diff --git a/tests/files/README b/tests/files/README
index 8f0a73a7..a8516f2a 100644
--- a/tests/files/README
+++ b/tests/files/README
@@ -83,6 +83,10 @@
     uncompressed and the second is LZMA. The first chunk resets dictionary
     and the second sets new properties.
 
+    good-1-lzma2-4.xz has three LZMA2 chunks: First is LZMA, second is
+    uncompressed with dictionary reset, and third is LZMA with new
+    properties but without dictionary reset.
+
     good-1-3delta-lzma2.xz has three Delta filters and LZMA2.
 
 
@@ -222,3 +226,6 @@
 
     bad-1-lzma2-7.xz has EOPM at LZMA level.
 
+    bad-1-lzma2-8.xz is like good-1-lzma2-4.xz but doesn't set new
+    properties in the third LZMA2 chunk.
+
diff --git a/tests/files/bad-1-lzma2-8.xz b/tests/files/bad-1-lzma2-8.xz
new file mode 100644
index 00000000..f21a71b6
Binary files /dev/null and b/tests/files/bad-1-lzma2-8.xz differ
diff --git a/tests/files/good-1-lzma2-4.xz b/tests/files/good-1-lzma2-4.xz
new file mode 100644
index 00000000..e0d623a0
Binary files /dev/null and b/tests/files/good-1-lzma2-4.xz differ