YES(?,PRIMREC) We are left with following problem, upon which TcT provides the certificate YES(?,PRIMREC). Strict Trs: { a__f(X) -> g(h(f(X))) , a__f(X) -> f(X) , mark(g(X)) -> g(X) , mark(h(X)) -> h(mark(X)) , mark(f(X)) -> a__f(mark(X)) } Obligation: innermost runtime complexity Answer: YES(?,PRIMREC) The input was oriented with the instance of'multiset path order' as induced by the precedence a__f > g, a__f > h, a__f > f, mark > a__f, mark > g, mark > h, mark > f, g ~ h, g ~ f, h ~ f . Hurray, we answered YES(?,PRIMREC)