Consider the following premises. For all x_9, x_9 will play tennis if and only if x_9 will listen to a song. There is at least one x_9 for which x_9 will not listen to a song. For all x_9, if x_9 plays tennis, then x_9 is cooking. For all x_9, if x_9 cooks, then x_9 is playing tennis. Can we infer the following from them? There is at least one x_9 for which x_9 will not cook.
 From the fact that for all x_9, x_9 will play tennis if and only if x_9 will listen to a song, and that there is at least one x_9 for which x_9 will not listen to a song we can infer that there is at least one x_9 for which x_9 will not play tennis. From the fact that for all x_9, if x_9 plays tennis, then x_9 is cooking, and that for all x_9, if x_9 cooks, then x_9 is playing tennis we can infer that for all x_9, x_9 will play tennis if and only if x_9 will cook. Finally, from the fact that for all x_9, x_9 will play tennis if and only if x_9 will cook, and that there is at least one x_9 for which x_9 will not play tennis we can infer that there is at least one x_9 for which x_9 will not cook. Therefore, the answer is yes.