Let me start with what happened and what needs to be done. When the previous homeowner bought the house he ripped up all the carpet in the basement and covered the whole floor in leveling cement because it was so pitted. The front half turned out pretty good but the further back you went the worse it got to the point that the floor was the consistency of a gravel road. So I chipped all that junk up and decided that it probably would be best to have a pro look at it. He said what needs to be filled is really to shallow. He gave us two options we raise the floor 3"-4", which wont work because we have radiant heat, and then I won't be able to fit in basement; option 2 which is the cut the floor down 3"-4" and fill it back up make it look nice and pretty. Option 2 would cost us around $900-$1100 for demo and laying cement. What are your opinions on this?