Proof is 2 Peter
2:1 But there were also false prophets among the people, just as there will be false teachers among you. They will secretly introduce destructive heresies, even denying the sovereign Lord who bought them--bringing swift destruction on themselves.....2:17 These men are springs without water and mists driven by a storm. Blackest darkness is reserved for them.
This passage says Jesus both bought them and that they are doomed.
Let's look at the verse again. I think you're misreading the pronouns...
"But there were also false prophets among the people, just as there will be false teachers among you. They will secretly introduce destructive heresies, even denying the sovereign Lord who bought them "
Who's them? "Them" are those who believe the truth of Christ risen, who are being lied to by the false teachers.
"Them" are not the false teachers because if their sins had been paid for, their sins would be blotted out and God would remember them no more.
It is not at all logical nor Scriptural when Christ Himself tells us He doesn't pray for all the world but only for those whom the Father has given Him. He makes this point over and over.
If Christ has paid for a man's sins, that man stands acquitted before God and nothing needs to occur to effectuate this. It is a fait accompli, according to the will and purpose of God.