Consider the following premises. exists y_3: S_2(y_3). forall y_3: R_4(y_3) -> W(y_3). forall y_3: W(y_3). forall y_3: W(y_3) -> R_4(y_3). Can we infer exists y_3: R_4(y_3) from them?
 From forall y_3: R_4(y_3) -> W(y_3), forall y_3: W(y_3) -> R_4(y_3) we can infer forall y_3: R_4(y_3) <-> W(y_3). From forall y_3: R_4(y_3) <-> W(y_3) we can infer forall y_3: W(y_3) -> R_4(y_3). From forall y_3: W(y_3), exists y_3: S_2(y_3) we can infer exists y_3: W(y_3) and S_2(y_3). From exists y_3: W(y_3) and S_2(y_3) we can infer exists y_3: W(y_3). Finally, from forall y_3: W(y_3) -> R_4(y_3), exists y_3: W(y_3) we can infer exists y_3: R_4(y_3). Therefore, the answer is yes.