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