[Stop Legal Plunder]

I fail to understand your demand for observation of matter becoming 'alive all by itself', as that has nothing to do with evolution.

It has everything to do with evolution. One of the biggest gaps in evolutionary theory and in the fossil record is the gap between non-life and life. Inherent in evolution is the speculation that at some point that which was non-life became life. As that violates the law of biogenesis, not to mention common sense, it's very reasonable, indeed vital, to require solid evidence before believing it.

[Doctor Stochastic]

You should note that evolutionary theory does not address the beginnings of life at all. Evolutionary theory addresses changes in aggregate populations. There are investigations into the origins of life, but these are not part of evolutionary theory. Neither is cosmology nor accounting.

[Dimensio]

Inherent in evolution is the speculation that at some point that which was non-life became life.

Evolution only occurs when life is present. As such, whenever life ultimately originated where there was none before is outside of the scope of evolution. Therefore, 'that at some point that which was non-life became life' is not 'inherent in evolution'. Of course, you made this really funny comment:

One of the biggest gaps in evolutionary theory and in the fossil record is the gap between non-life and life.

Current speculation is that the earliest life forms were single-celled organisms. As such, if there was an event at which that which was non-life became life, there would hardly be any evidence in the 'fossil record'.