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_9 for which if x_9 makes tea, then x_9 is listening to a song. For all x_9, if x_9 were a mechanic, then x_9 is making tea. For all x_9, if x_9 were a poet, then x_9 is a mechanic. For all x_9, if x_9 listens to a song, then x_9 is a poet.
For all x_9, if x_9 were a poet, then x_9 is making tea can be inferred via the universal transitivity rule. For all x_9, if x_9 listens to a song, then x_9 is a mechanic can be inferred via the universal transitivity rule. There is at least one x_9 for which if x_9 makes tea, then x_9 is a poet can be inferred via the existential transitivity rule. There is at least one x_9 for which if x_9 were a mechanic, then x_9 is listening to a song can be inferred via the existential transitivity rule.