Consider the following premises. For all x_5, x_5 will not sleep. For all x_5, x_5 will sleep if and only if x_5 is a scientist. For all x_5, x_5 is a cashier or x_5 is a scientist. For all x_5, x_5 is not a cashier or x_5 will go running. Can we infer the following from them? There is at least one x_5 for which x_5 will not go running.
 From the fact that for all x_5, x_5 will sleep if and only if x_5 is a scientist, and that for all x_5, x_5 will not sleep we can infer that for all x_5, x_5 is not a scientist. From the fact that for all x_5, x_5 is a cashier or x_5 is a scientist, and that for all x_5, x_5 is not a cashier or x_5 will go running we can infer that for all x_5, x_5 is a scientist or x_5 will go running. Finally, from the fact that for all x_5, x_5 is a scientist or x_5 will go running, and that for all x_5, x_5 is not a scientist we can infer that for all x_5, x_5 will go running, which contradicts that There is at least one x_5 for which x_5 will not go running. Therefore, the answer is no.