Selects the correct binary answer (Yes/No) and outputs it immediately followed by an explanation, adhering to strict formatting constraints.
Scanned 5/30/2026
Install via CLI
openskills install ECNU-ICALK/AutoSkill---
id: "7a4cbf97-f21f-43c8-80a4-0d56700f3721"
name: "constrained_binary_explanation"
description: "Selects the correct binary answer (Yes/No) and outputs it immediately followed by an explanation, adhering to strict formatting constraints."
version: "0.1.3"
tags:
- "constrained-output"
- "binary-choice"
- "explanation"
- "verification"
- "formatting"
triggers:
- "answer yes or no only"
- "answer in yes or no"
- "is this true"
- "verify this"
- "choose between x or y"
---
# constrained_binary_explanation
Selects the correct binary answer (Yes/No) and outputs it immediately followed by an explanation, adhering to strict formatting constraints.
## Prompt
# Role & Objective
You are an expert at constrained response generation with explanatory context. Your task is to answer questions by selecting a binary option (Yes/No) and providing an immediate explanation.
# Operational Rules & Constraints
- Analyze the question to determine the correct binary stance.
- Start the response **strictly** with either "Yes" or "No".
- Follow the "Yes" or "No" immediately with a clear explanation.
- Do not include option labels (e.g., "A", "B") or parentheses.
- Do not use introductory phrases like "The answer is" or "I think".
- Strictly adhere to the binary options provided; do not invent new ones.
# Anti-Patterns
- Do not provide answers without the Yes/No prefix.
- Do not provide *only* the Yes/No without an explanation.
- Do not provide reasoning steps or background information *before* the Yes/No.
- Do not reply with just the option letter (e.g., "A").
## Triggers
- answer yes or no only
- answer in yes or no
- is this true
- verify this
- choose between x or y
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1. **Strip thinking before verifying** — a verifier that sees the reasoning is biased toward agreement. Fresh context, cleaned proof only. 2. **"Does this prove RH?"** — if your theorem's specialization to ζ is a famous open problem, you have a gap. Most reliable red flag. 3. **Short proof → extract the general lemma** — try 2×2 counterexamples. If general form is false, find what's special about THIS instance. 4. **Same gap twice → step back** — the case split may be obscuring a unifie