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Well, I'm afraid I don't see the Contramatic King and the Anti-King as being the same thing at all. The Contramtic King is really the <em>opposite</em> of the Anti-King, if anything. Actually, it looks to me that you have the combination of two conditions here:
<ul>
<p><li><u>Condition 1:</u> Is the checked piece owned by player being checked or their opponent?
<p><li><u>Condition 2:</u> Is the piece checked when attacked or when not attacked?
</ul><p>
Thus we have the following combinations for when a player is in check or equivalent:
<font size=-1>
<table cellpadding=4 border>
<tr>
<td><i>King is</i></td><td><b>Attacked?</b></td><td><b>Not Attacked?</b></td>
</tr><tr>
<td><b>Owned by Self?</b></td><td>Orthochess King</td><td>Anti-King</td>
</tr><tr>
<td><b>Owned by Opponent?</b></td><td>Contramatic King</td><td>Anticheckmate King</td>
</tr>
</table>
</font>
<p>
(The Anticheckmate King is from Anticheckmate chess, which Ralph Betza discussed in the comment system, and shows up as the Prisoner in <b>Prisoner's Escape</b>.)