Consider the following premises. For all x_8, x_8 will cook if and only if x_8 will sleep. For all x_8, x_8 will listen to a song if and only if x_8 will cook. Can we infer the following from them? There is at least one x_8 for which the fact that x_8 sleeps does not imply that x_8 is listening to a song.
 From the fact that for all x_8, x_8 will listen to a song if and only if x_8 will cook we can infer that for all x_8, if x_8 cooks, then x_8 is listening to a song. From the fact that for all x_8, x_8 will cook if and only if x_8 will sleep we can infer that for all x_8, if x_8 sleeps, then x_8 is cooking. Finally, from the fact that for all x_8, if x_8 sleeps, then x_8 is cooking, and that for all x_8, if x_8 cooks, then x_8 is listening to a song we can infer that for all x_8, if x_8 sleeps, then x_8 is listening to a song, which contradicts that There is at least one x_8 for which the fact that x_8 sleeps does not imply that x_8 is listening to a song. Therefore, the answer is no.