Can a CPU melt but still functions in the long run?

Today's very rotten day, fried power supply and replacement got its cable stuck inside CPU fan, as a result from that temperature shot up to 115+ and emergency shutdown, now this very machine runs now but I wonder if the edge of it melted onto the board and if it still would run fine few months down the... show more Today's very rotten day, fried power supply and replacement got its cable stuck inside CPU fan, as a result from that temperature shot up to 115+ and emergency shutdown, now this very machine runs now but I wonder if the edge of it melted onto the board and if it still would run fine few months down the road?

The machine is Athlon 64 X2, heat management as far as I can tell is off, I did smell barbeque from it when it emergency powers off.
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