/export/starexec/sandbox/solver/bin/starexec_run_tct_dci_cert /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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MAYBE
EmptyProcessor
- Strict TRS:
    active(filter(cons(X,Y),0(),M)) -> mark(cons(0(),filter(Y,M,M)))
    active(filter(cons(X,Y),s(N),M)) -> mark(cons(X,filter(Y,N,M)))
    active(nats(N)) -> mark(cons(N,nats(s(N))))
    active(sieve(cons(0(),Y))) -> mark(cons(0(),sieve(Y)))
    active(sieve(cons(s(N),Y))) -> mark(cons(s(N),sieve(filter(Y,N,N))))
    active(zprimes()) -> mark(sieve(nats(s(s(0())))))
    cons(X1,active(X2)) -> cons(X1,X2)
    cons(X1,mark(X2)) -> cons(X1,X2)
    cons(active(X1),X2) -> cons(X1,X2)
    cons(mark(X1),X2) -> cons(X1,X2)
    filter(X1,X2,active(X3)) -> filter(X1,X2,X3)
    filter(X1,X2,mark(X3)) -> filter(X1,X2,X3)
    filter(X1,active(X2),X3) -> filter(X1,X2,X3)
    filter(X1,mark(X2),X3) -> filter(X1,X2,X3)
    filter(active(X1),X2,X3) -> filter(X1,X2,X3)
    filter(mark(X1),X2,X3) -> filter(X1,X2,X3)
    mark(0()) -> active(0())
    mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
    mark(filter(X1,X2,X3)) -> active(filter(mark(X1),mark(X2),mark(X3)))
    mark(nats(X)) -> active(nats(mark(X)))
    mark(s(X)) -> active(s(mark(X)))
    mark(sieve(X)) -> active(sieve(mark(X)))
    mark(zprimes()) -> active(zprimes())
    nats(active(X)) -> nats(X)
    nats(mark(X)) -> nats(X)
    s(active(X)) -> s(X)
    s(mark(X)) -> s(X)
    sieve(active(X)) -> sieve(X)
    sieve(mark(X)) -> sieve(X)
- Signature:
    {active/1,cons/2,filter/3,mark/1,nats/1,s/1,sieve/1} / {0/0,zprimes/0}
- Obligation:
    innermost derivational complexity wrt. signature {0,active,cons,filter,mark,nats,s,sieve,zprimes}
The problem is still open.