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_6, if x_6 were a police officer, then x_6 is excited. For all x_6, x_6 will play tennis or x_6 is not excited. There is at least one x_6 for which if x_6 plays tennis, then x_6 is a police officer.
There is at least one x_6 for which if x_6 plays tennis, then x_6 is excited can be inferred via the existential transitivity rule. For all x_6, if x_6 were excited, then x_6 is playing tennis can be inferred via the universal rewriting rule.