Malik bin Aws bin al-Hadathan an-Nasri narrated... and he mentioned the same hadeeth. He said:
Whilst we were sitting with him, his doorkeeper Yarfa" came to him and said to ‘Umar: Will you give permission to ‘Uthman, ‘Abdur-Rahman, Sa"d and az Zubair to come in? He said: Yes, let them in. So they came in and greeted him and sat down. Then after a while Yarfa" said to ʻUmar: Will you give permission to "Ali and ‘Abbas to enter? He said: Yes, let them in. When they came in, they sat down and Abbas said: O Ameer al-Mu"mineen, judge between me and "Ali (رضي الله عنه). The people, "Uthman and his companions, said: Judge between them and let them settle the matter. ‘Umar (رضي الله عنه) said: Wait a minute. I adjure you by Allah, by Whose leave heaven and earth exist, do you know that the Prophet (ﷺ) said: "We are not to be inherited from; what we leave behind is charity,” referring to himself? They said: He did say that. Then ‘Umar turned to "Ali and al-"Abbas and said: I adjure you by Allah, do you know that the Prophet (ﷺ) said that? They said: He did say that. ‘Umar said: I shall tell you about this matter: Allah, may He be glorified and exalted, bestowed this fai’ exclusively upon His Messenger. And Allah, may He be exalted, said: "And what Allah gave as booty (Fai") to His Messenger (Muhammad (ﷺ)) from them - for this you made no expedition with either cavalry or camelry. But Allah gives power to His Messengers over whomsoever He wills. And Allah is Able to do all things” [al-Hashr 59.6]. This verse was only for the Messenger of Allah (ﷺ). Moreover, by Allah, he did not keep it for himself and he did not prefer himself over you with regard to it. He gave it to you and distributed it among you until there was left of it this property. The Messenger of Allah (ﷺ) used to take the annual expenditure of his family from this property, then he would take whatever was left and regard it as wealth belonging to Allah. The Messenger of Allah (ﷺ) did that during his lifetime. I adjure you by Allah, do you know this? They said: Yes. He said to "Ali and "Abbas: I adjure you by Allah, do you know this? They said: Yes. Then the Messenger of Allah (ﷺ) died, and Abu Bakr said: I am the successor of the Messenger of Allah (ﷺ), so Abu Bakr took control of it and did the same with it as the Messenger of Allah (ﷺ) had done. And now you - and he turned to ‘Ali and "Abbas - are claiming that Abu Bakr did such and such, but Allah knows best that he was sincere, righteous and guided to the truth in the way he dealt with it.