Consider the following premises. For all x_5, if x_5 cooks, then x_5 is listening to a song. For all x_5, if x_5 were a musician, then x_5 is listening to a song. For all x_5, x_5 will cook and x_5 is sad. Can we infer the following from them? There is at least one x_5 for which x_5 will not listen to a song.
 From the fact that for all x_5, x_5 will cook and x_5 is sad we can infer that for all x_5, x_5 will cook. From the fact that for all x_5, x_5 will cook we can infer that for all x_5, x_5 will cook or x_5 is a musician. Finally, from the fact that for all x_5, if x_5 cooks, then x_5 is listening to a song, that for all x_5, if x_5 were a musician, then x_5 is listening to a song, and that for all x_5, x_5 will cook or x_5 is a musician we can infer that for all x_5, x_5 will listen to a song, which contradicts that There is at least one x_5 for which x_5 will not listen to a song. Therefore, the answer is no.