Hi FalsEye05,
I had a look at the manual, and I see the connections. In one picture, there is a notation for "Subwoofer". Also, in the specs section, there are power output ratings for "Subwoofer" and then "Front", "Center" and "Surround". I'm starting to think that one of the speaker cables attached to your main speakers is for "Subwoofer" and one is for "Front" (i.e., whatever other "main" drivers are in that speaker).
In the Specs, the "Subwoofer" is rated at 78 W into 4 ohms, while the "Front" is rated at 48 W into 6 ohms.
So, either way, I think they are actually bi-amping this system (I cannot tell if its passively or actively bi-amped). I would probably not recommend using these speakers for any other "normal" system; we just don't know how they are set up. That said, I think you're still free to experiment. I don't think it will kill your system right off; I have faith that current-technology receivers will go into protect mode if they have a problem like a speaker with that. If you do, I would suggest to simply connect the positive and negative wires together and attach them to the appropriate set of binding posts on your new receiver. You may present a rather low load to the receiver (4 ohms in parallel with 6 ohms is going to be less than 3 ohms, I'd guess (no calculator here)), so it might complain about that. I do believe you'll get sound, but I don't think it will be right, even if you convince yourself it sounds OK.
My advice -- get some new speakers with your new receiver!
Have fun!