diff --git a/src/tgbatest/Makefile.am b/src/tgbatest/Makefile.am
index 5caa5034c..c38077927 100644
--- a/src/tgbatest/Makefile.am
+++ b/src/tgbatest/Makefile.am
@@ -122,6 +122,7 @@ TESTS = \
   emptchkr.test \
   ltlcounter.test \
   basimul.test \
+  satmin.test \
   spotlbtt.test \
   ltlcross.test \
   spotlbtt2.test \
diff --git a/src/tgbatest/satmin.test b/src/tgbatest/satmin.test
new file mode 100755
index 000000000..11427bd55
--- /dev/null
+++ b/src/tgbatest/satmin.test
@@ -0,0 +1,93 @@
+#!/bin/sh
+# -*- coding: utf-8 -*-
+# Copyright (C) 2013 Laboratoire de Recherche et Développement
+# de l'Epita (LRDE).
+#
+# This file is part of Spot, a model checking library.
+#
+# Spot is free software; you can redistribute it and/or modify it
+# under the terms of the GNU General Public License as published by
+# the Free Software Foundation; either version 3 of the License, or
+# (at your option) any later version.
+#
+# Spot is distributed in the hope that it will be useful, but WITHOUT
+# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+# or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
+# License for more details.
+#
+# You should have received a copy of the GNU General Public License
+# along with this program.  If not, see <http://www.gnu.org/licenses/>.
+
+. ./defs
+set -e
+
+# Skip if $SATSOLVE is not installed.
+(${SATSOLVER-glucose} --help >/dev/null 2>&1) || exit 77
+
+ltl2tgba=../../bin/ltl2tgba
+ltlcross=../../bin/ltlcross
+
+cat >formulas <<'EOF'
+XXa
+GF(a -> XXXb)
+F(p & XF(q & XF(r & XFs)))
+F(q & X(p U r))
+F(p & X(q & XFr))
+p U (q & X(r U s))
+G(a -> Fb) & G(c -> Fd)
+GFa & GFb
+GFa | GFb | GFc
+GFa
+a U b U c U d
+G(a -> Fb) & Gc
+(Ga -> Fb) & (G!a -> F!b)
+p U (q & X(r & F(s & XF(u & XF(v & XFw)))))
+G(a -> Fb) & G(b -> Fc)
+G(a -> Fb) & G(!a -> F!b)
+GFp && GFq && GF r && GF u
+GF(a <-> XXXb)
+G(p -> q U r)
+GF(a <-> XXb)
+G!c & G(a -> Fb) & G(b -> Fc)
+G(a -> XXXb)
+G(a -> Fb)
+G(a U b U !a U !b)
+(p U q U r) || (q U r U p) || (r U p U q)
+X((a M F((!c & !b) | (c & b))) W (G!c U b))
+X(((a & b) R (!a U !c)) R b)
+XXG(Fa U Xb)
+(!a M !b) W F!c
+(b & Fa & GFc) R a
+(a R (b W a)) W G(!a M (c | b))
+(Fa W b) R (Fc | !a)
+X(G(!a M !b) | G(a | G!a))
+Fa W Gb
+Ga | GFb
+G((G!a & ((!b & X!c) | (b & Xc))) | (Fa & ((!b & Xc) | (b & X!c))))
+a M G(F!b | X!a)
+G!a R XFb
+XF(!a | GFb)
+G(F!a U !a) U Xa
+(a | G(a M !b)) W Fc
+Fa W Xb
+X(a R ((!b & F!c) M X!a))
+XG!a R Fb
+GFc | (a & Fb)
+X(a R (Fb R F!b))
+G(Xa M Fa)
+X(Gb | GFa)
+X(Gc | XG((b & Ga) | (!b & F!a)))
+Ga R Fb
+G(a U (b | X((!c & !a) | (a & c))))
+XG((G!a & F!b) | (Fa & (a | Gb)))
+(a U X!a) | XG(!b & XFc)
+X(G!a | GFa)
+G(G!a | F!c | G!b)
+EOF
+
+$ltlcross -F formulas \
+  --timeout=300 \
+  "$ltl2tgba --det --lbtt %f >%T" \
+  "$ltl2tgba --det --lbtt -x tba-det --lbtt %f >%T" \
+  "$ltl2tgba --det --lbtt -x tba-det,sat-minimize --lbtt %f >%T" \
+  --json=det.json