diff --git a/samples/lambdacalc/languages/sample.lambdacalc/models/sample.lambdacalc.types.mps b/samples/lambdacalc/languages/sample.lambdacalc/models/sample.lambdacalc.types.mps
index 2c7cd057..1bb8e2b1 100644
--- a/samples/lambdacalc/languages/sample.lambdacalc/models/sample.lambdacalc.types.mps
+++ b/samples/lambdacalc/languages/sample.lambdacalc/models/sample.lambdacalc.types.mps
@@ -2,7 +2,7 @@
 <model ref="r:d628db6e-191f-4c0f-a802-15ad423aa41e(sample.lambdacalc.types)">
   <persistence version="9" />
   <languages>
-    <use id="c4803b19-6d89-4a3b-bf82-390769514add" name="jetbrains.mps.lang.typesystem2" version="13" />
+    <use id="c4803b19-6d89-4a3b-bf82-390769514add" name="jetbrains.mps.lang.typesystem2" version="14" />
     <use id="7866978e-a0f0-4cc7-81bc-4d213d9375e1" name="jetbrains.mps.lang.smodel" version="11" />
     <use id="af858d84-85f2-42f4-a854-0b3c6b5cd482" name="sample.lambdacalc" version="0" />
     <use id="ed6d7656-532c-4bc2-81d1-af945aeb8280" name="jetbrains.mps.baseLanguage.blTypes" version="0" />
@@ -301,7 +301,6 @@
         <child id="6928531011217290187" name="variable" index="2aLmnP" />
       </concept>
       <concept id="9035818301008609703" name="jetbrains.mps.lang.typesystem2.structure.QueryTemplate" flags="ng" index="2bWyPT">
-        <property id="7871500063866800656" name="stage" index="90Yma" />
         <child id="7871500063838282362" name="code" index="fHCRw" />
       </concept>
       <concept id="6958395084019752" name="jetbrains.mps.lang.typesystem2.structure.SNodeSetTypeOperation" flags="ng" index="2ra22R">
@@ -315,12 +314,10 @@
         <reference id="6691972578451990912" name="applicableConcept" index="2t_S0q" />
         <child id="6691972578451986151" name="input" index="2t_VXX" />
       </concept>
-      <concept id="8335224865066016388" name="jetbrains.mps.lang.typesystem2.structure.Rule" flags="ng" index="AVZhu" />
       <concept id="8335224865066015764" name="jetbrains.mps.lang.typesystem2.structure.Handler" flags="ng" index="AVZre">
-        <property id="2316688792951788157" name="stage" index="3J8TDj" />
         <reference id="3541122455446356437" name="extends" index="2YbDB9" />
         <child id="1980609059185345194" name="constraint" index="8PkJo" />
-        <child id="7368070394767441299" name="rule" index="3ArX_J" />
+        <child id="3575255234175157601" name="template" index="1nK1Vg" />
       </concept>
       <concept id="5524459797186715156" name="jetbrains.mps.lang.typesystem2.structure.CallMacroPseudoConstraint" flags="ng" index="B_ONY">
         <reference id="6086839168131376658" name="declaration" index="17QRF" />
@@ -333,8 +330,15 @@
         <child id="7670825977262355988" name="type" index="3eYSA1" />
       </concept>
       <concept id="3575255234174969639" name="jetbrains.mps.lang.typesystem2.structure.ConstraintRule" flags="ng" index="1nLNMm">
+        <child id="8456919074565751439" name="parameter" index="0UC6o" />
+        <child id="3575255234174969659" name="guard" index="1nLNMa" />
+        <child id="3575255234174969658" name="head" index="1nLNMb" />
         <child id="3575255234174969660" name="body" index="1nLNMd" />
       </concept>
+      <concept id="3575255234174969615" name="jetbrains.mps.lang.typesystem2.structure.RuleTemplate" flags="ng" index="1nLNMY">
+        <child id="3575255234174969633" name="input" index="1nLNMg" />
+        <child id="3575255234174969628" name="code" index="1nLNMH" />
+      </concept>
       <concept id="3575255234174969664" name="jetbrains.mps.lang.typesystem2.structure.ConstraintRuleStatement" flags="ng" index="1nLNNL">
         <child id="3575255234174969665" name="rule" index="1nLNNK" />
       </concept>
@@ -344,13 +348,6 @@
         <child id="8908809128801951592" name="code" index="3uniRr" />
       </concept>
       <concept id="8908809128801951597" name="jetbrains.mps.lang.typesystem2.structure.MacroBodyLogicalDeclaration" flags="ng" index="3uniRu" />
-      <concept id="5372587443975633709" name="jetbrains.mps.lang.typesystem2.structure.AbstractRule" flags="ng" index="3wqRzX">
-        <child id="8456919074560456757" name="parameter" index="0eVGy" />
-        <child id="7509376976631847095" name="input" index="20_v8_" />
-        <child id="1427485783571243167" name="guard" index="3oo59u" />
-        <child id="1427485783570316357" name="head" index="3orSU4" />
-        <child id="1427485783571962463" name="body" index="3otmyu" />
-      </concept>
       <concept id="5372587443968979218" name="jetbrains.mps.lang.typesystem2.structure.ExpressionConstraint" flags="ng" index="3wWvb2">
         <child id="5372587443968983820" name="expression" index="3wWo3s" />
       </concept>
@@ -512,114 +509,139 @@
         <property role="TrG5h" value="type" />
       </node>
     </node>
-    <node concept="AVZhu" id="492bFERogfi" role="3ArX_J">
+    <node concept="1nLNMY" id="6$MtiK8IMVn" role="1nK1Vg">
       <property role="TrG5h" value="typeOf_TrueConst" />
-      <node concept="3Aq9E8" id="492bFERognK" role="3otmyu">
-        <node concept="3I6sU6" id="Cn$NxdZf0d" role="3Ip0Jz">
-          <node concept="3I6s7M" id="Cn$NxdZf0e" role="3I6sU7">
-            <node concept="B_ONY" id="4dPZ2m2iQw_" role="3I6s78">
-              <ref role="17QRF" node="492bFERodOY" resolve="Bool" />
-              <node concept="a7P8L" id="4dPZ2m2iQwV" role="B_OMz">
-                <ref role="a7OzE" node="492bFERognP" resolve="T" />
-              </node>
-            </node>
-          </node>
-          <node concept="3I6s7M" id="Cn$NxdZf0f" role="3I6sU7">
-            <node concept="3Aqt3T" id="4KALGUEh0aV" role="3I6s78">
