What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all y_4, y_4 is a scientist if and only if y_4 will play a game. For all y_4, y_4 will not climb a mountain. For all y_4, if y_4 climbs a mountain, then y_4 is a scientist. For all y_4, if y_4 plays a game, then y_4 is climbing a mountain.
For all y_4, y_4 will not play a game. For all y_4, if y_4 plays a game, then y_4 is a scientist. For all y_4, if y_4 were a scientist, then y_4 is playing a game. For all y_4, if y_4 plays a game, then y_4 is a scientist.