Consider the following premises. p -> w. q_3 or p. forall x_18: P_18(x_18). q_3 <-> w. Can we infer P_18(a_18) and w from them?
 From q_3 <-> w we can infer q_3 -> w. From forall x_18: P_18(x_18) we can infer P_18(a_18). From q_3 -> w, p -> w, q_3 or p we can infer w. Finally, from P_18(a_18), w we can infer P_18(a_18) and w. Therefore, the answer is yes.