Does one who experiences a wet dream, sleeps through the prayer time, then wakes up, performs ghusl, and prays, commit a sin?

If someone sleeps before the prayer time enters until its time expires, there is no sin upon him. However, sleeping after the time has entered is not permissible except for one who knows or believes that he will wake up before the time expires. This is supported by the hadith of the woman who criticized her husband for sleeping until the sun rose, whereupon the Prophet, peace and blessings be upon him, said: "When you wake up, pray." There is no sin upon one who sleeps before the time, even if he knows that the entire time will be consumed, but after the time has entered, it is not permissible if he believes he will sleep through the entire time.