diff --git a/jetCheck/src/jetCheck/ScenarioImpl.java b/jetCheck/src/jetCheck/ScenarioImpl.java
index f37c6c17d0f5..0dbea7d824e4 100644
--- a/jetCheck/src/jetCheck/ScenarioImpl.java
+++ b/jetCheck/src/jetCheck/ScenarioImpl.java
@@ -50,17 +50,26 @@ class ScenarioImpl implements Scenario {
 
       @Override
       public void executeCommands(IntDistribution count, Generator<? extends ImperativeCommand> cmdGen) {
-        data.generate(Generator.listsOf(count, innerCommands(cmdGen)));
+        innerCommandLists(Generator.listsOf(count, innerCommands(cmdGen)));
       }
 
       @Override
       public void executeCommands(Generator<? extends ImperativeCommand> cmdGen) {
-        data.generate(Generator.nonEmptyLists(innerCommands(cmdGen)));
+        innerCommandLists(Generator.nonEmptyLists(innerCommands(cmdGen)));
+      }
+
+      private void innerCommandLists(final Generator<List<Object>> listGen) {
+        data.generate(Generator.from(new EquivalentGenerator<List<Object>>() {
+          @Override
+          public List<Object> apply(DataStructure data) {
+            return listGen.getGeneratorFunction().apply(data);
+          }
+        }));
       }
 
       @NotNull
       private Generator<Object> innerCommands(Generator<? extends ImperativeCommand> cmdGen) {
-        return Generator.from(new Function<DataStructure, Object>() {
+        return Generator.from(new EquivalentGenerator<Object>() {
           @Override
           public Object apply(DataStructure cmdData) {
             List<Object> localLog = new ArrayList<>();
@@ -68,16 +77,6 @@ class ScenarioImpl implements Scenario {
             performCommand(safeGenerate(cmdData, cmdGen), cmdData, localLog);
             return null;
           }
-
-          @Override
-          public boolean equals(Object obj) {
-            return getClass() == obj.getClass(); // for recursive shrinking to work
-          }
-
-          @Override
-          public int hashCode() {
-            return getClass().hashCode();
-          }
         });
       }
     });
@@ -129,5 +128,18 @@ class ScenarioImpl implements Scenario {
     if (failure != null) throw new RuntimeException(failure);
     return true;
   }
+  
+  private static abstract class EquivalentGenerator<T> implements Function<DataStructure, T> {
+    @Override
+    public boolean equals(Object obj) {
+      return getClass() == obj.getClass(); // for recursive shrinking to work
+    }
+
+    @Override
+    public int hashCode() {
+      return getClass().hashCode();
+    }
+    
+  }
 
 }
diff --git a/jetCheck/src/jetCheck/StructureNode.java b/jetCheck/src/jetCheck/StructureNode.java
index 37f654336846..af04c1ec82a0 100644
--- a/jetCheck/src/jetCheck/StructureNode.java
+++ b/jetCheck/src/jetCheck/StructureNode.java
@@ -76,16 +76,18 @@ class StructureNode extends StructureElement {
   ShrinkStep shrinkChild(int index) {
     for (; index < children.size(); index++) {
       ShrinkStep childShrink = children.get(index).shrink();
-      if (childShrink != null) return shrinkNextChildAfter(index, childShrink);
+      if (childShrink != null) return wrapChildShrink(index, childShrink);
     }
     
     return shrinkRecursion();
   }
 
   @Nullable
-  private ShrinkStep shrinkNextChildAfter(int index, @Nullable ShrinkStep step) {
+  private ShrinkStep wrapChildShrink(int index, @Nullable ShrinkStep step) {
     if (step == null) return shrinkChild(index + 1);
-    
+
+    NodeId oldChild = children.get(index).id;
+
     return new ShrinkStep() {
       @Nullable
       @Override
@@ -97,12 +99,16 @@ class StructureNode extends StructureElement {
       ShrinkStep onSuccess(StructureNode smallerRoot) {
         StructureNode inheritor = (StructureNode)Objects.requireNonNull(smallerRoot.findChildById(id));
         assert inheritor.children.size() == children.size();
-        return inheritor.shrinkNextChildAfter(index, step.onSuccess(smallerRoot));
+        if (inheritor.children.get(index).id != oldChild) {
+          return inheritor.shrink();
+        }
+        
+        return inheritor.wrapChildShrink(index, step.onSuccess(smallerRoot));
       }
 
       @Override
       ShrinkStep onFailure() {
-        return shrinkNextChildAfter(index, step.onFailure());
+        return wrapChildShrink(index, step.onFailure());
       }
     };
   }
diff --git a/jetCheck/test/jetCheck/StatefulGeneratorTest.java b/jetCheck/test/jetCheck/StatefulGeneratorTest.java
index e5a05ff7ca55..97156bf21802 100644
--- a/jetCheck/test/jetCheck/StatefulGeneratorTest.java
+++ b/jetCheck/test/jetCheck/StatefulGeneratorTest.java
@@ -33,27 +33,54 @@ public class StatefulGeneratorTest extends PropertyCheckerTestCase {
   public void testImperativeInsertDeleteCheckCommands() {
     Scenario minHistory = checkFalsified(ImperativeCommand.scenarios(() -> env -> {
       StringBuilder sb = new StringBuilder();
-      ImperativeCommand check = env1 -> {
-        env1.logMessage("check");
-        if (sb.indexOf("A") >= 0) throw new AssertionError();
-      };
-      env.executeCommands(recursive(rec -> {
-        ImperativeCommand group = env1 -> {
-          env1.logMessage("Group");
-          env1.executeCommands(rec);
-        };
-        return frequency(2, constant(group),
-                         3, sampledFrom(insertStringCmd(sb), deleteStringCmd(sb), check));
-      }));
-    }), Scenario::ensureSuccessful, 36).getMinimalCounterexample().getExampleValue();
+      env.executeCommands(withRecursion(insertStringCmd(sb), deleteStringCmd(sb), checkDoesNotContain(sb, "A")));
+    }), Scenario::ensureSuccessful, 42).getMinimalCounterexample().getExampleValue();
 
     assertEquals("commands:\n" +
-                 "  Group\n" +
-                 "    insert A at 0\n" +
-                 "    check", 
+                 "  insert A at 0\n" +
+                 "  check", 
                  minHistory.toString());
   }
 
+  public void testImperativeInsertReplaceDeleteCommands() {
+    Scenario minHistory = checkFalsified(ImperativeCommand.scenarios(() -> env -> {
+      StringBuilder sb = new StringBuilder();
+      ImperativeCommand replace = env1 -> {
+        if (sb.length() == 0) return;
+        int index = env1.generateValue(integers(0, sb.length() - 1), null);
+        char toReplace = env1.generateValue(asciiLetters().suchThat(c -> c != 'A'), "replace " + sb.charAt(index) + " with %s at " + index);
+        sb.setCharAt(index, toReplace);
+      };
+
+      env.executeCommands(withRecursion(insertStringCmd(sb), replace, deleteStringCmd(sb), checkDoesNotContain(sb, "A")));
+    }), Scenario::ensureSuccessful, 76).getMinimalCounterexample().getExampleValue();
+
+    assertEquals("commands:\n" +
+                 "  insert A at 0\n" +
+                 "  check",
+                 minHistory.toString());
+  }
+
+  @NotNull
+  private static Generator<ImperativeCommand> withRecursion(ImperativeCommand... commands) {
+    return recursive(rec -> {
+      ImperativeCommand group = env -> {
+        env.logMessage("Group");
+        env.executeCommands(rec);
+      };
+      return frequency(2, constant(group), 3, sampledFrom(commands));
+    });
+  }
+
+  @SuppressWarnings("SameParameterValue")
+  @NotNull
+  private static ImperativeCommand checkDoesNotContain(StringBuilder sb, String infix) {
+    return env -> {
+      env.logMessage("check");
+      if (sb.indexOf(infix) >= 0) throw new AssertionError();
+    };
+  }
+
   @NotNull
   private static ImperativeCommand insertStringCmd(StringBuilder sb) {
     return env -> {