Yes, the doctrine of Predetermined Reprobation is false.
Also, no-one is born Elect, but God foreknows who becomes His Elect, these having once:
- been dead in transgressions and sins
- walked according to the course of this world
- walked according to the prince of the power of the air
- been children of disobedience with the spirit of Satan working in them
- lived in the lusts of the flesh
- done what the flesh and the mind desired
- been by nature children of wrath
Eph 2:1-3 You were made alive when you were dead in transgressions and sins, (2) in which you once walked according to the course of this world, according to the prince of the power of the air, the spirit who now works in the children of disobedience; (3) among whom we also all once lived in the lusts of our flesh, doing the desires of the flesh and of the mind, and were by nature children of wrath, even as the rest.
There is a clear path of logic and reasoning that links Adam and Eve's eating forbidden fruit to their guilt for doing so, otherwise any penalty for their doing so would be unjust. The penalising of Adam and Eve's act of disobedience proves and reinforces God's provision of freewill and self-volition in His human Creation.
Satan and his cohort, Adam and Eve in Eden, Cain, Esau, Pharaoh opposing Moses in Egypt, Judas, Ananias and Saphira, and anyone who stubbornly resists the grace of God do all become subject to predetermined consequences, but their urge to sin doesn't come from God.
I agree Predetermined Reprobation is false, but so is your idea God "foreknows who becomes His Elect." You confuse saving faith which happens in linear time with an Act God did before He created anything:
4 just as He chose us in Him before the foundation of the world, that we should be holy and without blame before Him in love,
5 having predestined us to adoption as sons by Jesus Christ to Himself, according to the good pleasure of His will,
6 to the praise of the glory of His grace, by which He has made us accepted in the Beloved.
7 In Him we have redemption through His blood, the forgiveness of sins, according to the riches of His grace
(Eph. 1:4-7 NKJ)
As JLB said "People are saved when they believe" in the only name under the heavens whereby men are saved, but they were elected before they did anything good or bad:
12 "Nor is there salvation in any other, for there is no other name under heaven given among men by which we must be saved." (Acts 4:12 NKJ)
11 (for
the children not yet being born, nor having done any good or evil, that the purpose of God according to election might stand, not of works but of Him who calls),
12 it was said to her, "The older shall serve the younger."
13 As it is written, "Jacob I have loved, but Esau I have hated."
14 What shall we say then?
Is there unrighteousness with God? Certainly not!
15 For He says to Moses, "I will have mercy on whomever I will have mercy, and I will have compassion on whomever I will have compassion."
16 So then
it is not of him who wills, nor of him who runs, but of God who shows mercy.
17 For the Scripture says to Pharaoh, "For this very purpose I have raised you up, that I may show My power in you, and that My name may be declared in all the earth."
18 Therefore He has mercy on whom He wills, and whom He wills He hardens. (Rom. 9:11-18 NKJ)
Being saved happens in time through faith, being elected happened before Time existed.