Proof? That is not proof...it is uniformed reasoning based on ignorance of who and what God is, and what he is accomplishing by his permission of evil in this world. It is clear that you have no idea.....but is that ignorance by choice? Do you really want to know, or are you just happy to throw God under the bus because he doesn't act the way you think he should?
God is not an equation.....God is the Creator of all things, who knows everything there is to know about everything in existence. He created it all. He has the ability to transcend time to foresee the outcome of all eventualities and decisions. He can then decide which course to take for the long term benefit of all.
He is Omnipotent...all powerful....but his power is always controlled by his other cardinal attributes.....Justice, Wisdom and Love, which means that he can use his unlimited power in a limited way when he has to.
He is Omniscient...he knows everything he wants to know. But just because he can know everything, doesn't mean he has to act on what he knows. His Love, Justice, Wisdom and Power dictate his actions at all times. He knows when to act and when to step back.
You also leave out a very important element.....God is an educator. He gave his intelligent creatures free will and allowed them to exercise it. He did not prevent them from abusing it, but simply placed disobedience as a capital offense worthy of death. They knew that obedience meant continued life and that disobedience meant a death sentence. God was teaching them valuable lessons that would benefit them for eternity if they chose wisely....and even if they didn't.
God had a purpose in putting intelligent life on this carefully prepared planet.....it may have been the first steps in populating a universe so vast that humans cannot even calculate its magnitude. We do not know what God's overall purpose for the universe is, but we do know why he put us here on this planet and what he commanded the first humans to do. He assigned them as caretakers, equipped with sufficient intelligence and moral attributes to act as his representative here. But free will was in that mix and it too was designed to facilitate actions when the need arose to handle things as God would handle them himself. But free will was to be exercised only within the parameters set by God. Free will was never really "free", but when exercised as God commanded, it would be a wonderful asset in the management of this earth with its creatures and with fellow humans.
But things took a turn away from what God originally purposed....soon after the creation of humankind, the Bible tells us that another free willed creature hijacked the human race and lured them into choosing him as their god and ruler.
God had two choices (as far as I can see).....he could have foreseen the consequences and acted to put the rebels to death straight away, saving mankind from all the trauma and tragedy that he knew would come....but what would that have proven? Only that God is more powerful...it would not have addressed the lies that satan told and the accusations he made about God's motives....the devil never once challenged God's power.....he challenged his sovereign right to set appropriate limits for his free willed creatures. Eliminating the rebels would not answer those challenges...so God decided to allow the humans to reap the full consequences of what they had sown, largely without his interference. He would never leave them but instead he would guide them to do the right thing.....but never forcing it. Our obedience had to come from the heart.
God chose to use this rebellion as a learning curve for all of his intelligent creation, both in heaven and on earth. He gave the new, self-appointed god a free hand to prove himself to be the better choice for ruler of mankind. We have been living through that period since creation so that all humans can experience what its like to have satan as their god, ruling over this earth through his appointees. At the end of this period....(I believe that what we are seeing right now is proof that we are nearing the end of the present system of things) God will step in and rectify all the damage that the devil has wrought on this world and his activities have all been recorded so that no one in the future will ever be able to raise those issues again. The precedents are now set and humankind have to face what is for them an uncertain future.....it is not uncertain for those who know God and who are doing his will amid the madness.
This is crunch time....decisions have to be made before God brings the curtain down on this satanic world. We are either on his side...or we are not. We get to choose our own destiny.