Contracted terminated cause of false accusations

I'd like to say I feel very upset and disappointed about the way I was treated at Virgin Active Mitchells Plain. There were accusations laid against me for touching a minors arms inappropriately. She made and complaint to the gym and they approached me about this and me obviously not knowing anything about this denied anything like this happening. I've went to see management to explain my side of the story and even given them a written statement only to be handed a letter from them saying my membership has been terminated. There was no evidence or camera footage to prove these allegations that's why I feel I was unfairly treated and Virgin Active was only acting out to cover themselves.