Consider the following premises. q_3 -> t_4. p_15 -> t_4. p_3 -> ~t_4. p_15 or q_3. Can we infer ~p_3 or q from them? If possible, name the inference rules being used at each step.
 From p_15 -> t_4, q_3 -> t_4, p_15 or q_3 we can infer t_4 via disjunction elimination. From p_3 -> ~t_4, t_4 we can infer ~p_3 via modus tollens. Finally, from ~p_3 we can infer ~p_3 or q via addition. Therefore, the answer is yes.