1.59/0.89 YES 1.59/0.89 1.59/0.89 Proof: 1.59/0.89 This system is confluent. 1.59/0.89 By \cite{SMI95}, Corollary 4.7 or 5.3. 1.59/0.89 This system is oriented. 1.59/0.89 This system is of type 3 or smaller. 1.59/0.89 This system is right-stable. 1.59/0.89 This system is properly oriented. 1.59/0.89 This is an overlay system. 1.59/0.89 This system is left-linear. 1.59/0.89 All 2 critical pairs are trivial or infeasible. 1.59/0.89 Overlap: (rule1: pos(s(y)) -> true <= pos(y) = true, rule2: pos(s(0)) -> true, pos: ε, mgu: {(y,0)}) 1.59/0.89 CP: true = true <= pos(0) = true 1.59/0.89 This critical pair is trivial. 1.59/0.89 Overlap: (rule1: pos(s(0)) -> true, rule2: pos(s(y)) -> true <= pos(y) = true, pos: ε, mgu: {(y,0)}) 1.59/0.89 CP: true = true <= pos(0) = true 1.59/0.89 This critical pair is trivial. 1.59/0.89 3.13/1.54 EOF