Consider the following premises. There is at least one z for which z is not a soldier or z is a writer. For all z, z will not sleep or z will take a plane. For all z, z is a soldier and z will drink water. Can we infer the following from them? There is at least one z for which z is a writer or z will take a plane.
 From the fact that for all z, z is a soldier and z will drink water we can infer that for all z, z is a soldier. From the fact that for all z, z is a soldier we can infer that for all z, z is a soldier or z will sleep. From the fact that for all z, z is a soldier or z will sleep, and that there is at least one z for which z is not a soldier or z is a writer we can infer that there is at least one z for which z will sleep or z is a writer. Finally, from the fact that there is at least one z for which z will sleep or z is a writer, and that for all z, z will not sleep or z will take a plane we can infer that there is at least one z for which z is a writer or z will take a plane. Therefore, the answer is yes.