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 if x_7 reads a book, then x_7 is climbing a mountain. For all x_7, x_7 will not read a book. For all x_7, if x_7 climbs a mountain, then x_7 is a bartender. For all x_7, x_7 will read a book or x_7 is not a bartender.
There is at least one x_7 for which if x_7 reads a book, then x_7 is a bartender can be inferred via the existential transitivity rule. For all x_7, if x_7 were a bartender, then x_7 is reading a book can be inferred via the universal rewriting rule.