diff --git a/test/run-test.sh b/test/run-test.sh
index 5faa4fc..8b9d709 100644
--- a/test/run-test.sh
+++ b/test/run-test.sh
@@ -83,17 +82,11 @@ export FONTCONFIG_FILE
 dotest "Basic check"
 prep
 cp $FONT1 $FONT2 $FONTDIR
-if [ -n ${SOURCE_DATE_EPOCH:-} ]; then
-    touch -m -t "`date -d \"@${SOURCE_DATE_EPOCH}\" +%y%m%d%H%M.%S`" $FONTDIR
-fi
 check
 
 dotest "With a subdir"
 prep
 cp $FONT1 $FONT2 $FONTDIR
-if [ -n ${SOURCE_DATE_EPOCH:-} ]; then
-    touch -m -t "`date -d \"@${SOURCE_DATE_EPOCH}\" +%y%m%d%H%M.%S`" $FONTDIR
-fi
 $FCCACHE $FONTDIR
 check
 
@@ -101,9 +94,6 @@ dotest "Subdir with a cache file"
 prep
 mkdir $FONTDIR/a
 cp $FONT1 $FONT2 $FONTDIR/a
-if [ -n ${SOURCE_DATE_EPOCH:-} ]; then
-    touch -m -t "`date -d \"@${SOURCE_DATE_EPOCH}\" +%y%m%d%H%M.%S`" $FONTDIR/a
-fi
 $FCCACHE $FONTDIR/a
 check
 
@@ -114,52 +104,13 @@ mkdir $FONTDIR/a/a
 mkdir $FONTDIR/b
 mkdir $FONTDIR/b/a
 cp $FONT1 $FONTDIR/a
-if [ -n ${SOURCE_DATE_EPOCH:-} ]; then
-    touch -m -t "`date -d \"@${SOURCE_DATE_EPOCH}\" +%y%m%d%H%M.%S`" $FONTDIR/a
-fi
 cp $FONT2 $FONTDIR/b/a
-if [ -n ${SOURCE_DATE_EPOCH:-} ]; then
-    touch -m -t "`date -d \"@${SOURCE_DATE_EPOCH}\" +%y%m%d%H%M.%S`" $FONTDIR/b/a
-fi
-check
-
-dotest "Subdir with an out-of-date cache file"
-prep
-mkdir $FONTDIR/a
-$FCCACHE $FONTDIR/a
-sleep 1
-cp $FONT1 $FONT2 $FONTDIR/a
-check
-
-dotest "Dir with an out-of-date cache file"
-prep
-cp $FONT1 $FONTDIR
-$FCCACHE $FONTDIR
-sleep 1
-mkdir $FONTDIR/a
-cp $FONT2 $FONTDIR/a
 check
 
