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 z_2 for which z_2 will play a game if and only if z_2 is a scientist. For all z_2, z_2 is a scientist if and only if z_2 is a cashier. For all z_2, z_2 is a cashier if and only if z_2 will climb a mountain. For all z_2, z_2 will not play a game.
For all z_2, if z_2 were a scientist, then z_2 is a cashier. For all z_2, if z_2 were a cashier, then z_2 is climbing a mountain. There is at least one z_2 for which if z_2 plays a game, then z_2 is a scientist. For all z_2, if z_2 were a cashier, then z_2 is a scientist. For all z_2, if z_2 climbs a mountain, then z_2 is a cashier. There is at least one z_2 for which if z_2 were a scientist, then z_2 is playing a game. There is at least one z_2 for which z_2 is not a scientist.