Claim for car insurance is canceled will be, nor Carfax, the incident reflected on the report of the car?

My car was rammed and determined by the representative of the insurance claims that I do not fault. The man who ended up behind me, but not guaranteed. I am protected by “collision” of the accident, after paying a $ 500 deductible, though. The damage is not much. I wondered if I cancel the request now, after inspecting the vehicle, the incident is still needed to appear on my report Carfax? I know that the insurance company entering information on the ISO, even if the application is canceled. Sun Carfax will be able to pull information from this incident? The damage is not much need to replace only the bumper, so I wonder

Only a few insurance companies provide data to Carfax. Insurance report total losses and thefts. Well, if there is a police report that the data is expected to be published on Carfax.