Consider the following premises. p_17 -> r_2. q_13. r_17 -> ~q_13. r_2 -> r_17. r_17 -> p_17. Can we infer p_17 from them? If possible, name the inference rules being used at each step.
 From p_17 -> r_2, r_2 -> r_17 we can infer p_17 -> r_17 via transitivity. From r_17 -> ~q_13, q_13 we can infer ~r_17 via modus tollens. From p_17 -> r_17, r_17 -> p_17 we can infer p_17 <-> r_17 via biconditional introduction. Finally, from p_17 <-> r_17, ~r_17 we can infer ~p_17 via biconditional elimination, which contradicts p_17. Therefore, the answer is no.