Consider the following premises. forall x_10: W(x_10) -> ~T_2(x_10). forall x_10: P_10(x_10). exists x_10: ~P_10(x_10). Can we infer forall x_10: W(x_10) from them? If possible, name the inference rules being used at each step.
 From forall x_10: P_10(x_10) we can infer forall x_10: P_10(x_10) or T_2(x_10) via universal addition. From forall x_10: P_10(x_10) or T_2(x_10), exists x_10: ~P_10(x_10) we can infer exists x_10: T_2(x_10) via existential disjunctive syllogism. Finally, from forall x_10: W(x_10) -> ~T_2(x_10), exists x_10: T_2(x_10) we can infer exists x_10: ~W(x_10) via existential modus tollens, which contradicts forall x_10: W(x_10). Therefore, the answer is no.