What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all z_1, if z_1 were poor, then z_1 is playing a game. There is at least one z_1 for which z_1 is an office clerk if and only if z_1 will play a game. For all z_1, if z_1 were an office clerk, then z_1 is poor.
For all z_1, if z_1 were an office clerk, then z_1 is playing a game. There is at least one z_1 for which if z_1 were an office clerk, then z_1 is playing a game. There is at least one z_1 for which if z_1 plays a game, then z_1 is an office clerk.