Engine Burning Oil problems of the 2006 Honda Civic

As the single owner and driver of an 06 Honda Civic that I purchased new and paid for in full, I have full service for the vehicle as recommended at the dealer site where it is purchased. I had the vehicle serviced for lube/oil/& oil filter change on 7/27/2015 and they also perform the multipoint inspection. In just 12 days, engine overheating occurred while I was driving on I-95. Upon my return home from work, I heard a humming I had never heard before. As I slowed down to listen closer to determine origin, I see that no engine lights. After few minutes, the temperature gauge indicated sever overheating, then the car sputters, rapidly losing power -I barely made it to the side of the road safely out of traffic on I-95 when the car shuts off and smoke. I had absolutely no warning or even a hint of a problem; no noises, no dash lights on, no issues with ignition, gears, or driving performance. I had to arrange the car tow to my dealer’s service department. After that, the dealer reports engine is completely burned, not drivable and not repairable. The oil strip burns half way. They don’t know what causes the engine overheated. This overheating problem is not due to the cracks that are included in the warranty extension. They don't cover the replacement cost. If we want to replace a engine, a used engine block is $5600. It looks like I will need to rent a car for at least next two weeks because I am still negotiating with my dealer about this issue and if it is covered by any warranty. They are unable to answer me what cause the issue when the car just finished its service and everything including engine condition is great. I could go on and on and on with the costs involved, time involved and the incredible inconvenience of this event…. . Not to mention the safety issue while driving on the high way!!!.