After reading Origin's profile, it sounds like this:
Martial Arts:
Origin clearly has more knowledge here (
he seems to know all possible martial arts in existence), but Cid has much better practical application.
Origin's most impressive feats in his skill section are:
Dodging attacks from two coordinated opponents who attacked him from different angles. Cid has this, but much better;
he constantly aim-dodged the attacks of a danmaku created by three opponents, with attacks coming from all directions, all this with enormous speed disadvantage, as he was walking, and those attacks were stated above
Mach 1.
Origin also apparently could cut someone with piercing damage resistance by going for some weaker spots with high precision. Cid, on the other hand,
can cut things to the point they disappear and
move his sword to avoid hitting raindrops in a storm.
I also want to point out that
this, where Origin pulls out virtually impossible movements, is nothing new in The Eminence in Shadow, and people who get do-walked by Cid
can do "impossible movements."
Cid also has instinctive Action, which Origin completely lacks, tho he compensates with much higher Cognitive Power.
Information Analysis & Analytical Prediction:
Origin can calculate all possible movements of the opponent after analyzing them for 0,5 s to later be untouchable by them.I would say Cid edges out here as well, not only for the feat I showed above, where he was basically mind-reading an entire danmaku, but also because of his fight against Aurora,
which was a battle of prediction, where both were adjusting their own movements and predictions to overcome one another's. And
Cid managed to aim-dodge her first attack even with virtually no prior knowledge of her, and the fight had yet to start.
I think Cid can deduce attacks with much less information. As the fight goes on, even if it takes longer than Origin (depending on the opponent), Cid develops much better Analytical Prediction.
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In short, Origin has much more overall knowledge and calculation power, but Cid edges out by a good margin in practical application of everything. So I give this to Cid low diffs.
I can go more in-depth with Accelerated Development and Resistances, in which Cid edges out anyway, but for now, I think this is enough.
If I missed something for Origin, just lemme know.