Consider the following premises. forall x_8: U(x_8). forall x_8: R(x_8). forall x_8: S_1(x_8) <-> R(x_8). Can we infer forall x_8: S_1(x_8) and U(x_8) from them?
 From forall x_8: S_1(x_8) <-> R(x_8) we can infer forall x_8: R(x_8) -> S_1(x_8). From forall x_8: R(x_8) -> S_1(x_8), forall x_8: R(x_8) we can infer forall x_8: S_1(x_8). Finally, from forall x_8: S_1(x_8), forall x_8: U(x_8) we can infer forall x_8: S_1(x_8) and U(x_8). Therefore, the answer is yes.