What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_9, x_9 will not play a game. For all x_9, if x_9 were excited, then x_9 is sad. There is at least one x_9 for which x_9 is excited if and only if x_9 will play a game. For all x_9, if x_9 were sad, then x_9 is excited.
For all x_9, x_9 is excited if and only if x_9 is sad. For all x_9, x_9 is sad if and only if x_9 is excited. There is at least one x_9 for which if x_9 were excited, then x_9 is playing a game. There is at least one x_9 for which if x_9 plays a game, then x_9 is excited. There is at least one x_9 for which x_9 is not excited.