Consider the following premises. For all x_11, if x_11 were a scientist, then x_11 is not cooking. For all x_11, x_11 is a scientist or x_11 will go running. There is at least one x_11 for which x_11 is a musician. For all x_11, if x_11 were a musician, then x_11 is cooking. Can we infer the following from them? There is at least one x_11 for which x_11 will go running.
 From the fact that for all x_11, if x_11 were a musician, then x_11 is cooking, and that there is at least one x_11 for which x_11 is a musician we can infer that there is at least one x_11 for which x_11 will cook. From the fact that for all x_11, if x_11 were a scientist, then x_11 is not cooking, and that there is at least one x_11 for which x_11 will cook we can infer that there is at least one x_11 for which x_11 is not a scientist. Finally, from the fact that for all x_11, x_11 is a scientist or x_11 will go running, and that there is at least one x_11 for which x_11 is not a scientist we can infer that there is at least one x_11 for which x_11 will go running. Therefore, the answer is yes.