Consider the following premises. forall x_8: T(x_8) or S_8(x_8). forall x_17: P_17(x_17). T(h_4) -> ~P_17(a_17). Can we infer ~S_8(h_4) from them? If possible, name the inference rules being used at each step.
 From forall x_17: P_17(x_17) we can infer P_17(a_17) via universal instantiation. From forall x_8: T(x_8) or S_8(x_8) we can infer T(h_4) or S_8(h_4) via universal instantiation. From T(h_4) -> ~P_17(a_17), P_17(a_17) we can infer ~T(h_4) via modus tollens. Finally, from T(h_4) or S_8(h_4), ~T(h_4) we can infer S_8(h_4) via disjunctive syllogism, which contradicts ~S_8(h_4). Therefore, the answer is no.