Initial import of SMTCoq v1.2

author: Chantal Keller <Chantal.Keller@inria.fr> 2015-01-12 16:28:10 +0100
committer: Chantal Keller <Chantal.Keller@inria.fr> 2015-01-12 16:28:10 +0100
commit: cfb4587e26623318f432c7e3e21711afc2b966e7 (patch)
tree: a90c6f372633458aa0766510bcfdc4682eaa8f6a /unit-tests
parent: 1e10dcc783b82269cc3fe3bb7419b9c1cc9e0fa7 (diff)
download: smtcoq-cfb4587e26623318f432c7e3e21711afc2b966e7.tar.gz
smtcoq-cfb4587e26623318f432c7e3e21711afc2b966e7.zip
43 files changed, 23483 insertions, 0 deletions
diff --git a/unit-tests/Makefile b/unit-tests/Makefile
new file mode 100644
index 0000000..4c29362
--- /dev/null
+++ b/unit-tests/Makefile
@@ -0,0 +1,32 @@
+ZCHAFFSRC=$(wildcard sat*.cnf) hole4.cnf cmu-bmc-barrel6.cnf velev-sss-1.0-05.cnf
+VERITSRC=$(wildcard sat*.smt2) hole4.smt2 $(wildcard uf*.smt2) $(wildcard lia*.smt2) $(wildcard let*.smt2)
+ZCHAFFLOG=$(ZCHAFFSRC:.cnf=.zlog)
+VERITLOG=$(VERITSRC:.smt2=.vtlog)
+OBJ=$(ZCHAFFLOG) $(VERITLOG)
+
+COQLIBS?= -R ../src SMTCoq
+OPT?=
+COQFLAGS?=-q $(OPT) $(COQLIBS) $(OTHERFLAGS) $(COQ_XML)
+COQC?=$(COQBIN)coqc
+
+
+all: $(OBJ) Tests.vo
+
+
+logs: $(OBJ)
+
+
+%.zlog: %.cnf
+	./runzchaff.sh $<
+
+
+%.vtlog: %.smt2
+	./runverit.sh $<
+
+
+%.vo %.glob: %.v
+	$(COQC) $(COQDEBUG) $(COQFLAGS) $*
+
+
+clean:
+	rm -rf *~ *.zlog *.vtlog
diff --git a/unit-tests/Tests.v b/unit-tests/Tests.v
new file mode 100644
index 0000000..5f75204
--- /dev/null
+++ b/unit-tests/Tests.v
@@ -0,0 +1,1273 @@
+(* Add LoadPath ".." as SMTCoq. *)
+Require Import SMTCoq.
+Require Import Bool PArray Int63 List ZArith.
+
+Local Open Scope int63_scope.
+
+
+(* zChaff vernacular commands *)
+
+Time Zchaff_Checker "sat1.cnf" "sat1.zlog".
+Time Zchaff_Checker "sat2.cnf" "sat2.zlog".
+Time Zchaff_Checker "sat3.cnf" "sat3.zlog".
+Time Zchaff_Checker "sat5.cnf" "sat5.zlog".
+Time Zchaff_Checker "sat6.cnf" "sat6.zlog".
+Time Zchaff_Checker "sat7.cnf" "sat7.zlog".
+Time Zchaff_Checker "hole4.cnf" "hole4.zlog".
+Time Zchaff_Checker "cmu-bmc-barrel6.cnf" "cmu-bmc-barrel6.zlog".
+Time Zchaff_Checker "velev-sss-1.0-05.cnf" "velev-sss-1.0-05.zlog".
+
+
+Time Zchaff_Theorem sat1 "sat1.cnf" "sat1.zlog".
+Time Zchaff_Theorem sat2 "sat2.cnf" "sat2.zlog".
+Time Zchaff_Theorem sat3 "sat3.cnf" "sat3.zlog".
+Time Zchaff_Theorem sat5 "sat5.cnf" "sat5.zlog".
+Time Zchaff_Theorem sat6 "sat6.cnf" "sat6.zlog".
+Time Zchaff_Theorem sat7 "sat7.cnf" "sat7.zlog".
+Time Zchaff_Theorem hole4 "hole4.cnf" "hole4.zlog".
+
+
+Parse_certif_zchaff d1 t1 "sat1.cnf" "sat1.zlog".
+Compute Sat_Checker.checker d1 t1.
+
+Parse_certif_zchaff d2 t2 "sat2.cnf" "sat2.zlog".
+Compute Sat_Checker.checker d2 t2.
+
+Parse_certif_zchaff d3 t3 "sat3.cnf" "sat3.zlog".
+Compute Sat_Checker.checker d3 t3.
+
+Parse_certif_zchaff d5 t5 "sat5.cnf" "sat5.zlog".
+Compute Sat_Checker.checker d5 t5.
+
+Parse_certif_zchaff d6 t6 "sat6.cnf" "sat6.zlog".
+Compute Sat_Checker.checker d6 t6.
+
+Parse_certif_zchaff d7 t7 "sat7.cnf" "sat7.zlog".
+Compute Sat_Checker.checker d7 t7.
+
+Parse_certif_zchaff dhole4 thole4 "hole4.cnf" "hole4.zlog".
+Compute Sat_Checker.checker dhole4 thole4.
+
+Parse_certif_zchaff dcmubmcbarrel6 tcmubmcbarrel6 "cmu-bmc-barrel6.cnf" "cmu-bmc-barrel6.zlog".
+Compute Sat_Checker.checker dcmubmcbarrel6 tcmubmcbarrel6.
+
+Parse_certif_zchaff dvelevsss1005 tvelevsss1005 "velev-sss-1.0-05.cnf" "velev-sss-1.0-05.zlog".
+Compute Sat_Checker.checker dvelevsss1005 tvelevsss1005.
+
+
+(* zChaff tactic *)
+
+Goal forall a, a || negb a.
+  zchaff.
+Qed.
+
+Goal forall a, negb (a || negb a) = false.
+  zchaff.
+Qed.
+
+Goal forall a, (a && negb a) = false.
+  zchaff.
+Qed.
+
+Goal forall a, negb (a && negb a).
+  zchaff.
+Qed.
+
+Goal forall a, implb a a.
+  zchaff.
+Qed.
+
+Goal forall a, negb (implb a a) = false.
+  zchaff.
+Qed.
+
+Goal forall a , (xorb a a) || negb (xorb a a).
+  zchaff.
+Qed.
+Print Unnamed_thm5.
+
+Goal forall a, (a||negb a) || negb (a||negb a).
+  zchaff.
+Qed.
+
+Goal true.
+  zchaff.
+Qed.
+
+Goal negb false.
+  zchaff.
+Qed.
+
+Goal forall a, Bool.eqb a a.
+Proof.
+  zchaff.
+Qed.
