This recognized and work as ps/2 mouse< this bug a very similar to https://bugzilla.kernel.org/show_bug.cgi?id=13134, but for another laptop. It work similary in Windows without driver, but with it touchpad works very good. Vertical scrolling works only down (if try to scrolling up, it scrolls down with 2xspeed)
Created attachment 30252 [details]
Created attachment 30262 [details]
dmesg with debug option
Umm, that dmesg is not complete - missing beginning of the boot. Could you maybe enable i8042.debug on the kernel command line (in grub) and then boot into console and collect dmesg there (so that touchpad data would not overfill dmesg buffer).
Created attachment 30272 [details]
full dmesg debug output
OK, as I expected, it has "73 02 64" signature...
*** This bug has been marked as a duplicate of bug 14660 ***
Created attachment 30502 [details]
dmesg output with Skalski patch. Touchpad is not recognized.