If you are needing to do sur-veys to access a custom .PUP file then it is most likely a fake or one that can severely brick your console. The only way to downgrade at this stage is to use hardware modification.
The product needed is called an E3 Flasher and can only be used if your Playstation fits within specific requirements. For instance, if you bought your PS3 and it was on higher firmware than 3.55 then your out of luck and it must be a specific model with a NOR chip.