As I said before- the 4 pin and the pcie pin are 2 different stuff. I hope you didn't force (or still trying to use) the pcie cable on the 4 pin ATX connector- or you've not installed the 4 pin properly
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Your board doesn't look like its fixed- atleast judging by the way you're explaining- or something else. That seem to be the case with a friend's maximus V Gene, it worked on an el cheapo power supply (and on the power supply with the older design) but not on the newer Corsair one. Its actually a feature to make sure the end user doesn't really make it worse. Its observed in AX Series (and possibly newer GS Series does the same in your case) is that it doesn't boot the motherboard if the power regulator is damaged- most likely the regulators dedicated to supply power to the processor. The older design power supply does it- and even the cheaper ones, but eventually the system hangs, even if you spend some time idling around the case. I am not saying that IS the case, but after trying to understand what you tried to say above, that's most likely the case. I haven't read the latest ATX specs, but I think it does shuts down if there's something wrong with the voltage regulation. Maybe its the ATX spec- or the design that newer power supplies follow.
2 very possible reasons:
#1. The board is not repaired properly
#2. The board cannot pull that much power for the 125w hexacore.
Did you check the spec of the 1055T that you've bought, is it 95w version or the 125w version??? It looks like you are using a 125w version. Even MSI states that its compatible with 95w hexacores only for this board. Confirm and reply back.
If that's the case, well- consider yourself lucky the first time (well....). Reason being that you could have damaged (or maybe already damaged?) the processor. I am also speculating that's the case because that somewhat explains why you bummed your board twice, along-with using a substandard power supply. a proper power supply with the newer ATX spec will not let you boot the system if something is wrong rather than forcing that much power through the 4 pin (then again- not possible via a 4 pin unless the power regulation on the board is pretty screwed up.... but then again MSI showed it in their CPU support list it supports only 95w hexacores so...).
In any case, what I said above is a speculation. Let me know the TDP of the processor and let me know...
Who was the one recommended this config to you in the first place? He didn't do a good job apparently. Still, confirm it and let me know.