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_5 for which if x_5 were a musician, then x_5 is listening to a song. For all x_5, if x_5 listens to a song, then x_5 is drinking water. For all x_5, if x_5 drinks water, then x_5 is listening to a song.
There is at least one x_5 for which if x_5 were a musician, then x_5 is drinking water can be inferred via the existential transitivity rule. For all x_5, x_5 will listen to a song if and only if x_5 will drink water can be inferred via the universal biconditional introduction rule. For all x_5, x_5 will drink water if and only if x_5 will listen to a song can be inferred via the universal biconditional introduction rule.