Tool CaT
stdout:
MAYBE
Problem:
-(x,0()) -> x
-(s(x),s(y)) -> -(x,y)
+(0(),y) -> y
+(s(x),y) -> s(+(x,y))
*(x,0()) -> 0()
*(x,s(y)) -> +(x,*(x,y))
p(s(x)) -> x
f(s(x)) -> f(-(p(*(s(x),s(x))),*(s(x),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:
{ -(x, 0()) -> x
, -(s(x), s(y)) -> -(x, y)
, +(0(), y) -> y
, +(s(x), y) -> s(+(x, y))
, *(x, 0()) -> 0()
, *(x, s(y)) -> +(x, *(x, y))
, p(s(x)) -> x
, f(s(x)) -> f(-(p(*(s(x), s(x))), *(s(x), 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:
{ -(x, 0()) -> x
, -(s(x), s(y)) -> -(x, y)
, +(0(), y) -> y
, +(s(x), y) -> s(+(x, y))
, *(x, 0()) -> 0()
, *(x, s(y)) -> +(x, *(x, y))
, p(s(x)) -> x
, f(s(x)) -> f(-(p(*(s(x), s(x))), *(s(x), s(x))))}
Proof Output:
Computation stopped due to timeout after 60.0 seconds