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_4, x_4 will not play tennis. For all x_4, if x_4 cooks, then x_4 is listening to a song. There is at least one x_4 for which x_4 will play tennis or x_4 will cook.
There is at least one x_4 for which x_4 will cook can be inferred via the existential disjunctive syllogism rule.