-              <ref role="3AqCNq" node="4KALGUEgLbG" resolve="typeOf" />
-              <node concept="3BlFb$" id="4KALGUEh0aS" role="3AunhB">
-                <node concept="3A2sRY" id="4KALGUEh0aT" role="3BlFb_">
-                  <ref role="3A2yKK" node="492bFERogn9" resolve="trueConst" />
+      <node concept="3clFbS" id="6$MtiK8IMVo" role="1nLNMH">
+        <node concept="1nLNNL" id="6$MtiK8IMVp" role="3cqZAp">
+          <node concept="1nLNMm" id="6$MtiK8IMVq" role="1nLNNK">
+            <node concept="0eUR_" id="6K6UrSyHVKb" role="0UC6o">
+              <node concept="3NuqgR" id="492bFERognO" role="0eVf_">
+                <node concept="aZer4" id="492bFERognP" role="3XD1gS">
+                  <property role="TrG5h" value="T" />
                 </node>
               </node>
-              <node concept="a7P8L" id="4KALGUEh0aU" role="3AunhB">
-                <ref role="a7OzE" node="492bFERognP" resolve="T" />
+            </node>
+            <node concept="3Aq9E8" id="492bFERognK" role="1nLNMd">
+              <node concept="3I6sU6" id="Cn$NxdZf0d" role="3Ip0Jz">
+                <node concept="3I6s7M" id="Cn$NxdZf0e" role="3I6sU7">
+                  <node concept="B_ONY" id="4dPZ2m2iQw_" role="3I6s78">
+                    <ref role="17QRF" node="492bFERodOY" resolve="Bool" />
+                    <node concept="a7P8L" id="4dPZ2m2iQwV" role="B_OMz">
+                      <ref role="a7OzE" node="492bFERognP" resolve="T" />
+                    </node>
+                  </node>
+                </node>
+                <node concept="3I6s7M" id="Cn$NxdZf0f" role="3I6sU7">
+                  <node concept="3Aqt3T" id="4KALGUEh0aV" role="3I6s78">
+                    <ref role="3AqCNq" node="4KALGUEgLbG" resolve="typeOf" />
+                    <node concept="3BlFb$" id="4KALGUEh0aS" role="3AunhB">
+                      <node concept="3A2sRY" id="4KALGUEh0aT" role="3BlFb_">
+                        <ref role="3A2yKK" node="492bFERogn9" resolve="trueConst" />
+                      </node>
+                    </node>
+                    <node concept="a7P8L" id="4KALGUEh0aU" role="3AunhB">
+                      <ref role="a7OzE" node="492bFERognP" resolve="T" />
+                    </node>
+                  </node>
+                </node>
               </node>
             </node>
           </node>
         </node>
       </node>
-      <node concept="2t___k" id="492bFERogn8" role="20_v8_">
+      <node concept="2t___k" id="492bFERogn8" role="1nLNMg">
         <ref role="2t_S0q" to="8tt8:492bFERognf" resolve="True" />
         <node concept="3A20r5" id="492bFERogn9" role="2t_VXX">
           <property role="TrG5h" value="trueConst" />
         </node>
       </node>
-      <node concept="0eUR_" id="6K6UrSyHVKb" role="0eVGy">
-        <node concept="3NuqgR" id="492bFERognO" role="0eVf_">
-          <node concept="aZer4" id="492bFERognP" role="3XD1gS">
-            <property role="TrG5h" value="T" />
-          </node>
-        </node>
-      </node>
     </node>
-    <node concept="AVZhu" id="492bFERojTR" role="3ArX_J">
+    <node concept="1nLNMY" id="6$MtiK8IMVr" role="1nK1Vg">
       <property role="TrG5h" value="typeOf_FalseConst" />
-      <node concept="3Aq9E8" id="492bFERojTS" role="3otmyu">
-        <node concept="3I6sU6" id="Cn$NxdZf0O" role="3Ip0Jz">
-          <node concept="3I6s7M" id="Cn$NxdZf0P" role="3I6sU7">
-            <node concept="B_ONY" id="4dPZ2m2iQxi" role="3I6s78">
-              <ref role="17QRF" node="492bFERodOY" resolve="Bool" />
-              <node concept="a7P8L" id="4dPZ2m2iQxj" role="B_OMz">
-                <ref role="a7OzE" node="492bFERojTU" resolve="T" />
-              </node>
-            </node>
-          </node>
-          <node concept="3I6s7M" id="Cn$NxdZf0Q" role="3I6sU7">
-            <node concept="3Aqt3T" id="4KALGUEh0aR" role="3I6s78">
-              <ref role="3AqCNq" node="4KALGUEgLbG" resolve="typeOf" />
-              <node concept="3BlFb$" id="4KALGUEh0aO" role="3AunhB">
-                <node concept="3A2sRY" id="4KALGUEh0aP" role="3BlFb_">
-                  <ref role="3A2yKK" node="492bFERojU5" resolve="falseConst" />
+      <node concept="3clFbS" id="6$MtiK8IMVs" role="1nLNMH">
+        <node concept="1nLNNL" id="6$MtiK8IMVt" role="3cqZAp">
+          <node concept="1nLNMm" id="6$MtiK8IMVu" role="1nLNNK">
+            <node concept="0eUR_" id="6K6UrSyHVKg" role="0UC6o">
+              <node concept="3NuqgR" id="492bFERojTT" role="0eVf_">
+                <node concept="aZer4" id="492bFERojTU" role="3XD1gS">
+                  <property role="TrG5h" value="T" />
                 </node>
               </node>
-              <node concept="a7P8L" id="4KALGUEh0aQ" role="3AunhB">
-                <ref role="a7OzE" node="492bFERojTU" resolve="T" />
+            </node>
+            <node concept="3Aq9E8" id="492bFERojTS" role="1nLNMd">
+              <node concept="3I6sU6" id="Cn$NxdZf0O" role="3Ip0Jz">
+                <node concept="3I6s7M" id="Cn$NxdZf0P" role="3I6sU7">
+                  <node concept="B_ONY" id="4dPZ2m2iQxi" role="3I6s78">
+                    <ref role="17QRF" node="492bFERodOY" resolve="Bool" />
+                    <node concept="a7P8L" id="4dPZ2m2iQxj" role="B_OMz">
+                      <ref role="a7OzE" node="492bFERojTU" resolve="T" />
+                    </node>
+                  </node>
+                </node>
+                <node concept="3I6s7M" id="Cn$NxdZf0Q" role="3I6sU7">
+                  <node concept="3Aqt3T" id="4KALGUEh0aR" role="3I6s78">
+                    <ref role="3AqCNq" node="4KALGUEgLbG" resolve="typeOf" />
