Consider the following premises. p_10 or ~S_16(a_16). forall x_16: R_16(x_16) or S_16(x_16). p_10 <-> u. ~R_16(a_16) or u. Can we infer ~p_10 from them? If possible, name the inference rules being used at each step.
 From forall x_16: R_16(x_16) or S_16(x_16) we can infer R_16(a_16) or S_16(a_16) via universal instantiation. From p_10 or ~S_16(a_16) we can infer S_16(a_16) -> p_10 via rewriting. From R_16(a_16) or S_16(a_16), ~R_16(a_16) or u we can infer S_16(a_16) or u via resolution. From p_10 <-> u we can infer u -> p_10 via biconditional elimination. Finally, from S_16(a_16) -> p_10, u -> p_10, S_16(a_16) or u we can infer p_10 via disjunction elimination, which contradicts ~p_10. Therefore, the answer is no.