What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_12, if x_12 were bored, then x_12 is a scientist. There is at least one x_12 for which x_12 is not a soldier. For all x_12, x_12 is a scientist if and only if x_12 is bored. For all x_12, x_12 is a scientist if and only if x_12 is a soldier.
For all x_12, if x_12 were a scientist, then x_12 is bored. For all x_12, if x_12 were a scientist, then x_12 is a soldier. For all x_12, if x_12 were bored, then x_12 is a scientist. For all x_12, if x_12 were a soldier, then x_12 is a scientist. There is at least one x_12 for which x_12 is not a scientist.