I was with Allah's Apostle (ﷺ) on the Day of Hunain. The rest of the hadith is the same but with this variation that the hadith transmitted by Yonus and Ma'mar is more detailed and complete.
Sahih Muslim Book 32, Hadith 96
← Previous Hadith " By the Lord of the Ka'ba, they have been defeated." And there is at the end the addition of the words:" Until Allah defeated them" (and I imagine) as if I saw the Prophet of Allah (ﷺ) chasing them on his mule.

Sahih Muslim Book 32, Hadith 95 Next Hadith → A man asked Bara' (b. 'Azib): Did you run away on the Day of Hunain. O, Abu Umira? He said: No, by Allah, The Messenger of Allah (ﷺ) did not turn his back; (what actually happened was that) some young men from among his companions, who were hasty and who were either without any arms or did not have abundant arms, advanced and met a party of archers (who were so good shots) that their arrows never missed the mark. This party (of archers) belonged to Banu Hawazin and Banu Nadir. They shot at the advancing young men and their arrows were not likely to miss their targets. So these young men turned to the Messenger of Allah (ﷺ) while he was riding on his white mule and Abu Sufyan b. al-Harith b. 'Abd al-Muttalib was leading him. (At this) he got down from his mule, invoked God's help, and called out: I am the Prophet. This is no untruth. I am the son of 'Abd al-Muttalib. Then he deployed his men into battle array.

Sahih Muslim Book 32, Hadith 97