Consider the following premises. ~w_3. w_3 -> S_12(a_12). S_12(a_12) -> w_3. forall x_12: R_12(x_12) -> S_12(x_12). Can we infer ~R_12(a_12) from them?
 From forall x_12: R_12(x_12) -> S_12(x_12) we can infer R_12(a_12) -> S_12(a_12). From S_12(a_12) -> w_3, w_3 -> S_12(a_12) we can infer S_12(a_12) <-> w_3. From S_12(a_12) <-> w_3, ~w_3 we can infer ~S_12(a_12). Finally, from R_12(a_12) -> S_12(a_12), ~S_12(a_12) we can infer ~R_12(a_12). Therefore, the answer is yes.