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, if y_3 plays a game, then y_3 is sleeping. There is at least one y_3 for which y_3 will sleep if and only if y_3 is a politician. For all y_3, y_3 is not a politician.
There is at least one y_3 for which if y_3 sleeps, then y_3 is a politician. There is at least one y_3 for which if y_3 were a politician, then y_3 is sleeping. There is at least one y_3 for which y_3 will not sleep.