1.95/1.59 YES 1.95/1.59 1.95/1.59 Proof: 1.95/1.59 This system is confluent. 1.95/1.59 Removed infeasible rules from system R. 1.95/1.59 By \cite{ALS94}, Theorem 4.1. 1.95/1.59 This system is of type 3 or smaller. 1.95/1.59 This system is strongly deterministic. 1.95/1.59 This system is quasi-decreasing. 1.95/1.59 By \cite{O02}, p. 214, Proposition 7.2.50. 1.95/1.59 This system is of type 3 or smaller. 1.95/1.59 This system is deterministic. 1.95/1.59 System R transformed to U(R). 1.95/1.59 This system is terminating. 1.95/1.59 Call external tool: 1.95/1.59 ./ttt2.sh 1.95/1.59 Input: 1.95/1.59 (VAR x) 1.95/1.59 (RULES 1.95/1.59 h(x, x) -> A 1.95/1.59 ) 1.95/1.59 1.95/1.59 LPO Processor: 1.95/1.59 precedence: 1.95/1.59 h > A 1.95/1.59 problem: 1.95/1.59 1.95/1.59 Qed 1.95/1.59 All 0 critical pairs are joinable. 1.95/1.59 2.97/1.61 EOF