3.03/1.67 YES 3.03/1.67 3.03/1.67 Proof: 3.03/1.67 This system is confluent. 3.03/1.67 Removed infeasible rules from system R. 3.03/1.67 By \cite{ALS94}, Theorem 4.1. 3.03/1.67 This system is of type 3 or smaller. 3.03/1.67 This system is strongly deterministic. 3.03/1.67 This system is quasi-decreasing. 3.03/1.67 By \cite{O02}, p. 214, Proposition 7.2.50. 3.03/1.67 This system is of type 3 or smaller. 3.03/1.67 This system is deterministic. 3.03/1.67 System R transformed to optimized U(R). 3.03/1.67 This system is terminating. 3.03/1.67 Call external tool: 3.03/1.68 ./ttt2.sh 3.03/1.68 Input: 3.03/1.68 (VAR ) 3.03/1.68 (RULES 3.03/1.68 3.03/1.68 ) 3.03/1.68 3.03/1.68 Bounds Processor: 3.03/1.68 bound: 0 3.36/1.68 enrichment: match 3.36/1.68 automaton: 3.36/1.68 final states: {} 3.36/1.68 transitions: 3.36/1.68 problem: 3.36/1.68 3.36/1.68 Qed 3.36/1.68 All 0 critical pairs are joinable. 3.36/1.68 3.36/1.71 EOF