Problems with setting the classpath in ant

I'm having problems getting my Java program to run (it uses some third party JARs). I can compile it fine but when I call my run target in ant it says it can't find the class that I told it run in the classpath. Here's what my build.xml looks like:

<project basedir="." default="build">
<property name="build" value="build" />
<property name="src" value="." />
<property name="lib" value="lib" />

<path id="classpath">
    <fileset dir="${lib}">
        <include name="**/*.jar" />
    </fileset>
    <fileset dir="${build}">
        <include name="*.class" />
    </fileset>
</path>

<target name="build">
    <javac srcdir="${src}" destdir="${build}">
        <classpath refid="classpath" />
    </javac>
</target>

<target name="run">
    <java classname="FirstClass">
        <classpath refid="classpath" />
    </java>
</target>

Does anyone know what I might be doing wrong?

Here's my stack trace from ant:

ant run Buildfile: build.xml

run:
[java] Could not find GuiStarter. Make sure you have it in your classpath
[java] at org.apache.tools.ant.taskdefs.ExecuteJava.execute(ExecuteJava.java:138)
[java] at org.apache.tools.ant.taskdefs.Java.run(Java.java:764)
[java] at org.apache.tools.ant.taskdefs.Java.executeJava(Java.java:218)
[java] at org.apache.tools.ant.taskdefs.Java.executeJava(Java.java:132)
[java] at org.apache.tools.ant.taskdefs.Java.execute(Java.java:105)
[java] at org.apache.tools.ant.UnknownElement.execute(UnknownElement.java:288)
[java] at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
[java] at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:57)
[java] at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
[java] at java.lang.reflect.Method.invoke(Method.java:616)
[java] at org.apache.tools.ant.dispatch.DispatchUtils.execute(DispatchUtils.java:106)
[java] at org.apache.tools.ant.Task.perform(Task.java:348)
[java] at org.apache.tools.ant.Target.execute(Target.java:357)
[java] at org.apache.tools.ant.Target.performTasks(Target.java:385)
[java] at org.apache.tools.ant.Project.executeSortedTargets(Project.java:1337)
[java] at org.apache.tools.ant.Project.executeTarget(Project.java:1306)
[java] at org.apache.tools.ant.helper.DefaultExecutor.executeTargets(DefaultExecutor.java:41)
[java] at org.apache.tools.ant.Project.executeTargets(Project.java:1189)
[java] at org.apache.tools.ant.Main.runBuild(Main.java:758)
[java] at org.apache.tools.ant.Main.startAnt(Main.java:217)
[java] at org.apache.tools.ant.launch.Launcher.run(Launcher.java:257)
[java] at org.apache.tools.ant.launch.Launcher.main(Launcher.java:104)
[java] Java Result: -1

BUILD SUCCESSFUL Total time: 1 second