Consider the following premises. forall x_15: ~R_15(x_15). p_9 <-> R_15(a_15). p_3 <-> p_9. Can we infer ~p_3 from them?
 From forall x_15: ~R_15(x_15) we can infer ~R_15(a_15). From p_9 <-> R_15(a_15), ~R_15(a_15) we can infer ~p_9. From p_3 <-> p_9 we can infer p_3 -> p_9. Finally, from p_3 -> p_9, ~p_9 we can infer ~p_3. Therefore, the answer is yes.