Consider the following premises. forall x_16: Q_16(x_16). R(g) or q_4. t. forall x_16: R(x_16) -> ~Q_16(x_16). Can we infer ~q_4 from them? If possible, name the inference rules being used at each step.
 From forall x_16: R(x_16) -> ~Q_16(x_16), forall x_16: Q_16(x_16) we can infer forall x_16: ~R(x_16) via universal modus tollens. From forall x_16: ~R(x_16) we can infer ~R(g) via universal instantiation. Finally, from R(g) or q_4, ~R(g) we can infer q_4 via disjunctive syllogism, which contradicts ~q_4. Therefore, the answer is no.