O suporte do Gridview v7 para api mais antigo android.support.v7.widget.Gridlayout falhou ao instaniate

Eu tenho tentado usar a biblioteca de suporte v7 para usar um layout de grade no meu projeto android. Eu vi que muitas pessoas tiveram os mesmos problemas que eu estou tendo, mas todas as suas correções não funcionam para mim. Eu atualizei o java. Eu atualizei a última biblioteca de suporte. Eu adicionei o pacote de suporte ao caminho de construção. Eu tentei arrastar um gridview para uma visão e permitir que o eclipse importasse o pacote. Não destes trabalhos. Eu continuo a ficarandroid.support.v7.widget.GridLayout não conseguiu instanciar. Eu até criei um projeto de teste e comecei com o layout da grade de suporte e o mesmo erro. Alguém tem outras ideias? Estes são alguns lugares que eu procurei ajuda:

Eclipse dando um erro de android.support.v7.widget.GridLayout não conseguiu instanciar

IntelliJ e android.support.v7.widget.GridLayout

O Eclipse e o Android SL GridLayout não funcionam juntos - "android.support.v7.widget.GridLayout não pôde ser instanciado"

entre muitos outros ....

Aqui está o meu activity_main.xml:

 <?xml version="1.0" encoding="utf-8"?>
<android.support.v7.widget.GridLayout 
    xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    android:layout_width="fill_parent"
    android:layout_height="fill_parent"
    app:alignmentMode="alignBounds"
    app:columnCount="6"
    app:columnOrderPreserved="false"
    app:useDefaultMargins="true" >

    <EditText
        android:id="@+id/total"
        app:layout_column="0"
        app:layout_columnSpan="6"
        app:layout_gravity="left"
        app:layout_row="0"
        android:clickable="false"
        android:ems="10"
        android:inputType="none|number"
        android:textAlignment="textEnd"
        android:width="500dp" >

        <requestFocus />
    </EditText>

    <Button
        android:id="@+id/Button8"
        app:layout_column="1"
        app:layout_row="1"
        android:background="@drawable/button_light_grey"
        android:minHeight="40dip"
        android:minWidth="40dip"
        android:onClick="numberButtonEventHandler"
        android:text="8" />

    <Button
        android:id="@+id/Button9"
        app:layout_column="2"
        app:layout_row="1"
        android:background="@drawable/button_light_grey"
        android:minHeight="40dip"
        android:minWidth="40dip"
        android:onClick="numberButtonEventHandler"
        android:text="9" />

    <Button
        android:id="@+id/Button4"
        app:layout_column="0"
        app:layout_row="2"
        android:background="@drawable/button_light_grey"
        android:minHeight="40dip"
        android:minWidth="40dip"
        android:onClick="numberButtonEventHandler"
        android:text="4" />

    <Button
        android:id="@+id/Button5"
        app:layout_column="1"
        app:layout_row="2"
        android:background="@drawable/button_light_grey"
        android:minHeight="40dip"
        android:minWidth="40dip"
        android:onClick="numberButtonEventHandler"
        android:text="5" />

    <Button
        android:id="@+id/Button6"
        app:layout_column="2"
        app:layout_row="2"
        android:background="@drawable/button_light_grey"
        android:minHeight="40dip"
        android:minWidth="40dip"
        android:onClick="numberButtonEventHandler"
        android:text="6" />

    <Button
        android:id="@+id/ButtonMultiply"
        app:layout_column="3"
        app:layout_row="2"
        android:background="@drawable/custom_button"
        android:minHeight="40dip"
        android:minWidth="40dip"
        android:onClick="Multiply"
        android:text="*"
        android:textColor="@color/light_grey" />

    <Button
        android:id="@+id/Button1"
        app:layout_column="0"
        app:layout_row="3"
        android:background="@drawable/button_light_grey"
        android:minHeight="40dip"
        android:minWidth="40dip"
        android:onClick="numberButtonEventHandler"
        android:text="1" />

    <Button
        android:id="@+id/Button2"
        app:layout_column="1"
        app:layout_row="3"
        android:background="@drawable/button_light_grey"
        android:minHeight="40dip"
        android:minWidth="40dip"
        android:onClick="numberButtonEventHandler"
        android:text="2" />

    <Button
        android:id="@+id/Button3"
        app:layout_column="2"
        app:layout_row="3"
        android:background="@drawable/button_light_grey"
        android:minHeight="40dip"
        android:minWidth="40dip"
        android:onClick="numberButtonEventHandler"
        android:text="3" />

