Melt butter (3 tablespoons) and sauté onion, celery, and carrots, seasoned with salt and pepper to taste, for about 5 minutes, until softened.
Add the split peas, chicken stock (6 cups), diced cooked ham), and the 3 bay leaves.
Cover pressure cooker and set to manual, high pressure for 15 minutes.
Allow the pressure to naturally release for 10-15 minutes.
Taste and adjust seasonings if necessary. Serve immediately, or store in your refrigerator for up to 1 week or freezer in an airtight container for up to 6 months.