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_3 for which if x_3 reads a book, then x_3 is bored. For all x_3, if x_3 were bored, then x_3 is listening to a song. For all x_3, x_3 will not sleep or x_3 will cook. For all x_3, if x_3 cooks, then x_3 is listening to a song. For all x_3, x_3 will sleep or x_3 will read a book.
There is at least one x_3 for which if x_3 reads a book, then x_3 is listening to a song can be inferred via the existential transitivity rule. For all x_3, x_3 will read a book or x_3 will cook can be inferred via the universal resolution rule.