I bought faulty Keithley 2000 on E-bay. After power supply repair it's now working fine (checked with DMMCheck Plus). All tests pass.
And everything seems to be working correctly, except for the strange problem with DCV.
When nothing is connected to the meter, it's display value is fluctuating.
In autorange mode, it starts with ~0, but then it goes to -1V in approximately 3 seconds. Then it goes back to 0, and cycle repeats.
In manual ranges below 100V, it decreases, and quickly goes to the overflow (less than a second in 1V range, and approximately 30 seconds in 10V range).
In 100V and 1000V display is stable.
A very nice resource
https://xdevs.com/fix/kei2000/ (many thanks to the author!) , gave me schematics and a lot of information.
Connecting my U1252 to the inputs drops displayed value to ~.4mV, and matches what I get on the handheld DMM.
(Measuring current on the shorted 2000 inputs gives picoamps on my U1252 and drops displayed voltage to ~zero.)
Measuring TP104 always matches what I see on the display.
So the problem is somewhere around Q104,Q105,Q108,Q113, U113, U114 (with C132, R134, C251, C252).
I've replaced U113, U114, but it did not help.
Removing Q104, Q105, Q108 does not change behavior. (So everything before Q104 probably does not affect the behavior.)
C132, C251, C252 seem to be fine (I don't have LCR meter, but U251 measured 220pF as expected).
C252 was probably broken (measured 50pF), so I replaced it temporary with through-hole.
The only part that I did not try to remove was Q113, but it is covered by R117 on a separate PCB, so I decided to leave it as it is for now.
(I also did not touch R134, as it seem to be on the bottom side of the PCB. But it should not be important, as I have replaced U114, and checking C251 with my DMM also brings displayed voltage to zero.)
Well, now I am somewhat stuck.
I can try to remove Q113 (actually R117, then Q113), but this is difficult (I am worried about R117), so I need some help.
Did I miss something obvious?