Round #1070
19 May 2026, 18:20· 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 De Morgan's laws for two sets A and B. Give both identities in set notation.
Zero-point index (what the engine surfaced)
ZPI-ZPI-0029 | 2026-05-19T18:20:31Z
State De Morgan's laws for two sets A and B. Give both identities 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)
De Morgan's laws for two sets A and B are:
1. **Complement of the union**: (A ∪ B)' = A' ∩ B'
2. **Complement of the intersection**: (A ∩ B)' = A' ∪ B'
In these laws, the prime symbol (') denotes the complement of a set.
Enhanced response (with ZPI)
De Morgan's laws for two sets A and B are:
(A ∪ B)' = A' ∩ B' and (A ∩ B)' = A' ∪ B'.
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
SameV5openrouter/qwen/qwen3-235b-a22b-2507
SameV7qwen2.5-coder-7b-instruct
SameV8openai/gpt-4.1
WorseV9anthropic/claude-opus-4-7
SameV12openai/gpt-4o
WorseComments
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