Infringement of a Mark Occurs When

Infringement of a mark occurs when:

A) a person intends to confuse purchasers.
B) it is proved that purchasers were actually confused by use of an identical or substantially indistinguishable mark.
C) and only when, the mark is identical to another mark.
D) a person without authorization uses an identical or substantially similar mark that is likely to cause confusion, to cause mistake, or to deceive.