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 = [implies^#(not(_0),or(_1,_2)) -> implies^#(_1,or(_0,_2)), implies^#(_0,or(_1,_2)) -> implies^#(_0,_2)] TRS = {implies(not(_0),_1) -> or(_0,_1), implies(not(_0),or(_1,_2)) -> implies(_1,or(_0,_2)), implies(_0,or(_1,_2)) -> or(_1,implies(_0,_2))} ## Trying with homeomorphic embeddings... Failed! ## Trying with polynomial interpretations... The constraints are satisfied by the polynomials: {implies(_0,_1):[_0 * _1], or(_0,_1):[_0 * _1], not(_0):[2 * _0], implies^#(_0,_1):[_0 * _1]} for all instantiations of the variables with values greater than or equal to mu = 2. 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 = 41