Sekhemre-Heruhirmaat Intef different from Nubkheperre Intef
... the nomen and prenomen of Antef N[ubkheperre] together with the unfortunately almost lost prenomen of another king. The prenomina of both kings are given the epithet di-ˁnḫ and since this was normally used only for the ruling king, it may be inferred that these kings co-reigned." 
Ryholt observes that the length of the damaged cartouche would fit well with the long prenomen of Sekhemre-Heruhirmaat.
Ryholt suggested that Sekhemre-Heruhirmaat Intef died prematurely and was buried in a royal coffin that initially belonged to Nubkheperre Intef; hence, Sekhemre-Heruhirmaat Intef did not enjoy an independent reign of his own. The British Egyptologist Aidan Dodson, however, criticises Ryholt's proposal that Sekhemre-Heruhirmaat Intef died during the reign of his predecessor and was buried in Sekhemre-Wepmaat Intef's original royal coffin. Dodson observes that the form of the name Intef written here (which was originally similar to that used to designate Nubkheperre Intef before it was amended for Sekhemre-Heruhirmaat Intef) and the added king's prenomen of Sekhemre-Heruhirmaat on this king's coffin was composed in an entirely different hand from the remaining texts on the coffin. Dodson also stresses that