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_3, if x_3 were curious, then x_3 is rich. For all x_3, if x_3 listens to a song, then x_3 is rich. For all x_3, x_3 is sad or x_3 will listen to a song. For all x_3, x_3 is not sad or x_3 is a soldier. For all x_3, if x_3 were a soldier, then x_3 is curious.
For all x_3, if x_3 were a soldier, then x_3 is rich can be inferred via the universal transitivity rule. For all x_3, x_3 will listen to a song or x_3 is a soldier can be inferred via the universal resolution rule.