2.27/1.59 YES 2.27/1.59 2.27/1.59 Proof: 2.27/1.60 This system is confluent. 2.27/1.60 Removed infeasible rules from system R. 2.27/1.60 By \cite{ALS94}, Theorem 4.1. 2.27/1.60 This system is of type 3 or smaller. 2.27/1.60 This system is strongly deterministic. 2.27/1.60 This system is quasi-decreasing. 2.27/1.60 By \cite{A14}, Theorem 11.5.9. 2.27/1.60 This system is of type 3 or smaller. 2.27/1.60 This system is deterministic. 2.27/1.60 System R transformed to V(R) + Emb. 2.27/1.60 This system is terminating. 2.27/1.60 Call external tool: 2.27/1.60 ./ttt2.sh 2.27/1.60 Input: 2.27/1.60 (VAR x y) 2.27/1.60 (RULES 2.27/1.60 h(x, x) -> A 2.27/1.60 h(x, y) -> x 2.27/1.60 h(x, y) -> y 2.27/1.60 ) 2.27/1.60 2.27/1.60 LPO Processor: 2.27/1.60 precedence: 2.27/1.60 h > A 2.27/1.60 problem: 2.27/1.60 2.27/1.60 Qed 2.27/1.60 All 0 critical pairs are joinable. 2.27/1.60 2.27/1.61 EOF