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_16, if x_16 reads a book, then x_16 is working. For all x_16, if x_16 reads a book, then x_16 is bored. For all x_16, if x_16 were bored, then x_16 is listening to a song. There is at least one x_16 for which x_16 will read a book if and only if x_16 will listen to a song.
For all x_16, if x_16 reads a book, then x_16 is listening to a song can be inferred via the universal transitivity rule. There is at least one x_16 for which if x_16 reads a book, then x_16 is listening to a song can be inferred via the existential biconditional elimination rule. There is at least one x_16 for which if x_16 listens to a song, then x_16 is reading a book can be inferred via the existential biconditional elimination rule.