Yahya related to me from Malik from Ibn Shihab that Ali ibn Husayn ibn Ali ibn Abi Talib told him that Aqil and Talib inherited from Abu Talib, and Ali did not inheritfrom him. Ali said, "Because of that, we have given up our portion of ash Shab." (A house belonging to Banu Hashim).

وَحَدَّثَنِي عَنْ مَالِكٍ، عَنِ ابْنِ شِهَابٍ، عَنْ عَلِيِّ بْنِ حُسَيْنِ بْنِ عَلِيِّ بْنِ أَبِي طَالِبٍ، أَنَّهُ أَخْبَرَهُ إِنَّمَا، وَرِثَ أَبَا طَالِبٍ عَقِيلٌ وَطَالِبٌ وَلَمْ يَرِثْهُ عَلِيٌّ - قَالَ - فَلِذَلِكَ تَرَكْنَا نَصِيبَنَا مِنَ الشِّعْبِ ‏.‏
USC-MSA web (English) reference : Book 27, Hadith 11
Arabic reference : Book 27, Hadith 1087