/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


NO

Problem 1: 

(VAR M N X Y)
(RULES
filter(cons(X,Y),0,M) -> cons(0,filter(Y,M,M))
filter(cons(X,Y),s(N),M) -> cons(X,filter(Y,N,M))
nats(N) -> cons(N,nats(s(N)))
sieve(cons(0,Y)) -> cons(0,sieve(Y))
sieve(cons(s(N),Y)) -> cons(s(N),sieve(filter(Y,N,N)))
zprimes -> sieve(nats(s(s(0))))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 FILTER(cons(X,Y),0,M) -> FILTER(Y,M,M)
 FILTER(cons(X,Y),s(N),M) -> FILTER(Y,N,M)
 NATS(N) -> NATS(s(N))
 SIEVE(cons(0,Y)) -> SIEVE(Y)
 SIEVE(cons(s(N),Y)) -> FILTER(Y,N,N)
 SIEVE(cons(s(N),Y)) -> SIEVE(filter(Y,N,N))
 ZPRIMES -> NATS(s(s(0)))
 ZPRIMES -> SIEVE(nats(s(s(0))))
-> Rules:
 filter(cons(X,Y),0,M) -> cons(0,filter(Y,M,M))
 filter(cons(X,Y),s(N),M) -> cons(X,filter(Y,N,M))
 nats(N) -> cons(N,nats(s(N)))
 sieve(cons(0,Y)) -> cons(0,sieve(Y))
 sieve(cons(s(N),Y)) -> cons(s(N),sieve(filter(Y,N,N)))
 zprimes -> sieve(nats(s(s(0))))

Problem 1: 

Infinite Processor:
-> Pairs:
 FILTER(cons(X,Y),0,M) -> FILTER(Y,M,M)
 FILTER(cons(X,Y),s(N),M) -> FILTER(Y,N,M)
 NATS(N) -> NATS(s(N))
 SIEVE(cons(0,Y)) -> SIEVE(Y)
 SIEVE(cons(s(N),Y)) -> FILTER(Y,N,N)
 SIEVE(cons(s(N),Y)) -> SIEVE(filter(Y,N,N))
 ZPRIMES -> NATS(s(s(0)))
 ZPRIMES -> SIEVE(nats(s(s(0))))
-> Rules:
 filter(cons(X,Y),0,M) -> cons(0,filter(Y,M,M))
 filter(cons(X,Y),s(N),M) -> cons(X,filter(Y,N,M))
 nats(N) -> cons(N,nats(s(N)))
 sieve(cons(0,Y)) -> cons(0,sieve(Y))
 sieve(cons(s(N),Y)) -> cons(s(N),sieve(filter(Y,N,N)))
 zprimes -> sieve(nats(s(s(0))))
-> Pairs in cycle:
 NATS(N) -> NATS(s(N))

The problem is infinite.