I don't see why you're persisting here, your dad's dirty diesel failed the gas test, then it was driven, then it passed.
It's not a diesel.
It was driven to a test centre - where it was immediatly tested on a while you wait appointment. It failed. It was driven home.
SEVERAL DAYS LATER - ie, the engine was off and it had DAYS TO COOL DOWN it was driven a much shorter distance to the main dealer, who tested the car, which passed without issue.
The key point here is that a perfectly serviceable car with no faults was driven to an MOT test centre, and a test was then performed, which it failed. This shouldn't happen - a car should fail the MOT if it has a fault or something wrong with it, not if it is in full working order!
