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, if x_10 listens to a song, then x_10 is driving a car. For all x_10, if x_10 were an artist, then x_10 is playing a game. For all x_10, x_10 is an artist or x_10 will listen to a song. For all x_10, if x_10 drives a car, then x_10 is playing a game. For all x_10, if x_10 plays a game, then x_10 is an artist. For all x_10, if x_10 plays squash, then x_10 is not playing a game.
For all x_10, if x_10 listens to a song, then x_10 is playing a game can be inferred via the universal transitivity rule. For all x_10, if x_10 drives a car, then x_10 is an artist can be inferred via the universal transitivity rule. For all x_10, x_10 is an artist if and only if x_10 will play a game can be inferred via the universal biconditional introduction rule. For all x_10, x_10 will play a game if and only if x_10 is an artist can be inferred via the universal biconditional introduction rule.