<human>: Me and my girlfriend have been dating for around a year now and around 8 months ago a girl at my university said that I tried to come onto her when I was intoxicated, I truly believe that I did not although my memory is jaded (alcohol), my friends who were there at the time said that I did nothing untoward. 

So I thought this was well in the past however we got speaking about trust last night and she said she does not trust me, which I understand as from her point of view it must be hard which I do not mind as I thought that I could re-build it with enough effort and dedication. However my girlfriend went on to say that she will NEVER trust me as the way she sees it is she placed trust in me, I broke it and therefore she can never trust me again. 

From my point of view a relationship cannot survive without trust and therefore I am really considering breaking things off, I do not see any future in a relationship without trust. What do you guys think?

Can you condense the text into three sentences or less?
<bot>: Girlfriend says she will never trust me after girls spread gossip about me, I dont see a future without trust, what do I do?