The computer is not working.
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"if it ain't broke, don't fix it" - taken the other way, we see that broken things can be repaired/fixed. Something that is spoilt ... is marred (eg has a stain) or beyond salvation (would you eat spoilt food?)
So the computer has broken down and can be repaired, but the CD may be spoilt if it is badly scratched up, over-written or something.