What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x, if x cooks, then x is a lawyer. There is at least one x for which x is not a nurse. For all x, if x were a lawyer, then x is cooking. For all x, x is a lawyer if and only if x is a nurse.
For all x, x will cook if and only if x is a lawyer. For all x, x is a lawyer if and only if x will cook. For all x, if x were a lawyer, then x is a nurse. For all x, if x were a nurse, then x is a lawyer. There is at least one x for which x is not a lawyer.