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_15, if x_15 were curious, then x_15 is listening to a song. For all x_15, if x_15 were a writer, then x_15 is writing a letter. For all x_15, if x_15 listens to a song, then x_15 is not playing a game. For all x_15, x_15 is a writer and x_15 is a lawyer. For all x_15, if x_15 writes a letter, then x_15 is playing a game.
For all x_15, if x_15 were a writer, then x_15 is playing a game can be inferred via the universal transitivity rule. For all x_15, x_15 is a writer can be inferred via the universal simplification rule. For all x_15, x_15 is a lawyer can be inferred via the universal simplification rule.