Downgrade iPhone 4S without SHSH?

Basically, I just bought an iPhone 4S and it is on IOS 6. The previous owner did not save any SHSH so I'm wondering is there a way that I can downgrade my device back to 5.1.1 without SHSH?
Please help me! I don't want to have IOS 6 on my iphone cause it drain my battery so bad and i can't even jailbreak my device.

No, it's not possible.

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