Consider the following premises. forall x_16: R_16(x_16) <-> S_16(x_16). R_16(d_3) -> w. ~w. Can we infer ~S_16(d_3) or q from them?
 From forall x_16: R_16(x_16) <-> S_16(x_16) we can infer R_16(d_3) <-> S_16(d_3). From R_16(d_3) -> w, ~w we can infer ~R_16(d_3). From R_16(d_3) <-> S_16(d_3), ~R_16(d_3) we can infer ~S_16(d_3). Finally, from ~S_16(d_3) we can infer ~S_16(d_3) or q. Therefore, the answer is yes.