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, x will go running. There is at least one x for which x will read a book if and only if x will listen to a song. For all x, if x listens to a song, then x is not running.
For all x, x will not listen to a song can be inferred via the universal modus tollens rule. There is at least one x for which if x reads a book, then x is listening to a song can be inferred via the existential biconditional elimination rule. There is at least one x for which if x listens to a song, then x is reading a book can be inferred via the existential biconditional elimination rule.