2.29/1.14 MAYBE 2.29/1.14 2.29/1.14 Proof: 2.29/1.14 ConCon could not decide confluence of the system. 2.29/1.14 \cite{ALS94}, Theorem 4.1 does not apply. 2.29/1.14 This system is of type 3 or smaller. 2.29/1.14 This system is strongly deterministic. 2.29/1.14 This system is quasi-decreasing. 2.29/1.14 By \cite{A14}, Theorem 11.5.9. 2.29/1.14 This system is of type 3 or smaller. 2.29/1.14 This system is deterministic. 2.29/1.14 System R transformed to V(R) + Emb. 2.29/1.14 This system is terminating. 2.29/1.14 Call external tool: 2.29/1.14 ./ttt2.sh 2.29/1.14 Input: 2.29/1.14 f(x) -> a 2.29/1.14 f(x) -> x 2.29/1.14 a -> b 2.29/1.14 a -> c 2.29/1.14 f(x) -> x 2.29/1.14 2.29/1.14 Polynomial Interpretation Processor: 2.29/1.14 dimension: 1 2.29/1.14 interpretation: 2.29/1.14 [c] = 0, 2.29/1.14 2.29/1.14 [b] = 0, 2.29/1.14 2.29/1.14 [a] = 2, 2.29/1.14 2.29/1.14 [f](x0) = 4x0 + 3 2.29/1.14 orientation: 2.29/1.14 f(x) = 4x + 3 >= 2 = a() 2.29/1.14 2.29/1.14 f(x) = 4x + 3 >= x = x 2.29/1.14 2.29/1.14 a() = 2 >= 0 = b() 2.29/1.14 2.29/1.14 a() = 2 >= 0 = c() 2.29/1.14 problem: 2.29/1.14 2.29/1.14 Qed 2.29/1.14 This critical pair is not trivial. 2.29/1.14 2.29/1.16 EOF