+                    <node concept="3BlFb$" id="4KALGUEh0aO" role="3AunhB">
+                      <node concept="3A2sRY" id="4KALGUEh0aP" role="3BlFb_">
+                        <ref role="3A2yKK" node="492bFERojU5" resolve="falseConst" />
+                      </node>
+                    </node>
+                    <node concept="a7P8L" id="4KALGUEh0aQ" role="3AunhB">
+                      <ref role="a7OzE" node="492bFERojTU" resolve="T" />
+                    </node>
+                  </node>
+                </node>
               </node>
             </node>
           </node>
         </node>
       </node>
-      <node concept="2t___k" id="492bFERojU4" role="20_v8_">
+      <node concept="2t___k" id="492bFERojU4" role="1nLNMg">
         <ref role="2t_S0q" to="8tt8:492bFERojSn" resolve="False" />
         <node concept="3A20r5" id="492bFERojU5" role="2t_VXX">
           <property role="TrG5h" value="falseConst" />
         </node>
       </node>
-      <node concept="0eUR_" id="6K6UrSyHVKg" role="0eVGy">
-        <node concept="3NuqgR" id="492bFERojTT" role="0eVf_">
-          <node concept="aZer4" id="492bFERojTU" role="3XD1gS">
-            <property role="TrG5h" value="T" />
-          </node>
-        </node>
-      </node>
     </node>
-    <node concept="AVZhu" id="3dV5CmlMdve" role="3ArX_J">
+    <node concept="1nLNMY" id="6$MtiK8IMVv" role="1nK1Vg">
       <property role="TrG5h" value="typeOf_LamVarBind" />
-      <node concept="3Aq9E8" id="3dV5CmlMdwQ" role="3otmyu">
-        <node concept="3I6sU6" id="Cn$NxdZf1r" role="3Ip0Jz">
-          <node concept="3IrJb3" id="Cn$NxdZf1s" role="3I6sU7">
-            <node concept="3clFbS" id="3dV5CmlMdwR" role="3IrJb0">
-              <node concept="3SKdUt" id="3dV5CmlMdx4" role="3cqZAp">
-                <node concept="3SKdUq" id="3dV5CmlMdx5" role="3SKWNk">
-                  <property role="3SKdUp" value="T is free" />
+      <node concept="3clFbS" id="6$MtiK8IMVw" role="1nLNMH">
+        <node concept="1nLNNL" id="6$MtiK8IMVx" role="3cqZAp">
+          <node concept="1nLNMm" id="6$MtiK8IMVy" role="1nLNNK">
+            <node concept="0eUR_" id="6K6UrSyHVK9" role="0UC6o">
+              <node concept="3NuqgR" id="3dV5CmlMdwU" role="0eVf_">
+                <node concept="aZer4" id="3dV5CmlMdwV" role="3XD1gS">
+                  <property role="TrG5h" value="T" />
                 </node>
               </node>
-              <node concept="3Aqczg" id="3dV5CmlMdxk" role="3cqZAp">
-                <node concept="3Aqt3T" id="4KALGUEh0c3" role="3Aqpz8">
-                  <ref role="3AqCNq" node="4KALGUEgLbG" resolve="typeOf" />
-                  <node concept="3BlFb$" id="4KALGUEh0bY" role="3AunhB">
-                    <node concept="2OqwBi" id="4KALGUEh0bZ" role="3BlFb_">
-                      <node concept="3A2sRY" id="4KALGUEh0c0" role="2Oq$k0">
-                        <ref role="3A2yKK" node="3dV5CmlMdwE" resolve="lvb" />
-                      </node>
-                      <node concept="3TrEf2" id="4KALGUEh0c1" role="2OqNvi">
-                        <ref role="3Tt5mk" to="8tt8:7_8aRkgDGQj" resolve="var" />
+            </node>
+            <node concept="3Aq9E8" id="3dV5CmlMdwQ" role="1nLNMd">
+              <node concept="3I6sU6" id="Cn$NxdZf1r" role="3Ip0Jz">
+                <node concept="3IrJb3" id="Cn$NxdZf1s" role="3I6sU7">
+                  <node concept="3clFbS" id="3dV5CmlMdwR" role="3IrJb0">
+                    <node concept="3SKdUt" id="3dV5CmlMdx4" role="3cqZAp">
+                      <node concept="3SKdUq" id="3dV5CmlMdx5" role="3SKWNk">
+                        <property role="3SKdUp" value="T is free" />
+                      </node>
+                    </node>
+                    <node concept="3Aqczg" id="3dV5CmlMdxk" role="3cqZAp">
+                      <node concept="3Aqt3T" id="4KALGUEh0c3" role="3Aqpz8">
+                        <ref role="3AqCNq" node="4KALGUEgLbG" resolve="typeOf" />
+                        <node concept="3BlFb$" id="4KALGUEh0bY" role="3AunhB">
+                          <node concept="2OqwBi" id="4KALGUEh0bZ" role="3BlFb_">
+                            <node concept="3A2sRY" id="4KALGUEh0c0" role="2Oq$k0">
+                              <ref role="3A2yKK" node="3dV5CmlMdwE" resolve="lvb" />
+                            </node>
+                            <node concept="3TrEf2" id="4KALGUEh0c1" role="2OqNvi">
+                              <ref role="3Tt5mk" to="8tt8:7_8aRkgDGQj" resolve="var" />
+                            </node>
+                          </node>
+                        </node>
+                        <node concept="a7P8L" id="4KALGUEh0c2" role="3AunhB">
+                          <ref role="a7OzE" node="3dV5CmlMdwV" resolve="T" />
+                        </node>
                       </node>
                     </node>
-                  </node>
-                  <node concept="a7P8L" id="4KALGUEh0c2" role="3AunhB">
-                    <ref role="a7OzE" node="3dV5CmlMdwV" resolve="T" />
                   </node>
                 </node>
               </node>
@@ -627,513 +649,560 @@
           </node>
         </node>
       </node>
-      <node concept="2t___k" id="3dV5CmlMdwD" role="20_v8_">
+      <node concept="2t___k" id="3dV5CmlMdwD" role="1nLNMg">
         <ref role="2t_S0q" to="8tt8:7_8aRkgDGQi" resolve="LamVarBind" />
         <node concept="3A20r5" id="3dV5CmlMdwE" role="2t_VXX">
           <property role="TrG5h" value="lvb" />
         </node>
       </node>
-      <node concept="0eUR_" id="6K6UrSyHVK9" role="0eVGy">
