6.34/2.49 MAYBE 6.34/2.49 6.34/2.49 Proof: 6.34/2.49 ConCon could not decide confluence of the system. 6.34/2.49 \cite{ALS94}, Theorem 4.1 does not apply. 6.34/2.49 This system is of type 3 or smaller. 6.34/2.49 This system is strongly deterministic. 6.34/2.49 This system is of type 3 or smaller. 6.34/2.49 This system is deterministic. 6.34/2.49 This system is non-terminating. 6.34/2.49 Call external tool: 6.34/2.49 ./ttt2.sh 6.34/2.49 Input: 6.34/2.49 (VAR x y z) 6.34/2.49 (RULES 6.34/2.49 App(App(App(C, F), x), y) -> y 6.34/2.49 App(App(App(C, T), x), y) -> x 6.34/2.49 App(App(App(C, z), x), y) -> ?1(x, z, x, y) 6.34/2.49 ?1(y, z, x, y) -> x 6.34/2.49 App(App(App(S, x), y), z) -> App(App(x, z), App(y, z)) 6.34/2.49 App(I, x) -> x 6.34/2.49 App(App(App(C, z), x), y) -> ?1(x, z, x, y) 6.34/2.49 ?1(y, z, x, y) -> y 6.34/2.49 App(App(K, x), y) -> x 6.34/2.49 ) 6.34/2.49 6.34/2.49 Unfolding Processor: 6.34/2.49 loop length: 3 6.34/2.49 terms: 6.34/2.49 App(App(App(S(),App(S(),x543)),App(App(C(),F()),x666)),App(App(S(),App(S(),x543)), 6.34/2.49 App(App(C(),F()),x666))) 6.34/2.49 App(App(App(S(),x543),App(App(S(),App(S(),x543)),App(App(C(),F()),x666))), 6.34/2.49 App(App(App(C(),F()),x666),App(App(S(),App(S(),x543)),App(App(C(),F()),x666)))) 6.34/2.49 App(App(x543,App(App(App(C(),F()),x666),App(App(S(),App(S(),x543)),App(App(C(),F()),x666)))), 6.34/2.49 App(App(App(S(),App(S(),x543)),App(App(C(),F()),x666)),App(App(App(C(),F()),x666), 6.34/2.49 App 6.34/2.49 (App(S(),App(S(),x543)), 6.34/2.49 App 6.34/2.49 (App(C(),F()),x666))))) 6.34/2.49 context: 6.34/2.49 App(App(x543,App(App(App(C(),F()),x666),App(App(S(),App(S(),x543)),App(App(C(),F()),x666)))),[]) 6.34/2.49 substitution: 6.34/2.49 x543 -> x543 6.34/2.49 x666 -> x666 6.34/2.49 Qed 6.34/2.49 ConCon could not decide if this system is quasi-decreasing. 6.34/2.49 \cite{O02}, p. 214, Proposition 7.2.50 does not apply. 6.34/2.49 This system is of type 3 or smaller. 6.34/2.49 This system is deterministic. 6.34/2.49 This system is non-terminating. 6.34/2.49 Call external tool: 6.34/2.49 ./ttt2.sh 6.34/2.49 Input: 6.34/2.49 (VAR x y z) 6.34/2.49 (RULES 6.34/2.49 App(App(App(C, F), x), y) -> y 6.34/2.49 App(App(App(C, T), x), y) -> x 6.34/2.49 App(App(App(C, z), x), y) -> ?1(x, z, x, y) 6.34/2.49 ?1(y, z, x, y) -> x 6.34/2.49 App(App(App(S, x), y), z) -> App(App(x, z), App(y, z)) 6.34/2.49 App(I, x) -> x 6.34/2.49 App(App(App(C, z), x), y) -> ?1(x, z, x, y) 6.34/2.49 ?1(y, z, x, y) -> y 6.34/2.49 App(App(K, x), y) -> x 6.34/2.49 ) 6.34/2.49 6.34/2.49 Unfolding Processor: 6.34/2.49 loop length: 3 6.34/2.49 terms: 6.34/2.49 App(App(App(S(),App(S(),x543)),App(App(C(),F()),x666)),App(App(S(),App(S(),x543)), 6.34/2.49 App(App(C(),F()),x666))) 6.34/2.49 App(App(App(S(),x543),App(App(S(),App(S(),x543)),App(App(C(),F()),x666))), 6.34/2.49 App(App(App(C(),F()),x666),App(App(S(),App(S(),x543)),App(App(C(),F()),x666)))) 6.34/2.49 App(App(x543,App(App(App(C(),F()),x666),App(App(S(),App(S(),x543)),App(App(C(),F()),x666)))), 6.34/2.49 App(App(App(S(),App(S(),x543)),App(App(C(),F()),x666)),App(App(App(C(),F()),x666), 6.34/2.49 App 6.34/2.49 (App(S(),App(S(),x543)), 6.34/2.49 App 6.34/2.49 (App(C(),F()),x666))))) 6.34/2.49 context: 6.34/2.49 App(App(x543,App(App(App(C(),F()),x666),App(App(S(),App(S(),x543)),App(App(C(),F()),x666)))),[]) 6.34/2.49 substitution: 6.34/2.49 x543 -> x543 6.34/2.49 x666 -> x666 6.34/2.49 Qed 6.34/2.49 6.44/2.53 EOF