/export/starexec/sandbox/solver/bin/starexec_run_tct_rc_cert /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE EmptyProcessor - Strict TRS: activate(X) -> X activate(n__filter(X1,X2,X3)) -> filter(activate(X1),activate(X2),activate(X3)) activate(n__nats(X)) -> nats(activate(X)) activate(n__s(X)) -> s(activate(X)) activate(n__sieve(X)) -> sieve(activate(X)) filter(X1,X2,X3) -> n__filter(X1,X2,X3) filter(cons(X,Y),0(),M) -> cons(0(),n__filter(activate(Y),M,M)) filter(cons(X,Y),s(N),M) -> cons(X,n__filter(activate(Y),N,M)) nats(N) -> cons(N,n__nats(n__s(N))) nats(X) -> n__nats(X) s(X) -> n__s(X) sieve(X) -> n__sieve(X) sieve(cons(0(),Y)) -> cons(0(),n__sieve(activate(Y))) sieve(cons(s(N),Y)) -> cons(s(N),n__sieve(n__filter(activate(Y),N,N))) zprimes() -> sieve(nats(s(s(0())))) - Signature: {activate/1,filter/3,nats/1,s/1,sieve/1,zprimes/0} / {0/0,cons/2,n__filter/3,n__nats/1,n__s/1,n__sieve/1} - Obligation: runtime complexity wrt. defined symbols {activate,filter,nats,s,sieve,zprimes} and constructors {0,cons ,n__filter,n__nats,n__s,n__sieve} The problem is still open.