diff --git a/lib/libsysdecode/flags.c b/lib/libsysdecode/flags.c
--- a/lib/libsysdecode/flags.c
+++ b/lib/libsysdecode/flags.c
@@ -1171,7 +1171,8 @@
 void
 sysdecode_cap_rights(FILE *fp, cap_rights_t *rightsp)
 {
-	struct name_table *t;
+	cap_rights_t diff, sum, zero;
+	const struct name_table *t;
 	int i;
 	bool comma;
 
@@ -1181,13 +1182,59 @@
 			return;
 		}
 	}
-	comma = false;
-	for (t = caprights; t->str != NULL; t++) {
+	cap_rights_init(&sum);
+	diff = *rightsp;
+	for (t = caprights, comma = false; t->str != NULL; t++) {
 		if (cap_rights_is_set(rightsp, t->val)) {
+			cap_rights_clear(&diff, t->val);
+			if (cap_rights_is_set(&sum, t->val)) {
+				/* Don't print redundant rights. */
+				continue;
+			}
+			cap_rights_set(&sum, t->val);
+
 			fprintf(fp, "%s%s", comma ? "," : "", t->str);
 			comma = true;
 		}
 	}
+	if (!comma)
+		fprintf(fp, "CAP_NONE");
+
+	/*
+	 * Provide a breadcrumb if some of the provided rights are not included
+	 * in the table, likely due to a bug in the mktables script.
+	 */
+	CAP_NONE(&zero);
+	if (!cap_rights_contains(&zero, &diff))
+		fprintf(fp, ",unknown rights");
+}
+
+/*
+ * Pre-sort the set of rights, which has a partial ordering defined by the
+ * subset relation.  This lets sysdecode_cap_rights() print a list of minimal
+ * length with a single pass over the "caprights" table.
+ */
+static void __attribute__((constructor))
+sysdecode_cap_rights_init(void)
+{
+	cap_rights_t tr, qr;
+	struct name_table *t, *q, tmp;
+	bool swapped;
+
+	do {
+		for (t = caprights, swapped = false; t->str != NULL; t++) {
+			cap_rights_init(&tr, t->val);
+			for (q = t + 1; q->str != NULL; q++) {
+				cap_rights_init(&qr, q->val);
+				if (cap_rights_contains(&qr, &tr)) {
+					tmp = *t;
+					*t = *q;
+					*q = tmp;
+					swapped = true;
+				}
+			}
+		}
+	} while (swapped);
 }
 
 static struct name_table cmsgtypeip[] = {
diff --git a/lib/libsysdecode/mktables b/lib/libsysdecode/mktables
--- a/lib/libsysdecode/mktables
+++ b/lib/libsysdecode/mktables
@@ -159,7 +159,7 @@
 gen_table "sigcode"         "SI_[A-Z]+[[:space:]]+0(x[0-9abcdef]+)?"       "sys/signal.h"
 gen_table "umtxcvwaitflags" "CVWAIT_[A-Z_]+[[:space:]]+0x[0-9]+"           "sys/umtx.h"
 gen_table "umtxrwlockflags" "URWLOCK_PREFER_READER[[:space:]]+0x[0-9]+"    "sys/umtx.h"
-gen_table "caprights"       "CAP_[A-Z_]+[[:space:]]+CAPRIGHT\([0-9],[[:space:]]+0x[0-9]{16}ULL\)"   "sys/capsicum.h"
+gen_table "caprights"       "CAP_[A-Z_]+[[:space:]]+((CAPRIGHT\([0-9],[[:space:]]+0x[0-9]{16}ULL\))|(\(CAP_[A-Z_]+[[:space:]]*\|.*\)))"   "sys/capsicum.h"
 gen_table "sctpprpolicy"    "SCTP_PR_SCTP_[A-Z_]+[[:space:]]+0x[0-9]+"     "netinet/sctp_uio.h" "SCTP_PR_SCTP_ALL"
 gen_table "cmsgtypesocket"  "SCM_[A-Z_]+[[:space:]]+0x[0-9]+"              "sys/socket.h"
 if [ -e "${include_dir}/x86/sysarch.h" ]; then
diff --git a/lib/libsysdecode/sysdecode_cap_rights.3 b/lib/libsysdecode/sysdecode_cap_rights.3
--- a/lib/libsysdecode/sysdecode_cap_rights.3
+++ b/lib/libsysdecode/sysdecode_cap_rights.3
@@ -24,7 +24,7 @@
 .\"
 .\" $FreeBSD$
 .\"
-.Dd November 24, 2017
+.Dd April 11, 2022
 .Dt sysdecode_cap_rights 3
 .Os
 .Sh NAME
@@ -46,5 +46,26 @@
 .Fa rightsp
 to the stream
 .Fa fp .
+.Pp
+Note that some capability rights are supersets of others; for example,
+.Dv CAP_PREAD
+is the union of
+.Dv CAP_READ
+and
+.Dv CAP_SEEK .
+.Fn sysdecode_cap_rights
+emits a minimal list of rights whose union is equal to
+.Fa *rightsp .
+For example, if both
+.Dv CAP_READ
+and
+.Dv CAP_SEEK
+are set in
+.Fa *rightsp ,
+then
+.Fn sysdecode_cap_rights
+will include only
+.Dv CAP_PREAD
+in the output list.
 .Sh SEE ALSO
 .Xr sysdecode 3