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