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, x_3 is fast if and only if x_3 will play a game. For all x_3, x_3 is not fast. There is at least one x_3 for which x_3 is an astronaut if and only if x_3 will play a game.
For all x_3, if x_3 were fast, then x_3 is playing a game. There is at least one x_3 for which if x_3 were an astronaut, then x_3 is playing a game. For all x_3, if x_3 plays a game, then x_3 is fast. There is at least one x_3 for which if x_3 plays a game, then x_3 is an astronaut. For all x_3, x_3 will not play a game.