[...]Incongruence is usually experienced as an inner conflict with yourself. Often it seems like there are two sides of yourself. It's like there are two "yous." You have a part of you that wants to do something and a part that objects to it. It could be two behaviors, two beliefs, two belief systems, or even two aspects of your identity. Sometimes, when you're struggling with belief and identity conflicts, one "part" is not even aware of the other part. The result is confusion about yourself.

[...]Incongruity can result from imprint experiences, modeling significant others, conflicts in hierarchy of criteria, and life transitions and passages.

[...]When you are working with someone who has conflicting beliefs, you will often observe an asymmetry in body posture. It's not as subtle as skin color changes or other minimal physiological cues and is usually quite easy to see. You know you're dealing with two dissociated parts when the person is gesturing with the left hand as she discusses one aspect of the problem and the right hand for the conflicting aspect. It's interesting to note that often the right hand (which relates to the left brain, in most right handed people who have normally organized eye accessing cues) has intentions that deal with relationships and being worthwhile as a person in contexts that involve others. The left hand (which relates to right brain functions) tends to relate more to the individual being her own person and having a rich, full life. This kind of conflict might be defined as the difference between an "other-oriented" part and a "self-oriented" part. You might also find an "excitatory" and "inhibitory" conflict where you have one part that has great ideas and wants to move ahead while the other part wants you to hold back.

[Source: Robert Dilts - Beliefs]