The purpose of writing this essay is to defend the Christian Reformed Faith. I do not believe the Arminian view of Christ dying for every single individual in the world is correct. Atonement is what Christ accomplished on the cross by shedding His blood. Efficacious means completely effective. The non-elect are non-Christians who will never be saved. The elect includes Christians who are saved and non-Christians who will be saved in the future.
We know that we have nothing to boast to God. Should we boast our free will to choose God? Absolutely not! We have nothing to boast including our free will. (1 Corinthians 1:27-31) However, did Christ forgive and die for all of our sins? The answer is, "Yes." 1 John 1:7 says, "...the blood of Jesus his Son cleanses us from ALL sin." Thus, Christ died for all of our sins including our unbelief and our doubts about Christ. Did Christ forgive and die for the unbelief of the non-elect? The answer is, "no" or else the non-elect will become Christians. Matthew 22:14 says:
If Christ died for the non-elects unbelief, then everyone in the world will go to heaven. Matthew 22:14 clearly shows only the few enter heaven. It is also obvious that Christ did not die for everyone when Romans 5:9 says, "...we are now justified (saved) by his blood..." If the non-elect received Christs atonement, then they are justified or saved by His blood.