MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { 2nd(cons(X, n__cons(Y, Z))) -> activate(Y) , cons(X1, X2) -> n__cons(X1, X2) , activate(X) -> X , activate(n__cons(X1, X2)) -> cons(activate(X1), X2) , activate(n__from(X)) -> from(activate(X)) , activate(n__s(X)) -> s(activate(X)) , from(X) -> cons(X, n__from(n__s(X))) , from(X) -> n__from(X) , s(X) -> n__s(X) } Obligation: runtime complexity Answer: MAYBE 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 processor is inapplicable, reason: Processor only applicable for innermost runtime complexity analysis 2) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due to the following reason: The processor is inapplicable, reason: Processor only applicable for innermost runtime complexity analysis 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 perSymbol-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. 2) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason: match-boundness of the problem could not be verified. 3) 'Innermost Weak Dependency Pairs (timeout of 60 seconds)' failed due to the following reason: We add the following weak dependency pairs: Strict DPs: { 2nd^#(cons(X, n__cons(Y, Z))) -> c_1(activate^#(Y)) , activate^#(X) -> c_3(X) , activate^#(n__cons(X1, X2)) -> c_4(cons^#(activate(X1), X2)) , activate^#(n__from(X)) -> c_5(from^#(activate(X))) , activate^#(n__s(X)) -> c_6(s^#(activate(X))) , cons^#(X1, X2) -> c_2(X1, X2) , from^#(X) -> c_7(cons^#(X, n__from(n__s(X)))) , from^#(X) -> c_8(X) , s^#(X) -> c_9(X) } and mark the set of starting terms. We are left with following problem, upon which TcT provides the certificate MAYBE. Strict DPs: { 2nd^#(cons(X, n__cons(Y, Z))) -> c_1(activate^#(Y)) , activate^#(X) -> c_3(X) , activate^#(n__cons(X1, X2)) -> c_4(cons^#(activate(X1), X2)) , activate^#(n__from(X)) -> c_5(from^#(activate(X))) , activate^#(n__s(X)) -> c_6(s^#(activate(X))) , cons^#(X1, X2) -> c_2(X1, X2) , from^#(X) -> c_7(cons^#(X, n__from(n__s(X)))) , from^#(X) -> c_8(X) , s^#(X) -> c_9(X) } Strict Trs: { 2nd(cons(X, n__cons(Y, Z))) -> activate(Y) , cons(X1, X2) -> n__cons(X1, X2) , activate(X) -> X , activate(n__cons(X1, X2)) -> cons(activate(X1), X2) , activate(n__from(X)) -> from(activate(X)) , activate(n__s(X)) -> s(activate(X)) , from(X) -> cons(X, n__from(n__s(X))) , from(X) -> n__from(X) , s(X) -> n__s(X) } Obligation: runtime complexity Answer: MAYBE Empty strict component of the problem is NOT empty. Arrrr..