4.36/2.04 MAYBE 4.36/2.04 4.36/2.04 Proof: 4.36/2.04 ConCon could not decide confluence of the system. 4.36/2.04 \cite{ALS94}, Theorem 4.1 does not apply. 4.36/2.04 This system is of type 3 or smaller. 4.36/2.04 This system is strongly deterministic. 4.36/2.04 This system is quasi-decreasing. 4.36/2.04 By \cite{A14}, Theorem 11.5.9. 4.36/2.04 This system is of type 3 or smaller. 4.36/2.04 This system is deterministic. 4.36/2.04 System R transformed to V(R) + Emb. 4.36/2.04 This system is terminating. 4.36/2.04 Call external tool: 4.36/2.04 ./ttt2.sh 4.36/2.04 Input: 4.36/2.04 (VAR x) 4.36/2.04 (RULES 4.36/2.04 f(g(x)) -> x 4.36/2.04 g(s(x)) -> g(x) 4.36/2.04 s(x) -> x 4.36/2.04 g(x) -> x 4.36/2.04 f(x) -> x 4.36/2.04 ) 4.36/2.04 4.36/2.04 KBO Processor: 4.36/2.04 weight function: 4.36/2.04 w0 = 1 4.36/2.04 w(s) = w(g) = 1 4.36/2.04 w(f) = 0 4.36/2.04 precedence: 4.36/2.04 f > s ~ g 4.36/2.04 problem: 4.36/2.04 4.36/2.04 Qed 4.36/2.04 This critical pair is conditional. 4.36/2.04 This critical pair has some non-trivial conditions. 4.36/2.04 ConCon could not decide whether all 1 critical pairs are joinable or not. 4.36/2.04 Overlap: (rule1: f(g(y)) -> y <= y = s(0), rule2: g(s(z)) -> g(z), pos: 1, mgu: {(y,s(z))}) 4.36/2.04 CP: f(g(z)) = s(z) <= s(z) = s(0) 4.36/2.04 ConCon could not decide infeasibility of this critical pair. 4.36/2.04 4.50/2.07 EOF