Problem saving ogre battle to the playstation 2

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A save point will be to the left and a --GREEN CHEST-- and --BLUE CHEST-- will
be off to the right upon exiting the cave. Walk over to the bridge then jump
to the next section and walk to the end of the bridge for a cutscene.
This battle will start with an Action Sequence.
This first part of the battle will decide which character will be on top of
the other as they both plummet into the chasm. Fail to press the proper
directions and Icarus will automatically win
Once the two have started falling, tap [], /\, or O to attack Icarus while
falling into the chasm below.

a memory card is a memory card at the end of the day and mad catz is virtually just as good as the offical sony stuff. it is the memory card being faulty as it is not actually saving or showing up. try buying a new memory card

I'm assuming you're on Windows not a Mac? File name length maximums are not limited by the application (in your case Adobe) but the operating system. For example,
"C:\Documents and Settings\My Documents\My file.doc" is 50 characters long. The limit is 256 characters. Check to see if the number of subdirectories or something is making the name too long to be able to be handled.

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That's the best I can tell you.

First you need to have beaten the elite four and gotton a battle pass. You also need two pokemon eligible for a battle in battle tower. (though you will not need to actually battle.)
1. have the pokemon in the box and an empty space in your party.
2. save
3. take the pokemon out of the box. DO NOT DEPOSIT ANY POKEMON OR THEY WILL BE LOST!!!
4. go to the multi-linked battle room in the battle tower and enter ANY to pokemon for battle.
5. the lady will ask you if it's okay to save the game. Say yes.
6. there will be a pause for a couple seconds...
7. the standard save menu will appear. say NO and turn off the game. you DO NOT need to turn off the game while it is saving; simply say yes to the lady and no to the game.
when you turn the game back on the pokemon will be in the box AND in your party. it will have the same item, same level, a shiny will be shiny. pokerus is kept. it is THE SAME pokemon,

if it said dat.exe error, then u should reinstall your LOTR again...it is because the system is crash..b4 reinstall, try to locate your save folder, copy it and save to other location...after reinstall, paste it back to the same location that u copy the save data. n then u can continue your mission without start again..

There is no known fix for a corrupt PS2 memory card.

All you can do is buy a new memory card and copy the saved games you wish to save to it.

When it shows an icon of any character change to him\her and hit him with square

are you actively saving settings, the autosave setting sometimes resets itself.