Consider the following premises. forall x_8: W(x_8) and Q_3(x_8). forall x_8: ~P_8(x_8). exists x_8: P_8(x_8) or T_4(x_8). Can we infer exists x_8: T_4(x_8) and W(x_8) from them? If possible, name the inference rules being used at each step.
 From exists x_8: P_8(x_8) or T_4(x_8), forall x_8: ~P_8(x_8) we can infer exists x_8: T_4(x_8) via existential disjunctive syllogism. From forall x_8: W(x_8) and Q_3(x_8) we can infer forall x_8: W(x_8) via universal simplification. Finally, from exists x_8: T_4(x_8), forall x_8: W(x_8) we can infer exists x_8: T_4(x_8) and W(x_8) via existential conjunction. Therefore, the answer is yes.