OK, took the advice of JohnW_57. There were some errors, but they are apparently not the problem, or they are still not fixed--I don't know. Here's the output:
apt-get -o Debug::pkgProblemResolver=1 dist-upgrade
Reading Package Lists... Done
Building Dependency Tree... Done
Calculating Upgrade... Starting
Starting 2
Investigating kipi-plugins
Package kipi-plugins has broken dep on libkdcraw.so.20
Try to Re-Instate kipi-plugins
Done
Done
Following the example of JohnW_57
The following packages will be upgraded
bison (2.6.2-1pclos2012 => 2.6.3-1pclos2012)
ktorrent (4.2.0-2pclos2012 => 4.3.0-1pclos2012)
libktorrent (1.2.0-2pclos2012 => 1.3.0-1pclos2012)
libtiff-progs (4.0.2-1pclos2012 => 4.0.3-1pclos2012)
libtiff4 (4.0.2-1pclos2012 => 4.0.3-1pclos2012)
python-cups (1.9.51-1pclos2010 => 1.9.62-1pclos2012)
timezone (2011k-1pclos2011 => 2012b-1pclos2012)
The following packages have been kept back
kipi-plugins (1.9.0-1pclos2011 => 1.9.0-2pclos2012)
7 upgraded, 0 newly installed, 0 removed and 1 not upgraded.
Need to get 4385kB of archives.
After unpacking 2371kB disk space will be freed.
Do you want to continue? [Y/n] Y
Get:1
http://ftp.heanet.ie pclinuxos/2010/updates timezone 2012b-1pclos2012 [343kB]
Get:2
http://ftp.heanet.ie pclinuxos/2010/updates bison 2.6.3-1pclos2012 [577kB]
Get:3
http://ftp.heanet.ie pclinuxos/2010/kde ktorrent 4.3.0-1pclos2012 [2459kB]
Get:4
http://ftp.heanet.ie pclinuxos/2010/kde libktorrent 1.3.0-1pclos2012 [597kB]
Get:5
http://ftp.heanet.ie pclinuxos/2010/updates libtiff-progs 4.0.3-1pclos2012 [213kB]
Get:6
http://ftp.heanet.ie pclinuxos/2010/updates libtiff4 4.0.3-1pclos2012 [146kB]
Get:7
http://ftp.heanet.ie pclinuxos/2010/updates python-cups 1.9.62-1pclos2012 [49.1kB]
Fetched 4385kB in 6s (674kB/s)
Committing changes...
Preparing ############################## [100%]
Updating / installing
libtiff4-4.0.3-1pclos2012.i586 ############################## [100%]
libktorrent-1.3.0-1pclos2012.i586 ############################## [100%]
ktorrent-4.3.0-1pclos2012.i586 ############################## [100%]
libtiff-progs-4.0.3-1pclos2012.i586 ############################## [100%]
python-cups-1.9.62-1pclos2012.i586 ############################## [100%]
bison-2.6.3-1pclos2012.i586 ############################## [100%]
timezone-2012b-1pclos2012.i586 ############################## [100%]
Cleaning up / removing
libtiff-progs-4.0.2-1pclos2012.i586 ############################## [100%]
ktorrent-4.2.0-2pclos2012.i586 ############################## [100%]
libktorrent-1.2.0-2pclos2012.i586 ############################## [100%]
libtiff4-4.0.2-1pclos2012.i586 ############################## [100%]
python-cups-1.9.51-1pclos2010.i586 ############################## [100%]
bison-2.6.2-1pclos2012.i586 ############################## [100%]
timezone-2011k-1pclos2011.i586 ############################## [100%]
Done.
(I copied this to Kate and then rebooted the system, to make sure that if it needed a reboot it would have it, tested KSnapshot, getting the same crash. then copied it back, here.)
I guess I have to reinstall. I really hate the thought! Well, I haven't tried a different repo. Which one is suggested for north-eastern US? Or, better, for maximum reliability?
--doug