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, x_10 will play a game. For all x_10, if x_10 plays a game, then x_10 is a bartender. There is at least one x_10 for which x_10 will listen to a song and x_10 is a carpenter.
For all x_10, x_10 is a bartender can be inferred via the universal modus ponens rule. There is at least one x_10 for which x_10 will listen to a song can be inferred via the existential simplification rule. There is at least one x_10 for which x_10 is a carpenter can be inferred via the existential simplification rule.