[2026-Sep] Equationfarm.com - Tracking Humanities Path To the Knowledge Singularity.

All information and it's usage is bound by this disclaimer, and you the user use it at your own risk!

The postulate was simple. Can a LLM infer, deduce, and reason in complex, scientific and researching manner -  against known bodies of science?

2025 August:  Grok 4 is Launched after Grok 3, a myriad of claims are made to it's incredible ability. We documented (at that time)  it's current ability to use 'resistance prompting' that is prompts that require the LLM to invent something, but then make three attempts to discredit it.  We watch it come up with all kinds of theories.  Sometimes it would spend close to an hour and come up with literally dozens of ideas - before settling onto a single one. We also ask Grok 3 to fulfill similar tasks.  Topics at the high-end of world-research are deliberately chosen. Sometmes the LLM will mangle making a PDF, and  make PDF images and equations that run off the page. But it did come up with some interesting theories, and ideas

2026 April: Grok 4.3 Beta comes out and it like it's predecessor noticed it was making a large myriad of claims, so we dutifully had it create a few benchmark papers.  Again we notice that PDF generation can be happen stance.

2026 September: AGI Debuts. ChatGPT6 Pro is debut as the world's first Artificial General Intelligence.  Because of this very important milestone we immediately resubscribed to research what capabilities it had.  It was a very differently behaving type of LLM and was able to cut and literally shred through many of the previous papers that Grok 3 and Grok 4 conjured up.  This was an eye popper because at no time did anyone thing that the stuff Grok 3/4 was producing was not SOTA (State of The Art.) This is where this site is right now, and with it's the INSANELY high intelligence  of the worlds first AGI - we are curious and documenting heavily what it thinks up.

A History of Changing Premises -  Stahl

• History has shown 'science' to be challenged and eventually toppled, because of these we keep a very pragmatic stand - what if some of the papers these LLM's are creating were right!?

"Georg Ernst Stahl’s phlogiston theory became one of the dominant explanations of combustion in 18th-century European chemistry. Stahl proposed that combustible substances contained a fire-like material called “phlogiston,” which was released when they burned. For decades, many leading chemists taught and used the theory because it appeared to explain burning, rusting, and related chemical reactions. The theory ultimately failed because careful experiments showed that substances such as metals often gained mass when burned—exactly the opposite of what would be expected if they were losing phlogiston. Antoine Lavoisier’s quantitative experiments in the late 1700s demonstrated that combustion instead involves combination with oxygen, helping overturn phlogiston theory and establish the foundations of modern chemistry."

Equation Farm is Probably The Worlds Largest Unbiased Repository of Purely LLM Generated Scientific Papers.

• We make no apologies if the LLM was able to create a new theory or it's bunk, we simply ask it to be inventive and this site is an ongoing log of what they were capable of creating - at that time!  We fully suspect by 2030/31 they will be so advanced as to leave humanity literally behind relegated to chickens and livestock.