Consider the following premises. u_1 -> ~S(e). forall x: S(x). q_1. Can we infer u_1 from them? If possible, name the inference rules being used at each step.
 From forall x: S(x) we can infer S(e) via universal instantiation. Finally, from u_1 -> ~S(e), S(e) we can infer ~u_1 via modus tollens, which contradicts u_1. Therefore, the answer is no.