You keep saying that. I, for one, believe that life could not have existed 13.7 billion years ago, and I believe that life does exist now. So yes, life must arise from things that are not alive.
Look at living things. Plants. They take in sunlight, water, and minerals (all non-living things) and use them to live. We take dead things in to keep our lives going. We also know that organic molecules can form without life. We know that phospholipids can form without life. The only thing stopping a primordial prokaryotic cell from forming is time. Time + organic molecules + steady input of energy = life, eventually.