Consider the following premises. For all x_11, if x_11 were an office clerk, then x_11 is sleeping. For all x_11, x_11 is an office clerk if and only if x_11 will work. There is at least one x_11 for which if x_11 sleeps, then x_11 is working. Can we infer the following from them? For all x_11, the fact that x_11 were an office clerk does not imply that x_11 is working.
That contradicts the premises. Therefore the answer is no.