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, if x_3 were a police officer, then x_3 is cooking. For all x_3, x_3 is not a nurse. For all x_3, if x_3 cooks, then x_3 is a nurse. There is at least one x_3 for which if x_3 were a nurse, then x_3 is a police officer.
For all x_3, x_3 will not cook. For all x_3, if x_3 were a police officer, then x_3 is a nurse. There is at least one x_3 for which if x_3 were a nurse, then x_3 is cooking. There is at least one x_3 for which if x_3 cooks, then x_3 is a police officer.