Wild blackberry vine...how to remove it for good?

Please somebody help me. The previous owners planted a wild blackberry vine in the backyard. I want it out! We've been here for 2 yrs now and i can't get it to die. I've googled everything and nothing works. We have an orange tree right beside it so I'm afraid whatever i pour or spray will kill the orange tree.

We cant mow over it or anything else like that because we have rocks where the vine started.


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