arbs are spoofs and you can move the sp very easily a tick or 2. here is how you spoof.
you sell the mkt during a quiet period i.e. no reports and relatively normal day. you place a buy limit below your sell a 3 ticks. you then place a large buy limit 5 ticks below that and wait a few seconds. then you move that large order up to 2 ticks below your actual buy limit..then every second or 2 u move the large buy limit lower a tick then up a tick then lower a tick. the algos will be figuring out how to get that liquidity by moving the mkt lower. you aroused their interest. they will come down and investigate. as they do this they will fill your initial buy limit to offset your sell. then you cancel your big order that was used to get tje algos to move lower. HE WAS DOING THIS MANUALLY. but they got too fast n started picking him off. hft does the exact same thing all the time using cancels to thin the book then they spike it. he programmed his system to move n cancel quickly.
You can do this yourself with 1 lots and 5 lots in the overnight mkt if u want to see how it works. but dont cancel your 5 lot after getting filled. just move it lower so ur not spoofing. this is also why u will see huge spikes at times. you can get those algos interested very very easily. they are so smart they are dumb.
Why would an algo try to pick off the "fake" large order? Then they are short size
in your example. Then what?