Consider the following premises. p or ~q_11. q. q_11. Can we infer ~p from them? If possible, name the inference rules being used at each step.
 From p or ~q_11 we can infer q_11 -> p via rewriting. Finally, from q_11 -> p, q_11 we can infer p via modus ponens, which contradicts ~p. Therefore, the answer is no.