0.00/0.51 YES 0.00/0.51 0.00/0.51 Problem: 0.00/0.51 f(x) -> x <= x = a() 0.00/0.51 g(x) -> C() <= A() = B() 0.00/0.51 A() -> B() 0.00/0.51 0.00/0.51 Proof: 0.00/0.51 This system is confluent. 0.00/0.51 By \cite{GNG13}, Theorem 9. 0.00/0.51 This system is of type 3 or smaller. 0.00/0.51 This system is deterministic. 0.00/0.51 This system is weakly left-linear. 0.00/0.51 System R transformed to optimized U(R). 0.00/0.51 This system is orthogonal. 0.00/0.51 0.00/0.80 EOF