Consider the following premises. ~q or t_1. p_16. ~w. p_16 -> w. Can we infer q_1 or t_1 from them? If possible, name the inference rules being used at each step.
 From p_16 -> w, ~w we can infer ~p_16 via modus tollens. From p_16 we can infer p_16 or q via addition. From p_16 or q, ~p_16 we can infer q via disjunctive syllogism. From q we can infer q or q_1 via addition. Finally, from q or q_1, ~q or t_1 we can infer q_1 or t_1 via resolution. Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.