MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { ite(tt(), u, v) -> u , ite(ff(), u, v) -> v , find(u, v, []()) -> ff() , find(u, v, ::(::(u, v), E)) -> tt() , find(u, v, ::(::(u2, v2), E)) -> find(u, v, E) , complete(u, [](), E) -> tt() , complete(u, ::(v, S), E) -> ite(find(u, v, E), complete(u, S, E), ff()) , clique([](), E) -> tt() , clique(::(u, K), E) -> ite(complete(u, K, E), clique(K, E), ff()) , choice([](), K, E) -> ite(clique(K, E), K, []()) , choice(::(u, S), K, E) -> choice(S, K, E) , choice(::(u, S), K, E) -> choice(S, ::(u, K), E) } Obligation: innermost runtime complexity Answer: MAYBE None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'Fastest' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'custom shape polynomial interpretation' failed due to the following reason: Following exception was raised: stack overflow 2) 'custom shape polynomial interpretation' failed due to the following reason: The input cannot be shown compatible 3) 'linear polynomial interpretation' failed due to the following reason: The input cannot be shown compatible 2) 'Fastest' failed due to the following reason: None of the processors succeeded. Details of failed attempt(s): ----------------------------- 1) 'matrix interpretation of dimension 4' failed due to the following reason: The input cannot be shown compatible 2) 'matrix interpretation of dimension 3' failed due to the following reason: The input cannot be shown compatible 3) 'matrix interpretation of dimension 3' failed due to the following reason: The input cannot be shown compatible 4) 'matrix interpretation of dimension 2' failed due to the following reason: The input cannot be shown compatible 5) 'matrix interpretation of dimension 2' failed due to the following reason: The input cannot be shown compatible 6) 'matrix interpretation of dimension 1' failed due to the following reason: The input cannot be shown compatible Arrrr..