Please help to identify a water treatment system (w photos)

[fleur]

Hello everyone,

We bought a house and there is some water filtration system.
Control valve says Autotrol Model 263/440i

Can somebody help me to identify what kind of system we have by looking at the photos below? Thank you.

Photos:






We're about to do some bathroom remodeling, and our GC said that he would advise us to invest into some water softening system. When I asked him what we had in a garage, he said he didn’t know.

I see some magnetic softeners attached to the pipes. I do not believe they work and think the idea behind them doesn’t make sense.

I recently had to test our tap water for total calcium hardness since I have problem with our pool (total calcium hardness is >900ppm).
Our tap water had a calcium hardness of 250ppm. I used Taylor K-2006 Test Kit
I called our water treatment facility, and they said that their measurements are around 750ppm, but I think the technician I spoke with made a mistake. I will verify this information again because this doesn't make any sense.

Also, when our GC told us about investing into a water softener, I pulled out one of the Aquachek test strips for pools and tested our tap water for total hardness. The result was 250ppm (250 x 0.058=14.5 grains). I know these strips are not the most reliable, (they jump from 0 to 100 to 250-500-1000), but when I test our pool water using them, total hardness shows >1000ppm