I have to disagree with that.
First of all, there's no such thing as First Law of Biology.
Second, Miller didn't fail.
The following in quotations I'm reading from a source as basic as the Wikipedia, where it clearly showed results:
"At the end of the week when they gathered the results, they found seven “spots” in the glass unit. The men easily identified three of the seven spots as glycine, the same as found in the previous trial, alpha-alanine, and beta alanine. Two of the others were identified as a-amino-n-butyric acid and a crystalline amino acid known as aspartic acid."
Some critics thought the aminoacids could have been created by already existing bacteria from any time the glass had been in contact with the atmosphere, so Miller made a second experiment:
"He did this be redoing the experiment. This time he heated the artificial atmosphere inside his specially designed glass unit long enough so that no bacteria could have possibly survived. It would have only taken about fifteen minutes for the heat to kill all of the bacteria that might have been in the unit but to be sure, Miller decided to leave it heated for eighteen hours. After Miller repeated the experiment, heating the unit in order to kill any bacteria that might have been present in the artificial atmosphere, he and several other scientists who had also repeated the same experiment, all got similar results."
There is one problem by which Miller's results prove nothing in the creation of Earth:
The components he used in creating this "replica" of the old Earth's atmosphere were arbitrary.
There was nothing in his times to prove that the Earth's atmosphere was the same as the atmosphere in his experiments, and by our contemporary times we know that Earth's atmosphere wasn't like that of his experiment.
This makes Miller's explanation of the origin of life on Earth obsolete, but he has proven that, given the right circumstances, life comes from non-life without any outside help.