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_5, if x_5 drinks water, then x_5 is fast. There is at least one x_5 for which if x_5 were an astronaut, then x_5 is drinking water. For all x_5, x_5 is an astronaut or x_5 will not climb a mountain.
There is at least one x_5 for which if x_5 were an astronaut, then x_5 is fast can be inferred via the existential transitivity rule. For all x_5, if x_5 climbs a mountain, then x_5 is an astronaut can be inferred via the universal rewriting rule.