What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all y_3, y_3 will listen to a song if and only if y_3 will climb a mountain. For all y_3, y_3 will sleep. There is at least one y_3 for which y_3 will climb a mountain if and only if y_3 will take a plane. For all y_3, if y_3 takes a plane, then y_3 is not sleeping.
For all y_3, y_3 will not take a plane. For all y_3, if y_3 listens to a song, then y_3 is climbing a mountain. There is at least one y_3 for which if y_3 climbs a mountain, then y_3 is taking a plane. For all y_3, if y_3 climbs a mountain, then y_3 is listening to a song. There is at least one y_3 for which if y_3 takes a plane, then y_3 is climbing a mountain.