For anyone unsure of what to do if you feel your were wrongfully banned...
Here is the appropriate tried and true method of dealing with the issue.
Step 1 - Post your complaint on the Forums and plead your innocence. Complain about Riot's automatic response emails. Then demand that Riot prove your wrongdoing.
Step 2 - Sit back and grab some popcorn as you watch people argue about Riots System and whether or not OP is lying. Occasionally chime in when someone has a comment that you particularly agree with and use it as an opportunity to further complain about Riot.
Step 3 - If your discussion has garnered a big enough following, turn around and bend over as you prepare for the
from Lyte.
On a side note, I have seen a lot of posts like these where people complain about injustice and demand that Riot provide proof. Riot has already stated that they will not give away methods of detecting and banning players who misuse the game, so I am not sure why people continue to take that route. Also, I almost never see an instance where Riot was actually wrong, and the few times I have seen it they were quick to remove the ban. Riot is not some evil oppressor waiting ban everyone. They do make some mistakes, but in these circumstances it definitely seems few and far between.