It was narrated from Umm Salamah that the Messenger of Allah ﷺ at (meat from) a shoulder, then Bilal came to him and he went out to pray, and he did not touch water. (Using translation from Nasāʾī 182)  

أَنَّ رَسُولَ اللهِ ﷺ «أَكَلَ كَتِفًا فَجَاءَهُ بِلَالٌ فَخَرَجَ إِلَى الصَّلَاةِ وَلَمْ يَمَسَّ مَاءً»  

"I entered upon Umm Salamah and she told me that the Messenger of Allah ﷺ used to wake up in a state of Janabah without having had a wet dream, then he would fast." And she told him that she brought the Prophet ﷺ some grilled ribs and he ate from that, then he got up and prayed, and did not perform Wudu'. (Using translation from Nasāʾī 183)  

أَنَّ رَسُولَ اللهِ ﷺ كَانَ يُصْبِحُ جُنُبًا مِنْ غَيْرِ احْتِلَامٍ ثُمَّ يَصُومُ وَحَدَّثَنَا مَعَ هَذَا الْحَدِيثِ أَنَّهَا حَدَّثَتْهُ أَنَّهَا قَرَّبَتْ إِلَى رَسُولِ اللهِ ﷺ جَنْبًا مَشْوِيًّا فَأَكَلَ مِنْهُ ثُمَّ قَامَ إِلَى الصَّلَاةِ وَلَمْ يَتَوَضَّأْ  

It was reported that Ibn 'Abbas said "I witnessed (that) the Messenger of Allah ﷺ ate bread and meat, then stood for prayer and did not perform ablution. " (Using translation from Nasāʾī 184)  

شَهِدْتُ رَسُولَ اللهِ ﷺ «أَكَلَ خُبْزًا وَلَحْمًا ثُمَّ قَامَ إِلَى الصَّلَاةِ وَلَمْ يَتَوَضَّأْ»  

It was reported that Jabir (ra) said "That last of the two matters from the Messenger ofAllah ﷺ was leaving off ablution from that which had been touched by fire." (Using translation from Nasāʾī 185)  

كَانَ آخِرُ الْأَمْرَيْنِ مِنْ رَسُولِ اللهِ ﷺ «تَرْكَ الْوُضُوءِ مِمَّا مَسَّتِ النَّارُ»