In a soup pot over medium flame, heat oil. Add vegetables and sauté for 10–15 minutes, until soft.

Add salt, pepper, and butter and cook until butter is melted.

Add flour and stir very well. (The vegetables will look dry and clumpy; this is normal.)

Add beer and stir well until it thickens.

Slowly add milk and water. Bring to a boil.

Add cheese, mixing well until fully melted. (It may take a few minutes and seem clumpy at first.)