-        <node concept="3NuqgR" id="3dV5CmlMdwU" role="0eVf_">
-          <node concept="aZer4" id="3dV5CmlMdwV" role="3XD1gS">
-            <property role="TrG5h" value="T" />
-          </node>
-        </node>
-      </node>
     </node>
-    <node concept="AVZhu" id="10BVPEVK4MV" role="3ArX_J">
+    <node concept="1nLNMY" id="6$MtiK8IMVz" role="1nK1Vg">
       <property role="TrG5h" value="typeOf_LetVarBind" />
-      <node concept="3Aq9E8" id="10BVPEVK64G" role="3otmyu">
-        <node concept="3I6sU6" id="10BVPEVK64H" role="3Ip0Jz">
-          <node concept="3I6s7M" id="6XR$k9E04nZ" role="3I6sU7">
-            <node concept="3Aqt3T" id="6XR$k9E04nX" role="3I6s78">
-              <ref role="3AqCNq" node="12dHl3ZCEwE" resolve="gen" />
-              <node concept="a7P8L" id="6XR$k9E04o9" role="3AunhB">
-                <ref role="a7OzE" node="6XR$k9E03vG" resolve="G" />
+      <node concept="3clFbS" id="6$MtiK8IMV$" role="1nLNMH">
+        <node concept="1nLNNL" id="6$MtiK8IMV_" role="3cqZAp">
+          <node concept="1nLNMm" id="6$MtiK8IMVA" role="1nLNNK">
+            <node concept="0eUR_" id="6K6UrSyHVK2" role="0UC6o">
+              <node concept="3NuqgR" id="6XR$k9E03vF" role="0eVf_">
+                <node concept="aZer4" id="6XR$k9E03vG" role="3XD1gS">
+                  <property role="TrG5h" value="G" />
+                </node>
               </node>
-              <node concept="a7P8L" id="6XR$k9E04og" role="3AunhB">
-                <ref role="a7OzE" node="10BVPEVK64u" resolve="E" />
+              <node concept="3NuqgR" id="10BVPEVK64t" role="0eVf_">
+                <node concept="aZer4" id="10BVPEVK64u" role="3XD1gS">
+                  <property role="TrG5h" value="E" />
+                </node>
               </node>
             </node>
-          </node>
-          <node concept="3I6s7M" id="10BVPEVK65K" role="3I6sU7">
-            <node concept="3Aqt3T" id="4KALGUEh0bt" role="3I6s78">
-              <ref role="3AqCNq" node="4KALGUEgLbG" resolve="typeOf" />
-              <node concept="3BlFb$" id="4KALGUEh0bo" role="3AunhB">
-                <node concept="2OqwBi" id="4KALGUEh0bp" role="3BlFb_">
-                  <node concept="3A2sRY" id="4KALGUEh0bq" role="2Oq$k0">
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+                          <ref role="3Tt5mk" to="8tt8:6_p$mL233YU" resolve="neg" />
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+                    <node concept="ns1u0" id="7VBaGntJSG_" role="3A8w4Q">
+                      <ref role="ns1xF" node="7VBaGntJSG0" resolve="Bool" />
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-                    <ref role="3Tt5mk" to="8tt8:6_p$mL233YU" resolve="neg" />
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+                <node concept="3I6s7M" id="6XR$k9E0jnH" role="3I6sU7">
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+                      <ref role="a7OzE" node="6_p$mL23gmM" resolve="P" />
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-                <ref role="a7OzE" node="6_p$mL23gn7" resolve="N" />
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+            <node concept="3Aq9E8" id="6_p$mL23rks" role="1nLNMd">
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+                      <node concept="3A2sRY" id="6K6UrSyIfPL" role="2Oq$k0">
+                        <ref role="3A2yKK" node="6_p$mL23fzC" resolve="ite" />
+                      </node>
+                      <node concept="2s7oft" id="6K6UrSyIgs7" role="2OqNvi">
+                        <property role="2s7ueQ" value="error" />
+                        <node concept="Xl_RD" id="6K6UrSyIgtz" role="2s7u9n">
+                          <property role="Xl_RC" value="mismatched type" />
+                        </node>
+                      </node>
+                    </node>
+                  </node>
+                </node>
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             </node>
           </node>
         </node>
       </node>
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-          </node>
-        </node>
-      </node>
     </node>
-    <node concept="AVZhu" id="1YCbHn1AJsC" role="3ArX_J">
+    <node concept="1nLNMY" id="6$MtiK8IMVV" role="1nK1Vg">
       <property role="TrG5h" value="typeOf_Fix" />
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-                <ref role="a7OzE" node="1YCbHn1AQkt" resolve="F" />
+      <node concept="3clFbS" id="6$MtiK8IMVW" role="1nLNMH">
+        <node concept="1nLNNL" id="6$MtiK8IMVX" role="3cqZAp">
+          <node concept="1nLNMm" id="6$MtiK8IMVY" role="1nLNNK">
+            <node concept="0eUR_" id="6K6UrSyHVKf" role="0UC6o">
+              <node concept="3NuqgR" id="1YCbHn1AKJS" role="0eVf_">
+                <node concept="aZer4" id="1YCbHn1AQkt" role="3XD1gS">
+                  <property role="TrG5h" value="F" />
+                </node>
+                <node concept="aZer4" id="1YCbHn1AKJT" role="3XD1gS">
+                  <property role="TrG5h" value="A" />
+                </node>
               </node>
-              <node concept="ns1u0" id="7VBaGntJSGD" role="3A8w4Q">
-                <ref role="ns1xF" node="7VBaGntJSG6" resolve="Forall" />
-                <node concept="nsMwS" id="7VBaGntJSGE" role="ns1xD">
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-                      <node concept="nsMwS" id="7VBaGntJSGz" role="ns1xD">
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-                        <node concept="1nq8_$" id="PoGdiA49Td" role="nsMwV">
-                          <node concept="ns1u0" id="7VBaGntJSGG" role="1nq8_t">
