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_6, if x_6 were a musician, then x_6 is bored. For all x_6, if x_6 were bored, then x_6 is climbing a mountain. For all x_6, x_6 will not climb a mountain. There is at least one x_6 for which if x_6 works, then x_6 is a musician.
For all x_6, x_6 is not bored can be inferred via the universal modus tollens rule. For all x_6, if x_6 were a musician, then x_6 is climbing a mountain can be inferred via the universal transitivity rule. There is at least one x_6 for which if x_6 works, then x_6 is bored can be inferred via the existential transitivity rule.