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_9 for which x_9 will play a game if and only if x_9 is a soldier. For all x_9, x_9 is a lawyer or x_9 will not play a game.
For all x_9, if x_9 plays a game, then x_9 is a lawyer can be inferred via the universal rewriting rule. There is at least one x_9 for which if x_9 plays a game, then x_9 is a soldier can be inferred via the existential biconditional elimination rule. There is at least one x_9 for which if x_9 were a soldier, then x_9 is playing a game can be inferred via the existential biconditional elimination rule.