2.74/1.17 YES 2.74/1.17 2.74/1.17 Proof: 2.74/1.17 This system is confluent. 2.74/1.17 By \cite{SMI95}, Corollary 4.7 or 5.3. 2.74/1.17 This system is oriented. 2.74/1.17 This system is of type 3 or smaller. 2.74/1.17 This system is right-stable. 2.74/1.17 This system is properly oriented. 2.74/1.17 This is an overlay system. 2.74/1.17 This system is left-linear. 2.74/1.17 All 2 critical pairs are trivial or infeasible. 2.74/1.17 Overlap: (rule1: g(y) -> a <= h(y) = b, rule2: g(z) -> z, pos: ε, mgu: {(z,y)}) 2.74/1.17 CP: y = a <= h(y) = b 2.74/1.17 This critical pair is infeasible. 2.74/1.17 This critical pair is conditional. 2.74/1.17 This critical pair has some non-trivial conditions. 2.74/1.17 '\Sigma(h(y)) \cap (->^*_R)[\Sigma(REN(b))]' is empty. 2.74/1.17 Overlap: (rule1: g(y) -> y, rule2: g(z) -> a <= h(z) = b, pos: ε, mgu: {(z,y)}) 2.74/1.17 CP: a = y <= h(y) = b 2.74/1.17 This critical pair is infeasible. 2.74/1.17 This critical pair is conditional. 2.74/1.17 This critical pair has some non-trivial conditions. 2.74/1.17 '\Sigma(h(y)) \cap (->^*_R)[\Sigma(REN(b))]' is empty. 2.74/1.17 3.19/1.39 EOF