Gostaria de usar a nova biblioteca de suporte de design no meu aplicativo, começando com a API 21. Quero usar o estilo Theme.Material, mas funciona apenas com o estilo Theme.AppCompat. Quando eu uso Theme.Material, o Android retorna este erro:

erro ao inflar a classe android.support.design.widget.textinputlayout "

Como posso resolver isso?

Agradeço antecipadamente

Ps: Desculpe pelo meu inglês ruim, sou francês.

ATUALIZAR: Aqui está o meu código

styles.xml

<style name="AppTheme" parent="android:Theme.Material.Light.DarkActionBar">
    <item name="android:colorPrimary">@color/primary</item>
    <item name="android:colorPrimaryDark">@color/primary_dark</item>
    <item name="android:colorAccent">@color/accent</item>
    <item name="android:colorControlNormal">@color/control_normal</item>
    <item name="android:textColorHint">@color/silver</item>
</style>

activity.xml

<android.support.design.widget.TextInputLayout
    android:layout_width="match_parent"
    android:layout_height="wrap_content">

    <EditText
        android:layout_width="match_parent"
        android:layout_height="wrap_content"
        android:hint="username"
        android:id="@+id/editText1" />

</android.support.design.widget.TextInputLayout>

build.gradle

dependencies {
//compile fileTree(dir: 'libs', include: ['*.jar'])

compile project(':facebook')
compile('com.twitter.sdk.android:twitter:1.1.0@aar') {
    transitive = true;
    exclude module: 'gson'
}

compile 'com.google.android.gms:play-services-plus:7.5.0'
compile 'com.google.android.gms:play-services-identity:7.5.0'
compile 'com.android.support:design:22.2.0'
compile 'com.android.support:support-v13:22.0.0'
compile 'com.android.support:cardview-v7:22.0.0'
compile 'com.soundcloud.android:android-crop:0.9.10@aar'

compile files('libs/volley.jar')
compile files('libs/gson-2.3.1.jar')
compile files('libs/httpclient-4.3.3.jar')
compile files('libs/httpclient-cache-4.3.3.jar')
compile files('libs/httpcore-4.3.2.jar')
compile files('libs/httpmime-4.3.3.jar')
compile files('libs/commons-lang3-3.3.2.jar')
compile files('libs/hellocharts-library-1.5.5.jar')
}