Consider the following premises. For all x, x will cook if and only if x is an astronaut. For all x, x will not read a book or x will work. For all x, x will read a book or x is a writer. For all x, x is not an astronaut. For all x, if x were a writer, then x is cooking. Can we infer the following from them? For all x, x will work or x is a taxi driver.
 From the fact that for all x, x will cook if and only if x is an astronaut, and that for all x, x is not an astronaut we can infer that for all x, x will not cook. From the fact that for all x, if x were a writer, then x is cooking, and that for all x, x will not cook we can infer that for all x, x is not a writer. From the fact that for all x, x will read a book or x is a writer, and that for all x, x will not read a book or x will work we can infer that for all x, x is a writer or x will work. From the fact that for all x, x is a writer or x will work, and that for all x, x is not a writer we can infer that for all x, x will work. Finally, from the fact that for all x, x will work we can infer that for all x, x will work or x is a taxi driver. Therefore, the answer is yes.