Tool CaT
stdout:
MAYBE
Problem:
cond(true(),x) -> cond(and(even(x),gr(x,0())),p(x))
and(x,false()) -> false()
and(false(),x) -> false()
and(true(),true()) -> true()
even(0()) -> true()
even(s(0())) -> false()
even(s(s(x))) -> even(x)
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:
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:
{ cond(true(), x) -> cond(and(even(x), gr(x, 0())), p(x))
, and(x, false()) -> false()
, and(false(), x) -> false()
, and(true(), true()) -> true()
, even(0()) -> true()
, even(s(0())) -> false()
, even(s(s(x))) -> even(x)
, 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 secondsTool RC1
stdout:
MAYBE
Tool RC2
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: runtime-complexity with respect to
Rules:
{ cond(true(), x) -> cond(and(even(x), gr(x, 0())), p(x))
, and(x, false()) -> false()
, and(false(), x) -> false()
, and(true(), true()) -> true()
, even(0()) -> true()
, even(s(0())) -> false()
, even(s(s(x))) -> even(x)
, 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