The classic "non-TULIP" position is John 3:16 with emphasis on "the world" (everyone) and "whosoever believes" (anyone that chooses). Who had more reason to be "whosoever" than Adam, Eve and Cain? But what actually happened. They chose to hide from God rather than run to God with their sin ... God drew them to Himself to confront the sin. They hid or denied the sin rather than confess the sin ... God had to confront them with the fact of their sin. They did not repent of their sin, but doubled down with more sins (Adam blamed God and Cain lied). They chose to ignore both command and warning directly from the lips of God. They were no more capable of doing the right thing without the irresistable draw of God to compel them than we are.
If THEY didn't choose to be "whosoever" by their own choice, then what makes you think that we will do better than Adam and Eve? Were your parents better at training you up than God?
That is where John 6:44 and Ephesians 2:1-10 fit in and start to make a LOT of sense. We WON'T, so God MUST!
Many are CALLED, but few are CHOSEN! (Mat 22:14)
You want more proof.
Rev 22:17 And the Spirit and the Bride say, Come; and he who is hearing—let him say, Come; and he who is thirsting—let him come; and he who is
willing—let him take the water of life freely..
Act 16:30 and having brought them forth, said, 'Sirs, what must I do—that I may be saved?'
Act 16:31 and they said,
'Believe on the Lord Jesus Christ, and thou shalt be saved—thou and thy house;'
Rom 10:9 that if thou mayest confess with thy mouth the Lord Jesus, and mayest believe in thy heart that God did raise him out of the dead, thou shalt be saved,
Rom 10:10 for with the heart doth one believe to righteousness, and with the mouth is confession made to salvation;
Rom 10:11 for the Writing saith, 'Every one who is believing on him shall not be ashamed,'
Rom 10:12 for there is no difference between Jew and Greek, for the same Lord of all is rich to all those calling upon Him,
Rom 10:13 for every one—whoever shall call upon the name of the Lord, he shall be saved.'
Joh 8:12 Again, therefore, Jesus spake to them, saying, 'I am the light of the world; he who is following me shall not walk in the darkness, but he shall have the light of the life.'
Joh 6:40 And this is the will of him that sent me, that every one which seeth the Son, and believeth on him, may have everlasting life: and I will raise him up at the last day.
Would you like more proof? The Bible is full of willing believers.
For instance The woman at Simon the pharisee's house Who shed tears on the feet of Jesus and dried them with her hair.
Christ said to her in Like 7:40
Luk 7:50 And he said to the woman, Thy faith hath saved thee; go in peace.
May god give you the wisdom to understand the scriptures.
MB