Improve README for better clarity and instructions

[ScapeXYZ]

Summary

This pull request proposes the following improvements to the repository:

1. Updated the README.md file to:

   • Clarify installation steps.
   • Add examples for running the Docker container.
   • Explain how to customize proof logic in detail.

2. Suggested improvements in the proof logic, including:

   • Adding error handling for invalid input files.
   • Ensuring better validation for file uniqueness.

3. Enhanced the Dockerfile to:

   • Reduce the image size.
   • Add a comment for better understanding of each instruction.

Motivation

These changes are intended to:

• Improve developer experience and make the project more accessible for contributors.
• Ensure the proof tasks are more robust and secure.
• Enhance the documentation to align with community standards.

Testing

All changes have been tested locally by running the updated Docker container with sample inputs. No issues were found.

Additional Notes

Please review and let me know if further modifications are needed.