Consider the following premises. ~t. t. p_3. Can we infer t_3 and p_3 from them? If possible, name the inference rules being used at each step.
 From t we can infer t or t_3 via addition. From t or t_3, ~t we can infer t_3 via disjunctive syllogism. Finally, from t_3, p_3 we can infer t_3 and p_3 via conjunction. Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.