Problem AProVE 09 Inductive gcdhard

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	AProVE 09 Inductive gcdhard

stdout:

MAYBE

Problem:
minus(0(),x) -> 0()
minus(s(x),0()) -> s(x)
minus(s(x),s(y)) -> minus(x,y)
mod(x,0()) -> 0()
mod(x,s(y)) -> if(lt(x,s(y)),x,s(y))
if(true(),x,y) -> x
if(false(),x,y) -> mod(minus(x,y),y)
gcd(x,0()) -> x
gcd(0(),s(y)) -> s(y)
gcd(s(x),s(y)) -> gcd(mod(s(x),s(y)),mod(s(y),s(x)))
lt(x,0()) -> false()
lt(0(),s(x)) -> true()
lt(s(x),s(y)) -> lt(x,y)

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	AProVE 09 Inductive gcdhard

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	AProVE 09 Inductive gcdhard

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  minus(0(), x) -> 0()
     , minus(s(x), 0()) -> s(x)
     , minus(s(x), s(y)) -> minus(x, y)
     , mod(x, 0()) -> 0()
     , mod(x, s(y)) -> if(lt(x, s(y)), x, s(y))
     , if(true(), x, y) -> x
     , if(false(), x, y) -> mod(minus(x, y), y)
     , gcd(x, 0()) -> x
     , gcd(0(), s(y)) -> s(y)
     , gcd(s(x), s(y)) -> gcd(mod(s(x), s(y)), mod(s(y), s(x)))
     , lt(x, 0()) -> false()
     , lt(0(), s(x)) -> true()
     , lt(s(x), s(y)) -> lt(x, y)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	AProVE 09 Inductive gcdhard

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	AProVE 09 Inductive gcdhard

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  minus(0(), x) -> 0()
     , minus(s(x), 0()) -> s(x)
     , minus(s(x), s(y)) -> minus(x, y)
     , mod(x, 0()) -> 0()
     , mod(x, s(y)) -> if(lt(x, s(y)), x, s(y))
     , if(true(), x, y) -> x
     , if(false(), x, y) -> mod(minus(x, y), y)
     , gcd(x, 0()) -> x
     , gcd(0(), s(y)) -> s(y)
     , gcd(s(x), s(y)) -> gcd(mod(s(x), s(y)), mod(s(y), s(x)))
     , lt(x, 0()) -> false()
     , lt(0(), s(x)) -> true()
     , lt(s(x), s(y)) -> lt(x, y)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds