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