0.00/0.49 YES 0.00/0.49 0.00/0.49 Problem: 0.00/0.50 sub(z, 0()) -> z 0.00/0.50 sub(s(z), s(y)) -> x <= sub(z, y) = x 0.00/0.50 0.00/0.50 Proof: 0.00/0.50 This system is confluent. 0.00/0.50 By \cite{GNG13}, Theorem 9. 0.00/0.50 This system is of type 3 or smaller. 0.00/0.50 This system is deterministic. 0.00/0.50 This system is weakly left-linear. 0.00/0.50 System R transformed to optimized U(R). 0.00/0.50 This system is orthogonal. 0.00/0.50 0.00/0.77 EOF