counterexample-explainer

counterexample-explainer is a skill for Claude Code, Codex from ArabelaTso/Skills-4-SE. It costs 147 tokens per session (3,405 once invoked), scanned A, original, Apache-2.0.

An explanation guide for counterexamples: concrete inputs or execution traces that show how code violates a requirement, test, invariant, or formal specification.

In plain words
What is it for?
Use it to analyze failures involving preconditions, postconditions, state machines, temporal rules, concurrency, user stories, acceptance criteria, API contracts, or property-based tests.
Why use it?
It turns a failing check into a clear account of what should happen, what happened instead, and where the cause and impact lie.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one.

Good fit Use it to analyze failures involving preconditions, postconditions, state machines, temporal rules, concurrency, user stories, acceptance criteria, API contracts, or property-based tests.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/arabelatso/skills-4-se/counterexample-explainer
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add ArabelaTso/Skills-4-SE --skill counterexample-explainer
Clone the repo
git clone --depth 1 https://github.com/ArabelaTso/Skills-4-SE

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for counterexample-explainer

README.md
[![agentmods](https://agentmods.dev/badge/skills/arabelatso/skills-4-se/counterexample-explainer/github.svg)](https://agentmods.dev/skills/arabelatso/skills-4-se/counterexample-explainer)
Your own site
<a href="https://agentmods.dev/skills/arabelatso/skills-4-se/counterexample-explainer"><img src="https://agentmods.dev/badge/skills/arabelatso/skills-4-se/counterexample-explainer/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for counterexample-explainer

Your own site · 80×15
<a href="https://agentmods.dev/skills/arabelatso/skills-4-se/counterexample-explainer"><img src="https://agentmods.dev/badge/skills/arabelatso/skills-4-se/counterexample-explainer.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 147 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 3,405 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe. Third-party audits
  • NVIDIA SkillSpector pass 7 Sept 2026
How audits are shown
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00147 $0.03405
Opus 5 $0.00073 $0.01702
Sonnet 5 $0.00029 $0.00681
Haiku 4.5 $0.00015 $0.00341

Measured 9d ago against content hash 2d5188debf7e, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-08, from the pricing page.

Security

Grade A, and why

counterexample-explainer scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 9d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

skills/counterexample-explainer/SKILL.md · 598 lines

How it starts

The opening of the file, as written. The whole thing — 598 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Counterexample Explainer

Overview

Analyze counterexamples that violate specifications and produce clear, structured explanations showing step-by-step how and why the violation occurs, with root cause analysis and impact assessment.

Workflow

1. Understand the Specification

Identify what property is being checked.

Questions to ask:

  • What is the specification or requirement?
  • Is it formal (invariant, temporal logic) or informal (requirement doc)?
  • What should happen vs what actually happened?
  • Is this from a test failure, model checker, or runtime error?

See specification-types.md for comprehensive specification catalog.

Common specification types:

Formal specifications:

  • Invariants: balance >= 0
  • Temporal logic: G(request → F grant)
  • Pre/postconditions: @requires(x > 0), @ensures(result >= 0)
  • State machines: Valid state transitions
  • Concurrency: Atomicity, deadlock freedom

Informal requirements:

  • User stories with acceptance criteria
  • Functional requirements
  • API contracts
  • Expected behavior descriptions

Test specifications:

  • Assertions: assert result == expected
  • Property-based tests
  • Integration test expectations

2. Collect Counterexample Information

Gather all relevant data about the violation.

From test failures:

# Run test to get failure details
pytest test_file.py::test_name -v

# Get stack trace
pytest test_file.py::test_name -v --tb=long

# Get variable values at failure
pytest test_file.py::test_name -v -l

Information to extract:

  • Input values that triggered failure
  • Expected output/behavior
  • Actual output/behavior
  • Intermediate state changes
  • Stack trace or execution path
  • Error messages

From runtime violations:

# Assertion failure
AssertionError: balance must be non-negative
  File "account.py", line 45
  assert self.balance >= 0

# Extract:
# - Variable: self.balance
# - Expected: >= 0
# - Actual: (check value)

Read the full file on GitHub · 598 lines

Files

What ships with it

2 files beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 9d ago First seen · 598 lines · 147 tokens per session scan A 2d5188debf7e

Subscribe to this mod's changes

counterexample-explainer is a skill published in the GitHub repository ArabelaTso/Skills-4-SE (251 stars, last pushed 18d ago), licensed Apache-2.0. It adds 147 tokens to every session and 3,405 once invoked, about $0.0007 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-30.

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