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SZSOntologies

BNF/SZSOntology.bnf is the source of truth for the three SZS ontologies. Everything else is derived from it or checked against it:

  • BNF/BNFLinker.sedscript turns it into the hyperlinked page published at https://tptpworld.github.io/SZSOntologies/ (rebuilt on every push to master).
  • SZS_Ontologies/ formalises the success ontology and derives its isa hierarchy from the definitions. It is the Archive of Formal Proofs entry, and is self-contained: it reads nothing outside its directory.
  • Check/SZS_BNF_Check.thy reads the BNF when it is processed and proves that the BNF's success part is that hierarchy, and that the no-success and dataform parts are well formed (one root, acyclic, every referenced nonterminal defined, one terminal per rule). It is a repository-only session on top of the entry.
  • Problems/ holds one TF0 and one TH0 problem per edge of the derived hierarchy, exported by SZS_Ontologies/SZS_Export.thy. Each conjecture is proved in Isabelle to state the edge's entailment.

CI builds both sessions on every push and pull request, checks that Problems/ equals the current export, and runs E, Vampire and Zipperposition on every problem. An edit to the BNF therefore fails CI until the formalisation accounts for it; for a new success value that means formalising its definition.

Building locally

isabelle build -D .

ROOTS lists both sessions, SZS_Ontologies and SZS_Check. The BNF is a declared dependency of SZS_Check, so a change to it triggers a rebuild. The theories never write into BNF/ or Problems/; the problems are session exports, materialised by

isabelle export -d . -p 1 -O Problems -x 'SZS_Ontologies.SZS_Export:T*/*' SZS_Ontologies

Without a local Isabelle, Containerfile provides the toolchain (Isabelle2025-2 with a prebuilt HOL heap):

podman build -t szs-isabelle -f Containerfile .
podman run --rm --userns=keep-id --user "$(id -u):$(id -g)" -v "$PWD:/work:ro,Z" szs-isabelle build -v -D /work

Licence

The theories in SZS_Ontologies/ and Check/ are BSD-3-Clause; everything else is CC BY 4.0.
See LICENSES/.

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