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 plays a game, then x_10 is sleeping. For all x_10, if x_10 plays a game, then x_10 is sad. There is at least one x_10 for which if x_10 were sad, then x_10 is playing a game. For all x_10, if x_10 sleeps, then x_10 is sad.
For all x_10, if x_10 plays a game, then x_10 is sad. There is at least one x_10 for which if x_10 were sad, then x_10 is sleeping. There is at least one x_10 for which if x_10 sleeps, then x_10 is playing a game. There is at least one x_10 for which x_10 is sad if and only if x_10 will play a game. There is at least one x_10 for which x_10 will play a game if and only if x_10 is sad.