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^#(or(_0,_1)) -> not^#(not(not(_0))), not^#(or(_0,_1)) -> not^#(not(_0)), not^#(or(_0,_1)) -> not^#(_0), not^#(or(_0,_1)) -> not^#(not(not(_1))), not^#(or(_0,_1)) -> not^#(not(_1)), not^#(or(_0,_1)) -> not^#(_1), not^#(and(_0,_1)) -> not^#(not(not(_0))), not^#(and(_0,_1)) -> not^#(not(_0)), not^#(and(_0,_1)) -> not^#(_0), not^#(and(_0,_1)) -> not^#(not(not(_1))), not^#(and(_0,_1)) -> not^#(not(_1)), not^#(and(_0,_1)) -> not^#(_1)] TRS = {not(not(_0)) -> _0, not(or(_0,_1)) -> and(not(not(not(_0))),not(not(not(_1)))), not(and(_0,_1)) -> or(not(not(not(_0))),not(not(not(_1))))} ## Trying with homeomorphic embeddings... Failed! ## Trying with polynomial interpretations... The constraints are satisfied by the polynomials: {not(_0):[_0], or(_0,_1):[_0 * _1], and(_0,_1):[_0 * _1], not^#(_0):[_0]} 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 = 34