+
+Goal forall (a:bool), a = a.
+  zchaff.
+Qed.
+
+
+(* sat2.smt *)
+(* ((a ∧ b) ∨ (b ∧ c)) ∧ ¬b = ⊥ *)
+
+Goal forall a b c, (((a && b) || (b && c)) && (negb b)) = false.
+Proof.
+  zchaff.
+Qed.
+
+
+(* sat3.smt *)
+(* (a ∨ a) ∧ ¬a = ⊥ *)
+
+Goal forall a, ((a || a) && (negb a)) = false.
+Proof.
+  zchaff.
+Qed.
+
+
+(* sat4.smt *)
+(* ¬(a ∨ ¬a) = ⊥ *)
+
+Goal forall a, (negb (a || (negb a))) = false.
+Proof.
+  zchaff.
+Qed.
+
+
+(* sat5.smt *)
+(* (a ∨ b ∨ c) ∧ (¬a ∨ ¬b ∨ ¬c) ∧ (¬a ∨ b) ∧ (¬b ∨ c) ∧ (¬c ∨ a) = ⊥ *)
+
+Goal forall a b c,
+  (a || b || c) && ((negb a) || (negb b) || (negb c)) && ((negb a) || b) && ((negb b) || c) && ((negb c) || a) = false.
+Proof.
+  zchaff.
+Qed.
+
+
+(* Le même, mais où a, b et c sont des termes concrets *)
+
+Goal forall i j k,
+  ((i == j) || (j == k) || (k == i)) && ((negb (i == j)) || (negb (j == k)) || (negb (k == i))) && ((negb (i == j)) || (j == k)) && ((negb (j == k)) || (k == i)) && ((negb (k == i)) || (i == j)) = false.
+Proof.
+  zchaff.
+Qed.
+
+Goal forall i j k,
+  let a := i == j in
+  let b := j == k in
+  let c := k == i in
+  (a || b || c) && ((negb a) || (negb b) || (negb c)) && ((negb a) || b) && ((negb b) || c) && ((negb c) || a) = false.
+Proof.
+  zchaff.
+Qed.
+
+
+(* sat6.smt *)
+(* (a ∧ b) ∧ (c ∨ d) ∧ ¬(c ∨ (a ∧ b ∧ d)) = ⊥ *)
+
+Goal forall a b c d, ((a && b) && (c || d) && (negb (c || (a && b && d)))) = false.
+Proof.
+  zchaff.
+Qed.
+
+
+(* sat7.smt *)
+(* a ∧ b ∧ c ∧ (¬a ∨ ¬b ∨ d) ∧ (¬d ∨ ¬c) = ⊥ *)
+
+Goal forall a b c d, (a && b && c && ((negb a) || (negb b) || d) && ((negb d) || (negb c))) = false.
+Proof.
+  zchaff.
+Qed.
+
+
+(* Other connectors *)
+
+Goal (false || true) && false = false.
+Proof.
+  zchaff.
+Qed.
+
+
+Goal negb true = false.
+Proof.
+  zchaff.
+Qed.
+
+
+Goal false = false.
+Proof.
+  zchaff.
+Qed.
+
+
+Goal forall x y, Bool.eqb (xorb x y) ((x && (negb y)) || ((negb x) && y)).
+Proof.
+  zchaff.
+Qed.
+
+
+Goal forall x y, Bool.eqb (implb x y) ((x && y) || (negb x)).
+Proof.
+  zchaff.
+Qed.
+
+
+Goal forall x y z, Bool.eqb (ifb x y z) ((x && y) || ((negb x) && z)).
+Proof.
+  zchaff.
+Qed.
+
+
+(* Multiple negations *)
+
+Goal forall a, orb a (negb (negb (negb a))) = true.
+Proof.
+  zchaff.
+Qed.
+
+
+(* Polarities *)
+
+Goal forall a b, andb (orb a b) (negb (orb a b)) = false.
+Proof.
+  zchaff.
+Qed.
+
+
+Goal forall a b, andb (orb a b) (andb (negb a) (negb b)) = false.
+Proof.
+  zchaff.
+Qed.
+
+
+(* Pigeon hole: 4 holes, 5 pigeons. xij stands for "pidgeon i goes to
+   hole j". *)
+
+Goal forall x11 x12 x13 x14 x15 x21 x22 x23 x24 x25 x31 x32 x33 x34 x35 x41 x42 x43 x44 x45, (
+  (orb (negb x11) (negb x21)) &&
+  (orb (negb x11) (negb x31)) &&
+  (orb (negb x11) (negb x41)) &&
+  (orb (negb x21) (negb x31)) &&
+  (orb (negb x21) (negb x41)) &&
+  (orb (negb x31) (negb x41)) &&
+
+  (orb (negb x12) (negb x22)) &&
+  (orb (negb x12) (negb x32)) &&
+  (orb (negb x12) (negb x42)) &&
+  (orb (negb x22) (negb x32)) &&
+  (orb (negb x22) (negb x42)) &&
+  (orb (negb x32) (negb x42)) &&
+
+  (orb (negb x13) (negb x23)) &&
+  (orb (negb x13) (negb x33)) &&
+  (orb (negb x13) (negb x43)) &&
+  (orb (negb x23) (negb x33)) &&
+  (orb (negb x23) (negb x43)) &&
+  (orb (negb x33) (negb x43)) &&
+
+  (orb (negb x14) (negb x24)) &&
+  (orb (negb x14) (negb x34)) &&
+  (orb (negb x14) (negb x44)) &&
+  (orb (negb x24) (negb x34)) &&
+  (orb (negb x24) (negb x44)) &&
+  (orb (negb x34) (negb x44)) &&
+
+  (orb (negb x15) (negb x25)) &&
+  (orb (negb x15) (negb x35)) &&
+  (orb (negb x15) (negb x45)) &&
+  (orb (negb x25) (negb x35)) &&
+  (orb (negb x25) (negb x45)) &&
+  (orb (negb x35) (negb x45)) &&
+
+
+  (orb (negb x11) (negb x12)) &&
+  (orb (negb x11) (negb x13)) &&
+  (orb (negb x11) (negb x14)) &&
+  (orb (negb x11) (negb x15)) &&
+  (orb (negb x12) (negb x13)) &&
+  (orb (negb x12) (negb x14)) &&
+  (orb (negb x12) (negb x15)) &&
+  (orb (negb x13) (negb x14)) &&
+  (orb (negb x13) (negb x15)) &&
+  (orb (negb x14) (negb x15)) &&
+
+  (orb (negb x21) (negb x22)) &&
+  (orb (negb x21) (negb x23)) &&
+  (orb (negb x21) (negb x24)) &&
+  (orb (negb x21) (negb x25)) &&
+  (orb (negb x22) (negb x23)) &&
+  (orb (negb x22) (negb x24)) &&
+  (orb (negb x22) (negb x25)) &&
+  (orb (negb x23) (negb x24)) &&
+  (orb (negb x23) (negb x25)) &&
+  (orb (negb x24) (negb x25)) &&
+
+  (orb (negb x31) (negb x32)) &&
+  (orb (negb x31) (negb x33)) &&
+  (orb (negb x31) (negb x34)) &&
+  (orb (negb x31) (negb x35)) &&
+  (orb (negb x32) (negb x33)) &&
+  (orb (negb x32) (negb x34)) &&
+  (orb (negb x32) (negb x35)) &&
+  (orb (negb x33) (negb x34)) &&
+  (orb (negb x33) (negb x35)) &&
+  (orb (negb x34) (negb x35)) &&
+
+  (orb (negb x41) (negb x42)) &&
+  (orb (negb x41) (negb x43)) &&
+  (orb (negb x41) (negb x44)) &&
+  (orb (negb x41) (negb x45)) &&
+  (orb (negb x42) (negb x43)) &&
+  (orb (negb x42) (negb x44)) &&
+  (orb (negb x42) (negb x45)) &&
+  (orb (negb x43) (negb x44)) &&
+  (orb (negb x43) (negb x45)) &&
+  (orb (negb x44) (negb x45)) &&
+
+
+  (orb (orb (orb x11 x21) x31) x41) &&
+  (orb (orb (orb x12 x22) x32) x42) &&
+  (orb (orb (orb x13 x23) x33) x43) &&
+  (orb (orb (orb x14 x24) x34) x44) &&
+  (orb (orb (orb x15 x25) x35) x45)) = false.
