"While we were with the Messenger of Allah, a man came to him from Yemen and started telling him (about an incident) while 'Ali was still in Yemen. He said: 'O Messenger of Allah, three men were brought to 'Ali who were disputing about a child, and they all had intercourse with a woman during a single menstrual cycle.'" And he quoted the same Hadith.
Sunan an-Nasa'i Book 27, Hadith 101
← Previous Hadith "Three men were brought to 'Ali while he was in Yemen; they all had intercourse with a woman during a single menstrual cycle. He asked two of them: 'Do you affirm that this child belongs to (the third man)?' And they said: 'No.' He asked another two of them: 'Do you affirm that this child belongs to (the third man)?' And they said: 'No.' So he cast lots between them, and attributed the child to the one whom the lot fell, and obliged him to pay two-thirds of the Diyah. The Prophet was told of this, and he laughed so much that his back teeth became visible."

Sunan an-Nasa'i Book 27, Hadith 100 Next Hadith → "I was with the Messenger of Allah, and 'Ali, may Allah be pleased with him, was in Yemen at that time. A man came to him and said: 'I saw 'Ali when three men were brought to him who all claimed (to be the father) of a child. 'Ali said to one of them: Will you give the child up to him? And he refused. He said to (the next one): Will you give the child up to him? And he refused. He said to (the next one): Will you give the child up to him? And he refused. 'Ali said: You are disputing partners. I will cast lots among you, and whoever wins the draw, the child is for him, and he has to pay two-thirds of the Diyah.' The Messenger of Allah laughed so much that his back teeth became visible."

Sunan an-Nasa'i Book 27, Hadith 102