What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_1, x_1 will not play a game. For all x_1, if x_1 plays a game, then x_1 is sad. There is at least one x_1 for which if x_1 were sad, then x_1 is playing a game.
There is at least one x_1 for which x_1 is not sad. There is at least one x_1 for which x_1 is sad if and only if x_1 will play a game. There is at least one x_1 for which x_1 will play a game if and only if x_1 is sad.