Once the chickens are cooled, take a large cutting board and carefully de-bone, placing the skin and bones in 1 pile and the meat in a separate pile.
Once de-boned, cut the bones in half and then place the skin and bones back into the Instant Pot.
Add 2 qt water to the Instant Pot
Set to SOUP setting for 40 minutes, close the lid and set the pressure seal to the locked position.
While the bone broth is cooking, rough chop the chicken into small 1/4" cubes as much as possible.
Add the chopped chicken to the stock pot.
Once the Instant Pot is finished open the pressure seal and allow the steam to release completely before carefully opening the lid.
Strain the skin, bones and debris out the Instant Pot and dispose of.
Pour the broth into the large stock pot.