We had a section of land cleared via "mulching" which grinds down everything. We now have all kinds of random vines and trees coming up from the vines underneath. Our neighbor did the same thing and brought in heavy equipment to rip it all out. We don't have that option because we have planted fruit trees in our area to start a small orchard. We have oaks, sweetgums, grape vines, and other vines coming up from the ground. We have tried various weed and grass killers thinking over time it would reduce what is coming up but it seems to kill the above ground but not the below ground.

What can we do besides bring in heavy equipment? We are told it is a very thick root mat by the neighbor and we want it to basically die and compost.