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