Consider the following premises. For all x_9, x_9 is a writer. For all x_9, if x_9 cooks, then x_9 is reading a book. For all x_9, x_9 will drive a car or x_9 is a musician. For all x_9, if x_9 drives a car, then x_9 is cooking. For all x_9, if x_9 were a musician, then x_9 is cooking. Can we infer the following from them? For all x_9, if x_9 cooks, then x_9 is reading a book.
That is one of the premises. Therefore, the answer is yes.