This is my cabbage soup recipe, and no, the cabbage does not come out slimy.
makes about 12 quarts
6lbs tomatoes, chopped
7 lbs carrots, chopped
1 head cabbage, shredded
2 stalks celery, sliced
2 bell peppers, chopped
3 lbs onions, chopped
Mix all ingredients, add enough water or broth to cover and bring to a boil. Put in hot jars, and add 1/2 tsp salt to each jar (I actually use Lawry's seasoning salt for the salt).
Leave 1 inch head space and can quarts in pressure canner at 10 lbs pressure for 90 minutes.