Consider the following premises. forall x_5: P_5(x_5) or W_3(x_5). forall x_5: ~P_5(x_5) or R_5(x_5). ~W_3(a_3) or w. Can we infer R_5(a_3) or w from them?
 From forall x_5: P_5(x_5) or W_3(x_5), forall x_5: ~P_5(x_5) or R_5(x_5) we can infer forall x_5: W_3(x_5) or R_5(x_5). From forall x_5: W_3(x_5) or R_5(x_5) we can infer W_3(a_3) or R_5(a_3). Finally, from W_3(a_3) or R_5(a_3), ~W_3(a_3) or w we can infer R_5(a_3) or w. Therefore, the answer is yes.