I don't know much about this topic. But I don't think there are any experiments validating abiogenesis. I think one of the issues is that because microbial life is everywhere where there are nutrients it is difficult to produce a suitable experiment environment.
I suppose these cellular automata models (like game of life) are not so useful in validating abiogenesis since chemical processes might be more relevant for abiogenesis as opposed to the simple interactions of cellular automata.