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: If Joseph doesn't play tennis, then Joseph is a scientist. Joseph is not running. For all x_11, x_11 will go running if and only if x_11 will play tennis.
For all x_11, if x_11 goes running, then x_11 is playing tennis can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 plays tennis, then x_11 is running can be inferred via the universal biconditional elimination rule.