Consider the following premises. s_3 -> R_14(a_14). forall x_14: R_14(x_14) <-> S_14(x_14). S_14(a_14) -> s_3. Can we infer ~(S_14(a_14) -> R_14(a_14)) from them? If possible, name the inference rules being used at each step.
 From forall x_14: R_14(x_14) <-> S_14(x_14) we can infer R_14(a_14) <-> S_14(a_14) via universal instantiation. Finally, from S_14(a_14) -> s_3, s_3 -> R_14(a_14) we can infer S_14(a_14) -> R_14(a_14) via transitivity, which contradicts ~(S_14(a_14) -> R_14(a_14)). Therefore, the answer is no.