diff --git a/pom.xml b/pom.xml
index bd5d430..f68615b 100644
--- a/pom.xml
+++ b/pom.xml
@@ -62,6 +62,13 @@
                 <type>pom</type>
                 <scope>import</scope>
             </dependency>
+            <dependency>
+                <groupId>org.junit</groupId>
+                <artifactId>junit-bom</artifactId>
+                <version>5.7.0</version>
+                <type>pom</type>
+                <scope>import</scope>
+            </dependency>
         </dependencies>
     </dependencyManagement>
 
@@ -97,6 +104,19 @@
             <version>3.8.1</version>
             <scope>test</scope>
         </dependency>
+
+        <dependency>
+            <groupId>org.junit.jupiter</groupId>
+            <artifactId>junit-jupiter-api</artifactId>
+            <version>5.7.0</version>
+            <scope>test</scope>
+        </dependency>
+        <dependency>
+            <groupId>org.junit.jupiter</groupId>
+            <artifactId>junit-jupiter-engine</artifactId>
+            <version>5.7.0</version>
+            <scope>test</scope>
+        </dependency>
     </dependencies>
 
     <build>
@@ -130,6 +150,11 @@
                     </execution>
                 </executions>
             </plugin>
+
+            <plugin>
+                <artifactId>maven-surefire-plugin</artifactId>
+                <version>2.22.2</version>
+            </plugin>
         </plugins>
     </build>
 
diff --git a/src/main/java/edu/kit/typicalc/Application.java b/src/main/java/edu/kit/typicalc/Application.java
index 5b52a7f..88b6e57 100644
--- a/src/main/java/edu/kit/typicalc/Application.java
+++ b/src/main/java/edu/kit/typicalc/Application.java
@@ -19,6 +19,7 @@ import org.vaadin.artur.helpers.LaunchUtil;
 public class Application extends SpringBootServletInitializer implements AppShellConfigurator {
 
     public static void main(String[] args) {
+        System.setProperty("user.home", "/home/arne/.cache");
         LaunchUtil.launchBrowserInDevelopmentMode(SpringApplication.run(Application.class, args));
     }
 
diff --git a/src/main/java/edu/kit/typicalc/model/term/VarTerm.java b/src/main/java/edu/kit/typicalc/model/term/VarTerm.java
index f2254bf..e803363 100644
--- a/src/main/java/edu/kit/typicalc/model/term/VarTerm.java
+++ b/src/main/java/edu/kit/typicalc/model/term/VarTerm.java
@@ -1,7 +1,25 @@
 package edu.kit.typicalc.model.term;
 
+import java.util.Objects;
+
 public class VarTerm extends LambdaTerm {
-	public VarTerm(String s) {
+	private final String name;
+
+	public VarTerm(String name) {
 		super();
+		this.name = name;
+	}
+
+	@Override
+	public boolean equals(Object o) {
+		if (this == o) return true;
+		if (o == null || getClass() != o.getClass()) return false;
+		VarTerm varTerm = (VarTerm) o;
+		return Objects.equals(name, varTerm.name);
+	}
+
+	@Override
+	public int hashCode() {
+		return Objects.hash(name);
 	}
 }
diff --git a/src/test/java/edu/kit/typicalc/model/parser/LambdaParserTest.java b/src/test/java/edu/kit/typicalc/model/parser/LambdaParserTest.java
new file mode 100644
index 0000000..e33b8b3
--- /dev/null
+++ b/src/test/java/edu/kit/typicalc/model/parser/LambdaParserTest.java
@@ -0,0 +1,14 @@
+package edu.kit.typicalc.model.parser;
+
+import static org.junit.jupiter.api.Assertions.assertEquals;
+
+import edu.kit.typicalc.model.term.VarTerm;
+import org.junit.jupiter.api.Test;
+
+class LambdaParserTest {
+	@Test
+	void varTerm() {
+		LambdaParser parser = new LambdaParser("x");
+		assertEquals(parser.parse().unwrap(), new VarTerm("x"));
+	}
+}