Sunan an-Nasa'i, Volume 3, Book 24, Hadith 2982 (DarusSalam) ⓘ
It was narrated that Ibn Abbas said: "The Prophet walked rapidly betwwne As-Safa and Al-Marwah to show the idolaters that he was strong."
أَخْبَرَنَا أَبُو عَمَّارٍ الْحُسَيْنُ بْنُ حُرَيْثٍ، قَالَ أَنْبَأَنَا سُفْيَانُ، عَنْ عَمْرٍو، عَنْ عَطَاءٍ، عَنِ ابْنِ عَبَّاسٍ، قَالَ إِنَّمَا سَعَى النَّبِيُّ صلى الله عليه وسلم بَيْنَ الصَّفَا وَالْمَرْوَةِ لِيُرِيَ الْمُشْرِكِينَ قُوَّتَهُ .
also referenced under: Hadith 2979 (Reference) & Book 24, Hadith 0 (In-Book)