Consider the following premises. q_13 -> ~p. q_13 -> p_13. p. q_13 -> p_13. p_13 -> q_13. Can we infer ~p_13 from them?
 From p_13 -> q_13, q_13 -> p_13 we can infer p_13 <-> q_13. From q_13 -> ~p, p we can infer ~q_13. From p_13 <-> q_13 we can infer p_13 -> q_13. From q_13 -> p_13, p_13 -> q_13 we can infer q_13 <-> p_13. Finally, from q_13 <-> p_13, ~q_13 we can infer ~p_13. Therefore, the answer is yes.