##Slightly longer##Longer answer with further clarification
Most thoughts and beliefs that are adopted by the person are those that are consistent with the experiential world; and, most of the ways of behaving that are adopted by the person are those that are consistent with the concept of self.
What exact properties makes an experience "inconsistent" (to the self-structure)?
Your new attempt to define inconsistent experience is correct
An experience is said to be inconsistent when the experience appears to demonstrate to the individual some values or qualities (of people, reality, themselves) that differs to what they have stored in their self-structure.
A shorter definition can be that an experience will be inconsistent when the experience does not agree with your self-structure.
Remember that your self-structure is built from your experiential world which can be different to the real world.
Your self-structure is built from past experiences, knowledge, values and/or beliefs.
If you are experiencing something which is different to your self-structure, the experience is inconsistent with your self-structure.
##Your requests for further clarification
What are some good examples of inconsistent experiences (given a person's self concept)?
##One example from my work with the abused
A lot of men believe that they will never be attacked and raped, and if anyone was to try, they would be able to fight them off and prevent it.
Many of those who have been raped believe that because they could not fight them off, they must have "somehow" or "for some reason" allowed it to happen and therefore it is their fault.
What are some examples of a person's self-structure in terms of how?
Your example is part of the story.
An individual categorizes information from conversations and media in categories such as information on friends, on world events, on politics...
The self-structure is formed not just from conversations they have had and from the news and other media, but also from personal experiences.
Let's again use my example of these men who are now blaming themselves for being raped.
This is where the choice I mentioned in the short answer comes in. You can choose to ignore the inconsistencies and carry on believing your self-structure is correct, or you can stop and examine the inconsistencies and adjust your self-structure to suit.
These men examined the experience, interpreted the events and adjusted their self-structure accordingly.
Their previous self-structure contained the belief that they could prevent it, but they now believe that the inconsistent experience shows they couldn't.
Their attacker(s) managed to rape them even though the person "should have been able to prevent it and fight them off".
They chose to look at this experience and see it that they must have let them do it.
Their adjusted self-structure now contains the belief that if anyone was to try again, they will not be able to prevent it and, in fact, they may allow it to happen again.
Their self-structure has been severely compromised and maladjusted, to the point that they are now living with feelings of guilt and shame which is not theirs to bear.
Do experiences also demonstrate inconsistency with how a person organizes themselves? If "inconsistency" refers to that aspect as well, what is a good example?
This is a very good question which therapy gives the answer.
In very simplified terms, the previous inconsistent experience within their experiential world and resulting adjustment would need to be examined in therapy in order for the real world interpretation (they did not willing allow it to happen and it is not their fault) to be taken as fact.
The reason for believing it is their fault will be examined by re-examining the events in a safe environment, and challenging how this belief was formed.
It is by challenging this altered belief that the maladjusted self-structure can be altered to be more accurate and helpful.
For a more in depth take on the theory of the self, RogersRogers (1951) is a recommended read.
