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_1, if x_1 were happy, then x_1 is listening to a song. There is at least one x_1 for which x_1 is bored. For all x_1, if x_1 were bored, then x_1 is listening to a song.
There is at least one x_1 for which x_1 will listen to a song can be inferred via the existential modus ponens rule.