Heat the oil in a Dutch oven over medium-high heat and cook the chicken with 1 teaspoon salt for 6 to 8 minutes until it reaches 165°F; transfer it to a plate.
Cook the onion for 5 minutes, then stir in the garlic and cumin for 30 seconds.
Blend 1 1/2 cans of beans with 2 cups broth until smooth and pour the mixture into the pot.
Add the remaining beans, broth, green chiles, corn and salt and simmer for 15 minutes.
Return the chicken for 3 minutes, remove the pot from the heat and stir in the lime juice.