Consider the following premises. There is at least one y for which y is a poet if and only if y is an astronaut. For all y, y will drive a car. For all y, if y were an astronaut, then y is not driving a car. Can we infer the following from them? There is at least one y for which y is not a poet.
 From the fact that for all y, if y were an astronaut, then y is not driving a car, and that for all y, y will drive a car we can infer that for all y, y is not an astronaut. From the fact that there is at least one y for which y is a poet if and only if y is an astronaut we can infer that there is at least one y for which if y were a poet, then y is an astronaut. Finally, from the fact that there is at least one y for which if y were a poet, then y is an astronaut, and that for all y, y is not an astronaut we can infer that there is at least one y for which y is not a poet. Therefore, the answer is yes.