Consider the following premises. R_8(j) -> ~t. t. forall x_8: R_8(x_8) or S_8(x_8). Can we infer ~S_8(j) from them? If possible, name the inference rules being used at each step.
 From forall x_8: R_8(x_8) or S_8(x_8) we can infer R_8(j) or S_8(j) via universal instantiation. From R_8(j) -> ~t, t we can infer ~R_8(j) via modus tollens. Finally, from R_8(j) or S_8(j), ~R_8(j) we can infer S_8(j) via disjunctive syllogism, which contradicts ~S_8(j). Therefore, the answer is no.