[Machine] The Messenger of Allah ﷺ said, "Whoever is overwhelmed by vomiting, it is not obligatory for him to make up for missed prayers. And whoever intentionally vomits, he must make up for the missed prayers." This is an authentic hadith according to the condition of the two sheikhs (referring to Abu Bakr and Umar) and they did not exclude it.
قَالَ رَسُولُ اللَّهِ ﷺ «مَنْ ذَرَعَهُ الْقَيْءُ فَلَيْسَ عَلَيْهِ قَضَاءٌ وَمَنِ اسْتَقَاءَ فَلْيَقْضِ» صَحِيحٌ عَلَى شَرْطِ الشَّيْخَيْنِ وَلَمْ يُخَرِّجَاهُ