Heat the olive oil in a large pot over medium heat. Once heated, add the onions, celery, and carrots and saute, stirring occasionally, until softened. Add the garlic, paprika, rosemary, salt, and pepper, and cook for another minute while stirring. Add the broth, liquid smoke, and 2 of the cans of beans. Increase heat and bring to a boil, stirring occasionally. Reduce heat to medium-low and simmer until the veggies are tender. 15-20 minutes.