What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_7, if x_7 were excited, then x_7 is climbing a mountain. There is at least one x_7 for which if x_7 climbs a mountain, then x_7 is playing a game. For all x_7, x_7 will play a game if and only if x_7 is excited.
There is at least one x_7 for which if x_7 were excited, then x_7 is playing a game. For all x_7, if x_7 plays a game, then x_7 is excited. For all x_7, if x_7 were excited, then x_7 is playing a game.