The "p" program shown is a rudimentary pager (just stopped each 22 lines to wait to hit enter - 22 was chosen because some tools formatted output into 66-line pages with headers and footers) that appears in Research Unix v8 and onward, which suggests that what was being shown was the then-current version of Research Unix (this was three years before v8 was formally released). Version numbers weren't really a thing for Research Unix outside the preparation of printed manuals and distribution tapes.
The other commands - makewords, lowercase, unique (by that name, though it may well simply be
uniq renamed), and mismatch (which appears to be a cut-down version of
spell) don't appear in v8 but may have been demonstration programs or scripts created to show off the concept of pipelines for the video.