This hadith has been narrated on the authority of Sulaiman Taimi with the same chain of transmitters and in his narration (he) refers to Mu'awiya.
Sahih Muslim Book 15, Hadith 179
← Previous Hadith I asked Sa'd b. Abu Waqqas (Allah be pleased with him) about Mut'a, whereupon he said: We did that, and it was the day when he was an unbeliever living in (one of the) houses of Mecca.

Sahih Muslim Book 15, Hadith 178 Next Hadith → This hadith has been transmitted on the authority of Sulaiman (but with a slight modification of words).

Sahih Muslim Book 15, Hadith 180