    <Button
        android:id="@+id/ButtonMinus"
        app:layout_column="3"
        app:layout_row="3"

        android:background="@drawable/custom_button"
        android:minHeight="40dip"
        android:minWidth="40dip"
        android:onClick="Subtract"
        android:text="-"
        android:textColor="@color/light_grey" />

    <Button
        android:id="@+id/ButtonDivide"
        app:layout_column="3"
        app:layout_gravity="right"
        app:layout_row="1"
        app:layout_rowSpan="2"
        android:background="@drawable/custom_button"
        android:minHeight="40dip"
        android:minWidth="40dip"
        android:onClick="Divide"
        android:text="/"
        android:textColor="@color/light_grey" />

    <Button
        android:id="@+id/button0"
        app:layout_column="0"
        app:layout_columnSpan="2"
        app:layout_row="4"
        android:background="@drawable/button_light_grey"
        android:minHeight="20dp"
        android:minWidth="82dp"
        android:onClick="numberButtonEventHandler"
        android:text="0" />

    <Button
        android:id="@+id/buttonPoint"
        app:layout_column="2"
        app:layout_row="4"
        android:background="@drawable/button_light_grey"
        android:minHeight="20dip"
        android:minWidth="40dp"
        android:onClick="numberButtonEventHandler"
        android:text="."
        android:width="20dip" />

    <Button
        android:id="@+id/ButtonPlus"
        app:layout_column="3"
        app:layout_row="4"
        android:background="@drawable/custom_button"
        android:minHeight="40dip"
        android:minWidth="40dip"
        android:onClick="Add"
        android:text="+"
        android:textColor="@color/light_grey" />

    <Button
        android:id="@+id/ButtonEqueals"
        app:layout_column="4"
        app:layout_row="3"
        app:layout_rowSpan="2"
        android:background="@drawable/custom_button"
        android:height="40dp"
        android:minHeight="82dp"
        android:minWidth="20dp"
        android:onClick="Equeals"
        android:text="="
        android:textColor="@color/light_grey"
        android:width="40dp" />

    <Button
        android:id="@+id/Button7"
        app:layout_column="0"
        app:layout_row="1"
        android:background="@drawable/button_light_grey"
        android:minHeight="40dip"
        android:minWidth="40dip"
        android:onClick="numberButtonEventHandler"
        android:text="7" />



</android.support.v7.widget.GridLayout>

Este é um recorte da árvore do projeto mostrando bibliotecas referenciadas, dependências e libs, todas apontando para gridlayout v7: New Edit, solicitado a remover uma referência.

Esta é a exceção exata que recebo:

