What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_10, if x_10 climbs a mountain, then x_10 is cooking. For all x_10, if x_10 plays a game, then x_10 is listening to a song. There is at least one x_10 for which if x_10 listens to a song, then x_10 is a soldier. For all x_10, x_10 will cook if and only if x_10 will play a game.
There is at least one x_10 for which if x_10 plays a game, then x_10 is a soldier. For all x_10, if x_10 cooks, then x_10 is playing a game. For all x_10, if x_10 plays a game, then x_10 is cooking.