<human>: Can you condense the text into three sentences or less?

I met this girl at a club and we've known each other for 2 months now, From the start I knew we had no mutual interests and were not suited for each other, I knew our relationship was purely physical attraction. I told her this from the start but we continued to see each other. 

We are both very intimate and when we're together our behaviour mimics those that have been in a relationship for years. Though we have nothing in common to talk about. It felt like just being in each others company was more than enough.

Knowing that we weren't going to get anywhere we tried to have a mutual breakup. The day after the breakup I couldn't get her off my mind, I thought about her the whole day and had terrible anxiety I never realised to what extent I liked her until that day but I avoided messaging her. Later that night she messaged me telling me how she was feeling, turns out she had felt the same way the whole day.

We agreed to see each other again but we both don't see the point. How are we supposed to end this? We know we won't ever date due to the age difference and the fact we have nothing in common. We have nothing to base our relationship off of. We are both hoping that later on as we learn more about each other we'll give each other a reason not to like each other but we both know we can't handle another day like the day after our mutual breakup. Will it be easier to end it with time?
<bot>: Trying to end a relationship where we both are completely infatuated with one another but know we can't be together. How should we go about this?