Consider the following premises. For all x_13, x_13 will take a plane or x_13 will work. For all x_13, x_13 is a writer if and only if x_13 will play a game. There is at least one x_13 for which if x_13 takes a plane, then x_13 is playing a game. For all x_13, x_13 is not a writer. For all x_13, if x_13 plays a game, then x_13 is taking a plane. Can we infer the following from them? For all x_13, x_13 will not work.
 From the fact that for all x_13, x_13 is a writer if and only if x_13 will play a game, and that for all x_13, x_13 is not a writer we can infer that for all x_13, x_13 will not play a game. From the fact that there is at least one x_13 for which if x_13 takes a plane, then x_13 is playing a game, and that for all x_13, if x_13 plays a game, then x_13 is taking a plane we can infer that there is at least one x_13 for which x_13 will take a plane if and only if x_13 will play a game. From the fact that there is at least one x_13 for which x_13 will take a plane if and only if x_13 will play a game, and that for all x_13, x_13 will not play a game we can infer that there is at least one x_13 for which x_13 will not take a plane. Finally, from the fact that for all x_13, x_13 will take a plane or x_13 will work, and that there is at least one x_13 for which x_13 will not take a plane we can infer that there is at least one x_13 for which x_13 will work, which contradicts that For all x_13, x_13 will not work. Therefore, the answer is no.