+Proof.
+  zchaff.
+Qed.
+
+
+(* Counter examples *)
+
+(*
+Goal forall x, x && (negb x).
+Proof.
+  zchaff.
+Abort.
+
+Goal forall x y, (implb (implb x y) (implb y x)).
+Proof.
+  zchaff.
+Abort.
+
+(* Pigeon hole: 4 holes, 4 pigeons. xij stands for "pidgeon i goes to
+   hole j". *)
+
+Goal forall x11 x12 x13 x14 x21 x22 x23 x24 x31 x32 x33 x34 x41 x42 x43 x44, (
+  (orb (negb x11) (negb x21)) &&
+  (orb (negb x11) (negb x31)) &&
+  (orb (negb x11) (negb x41)) &&
+  (orb (negb x21) (negb x31)) &&
+  (orb (negb x21) (negb x41)) &&
+  (orb (negb x31) (negb x41)) &&
+
+  (orb (negb x12) (negb x22)) &&
+  (orb (negb x12) (negb x32)) &&
+  (orb (negb x12) (negb x42)) &&
+  (orb (negb x22) (negb x32)) &&
+  (orb (negb x22) (negb x42)) &&
+  (orb (negb x32) (negb x42)) &&
+
+  (orb (negb x13) (negb x23)) &&
+  (orb (negb x13) (negb x33)) &&
+  (orb (negb x13) (negb x43)) &&
+  (orb (negb x23) (negb x33)) &&
+  (orb (negb x23) (negb x43)) &&
+  (orb (negb x33) (negb x43)) &&
+
+  (orb (negb x14) (negb x24)) &&
+  (orb (negb x14) (negb x34)) &&
+  (orb (negb x14) (negb x44)) &&
+  (orb (negb x24) (negb x34)) &&
+  (orb (negb x24) (negb x44)) &&
+  (orb (negb x34) (negb x44)) &&
+
+
+  (orb (negb x11) (negb x12)) &&
+  (orb (negb x11) (negb x13)) &&
+  (orb (negb x11) (negb x14)) &&
+  (orb (negb x12) (negb x13)) &&
+  (orb (negb x12) (negb x14)) &&
+  (orb (negb x13) (negb x14)) &&
+
+  (orb (negb x21) (negb x22)) &&
+  (orb (negb x21) (negb x23)) &&
+  (orb (negb x21) (negb x24)) &&
+  (orb (negb x22) (negb x23)) &&
+  (orb (negb x22) (negb x24)) &&
+  (orb (negb x23) (negb x24)) &&
+
+  (orb (negb x31) (negb x32)) &&
+  (orb (negb x31) (negb x33)) &&
+  (orb (negb x31) (negb x34)) &&
+  (orb (negb x32) (negb x33)) &&
+  (orb (negb x32) (negb x34)) &&
+  (orb (negb x33) (negb x34)) &&
+
+  (orb (negb x41) (negb x42)) &&
+  (orb (negb x41) (negb x43)) &&
+  (orb (negb x41) (negb x44)) &&
+  (orb (negb x42) (negb x43)) &&
+  (orb (negb x42) (negb x44)) &&
+  (orb (negb x43) (negb x44)) &&
+
+
+  (orb (orb (orb x11 x21) x31) x41) &&
+  (orb (orb (orb x12 x22) x32) x42) &&
+  (orb (orb (orb x13 x23) x33) x43) &&
+  (orb (orb (orb x14 x24) x34) x44)) = false.
+Proof.
+  zchaff.
+Abort.
+*)
+
+
+(* veriT vernacular commands *)
+
+Section Checker_Sat1.
+  Verit_Checker "sat1.smt2" "sat1.vtlog".
+End Checker_Sat1.
+
+Section Checker_Sat2.
+  Verit_Checker "sat2.smt2" "sat2.vtlog".
+End Checker_Sat2.
+
+Section Checker_Sat3.
+  Verit_Checker "sat3.smt2" "sat3.vtlog".
+End Checker_Sat3.
+
+Section Checker_Sat4.
+  Verit_Checker "sat4.smt2" "sat4.vtlog".
+End Checker_Sat4.
+
+Section Checker_Sat5.
+  Verit_Checker "sat5.smt2" "sat5.vtlog".
+End Checker_Sat5.
+
+Section Checker_Sat6.
+  Verit_Checker "sat6.smt2" "sat6.vtlog".
+End Checker_Sat6.
+
+Section Checker_Sat7.
+  Verit_Checker "sat7.smt2" "sat7.vtlog".
+End Checker_Sat7.
+
+Section Checker_Sat8.
+  Verit_Checker "sat8.smt2" "sat8.vtlog".
+End Checker_Sat8.
+
+Section Checker_Sat9.
+  Verit_Checker "sat9.smt2" "sat9.vtlog".
+End Checker_Sat9.
+(*
+Section Checker_Sat10.
+  Verit_Checker "sat10.smt2" "sat10.vtlog".
+End Checker_Sat10.
+*)
+Section Checker_Sat11.
+  Verit_Checker "sat11.smt2" "sat11.vtlog".
+End Checker_Sat11.
+
+Section Checker_Sat12.
+  Verit_Checker "sat12.smt2" "sat12.vtlog".
