2.99/1.67 MAYBE 2.99/1.67 2.99/1.67 Proof: 2.99/1.67 ConCon could not decide confluence of the system. 2.99/1.67 Inlined conditions in System R. 2.99/1.67 \cite{ALS94}, Theorem 4.1 does not apply. 2.99/1.67 This system is of type 3 or smaller. 2.99/1.67 This system is strongly deterministic. 2.99/1.67 This system is quasi-decreasing. 2.99/1.67 By \cite{A14}, Theorem 11.5.9. 2.99/1.67 This system is of type 3 or smaller. 2.99/1.67 This system is deterministic. 2.99/1.67 System R transformed to V(R) + Emb. 2.99/1.67 This system is terminating. 2.99/1.67 Call external tool: 2.99/1.67 ./ttt2.sh 2.99/1.67 Input: 2.99/1.67 (VAR x y) 2.99/1.67 (RULES 2.99/1.67 a -> c 2.99/1.67 a -> d 2.99/1.67 f(x, y) -> y 2.99/1.67 f(x, y) -> c 2.99/1.67 f(x, y) -> x 2.99/1.67 f(x, y) -> y 2.99/1.67 ) 2.99/1.67 2.99/1.67 LPO Processor: 2.99/1.67 precedence: 2.99/1.67 f > a > d ~ c 2.99/1.67 problem: 2.99/1.67 2.99/1.67 Qed 2.99/1.67 ConCon could not decide whether all 2 critical pairs are joinable or not. 2.99/1.67 Overlap: (rule1: a -> d, rule2: a -> c, pos: ε, mgu: {}) 2.99/1.67 CP: c = d 2.99/1.67 ConCon could not decide context-joinability of this critical pair. 2.99/1.67 3.28/1.69 EOF