Consider the following premises. p_8 <-> q_8. forall x_13: R_13(x_13) or S_13(x_13). R_13(e) -> q_8. ~p_8. Can we infer ~S_13(e) from them? If possible, name the inference rules being used at each step.
 From forall x_13: R_13(x_13) or S_13(x_13) we can infer R_13(e) or S_13(e) via universal instantiation. From p_8 <-> q_8, ~p_8 we can infer ~q_8 via biconditional elimination. From R_13(e) -> q_8, ~q_8 we can infer ~R_13(e) via modus tollens. Finally, from R_13(e) or S_13(e), ~R_13(e) we can infer S_13(e) via disjunctive syllogism, which contradicts ~S_13(e). Therefore, the answer is no.