MAYBE 1004.39/297.03 MAYBE 1004.39/297.03 1004.39/297.03 We are left with following problem, upon which TcT provides the 1004.39/297.03 certificate MAYBE. 1004.39/297.03 1004.39/297.03 Strict Trs: 1004.39/297.03 { filter(X1, X2, X3) -> n__filter(X1, X2, X3) 1004.39/297.03 , filter(cons(X, Y), 0(), M) -> 1004.39/297.03 cons(0(), n__filter(activate(Y), M, M)) 1004.39/297.03 , filter(cons(X, Y), s(N), M) -> 1004.39/297.03 cons(X, n__filter(activate(Y), N, M)) 1004.39/297.03 , activate(X) -> X 1004.39/297.03 , activate(n__filter(X1, X2, X3)) -> 1004.39/297.03 filter(activate(X1), activate(X2), activate(X3)) 1004.39/297.03 , activate(n__sieve(X)) -> sieve(activate(X)) 1004.39/297.03 , activate(n__nats(X)) -> nats(activate(X)) 1004.39/297.03 , activate(n__s(X)) -> s(activate(X)) 1004.39/297.03 , s(X) -> n__s(X) 1004.39/297.03 , sieve(X) -> n__sieve(X) 1004.39/297.03 , sieve(cons(0(), Y)) -> cons(0(), n__sieve(activate(Y))) 1004.39/297.03 , sieve(cons(s(N), Y)) -> 1004.39/297.03 cons(s(N), n__sieve(n__filter(activate(Y), N, N))) 1004.39/297.03 , nats(N) -> cons(N, n__nats(n__s(N))) 1004.39/297.03 , nats(X) -> n__nats(X) 1004.39/297.03 , zprimes() -> sieve(nats(s(s(0())))) } 1004.39/297.03 Obligation: 1004.39/297.03 innermost runtime complexity 1004.39/297.03 Answer: 1004.39/297.03 MAYBE 1004.39/297.03 1004.39/297.03 Arguments of following rules are not normal-forms: 1004.39/297.03 1004.39/297.03 { filter(cons(X, Y), s(N), M) -> 1004.39/297.03 cons(X, n__filter(activate(Y), N, M)) 1004.39/297.03 , sieve(cons(s(N), Y)) -> 1004.39/297.03 cons(s(N), n__sieve(n__filter(activate(Y), N, N))) } 1004.39/297.03 1004.39/297.03 All above mentioned rules can be savely removed. 1004.39/297.03 1004.39/297.03 We are left with following problem, upon which TcT provides the 1004.39/297.03 certificate MAYBE. 1004.39/297.03 1004.39/297.03 Strict Trs: 1004.39/297.03 { filter(X1, X2, X3) -> n__filter(X1, X2, X3) 1004.39/297.03 , filter(cons(X, Y), 0(), M) -> 1004.39/297.03 cons(0(), n__filter(activate(Y), M, M)) 1004.39/297.03 , activate(X) -> X 1004.39/297.03 , activate(n__filter(X1, X2, X3)) -> 1004.39/297.03 filter(activate(X1), activate(X2), activate(X3)) 1004.39/297.03 , activate(n__sieve(X)) -> sieve(activate(X)) 1004.39/297.03 , activate(n__nats(X)) -> nats(activate(X)) 1004.39/297.03 , activate(n__s(X)) -> s(activate(X)) 1004.39/297.03 , s(X) -> n__s(X) 1004.39/297.03 , sieve(X) -> n__sieve(X) 1004.39/297.03 , sieve(cons(0(), Y)) -> cons(0(), n__sieve(activate(Y))) 1004.39/297.03 , nats(N) -> cons(N, n__nats(n__s(N))) 1004.39/297.03 , nats(X) -> n__nats(X) 1004.39/297.03 , zprimes() -> sieve(nats(s(s(0())))) } 1004.39/297.03 Obligation: 1004.39/297.03 innermost runtime complexity 1004.39/297.03 Answer: 1004.39/297.03 MAYBE 1004.39/297.03 1004.39/297.03 None of the processors succeeded. 1004.39/297.03 1004.39/297.03 Details of failed attempt(s): 1004.39/297.03 ----------------------------- 1004.39/297.03 1) 'empty' failed due to the following reason: 1004.39/297.03 1004.39/297.03 Empty strict component of the problem is NOT empty. 1004.39/297.03 1004.39/297.03 2) 'Best' failed due to the following reason: 1004.39/297.03 1004.39/297.03 None of the processors succeeded. 1004.39/297.03 1004.39/297.03 Details of failed attempt(s): 1004.39/297.03 ----------------------------- 1004.39/297.03 1) 'With Problem ... (timeout of 297 seconds)' failed due to the 1004.39/297.03 following reason: 1004.39/297.03 1004.39/297.03 Computation stopped due to timeout after 297.0 seconds. 1004.39/297.03 1004.39/297.03 2) 'Best' failed due to the following reason: 1004.39/297.03 1004.39/297.03 None of the processors succeeded. 1004.39/297.03 1004.39/297.03 Details of failed attempt(s): 1004.39/297.03 ----------------------------- 1004.39/297.03 1) 'With Problem ... (timeout of 148 seconds) (timeout of 297 1004.39/297.03 seconds)' failed due to the following reason: 1004.39/297.03 1004.39/297.03 Computation stopped due to timeout after 148.0 seconds. 1004.39/297.03 1004.39/297.03 2) 'Best' failed due to the following reason: 1004.39/297.03 1004.39/297.03 None of the processors succeeded. 1004.39/297.03 1004.39/297.03 Details of failed attempt(s): 1004.39/297.03 ----------------------------- 1004.39/297.03 1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the 1004.39/297.03 following reason: 1004.39/297.03 1004.39/297.03 The input cannot be shown compatible 1004.39/297.03 1004.39/297.03 2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due 1004.39/297.03 to the following reason: 1004.39/297.03 1004.39/297.03 The input cannot be shown compatible 1004.39/297.03 1004.39/297.03 1004.39/297.03 3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)' 1004.39/297.03 failed due to the following reason: 1004.39/297.03 1004.39/297.03 None of the processors succeeded. 1004.39/297.03 1004.39/297.03 Details of failed attempt(s): 1004.39/297.03 ----------------------------- 1004.39/297.03 1) 'Bounds with minimal-enrichment and initial automaton 'match'' 1004.39/297.03 failed due to the following reason: 1004.39/297.03 1004.39/297.03 match-boundness of the problem could not be verified. 1004.39/297.03 1004.39/297.03 2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' 1004.39/297.03 failed due to the following reason: 1004.39/297.03 1004.39/297.03 match-boundness of the problem could not be verified. 1004.39/297.03 1004.39/297.03 1004.39/297.03 1004.39/297.03 1004.39/297.03 1004.39/297.03 Arrrr.. 1004.81/297.41 EOF