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_5, if x_5 reads a book, then x_5 is bored. There is at least one x_5 for which x_5 will listen to a song if and only if x_5 is bored. For all x_5, x_5 will not listen to a song.
There is at least one x_5 for which if x_5 listens to a song, then x_5 is bored can be inferred via the existential biconditional elimination rule. There is at least one x_5 for which if x_5 were bored, then x_5 is listening to a song can be inferred via the existential biconditional elimination rule. There is at least one x_5 for which x_5 is not bored can be inferred via the existential biconditional elimination rule.