/* * richard-atp-engine: A saturation-based automated theorem prover for first-order logic. * Copyright (C) 2026 Richard Qin * * This program is free software: you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation, either version 3 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program. If not, see . */ #pragma once /// @file prover.h /// @brief The Given Clause Loop — main saturation-based proof search. /// /// V1: Uses a simple ProverConfig with hardcoded resolution + factoring. /// V2: Will be refactored to accept a Calculus object from strategy/ module /// for dynamic algorithm loading per problem type. #include "atp/core/clause.h" #include "atp/core/clause_store.h" #include "atp/core/term_bank.h" #include "atp/search/clause_queue.h" #include #include #include namespace atp { /// Result of a proof attempt. enum class ProverResult : uint8_t { kTheorem, ///< Empty clause derived — conjecture is a theorem kSaturation, ///< Search space saturated — cannot prove kTimeout, ///< Resource limit exceeded }; /// V1 configuration — simple and direct. /// Future: replaced by strategy::Calculus for dynamic rule loading. struct ProverConfig { ClauseComparator comparator_ = bfsCompare; size_t max_clauses_ = 100000; ///< Safety limit size_t max_iterations_ = 500000; ///< Safety limit bool enable_occurs_check_ = false; }; /// Main prover class implementing the Given Clause Loop. /// V1: hardcodes resolution + factoring + subsumption. /// V2: will accept a Calculus object for pluggable inference rules. class Prover { public: Prover(TermBank& bank, ClauseStore& store, ProverConfig config = {}); /// Add initial clauses (axioms + negated conjecture). void addClauses(std::vector clauses); /// Run the proof search. ProverResult prove(); /// After a successful proof, retrieve the empty clause ID. [[nodiscard]] std::optional getEmptyClauseId() const; /// Access the underlying clause store. [[nodiscard]] const ClauseStore& clauseStore() const { return store_; } private: [[nodiscard]] bool hitResourceLimit(size_t iterations) const; [[nodiscard]] Clause popGivenClause(); [[nodiscard]] bool isForwardSubsumedByProcessed(const Clause& clause) const; [[nodiscard]] bool shouldSkipGiven(const Clause& given) const; void applyBackwardSubsumption(const Clause& given); [[nodiscard]] std::vector generateNewClauses(const Clause& given) const; [[nodiscard]] uint16_t computeDepth(const Clause& clause) const; [[nodiscard]] std::optional processNewClauses(std::vector new_clauses); TermBank& bank_; ClauseStore& store_; ProverConfig config_; std::priority_queue, ClauseComparator> unprocessed_; std::vector processed_; std::optional empty_clause_id_; }; } // namespace atp