MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { active(eq(X, Y)) -> mark(false()) , active(eq(0(), 0())) -> mark(true()) , active(eq(s(X), s(Y))) -> mark(eq(X, Y)) , active(inf(X)) -> mark(cons(X, inf(s(X)))) , active(inf(X)) -> inf(active(X)) , active(take(X1, X2)) -> take(X1, active(X2)) , active(take(X1, X2)) -> take(active(X1), X2) , active(take(0(), X)) -> mark(nil()) , active(take(s(X), cons(Y, L))) -> mark(cons(Y, take(X, L))) , active(length(X)) -> length(active(X)) , active(length(cons(X, L))) -> mark(s(length(L))) , active(length(nil())) -> mark(0()) , eq(ok(X1), ok(X2)) -> ok(eq(X1, X2)) , s(ok(X)) -> ok(s(X)) , inf(mark(X)) -> mark(inf(X)) , inf(ok(X)) -> ok(inf(X)) , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) , 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)) , length(mark(X)) -> mark(length(X)) , length(ok(X)) -> ok(length(X)) , proper(eq(X1, X2)) -> eq(proper(X1), proper(X2)) , proper(0()) -> ok(0()) , proper(true()) -> ok(true()) , proper(s(X)) -> s(proper(X)) , proper(false()) -> ok(false()) , proper(inf(X)) -> inf(proper(X)) , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) , proper(take(X1, X2)) -> take(proper(X1), proper(X2)) , proper(nil()) -> ok(nil()) , proper(length(X)) -> length(proper(X)) , 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..