Consider the following premises. w -> p_3. ~S_17(a_17). p_3 -> w. p_3 -> R_17(a_17). forall x_17: R_17(x_17) -> S_17(x_17). Can we infer ~w from them?
 From forall x_17: R_17(x_17) -> S_17(x_17) we can infer R_17(a_17) -> S_17(a_17). From p_3 -> R_17(a_17), R_17(a_17) -> S_17(a_17) we can infer p_3 -> S_17(a_17). From p_3 -> S_17(a_17), ~S_17(a_17) we can infer ~p_3. From p_3 -> w, w -> p_3 we can infer p_3 <-> w. Finally, from p_3 <-> w, ~p_3 we can infer ~w. Therefore, the answer is yes.