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: There is at least one x_6 for which if x_6 cooks, then x_6 is driving a car. For all x_6, if x_6 were an electrician, then x_6 is playing a game. For all x_6, if x_6 climbs a mountain, then x_6 is an electrician. For all x_6, if x_6 plays a game, then x_6 is cooking.
For all x_6, if x_6 were an electrician, then x_6 is cooking can be inferred via the universal transitivity rule. For all x_6, if x_6 climbs a mountain, then x_6 is playing a game can be inferred via the universal transitivity rule. There is at least one x_6 for which if x_6 plays a game, then x_6 is driving a car can be inferred via the existential transitivity rule.