If you "present yourself to be saved" than you are one of the Elect chosen by God before the foundation of the world.
His purpose and grace was established in us before the world began. His Omniscience, Omnipotence, and the act of Creation argue for nothing less.
He tells us that whosoever comes to Him He will "in no wise cast out." I believe that with all my heart. All those who do come are of the Elect and they come because they have been sought out by God and were lovingly drawn by Him (Lk 15:3-6; Jn 6:44). No one who comes to Christ comes by a different way.
Those who do not come to Christ are not of the Elect. They have been left by God to collect the wages they have rightly earned. Don't mistake me, the Elect had also earned the same wages but God in His Grace saved us from what was rightfully our due.