+            </node>
+            <node concept="3Aq9E8" id="1YCbHn1AJPl" role="1nLNMd">
+              <node concept="3I6sU6" id="1YCbHn1AJPm" role="3Ip0Jz">
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+                      <ref role="a7OzE" node="1YCbHn1AQkt" resolve="F" />
+                    </node>
+                    <node concept="ns1u0" id="7VBaGntJSGD" role="3A8w4Q">
+                      <ref role="ns1xF" node="7VBaGntJSG6" resolve="Forall" />
+                      <node concept="nsMwS" id="7VBaGntJSGE" role="ns1xD">
+                        <ref role="nsMwP" node="7VBaGntJSG8" resolve="type" />
+                        <node concept="1nq8_$" id="PoGdiA49Tk" role="nsMwV">
+                          <node concept="ns1u0" id="7VBaGntJSGy" role="1nq8_t">
                             <ref role="ns1xF" node="7VBaGntJSG2" resolve="Fun" />
-                            <node concept="nsMwS" id="7VBaGntJSGH" role="ns1xD">
+                            <node concept="nsMwS" id="7VBaGntJSGz" role="ns1xD">
                               <ref role="nsMwP" node="7VBaGntJSG4" resolve="arg" />
-                              <node concept="1nq8_$" id="PoGdiA49T0" role="nsMwV">
-                                <node concept="a7P8L" id="1YCbHn1AKKX" role="1nq8_t">
-                                  <ref role="a7OzE" node="1YCbHn1AKJT" resolve="A" />
+                              <node concept="1nq8_$" id="PoGdiA49Td" role="nsMwV">
+                                <node concept="ns1u0" id="7VBaGntJSGG" role="1nq8_t">
+                                  <ref role="ns1xF" node="7VBaGntJSG2" resolve="Fun" />
+                                  <node concept="nsMwS" id="7VBaGntJSGH" role="ns1xD">
+                                    <ref role="nsMwP" node="7VBaGntJSG4" resolve="arg" />
+                                    <node concept="1nq8_$" id="PoGdiA49T0" role="nsMwV">
+                                      <node concept="a7P8L" id="1YCbHn1AKKX" role="1nq8_t">
+                                        <ref role="a7OzE" node="1YCbHn1AKJT" resolve="A" />
+                                      </node>
+                                    </node>
+                                  </node>
+                                  <node concept="nsMwS" id="7VBaGntJSGI" role="ns1xD">
+                                    <ref role="nsMwP" node="7VBaGntJSG5" resolve="res" />
+                                    <node concept="1nq8_$" id="PoGdiA49T8" role="nsMwV">
+                                      <node concept="a7P8L" id="1YCbHn1AKU3" role="1nq8_t">
+                                        <ref role="a7OzE" node="1YCbHn1AKJT" resolve="A" />
+                                      </node>
+                                    </node>
+                                  </node>
                                 </node>
                               </node>
                             </node>
-                            <node concept="nsMwS" id="7VBaGntJSGI" role="ns1xD">
+                            <node concept="nsMwS" id="7VBaGntJSG$" role="ns1xD">
                               <ref role="nsMwP" node="7VBaGntJSG5" resolve="res" />
-                              <node concept="1nq8_$" id="PoGdiA49T8" role="nsMwV">
-                                <node concept="a7P8L" id="1YCbHn1AKU3" role="1nq8_t">
+                              <node concept="1nq8_$" id="PoGdiA49T1" role="nsMwV">
+                                <node concept="a7P8L" id="1YCbHn1AL1c" role="1nq8_t">
                                   <ref role="a7OzE" node="1YCbHn1AKJT" resolve="A" />
                                 </node>
                               </node>
@@ -1358,43 +1427,31 @@
                           </node>
                         </node>
                       </node>
-                      <node concept="nsMwS" id="7VBaGntJSG$" role="ns1xD">
-                        <ref role="nsMwP" node="7VBaGntJSG5" resolve="res" />
-                        <node concept="1nq8_$" id="PoGdiA49T1" role="nsMwV">
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-                          </node>
-                        </node>
-                      </node>
                     </node>
                   </node>
                 </node>
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-          <node concept="3I6s7M" id="1YCbHn1AKBE" role="3I6sU7">
-            <node concept="3Aqt3T" id="4KALGUEh0bj" role="3I6s78">
-              <ref role="3AqCNq" node="4KALGUEgLbG" resolve="typeOf" />
-              <node concept="3BlFb$" id="4KALGUEh0bg" role="3AunhB">
-                <node concept="3A2sRY" id="4KALGUEh0bh" role="3BlFb_">
-                  <ref role="3A2yKK" node="1YCbHn1AJ$P" resolve="fix" />
+                <node concept="3I6s7M" id="1YCbHn1AKBE" role="3I6sU7">
+                  <node concept="3Aqt3T" id="4KALGUEh0bj" role="3I6s78">
+                    <ref role="3AqCNq" node="4KALGUEgLbG" resolve="typeOf" />
+                    <node concept="3BlFb$" id="4KALGUEh0bg" role="3AunhB">
+                      <node concept="3A2sRY" id="4KALGUEh0bh" role="3BlFb_">
+                        <ref role="3A2yKK" node="1YCbHn1AJ$P" resolve="fix" />
+                      </node>
+                    </node>
+                    <node concept="a7P8L" id="4KALGUEh0bi" role="3AunhB">
+                      <ref role="a7OzE" node="1YCbHn1AQkt" resolve="F" />
+                    </node>
+                  </node>
                 </node>
               </node>
-              <node concept="a7P8L" id="4KALGUEh0bi" role="3AunhB">
-                <ref role="a7OzE" node="1YCbHn1AQkt" resolve="F" />
