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: Sarah is a soldier. For all x, if x climbs a mountain, then x is a scientist. For all x, if x were curious, then x is a scientist. For all x, x will climb a mountain or x is curious.
There is at least one x for which x is a soldier can be inferred via the existential generalization rule. For all x, x is a scientist can be inferred via the universal disjunction elimination rule.