MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { active(fib(X)) -> fib(active(X)) , active(fib(N)) -> mark(sel(N, fib1(s(0()), s(0())))) , active(sel(X1, X2)) -> sel(X1, active(X2)) , active(sel(X1, X2)) -> sel(active(X1), X2) , active(sel(s(N), cons(X, XS))) -> mark(sel(N, XS)) , active(sel(0(), cons(X, XS))) -> mark(X) , active(fib1(X, Y)) -> mark(cons(X, fib1(Y, add(X, Y)))) , active(fib1(X1, X2)) -> fib1(X1, active(X2)) , active(fib1(X1, X2)) -> fib1(active(X1), X2) , active(s(X)) -> s(active(X)) , active(cons(X1, X2)) -> cons(active(X1), X2) , active(add(X1, X2)) -> add(X1, active(X2)) , active(add(X1, X2)) -> add(active(X1), X2) , active(add(s(X), Y)) -> mark(s(add(X, Y))) , active(add(0(), X)) -> mark(X) , fib(mark(X)) -> mark(fib(X)) , fib(ok(X)) -> ok(fib(X)) , sel(X1, mark(X2)) -> mark(sel(X1, X2)) , sel(mark(X1), X2) -> mark(sel(X1, X2)) , sel(ok(X1), ok(X2)) -> ok(sel(X1, X2)) , fib1(X1, mark(X2)) -> mark(fib1(X1, X2)) , fib1(mark(X1), X2) -> mark(fib1(X1, X2)) , fib1(ok(X1), ok(X2)) -> ok(fib1(X1, X2)) , s(mark(X)) -> mark(s(X)) , s(ok(X)) -> ok(s(X)) , cons(mark(X1), X2) -> mark(cons(X1, X2)) , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) , add(X1, mark(X2)) -> mark(add(X1, X2)) , add(mark(X1), X2) -> mark(add(X1, X2)) , add(ok(X1), ok(X2)) -> ok(add(X1, X2)) , proper(fib(X)) -> fib(proper(X)) , proper(sel(X1, X2)) -> sel(proper(X1), proper(X2)) , proper(fib1(X1, X2)) -> fib1(proper(X1), proper(X2)) , proper(s(X)) -> s(proper(X)) , proper(0()) -> ok(0()) , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) , proper(add(X1, X2)) -> add(proper(X1), proper(X2)) , top(mark(X)) -> top(proper(X)) , top(ok(X)) -> top(active(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..