I have had problems since the HP software update which happened automatically on 6 October. I did not realise what it had done at the time.
I have an iMac and HP laser jet 1320. Since last week, I found that many pdf files would not print - the printer light would flash for a while, it looked as though it would print, then it just stopped flashing and it seemed to think that it printed something when it hadn't.
I spent a few hours of trying to diagnose the problem, finding that some programmes still printed OK, or, if I asked for 2 copies of a pdf, it would print 1 copy, or if I asked for printing of pages 1 to 4 of a pdf, it would print pages 1 to 3 only. It seemed to be just that it would not print the final page of a print job from a pdf.
I reinstalled all the HP printer drivers from scratch. I repaired permissions. All to no avail.
Then I did what was suggested here: I went back with Time Machine and replaced the whole HP folder in the library/printers; did a restart.
Hey presto, everything (touch wood) is now fine.
Clearly there is a glitch somewhere in the HP update from Apple.