My girlfriend told me to never talk to her again so I stopped talking to her. Now she is mad at me for not talking to her... what did I do wrong?

Anonymous
Me and my girlfriend got into an argument about a week and a half ago. There was a lot of yelling involved and some harsh words were exchanged. At the climax of the argument, my girlfriend said "NEVER TALK TO ME AGAIN!!!". I said, in a frustrated voice, "fine". After the argument, I obeyed her wishes--I stopped talking to her. I didn't call her, text her or IM her. After a week and a half (today), she showed up to my apartment even angrier than when I left her. She banged on the door with a fiery rage and said "Open Up!!!". I let her in and wanted to know what was the matter. She said "Why the fuck are you not talking to me anymore!" to which I said "Because in the last argument you told me to never talk to you again!". She said "You are a fucking idiot" to which I said "How am I an idiot? You told me to never talk to you again so, as you requested, I stopped talking to you. I am pretty sure when you tell someone to never talk to you again, you want them to not talk to you again." She then stormed off in a tizzy. I talked to some of my friends (both guys and girls) and they all unanimously agreed that I fucked up. I don't understand what I did wrong.
My girlfriend told me to never talk to her again so I stopped talking to her. Now she is mad at me for not talking to her... what did I do wrong?
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