What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: There is at least one x_12 for which x_12 is a doctor or x_12 will not play a game. For all x_12, if x_12 were an astronaut, then x_12 is not a doctor. For all x_12, if x_12 were a police officer, then x_12 is a doctor. For all x_12, x_12 is a police officer or x_12 will play a game.
There is at least one x_12 for which if x_12 plays a game, then x_12 is a doctor can be inferred via the existential rewriting rule.