I believe the problem may be spotted in those two lines of log:
Dec 9 16:08:08 trisquel ntfsresize: ERROR: Very rare fragmentation type detected. Sorry, it's not supported yet. Dec 9 16:08:08 trisquel ntfsresize: Try to defragment your NTFS, perhaps it helps.

Follow the advice: defragment your NTFS partition from Windows and relaunch Trisquel's installer.

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