Problem Transformed CSR 04 Ex9 BLR02 GM

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex9 BLR02 GM

stdout:

MAYBE

Problem:
a__filter(cons(X,Y),0(),M) -> cons(0(),filter(Y,M,M))
a__filter(cons(X,Y),s(N),M) -> cons(mark(X),filter(Y,N,M))
a__sieve(cons(0(),Y)) -> cons(0(),sieve(Y))
a__sieve(cons(s(N),Y)) -> cons(s(mark(N)),sieve(filter(Y,N,N)))
a__nats(N) -> cons(mark(N),nats(s(N)))
a__zprimes() -> a__sieve(a__nats(s(s(0()))))
mark(filter(X1,X2,X3)) -> a__filter(mark(X1),mark(X2),mark(X3))
mark(sieve(X)) -> a__sieve(mark(X))
mark(nats(X)) -> a__nats(mark(X))
mark(zprimes()) -> a__zprimes()
mark(cons(X1,X2)) -> cons(mark(X1),X2)
mark(0()) -> 0()
mark(s(X)) -> s(mark(X))
a__filter(X1,X2,X3) -> filter(X1,X2,X3)
a__sieve(X) -> sieve(X)
a__nats(X) -> nats(X)
a__zprimes() -> zprimes()

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex9 BLR02 GM

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex9 BLR02 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a__filter(cons(X, Y), 0(), M) -> cons(0(), filter(Y, M, M))
     , a__filter(cons(X, Y), s(N), M) -> cons(mark(X), filter(Y, N, M))
     , a__sieve(cons(0(), Y)) -> cons(0(), sieve(Y))
     , a__sieve(cons(s(N), Y)) ->
       cons(s(mark(N)), sieve(filter(Y, N, N)))
     , a__nats(N) -> cons(mark(N), nats(s(N)))
     , a__zprimes() -> a__sieve(a__nats(s(s(0()))))
     , mark(filter(X1, X2, X3)) ->
       a__filter(mark(X1), mark(X2), mark(X3))
     , mark(sieve(X)) -> a__sieve(mark(X))
     , mark(nats(X)) -> a__nats(mark(X))
     , mark(zprimes()) -> a__zprimes()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(0()) -> 0()
     , mark(s(X)) -> s(mark(X))
     , a__filter(X1, X2, X3) -> filter(X1, X2, X3)
     , a__sieve(X) -> sieve(X)
     , a__nats(X) -> nats(X)
     , a__zprimes() -> zprimes()}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Transformed CSR 04 Ex9 BLR02 GM

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Transformed CSR 04 Ex9 BLR02 GM

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a__filter(cons(X, Y), 0(), M) -> cons(0(), filter(Y, M, M))
     , a__filter(cons(X, Y), s(N), M) -> cons(mark(X), filter(Y, N, M))
     , a__sieve(cons(0(), Y)) -> cons(0(), sieve(Y))
     , a__sieve(cons(s(N), Y)) ->
       cons(s(mark(N)), sieve(filter(Y, N, N)))
     , a__nats(N) -> cons(mark(N), nats(s(N)))
     , a__zprimes() -> a__sieve(a__nats(s(s(0()))))
     , mark(filter(X1, X2, X3)) ->
       a__filter(mark(X1), mark(X2), mark(X3))
     , mark(sieve(X)) -> a__sieve(mark(X))
     , mark(nats(X)) -> a__nats(mark(X))
     , mark(zprimes()) -> a__zprimes()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(0()) -> 0()
     , mark(s(X)) -> s(mark(X))
     , a__filter(X1, X2, X3) -> filter(X1, X2, X3)
     , a__sieve(X) -> sieve(X)
     , a__nats(X) -> nats(X)
     , a__zprimes() -> zprimes()}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds