Right, given the Anthropic principle the probability has to be nontrivial when multiplied by all the oceans and the lifetime of the planet, but also by billions

Right, given the Anthropic principle the probability has to be nontrivial when multiplied by all the oceans and the lifetime of the planet, but also by billions of planets and billions of galaxies. So there may be no way of ruling it out by any experiment. All you can do is build bigger vats, just like physicists build bigger supercolliders, hoping for a result.