Does Seller or Buyer pay for professional cleaner?

[James Morrissey]

Recently I sold my home, and the final walk-through was one hour before closing. All personal items were removed from the house and was given more than just a broom sweep clean. The oven dishwasher refrigerator and microwave were all cleansed prior to leaving the home.  all nail holes from pictures or mirrors were spackled and painted. The windows were cleaned a new air filter was placed and all carpets were vacuumed.  The granite countertops were shined and moldings were wiped down.

During the final walk-through the buyer stated that the house was left in disarray. We took videos of our cleaning and provided it to both agents. The buyer demanded for a professional clean. There was no concession or statement in our agreement that the seller would have to pay for a professional cleaner.

My question is who would pay for the professional cleaner in this circumstance?