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_16 for which if x_16 climbs a mountain, then x_16 is a carpenter. For all x_16, if x_16 were happy, then x_16 is a carpenter. For all x_16, if x_16 cooks, then x_16 is not a carpenter. For all x_16, x_16 is happy or x_16 will climb a mountain. For all x_16, if x_16 were curious, then x_16 is cooking.
There is at least one x_16 for which x_16 is a carpenter can be inferred via the existential disjunction elimination rule.