you need two mono sources, then combine them into a stereo track, effects-invert one, then stereo to mono conversion.
its sounds like you have a song that is similar but isn't exact. it has to be from the same recording because for the effect to work, the sample rate, speed, waveform compression, etc. have to be almost perfectly aligned to hope for any useful cancellation effect. You might be able to do some jiggery-pockery with it if you zoom in and align, stretch, stuff to fit, but I doubt you will be satisfied with the result.
Thank you for the reply, I already tried it and you were right about the result. I had to manually adjust a lot of stuff, and still doesn't sound good to me. I guess the main reason is that the recording doesn't sound clean.