MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { a__from(X) -> cons(mark(X), from(s(X))) , a__from(X) -> from(X) , mark(cons(X1, X2)) -> cons(mark(X1), X2) , mark(from(X)) -> a__from(mark(X)) , mark(s(X)) -> s(mark(X)) , mark(0()) -> 0() , mark(rnil()) -> rnil() , mark(rcons(X1, X2)) -> rcons(mark(X1), mark(X2)) , mark(posrecip(X)) -> posrecip(mark(X)) , mark(negrecip(X)) -> negrecip(mark(X)) , mark(2ndspos(X1, X2)) -> a__2ndspos(mark(X1), mark(X2)) , mark(2ndsneg(X1, X2)) -> a__2ndsneg(mark(X1), mark(X2)) , mark(pi(X)) -> a__pi(mark(X)) , mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) , mark(times(X1, X2)) -> a__times(mark(X1), mark(X2)) , mark(square(X)) -> a__square(mark(X)) , mark(nil()) -> nil() , a__2ndspos(X1, X2) -> 2ndspos(X1, X2) , a__2ndspos(s(N), cons(X, cons(Y, Z))) -> rcons(posrecip(mark(Y)), a__2ndsneg(mark(N), mark(Z))) , a__2ndspos(0(), Z) -> rnil() , a__2ndsneg(X1, X2) -> 2ndsneg(X1, X2) , a__2ndsneg(s(N), cons(X, cons(Y, Z))) -> rcons(negrecip(mark(Y)), a__2ndspos(mark(N), mark(Z))) , a__2ndsneg(0(), Z) -> rnil() , a__pi(X) -> a__2ndspos(mark(X), a__from(0())) , a__pi(X) -> pi(X) , a__plus(X1, X2) -> plus(X1, X2) , a__plus(s(X), Y) -> s(a__plus(mark(X), mark(Y))) , a__plus(0(), Y) -> mark(Y) , a__times(X1, X2) -> times(X1, X2) , a__times(s(X), Y) -> a__plus(mark(Y), a__times(mark(X), mark(Y))) , a__times(0(), Y) -> 0() , a__square(X) -> a__times(mark(X), mark(X)) , a__square(X) -> square(X) } 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..