Consider the following premises. For all x_6, x_6 will not go running. For all x_6, x_6 will sleep or x_6 is not a carpenter. For all x_6, x_6 will go running or x_6 is a carpenter. Can we infer the following from them? There is at least one x_6 for which x_6 will not sleep.
 From the fact that for all x_6, x_6 will go running or x_6 is a carpenter, and that for all x_6, x_6 will not go running we can infer that for all x_6, x_6 is a carpenter. From the fact that for all x_6, x_6 will sleep or x_6 is not a carpenter we can infer that for all x_6, if x_6 were a carpenter, then x_6 is sleeping. Finally, from the fact that for all x_6, if x_6 were a carpenter, then x_6 is sleeping, and that for all x_6, x_6 is a carpenter we can infer that for all x_6, x_6 will sleep, which contradicts that There is at least one x_6 for which x_6 will not sleep. Therefore, the answer is no.