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_10, x_10 will read a book. For all x_10, if x_10 cooks, then x_10 is playing tennis. For all x_10, if x_10 reads a book, then x_10 is running. There is at least one x_10 for which if x_10 were a doctor, then x_10 is playing tennis. For all x_10, x_10 will cook or x_10 is a doctor.
For all x_10, x_10 will go running can be inferred via the universal modus ponens rule. There is at least one x_10 for which x_10 will play tennis can be inferred via the existential disjunction elimination rule.