diff --git a/java/java-psi-impl/src/com/intellij/psi/impl/source/resolve/graphInference/InferenceSession.java b/java/java-psi-impl/src/com/intellij/psi/impl/source/resolve/graphInference/InferenceSession.java
index b8abab6bc997..ff63763de91c 100644
--- a/java/java-psi-impl/src/com/intellij/psi/impl/source/resolve/graphInference/InferenceSession.java
+++ b/java/java-psi-impl/src/com/intellij/psi/impl/source/resolve/graphInference/InferenceSession.java
@@ -788,6 +788,25 @@ public class InferenceSession {
   }
 
   private boolean proceedWithAdditionalConstraints(Set<ConstraintFormula> additionalConstraints) {
+    final Set<InferenceVariable> mentionedVars = new HashSet<InferenceVariable>();
+    for (ConstraintFormula constraint : additionalConstraints) {
+      if (constraint instanceof InputOutputConstraintFormula) {
+        final Set<InferenceVariable> inputVariables = ((InputOutputConstraintFormula)constraint).getInputVariables(this);
+        if (inputVariables != null) {
+          mentionedVars.addAll(inputVariables);
+        }
+        final Set<InferenceVariable> outputVariables = ((InputOutputConstraintFormula)constraint).getOutputVariables(inputVariables, this);
+        if (outputVariables != null) {
+          mentionedVars.addAll(outputVariables);
+        }
+      }
+    }
+
+    final Set<InferenceVariable> readyVariables = new LinkedHashSet<InferenceVariable>(myInferenceVariables.values());
+    readyVariables.removeAll(mentionedVars);
+
+    final PsiSubstitutor siteSubstitutor = resolveBounds(readyVariables, mySiteSubstitutor);
+
     while (!additionalConstraints.isEmpty()) {
       //extract subset of constraints
       final Set<ConstraintFormula> subset = buildSubset(additionalConstraints);
@@ -804,7 +823,7 @@ public class InferenceSession {
       }
 
       //resolve input variables
-      PsiSubstitutor substitutor = resolveSubset(varsToResolve, mySiteSubstitutor);
+      PsiSubstitutor substitutor = resolveSubset(varsToResolve, siteSubstitutor);
 
       if (substitutor == null) {
         return false;
diff --git a/java/java-tests/testData/codeInsight/daemonCodeAnalyzer/lambda/newLambda/AdditionalConstraintDependsOnNonMentionedVars.java b/java/java-tests/testData/codeInsight/daemonCodeAnalyzer/lambda/newLambda/AdditionalConstraintDependsOnNonMentionedVars.java
new file mode 100644
index 000000000000..9bf687c7e2a8
--- /dev/null
+++ b/java/java-tests/testData/codeInsight/daemonCodeAnalyzer/lambda/newLambda/AdditionalConstraintDependsOnNonMentionedVars.java
@@ -0,0 +1,13 @@
+import java.util.function.Function;
+
+abstract class Test {
+  abstract <T, A, R> Collector<T, A, R> create(Foo<A> foo, Function<A,R> fun);
+  abstract <Ts> Foo<Ts[]> toArray(Ts identity);
+
+  <Tf> Collector<Tf, ?, Tf> foo(Tf t) {
+    return create(toArray(t), a -> a[0]);
+  }
+
+  interface Collector<T1, A1, R1> {}
+  class Foo<D> {}
+}
diff --git a/java/java-tests/testSrc/com/intellij/codeInsight/daemon/lambda/NewLambdaHighlightingTest.java b/java/java-tests/testSrc/com/intellij/codeInsight/daemon/lambda/NewLambdaHighlightingTest.java
index 566cd7d1b4f3..3401e384ed3f 100644
--- a/java/java-tests/testSrc/com/intellij/codeInsight/daemon/lambda/NewLambdaHighlightingTest.java
+++ b/java/java-tests/testSrc/com/intellij/codeInsight/daemon/lambda/NewLambdaHighlightingTest.java
@@ -162,6 +162,10 @@ public class NewLambdaHighlightingTest extends LightDaemonAnalyzerTestCase {
     doTest();
   }
 
+  public void testAdditionalConstraintDependsOnNonMentionedVars() throws Exception {
+    doTest();
+  }
+
   private void doTest() {
     doTest(false);
   }