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