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_8, if x_8 plays tennis, then x_8 is working. There is at least one x_8 for which x_8 will play tennis or x_8 will not work. For all x_8, x_8 will not sleep. For all x_8, if x_8 works, then x_8 is sleeping.
For all x_8, x_8 will not work can be inferred via the universal modus tollens rule. For all x_8, if x_8 plays tennis, then x_8 is sleeping can be inferred via the universal transitivity rule. There is at least one x_8 for which if x_8 works, then x_8 is playing tennis can be inferred via the existential rewriting rule.