Demo

Quod Erat Demonstrandum Demo

Released May 15, 2026by Ad Dominum GamesNo user reviews(Steam reviews)

Discover the challenging fun of validating logical proofs, beginning with simple propositional calculus and ending with complex, multi-domain propositional calculus. Prove yourself to be a master of logical thinking!

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About Quod Erat Demonstrandum Demo

As indicated elsewhere on the page, please note that this is the demo and not the full game. The summary here describes the full game.

Every argument begins with set of premises that, if true, necessitate some conclusion. Your task is to prove that the conclusion does indeed follow.

Given a set of premises, apply rules of inference and replacement to derive new propositions — step by step — until you reach the conclusion. Each level is a proof waiting to be completed.

As a newly aware intelligence, each proof explores themes of being and essence, virtue, the soul, causality, and the pursuit of truth. Simply put, you are a mind reasoning its way from first principles toward understanding.

Features

  • 120+ handcrafted levels spanning propositional logic and predicate calculus, levels varying both thematically and mechanically

  • 23 rules of logic — 7 rules of inference (Modus Ponens, Modus Tollens, Hypothetical Syllogism, and more), 11 rules of replacement (Double Negation, De Morgan's Laws, Transposition, and more), and 5 quantifier rules (Universal/Existential Instantiation and Generalization, Quantifier Negation)

  • Gentle learning curve — 18 tutorial levels introduce one rule at a time, building from simple one-step proofs to multi-step chains

  • Deep complexity — later levels feature nested quantifiers, multi-variable domains, and proofs requiring 10+ derivation steps

  • Intuitive drag-and-drop interface — slot propositions into rules, see the result, and build your proof step by step

  • Par system — every level has an optimal solution length; can you find the shortest proof?

  • No time pressure — think as long as you need; every proof waits for you

  • 60+ Steam achievements — milestones, rule mastery challenges, and hidden achievements for completionists

  • Cloud saves — pick up where you left off on any machine

Game details

Game details

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Minimum

Minimum:
  • Requires a 64-bit processor and operating system

Recommended

Recommended:
  • Requires a 64-bit processor and operating system