+End Checker_Sat12.
+
+Section Checker_Sat13.
+  Verit_Checker "sat13.smt2" "sat13.vtlog".
+End Checker_Sat13.
+
+Section Checker_Hole4.
+  Verit_Checker "hole4.smt2" "hole4.vtlog".
+End Checker_Hole4.
+
+Section Checker_Uf1.
+  Verit_Checker "uf1.smt2" "uf1.vtlog".
+End Checker_Uf1.
+
+Section Checker_Uf2.
+  Verit_Checker "uf2.smt2" "uf2.vtlog".
+End Checker_Uf2.
+
+Section Checker_Uf3.
+  Verit_Checker "uf3.smt2" "uf3.vtlog".
+End Checker_Uf3.
+
+Section Checker_Uf4.
+  Verit_Checker "uf4.smt2" "uf4.vtlog".
+End Checker_Uf4.
+
+Section Checker_Uf5.
+  Verit_Checker "uf5.smt2" "uf5.vtlog".
+End Checker_Uf5.
+
+Section Checker_Uf6.
+  Verit_Checker "uf6.smt2" "uf6.vtlog".
+End Checker_Uf6.
+
+Section Checker_Uf7.
+  Verit_Checker "uf7.smt2" "uf7.vtlog".
+End Checker_Uf7.
+
+Section Checker_Lia1.
+  Verit_Checker "lia1.smt2" "lia1.vtlog".
+End Checker_Lia1.
+
+Section Checker_Lia2.
+  Verit_Checker "lia2.smt2" "lia2.vtlog".
+End Checker_Lia2.
+
+Section Checker_Lia3.
+  Verit_Checker "lia3.smt2" "lia3.vtlog".
+End Checker_Lia3.
+
+Section Checker_Lia4.
+  Verit_Checker "lia4.smt2" "lia4.vtlog".
+End Checker_Lia4.
+
+Section Checker_Lia5.
+  Verit_Checker "lia5.smt2" "lia5.vtlog".
+End Checker_Lia5.
+
+Section Checker_Lia6.
+  Verit_Checker "lia6.smt2" "lia6.vtlog".
+End Checker_Lia6.
+
+Section Checker_Lia7.
+  Verit_Checker "lia7.smt2" "lia7.vtlog".
+End Checker_Lia7.
+
+(* Section Checker_Let1. *)
+(*   Verit_Checker "let1.smt2" "let1.vtlog". *)
+(* End Checker_Let1. *)
+
+(* Section Checker_Let2. *)
+(*   Verit_Checker "let2.smt2" "let2.vtlog". *)
+(* End Checker_Let2. *)
+
+
+Section Sat1.
+  Parse_certif_verit t_i1 t_func1 t_atom1 t_form1 root1 used_roots1 trace1 "sat1.smt2" "sat1.vtlog".
+  Compute Euf_Checker.checker t_i1 t_func1 t_atom1 t_form1 root1 used_roots1 trace1.
+End Sat1.
+
+Section Sat2.
+  Parse_certif_verit t_i2 t_func2 t_atom2 t_form2 root2 used_roots2 trace2 "sat2.smt2" "sat2.vtlog".
+  Compute Euf_Checker.checker t_i2 t_func2 t_atom2 t_form2 root2 used_roots2 trace2.
+End Sat2.
+
+Section Sat3.
+  Parse_certif_verit t_i3 t_func3 t_atom3 t_form3 root3 used_roots3 trace3 "sat3.smt2" "sat3.vtlog".
+  Compute Euf_Checker.checker t_i3 t_func3 t_atom3 t_form3 root3 used_roots3 trace3.
+End Sat3.
+
+Section Sat4.
+  Parse_certif_verit t_i4 t_func4 t_atom4 t_form4 root4 used_roots4 trace4 "sat4.smt2" "sat4.vtlog".
+  Compute Euf_Checker.checker t_i4 t_func4 t_atom4 t_form4 root4 used_roots4 trace4.
+End Sat4.
+
+Section Sat5.
+  Parse_certif_verit t_i5 t_func5 t_atom5 t_form5 root5 used_roots5 trace5 "sat5.smt2" "sat5.vtlog".
+  Compute Euf_Checker.checker t_i5 t_func5 t_atom5 t_form5 root5 used_roots5 trace5.
+End Sat5.
+
+Section Sat6.
+  Parse_certif_verit t_i6 t_func6 t_atom6 t_form6 root6 used_roots6 trace6 "sat6.smt2" "sat6.vtlog".
+  Compute Euf_Checker.checker t_i6 t_func6 t_atom6 t_form6 root6 used_roots6 trace6.
+End Sat6.
+
+Section Sat7.
+  Parse_certif_verit t_i7 t_func7 t_atom7 t_form7 root7 used_roots7 trace7 "sat7.smt2" "sat7.vtlog".
+  Compute Euf_Checker.checker t_i7 t_func7 t_atom7 t_form7 root7 used_roots7 trace7.
+End Sat7.
+
+Section Sat8.
+  Parse_certif_verit t_i8 t_func8 t_atom8 t_form8 root8 used_roots8 trace8 "sat8.smt2" "sat8.vtlog".
+  Compute Euf_Checker.checker t_i8 t_func8 t_atom8 t_form8 root8 used_roots8 trace8.
+End Sat8.
+
+Section Sat9.
+  Parse_certif_verit t_i9 t_func9 t_atom9 t_form9 root9 used_roots9 trace9 "sat9.smt2" "sat9.vtlog".
+  Compute Euf_Checker.checker t_i9 t_func9 t_atom9 t_form9 root9 used_roots9 trace9.
+End Sat9.
+(*
+Section Sat10.
+  Parse_certif_verit t_i10 t_func10 t_atom10 t_form10 root10 used_roots10 trace10 "sat10.smt2" "sat10.vtlog".
+  Compute Euf_Checker.checker t_i10 t_func10 t_atom10 t_form10 root10 used_roots10 trace10.
+End Sat10.
+*)
+Section Sat11.
+  Parse_certif_verit t_i11 t_func11 t_atom11 t_form11 root11 used_roots11 trace11 "sat11.smt2" "sat11.vtlog".
+  Compute Euf_Checker.checker t_i11 t_func11 t_atom11 t_form11 root11 used_roots11 trace11.
+End Sat11.
+
+Section Sat12.
+  Parse_certif_verit t_i12 t_func12 t_atom12 t_form12 root12 used_roots12 trace12 "sat12.smt2" "sat12.vtlog".
+  Compute Euf_Checker.checker t_i12 t_func12 t_atom12 t_form12 root12 used_roots12 trace12.
+End Sat12.
+
+Section Hole4.
+  Parse_certif_verit t_i_hole4 t_func_hole4 t_atom_hole4 t_form_hole4 root_hole4 used_roots_hole4 trace_hole4 "hole4.smt2" "hole4.vtlog".
