What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all y_2, y_2 is a doctor if and only if y_2 will read a book. For all y_2, if y_2 plays a game, then y_2 is reading a book. There is at least one y_2 for which y_2 will play a game if and only if y_2 is a doctor.
For all y_2, if y_2 were a doctor, then y_2 is reading a book. There is at least one y_2 for which if y_2 plays a game, then y_2 is a doctor. For all y_2, if y_2 reads a book, then y_2 is a doctor. There is at least one y_2 for which if y_2 were a doctor, then y_2 is playing a game.