A properly sloped drain (1/4" per foot) should drain everything with the flush. Debris should not remain in the line waiting for more water to push it out. Contrary to Roto Rooter advertising, not all of them are qualified plumbers. I would question the company you used because if they couldn't cut through the blockage, they either didn't have very good equipment or were not well qualified. My advise is to contact a plumbing company. If the blockage is indeed dirt, then you have a real problem to deal with especially if the break in the line is under the concrete. Once the drain is cleared, a camera inspection will verify what and where the problem is.