Problem Zantema 05 z24

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Zantema 05 z24

stdout:

MAYBE

Problem:
f(x,a(b(y))) -> f(a(b(x)),y)
f(x,b(c(y))) -> f(b(c(x)),y)
f(x,c(a(y))) -> f(c(a(x)),y)
f(a(x),y) -> f(x,a(y))
f(b(x),y) -> f(x,b(y))
f(c(x),y) -> f(x,c(y))

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Zantema 05 z24

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Zantema 05 z24

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Zantema 05 z24

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Zantema 05 z24

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds