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 works, then x_6 is climbing a mountain. For all x_6, if x_6 climbs a mountain, then x_6 is a server. There is at least one x_6 for which if x_6 were a poet, then x_6 is working. For all x_6, if x_6 were a server, then x_6 is a poet.
For all x_6, if x_6 works, then x_6 is a server can be inferred via the universal transitivity rule. For all x_6, if x_6 climbs a mountain, then x_6 is a poet can be inferred via the universal transitivity rule. There is at least one x_6 for which if x_6 were a poet, then x_6 is climbing a mountain can be inferred via the existential transitivity rule. There is at least one x_6 for which if x_6 were a server, then x_6 is working can be inferred via the existential transitivity rule.