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