Consider the following premises. forall x_9: ~Q_9(x_9). forall x_9: ~P_9(x_9) or R_9(x_9). forall x_9: P_3(x_9). forall x_9: P_9(x_9) or Q_9(x_9). Can we infer R_9(j) from them?
 From forall x_9: P_9(x_9) or Q_9(x_9), forall x_9: ~P_9(x_9) or R_9(x_9) we can infer forall x_9: Q_9(x_9) or R_9(x_9). From forall x_9: Q_9(x_9) or R_9(x_9), forall x_9: ~Q_9(x_9) we can infer forall x_9: R_9(x_9). From forall x_9: P_3(x_9), forall x_9: R_9(x_9) we can infer forall x_9: P_3(x_9) and R_9(x_9). From forall x_9: P_3(x_9) and R_9(x_9) we can infer P_3(j) and R_9(j). Finally, from P_3(j) and R_9(j) we can infer R_9(j). Therefore, the answer is yes.