Comment 93 for bug 1000253

$ lsusb
Bus 003 Device 005: ID 093a:2510 Pixart Imaging, Inc. Optical Mouse
Bus 004 Device 004: ID 1a86:7584 QinHeng Electronics CH340S
Bus 005 Device 002: ID 055f:0210 Mustek Systems, Inc. ScanExpress A3 USB
Bus 001 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub
Bus 002 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub
Bus 003 Device 001: ID 1d6b:0001 Linux Foundation 1.1 root hub
Bus 004 Device 001: ID 1d6b:0001 Linux Foundation 1.1 root hub
Bus 005 Device 001: ID 1d6b:0001 Linux Foundation 1.1 root hub
Bus 006 Device 001: ID 1d6b:0001 Linux Foundation 1.1 root hub
Bus 007 Device 001: ID 1d6b:0001 Linux Foundation 1.1 root hub
Bus 008 Device 001: ID 1d6b:0001 Linux Foundation 1.1 root hub

No HP printers, no printers at all, but printing works. Connection through LPT-USB "noname" adapter! I think, not much choises, here is it:
Bus 004 Device 004: ID 1a86:7584 QinHeng Electronics CH340S

Yes, by the way! "hp-toolbox" (hplip-gui package) couldn't find any printers, not automatically, not manually (Bus 004 Device 004), but CUPS do (web interface -> administration -> add printer):

Local Printers: * Serial Port #1
                                * Serial Port #2
                                * HP LaserJet 5100 Series (HP LaserJet 5100 Series)
                                * HP Printer (HPLIP)
                                * CUPS-PDF (Virtual PDF Printer)
                                * LPT #1
                                * HP Fax (HPLIP)