If one end is connected to the house, and the other end is rolled up in your yard, it sounds like it broke in the middle.
The only reasons I can think of that they cannot fix it is either they don't have the cable they need on the truck (seems unlikely), don't have a ladder or lift to get to the drop/house (also seems unlikely), or there is a hazard keeping them from doing the work - like low-hanging power cables or other hazard.
If you can't trace it back to where it connects at the pole, maybe there is something there that you are not aware of.
NOTHING justifies terrorism. We don't negotiate with terrorists. Those that support terrorists are terrorists.