Consider the following premises. For all x_2, x_2 will not go running. For all x_2, x_2 is a doctor or x_2 will go running. For all x_2, x_2 is not a doctor or x_2 is an artist. Can we infer the following from them? For all x_2, x_2 is an artist.
 From the fact that for all x_2, x_2 is a doctor or x_2 will go running, and that for all x_2, x_2 is not a doctor or x_2 is an artist we can infer that for all x_2, x_2 will go running or x_2 is an artist. Finally, from the fact that for all x_2, x_2 will go running or x_2 is an artist, and that for all x_2, x_2 will not go running we can infer that for all x_2, x_2 is an artist. Therefore, the answer is yes.