Consider the following premises. James is not reading a book. James is reading a book if and only if David is driving a car. If David were an artist, then Michael is a poet. If David drives a car, then Michael is a poet. If Michael were a poet, then David is driving a car. Can we infer the following from them? David is not an artist.
 From the fact that if Michael were a poet, then David is driving a car, and that if David drives a car, then Michael is a poet we can infer that Michael is a poet if and only if David is driving a car. From the fact that James is reading a book if and only if David is driving a car, and that James is not reading a book we can infer that David is not driving a car. From the fact that Michael is a poet if and only if David is driving a car, and that David is not driving a car we can infer that Michael is not a poet. Finally, from the fact that if David were an artist, then Michael is a poet, and that Michael is not a poet we can infer that David is not an artist. Therefore, the answer is yes.