YES Proof: This system is quasi-decreasing. By \cite{O02}, p. 214, Proposition 7.2.50. This system is of type 3 or smaller. This system is deterministic. System R transformed to U(R). Call external tool: ttt2 - trs 30 Input: a -> c a -> d b -> c b -> d g(x, x) -> h(x, x) ?1(c, x) -> x f(x) -> ?1(x, x) DP Processor: DPs: f#(x) -> ?1#(x,x) TRS: a() -> c() a() -> d() b() -> c() b() -> d() g(x,x) -> h(x,x) ?1(c(),x) -> x f(x) -> ?1(x,x) TDG Processor: DPs: f#(x) -> ?1#(x,x) TRS: a() -> c() a() -> d() b() -> c() b() -> d() g(x,x) -> h(x,x) ?1(c(),x) -> x f(x) -> ?1(x,x) graph: Qed