Consider the following premises. r or ~q_3. q_3 <-> p. Can we infer p -> r from them?
 From r or ~q_3 we can infer q_3 -> r. From q_3 <-> p we can infer p -> q_3. Finally, from p -> q_3, q_3 -> r we can infer p -> r. Therefore, the answer is yes.