Consider the following premises. There is at least one x_8 for which if x_8 sleeps, then x_8 is poor. For all x_8, if x_8 were poor, then x_8 is a nurse. For all x_8, x_8 is a nurse if and only if x_8 will sleep. Can we infer the following from them? For all x_8, if is not true that x_8 will sleep if and only if x_8 is a nurse.
That contradicts the premises. Therefore the answer is no.