java.lang.ClassNotFoundException: android.support.v7.gridlayout.R$dimen
    at java.net.URLClassLoader$1.run(URLClassLoader.java:366)
    at java.net.URLClassLoader$1.run(URLClassLoader.java:355)
    at java.security.AccessController.doPrivileged(Native Method)
    at java.net.URLClassLoader.findClass(URLClassLoader.java:354)
    at java.lang.ClassLoader.loadClass(ClassLoader.java:423)
    at java.lang.ClassLoader.loadClass(ClassLoader.java:356)
    at android.support.v7.widget.GridLayout.<init>(GridLayout.java:255)
    at android.support.v7.widget.GridLayout.<init>(GridLayout.java:274)
    at sun.reflect.NativeConstructorAccessorImpl.newInstance0(Native Method)
    at sun.reflect.NativeConstructorAccessorImpl.newInstance(NativeConstructorAccessorImpl.java:57)
    at sun.reflect.DelegatingConstructorAccessorImpl.newInstance(DelegatingConstructorAccessorImpl.java:45)
    at java.lang.reflect.Constructor.newInstance(Constructor.java:525)
    at com.android.ide.eclipse.adt.internal.editors.layout.ProjectCallback.instantiateClass(ProjectCallback.java:422)
    at com.android.ide.eclipse.adt.internal.editors.layout.ProjectCallback.loadView(ProjectCallback.java:179)
    at android.view.BridgeInflater.loadCustomView(BridgeInflater.java:207)
    at android.view.BridgeInflater.createViewFromTag(BridgeInflater.java:135)
    at android.view.LayoutInflater.inflate(LayoutInflater.java:466)
    at android.view.LayoutInflater.inflate(LayoutInflater.java:372)
    at com.android.layoutlib.bridge.impl.RenderSessionImpl.inflate(RenderSessionImpl.java:385)
    at com.android.layoutlib.bridge.Bridge.createSession(Bridge.java:332)
    at com.android.ide.common.rendering.LayoutLibrary.createSession(LayoutLibrary.java:325)
    at com.android.ide.eclipse.adt.internal.editors.layout.gle2.RenderService.createRenderSession(RenderService.java:440)
    at com.android.ide.eclipse.adt.internal.editors.layout.gle2.GraphicalEditorPart.renderWithBridge(GraphicalEditorPart.java:1545)
    at com.android.ide.eclipse.adt.internal.editors.layout.gle2.GraphicalEditorPart.recomputeLayout(GraphicalEditorPart.java:1302)
    at com.android.ide.eclipse.adt.internal.editors.layout.gle2.GraphicalEditorPart.activated(GraphicalEditorPart.java:1059)
    at com.android.ide.eclipse.adt.internal.editors.layout.LayoutEditorDelegate.delegatePageChange(LayoutEditorDelegate.java:686)
    at com.android.ide.eclipse.adt.internal.editors.common.CommonXmlEditor.pageChange(CommonXmlEditor.java:360)
    at org.eclipse.ui.part.MultiPageEditorPart$2.widgetSelected(MultiPageEditorPart.java:292)
    at org.eclipse.swt.widgets.TypedListener.handleEvent(TypedListener.java:248)
    at org.eclipse.swt.widgets.EventTable.sendEvent(EventTable.java:84)
    at org.eclipse.swt.widgets.Widget.sendEvent(Widget.java:1053)
    at org.eclipse.swt.widgets.Widget.sendEvent(Widget.java:1077)
    at org.eclipse.swt.widgets.Widget.sendEvent(Widget.java:1062)
    at org.eclipse.swt.widgets.Widget.notifyListeners(Widget.java:774)
    at org.eclipse.swt.custom.CTabFolder.setSelection(CTabFolder.java:3028)
    at org.eclipse.swt.custom.CTabFolder.onMouse(CTabFolder.java:1749)
    at org.eclipse.swt.custom.CTabFolder$1.handleEvent(CTabFolder.java:278)
    at org.eclipse.swt.widgets.EventTable.sendEvent(EventTable.java:84)
    at org.eclipse.swt.widgets.Widget.sendEvent(Widget.java:1053)
    at org.eclipse.swt.widgets.Display.runDeferredEvents(Display.java:4169)
    at org.eclipse.swt.widgets.Display.readAndDispatch(Display.java:3758)
    at org.eclipse.e4.ui.internal.workbench.swt.PartRenderingEngine$9.run(PartRenderingEngine.java:1053)
    at org.eclipse.core.databinding.observable.Realm.runWithDefault(Realm.java:332)
    at org.eclipse.e4.ui.internal.workbench.swt.PartRenderingEngine.run(PartRenderingEngine.java:942)
    at org.eclipse.e4.ui.internal.workbench.E4Workbench.createAndRunUI(E4Workbench.java:86)
    at org.eclipse.ui.internal.Workbench$5.run(Workbench.java:588)
    at org.eclipse.core.databinding.observable.Realm.runWithDefault(Realm.java:332)
    at org.eclipse.ui.internal.Workbench.createAndRunWorkbench(Workbench.java:543)
    at org.eclipse.ui.PlatformUI.createAndRunWorkbench(PlatformUI.java:149)
    at org.eclipse.ui.internal.ide.application.IDEApplication.start(IDEApplication.java:124)
    at org.eclipse.equinox.internal.app.EclipseAppHandle.run(EclipseAppHandle.java:196)
    at org.eclipse.core.runtime.internal.adaptor.EclipseAppLauncher.runApplication(EclipseAppLauncher.java:110)
    at org.eclipse.core.runtime.internal.adaptor.EclipseAppLauncher.start(EclipseAppLauncher.java:79)
    at org.eclipse.core.runtime.adaptor.EclipseStarter.run(EclipseStarter.java:353)
    at org.eclipse.core.runtime.adaptor.EclipseStarter.run(EclipseStarter.java:180)
    at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
    at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:57)
    at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
    at java.lang.reflect.Method.invoke(Method.java:601)
    at org.eclipse.equinox.launcher.Main.invokeFramework(Main.java:629)
    at org.eclipse.equinox.launcher.Main.basicRun(Main.java:584)
    at org.eclipse.equinox.launcher.Main.run(Main.java:1438)

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