If you've ever solved chess problems, you know that moving a knight across the board requires precise planning. For language models, however, the "laden knight's tour" — a variant where the knight must adhere to additional restrictions or "loads" during movement — is an extreme challenge. It requires not only knowledge of the rules but also the ability to maintain the state of the environment and a long-term strategy without logical errors.

Logic vs. Context: Where Does the AI Boundary Lie?

This duel was not about who had more verbal traps, but about who could maintain logical consistency over time. According to current data from January 2026, we see a clear division of roles among the main players in the market. While OpenAI still holds the record in pure mathematical abstraction, Anthropic and Google specialize in completely different aspects of the user experience.

For comparison, we can use the SWE-bench Verified benchmark, which tests AI's ability to solve real software tasks directly from GitHub. Here, Claude Opus 4.5 achieved an incredible success rate of 80.9%, surpassing even previous top models. This makes it an unshakeable favorite for professional developers who need code that works right the first time and requires minimal fixes.

On the other hand stands Gemini 3 Pro from Google DeepMind. Its main weapon is not necessarily precision in every single step of a logical task, but its extremely large context window. With a capacity of 1,000,000 tokens, Gemini can process entire code libraries or thousands of pages of documentation at once, which is a huge advantage for analyzing large datasets compared to Claude Opus 4.5's 200,000 tokens.

Benchmarks in a Nutshell: Who is King in What?

To understand how much these models differ, let's look at the current performance comparison in key disciplines:

• Programming and Refactoring (SWE-bench): The winner is Claude Opus 4.5 (80.9%), followed by the GPT-5.2 model.
• Complex Mathematics (AIME 2025): The absolute winner is GPT-5.2 with a score of 100%. If you're solving mathematical proofs, OpenAI still leads.
• Working with Vast Amounts of Information: The winner is Gemini 3 Pro thanks to its million-token context.

Practical Impact: What Does This Mean for You?

This technological shift has direct implications for various user groups, including those in the Czech Republic and the entire EU.

For Developers and IT Companies

If you work on production software, Claude is currently the most reliable partner. Its ability to generate "production-ready" code means less time spent debugging. For Czech software companies focused on the global market, integrating the Claude API can be a key factor in increasing team efficiency.

For Analysts and Scientists

Here, Gemini dominates. The ability to "extract" information from a huge PDF document or an entire database without having to split the text into chunks is crucial for working with Big Data. For the Czech academic environment and research institutions, Gemini represents a tool that can work with entire monographs at once.

For Everyday Users and Students

ChatGPT (GPT-5.2) remains the best "teacher." Its ability to explain concepts and its high success rate in mathematical tasks make it an ideal tutor. All these models are already fully available in Czech, which is crucial for Czech users – the models understand our language, grammar, and specific contexts.

Pricing Policy and Availability in the Czech Republic

When choosing a model, costs must also be considered. All these services are available in the Czech Republic via web interfaces and APIs, with payments typically made in USD or EUR (depending on the provider).

• Claude (Anthropic): The free tier is limited. A Claude Pro subscription costs approximately 20 USD per month.
• Gemini (Google): Offers a free version and a paid Gemini Advanced, which costs approximately 20 USD per month and is part of Google One AI Premium.
• ChatGPT (OpenAI): A ChatGPT Plus subscription costs 20 USD per month and provides access to the latest models like GPT-5.2.

From a regulatory perspective, it is important to mention that all these companies must comply with strict rules for transparency and security under the EU AI Act, which increases data protection for European companies and individuals.

Conclusion: Which Model to Choose?

There is no single universal winner. If you are looking for precision in code, opt for Claude. If you need to analyze millions of words, choose Gemini. If you need to solve complex mathematical problems or learn, ChatGPT is still at the top. The "laden knight's tour" duel showed us that AI is no longer just about text generation, but about the ability of logical reasoning, which moves another millimeter closer to human intellect every month.