Consider the following premises. forall x_12: R_12(x_12) or S_12(x_12). ~R_12(a_12). S_12(a_12) -> w_4. Can we infer ~w_4 from them?
 From forall x_12: R_12(x_12) or S_12(x_12) we can infer R_12(a_12) or S_12(a_12). From R_12(a_12) or S_12(a_12), ~R_12(a_12) we can infer S_12(a_12). Finally, from S_12(a_12) -> w_4, S_12(a_12) we can infer w_4, which contradicts ~w_4. Therefore, the answer is no.