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-          <node concept="aZer4" id="1YCbHn1AKJT" role="3XD1gS">
-            <property role="TrG5h" value="A" />
-          </node>
+      <node concept="2t___k" id="1YCbHn1AJ$O" role="1nLNMg">
+        <ref role="2t_S0q" to="8tt8:1z4HGmnV7K8" resolve="Fix" />
+        <node concept="3A20r5" id="1YCbHn1AJ$P" role="2t_VXX">
+          <property role="TrG5h" value="fix" />
         </node>
       </node>
     </node>
@@ -1697,574 +1754,7 @@
   </node>
   <node concept="AVZre" id="4dPZ2m2i46N">
     <property role="TrG5h" value="recover" />
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     <ref role="2YbDB9" node="5dGkjBXlLmT" resolve="typeOf" />
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-              <node concept="a7P8L" id="4dPZ2m2jBnM" role="3AunhB">
-                <ref role="a7OzE" node="4dPZ2m2jBnq" resolve="Node" />
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-              <node concept="a7P8L" id="4dPZ2m2jBnS" role="3AunhB">
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@@ -2290,256 +1780,611 @@
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+      <node concept="3clFbS" id="6$MtiK8IMV0" role="1nLNMH">
+        <node concept="1nLNNL" id="6$MtiK8IMV1" role="3cqZAp">
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+                <node concept="aZer4" id="4dPZ2m2jBnq" role="3XD1gS">
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+            <node concept="3Aq93q" id="4dPZ2m2i6h9" role="1nLNMb">
+              <property role="3ArMco" value="false" />
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+                <node concept="3I6s7M" id="4dPZ2m2i6hn" role="3I6sU7">
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+                      <node concept="ns1u0" id="7VBaGntJSGA" role="1uarlW">
+                        <ref role="ns1xF" node="7VBaGntJSG2" resolve="Fun" />
+                        <node concept="nsMwS" id="7VBaGntJSGB" role="ns1xD">
+                          <ref role="nsMwP" node="7VBaGntJSG4" resolve="arg" />
+                          <node concept="1nq8_$" id="PoGdiA49T9" role="nsMwV">
+                            <node concept="a7P8L" id="4dPZ2m2i6jJ" role="1nq8_t">
+                              <ref role="a7OzE" node="4dPZ2m2i6iY" resolve="TypeArg" />
+                            </node>
+                          </node>
+                        </node>
+                        <node concept="nsMwS" id="7VBaGntJSGC" role="ns1xD">
+                          <ref role="nsMwP" node="7VBaGntJSG5" resolve="res" />
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+                              <ref role="a7OzE" node="4dPZ2m2i6ji" resolve="TypeRes" />
+                            </node>
+                          </node>
+                        </node>
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+                      <node concept="a7P8L" id="4dPZ2m2i6i3" role="1uarlU">
+                        <ref role="a7OzE" node="4dPZ2m2i6hI" resolve="Type" />
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+                </node>
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+                                      <ref role="a7OzE" node="4dPZ2m2i6rS" resolve="TypeArgNode" />
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+                                  </node>
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+                                <node concept="1$rogu" id="PoGdiA68Go" role="2OqNvi" />
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+                            </node>
+                          </node>
+                          <node concept="3P8Jbz" id="4dPZ2m2i6yC" role="1jz_f_">
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+                                      <ref role="a7OzE" node="4dPZ2m2i6s7" resolve="TypeResNode" />
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+                                  </node>
+                                </node>
+                                <node concept="1$rogu" id="PoGdiA68HD" role="2OqNvi" />
+                              </node>
+                            </node>
+                          </node>
+                        </node>
+                      </node>
+                    </node>
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+                </node>
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-            <property role="TrG5h" value="G" />
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-        </node>
-      </node>
     </node>
+    <node concept="1nLNMY" id="6$MtiK8IMVj" role="1nK1Vg">
+      <property role="TrG5h" value="recover_forall" />
+      <node concept="3clFbS" id="6$MtiK8IMVk" role="1nLNMH">
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+                <node concept="aZer4" id="RRVBbp7CE1" role="3XD1gS">
+                  <property role="TrG5h" value="Node" />
+                </node>
+              </node>
+              <node concept="3NuqgR" id="RRVBbp7CE0" role="0eVf_">
+                <node concept="aZer4" id="RRVBbp7CEa" role="3XD1gS">
+                  <property role="TrG5h" value="F" />
+                </node>
+                <node concept="aZer4" id="RRVBbp7KAm" role="3XD1gS">
+                  <property role="TrG5h" value="T" />
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+              </node>
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+                <node concept="aZer4" id="RRVBbp7DN3" role="3XD1gS">
