What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all y, y will drive a car if and only if y will take a plane. There is at least one y for which y will take a plane if and only if y is a police officer. For all y, if y were a police officer, then y is a poet. For all y, y will not drive a car. For all y, if y were a poet, then y is a police officer.
For all y, y is a police officer if and only if y is a poet. For all y, y is a poet if and only if y is a police officer. For all y, if y drives a car, then y is taking a plane. There is at least one y for which if y takes a plane, then y is a police officer. For all y, if y takes a plane, then y is driving a car. There is at least one y for which if y were a police officer, then y is taking a plane. For all y, y will not take a plane.