Jail system makes no sense

As everyone knows:

1. There is at least one person who has not commited a crime and gone to jail.
2. There is at least one person who has commited a crime and gone to jail.
3. If someone has also commited a crime, they go to jail.

Lets say person A is in variable A, person B is in variable B, person C is in variable C, the jail is in the variable J, and the crime is in the variable D.

A has not done D, so A≠D

B has done D, so B=D

C has done D, so C=D

N=D=J

A≠J

B=D

C=D

D=B

D=C

D=C=B

C=B

Lets say person B was 0, and person C was 1. This would mean that 0=1. Now release everyone from jail or 0=1.