Vegetarian Chefs Salad

Name: Vegetarian Chef's Salad
Ingredients: 1 pound white mushrooms, trimmed and halved; 3 tablespoons extra-virgin olive oil; Kosher salt and freshly ground pepper; 4 large eggs; 1/2 pound yellow wax beans, trimmed; 3 tablespoons plus 1 teaspoon red wine vinegar; 4 ounces smoked or baked tofu; 1/3 cup fat-free plain yogurt; 12 cups mixed greens (about 12 ounces); 2 vacuum-packed cooked beets, cut into sticks; 3 ounces sharp cheddar cheese, cut into sticks; 2 tablespoons salted roasted sunflower seeds