3.20/1.69 MAYBE 3.20/1.69 3.20/1.69 Proof: 3.20/1.69 ConCon could not decide confluence of the system. 3.20/1.69 \cite{ALS94}, Theorem 4.1 does not apply. 3.20/1.69 This system is of type 3 or smaller. 3.20/1.69 This system is strongly deterministic. 3.20/1.69 This system is quasi-decreasing. 3.20/1.69 By \cite{A14}, Theorem 11.5.9. 3.20/1.69 This system is of type 3 or smaller. 3.20/1.69 This system is deterministic. 3.20/1.69 System R transformed to V(R) + Emb. 3.20/1.69 This system is terminating. 3.20/1.69 Call external tool: 3.20/1.69 ./ttt2.sh 3.20/1.69 Input: 3.20/1.69 (VAR x y) 3.20/1.69 (RULES 3.20/1.69 a -> c 3.20/1.69 a -> d 3.20/1.69 f(x, y) -> y 3.20/1.69 f(x, y) -> c 3.20/1.69 f(x, y) -> x 3.20/1.69 f(x, y) -> y 3.20/1.69 ) 3.20/1.69 3.20/1.69 LPO Processor: 3.20/1.69 precedence: 3.20/1.69 f > a > d ~ c 3.20/1.69 problem: 3.20/1.69 3.20/1.69 Qed 3.20/1.69 ConCon could not decide whether all 2 critical pairs are joinable or not. 3.20/1.69 Overlap: (rule1: a -> d, rule2: a -> c, pos: ε, mgu: {}) 3.20/1.69 CP: c = d 3.20/1.69 ConCon could not decide context-joinability of this critical pair. 3.20/1.69 3.29/1.71 EOF