Consider the following premises. p_12 <-> q_12. p -> ~q_12. p_12. Can we infer p from them? If possible, name the inference rules being used at each step.
 From p_12 <-> q_12 we can infer p_12 -> q_12 via biconditional elimination. From p_12 -> q_12, p_12 we can infer q_12 via modus ponens. Finally, from p -> ~q_12, q_12 we can infer ~p via modus tollens, which contradicts p. Therefore, the answer is no.