Or can you? Do you have a set of objective rules for determining whether a system has specified complexity or not that we can examine?
It's a good question and fair. In short, I would say it has the hallmarks of Intelligent Input:
it has purpose and intent; a result of planning and/or coordination.
often with built in contingencies.
displays characteristics that are the antithesis of Natural Law Causation.
Irreducibly Complex.
Some examples:
Sand Dunes vs Sand Castles.
hfkksgeufnvsf sndgfkdi, sgffriro vs "Let's Eat @ Joe's!!".
Mount Rushmore vs Mt Everest.
The Aerojet Rocketdyne RS-25 vs Copper and Iron Ores.
War and Peace vs Ink/Paper/and Glue Molecules.
It's Tantamount to walking on a Deserted Beach and seeing "Please Help Me, I have a Compound Fracture of my Left Femur" carved into the sand, then dismissing it as the result of the action of Wind/Waves/Erosion/Gravity et al.
Savvy?
ps. You could contact SETI, their ENTIRE MISSION is based on differentiating Functional Sequence/Specified Complexity from mere 'order' or 'complexity'.
regards
!