Consider the following premises. forall x_14: Q_14(x_14) -> R_4(x_14). forall x_14: P_14(x_14). q -> ~R_4(d). forall x_14: P_14(x_14) -> R_4(x_14). Can we infer q from them? If possible, name the inference rules being used at each step.
 From forall x_14: P_14(x_14) we can infer forall x_14: P_14(x_14) or Q_14(x_14) via universal addition. From forall x_14: P_14(x_14) -> R_4(x_14), forall x_14: Q_14(x_14) -> R_4(x_14), forall x_14: P_14(x_14) or Q_14(x_14) we can infer forall x_14: R_4(x_14) via universal disjunction elimination. From forall x_14: R_4(x_14) we can infer R_4(d) via universal instantiation. Finally, from q -> ~R_4(d), R_4(d) we can infer ~q via modus tollens, which contradicts q. Therefore, the answer is no.