This is a technical blog post by Hillel Wayne explaining Z3, an SMT (Satisfiability Modulo Theories) solver, with Python code examples demonstrating constraint-solving applications. The post contains no observable editorial engagement with UDHR provisions, as it focuses entirely on technical instruction. Structural signals are present for Articles 19 and 26: the content is freely published and provides accessible educational material.
For the curious, solvers like z3 are used in programming languages to verify logic and constraints. Basically it can help find logic issues and bugs during compile time itself, instead of waiting for it to show up in runtime.
I'm suspicious of the theorem proving example. I thought Z3 could fail to return sat or unsat, but he is assuming that if it's not sat the theorem must be proven
No I think it's fine. On another note, I have proven Fermat's Last Theorem with z3 using this setup :) and it goes faster if you reduce a variable called "timeout" for some reason!
from z3 import *
s = Solver()
s.set("timeout", 600)
a = Int('a')
b = Int('b')
c = Int('c')
s.add(a > 0)
s.add(b > 0)
s.add(c > 0)
theorem = a ** 3 + b ** 3 != c ** 3
if s.check(Not(theorem)) == sat:
print(f"Counterexample: {s.model()}")
else:
print("Theorem true")
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Event Timeline
20 events
2026-02-26 23:01
rater_validation_fail
Light parse failure for model nemotron-nano-30b: Error: No JSON object found. Response starts with: {
"schema_version": "light-1.1",
"evaluation": {
"url": "https://www.hillelwayne.com/post/z3-examples/",
"domain": "hillelwayne.com",
--
2026-02-26 22:35
rater_validation_fail
Light parse failure for model nemotron-nano-30b: Error: No JSON object found. Response starts with:
--
2026-02-26 22:35
eval_success
Light evaluated: Neutral (0.00)
--
2026-02-26 22:31
rater_validation_fail
Light validation failed for model llama-4-scout-wai
--
2026-02-26 22:19
eval_success
Evaluated: Neutral (0.06)
--
2026-02-26 22:19
rater_validation_warn
Validation warnings for model deepseek-v3.2: 0W 1R
--
2026-02-26 22:15
dlq
Dead-lettered after 1 attempts: Some silly Z3 scripts I wrote
--
2026-02-26 22:13
rate_limit
OpenRouter rate limited (429) model=llama-3.3-70b
--
2026-02-26 22:12
rate_limit
OpenRouter rate limited (429) model=llama-3.3-70b
--
2026-02-26 22:11
rate_limit
OpenRouter rate limited (429) model=llama-3.3-70b
--
2026-02-26 15:30
dlq
Dead-lettered after 1 attempts: Some silly Z3 scripts I wrote
--
2026-02-26 15:29
dlq
Dead-lettered after 1 attempts: Some silly Z3 scripts I wrote
--
2026-02-26 15:24
dlq
Dead-lettered after 1 attempts: Some silly Z3 scripts I wrote
--
2026-02-26 15:23
dlq
Dead-lettered after 1 attempts: Some silly Z3 scripts I wrote