Nothing is wrong with your system. There are different ways you can be out of phase. In the demo that you are talking about it sounds like the speakers are out of phase with each other. This is not something that you would normally need to worry about. You will never see music like this.
Try this: Turn your amp off and go to one of your speakers (doesn't matter which one). Reverse the speaker cables; if your speakers are biwired, switch both. Just to clarify, put the + (red) on the - (black) and the cable that is hooked up to the - (black) to the - (red). Play the recording that sounded messed up and it should sound normal. Remember, just reverse the cables for 1 speaker, not both.
Try this: Turn your amp off and go to one of your speakers (doesn't matter which one). Reverse the speaker cables; if your speakers are biwired, switch both. Just to clarify, put the + (red) on the - (black) and the cable that is hooked up to the - (black) to the - (red). Play the recording that sounded messed up and it should sound normal. Remember, just reverse the cables for 1 speaker, not both.