/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:
    a__filter(X1,X2,X3) -> filter(X1,X2,X3)
    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__nats(N) -> cons(mark(N),nats(s(N)))
    a__nats(X) -> nats(X)
    a__sieve(X) -> sieve(X)
    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__zprimes() -> a__sieve(a__nats(s(s(0()))))
    a__zprimes() -> zprimes()
    mark(0()) -> 0()
    mark(cons(X1,X2)) -> cons(mark(X1),X2)
    mark(filter(X1,X2,X3)) -> a__filter(mark(X1),mark(X2),mark(X3))
    mark(nats(X)) -> a__nats(mark(X))
    mark(s(X)) -> s(mark(X))
    mark(sieve(X)) -> a__sieve(mark(X))
    mark(zprimes()) -> a__zprimes()
- Signature:
    {a__filter/3,a__nats/1,a__sieve/1,a__zprimes/0,mark/1} / {0/0,cons/2,filter/3,nats/1,s/1,sieve/1,zprimes/0}
- Obligation:
    innermost derivational complexity wrt. signature {0,a__filter,a__nats,a__sieve,a__zprimes,cons,filter,mark
    ,nats,s,sieve,zprimes}
The problem is still open.