We are left with following problem, upon which TcT provides the certificate YES(?,O(n^1)). Strict Trs: { w(r(x)) -> r(w(x)) , b(w(x)) -> w(b(x)) , b(r(x)) -> r(b(x)) } Obligation: runtime complexity Answer: YES(?,O(n^1)) The problem is match-bounded by 1. The enriched problem is compatible with the following automaton. { w_0(2) -> 1 , w_1(2) -> 4 , r_0(2) -> 2 , r_1(4) -> 1 , r_1(4) -> 4 , r_1(5) -> 3 , r_1(5) -> 5 , b_0(2) -> 3 , b_1(2) -> 5 } Hurray, we answered YES(?,O(n^1))