Is ghusl required if wetness is found upon waking for Fajr after intercourse at night, with doubt as to whether it is a nocturnal emission or remnants of intercourse, and is a nocturnal emission from Satan?

Firstly: If someone takes a ghusl (ritual bath) after a wet dream or intercourse, and then something exits their body after the ghusl without desire, they are not obligated to repeat the ghusl. However, if new semen is discharged due to a new desire, then ghusl is obligatory again.

Secondly: If someone wakes up and finds wetness and is certain that it is semen, ghusl is obligatory, whether they recall a wet dream or not. If the semen is due to previous intercourse before sleep, then a second ghusl is not obligatory. However, if it results from a new desire after the first ghusl, then ghusl is obligatory a second time. If there is doubt, ghusl is not obligatory. The discharge of semen after ghusl does not necessitate repeating the ghusl; rather, only ablution (wudu') is required. Repeating the ghusl becomes obligatory if a wet dream occurs after the ghusl, or if one strongly suspects that it has occurred.

Thirdly: A wet dream might be due to the mischief of Shaytan (Satan), or it might be due to the expulsion of excess semen from the body because of an illness, cold, or overwhelming desire. A person is not held accountable for it as long as they did not engage in a prohibited cause. The narration attributed to Ibn Abbas: "No Prophet ever had a wet dream; wet dreams are only from Shaytan," is very weak.