Consider the following premises. For all x_7, x_7 will not drink water or x_7 will drive a car. There is at least one x_7 for which x_7 will sleep or x_7 will drink water. For all x_7, x_7 will not sleep. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_7 for which x_7 is a poet or x_7 will drive a car.
 From the fact that there is at least one x_7 for which x_7 will sleep or x_7 will drink water, and that for all x_7, x_7 will not sleep we can infer that there is at least one x_7 for which x_7 will drink water via existential disjunctive syllogism. From the fact that there is at least one x_7 for which x_7 will drink water we can infer that there is at least one x_7 for which x_7 will drink water or x_7 is a poet via existential addition. Finally, from the fact that there is at least one x_7 for which x_7 will drink water or x_7 is a poet, and that for all x_7, x_7 will not drink water or x_7 will drive a car we can infer that there is at least one x_7 for which x_7 is a poet or x_7 will drive a car via existential resolution. Therefore, the answer is yes.