Consider the following premises. w <-> U(e). forall x_12: S_4(x_12). s -> w. forall x_12: U(x_12) -> ~S_4(x_12). Can we infer s from them?
 From forall x_12: U(x_12) -> ~S_4(x_12), forall x_12: S_4(x_12) we can infer forall x_12: ~U(x_12). From forall x_12: ~U(x_12) we can infer ~U(e). From w <-> U(e), ~U(e) we can infer ~w. Finally, from s -> w, ~w we can infer ~s, which contradicts s. Therefore, the answer is no.