Consider the following premises. There is at least one x_6 for which x_6 will cook and x_6 is a doctor. Can we infer the following from them? There is at least one x_6 for which x_6 will cook or x_6 is a scientist.
 From the fact that there is at least one x_6 for which x_6 will cook and x_6 is a doctor we can infer that there is at least one x_6 for which x_6 will cook. Finally, from the fact that there is at least one x_6 for which x_6 will cook we can infer that there is at least one x_6 for which x_6 will cook or x_6 is a scientist. Therefore, the answer is yes.