How is the division of inheritance determined when there are conflicting claims based on acknowledgment (Iqrar) and denial (Inkar)?

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When a conflict arises between an acknowledgment (Iqrar) and a denial (Inkar) regarding an inheritance claim, the amounts due in the issue of acknowledgment are multiplied by the amounts due in the issue of denial, and vice versa. The resulting common factor between these two products constitutes the excess amount (Al-Fadl) belonging to the acknowledged party. If there is no excess amount remaining in the hands of the acknowledging party after accounting for the denial scenario, the acknowledged party receives nothing. This principle applies when an uterine brother acknowledges another uterine sibling; the acknowledged party receives nothing because the claim involves someone whose share is contingent upon others.