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_16, x_16 is excited or x_16 will play tennis. There is at least one x_16 for which x_16 is not excited. For all x_16, x_16 will play a game. For all x_16, x_16 is sad.
There is at least one x_16 for which x_16 will play tennis can be inferred via the existential disjunctive syllogism rule. For all x_16, x_16 will play a game and x_16 is sad can be inferred via the universal conjunction rule. For all x_16, x_16 is sad and x_16 will play a game can be inferred via the universal conjunction rule.