Consider the following premises. ~w_3. r -> p_14. p <-> p_1. p_14 <-> w_3. p_1 -> r. Can we infer p from them? If possible, name the inference rules being used at each step.
 From p_14 <-> w_3, ~w_3 we can infer ~p_14 via biconditional elimination. From r -> p_14, ~p_14 we can infer ~r via modus tollens. From p_1 -> r, ~r we can infer ~p_1 via modus tollens. Finally, from p <-> p_1, ~p_1 we can infer ~p via biconditional elimination, which contradicts p. Therefore, the answer is no.