I SPENT A GOD DAMN MONTH TRYING TO PROVE SOMETHING THAT FAILS

>>8624887
A lot of things only work in certain dimensions. What is it?

Tell us what it is instead of screeching like an autist.

>>8624887
Here, prove this:

No chords can divide a circle into pieces that are all the same area but noncongruent.

>>8624889
It was conjecture on certain sets of inequalities having solutions.

Here's the first counter example I found.

Let x1, x2, x3, x4, x5, and x6 all be from the interval (0,1) such that x1 + x2 + x3 + x4 + x5 + x6 = 1.

Does there exist a solution such that
x1 + x2 > 1/2,
x1 + x4 + x6 > 1/2,
x1 + x4 + x5 > 1/2,
x1 + x3 + x6 > 1/2,
x1 + x3 + x5 > 1/2,
x2 + x3 + x4 > 1/2, and
x2 + x5 + x6 > 1/2?

Hopefully there's not typo.
I'm too lazy to state the general conjecture I had, but it's false anyways, and that example proves it.

God damn it I'm fucking stupid.

>>8624902
unprovable

>>8624940
Why not?

>>8624915
perhaps try exploring:

x1 + x2 + ... + xN = N, and:

(sum of subset of {x_1, x_2, ..., xN} of size N/2) > N/2

>>8625126
nevermind that is pretty stupid