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_11 for which if x_11 plays a game, then x_11 is working. For all x_11, x_11 is an astronaut. For all x_11, if x_11 works, then x_11 is an artist. For all x_11, if x_11 were an artist, then x_11 is working. For all x_11, if x_11 were an astronaut, then x_11 is an artist.
For all x_11, x_11 is an artist. For all x_11, if x_11 were an astronaut, then x_11 is working. There is at least one x_11 for which if x_11 plays a game, then x_11 is an artist. For all x_11, x_11 will work if and only if x_11 is an artist. For all x_11, x_11 is an artist if and only if x_11 will work.