In one of his letters on the importance of Systematic Divinity, Andrew Fuller deals with the seeming inconsistency between Divine predestination and human responsibility. He points out the difference between the reasoning of the fleshly mind versus the Christian.
A fleshly mind may ask, “How can these things be?” How can Divine predestination accord with human agency and accountableness? But a truly humble Christian, finding both in his Bible, will believe both, though he may be unable fully to understand their consistency; and he will find in the one a motive to depend entirely on God, and in the other a caution against slothfulness and presumptuous neglect of duty. And thus a Christian minister, if he view the doctrine in its proper connexions, will find nothing in it to hinder the free use of warnings, invitations, and persuasions, either to the converted or the unconverted. Yet he will not ground his hopes of success on the pliability of the human mind, but on the promised grace of God, who (while he prophesies to the dry bones, as he is commanded) is known to inspire them with the breath of life. - Andrew Fuller
Charles H. Spurgeon understood that just because our minds cannot get a grip on the harmony of truth it does not mean that they are simply contradictory. He sees God predestinating and the responsibility of man as harmonious. He writes in his autobiography:
“That God predestines, and yet that man is responsible, are two facts that few can see clearly. They are believed to be inconsistent and contradictory, but they are not. The fault is in our weak judgment. Two truths cannot be contradictory to each other. If, then, I find taught in one part of the Bible that everything is fore-ordained, that is true; and I find that in another Scripture, that man is responsible for all his actions, that is true; and it is only my folly that leads me to imagine that these two truths can ever contradict each other. I do not believe they can ever be welded into one upon any earthly anvil, but they certainly shall be one in eternity. They are two lines that so nearly parallel, that the human mind which pursues them farthest will never discover that they converge, but they do converge, and they will meet somewhere in eternity, close to the throne of God, whence all truth doth spring.” (C.H. Spurgeon Autobiography: Volume 1: The Early Years; Banner of Truth; page 174)