MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { nats() -> adx(zeros()) , adx(X) -> n__adx(X) , adx(cons(X, Y)) -> incr(cons(activate(X), n__adx(activate(Y)))) , zeros() -> cons(n__0(), n__zeros()) , zeros() -> n__zeros() , incr(X) -> n__incr(X) , incr(cons(X, Y)) -> cons(n__s(activate(X)), n__incr(activate(Y))) , activate(X) -> X , activate(n__0()) -> 0() , activate(n__zeros()) -> zeros() , activate(n__s(X)) -> s(X) , activate(n__incr(X)) -> incr(X) , activate(n__adx(X)) -> adx(X) , hd(cons(X, Y)) -> activate(X) , tl(cons(X, Y)) -> activate(Y) , 0() -> n__0() , s(X) -> n__s(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) 'Fastest (timeout of 5 seconds) (timeout of 60 seconds)' failed due to the following reason: Computation stopped due to timeout after 5.0 seconds. 3) '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 Arrrr..