See http://confluence.jetbrains.com/display/TCD7/Inspections+(.NET)#Inspections%28.NET%29-Additionaloptions for instructions on pointing the TeamCity inspection runner at alternate ReSharper settings.
The settings file you provide should disable the "redundant this." inspection. If you're not sure how to do this, take a look at your client-side ReSharper settings file, which presumably already has it disabled.