YES Prover = TRS(tech=GUIDED_UNF_TRIPLES, nb_unfoldings=unlimited, unfold_variables=false, max_nb_coefficients=12, max_nb_unfolded_rules=-1, strategy=LEFTMOST_NE) ** BEGIN proof argument ** All the DP problems were proved finite. As all the involved DP processors are sound, the TRS under analysis terminates. ** END proof argument ** ** BEGIN proof description ** ## Searching for a generalized rewrite rule (a rule whose right-hand side contains a variable that does not occur in the left-hand side)... No generalized rewrite rule found! ## Applying the DP framework... ## Round 1: ## DP problem: Dependency pairs = [not^#(and(_0,_1)) -> not^#(_0), not^#(and(_0,_1)) -> not^#(_1), not^#(or(_0,_1)) -> not^#(_0), not^#(or(_0,_1)) -> not^#(_1)] TRS = {not(and(_0,_1)) -> or(not(_0),not(_1)), not(or(_0,_1)) -> and(not(_0),not(_1)), and(_0,or(_1,_2)) -> or(and(_0,_1),and(_0,_2))} ## Trying with homeomorphic embeddings... Success! This DP problem is finite. ## DP problem: Dependency pairs = [and^#(_0,or(_1,_2)) -> and^#(_0,_1), and^#(_0,or(_1,_2)) -> and^#(_0,_2)] TRS = {not(and(_0,_1)) -> or(not(_0),not(_1)), not(or(_0,_1)) -> and(not(_0),not(_1)), and(_0,or(_1,_2)) -> or(and(_0,_1),and(_0,_2))} ## Trying with homeomorphic embeddings... Success! This DP problem is finite. ** END proof description ** Proof stopped at iteration 0 Number of unfolded rules generated by this proof = 0 Number of unfolded rules generated by all the parallel proofs = 0