2.61/1.76 YES 2.61/1.76 2.61/1.76 Proof: 2.61/1.76 This system is confluent. 2.61/1.76 By \cite{SMI95}, Corollary 4.7 or 5.3. 2.61/1.76 This system is oriented. 2.61/1.76 This system is of type 3 or smaller. 2.61/1.76 This system is right-stable. 2.61/1.76 This system is properly oriented. 2.61/1.76 This is an overlay system. 2.61/1.76 This system is left-linear. 2.61/1.77 All 2 critical pairs are trivial or infeasible. 2.61/1.77 Overlap: (rule1: pos(s(y)) -> true <= pos(y) = true, rule2: pos(s(0)) -> true, pos: ε, mgu: {(y,0)}) 2.61/1.77 CP: true = true <= pos(0) = true 2.61/1.77 This critical pair is trivial. 2.61/1.77 Overlap: (rule1: pos(s(0)) -> true, rule2: pos(s(y)) -> true <= pos(y) = true, pos: ε, mgu: {(y,0)}) 2.61/1.77 CP: true = true <= pos(0) = true 2.61/1.77 This critical pair is trivial. 2.61/1.77 4.93/2.18 EOF