+  Compute Euf_Checker.checker t_i_hole4 t_func_hole4 t_atom_hole4 t_form_hole4 root_hole4 used_roots_hole4 trace_hole4.
+End Hole4.
+
+Section Uf1.
+  Parse_certif_verit t_i_uf1 t_func_uf1 t_atom_uf1 t_form_uf1 root_uf1 used_roots_uf1 trace_uf1 "uf1.smt2" "uf1.vtlog".
+  Compute Euf_Checker.checker t_i_uf1 t_func_uf1 t_atom_uf1 t_form_uf1 root_uf1 used_roots_uf1 trace_uf1.
+End Uf1.
+
+Section Uf2.
+  Parse_certif_verit t_i_uf2 t_func_uf2 t_atom_uf2 t_form_uf2 root_uf2 used_roots_uf2 trace_uf2 "uf2.smt2" "uf2.vtlog".
+  Compute Euf_Checker.checker t_i_uf2 t_func_uf2 t_atom_uf2 t_form_uf2 root_uf2 used_roots_uf2 trace_uf2.
+End Uf2.
+
+Section Uf3.
+  Parse_certif_verit t_i_uf3 t_func_uf3 t_atom_uf3 t_form_uf3 root_uf3 used_roots_uf3 trace_uf3 "uf3.smt2" "uf3.vtlog".
+  Compute Euf_Checker.checker t_i_uf3 t_func_uf3 t_atom_uf3 t_form_uf3 root_uf3 used_roots_uf3 trace_uf3.
+End Uf3.
+
+Section Uf4.
+  Parse_certif_verit t_i_uf4 t_func_uf4 t_atom_uf4 t_form_uf4 root_uf4 used_roots_uf4 trace_uf4 "uf4.smt2" "uf4.vtlog".
+  Compute Euf_Checker.checker t_i_uf4 t_func_uf4 t_atom_uf4 t_form_uf4 root_uf4 used_roots_uf4 trace_uf4.
+End Uf4.
+
+Section Uf5.
+  Parse_certif_verit t_i_uf5 t_func_uf5 t_atom_uf5 t_form_uf5 root_uf5 used_roots_uf5 trace_uf5 "uf5.smt2" "uf5.vtlog".
+  Compute Euf_Checker.checker t_i_uf5 t_func_uf5 t_atom_uf5 t_form_uf5 root_uf5 used_roots_uf5 trace_uf5.
+End Uf5.
+
+Section Uf6.
+  Parse_certif_verit t_i_uf6 t_func_uf6 t_atom_uf6 t_form_uf6 root_uf6 used_roots_uf6 trace_uf6 "uf6.smt2" "uf6.vtlog".
+  Compute Euf_Checker.checker t_i_uf6 t_func_uf6 t_atom_uf6 t_form_uf6 root_uf6 used_roots_uf6 trace_uf6.
+End Uf6.
+
+Section Uf7.
+  Parse_certif_verit t_i_uf7 t_func_uf7 t_atom_uf7 t_form_uf7 root_uf7 used_roots_uf7 trace_uf7 "uf7.smt2" "uf7.vtlog".
+  Compute Euf_Checker.checker t_i_uf7 t_func_uf7 t_atom_uf7 t_form_uf7 root_uf7 used_roots_uf7 trace_uf7.
+End Uf7.
+
+Section Lia1.
+  Parse_certif_verit t_i_lia1 t_func_lia1 t_atom_lia1 t_form_lia1 root_lia1 used_roots_lia1 trace_lia1 "lia1.smt2" "lia1.vtlog".
+  Compute Euf_Checker.checker t_i_lia1 t_func_lia1 t_atom_lia1 t_form_lia1 root_lia1 used_roots_lia1 trace_lia1.
+End Lia1.
+
+Section Lia2.
+  Parse_certif_verit t_i_lia2 t_func_lia2 t_atom_lia2 t_form_lia2 root_lia2 used_roots_lia2 trace_lia2 "lia2.smt2" "lia2.vtlog".
+  Compute Euf_Checker.checker t_i_lia2 t_func_lia2 t_atom_lia2 t_form_lia2 root_lia2 used_roots_lia2 trace_lia2.
+End Lia2.
+
+Section Lia3.
+  Parse_certif_verit t_i_lia3 t_func_lia3 t_atom_lia3 t_form_lia3 root_lia3 used_roots_lia3 trace_lia3 "lia3.smt2" "lia3.vtlog".
+  Compute Euf_Checker.checker t_i_lia3 t_func_lia3 t_atom_lia3 t_form_lia3 root_lia3 used_roots_lia3 trace_lia3.
+End Lia3.
+
+Section Lia4.
+  Parse_certif_verit t_i_lia4 t_func_lia4 t_atom_lia4 t_form_lia4 root_lia4 used_roots_lia4 trace_lia4 "lia4.smt2" "lia4.vtlog".
+  Compute Euf_Checker.checker t_i_lia4 t_func_lia4 t_atom_lia4 t_form_lia4 root_lia4 used_roots_lia4 trace_lia4.
+End Lia4.
+
+Section Lia5.
+  Parse_certif_verit t_i_lia5 t_func_lia5 t_atom_lia5 t_form_lia5 root_lia5 used_roots_lia5 trace_lia5 "lia5.smt2" "lia5.vtlog".
+  Compute Euf_Checker.checker t_i_lia5 t_func_lia5 t_atom_lia5 t_form_lia5 root_lia5 used_roots_lia5 trace_lia5.
+End Lia5.
+
+Section Lia6.
+  Parse_certif_verit t_i_lia6 t_func_lia6 t_atom_lia6 t_form_lia6 root_lia6 used_roots_lia6 trace_lia6 "lia6.smt2" "lia6.vtlog".
+  Compute Euf_Checker.checker t_i_lia6 t_func_lia6 t_atom_lia6 t_form_lia6 root_lia6 used_roots_lia6 trace_lia6.
+End Lia6.
+
+Section Lia7.
+  Parse_certif_verit t_i_lia7 t_func_lia7 t_atom_lia7 t_form_lia7 root_lia7 used_roots_lia7 trace_lia7 "lia7.smt2" "lia7.vtlog".
+  Compute Euf_Checker.checker t_i_lia7 t_func_lia7 t_atom_lia7 t_form_lia7 root_lia7 used_roots_lia7 trace_lia7.
+End Lia7.
