Consider the following premises. For all x_2, x_2 will not cook or x_2 is poor. For all x_2, x_2 will cook or x_2 will make tea. For all x_2, if x_2 were poor, then x_2 is an artist. For all x_2, if x_2 makes tea, then x_2 is an artist. Can we infer the following from them? There is at least one x_2 for which x_2 is not an artist.
 From the fact that for all x_2, x_2 will cook or x_2 will make tea, and that for all x_2, x_2 will not cook or x_2 is poor we can infer that for all x_2, x_2 will make tea or x_2 is poor. Finally, from the fact that for all x_2, if x_2 makes tea, then x_2 is an artist, that for all x_2, if x_2 were poor, then x_2 is an artist, and that for all x_2, x_2 will make tea or x_2 is poor we can infer that for all x_2, x_2 is an artist, which contradicts that There is at least one x_2 for which x_2 is not an artist. Therefore, the answer is no.