What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_3, x_3 is a nurse if and only if x_3 is a politician. There is at least one x_3 for which x_3 will sleep if and only if x_3 is a politician.
For all x_3, if x_3 were a nurse, then x_3 is a politician. There is at least one x_3 for which if x_3 sleeps, then x_3 is a politician. For all x_3, if x_3 were a politician, then x_3 is a nurse. There is at least one x_3 for which if x_3 were a politician, then x_3 is sleeping.