Finally got one of these Mining Pools working!

[Tosmekop]

 cgminer version 3.12.3 - Started: [2014-02-11 13:32:25]
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 (5s):0.000 (avg):0.000h/s | A:0  R:0  HW:0  WU:0.0/m
 ST: 1  SS: 0  NB: 6  LW: 91  GF: 0  RF: 0
 Connected to asdf.asdfjkl.xy diff 32 with stratum as user asdf.jkl
 Block: 80c93c4b...  Diff:9  Started: [13:34:52]  Best share: 0
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 [P]ool management ettings [D]isplay options [Q]uit
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Input server details.
URL:
stratum+tcp://asdf.asdfjkl.xy:3333
Username:
asdf.jkl
Password:
asdf
 [2014-02-11 13:32:24] Pool 0 difficulty changed to 32
 [2014-02-11 13:32:24] Probing for an alive pool
 [2014-02-11 13:32:25] Network diff set to 9
 [2014-02-11 13:33:07] Stratum from pool 0 detected new block
 [2014-02-11 13:33:22] Stratum from pool 0 detected new block
 [2014-02-11 13:34:02] Stratum from pool 0 detected new block
 [2014-02-11 13:34:32] Stratum from pool 0 detected new block
 [2014-02-11 13:34:52] Stratum from pool 0 detected new block

This is what I'm seeing inside my console window.
What exactly am I looking at, and what do I do, in order to be able to begin mining?

[-ck]

You don't own any mining hardware it seems. Your PC hardware itself does not mine, it runs the mining hardware that you attach to it, and cgminer will connect to the pool happily waiting for you to plug in hardware that it recognises so that it can hotplug it.