Because I didn't succeed to publish my 457 pages article stuck in half-published state (I didn't succeed by parts, too), I requested God to destroy mankind, that lost ordered semigroup actions, and create a new civilization from me. God answered that he will create a new civilization from me. I can't get a publication grant, because I have no science degree. I didn't finish a university course because of religious discrimination. You don't pay for me taking a university course again because of your greed. Conclusion: Mankind dies because of infinite greed of just one human, you.
I’ve found the following counter-example, to this conjecture:
Example For a set $latex S$ of binary relations
does not imply that there exists funcoid $latex f$ such that $latex S=\mathrm{up}\, f$.
The proof is currently available at this PDF file and this wiki page.