Consider the following premises. forall z_3: R(z_3) or R_4(z_3). forall z_3: R_1(z_3) or ~R_4(z_3). forall z_3: R(z_3) -> R_1(z_3). Can we infer forall z_3: R_1(z_3) from them?
 From forall z_3: R_1(z_3) or ~R_4(z_3) we can infer forall z_3: R_4(z_3) -> R_1(z_3). Finally, from forall z_3: R(z_3) -> R_1(z_3), forall z_3: R_4(z_3) -> R_1(z_3), forall z_3: R(z_3) or R_4(z_3) we can infer forall z_3: R_1(z_3). Therefore, the answer is yes.