Problem Mixed TRS perfect2

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Mixed TRS perfect2

stdout:

MAYBE

Problem:
minus(0(),y) -> 0()
minus(s(x),0()) -> s(x)
minus(s(x),s(y)) -> minus(x,y)
le(0(),y) -> true()
le(s(x),0()) -> false()
le(s(x),s(y)) -> le(x,y)
if(true(),x,y) -> x
if(false(),x,y) -> y
perfectp(0()) -> false()
perfectp(s(x)) -> f(x,s(0()),s(x),s(x))
f(0(),y,0(),u) -> true()
f(0(),y,s(z),u) -> false()
f(s(x),0(),z,u) -> f(x,u,minus(z,s(x)),u)
f(s(x),s(y),z,u) -> if(le(x,y),f(s(x),minus(y,x),z,u),f(x,u,z,u))

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Mixed TRS perfect2

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Mixed TRS perfect2

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  minus(0(), y) -> 0()
     , minus(s(x), 0()) -> s(x)
     , minus(s(x), s(y)) -> minus(x, y)
     , le(0(), y) -> true()
     , le(s(x), 0()) -> false()
     , le(s(x), s(y)) -> le(x, y)
     , if(true(), x, y) -> x
     , if(false(), x, y) -> y
     , perfectp(0()) -> false()
     , perfectp(s(x)) -> f(x, s(0()), s(x), s(x))
     , f(0(), y, 0(), u) -> true()
     , f(0(), y, s(z), u) -> false()
     , f(s(x), 0(), z, u) -> f(x, u, minus(z, s(x)), u)
     , f(s(x), s(y), z, u) ->
       if(le(x, y), f(s(x), minus(y, x), z, u), f(x, u, z, u))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Mixed TRS perfect2

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Mixed TRS perfect2

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  minus(0(), y) -> 0()
     , minus(s(x), 0()) -> s(x)
     , minus(s(x), s(y)) -> minus(x, y)
     , le(0(), y) -> true()
     , le(s(x), 0()) -> false()
     , le(s(x), s(y)) -> le(x, y)
     , if(true(), x, y) -> x
     , if(false(), x, y) -> y
     , perfectp(0()) -> false()
     , perfectp(s(x)) -> f(x, s(0()), s(x), s(x))
     , f(0(), y, 0(), u) -> true()
     , f(0(), y, s(z), u) -> false()
     , f(s(x), 0(), z, u) -> f(x, u, minus(z, s(x)), u)
     , f(s(x), s(y), z, u) ->
       if(le(x, y), f(s(x), minus(y, x), z, u), f(x, u, z, u))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds