diff --git a/shared/dataflow/codeql/dataflow/test/ProvenancePathGraph.qll b/shared/dataflow/codeql/dataflow/test/ProvenancePathGraph.qll
index 25ae20f184ca..dcb18445631f 100644
--- a/shared/dataflow/codeql/dataflow/test/ProvenancePathGraph.qll
+++ b/shared/dataflow/codeql/dataflow/test/ProvenancePathGraph.qll
@@ -26,15 +26,36 @@ private module TranslateModels<
     )
   }
 
-  private predicate rankedMadIds(string madId, int r) {
-    madId = rank[r](string madId0 | madIds(madId0) | madId0 order by madId0.toInt())
+  private QlBuiltins::ExtensionId getModelId(string model) {
+    madIds(result.toString()) and
+    interpretModelForTest(result, model)
+  }
+
+  // collapse models with the same textual representation, in order to not rely
+  // on the order of `ExtensionId`s
+  private module ExtensionIdSets =
+    QlBuiltins::InternSets<string, QlBuiltins::ExtensionId, getModelId/1>;
+
+  private predicate rankedMadIds(ExtensionIdSets::Set extIdSet, int r) {
+    extIdSet =
+      rank[r](ExtensionIdSets::Set extIdSet0, string model |
+        extIdSet0 = ExtensionIdSets::getSet(model)
+      |
+        extIdSet0 order by model
+      )
+  }
+
+  private predicate translateModel(string id, int r) {
+    exists(QlBuiltins::ExtensionId madId, ExtensionIdSets::Set extIdSet |
+      id = madId.toString() and
+      extIdSet.contains(madId) and
+      rankedMadIds(extIdSet, r)
+    )
   }
 
   /** Lists the renumbered and pretty-printed models used in the edges relation. */
   predicate models(int r, string model) {
-    exists(QlBuiltins::ExtensionId madId |
-      rankedMadIds(madId.toString(), r) and interpretModelForTest(madId, model)
-    )
+    exists(string madId | translateModel(madId, r) and getModelId(model).toString() = madId)
   }
 
   private predicate translateModelsPart(string model1, string model2, int i) {
@@ -46,7 +67,7 @@ private module TranslateModels<
         translateModelsPart(model1, part, i - 1) and
         madId = s.regexpCapture("([0-9]*)(.*)", 1) and
         rest = s.regexpCapture("([0-9]*)(.*)", 2) and
-        rankedMadIds(madId, r) and
+        translateModel(madId, r) and
         model2 = part + "MaD:" + r + rest
       )
     )
@@ -102,17 +123,6 @@ module TestPostProcessing {
 
     private module Models = TranslateModels<interpretModelForTest/2, provenance/1>;
 
-    private newtype TModelRow = TMkModelRow(int r, string model) { Models::models(r, model) }
-
-    private predicate rankedModels(int i, int r, string model) {
-      TMkModelRow(r, model) =
-        rank[i](TModelRow row, int r0, string model0 |
-          row = TMkModelRow(r0, model0)
-        |
-          row order by r0, model0
-        )
-    }
-
     query predicate results(string relation, int row, int column, string data) {
       queryResults(relation, row, column, data) and
       (relation != "edges" or column != provenanceColumn())
@@ -124,11 +134,11 @@ module TestPostProcessing {
         Models::translateModels(model, data)
       )
       or
-      exists(int r, string model |
+      exists(string model |
         relation = "models" and
-        rankedModels(row, r, model)
+        Models::models(row, model)
       |
-        column = 0 and data = r.toString()
+        column = 0 and data = row.toString()
         or
         column = 1 and data = model
       )