3.41/1.71 YES 3.41/1.71 3.41/1.71 Proof: 3.41/1.71 This system is confluent. 3.41/1.71 Removed infeasible rules from system R. 3.41/1.71 By \cite{ALS94}, Theorem 4.1. 3.41/1.71 This system is of type 3 or smaller. 3.41/1.71 This system is strongly deterministic. 3.41/1.71 This system is quasi-decreasing. 3.41/1.71 By \cite{O02}, p. 214, Proposition 7.2.50. 3.41/1.71 This system is of type 3 or smaller. 3.41/1.71 This system is deterministic. 3.41/1.71 System R transformed to optimized U(R). 3.41/1.71 This system is terminating. 3.41/1.71 Call external tool: 3.41/1.71 ./ttt2.sh 3.41/1.71 Input: 3.41/1.71 (VAR ) 3.41/1.71 (RULES 3.41/1.71 3.41/1.71 ) 3.41/1.71 3.41/1.71 Bounds Processor: 3.41/1.71 bound: 0 3.41/1.71 enrichment: match 3.41/1.71 automaton: 3.41/1.71 final states: {2} 3.41/1.71 transitions: 3.41/1.71 f20() -> 2* 3.41/1.71 problem: 3.41/1.71 3.41/1.71 Qed 3.41/1.71 All 0 critical pairs are joinable. 3.41/1.71 3.41/1.74 EOF