MAYBE We are left with following problem, upon which TcT provides the certificate MAYBE. Strict Trs: { a__nats() -> cons(0(), incr(nats())) , a__nats() -> nats() , a__pairs() -> cons(0(), incr(odds())) , a__pairs() -> pairs() , a__odds() -> odds() , a__odds() -> a__incr(a__pairs()) , a__incr(X) -> incr(X) , a__incr(cons(X, XS)) -> cons(s(mark(X)), incr(XS)) , mark(cons(X1, X2)) -> cons(mark(X1), X2) , mark(0()) -> 0() , mark(incr(X)) -> a__incr(mark(X)) , mark(nats()) -> a__nats() , mark(odds()) -> a__odds() , mark(s(X)) -> s(mark(X)) , mark(pairs()) -> a__pairs() , mark(head(X)) -> a__head(mark(X)) , mark(tail(X)) -> a__tail(mark(X)) , mark(nil()) -> nil() , a__head(X) -> head(X) , a__head(cons(X, XS)) -> mark(X) , a__tail(X) -> tail(X) , a__tail(cons(X, XS)) -> mark(XS) } 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) 'Polynomial Path Order (PS) (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible 2) 'bsearch-popstar (timeout of 60 seconds)' failed due to the following reason: The input cannot be shown compatible Arrrr..