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: For all x_12, x_12 will play a game or x_12 is not a lawyer. For all x_12, x_12 will go running or 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 lawyer. For all x_12, if x_12 goes running, then x_12 is a lawyer.
For all x_12, if x_12 were a lawyer, then x_12 is playing a game can be inferred via the universal rewriting rule. There is at least one x_12 for which x_12 is a lawyer can be inferred via the existential disjunction elimination rule.