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: There is at least one x_7 for which x_7 will listen to a song if and only if x_7 will go running. For all x_7, x_7 will not read a book. For all x_7, x_7 will read a book if and only if x_7 is excited. For all x_7, x_7 is excited if and only if x_7 will listen to a song.
For all x_7, if x_7 reads a book, then x_7 is excited can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 were excited, then x_7 is listening to a song can be inferred via the universal biconditional elimination rule. There is at least one x_7 for which if x_7 listens to a song, then x_7 is running can be inferred via the existential biconditional elimination rule. For all x_7, if x_7 were excited, then x_7 is reading a book can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 listens to a song, then x_7 is excited can be inferred via the universal biconditional elimination rule. There is at least one x_7 for which if x_7 goes running, then x_7 is listening to a song can be inferred via the existential biconditional elimination rule. For all x_7, x_7 is not excited can be inferred via the universal biconditional elimination rule.