Round #1100
21 May 2026, 09:40· math· Meta-Llama-3.3-70B-Instruct· r13-clean-hints
- Complexity
- band 0
- ZP / UO / OBS
- 0 / 0 / 0
- Journey weight
- 0
- Lightshift ΔL
- —
Prompt
State the distributive law of intersection over union for three sets A, B, C. Give the identity in set notation.
Zero-point index (what the engine surfaced)
ZPI-ZPI-0029 | 2026-05-21T09:40:41Z
State the distributive law of intersection over union for three sets A, B, C. Give the identity in set notation.
ZERO POINT — 0 entries (structural invariants)
UNOBSERVED — 0 entries (implied truths)
OBSERVED — 0 entries (explicit in request)
COMPLEXITY │ 0 entries │ spread: 0° │ band: LOW
Baseline response (no ZPI)
The distributive law of intersection over union for three sets A, B, and C is:
A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
This identity states that the intersection of set A with the union of sets B and C is equal to the union of the intersections of set A with set B and set A with set C.
Enhanced response (with ZPI)
A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C).
Grader chain
Each grader reads the same baseline + enhanced pair and casts an independent verdict. Disagreement is the framework's own signal — not noise to be averaged away.
V1samba/Meta-Llama-3.3-70B-Instruct
SameV4qwen2.5-coder-3b-instruct
SameV5cerebras/qwen-3-235b-a22b-instruct-2507
SameV7qwen2.5-coder-7b-instruct
SameV8openai/gpt-4.1
WorseV9anthropic/claude-opus-4-7
SameV12openai/gpt-4o
SameComments
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