Consider the following premises. For all x_5, x_5 will listen to a song or x_5 will not work. For all x_5, if x_5 listens to a song, then x_5 is making tea. For all x_5, x_5 will not make tea. Can we infer the following from them? There is at least one x_5 for which x_5 will work.
 From the fact that for all x_5, if x_5 listens to a song, then x_5 is making tea, and that for all x_5, x_5 will not make tea we can infer that for all x_5, x_5 will not listen to a song. From the fact that for all x_5, x_5 will listen to a song or x_5 will not work we can infer that for all x_5, if x_5 works, then x_5 is listening to a song. Finally, from the fact that for all x_5, if x_5 works, then x_5 is listening to a song, and that for all x_5, x_5 will not listen to a song we can infer that for all x_5, x_5 will not work, which contradicts that There is at least one x_5 for which x_5 will work. Therefore, the answer is no.