What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_3, if x_3 plays a game, then x_3 is writing a letter. There is at least one x_3 for which if x_3 drinks water, then x_3 is playing a game. For all x_3, if x_3 writes a letter, then x_3 is playing a game. For all x_3, x_3 will not drink water. For all x_3, if x_3 plays a game, then x_3 is drinking water.
For all x_3, x_3 will not play a game. For all x_3, if x_3 writes a letter, then x_3 is drinking water. There is at least one x_3 for which if x_3 drinks water, then x_3 is writing a letter. For all x_3, x_3 will play a game if and only if x_3 will write a letter. For all x_3, x_3 will write a letter if and only if x_3 will play a game. There is at least one x_3 for which x_3 will drink water if and only if x_3 will play a game. There is at least one x_3 for which x_3 will play a game if and only if x_3 will drink water.