MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { a__fib(N) -> a__sel(mark(N), a__fib1(s(0()), s(0()))) , a__fib(X) -> fib(X) , a__sel(X1, X2) -> sel(X1, X2) , a__sel(s(N), cons(X, XS)) -> a__sel(mark(N), mark(XS)) , a__sel(0(), cons(X, XS)) -> mark(X) , mark(s(X)) -> s(mark(X)) , mark(0()) -> 0() , mark(cons(X1, X2)) -> cons(mark(X1), X2) , mark(fib1(X1, X2)) -> a__fib1(mark(X1), mark(X2)) , mark(add(X1, X2)) -> a__add(mark(X1), mark(X2)) , mark(fib(X)) -> a__fib(mark(X)) , mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) , a__fib1(X, Y) -> cons(mark(X), fib1(Y, add(X, Y))) , a__fib1(X1, X2) -> fib1(X1, X2) , a__add(X1, X2) -> add(X1, X2) , a__add(s(X), Y) -> s(a__add(mark(X), mark(Y))) , a__add(0(), X) -> mark(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) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 2) 'bsearch-popstar (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..