Consider the following premises. For all z, z is not a writer. There is at least one z for which z is a soldier. For all z, z will play squash or z is a writer. For all z, z will not play squash or z will play a game. Can we infer the following from them? For all z, either z is a soldier or z will play a game are not true.
 From the fact that for all z, z will play squash or z is a writer, and that for all z, z will not play squash or z will play a game we can infer that for all z, z is a writer or z will play a game. From the fact that for all z, z is a writer or z will play a game, and that for all z, z is not a writer we can infer that for all z, z will play a game. Finally, from the fact that there is at least one z for which z is a soldier, and that for all z, z will play a game we can infer that some soldiers will play a game, which contradicts that For all z, either z is a soldier or z will play a game are not true. Therefore, the answer is no.