The first order heirs are parents, spouses and children. You have no children, which means that 50% of the house is inherited by his parents and you. If your parents-in-law are alive, then you own 2/3 of the house and your parents own 1/3 of the house.
I suggest you use compensation to allocate the house. Since you still have a loan on your house, you can calculate how much you paid back when your wife left. The market price of the house * the ratio of down payment and repayment to the total house price * 1/3, and compensate her parents. If the negotiation is successful, then the house can be kept, and the decoration money will not be inherited, and it will continue to be supplied by itself in the future.
Under the current circumstances, we must go to the notary office or the court for property analysis. Otherwise it will be more troublesome in the future (in case the old man dies). There are two schemes for analyzing real estate: 1. Remove your wife's name from the property ownership certificate and add your in-laws' name, so that you account for 2/3 and your parents account for 1/3. 2. Compensate your parents-in-law with cash. They gave up the property right of the house and changed your name with the real estate license.