question #3 Sahih Muslim 345, Book 3, Hadith 100 : What are the conditions under which bathing becomes obligatory in Islamic jurisprudence?

The Messenger of Allah (ﷺ) happened to pass by (the house) of a man amongst the Ansar, and he sent for him. He came out and water was trickling down from his head. Upon this he (the Holy Prophet) said: Perhaps we put you to haste. He said: Yes. Messenger of Allah. He (the Holy Prophet) said: When you made haste or semen is not emitted, bathing is not obligatory for you, but ablution is binding. Ibn Bashshir has narrated it with a minor alteration.