diff --git a/libsolidity/formal/SMTEncoder.cpp b/libsolidity/formal/SMTEncoder.cpp
index 8f22ab824..818efac5c 100644
--- a/libsolidity/formal/SMTEncoder.cpp
+++ b/libsolidity/formal/SMTEncoder.cpp
@@ -2839,7 +2839,8 @@ smtutil::Expression SMTEncoder::contractAddressValue(FunctionCall const& _f)
 
 VariableDeclaration const* SMTEncoder::publicGetter(Expression const& _expr) const {
 	if (auto memberAccess = dynamic_cast<MemberAccess const*>(&_expr))
-		return dynamic_cast<VariableDeclaration const*>(memberAccess->annotation().referencedDeclaration);
+		if (auto variableDeclaration = dynamic_cast<VariableDeclaration const*>(memberAccess->annotation().referencedDeclaration))
+			return variableDeclaration->isStateVariable() ? variableDeclaration : nullptr;
 	return nullptr;
 }
 
diff --git a/test/libsolidity/smtCheckerTests/types/struct/struct_external_function_pointer.sol b/test/libsolidity/smtCheckerTests/types/struct/struct_external_function_pointer.sol
new file mode 100644
index 000000000..494d2dcf2
--- /dev/null
+++ b/test/libsolidity/smtCheckerTests/types/struct/struct_external_function_pointer.sol
@@ -0,0 +1,33 @@
+struct S {
+    function() external returns (uint) x;
+}
+contract C {
+
+    function X() public pure returns (uint) {
+        return 1;
+    }
+
+    uint y;
+    uint z;
+
+    function setZ(uint _z) public {
+        z = _z;
+    }
+
+
+    function f() public returns (uint) {
+        S memory s;
+        s.x = this.X;
+        require(y == 0);
+        require(z == 0);
+        uint ret = s.x();
+        assert(y == 0); // should hold
+        assert(z == 0); // can report violation due to overapproximation after externall call s.x()
+        return ret;
+    }
+}
+
+
+// ----
+// Warning 6328: (431-445): CHC: Assertion violation happens here.
+// Info 1391: CHC: 1 verification condition(s) proved safe! Enable the model checker option "show proved safe" to see all of them.