MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { active(pairNs()) -> mark(cons(0(), incr(oddNs()))) , active(cons(X1, X2)) -> cons(active(X1), X2) , active(incr(X)) -> incr(active(X)) , active(incr(cons(X, XS))) -> mark(cons(s(X), incr(XS))) , active(oddNs()) -> mark(incr(pairNs())) , active(s(X)) -> s(active(X)) , active(take(X1, X2)) -> take(X1, active(X2)) , active(take(X1, X2)) -> take(active(X1), X2) , active(take(0(), XS)) -> mark(nil()) , active(take(s(N), cons(X, XS))) -> mark(cons(X, take(N, XS))) , active(zip(X1, X2)) -> zip(X1, active(X2)) , active(zip(X1, X2)) -> zip(active(X1), X2) , active(zip(X, nil())) -> mark(nil()) , active(zip(cons(X, XS), cons(Y, YS))) -> mark(cons(pair(X, Y), zip(XS, YS))) , active(zip(nil(), XS)) -> mark(nil()) , active(pair(X1, X2)) -> pair(X1, active(X2)) , active(pair(X1, X2)) -> pair(active(X1), X2) , active(tail(X)) -> tail(active(X)) , active(tail(cons(X, XS))) -> mark(XS) , active(repItems(X)) -> repItems(active(X)) , active(repItems(cons(X, XS))) -> mark(cons(X, cons(X, repItems(XS)))) , active(repItems(nil())) -> mark(nil()) , cons(mark(X1), X2) -> mark(cons(X1, X2)) , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) , incr(mark(X)) -> mark(incr(X)) , incr(ok(X)) -> ok(incr(X)) , s(mark(X)) -> mark(s(X)) , s(ok(X)) -> ok(s(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)) , zip(X1, mark(X2)) -> mark(zip(X1, X2)) , zip(mark(X1), X2) -> mark(zip(X1, X2)) , zip(ok(X1), ok(X2)) -> ok(zip(X1, X2)) , pair(X1, mark(X2)) -> mark(pair(X1, X2)) , pair(mark(X1), X2) -> mark(pair(X1, X2)) , pair(ok(X1), ok(X2)) -> ok(pair(X1, X2)) , tail(mark(X)) -> mark(tail(X)) , tail(ok(X)) -> ok(tail(X)) , repItems(mark(X)) -> mark(repItems(X)) , repItems(ok(X)) -> ok(repItems(X)) , proper(pairNs()) -> ok(pairNs()) , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) , proper(0()) -> ok(0()) , proper(incr(X)) -> incr(proper(X)) , proper(oddNs()) -> ok(oddNs()) , proper(s(X)) -> s(proper(X)) , proper(take(X1, X2)) -> take(proper(X1), proper(X2)) , proper(nil()) -> ok(nil()) , proper(zip(X1, X2)) -> zip(proper(X1), proper(X2)) , proper(pair(X1, X2)) -> pair(proper(X1), proper(X2)) , proper(tail(X)) -> tail(proper(X)) , proper(repItems(X)) -> repItems(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..