Problem HirokawaMiddeldorp 04 t003

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	HirokawaMiddeldorp 04 t003

stdout:

MAYBE

Problem:
-(x,0()) -> x
-(s(x),s(y)) -> -(x,y)
<=(0(),y) -> true()
<=(s(x),0()) -> false()
<=(s(x),s(y)) -> <=(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,-(z,s(x)),u)
f(s(x),s(y),z,u) -> if(<=(x,y),f(s(x),-(y,x),z,u),f(x,u,z,u))

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	HirokawaMiddeldorp 04 t003

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	HirokawaMiddeldorp 04 t003

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  -(x, 0()) -> x
     , -(s(x), s(y)) -> -(x, y)
     , <=(0(), y) -> true()
     , <=(s(x), 0()) -> false()
     , <=(s(x), s(y)) -> <=(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, -(z, s(x)), u)
     , f(s(x), s(y), z, u) ->
       if(<=(x, y), f(s(x), -(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	HirokawaMiddeldorp 04 t003

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	HirokawaMiddeldorp 04 t003

stdout:

TIMEOUT

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

Proof Output:
  Computation stopped due to timeout after 60.0 seconds