Colossians 2:15

He disarmed the rulers and authorities and put them to open shame, by triumphing over them in him.

-Colossians 2:15

In this way, he disarmed[d] the spiritual rulers and authorities. He shamed them publicly by his victory over them on the cross.

-Colossians 2:15 (NLT)

When He had disarmed the rulers and authorities [those supernatural forces of evil operating against us], He made a public example of them [exhibiting them as captives in His triumphal procession], having triumphed over them through the cross.

-Colossians 2:15 (AMP)

I find it very interesting that not only does it say "He disarmed the rulers and authorities", but it also says "and put them to open shame, by triumphing over them in him".  They have been disarmed, but they have also been put to open shame.  How are they shamed?  "By victory over them on the cross" (NLT).  AMP even goes on to say "He made a public example of them [exhibiting them as captives in His triumphal procession]".  That's quite a statement to make.  So they were defeated and are shamed by their defeat (and for all to see).  I guess that means that for those who have been made alive with Christ do not need to be ashamed.  We are alive with him who has triumphed over them.  Walk in him.