+
+(* Section Let1. *)
+(*   Parse_certif_verit t_i_let1 t_func_let1 t_atom_let1 t_form_let1 root_let1 used_roots_let1 trace_let1 "let1.smt2" "let1.vtlog". *)
+(*   Compute Euf_Checker.checker t_i_let1 t_func_let1 t_atom_let1 t_form_let1 root_let1 used_roots_let1 trace_let1. *)
+(* End Let1. *)
+
+(* Section Let2. *)
+(*   Parse_certif_verit t_i_let2 t_func_let2 t_atom_let2 t_form_let2 root_let2 used_roots_let2 trace_let2 "let2.smt2" "let2.vtlog". *)
+(*   Compute Euf_Checker.checker t_i_let2 t_func_let2 t_atom_let2 t_form_let2 root_let2 used_roots_let2 trace_let2. *)
+(* End Let2. *)
+
+
+Section Theorem_Sat1.
+  Time Verit_Theorem theorem_sat1 "sat1.smt2" "sat1.vtlog".
+End Theorem_Sat1.
+
+Section Theorem_Sat2.
+  Time Verit_Theorem theorem_sat2 "sat2.smt2" "sat2.vtlog".
+End Theorem_Sat2.
+
+Section Theorem_Sat3.
+  Time Verit_Theorem theorem_sat3 "sat3.smt2" "sat3.vtlog".
+End Theorem_Sat3.
+
+Section Theorem_Sat4.
+  Time Verit_Theorem theorem_sat4 "sat4.smt2" "sat4.vtlog".
+End Theorem_Sat4.
+
+Section Theorem_Sat5.
+  Time Verit_Theorem theorem_sat5 "sat5.smt2" "sat5.vtlog".
+End Theorem_Sat5.
+
+Section Theorem_Sat6.
+  Time Verit_Theorem theorem_sat6 "sat6.smt2" "sat6.vtlog".
+End Theorem_Sat6.
+
+Section Theorem_Sat7.
+  Time Verit_Theorem theorem_sat7 "sat7.smt2" "sat7.vtlog".
+End Theorem_Sat7.
+
+Section Theorem_Sat8.
+  Time Verit_Theorem theorem_sat8 "sat8.smt2" "sat8.vtlog".
+End Theorem_Sat8.
+
+Section Theorem_Sat9.
+  Time Verit_Theorem theorem_sat9 "sat9.smt2" "sat9.vtlog".
+End Theorem_Sat9.
+(*
+Section Theorem_Sat10.
+  Time Verit_Theorem theorem_sat10 "sat10.smt2" "sat10.vtlog".
+End Theorem_Sat10.
+*)
+Section Theorem_Sat11.
+  Time Verit_Theorem theorem_sat11 "sat11.smt2" "sat11.vtlog".
+End Theorem_Sat11.
+
+Section Theorem_Sat12.
+  Time Verit_Theorem theorem_sat12 "sat12.smt2" "sat12.vtlog".
+End Theorem_Sat12.
+
+Section Theorem_Hole4.
+  Time Verit_Theorem theorem_hole4 "hole4.smt2" "hole4.vtlog".
+End Theorem_Hole4.
+
+Section Theorem_Uf1.
+  Time Verit_Theorem theorem_uf1 "uf1.smt2" "uf1.vtlog".
+End Theorem_Uf1.
+
+Section Theorem_Uf2.
+  Time Verit_Theorem theorem_uf2 "uf2.smt2" "uf2.vtlog".
+End Theorem_Uf2.
+
+Section Theorem_Uf3.
+  Time Verit_Theorem theorem_uf3 "uf3.smt2" "uf3.vtlog".
+End Theorem_Uf3.
+
+Section Theorem_Uf4.
+  Time Verit_Theorem theorem_uf4 "uf4.smt2" "uf4.vtlog".
+End Theorem_Uf4.
+
+Section Theorem_Uf5.
+  Time Verit_Theorem theorem_uf5 "uf5.smt2" "uf5.vtlog".
+End Theorem_Uf5.
+
+Section Theorem_Uf6.
+  Time Verit_Theorem theorem_uf6 "uf6.smt2" "uf6.vtlog".
+End Theorem_Uf6.
+
+Section Theorem_Uf7.
+  Time Verit_Theorem theorem_uf7 "uf7.smt2" "uf7.vtlog".
+End Theorem_Uf7.
+
+Section Theorem_Lia1.
+  Time Verit_Theorem theorem_lia1 "lia1.smt2" "lia1.vtlog".
+End Theorem_Lia1.
+
+Section Theorem_Lia2.
+  Time Verit_Theorem theorem_lia2 "lia2.smt2" "lia2.vtlog".
+End Theorem_Lia2.
+
+Section Theorem_Lia3.
+  Time Verit_Theorem theorem_lia3 "lia3.smt2" "lia3.vtlog".
+End Theorem_Lia3.
+
+Section Theorem_Lia4.
+  Time Verit_Theorem theorem_lia4 "lia4.smt2" "lia4.vtlog".
+End Theorem_Lia4.
+
+Section Theorem_Lia5.
+  Time Verit_Theorem theorem_lia5 "lia5.smt2" "lia5.vtlog".
+End Theorem_Lia5.
+
+Section Theorem_Lia6.
+  Time Verit_Theorem theorem_lia6 "lia6.smt2" "lia6.vtlog".
+End Theorem_Lia6.
+
+Section Theorem_Lia7.
+  Time Verit_Theorem theorem_lia7 "lia7.smt2" "lia7.vtlog".
+End Theorem_Lia7.
+
+(* Section Theorem_Let1. *)
+(*   Time Verit_Theorem theorem_let1 "let1.smt2" "let1.vtlog". *)
+(* End Theorem_Let1. *)
+
+(* Section Theorem_Let2. *)
+(*   Time Verit_Theorem theorem_let2 "let2.smt2" "let2.vtlog". *)
+(* End Theorem_Let2. *)
+
+
+(* verit tactic *)
+
+(* Simple connectors *)
+
+Goal forall (a:bool), a || negb a.
+  verit.
+Qed.
+
+Goal forall a, negb (a || negb a) = false.
+  verit.
+Qed.
+
+Goal forall a, (a && negb a) = false.
+  verit.
+Qed.
+
+Goal forall a, negb (a && negb a).
+  verit.
+Qed.
+
+Goal forall a, implb a a.
+  verit.
+Qed.
+
+Goal forall a, negb (implb a a) = false.
+  verit.
+Qed.
+
+Goal forall a , (xorb a a) || negb (xorb a a).
+  verit.
+Qed.
+Print Unnamed_thm5.
+
+Goal forall a, (a||negb a) || negb (a||negb a).
+  verit.
+Qed.
+
+Goal true.
+  verit.
+Qed.
+
+Goal negb false.
+  verit.
+Qed.
+
+Goal forall a, Bool.eqb a a.
+Proof.
+  verit.
+Qed.
+
+Goal forall (a:bool), a = a.
+  verit.
+Qed.
+
+
+(* Other connectors *)
+
+Goal (false || true) && false = false.
+Proof.
+  verit.
+Qed.
+
+
+Goal negb true = false.
