Consider the following premises. forall x_7: ~Q_7(x_7). forall x_7: ~P_7(x_7) or R_7(x_7). forall x_7: P_7(x_7) or Q_7(x_7). Can we infer exists y_3: R_7(y_3) from them?
 From forall x_7: P_7(x_7) or Q_7(x_7), forall x_7: ~P_7(x_7) or R_7(x_7) we can infer forall x_7: Q_7(x_7) or R_7(x_7). From forall x_7: Q_7(x_7) or R_7(x_7), forall x_7: ~Q_7(x_7) we can infer forall x_7: R_7(x_7). From forall x_7: R_7(x_7) we can infer R_7(h). Finally, from R_7(h) we can infer exists y_3: R_7(y_3). Therefore, the answer is yes.