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diff --git a/proofsearch/src/simplify/subsumption.cc b/proofsearch/src/simplify/subsumption.cc
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+++ b/proofsearch/src/simplify/subsumption.cc
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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/>.
+ */
+
+#include "atp/simplify/subsumption.h"
+
+#include "atp/core/clause.h"
+
+namespace atp {
+
+bool subsumes(const Clause& general, const Clause& specific) {
+    if (general.size() > specific.size()) {
+        return false;
+    }
+    for (const auto& lit_g : general.literals_) {
+        bool found = false;
+        for (const auto& lit_s : specific.literals_) {
+            if (lit_g.atom_ == lit_s.atom_ && lit_g.is_positive_ == lit_s.is_positive_) {
+                found = true;
+                break;
+            }
+        }
+        if (!found) {
+            return false;
+        }
+    }
+    return true;
+}
+}  // namespace atp