MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { active(from(X)) -> from(active(X)) , active(from(X)) -> mark(cons(X, from(s(X)))) , active(cons(X1, X2)) -> cons(active(X1), X2) , active(s(X)) -> s(active(X)) , active(head(X)) -> head(active(X)) , active(head(cons(X, XS))) -> mark(X) , active(2nd(X)) -> 2nd(active(X)) , active(2nd(cons(X, XS))) -> mark(head(XS)) , active(take(X1, X2)) -> take(X1, active(X2)) , active(take(X1, X2)) -> take(active(X1), X2) , active(take(s(N), cons(X, XS))) -> mark(cons(X, take(N, XS))) , active(take(0(), XS)) -> mark(nil()) , 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) , from(mark(X)) -> mark(from(X)) , from(ok(X)) -> ok(from(X)) , cons(mark(X1), X2) -> mark(cons(X1, X2)) , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) , s(mark(X)) -> mark(s(X)) , s(ok(X)) -> ok(s(X)) , head(mark(X)) -> mark(head(X)) , head(ok(X)) -> ok(head(X)) , 2nd(mark(X)) -> mark(2nd(X)) , 2nd(ok(X)) -> ok(2nd(X)) , take(X1, mark(X2)) -> mark(take(X1, X2)) , take(mark(X1), X2) -> mark(take(X1, X2)) , take(ok(X1), ok(X2)) -> ok(take(X1, X2)) , 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)) , proper(from(X)) -> from(proper(X)) , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) , proper(s(X)) -> s(proper(X)) , proper(head(X)) -> head(proper(X)) , proper(2nd(X)) -> 2nd(proper(X)) , proper(take(X1, X2)) -> take(proper(X1), proper(X2)) , proper(0()) -> ok(0()) , proper(nil()) -> ok(nil()) , proper(sel(X1, X2)) -> sel(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) '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..