MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { a__pairNs() -> cons(0(), incr(oddNs())) , a__pairNs() -> pairNs() , a__oddNs() -> oddNs() , a__oddNs() -> a__incr(a__pairNs()) , a__incr(X) -> incr(X) , a__incr(cons(X, XS)) -> cons(s(mark(X)), incr(XS)) , mark(cons(X1, X2)) -> cons(mark(X1), X2) , mark(0()) -> 0() , mark(incr(X)) -> a__incr(mark(X)) , mark(oddNs()) -> a__oddNs() , mark(s(X)) -> s(mark(X)) , mark(nil()) -> nil() , mark(take(X1, X2)) -> a__take(mark(X1), mark(X2)) , mark(pair(X1, X2)) -> pair(mark(X1), mark(X2)) , mark(zip(X1, X2)) -> a__zip(mark(X1), mark(X2)) , mark(repItems(X)) -> a__repItems(mark(X)) , mark(pairNs()) -> a__pairNs() , mark(tail(X)) -> a__tail(mark(X)) , a__take(X1, X2) -> take(X1, X2) , a__take(0(), XS) -> nil() , a__take(s(N), cons(X, XS)) -> cons(mark(X), take(N, XS)) , a__zip(X1, X2) -> zip(X1, X2) , a__zip(X, nil()) -> nil() , a__zip(cons(X, XS), cons(Y, YS)) -> cons(pair(mark(X), mark(Y)), zip(XS, YS)) , a__zip(nil(), XS) -> nil() , a__tail(X) -> tail(X) , a__tail(cons(X, XS)) -> mark(XS) , a__repItems(X) -> repItems(X) , a__repItems(cons(X, XS)) -> cons(mark(X), cons(X, repItems(XS))) , a__repItems(nil()) -> nil() } 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..