/* * 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 resolution.h /// @brief Binary resolution and factoring inference rules. #include "atp/core/clause.h" #include "atp/core/term_bank.h" #include "atp/infer/unification.h" #include #include namespace atp { /// Attempt binary resolution between two clauses on the specified literal indices. /// @return The resolvent clause if resolution succeeds, std::nullopt otherwise. std::optional resolve(TermBank& bank, const Clause& c1, size_t lit_idx1, const Clause& c2, size_t lit_idx2, const UnificationConfig& uconfig = {}); /// Generate all possible resolvents between two clauses. std::vector allResolvents(TermBank& bank, const Clause& c1, const Clause& c2, const UnificationConfig& uconfig = {}); /// Attempt factoring on a single clause (merge two unifiable literals). std::vector factor(TermBank& bank, const Clause& c, const UnificationConfig& uconfig = {}); /// Rename all variables in a clause to fresh ones, avoiding conflicts /// with variables already in the bank. Clause renameVariables(const Clause& c, TermBank& bank, SymbolTable& symbols, uint32_t& next_var_id); } // namespace atp