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 plays a game, then x_6 is climbing a mountain. For all x_6, x_6 will listen to a song or x_6 is an artist. There is at least one x_6 for which if x_6 were an electrician, then x_6 is playing a game. For all x_6, if x_6 were an artist, then x_6 is an electrician. For all x_6, if x_6 listens to a song, then x_6 is climbing a mountain.
There is at least one x_6 for which if x_6 were an electrician, 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 an artist, then x_6 is playing a game can be inferred via the existential transitivity rule.