Deleting songs from my iPhone library?

Hi, I have a iPhone 5c and a year ago I wemt through a phase where I loved everything Taylor swift. I now do not want them on my phone and when I hit the delete button to delete the songs it showed a little cloud icon. I'm wondering how do I get rid of the songs permanently and I do not have computer that is hooked up to my apple id.

They are deleted permentaly when you do that

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