+Proof.
+  verit.
+Qed.
+
+
+Goal false = false.
+Proof.
+  verit.
+Qed.
+
+
+Goal forall x y, Bool.eqb (xorb x y) ((x && (negb y)) || ((negb x) && y)).
+Proof.
+  verit.
+Qed.
+
+
+Goal forall x y, Bool.eqb (implb x y) ((x && y) || (negb x)).
+Proof.
+  verit.
+Qed.
+
+
+Goal forall x y z, Bool.eqb (ifb x y z) ((x && y) || ((negb x) && z)).
+Proof.
+  verit.
+Qed.
+
+
+(* Multiple negations *)
+
+Goal forall a, orb a (negb (negb (negb a))) = true.
+Proof.
+  verit.
+Qed.
+
+
+(* Polarities *)
+
+Goal forall a b, andb (orb a b) (negb (orb a b)) = false.
+Proof.
+  verit.
+Qed.
+
+
+Goal forall a b, andb (orb a b) (andb (negb a) (negb b)) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* sat2.smt *)
+(* ((a ∧ b) ∨ (b ∧ c)) ∧ ¬b = ⊥ *)
+
+Goal forall a b c, (((a && b) || (b && c)) && (negb b)) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* sat3.smt *)
+(* (a ∨ a) ∧ ¬a = ⊥ *)
+
+Goal forall a, ((a || a) && (negb a)) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* sat4.smt *)
+(* ¬(a ∨ ¬a) = ⊥ *)
+
+Goal forall a, (negb (a || (negb a))) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* sat5.smt *)
+(* (a ∨ b ∨ c) ∧ (¬a ∨ ¬b ∨ ¬c) ∧ (¬a ∨ b) ∧ (¬b ∨ c) ∧ (¬c ∨ a) = ⊥ *)
+
+Goal forall a b c,
+  (a || b || c) && ((negb a) || (negb b) || (negb c)) && ((negb a) || b) && ((negb b) || c) && ((negb c) || a) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* Le même, mais où a, b et c sont des termes concrets *)
+
+Goal forall i j k,
+  let a := i == j in
+  let b := j == k in
+  let c := k == i in
+  (a || b || c) && ((negb a) || (negb b) || (negb c)) && ((negb a) || b) && ((negb b) || c) && ((negb c) || a) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* sat6.smt *)
+(* (a ∧ b) ∧ (c ∨ d) ∧ ¬(c ∨ (a ∧ b ∧ d)) = ⊥ *)
+
+Goal forall a b c d, ((a && b) && (c || d) && (negb (c || (a && b && d)))) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* sat7.smt *)
+(* a ∧ b ∧ c ∧ (¬a ∨ ¬b ∨ d) ∧ (¬d ∨ ¬c) = ⊥ *)
+
+Goal forall a b c d, (a && b && c && ((negb a) || (negb b) || d) && ((negb d) || (negb c))) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* Pigeon hole: 4 holes, 5 pigeons *)
+
+Goal forall x11 x12 x13 x14 x15 x21 x22 x23 x24 x25 x31 x32 x33 x34 x35 x41 x42 x43 x44 x45, (
+  (orb (negb x11) (negb x21)) &&
+  (orb (negb x11) (negb x31)) &&
+  (orb (negb x11) (negb x41)) &&
+  (orb (negb x21) (negb x31)) &&
+  (orb (negb x21) (negb x41)) &&
+  (orb (negb x31) (negb x41)) &&
+
+  (orb (negb x12) (negb x22)) &&
+  (orb (negb x12) (negb x32)) &&
+  (orb (negb x12) (negb x42)) &&
+  (orb (negb x22) (negb x32)) &&
+  (orb (negb x22) (negb x42)) &&
+  (orb (negb x32) (negb x42)) &&
+
+  (orb (negb x13) (negb x23)) &&
+  (orb (negb x13) (negb x33)) &&
+  (orb (negb x13) (negb x43)) &&
+  (orb (negb x23) (negb x33)) &&
+  (orb (negb x23) (negb x43)) &&
+  (orb (negb x33) (negb x43)) &&
+
+  (orb (negb x14) (negb x24)) &&
+  (orb (negb x14) (negb x34)) &&
+  (orb (negb x14) (negb x44)) &&
+  (orb (negb x24) (negb x34)) &&
+  (orb (negb x24) (negb x44)) &&
+  (orb (negb x34) (negb x44)) &&
+
+  (orb (negb x15) (negb x25)) &&
+  (orb (negb x15) (negb x35)) &&
+  (orb (negb x15) (negb x45)) &&
+  (orb (negb x25) (negb x35)) &&
+  (orb (negb x25) (negb x45)) &&
+  (orb (negb x35) (negb x45)) &&
+
+
+  (orb (negb x11) (negb x12)) &&
+  (orb (negb x11) (negb x13)) &&
+  (orb (negb x11) (negb x14)) &&
+  (orb (negb x11) (negb x15)) &&
+  (orb (negb x12) (negb x13)) &&
+  (orb (negb x12) (negb x14)) &&
+  (orb (negb x12) (negb x15)) &&
+  (orb (negb x13) (negb x14)) &&
+  (orb (negb x13) (negb x15)) &&
+  (orb (negb x14) (negb x15)) &&
+
+  (orb (negb x21) (negb x22)) &&
+  (orb (negb x21) (negb x23)) &&
+  (orb (negb x21) (negb x24)) &&
+  (orb (negb x21) (negb x25)) &&
+  (orb (negb x22) (negb x23)) &&
+  (orb (negb x22) (negb x24)) &&
+  (orb (negb x22) (negb x25)) &&
+  (orb (negb x23) (negb x24)) &&
+  (orb (negb x23) (negb x25)) &&
+  (orb (negb x24) (negb x25)) &&
+
+  (orb (negb x31) (negb x32)) &&
+  (orb (negb x31) (negb x33)) &&
+  (orb (negb x31) (negb x34)) &&
+  (orb (negb x31) (negb x35)) &&
+  (orb (negb x32) (negb x33)) &&
+  (orb (negb x32) (negb x34)) &&
+  (orb (negb x32) (negb x35)) &&
+  (orb (negb x33) (negb x34)) &&
+  (orb (negb x33) (negb x35)) &&
+  (orb (negb x34) (negb x35)) &&
+
+  (orb (negb x41) (negb x42)) &&
+  (orb (negb x41) (negb x43)) &&
+  (orb (negb x41) (negb x44)) &&
+  (orb (negb x41) (negb x45)) &&
+  (orb (negb x42) (negb x43)) &&
+  (orb (negb x42) (negb x44)) &&
+  (orb (negb x42) (negb x45)) &&
+  (orb (negb x43) (negb x44)) &&
+  (orb (negb x43) (negb x45)) &&
+  (orb (negb x44) (negb x45)) &&
+
+
+  (orb (orb (orb x11 x21) x31) x41) &&
+  (orb (orb (orb x12 x22) x32) x42) &&
+  (orb (orb (orb x13 x23) x33) x43) &&
+  (orb (orb (orb x14 x24) x34) x44) &&
+  (orb (orb (orb x15 x25) x35) x45)) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* uf1.smt *)
+
+Goal forall a b c f p, ((Zeq_bool a c) && (Zeq_bool b c) && ((negb (Zeq_bool (f a) (f b))) || ((p a) && (negb (p b))))) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* uf2.smt *)
+
+Goal forall a b c (p : Z -> bool), ((((p a) && (p b)) || ((p b) && (p c))) && (negb (p b))) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* uf3.smt *)
+
+Goal forall x y z f, ((Zeq_bool x y) && (Zeq_bool y z) && (negb (Zeq_bool (f x) (f z)))) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* uf4.smt *)
+
+Goal forall x y z f, ((negb (Zeq_bool (f x) (f y))) && (Zeq_bool y z) && (Zeq_bool (f x) (f (f z))) && (Zeq_bool x y)) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* uf5.smt *)
+
+Goal forall a b c d e f, ((Zeq_bool a b) && (Zeq_bool b c) && (Zeq_bool c d) && (Zeq_bool c e) && (Zeq_bool e f) && (negb (Zeq_bool a f))) = false.
