The phrase "obvious fallacy" refers to a clear mistake in reasoning or a false statement that is easy to recognize. It means that something is obviously wrong or illogical. Full definition
It is the most obvious fallacy in the world, and the only wonder is that all the world should not see through it. (religion-online.org)
Actually fallacy, not, but you make the obvious fallacy of attempting to impute implication of strict Bayesian constraints on what should have been obviously an intentional exaggeration to make a point. (religion.blogs.cnn.com)
Beyond the obvious fallacies in Genesis, the first book of the Bible, everything else is open to interpretation by those who need it to say whatever they're supporting. (religion.blogs.cnn.com)