What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_12, if x_12 plays a game, then x_12 is a police officer. There is at least one x_12 for which if x_12 were a police officer, then x_12 is playing a game. For all x_12, if x_12 plays a game, then x_12 is a mechanic. For all x_12, if x_12 were a mechanic, then x_12 is playing a game.
For all x_12, if x_12 were a mechanic, then x_12 is a police officer. There is at least one x_12 for which if x_12 were a police officer, then x_12 is a mechanic. For all x_12, x_12 will play a game if and only if x_12 is a mechanic. For all x_12, x_12 is a mechanic if and only if x_12 will play a game. There is at least one x_12 for which x_12 is a police officer if and only if x_12 will play a game. There is at least one x_12 for which x_12 will play a game if and only if x_12 is a police officer.