diff --git a/app/src/main/java/de/jeanlucmakiola/clockula/domain/selfcheck/SelfCheck.kt b/app/src/main/java/de/jeanlucmakiola/clockula/domain/selfcheck/SelfCheck.kt
index c6a208d..0450a24 100644
--- a/app/src/main/java/de/jeanlucmakiola/clockula/domain/selfcheck/SelfCheck.kt
+++ b/app/src/main/java/de/jeanlucmakiola/clockula/domain/selfcheck/SelfCheck.kt
@@ -186,21 +186,24 @@ object SelfCheck {
 
     /**
      * Compares Clockula's own computed next fire against what the system
-     * actually has registered. No alarm scheduled is not a problem; an
-     * unknown owner is given the benefit of the doubt (the platform does not
-     * always expose it), but a *confirmed* foreign owner, a missing system
-     * registration, or a mismatched time all mean the registration this app
-     * made is not the one the system will honour.
+     * actually has registered. The system reports only the earliest alarm
+     * clock of *any* app, so another app's alarm at or before Clockula's hides
+     * Clockula's registration rather than disproving it, and is not a problem.
+     * No alarm scheduled is not a problem either. A missing registration, our
+     * own at the wrong time, or anything later than our next fire all mean the
+     * registration this app made is not the one the system will honour.
      */
     private fun nextAlarm(state: DeviceState): CheckResult {
         val expected = state.expectedNextFire
+        val system = state.systemNextAlarm
         val owner = state.systemNextAlarmOwnerPackage
         val ok = when {
             expected == null -> true
-            state.systemNextAlarm == null -> false
-            owner != null && owner != state.ownPackageName -> false
-            state.systemNextAlarm != expected -> false
-            else -> true
+            system == null -> false
+            system == expected -> true
+            system > expected -> false
+            // Earlier than ours: someone else's, unless the owner is confirmed as us.
+            else -> owner != state.ownPackageName
         }
         return CheckResult(
             SelfCheckId.NEXT_ALARM,
diff --git a/app/src/main/res/values/strings.xml b/app/src/main/res/values/strings.xml
index e50f974..e71127c 100644
--- a/app/src/main/res/values/strings.xml
+++ b/app/src/main/res/values/strings.xml
@@ -371,7 +371,7 @@
     <string name="selfcheck_oem_warn">Some manufacturers aggressively close background apps — see how to keep Clockula exempt</string>
 
     <string name="selfcheck_next_alarm_title">Next alarm, as the system sees it</string>
-    <string name="selfcheck_next_alarm_ok">Matches what Clockula scheduled</string>
+    <string name="selfcheck_next_alarm_ok">Agrees with what Clockula scheduled</string>
     <string name="selfcheck_next_alarm_problem">Doesn\'t match what Clockula scheduled — open the app to re-check</string>
 
     <!-- M10: widgets -->
diff --git a/app/src/test/java/de/jeanlucmakiola/clockula/domain/selfcheck/SelfCheckTest.kt b/app/src/test/java/de/jeanlucmakiola/clockula/domain/selfcheck/SelfCheckTest.kt
index 81b0739..310c8f1 100644
--- a/app/src/test/java/de/jeanlucmakiola/clockula/domain/selfcheck/SelfCheckTest.kt
+++ b/app/src/test/java/de/jeanlucmakiola/clockula/domain/selfcheck/SelfCheckTest.kt
@@ -189,7 +189,18 @@ class SelfCheckTest {
     }
 
     @Test
-    fun `the system's registration belonging to a different app is a problem`() {
+    fun `another app's alarm before Clockula's is fine, since it hides ours`() {
+        val state = allClear.copy(
+            expectedNextFire = Instant.fromEpochMilliseconds(2_000_000),
+            systemNextAlarm = Instant.fromEpochMilliseconds(1_000_000),
+            systemNextAlarmOwnerPackage = "com.other.clock",
+        )
+
+        assertThat(resultFor(state, SelfCheckId.NEXT_ALARM).status).isEqualTo(CheckStatus.OK)
+    }
+
+    @Test
+    fun `another app's alarm at the same instant as Clockula's is fine`() {
         val at = Instant.fromEpochMilliseconds(1_000_000)
         val state = allClear.copy(
             expectedNextFire = at,
@@ -197,6 +208,28 @@ class SelfCheckTest {
             systemNextAlarmOwnerPackage = "com.other.clock",
         )
 
+        assertThat(resultFor(state, SelfCheckId.NEXT_ALARM).status).isEqualTo(CheckStatus.OK)
+    }
+
+    @Test
+    fun `another app's alarm after Clockula's means ours is missing`() {
+        val state = allClear.copy(
+            expectedNextFire = Instant.fromEpochMilliseconds(1_000_000),
+            systemNextAlarm = Instant.fromEpochMilliseconds(2_000_000),
+            systemNextAlarmOwnerPackage = "com.other.clock",
+        )
+
+        assertThat(resultFor(state, SelfCheckId.NEXT_ALARM).status).isEqualTo(CheckStatus.PROBLEM)
+    }
+
+    @Test
+    fun `our own registration earlier than expected is a problem`() {
+        val state = allClear.copy(
+            expectedNextFire = Instant.fromEpochMilliseconds(2_000_000),
+            systemNextAlarm = Instant.fromEpochMilliseconds(1_000_000),
+            systemNextAlarmOwnerPackage = OWN_PACKAGE,
+        )
+
         assertThat(resultFor(state, SelfCheckId.NEXT_ALARM).status).isEqualTo(CheckStatus.PROBLEM)
     }