February 26, 2026
SAT, UNSAT, or just unhinged?
Some silly Z3 scripts I wrote
Math cheat codes, German computer jokes, and a “prove it” fight
TLDR: Hillel Wayne shared playful Z3 solver scripts from his logic book work, including a puzzle Z3 marks as unsatisfiable. Commenters joke about Germany’s Z3, praise Z3 for catching bugs early, and warn it isn’t a perfect proof engine since it can reply “unknown,” fueling a lively debate.
Programmer Hillel Wayne just dropped some “silly” scripts showing off Z3, a tool that acts like a puzzle-solver for math and code. He uses it to auto-solve Algebra-style equations and test quirky number questions—like whether four different numbers can share the same sum and product (Z3 says unsatisfiable, i.e., no solution). It’s a teaser from his upcoming book Logic for Programmers, and the crowd came ready with jokes, lessons, and sirens.
The comments split fast. One camp’s loving the math cheat code vibe—let the robot do the homework! Another camp turns into the proof police, warning that Z3 isn’t a magic truth oracle. As one skeptic notes, the tool can return “unknown”, so don’t assume “not sat” means the theorem’s proven in every scenario. Meanwhile, the meme brigade saw “Z3” and went full retro, cracking about the German Z3 computer—pure dad-joke energy. A helpful explainer chimes in that tools like Z3 help catch bugs early—before code even runs—dropping a handy wiki link.
So the vibe is classic internet: math hacks vs. academic caution, with Wayne’s clean proof in the dropdown satisfying many, and the rest waving the “be careful” flag. Come for the scripts, stay for the snark.
Key Points
- •The post introduces Z3 as an SMT solver and explains SMT at a high level.
- •Demonstrates Z3 usage in Python (via the z3-solver package) to solve a simple system of linear equations.
- •Shows Z3 returning a satisfying model (“sat”) for equations and “unsat” when constraints are impossible.
- •Poses and encodes a puzzle (equal sums and products with four distinct positive integers); Z3 finds it unsatisfiable and a brief algebraic proof is provided.
- •Highlights Z3 capabilities across multiple theories and helper constructs like IntVector, Sum, Product, and Distinct for concise constraint modeling.