-dotest "Keep mtime of the font directory"
-prep
-cp $FONT1 $FONTDIR
-touch -d @0 $FONTDIR
-stat $FONTDIR | grep Modify > out1
-$FCCACHE $FONTDIR
-stat $FONTDIR | grep Modify > out2
-if cmp out1 out2 > /dev/null ; then : ; else
-    echo "*** Test failed: $TEST"
-    echo "mtime was modified"
-    exit 1
-fi
-
 if [ x"$BWRAP" != "x" -a "x$EXEEXT" = "x" ]; then
 dotest "Basic functionality with the bind-mounted cache dir"
 prep
 cp $FONT1 $FONT2 $FONTDIR
-if [ -n ${SOURCE_DATE_EPOCH:-} ]; then
-    touch -m -t "`date -d \"@${SOURCE_DATE_EPOCH}\" +%y%m%d%H%M.%S`" $FONTDIR
-fi
 $FCCACHE $FONTDIR
 sleep 1
 ls -l $CACHEDIR > out1
@@ -199,9 +150,6 @@ rm -rf $TESTTMPDIR out1 out2 xxx flist1 flist2 bind-fonts.conf
 dotest "Different directory content between host and sandbox"
 prep
 cp $FONT1 $FONTDIR
-if [ -n ${SOURCE_DATE_EPOCH:-} ]; then
-    touch -m -t "`date -d \"@${SOURCE_DATE_EPOCH}\" +%y%m%d%H%M.%S`" $FONTDIR
-fi
 $FCCACHE $FONTDIR
 sleep 1
 ls -1 --color=no $CACHEDIR/*cache*> out1
@@ -209,9 +157,6 @@ stat -c '%n %s %y %z' `cat out1` > stat1
 TESTTMPDIR=`mktemp -d /tmp/fontconfig.XXXXXXXX`
 TESTTMP2DIR=`mktemp -d /tmp/fontconfig.XXXXXXXX`
 cp $FONT2 $TESTTMP2DIR
-if [ -n ${SOURCE_DATE_EPOCH:-} ]; then
-    touch -m -t "`date -d \"@${SOURCE_DATE_EPOCH}\" +%y%m%d%H%M.%S`" $TESTTMP2DIR
-fi
 sed "s!@FONTDIR@!$TESTTMPDIR/fonts</dir><dir salt="'"'"salt-to-make-different"'"'">$FONTDIR!
 s!@REMAPDIR@!<remap-dir as-path="'"'"$FONTDIR"'"'">$TESTTMPDIR/fonts</remap-dir>!
 s!@CACHEDIR@!$TESTTMPDIR/cache.dir!" < $TESTDIR/fonts.conf.in > bind-fonts.conf
@@ -252,9 +197,6 @@ dotest "Check consistency of MD5 in cache name"
 prep
 mkdir -p $FONTDIR/sub
 cp $FONT1 $FONTDIR/sub
-if [ -n ${SOURCE_DATE_EPOCH:-} ]; then
-    touch -m -t "`date -d \"@${SOURCE_DATE_EPOCH}\" +%y%m%d%H%M.%S`" $FONTDIR/sub
-fi
 $FCCACHE $FONTDIR
 sleep 1
 (cd $CACHEDIR; ls -1 --color=no *cache*) > out1
@@ -279,9 +221,6 @@ rm -rf $TESTTMPDIR out1 out2 bind-fonts.conf
 dotest "Fallback to uuid"
 prep
 cp $FONT1 $FONTDIR
-if [ -n ${SOURCE_DATE_EPOCH:-} ]; then
-    touch -m -t "`date -d \"@${SOURCE_DATE_EPOCH}\" +%y%m%d%H%M.%S`" $FONTDIR
-fi
 touch -d @`stat -c %Y $FONTDIR` $FONTDIR
 $FCCACHE $FONTDIR
 sleep 1
@@ -322,9 +261,6 @@ mkdir -p $MyPWD/sysroot/$FONTDIR
 mkdir -p $MyPWD/sysroot/$CACHEDIR
 mkdir -p $MyPWD/sysroot/$MyPWD
 cp $FONT1 $MyPWD/sysroot/$FONTDIR
-if [ -n ${SOURCE_DATE_EPOCH:-} ]; then
-    touch -m -t "`date -d \"@${SOURCE_DATE_EPOCH}\" +%y%m%d%H%M.%S`" $MyPWD/sysroot/$FONTDIR
-fi
 cp $MyPWD/fonts.conf $MyPWD/sysroot/$MyPWD/fonts.conf
 $FCCACHE -y $MyPWD/sysroot
 
