Problem Beerendonk 07 9

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Beerendonk 07 9

stdout:

MAYBE

Problem:
cond(true(),x,y,z) -> cond(and(gr(x,z),gr(y,z)),p(x),p(y),z)
and(true(),true()) -> true()
and(x,false()) -> false()
and(false(),x) -> false()
gr(0(),0()) -> false()
gr(0(),x) -> false()
gr(s(x),0()) -> true()
gr(s(x),s(y)) -> gr(x,y)
p(0()) -> 0()
p(s(x)) -> x

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Beerendonk 07 9

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Beerendonk 07 9

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  cond(true(), x, y, z) ->
       cond(and(gr(x, z), gr(y, z)), p(x), p(y), z)
     , and(true(), true()) -> true()
     , and(x, false()) -> false()
     , and(false(), x) -> false()
     , gr(0(), 0()) -> false()
     , gr(0(), x) -> false()
     , gr(s(x), 0()) -> true()
     , gr(s(x), s(y)) -> gr(x, y)
     , p(0()) -> 0()
     , p(s(x)) -> x}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Beerendonk 07 9

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Beerendonk 07 9

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  cond(true(), x, y, z) ->
       cond(and(gr(x, z), gr(y, z)), p(x), p(y), z)
     , and(true(), true()) -> true()
     , and(x, false()) -> false()
     , and(false(), x) -> false()
     , gr(0(), 0()) -> false()
     , gr(0(), x) -> false()
     , gr(s(x), 0()) -> true()
     , gr(s(x), s(y)) -> gr(x, y)
     , p(0()) -> 0()
     , p(s(x)) -> x}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds