What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? There is at least one x_15 for which x_15 is an artist if and only if x_15 is a scientist. For all x_15, x_15 is a politician. For all x_15, if x_15 were a politician, then x_15 is excited. For all x_15, x_15 is a scientist.
For all x_15, x_15 is excited. For all x_15, x_15 is a politician and x_15 is a scientist. For all x_15, x_15 is a scientist and x_15 is a politician. There is at least one x_15 for which if x_15 were an artist, then x_15 is a scientist. There is at least one x_15 for which if x_15 were a scientist, then x_15 is an artist.