Proof is solely utilized in conversation related infractions, therefore it is not surprising they didn't supply any in this case. Sucks you got banned if you really didn't do anything. Is not there anything you could have possibly done to make Jagex believe you botted? I have heard of RuneScape gold folks getting temp bans since they spent 10+ hours a day training Firemaking for instance. It can be also possible that through the time you spent Woodcutting you unintentionally formed clicking patterns which duped Jagex's anti-bot system or something of the sort.
You never bought or bought gold? In case you got banned for using macros and gold farming and you are sure you never botted maybe Jagex is speaking to the later only. There is probably not anything you can do other than allure, and if you appeal you should likely attempt to calm down to make certain you write a well thought out and considerate appeal. If you have initially banned you have all the reasons to be angry, but a hotheaded appeal surely won't help you.
. funny. . I have had no crimes ever. And beleive me I wrote a sincere not mad message telling them I have never botted and if I needed, why would I take the time to appeal because if I did bot I'd just proceed and bot on a new account. And no, I have never bought gold never visited a gold purchasing site never done anything against their rules. I am not trying to buy OSRS gold get angry but I've put so much time into this game and to just be banned because of this is rediculous. My true fear at this time is I had been hacked and someone just completely screwed with my account if that's the situation... oh my god... I don't know what to believe.