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Use Vampire to resolve almost all unknown implications (without proof) #206

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merged 3 commits into from
Oct 2, 2024

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Command-Master
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@Command-Master Command-Master commented Oct 2, 2024

Use the Vampire ATP to prove/disprove many implications, transitively resolving almost all implications.
More work is needed to produce Lean proofs for the results, which are currently marked conjecture. After this, the statistics are:
explicit_proof_true: 23109
implicit_proof_true: 5295922
explicit_conjecture_true: 38949
implicit_conjecture_true: 1223057
unknown: 7999
implicit_conjecture_false: 1540725
explicit_conjecture_false: 79635
implicit_proof_false: 12994633
explicit_proof_false: 829607

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teorth commented Oct 2, 2024

Wow, 7999 remaining is far better than I expected! (And is this excluding equivalences?) I'll merge for now due to the outstanding interest, but do consider adding a chapter to the blueprint describing the methodology and results.

@teorth teorth merged commit 528eb75 into teorth:main Oct 2, 2024
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Command-Master added a commit to Command-Master/equational_theories that referenced this pull request Oct 3, 2024
@Command-Master Command-Master mentioned this pull request Oct 3, 2024
teorth pushed a commit that referenced this pull request Oct 3, 2024
* Revert #206

* Revert
lyphyser pushed a commit to lyphyser/equational_theories that referenced this pull request Oct 3, 2024
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2 participants