2.96/1.63 YES 2.96/1.63 2.96/1.63 Proof: 2.96/1.64 This system is confluent. 2.96/1.64 Removed infeasible rules from system R. 2.96/1.64 By \cite{ALS94}, Theorem 4.1. 2.96/1.64 This system is of type 3 or smaller. 2.96/1.64 This system is strongly deterministic. 2.96/1.64 This system is quasi-decreasing. 2.96/1.64 By \cite{O02}, p. 214, Proposition 7.2.50. 2.96/1.64 This system is of type 3 or smaller. 2.96/1.64 This system is deterministic. 2.96/1.64 System R transformed to optimized U(R). 2.96/1.64 This system is terminating. 2.96/1.64 Call external tool: 2.96/1.64 ./ttt2.sh 2.96/1.64 Input: 2.96/1.64 (VAR ) 2.96/1.64 (RULES 2.96/1.64 2.96/1.64 ) 2.96/1.64 2.96/1.64 Bounds Processor: 2.96/1.64 bound: 0 2.96/1.64 enrichment: match 2.96/1.64 automaton: 2.96/1.64 final states: {2} 2.96/1.64 transitions: 2.96/1.64 f20() -> 2* 2.96/1.64 problem: 2.96/1.64 2.96/1.64 Qed 2.96/1.64 All 0 critical pairs are joinable. 2.96/1.64 2.96/1.72 EOF