Consider the following premises. forall x_16: R_16(x_16) <-> S_16(x_16). R_16(a_16) -> t_3. ~t_3. Can we infer ~S_16(a_16) or q from them?
 From forall x_16: R_16(x_16) <-> S_16(x_16) we can infer R_16(a_16) <-> S_16(a_16). From R_16(a_16) -> t_3, ~t_3 we can infer ~R_16(a_16). From R_16(a_16) <-> S_16(a_16), ~R_16(a_16) we can infer ~S_16(a_16). Finally, from ~S_16(a_16) we can infer ~S_16(a_16) or q. Therefore, the answer is yes.