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+                <node concept="3Tqbb2" id="PoGdiA56sg" role="3vLBG7" />
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+                        <node concept="nsMwS" id="7VBaGntJSGL" role="ns1xD">
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+                </node>
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+                      <node concept="2c44tf" id="PoGdiA68Ye" role="HKQng">
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+                          <node concept="1jz_8w" id="PoGdiA68Yg" role="3JbKvY">
+                            <node concept="2c44te" id="PoGdiA68Yh" role="lGtFl">
+                              <node concept="2OqwBi" id="PoGdiA68Yi" role="2c44t1">
+                                <node concept="1TmgYN" id="PoGdiA68Yj" role="2Oq$k0">
+                                  <node concept="1nq8_$" id="PoGdiA68Yk" role="1Tms7$">
+                                    <node concept="a7P8L" id="PoGdiA68Yl" role="1nq8_t">
+                                      <ref role="a7OzE" node="RRVBbp7DN3" resolve="TNode" />
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+                                  </node>
+                                </node>
+                                <node concept="1$rogu" id="PoGdiA68Ym" role="2OqNvi" />
+                              </node>
+                            </node>
+                          </node>
+                        </node>
+                      </node>
+                    </node>
+                  </node>
+                </node>
+              </node>
+            </node>
+          </node>
+        </node>
+      </node>
+    </node>
+  </node>
+  <node concept="AVZre" id="12dHl3ZCEwp">
+    <property role="TrG5h" value="forall" />
     <node concept="3AqmO8" id="12dHl3ZCEwE" role="8PkJo">
       <property role="TrG5h" value="gen" />
       <node concept="1zAUYm" id="12dHl3ZCEwY" role="1zAUyy">
@@ -2558,6 +2403,277 @@
         <property role="TrG5h" value="forall" />
       </node>
     </node>
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+          <node concept="1nLNMm" id="6$MtiK8IMUU" role="1nLNNK">
+            <node concept="0eUR_" id="6K6UrSyHVK3" role="0UC6o">
+              <node concept="3NuqgR" id="12dHl3ZCETB" role="0eVf_">
+                <node concept="aZer4" id="12dHl3ZCETR" role="3XD1gS">
+                  <property role="TrG5h" value="I" />
+                </node>
+                <node concept="aZer4" id="12dHl3ZCETC" role="3XD1gS">
+                  <property role="TrG5h" value="G" />
+                </node>
+                <node concept="aZer4" id="12dHl3ZCF13" role="3XD1gS">
+                  <property role="TrG5h" value="T" />
+                </node>
+              </node>
+              <node concept="3NuqgR" id="3Lj6UsgFwI_" role="0eVf_">
+                <node concept="aZer4" id="3Lj6UsgFwIA" role="3XD1gS">
+                  <property role="TrG5h" value="C" />
+                </node>
+              </node>
+            </node>
+            <node concept="3Aq93q" id="12dHl3ZCETi" role="1nLNMb">
+              <node concept="3I6sU6" id="12dHl3ZCETj" role="3Ip0Jz">
+                <node concept="3I6s7M" id="12dHl3ZCETw" role="3I6sU7">
+                  <node concept="3Aqt3T" id="12dHl3ZCETu" role="3I6s78">
+                    <ref role="3AqCNq" node="12dHl3ZCEx3" resolve="inst" />
+                    <node concept="a7P8L" id="12dHl3ZCEU5" role="3AunhB">
+                      <ref role="a7OzE" node="12dHl3ZCETR" resolve="I" />
+                    </node>
+                    <node concept="1HFMs5" id="7VBaGntJSCg" role="3AunhB">
+                      <node concept="ns1u0" id="7VBaGntJSGw" role="1uarlW">
+                        <ref role="ns1xF" node="7VBaGntJSG6" resolve="Forall" />
+                        <node concept="nsMwS" id="7VBaGntJSGx" role="ns1xD">
+                          <ref role="nsMwP" node="7VBaGntJSG8" resolve="type" />
+                          <node concept="1nq8_$" id="PoGdiA49Ti" role="nsMwV">
+                            <node concept="a7P8L" id="12dHl3ZCF2j" role="1nq8_t">
+                              <ref role="a7OzE" node="12dHl3ZCF13" resolve="T" />
+                            </node>
+                          </node>
+                        </node>
+                      </node>
+                      <node concept="a7P8L" id="12dHl3ZCETL" role="1uarlU">
+                        <ref role="a7OzE" node="12dHl3ZCETC" resolve="G" />
+                      </node>
+                    </node>
+                  </node>
+                </node>
+              </node>
+            </node>
+            <node concept="3Aq9_M" id="12dHl3ZCF38" role="1nLNMa">
+              <node concept="3I6sU6" id="12dHl3ZCF39" role="3Ip0Jz">
+                <node concept="3I6s7M" id="12dHl3ZCF3d" role="3I6sU7">
+                  <node concept="2aLmEc" id="12dHl3ZCF3c" role="3I6s78">
+                    <node concept="a7P8L" id="12dHl3ZCF3g" role="2aLmnP">
+                      <ref role="a7OzE" node="12dHl3ZCETR" resolve="I" />
+                    </node>
+                  </node>
+                </node>
+              </node>
+            </node>
+            <node concept="3Aq9E8" id="12dHl3ZCEXN" role="1nLNMd">
+              <node concept="3I6sU6" id="12dHl3ZCEXO" role="3Ip0Jz">
+                <node concept="3I6s7M" id="1aFIT7pz4qY" role="3I6sU7">
+                  <node concept="3GeI9q" id="1aFIT7pz4qS" role="3I6s78">
+                    <node concept="a7P8L" id="1aFIT7pz4xh" role="3GeI8F">
+                      <ref role="a7OzE" node="3Lj6UsgFwIA" resolve="C" />
