Consider the following premises. For all x_8, if x_8 goes running, then x_8 is cooking. For all x_8, if x_8 were happy, then x_8 is cooking. For all x_8, x_8 will go running or x_8 is happy. For all x_8, x_8 is an office clerk and x_8 will drive a car. Can we infer the following from them? There is at least one x_8 for which either x_8 is an office clerk or x_8 will cook are not true.
 From the fact that for all x_8, if x_8 goes running, then x_8 is cooking, that for all x_8, if x_8 were happy, then x_8 is cooking, and that for all x_8, x_8 will go running or x_8 is happy we can infer that for all x_8, x_8 will cook. From the fact that for all x_8, x_8 is an office clerk and x_8 will drive a car we can infer that for all x_8, x_8 is an office clerk. Finally, from the fact that for all x_8, x_8 is an office clerk, and that for all x_8, x_8 will cook we can infer that for all x_8, x_8 is an office clerk and x_8 will cook, which contradicts that There is at least one x_8 for which either x_8 is an office clerk or x_8 will cook are not true. Therefore, the answer is no.