Consider the following premises. ~w. p_10 or s. p_10 -> w. Can we infer ~s from them? If possible, name the inference rules being used at each step.
 From p_10 -> w, ~w we can infer ~p_10 via modus tollens. Finally, from p_10 or s, ~p_10 we can infer s via disjunctive syllogism, which contradicts ~s. Therefore, the answer is no.