Consider the following premises. For all x_7, x_7 will not drive a car. For all x_7, x_7 will not sleep or x_7 is a cashier. For all x_7, x_7 will go running if and only if x_7 will drive a car. For all x_7, x_7 will sleep. Can we infer the following from them? There is at least one x_7 for which x_7 is not a cashier.
 From the fact that for all x_7, x_7 will sleep we can infer that for all x_7, x_7 will sleep or x_7 will go running. From the fact that for all x_7, x_7 will go running if and only if x_7 will drive a car, and that for all x_7, x_7 will not drive a car we can infer that for all x_7, x_7 will not go running. From the fact that for all x_7, x_7 will sleep or x_7 will go running, and that for all x_7, x_7 will not sleep or x_7 is a cashier we can infer that for all x_7, x_7 will go running or x_7 is a cashier. Finally, from the fact that for all x_7, x_7 will go running or x_7 is a cashier, and that for all x_7, x_7 will not go running we can infer that for all x_7, x_7 is a cashier, which contradicts that There is at least one x_7 for which x_7 is not a cashier. Therefore, the answer is no.