By the beginning of the Classical Age in Greece, the major lines of descent are identified (by Pausanius) as being from Neleus and Perseus. Neleus, defined by Graves as "ruthless" is indicative of the Sethian House of Neby from which the 19th Dynasty emerged. His leading true son Ramose/Sety corresponds well to the Greek Zethos, a brother in arms of Amphion against King Laius.
For a short time, the male line of Perseus, that is Thutmose IV, usurped the title of Great King from that of the Neleids. This was accomplished by Osorkon III and his son Takelot III/Shabaka (Biblical Ahaz III). It was however reclaimed by the two sons of Mentuemhet, namely Nes-Ptah II (Cyrus II) and Osorkon V (Darius). Cyrus and Darius, although from the biological line of Neleus claimed their right as Great Kings by way of inheritance from Osorkon III (a.k.a. Achaemenes the Persian).
In essence, there was only one surviving male line, that of the Neleids. However, these Neleids were separated into two groups, those who claimed title and status as Great Kings, and those that could not. This distinction would ultimately lead to war, as those Neleids claiming the throne of Perseus (and of Persia) tried to secure the submission of their cousins who held lesser kingships in Egypt and especially Greece.
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