Consider the following premises. For all x_1, if x_1 climbs a mountain, then x_1 is a server. For all x_1, if x_1 listens to a song, then x_1 is a server. For all x_1, if x_1 were excited, then x_1 is listening to a song. For all x_1, x_1 is excited or x_1 will climb a mountain. Can we infer the following from them? There is at least one x_1 for which x_1 is not a server.
 From the fact that for all x_1, if x_1 were excited, then x_1 is listening to a song, and that for all x_1, if x_1 listens to a song, then x_1 is a server we can infer that for all x_1, if x_1 were excited, then x_1 is a server. Finally, from the fact that for all x_1, if x_1 were excited, then x_1 is a server, that for all x_1, if x_1 climbs a mountain, then x_1 is a server, and that for all x_1, x_1 is excited or x_1 will climb a mountain we can infer that for all x_1, x_1 is a server, which contradicts that There is at least one x_1 for which x_1 is not a server. Therefore, the answer is no.