@@ -341,85 +277,6 @@ fi
 
 rm -rf $MyPWD/sysroot
 
-dotest "read newer caches when multiple places are allowed to store"
-prep
-cp $FONT1 $FONT2 $FONTDIR
-if [ -n ${SOURCE_DATE_EPOCH:-} ] && [ ${#SOURCE_DATE_EPOCH} -gt 0 ]; then
-    touch -m -t "`date -d \"@${SOURCE_DATE_EPOCH}\" +%y%m%d%H%M.%S`" $FONTDIR
-fi
-MYCACHEBASEDIR=`mktemp -d /tmp/fontconfig.XXXXXXXX`
-MYCACHEDIR=$MYCACHEBASEDIR/cache.dir
-MYOWNCACHEDIR=$MYCACHEBASEDIR/owncache.dir
-MYCONFIG=`mktemp /tmp/fontconfig.XXXXXXXX`
-
-mkdir -p $MYCACHEDIR
-mkdir -p $MYOWNCACHEDIR
-
-sed "s!@FONTDIR@!$FONTDIR!
-s!@REMAPDIR@!!
-s!@CACHEDIR@!$MYCACHEDIR!" < $TESTDIR/fonts.conf.in > my-fonts.conf
-
-FONTCONFIG_FILE=$MyPWD/my-fonts.conf $FCCACHE $FONTDIR
-
-sleep 1
-cat<<EOF>$MYCONFIG
-<fontconfig>
-  <match target="scan">
-    <test name="file"><string>$FONTDIR/4x6.pcf</string></test>
-    <edit name="pixelsize"><int>8</int></edit>
-  </match>
-</fontconfig>
-EOF
-sed "s!@FONTDIR@!$FONTDIR!
-s!@REMAPDIR@!<include ignore_missing=\"yes\">$MYCONFIG</include>!
-s!@CACHEDIR@!$MYOWNCACHEDIR!" < $TESTDIR/fonts.conf.in > my-fonts.conf
-
-if [ -n ${SOURCE_DATE_EPOCH:-} ]; then
-  old_epoch=${SOURCE_DATE_EPOCH}
-  SOURCE_DATE_EPOCH=`expr $SOURCE_DATE_EPOCH + 1`
-fi
-FONTCONFIG_FILE=$MyPWD/my-fonts.conf $FCCACHE -f $FONTDIR
-if [ -n ${SOURCE_DATE_EPOCH:-} ]; then
-  SOURCE_DATE_EPOCH=${old_epoch}
-fi
-
-sed "s!@FONTDIR@!$FONTDIR!
-s!@REMAPDIR@!<include ignore_missing=\"yes\">$MYCONFIG</include>!
-s!@CACHEDIR@!$MYCACHEDIR</cachedir><cachedir>$MYOWNCACHEDIR!" < $TESTDIR/fonts.conf.in > my-fonts.conf
-
-FONTCONFIG_FILE=$MyPWD/my-fonts.conf $FCLIST - family pixelsize | sort > my-out
-echo "=" >> my-out
-FONTCONFIG_FILE=$MyPWD/my-fonts.conf $FCLIST - family pixelsize | sort >> my-out
-echo "=" >> my-out
-FONTCONFIG_FILE=$MyPWD/my-fonts.conf $FCLIST - family pixelsize | sort >> my-out
-tr -d '\015' <my-out >my-out.tmp; mv my-out.tmp my-out
-sed -e 's/pixelsize=6/pixelsize=8/g' $BUILDTESTDIR/$EXPECTED > my-out.expected
-
-if cmp my-out my-out.expected > /dev/null ; then : ; else
-    echo "*** Test failed: $TEST"
-    echo "*** output is in 'my-out', expected output in 'my-out.expected'"
-    echo "Actual Result"
-    cat my-out
-    echo "Expected Result"
-    cat my-out.expected
-    exit 1
-fi
-
-rm -rf $MYCACHEBASEDIR $MYCONFIG my-fonts.conf my-out my-out.expected
-
 fi # if [ "x$EXEEXT" = "x" ]
 
-if [ -x $BUILDTESTDIR/test-crbug1004254 ] && [ 0 -eq 1 ]; then
-    dotest "MT-safe global config"
-    prep
-    curl -s -o $FONTDIR/noto.zip https://noto-website-2.storage.googleapis.com/pkgs/NotoSans-hinted.zip
-    (cd $FONTDIR; unzip noto.zip)
-    if [ -n ${SOURCE_DATE_EPOCH:-} ] && [ ${#SOURCE_DATE_EPOCH} -gt 0 ]; then
-	touch -m -t "`date -d \"@${SOURCE_DATE_EPOCH}\" +%y%m%d%H%M.%S`" $FONTDIR
-    fi
-    $BUILDTESTDIR/test-crbug1004254
-else
-    echo "No test-crbug1004254: skipped"
-fi
-
 rm -rf $FONTDIR $CACHEFILE $CACHEDIR $BASEDIR $FONTCONFIG_FILE out
-- 
2.23.0

