The problem with annihilationism, is that it is not really any "punishment" for the lost. if a person ceases to exist after they die, then how can this be "suffering", which is what the Bible, especially Jesus, says that will be for those who are lost. Further, why would Jesus tell Judas, that it is better that he was not even born (Matthew 26:41), if he was only going to be "annihilated" after he died? Why would Jesus says that we are to "fear" God, who could "destroy both body and soul in Gehenna"? (Matthew 10:28). Where ἀπόλλῡμι can hardly be used for annihilation, or anything that does not include "suffering", because Jesus says that this fate is to be "feared". In the context, anything less than "suffering" is not an option. Jesus also uses phrases like, "weeping and gnashing of teeth", in Matthew 13:42, "and throw them into the fiery furnace. In that place there will be weeping and gnashing of teeth". In Jude 7 we read, "Even as Sodom and Gomorrha, and the cities about them in like manner, giving themselves over to fornication, and going after strange flesh, are set forth for an example, suffering the vengeance of eternal fire". Which was written thousands of years after the destruction of Sodom and Gomorrha, and yet Jude says, "υπεχουσαι", which is the Greek verb in the present tense, "continue to suffer". These were clealy not "annihilated". Then we have in Revelation 19:20, "And the beast was taken, and with him the false prophet that wrought miracles before him, with which he deceived them that had received the mark of the beast, and them that worshipped his image. These both were cast alive into a lake of fire burning with brimstone". This is before the 1000 Year Reign. And, in chapter 20 we read, "And the devil that deceived them was cast into the lake of fire and brimstone, where the beast and the false prophet are, and shall be tormented day and night for ever and ever" (verse 10). Where the use of βασανισθησονται, which is in the plural number, shows that 1000 years later, when the Devil was cast into the Lake of Fire and Brimstone, both the beast and false prophet were still there! Again, "annihilation", cannot be used for this.