What is the ruling on delaying the division of the house, and is one considered sinful for doing so? And how can one expiate the sin in this matter, especially with the sister from the father's side demanding her share of the inheritance, and the mother refusing to sell the house?

The deceased's assets transfer directly to the heirs, and the distribution of the inheritance may not be delayed except by agreement of the heirs. If any heir requests their share, it must be given to them. The pension due to the woman is hers alone. The amount offered to the sister is not sufficient for her share of the inheritance, as the inheritance is to be divided among the heirs according to Islamic law, including the two mentally incapacitated brothers, who are under guardianship with a legal guardian. The inheritance includes all of the father's money and rights, rent from leased houses, and income generated from his wealth since his death, as well as the value of the house you live in. The sister must be enabled to receive her full share, and it is not permissible to withhold it from her or to bargain with her over it. If she willingly waives a part of it, there is no sin. Rights must be given fully to their rightful owners. It is preferable for wise individuals to intervene to resolve the dispute, and forgiveness and favor among relatives are more fitting.