MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { 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)) , activate(X) -> X , activate(n__filter(X1, X2, X3)) -> filter(X1, X2, X3) , activate(n__sieve(X)) -> sieve(X) , activate(n__nats(X)) -> nats(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(filter(activate(Y), N, N))) , nats(N) -> cons(N, n__nats(s(N))) , nats(X) -> n__nats(X) , zprimes() -> sieve(nats(s(s(0())))) } Obligation: innermost runtime complexity Answer: MAYBE None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'empty' failed due to the following reason: Empty strict component of the problem is NOT empty. 2) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'WithProblem (timeout of 60 seconds)' failed due to the following reason: Computation stopped due to timeout after 60.0 seconds. 2) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'WithProblem (timeout of 30 seconds) (timeout of 60 seconds)' failed due to the following reason: Computation stopped due to timeout after 30.0 seconds. 2) 'Best' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'bsearch-popstar (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 2) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 3) 'Fastest (timeout of 5 seconds) (timeout of 60 seconds)' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. Arrrr..