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 play a game if and only if y will climb a mountain. For all y, if y climbs a mountain, then y is a soldier. For all y, y will play a game if and only if y will go running.
For all y, if y plays a game, then y is climbing a mountain. For all y, if y plays a game, then y is running. For all y, if y climbs a mountain, then y is playing a game. For all y, if y goes running, then y is playing a game.