Roast the peppers on the stovetop on medium-high heat. A gas stove works the best but it works fine on an electric stove.
Rinse them in a colander and set aside.
Add the filtered water and split peas to the onions.
Bring to a boil, then reduce heat to a simmer for about 1 1/2 hours or until peas are super soft.
Add the paprika, lemon juice, cheese, basil and corn to the soup.
Or puree you can the soup and then add the peppers and corn.
I recommend buying yellow spilt peas in a packag. If the split peas are old, they can take a lot longer to cook. It is hard to tell how fresh they are especially if they are from the bulk section.
If your peas aren't getting soft after an hour and a half, you can try adding 1/4 teaspoon baking soda. You might need to add more water at the very end. Be careful not to add too much water. Add a little at a time in the end. Taste before adding more.