Proving that god exists is the same as proving that elves and wizards exist. The absence of details NOW doesnt mean that they do exist. Back then people believed tornados and other natural forces were gods punishment until they could be explained. Until the DNA code was cracked, creating another life was accomplishable only by god.
In order for a code to be "cracked", that code has to be....DEVELOPED. And, for that to happen, someone had to develop it, period. Explaining the mechanics does not take into account HOW those mechanics got there and why those mechanics are ordered in such fashion. In spite of your claim (as is often misstated by way too many non-believers), Christians do not suggest that the existence of God is based on an absence of details.
Even with the DNA code cracked, man STILL cannot create life. He cannot produce the raw materials, nor can he give those materials what it takes to make a living being. All man can do is manipulate God's ALREADY-EXISTING materials, using God's ALREADY-EXISTING laws of nature.
Science is missing certain details but that does not mean it will remain unclear in the future. As science advances more questions will be answered. All the jigsaw puzzles will hae more pieces falling into place. Christians and other religions will end up with fewer places to be obscure and play their smoke and mirrors games.
Good riddance to bad rubbish.
Again, your analogy betrays your point. A jigsaw puzzle is comprised of pieces DELIBERATELY cut and segregated by someone, in order for someone else to ponder and piece together. Puzzles don't make themselves; nor do they solve themselves.
Plus, no matter how many questions that "science" supposedly answers, eventually, it all comes back to one simple basic question, which plagues skeptics and atheists to this day: HOW DID LIFE BEGIN?