The argument put at the Dover trial for ID was the purported existence of "irreducible complexity" in nature. Michael Behe defined it as
a single system which is composed of several well-matched, interacting parts that contribute to the basic function, wherein the removal of any one of the parts causes the system to effectively cease functioning. An irreducibly complex system cannot be produced directly by slight, successive modifications of a precursor system, because any precursor to an irreducibly complex system that is missing a part is by definition nonfunctional . . . Since natural selection can only choose systems that are already working, then if a biological system cannot be produced gradually it would have to arise as an integrated unit, in one fell swoop, for natural selection to have anything to act on.
The examples proffered were the bacterial flagellum, the complex biochemical cascade that causes blood clotting, and the immune system.
First, at the trial all these examples were explained by the evolutionary process of exaptation, the employment of an existing feature which had evolved for purpose A so that it became employed for purpose B. An example is the fine bones of the ear, which began as parts of the hinged jaw. Behe had earlier acknowledged his 'irreducible complexity' hypothesis did not take such processes into account and stated his intention to amend it to do so; but he did not achieve this in the four years between his saying so and the trial, and he has not achieved it in the fifteen years since.
Second, it would make no difference had he done so. All he would then have succeeded in doing was to point to problems in the theory of evolution that were presently unsolved. In particular, the existence of such problems would not imply the existence of his "intelligent designer".