wow. pretty much everyone who has posted any comments on here are jerks. you're talking about a REAL PERSON. i'll agree she's psychotic sounding but who the hell are any of you to say "dump her!" or "lets make her prove her depression!" obviously if she carved her last bf's name in her arm she has attachment issues and is overly emotional and needs help. you all need to quit being so insensitive.
OP: you need to break it off with her but you should also definitely at least invest in setting up someone that she can attach herself to afterwards who is TRAINED to handle these situations. don't stay because you feel obligated, you deserve true love but don't be cruel either or you'll carry it with you for the rest of your life, guaranteed. i don't care what people say otherwise, you will never be rid of her memory if you do it cruelly.