Problem Transformed CSR 04 ExIntrod GM99 GM

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM99 GM

stdout:

MAYBE

Problem:
a__primes() -> a__sieve(a__from(s(s(0()))))
a__from(X) -> cons(mark(X),from(s(X)))
a__head(cons(X,Y)) -> mark(X)
a__tail(cons(X,Y)) -> mark(Y)
a__if(true(),X,Y) -> mark(X)
a__if(false(),X,Y) -> mark(Y)
a__filter(s(s(X)),cons(Y,Z)) ->
a__if(divides(s(s(mark(X))),mark(Y)),filter(s(s(X)),Z),cons(Y,filter(X,sieve(Y))))
a__sieve(cons(X,Y)) -> cons(mark(X),filter(X,sieve(Y)))
mark(primes()) -> a__primes()
mark(sieve(X)) -> a__sieve(mark(X))
mark(from(X)) -> a__from(mark(X))
mark(head(X)) -> a__head(mark(X))
mark(tail(X)) -> a__tail(mark(X))
mark(if(X1,X2,X3)) -> a__if(mark(X1),X2,X3)
mark(filter(X1,X2)) -> a__filter(mark(X1),mark(X2))
mark(s(X)) -> s(mark(X))
mark(0()) -> 0()
mark(cons(X1,X2)) -> cons(mark(X1),X2)
mark(true()) -> true()
mark(false()) -> false()
mark(divides(X1,X2)) -> divides(mark(X1),mark(X2))
a__primes() -> primes()
a__sieve(X) -> sieve(X)
a__from(X) -> from(X)
a__head(X) -> head(X)
a__tail(X) -> tail(X)
a__if(X1,X2,X3) -> if(X1,X2,X3)
a__filter(X1,X2) -> filter(X1,X2)

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM99 GM

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 ExIntrod GM99 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a__primes() -> a__sieve(a__from(s(s(0()))))
     , a__from(X) -> cons(mark(X), from(s(X)))
     , a__head(cons(X, Y)) -> mark(X)
     , a__tail(cons(X, Y)) -> mark(Y)
     , a__if(true(), X, Y) -> mark(X)
     , a__if(false(), X, Y) -> mark(Y)
     , a__filter(s(s(X)), cons(Y, Z)) ->
       a__if(divides(s(s(mark(X))), mark(Y)),
             filter(s(s(X)), Z),
             cons(Y, filter(X, sieve(Y))))
     , a__sieve(cons(X, Y)) -> cons(mark(X), filter(X, sieve(Y)))
     , mark(primes()) -> a__primes()
     , mark(sieve(X)) -> a__sieve(mark(X))
     , mark(from(X)) -> a__from(mark(X))
     , mark(head(X)) -> a__head(mark(X))
     , mark(tail(X)) -> a__tail(mark(X))
     , mark(if(X1, X2, X3)) -> a__if(mark(X1), X2, X3)
     , mark(filter(X1, X2)) -> a__filter(mark(X1), mark(X2))
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(true()) -> true()
     , mark(false()) -> false()
     , mark(divides(X1, X2)) -> divides(mark(X1), mark(X2))
     , a__primes() -> primes()
     , a__sieve(X) -> sieve(X)
     , a__from(X) -> from(X)
     , a__head(X) -> head(X)
     , a__tail(X) -> tail(X)
     , a__if(X1, X2, X3) -> if(X1, X2, X3)
     , a__filter(X1, X2) -> filter(X1, X2)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM99 GM

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 ExIntrod GM99 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a__primes() -> a__sieve(a__from(s(s(0()))))
     , a__from(X) -> cons(mark(X), from(s(X)))
     , a__head(cons(X, Y)) -> mark(X)
     , a__tail(cons(X, Y)) -> mark(Y)
     , a__if(true(), X, Y) -> mark(X)
     , a__if(false(), X, Y) -> mark(Y)
     , a__filter(s(s(X)), cons(Y, Z)) ->
       a__if(divides(s(s(mark(X))), mark(Y)),
             filter(s(s(X)), Z),
             cons(Y, filter(X, sieve(Y))))
     , a__sieve(cons(X, Y)) -> cons(mark(X), filter(X, sieve(Y)))
     , mark(primes()) -> a__primes()
     , mark(sieve(X)) -> a__sieve(mark(X))
     , mark(from(X)) -> a__from(mark(X))
     , mark(head(X)) -> a__head(mark(X))
     , mark(tail(X)) -> a__tail(mark(X))
     , mark(if(X1, X2, X3)) -> a__if(mark(X1), X2, X3)
     , mark(filter(X1, X2)) -> a__filter(mark(X1), mark(X2))
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(true()) -> true()
     , mark(false()) -> false()
     , mark(divides(X1, X2)) -> divides(mark(X1), mark(X2))
     , a__primes() -> primes()
     , a__sieve(X) -> sieve(X)
     , a__from(X) -> from(X)
     , a__head(X) -> head(X)
     , a__tail(X) -> tail(X)
     , a__if(X1, X2, X3) -> if(X1, X2, X3)
     , a__filter(X1, X2) -> filter(X1, X2)}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds