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diff --git a/proofsearch/include/atp/infer/resolution.h b/proofsearch/include/atp/infer/resolution.h
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+/*
+ * 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 <https://www.gnu.org/licenses/>.
+ */
+
+#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 <optional>
+#include <vector>
+
+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<Clause> 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<Clause> allResolvents(TermBank& bank, const Clause& c1, const Clause& c2,
+                                  const UnificationConfig& uconfig = {});
+
+/// Attempt factoring on a single clause (merge two unifiable literals).
+std::vector<Clause> 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