I noted when running a JUnit test using SLF4J 1.6.1 under Java 1.4.2 that a Java 5 API method was used, which created a problem but did not prevent logging altogether, simply printed out a stack trace. It should be no great issue to fix, I should think:

Unexpected problem occured during version sanity check
Reported exception:
java.lang.NoSuchMethodError: java.util.Arrays.toString([Ljava/lang/Object;)Ljava/lang/String;
at org.slf4j.LoggerFactory.versionSanityCheck(LoggerFactory.java:161)
at org.slf4j.LoggerFactory.performInitialization(LoggerFactory.java:106)
at org.slf4j.LoggerFactory.getILoggerFactory(LoggerFactory.java:235)
at org.slf4j.LoggerFactory.getLogger(LoggerFactory.java:208)
at org.slf4j.LoggerFactory.getLogger(LoggerFactory.java:221)
at com.datasourceinc.alerts.util.AlertsFileParser.<init>(AlertsFileParser.java:15)
at com.datasourceinc.alerts.util.FileParsingTest.testParse(FileParsingTest.java:19)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:39)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:25)
at java.lang.reflect.Method.invoke(Method.java:324)
at junit.framework.TestCase.runTest(TestCase.java:164)
at junit.framework.TestCase.runBare(TestCase.java:130)
at junit.framework.TestResult$1.protect(TestResult.java:106)
at junit.framework.TestResult.runProtected(TestResult.java:124)
at junit.framework.TestResult.run(TestResult.java:109)
at junit.framework.TestCase.run(TestCase.java:120)
at junit.framework.TestSuite.runTest(TestSuite.java:230)
at junit.framework.TestSuite.run(TestSuite.java:225)
at org.eclipse.jdt.internal.junit.runner.junit3.JUnit3TestReference.run(JUnit3TestReference.java:130)
at org.eclipse.jdt.internal.junit.runner.TestExecution.run(TestExecution.java:38)
at org.eclipse.jdt.internal.junit.runner.RemoteTestRunner.runTests(RemoteTestRunner.java:467)
at org.eclipse.jdt.internal.junit.runner.RemoteTestRunner.runTests(RemoteTestRunner.java:683)
at org.eclipse.jdt.internal.junit.runner.RemoteTestRunner.run(RemoteTestRunner.java:390)
at org.eclipse.jdt.internal.junit.runner.RemoteTestRunner.main(RemoteTestRunner.java:197)

(BTW, I note that Windows 7 is not on your OS list and used Windows XP so as to come as close as I could.)