Consider the following premises. forall z_4: R_3(z_4) or W_4(z_4). w <-> q_18. ~w. forall z_4: ~R_3(z_4). Can we infer q_18 from them? If possible, name the inference rules being used at each step.
 From forall z_4: R_3(z_4) or W_4(z_4), forall z_4: ~R_3(z_4) we can infer forall z_4: W_4(z_4) via universal disjunctive syllogism. Finally, from w <-> q_18, ~w we can infer ~q_18 via biconditional elimination, which contradicts q_18. Therefore, the answer is no.