Tool CaT
stdout:
MAYBE
Problem:
half(x) -> if(ge(x,s(s(0()))),x)
if(false(),x) -> 0()
if(true(),x) -> s(half(p(p(x))))
p(0()) -> 0()
p(s(x)) -> x
ge(x,0()) -> true()
ge(0(),s(x)) -> false()
ge(s(x),s(y)) -> ge(x,y)
log(0()) -> 0()
log(s(x)) -> s(log(half(s(x))))
Proof:
OpenTool IRC1
stdout:
MAYBE
Tool IRC2
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: innermost runtime-complexity with respect to
Rules:
{ half(x) -> if(ge(x, s(s(0()))), x)
, if(false(), x) -> 0()
, if(true(), x) -> s(half(p(p(x))))
, p(0()) -> 0()
, p(s(x)) -> x
, ge(x, 0()) -> true()
, ge(0(), s(x)) -> false()
, ge(s(x), s(y)) -> ge(x, y)
, log(0()) -> 0()
, log(s(x)) -> s(log(half(s(x))))}
Proof Output:
Computation stopped due to timeout after 60.0 secondsTool RC1
stdout:
MAYBE
Tool RC2
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: runtime-complexity with respect to
Rules:
{ half(x) -> if(ge(x, s(s(0()))), x)
, if(false(), x) -> 0()
, if(true(), x) -> s(half(p(p(x))))
, p(0()) -> 0()
, p(s(x)) -> x
, ge(x, 0()) -> true()
, ge(0(), s(x)) -> false()
, ge(s(x), s(y)) -> ge(x, y)
, log(0()) -> 0()
, log(s(x)) -> s(log(half(s(x))))}
Proof Output:
Computation stopped due to timeout after 60.0 seconds