a(p(x1)) -> p(a(A(x1)))
   a(A(x1)) -> A(a(x1))
   p(A(A(x1))) -> a(p(x1))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [A](x0) = x0 + 1,
     
     [a](x0) = x0,
     
     [p](x0) = x0 + 5
    orientation:
     a(p(x1)) = x1 + 5 >= x1 + 6 = p(a(A(x1)))
     
     a(A(x1)) = x1 + 1 >= x1 + 1 = A(a(x1))
     
     p(A(A(x1))) = x1 + 7 >= x1 + 5 = a(p(x1))
    problem:
     strict:
      a(p(x1)) -> p(a(A(x1)))
      a(A(x1)) -> A(a(x1))
     weak:
      p(A(A(x1))) -> a(p(x1))
    Open
 

Tool IRC1

Execution TimeUnknown
Answer
MAYBE
InputZantema 06 02

stdout:

MAYBE

Tool IRC2

Execution TimeUnknown
Answer
TIMEOUT
InputZantema 06 02

stdout:

TIMEOUT

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

Proof Output:    
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution TimeUnknown
Answer
MAYBE
InputZantema 06 02

stdout:

MAYBE

Tool RC2

Execution TimeUnknown
Answer
TIMEOUT
InputZantema 06 02

stdout:

TIMEOUT

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

Proof Output:    
  Computation stopped due to timeout after 60.0 seconds