Consider the following premises. s <-> p. s <-> U_4(h). forall y_2: ~U_4(y_2). Can we infer p from them?
 From forall y_2: ~U_4(y_2) we can infer ~U_4(h). From s <-> U_4(h), ~U_4(h) we can infer ~s. Finally, from s <-> p, ~s we can infer ~p, which contradicts p. Therefore, the answer is no.