Unfortunately, I do not have a replay since I tend to clean out files fairly often (Ironically, so its easier to find the files I want). However, I do remember the game fairly well.
My ally and the other Advent player were only 3 jumps apart, with just two volcanic worlds between them. I tracked the Advent fleet and together we hit the opponent's freshly built 2nd capital ship before it joined his fleet. My ally left a front world planet under attack solely so we could pull this off, and definitely would never had done that if we hadn't known he had a second capital ship on the way. Later, the Advent player split his fleet, and had his capital ship and smaller fleet guard his flank against me while his main fleet and the TEC player's fleet hit my ally together. However, with the clairvoyance we knew exactly when this split occurred. I attacked the smaller fleet after the split but before my ally was attacked. My ally knew to rush the TEC players fleet before the opposition merged together. The Advent player hesitated and delayed his attack, sending some of his ships back to attack me while my ally bought himself time to build a starbase and upgrade it. Both attacks failed (as expected), but my ally lasted much longer because of it. Since I was tracking the TEC fleet the entire time, I was able to build a starbase in one of his gravity wells yet be certain his fleet would be several jumps away. The final judgement on my starbase forced him to build his own starbase so that A) he wouldn't lose the planet to bombardment and he would have air support to provide cover for his ogrovs he was slowly building. Again, my starbase was destroyed, but it forced the TEC player to build a lot of ogrovs far from my ally, and to bring his fleet back. Even though I knew I'd lose the starbase, it bought us the time to give my ally the chance to build another starbase on his new front line (he lost another planet) and gave me time to build a fleet.
And here is where clairvoyance really helped. The TEC player was in the best position planet wise and economically. Further more, their team had a supply pact, so we were screwed economically. In past games I have built large amounts of carriers, so my TEC enemy had two fleets: one hitting my vasari ally, and a second composed entirely of gardas. He kept this fleet back from any battles, hoping I'd bring in my fleet of carriers not thinking he had any defense against SC. Because of this, I just built HCs and domina subjugators. Without clairvoyance, I doubt I would have known he had that many gardas (somewhere around 90 I think) considering how far away they were from me (and therefore my scouts).
I bought myself time to build up a fleet and bought my ally time to build starbases and delay his demise because we knew where to deal punishing blows early on in the game.
With the vasari starbases defending my ally, and with the TEC player tying up his ogrovs to fight my starbase in his territory, my ally lasted a long time given the situation. Since they were so caught up fighting against him, I used a wormhole (somewhere in the Advent player's sphere of influence) to jump into the TEC player's area. With provoke hysteria I was able to eliminate about 6 or 7 the TEC players planets. He didn't bring his fleet back because they didn't think I'd be able to take them both on once my ally was defeated.
After my ally was gone, the TEC fleet came back towards my fleet while the Advent player came to hit my planets.
Since I knew where the TEC fleet was jumping, I was able to avoid him and come back through the wormhole. Then, I was able to avoid the Advent fleet in his own territory, wiping out his planets and structures using provoke hysteria and lots of HCs. I saved my original planets because I was able to avoid a battle with both factions, and I was able to do this because of clairvoyance. Their fleets tried to corner me and hit me at the same time, but I was able to pick them off one by one...and since I knew what fleet composition to have (not the usual carrier spam), the fleets of LRFs + anti-SC were crushed.
Key reasons I was able to defeat them after these battles:
1) Though the Advent player eventually recolonized his planets, by losing them (and going under 5), they lost their supply pact, so when the fleets were destroyed, they couldn't rebuild them without doing some serious research.
2) I was able to navigate deep into enemy territory, avoiding fleets and starbases, and wipe out the many novaliths that the TEC player built
3) I knew where they were rebuilding and mobilizing their fleets, where they were keeping there fresh capital ships waiting to level up to level 4, and I hit them with small fleets before they accumulated a large enough fleet to threaten them.
Of course, a valid point has been brought up: why not just use scouts? The problem with them is that they are easily killed my SC, and both opponents had large amounts of hangars in all their gravity wells (to counter my usual carrier spam), so scouts likely would not have made it beyond frontline planets.
In order to do what I did, I also would have needed scouting reports at several planets deep in enemy territory at any given time...not an easy thing to do...