Consider the following premises. For all x_6, if x_6 were fast, then x_6 is driving a car. For all x_6, x_6 will not drive a car or x_6 will cook. There is at least one x_6 for which x_6 is fast. Can we infer the following from them? There is at least one x_6 for which x_6 is an office clerk or x_6 will cook.
 From the fact that for all x_6, if x_6 were fast, then x_6 is driving a car, and that there is at least one x_6 for which x_6 is fast we can infer that there is at least one x_6 for which x_6 will drive a car. From the fact that there is at least one x_6 for which x_6 will drive a car we can infer that there is at least one x_6 for which x_6 will drive a car or x_6 is an office clerk. Finally, from the fact that there is at least one x_6 for which x_6 will drive a car or x_6 is an office clerk, and that for all x_6, x_6 will not drive a car or x_6 will cook we can infer that there is at least one x_6 for which x_6 is an office clerk or x_6 will cook. Therefore, the answer is yes.