You are misrepresenting Arminianism (although I am not an Arminian). Now please note carefully from the Five Articles of the Remonstrants, that you have misrepresented them:
FREE WILL
'That man does not posses saving grace of himself, nor of the energy of his free will, inasmuch as in his state of apostasy and sin he can of and by himself neither think, will, nor do any thing that is truly good (such as saving Faith eminently is); but that it is necessary that he be born again of God in Christ, through his Holy Spirit, and renewed in understanding, inclination, and will, and all his faculties, in order that he may rightly understand, think, will, and effect what is truly good, according to the Word of Christ, John 15:5, “Without me you can do nothing.” '
"GOD WITHOUT POWER, GOD WITHOUT KNOWLEDGE"
That God, by an eternal and unchangeable purpose in Jesus Christ his Son before the foundation of the world, has determined that out of the fallen, sinful race of men, to save in Christ, for Christ’s sake, and through Christ, those who through the grace of the Holy Spirit shall believe on this his son Jesus, and shall persevere in this faith and obedience of faith, through this grace, even to the end; and, on the other hand, to leave the incorrigible and unbelieving in sin and under wrath and to condemn them as alienated from Christ, according to the word of the Gospel in John 3:36: “He that believes on the Son has everlasting life: and he that does not believe the Son shall not see life; but the wrath of God abides on him,” and according to other passages of Scripture also.
Arminians rightly rejected Limited Atonement and Irresistible Grace. On the other hand they were not totally convinced of the eternal security of the believer as seen here:
'...But whether they are capable, through negligence, of forsaking again the first beginning of their life in Christ, of again returning to this present evil world, of turning away from the holy doctrine which was delivered them, of losing a good conscience, of neglecting grace, that must be more particularly determined out of the Holy Scripture, before we ourselves can teach it with the full confidence of our mind. '