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