+                    </node>
+                    <node concept="9KH4l" id="1aFIT7pz4yH" role="3GeI8D">
+                      <node concept="a7P8L" id="1aFIT7pz4yN" role="9KHbC">
+                        <ref role="a7OzE" node="12dHl3ZCF13" resolve="T" />
+                      </node>
+                    </node>
+                  </node>
+                </node>
+                <node concept="3I6s7M" id="12dHl3ZCF3n" role="3I6sU7">
+                  <node concept="3A8Hvi" id="12dHl3ZCF3k" role="3I6s78">
+                    <node concept="a7P8L" id="12dHl3ZCF3s" role="3A8wtg">
+                      <ref role="a7OzE" node="12dHl3ZCETR" resolve="I" />
+                    </node>
+                    <node concept="a7P8L" id="3Lj6UsgFx2a" role="3A8w4Q">
+                      <ref role="a7OzE" node="3Lj6UsgFwIA" resolve="C" />
+                    </node>
+                  </node>
+                </node>
+              </node>
+            </node>
+          </node>
+        </node>
+      </node>
+    </node>
+    <node concept="1nLNMY" id="6$MtiK8IMUV" role="1nK1Vg">
+      <property role="TrG5h" value="inst" />
+      <node concept="3clFbS" id="6$MtiK8IMUW" role="1nLNMH">
+        <node concept="1nLNNL" id="6$MtiK8IMUX" role="3cqZAp">
+          <node concept="1nLNMm" id="6$MtiK8IMUY" role="1nLNNK">
+            <node concept="0eUR_" id="6K6UrSyHVKc" role="0UC6o">
+              <node concept="3NuqgR" id="12dHl3ZCF6p" role="0eVf_">
+                <node concept="aZer4" id="12dHl3ZCF6q" role="3XD1gS">
+                  <property role="TrG5h" value="I" />
+                </node>
+                <node concept="aZer4" id="12dHl3ZCF6z" role="3XD1gS">
+                  <property role="TrG5h" value="G" />
+                </node>
+              </node>
+            </node>
+            <node concept="3Aq93q" id="12dHl3ZCF67" role="1nLNMb">
+              <node concept="3I6sU6" id="12dHl3ZCF68" role="3Ip0Jz">
+                <node concept="3I6s7M" id="12dHl3ZCF6l" role="3I6sU7">
+                  <node concept="3Aqt3T" id="12dHl3ZCF6j" role="3I6s78">
+                    <ref role="3AqCNq" node="12dHl3ZCEx3" resolve="inst" />
+                    <node concept="a7P8L" id="12dHl3ZCF6N" role="3AunhB">
+                      <ref role="a7OzE" node="12dHl3ZCF6q" resolve="I" />
+                    </node>
+                    <node concept="a7P8L" id="12dHl3ZCF6V" role="3AunhB">
+                      <ref role="a7OzE" node="12dHl3ZCF6z" resolve="G" />
+                    </node>
+                  </node>
+                </node>
+              </node>
+            </node>
+            <node concept="3Aq9_M" id="12dHl3ZCF71" role="1nLNMa">
+              <node concept="3I6sU6" id="12dHl3ZCF72" role="3Ip0Jz">
+                <node concept="3I6s7M" id="12dHl3ZCF76" role="3I6sU7">
+                  <node concept="2aLmEc" id="12dHl3ZCF75" role="3I6s78">
+                    <node concept="a7P8L" id="12dHl3ZCF79" role="2aLmnP">
+                      <ref role="a7OzE" node="12dHl3ZCF6q" resolve="I" />
+                    </node>
+                  </node>
+                </node>
+              </node>
+            </node>
+            <node concept="3Aq9E8" id="12dHl3ZCFa9" role="1nLNMd">
+              <node concept="3I6sU6" id="12dHl3ZCFaa" role="3Ip0Jz">
+                <node concept="3I6s7M" id="12dHl3ZCFag" role="3I6sU7">
+                  <node concept="3A8Hvi" id="12dHl3ZCFad" role="3I6s78">
+                    <node concept="a7P8L" id="12dHl3ZCFal" role="3A8wtg">
+                      <ref role="a7OzE" node="12dHl3ZCF6q" resolve="I" />
+                    </node>
+                    <node concept="a7P8L" id="12dHl3ZCFaq" role="3A8w4Q">
+                      <ref role="a7OzE" node="12dHl3ZCF6z" resolve="G" />
+                    </node>
+                  </node>
+                </node>
+              </node>
+            </node>
+          </node>
+        </node>
+      </node>
+    </node>
   </node>
   <node concept="ns1xd" id="7VBaGntJSFZ">
     <property role="TrG5h" value="terms" />
@@ -2592,7 +2708,6 @@
     <property role="TrG5h" value="Typecheck" />
     <node concept="2bWyPT" id="5Eb7bDWO9gE" role="92CTm">
       <property role="TrG5h" value="recover" />
-      <property role="90Yma" value="Stage2" />
       <node concept="3clFbS" id="5Eb7bDWO9gF" role="fHCRw">
         <node concept="1nLNNL" id="5Eb7bDWO9jS" role="3cqZAp">
           <node concept="1nLNMm" id="5Eb7bDWO9jT" role="1nLNNK">
diff --git a/samples/lambdacalc/languages/sample.lambdacalc/sample.lambdacalc.mpl b/samples/lambdacalc/languages/sample.lambdacalc/sample.lambdacalc.mpl
index 6bf006b2..58fa2914 100644
--- a/samples/lambdacalc/languages/sample.lambdacalc/sample.lambdacalc.mpl
+++ b/samples/lambdacalc/languages/sample.lambdacalc/sample.lambdacalc.mpl
@@ -57,7 +57,7 @@
     <language slang="l:b83431fe-5c8f-40bc-8a36-65e25f4dd253:jetbrains.mps.lang.textGen" version="1" />
     <language slang="l:9ded098b-ad6a-4657-bfd9-48636cfe8bc3:jetbrains.mps.lang.traceable" version="0" />
     <language slang="l:7a5dda62-9140-4668-ab76-d5ed1746f2b2:jetbrains.mps.lang.typesystem" version="1" />
-    <language slang="l:c4803b19-6d89-4a3b-bf82-390769514add:jetbrains.mps.lang.typesystem2" version="13" />
+    <language slang="l:c4803b19-6d89-4a3b-bf82-390769514add:jetbrains.mps.lang.typesystem2" version="14" />
     <language slang="l:35320f26-77cb-4c55-be9f-a97a27770af1:jetbrains.mps.logic" version="2" />
     <language slang="l:af858d84-85f2-42f4-a854-0b3c6b5cd482:sample.lambdacalc" version="0" />
   </languageVersions>