The Messenger of Allah ﷺ took (the meat of) a (goat's) shoulder and offered prayer and did not perform ablution.  

أَنَّ رَسُولَ اللَّهِ ﷺ أَكَلَ كَتِفَ شَاةٍ ثُمَّ صَلَّى وَلَمْ يَتَوَضَّأْ  

One night I became the guest of the Prophet ﷺ. He ordered that a piece of mutton be roasted, and it was roasted. He then took a knife and began to cut the meat with it for me. In the meantime Bilal came and called him for prayer. He threw the knife and said: What happened! may his hands be smeared with earth! He then stood for offering prayer. Al-Anbari added: My moustaches became lengthy. He trimmed them by placing a took-stick; or he said: I shall trim your moustaches by placing the tooth-stick there. Al-Anbari said: My moustaches became lengthy. He trimmed them by placing a tooth-stick ; or he said: I shall trim your moustaches by placing the tooth-stick there.  

ضِفْتُ النَّبِيَّ ﷺ ذَاتَ لَيْلَةٍ فَأَمَرَ بِجَنْبٍ فَشُوِيَ وَأَخَذَ الشَّفْرَةَ فَجَعَلَ يَحُزُّ لِي بِهَا مِنْهُ قَالَ فَجَاءَ بِلاَلٌ فَآذَنَهُ بِالصَّلاَةِ قَالَ فَأَلْقَى الشَّفْرَةَ وَقَالَ مَا لَهُ تَرِبَتْ يَدَاهُ وَقَامَ يُصَلِّي زَادَ الأَنْبَارِيُّ وَكَانَ شَارِبِي وَفَى فَقَصَّهُ لِي عَلَى سِوَاكٍ أَوْ قَالَ أَقُصُّهُ لَكَ عَلَى سِوَاكٍ  

The Messenger of Allah ﷺ took a shoulder (of goat's meat) and after wiping his hand with a cloth on which he was sitting, he got up and prayed.  

أَكَلَ رَسُولُ اللَّهِ ﷺ كَتِفًا ثُمَّ مَسَحَ يَدَهُ بِمِسْحٍ كَانَ تَحْتَهُ ثُمَّ قَامَ فَصَلَّى  

The Prophet ﷺ ate a little meat from a (goat's) shoulder. He then offered prayer and did not perform ablution.  

أَنَّ رَسُولَ اللَّهِ ﷺ انْتَهَشَ مِنْ كَتِفٍ ثُمَّ صَلَّى وَلَمْ يَتَوَضَّأْ  

I heard Jabir b. 'Abd Allah say: I presented bread and meat to the Prophet ﷺ. He ate them and called for ablution water. he performed ablution and offered the noon (Dhuhr) prayer. He then called for the remaining food and ate it. He then got up and prayed and did not perform ablution.  

سَمِعْتُ جَابِرَ بْنَ عَبْدِ اللَّهِ يَقُولُ قَرَّبْتُ لِلنَّبِيِّ ﷺ خُبْزًا وَلَحْمًا فَأَكَلَ ثُمَّ دَعَا بِوَضُوءٍ فَتَوَضَّأَ بِهِ ثُمَّ صَلَّى الظُّهْرَ ثُمَّ دَعَا بِفَضْلِ طَعَامِهِ فَأَكَلَ ثُمَّ قَامَ إِلَى الصَّلاَةِ وَلَمْ يَتَوَضَّأْ  

The last practice of the Messenger of Allah ﷺ was that he did not perform ablution after taking anything that was cooked with the help of fire. Abu Dawud said: This is the abridgment of the former tradition.  

كَانَ آخِرُ الأَمْرَيْنِ مِنْ رَسُولِ اللَّهِ ﷺ تَرْكَ الْوُضُوءِ مِمَّا غَيَّرَتِ النَّارُ  

One of the Companions of the Prophet (may peace be upon), came upon us in Egypt. When he was narrating traditions in the Mosque of Egypt, I heard him say: I was the seventh or the sixth person in the company of the Messenger of Allah ( peace be upon him) in the house of a person. In the meantime Bilal came and called him for prayer. He came out and passed by a person who had his fire-pan on the fire. The Messenger of Allah ﷺ said to him: Has the food in the fire-pan been cooked? He replied: Yes, my parents be sacrificed upon you. He then took a piece out of it and continued to chew it until he uttered the first takbir (AllahuAkbar) of the prayer. All this time I was looking at him.  

قَدِمَ عَلَيْنَا مِصْرَ عَبْدُ اللَّهِ بْنُ الْحَارِثِ بْنِ جَزْءٍ مِنْ أَصْحَابِ النَّبِيِّ ﷺ فَسَمِعْتُهُ يُحَدِّثُ فِي مَسْجِدِ مِصْرَ قَالَ لَقَدْ رَأَيْتُنِي سَابِعَ سَبْعَةٍ أَوْ سَادِسَ سِتَّةٍ مَعَ رَسُولِ اللَّهِ ﷺ فِي دَارِ رَجُلٍ فَمَرَّ بِلاَلٌ فَنَادَاهُ بِالصَّلاَةِ فَخَرَجْنَا فَمَرَرْنَا بِرَجُلٍ وَبُرْمَتُهُ عَلَى النَّارِ فَقَالَ لَهُ رَسُولُ اللَّهِ ﷺ أَطَابَتْ بُرْمَتُكَ قَالَ نَعَمْ بِأَبِي أَنْتَ وَأُمِّي فَتَنَاوَلَ مِنْهَا بَضْعَةً فَلَمْ يَزَلْ يَعْلِكُهَا حَتَّى أَحْرَمَ بِالصَّلاَةِ وَأَنَا أَنْظُرُ إِلَيْهِ