+Proof.
+  verit.
+Qed.
+
+
+(* lia1.smt *)
+
+Goal forall x y z, implb ((x <=? 3) && ((y <=? 7) || (z <=? 9)))
+  ((x + y <=? 10) || (x + z <=? 12)) = true.
+Proof.
+  verit.
+Qed.
+
+(* lia2.smt *)
+
+Goal forall x, implb (Zeq_bool (x - 3) 7) (x >=? 10) = true.
+Proof.
+  verit.
+Qed.
+
+(* lia3.smt *)
+
+Goal forall x y, implb (x >? y) (y + 1 <=? x) = true.
+Proof.
+  verit.
+Qed.
+
+(* lia4.smt *)
+
+Goal forall x y, Bool.eqb (x <? y) (x <=? y - 1) = true.
+Proof.
+  verit.
+Qed.
+
+(* lia5.smt *)
+
+Goal forall x y, ((x + y <=? - (3)) && (y >=? 0)
+        || (x <=? - (3))) && (x >=? 0) = false.
+Proof.
+  verit.
+Qed.
+
+(* lia6.smt *)
+
+Goal forall x, implb (andb ((x - 3) <=? 7) (7 <=? (x - 3))) (x >=? 10) = true.
+Proof.
+  verit.
+Qed.
+
+(* lia7.smt *)
+
+Goal forall x, implb (Zeq_bool (x - 3) 7) (10 <=? x) = true.
+Proof.
+  verit.
+Qed.
+
+(* More general examples *)
+
+Goal forall a b c, ((a || b || c) && ((negb a) || (negb b) || (negb c)) && ((negb a) || b) && ((negb b) || c) && ((negb c) || a)) = false.
+Proof.
+  verit.
+Qed.
+
+
+Goal forall (a b : Z) (P : Z -> bool) (f : Z -> Z),
+  (negb (Zeq_bool (f a) b)) || (negb (P (f a))) || (P b).
+Proof.
+  verit.
+Qed.
+
+
+Goal forall b1 b2 x1 x2,
+  implb
+  (ifb b1
+    (ifb b2 (Zeq_bool (2*x1+1) (2*x2+1)) (Zeq_bool (2*x1+1) (2*x2)))
+    (ifb b2 (Zeq_bool (2*x1) (2*x2+1)) (Zeq_bool (2*x1) (2*x2))))
+  ((implb b1 b2) && (implb b2 b1) && (Zeq_bool x1 x2)).
+Proof.
+  verit.
+Qed.
+
+
+(* With let ... in ... *)
+
+Goal forall b,
+  let a := b in
+  a && (negb a) = false.
+Proof.
+  verit.
+Qed.
+
+Goal forall b,
+  let a := b in
+  a || (negb a) = true.
+Proof.
+  verit.
+Qed.
+(* Ne marche pas car la coercion is_true inclut le [let in]
+Goal forall b,
+  let a := b in
+  a || (negb a).
+Proof.
+  verit.
+Qed.
+*)
+
+(* With concrete terms *)
+
+Goal forall i j,
+  let a := i == j in
+  a && (negb a) = false.
+Proof.
+  verit.
+Qed.
+
+Goal forall i j,
+  let a := i == j in
+  a || (negb a) = true.
+Proof.
+  verit.
+Qed.
+
+Section Concret.
+  Goal forall i j,
+    (i == j) && (negb (i == j)) = false.
+  Proof.
+    verit.
+  Qed.
+End Concret.
+
+Section Concret2.
+  Lemma concret : forall i j, (i == j) || (negb (i == j)).
+  Proof.
+    verit.
+  Qed.
+  Check concret.
+End Concret2.
+Check concret.
+
+
+(* Congruence in which some premices are REFL *)
+
+Goal forall (f:Z -> Z -> Z) x y z,
+  implb (Zeq_bool x y) (Zeq_bool (f z x) (f z y)).
+Proof.
+  verit.
+Qed.
+
+Goal forall (P:Z -> Z -> bool) x y z,
+  implb (Zeq_bool x y) (implb (P z x) (P z y)).
+Proof.
+  verit.
+Qed.
diff --git a/unit-tests/cmu-bmc-barrel6.cnf b/unit-tests/cmu-bmc-barrel6.cnf
new file mode 100644
index 0000000..a25a2dc
--- /dev/null
+++ b/unit-tests/cmu-bmc-barrel6.cnf
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diff --git a/unit-tests/hole4.cnf b/unit-tests/hole4.cnf
new file mode 100644
index 0000000..9dd148c
--- /dev/null
+++ b/unit-tests/hole4.cnf
@@ -0,0 +1,76 @@
+p cnf 20 75
+1       2       3       4       0
+5       6       7       8       0
+9       10      11      12      0
+13      14      15      16      0
+17      18      19      20      0
+-1      -2      0
+-1      -3      0
+-1      -4      0
+-2      -3      0
+-2      -4      0
+-3      -4      0
+-5      -6      0
+-5      -7      0
+-5      -8      0
+-6      -7      0
+-6      -8      0
+-7      -8      0
+-9      -10     0
+-9      -11     0
+-9      -12     0
+-10     -11     0
+-10     -12     0
+-11     -12     0
+-13     -14     0
+-13     -15     0
+-13     -16     0
+-14     -15     0
+-14     -16     0
+-15     -16     0
+-17     -18     0
+-17     -19     0
+-17     -20     0
+-18     -19     0
+-18     -20     0
+-19     -20     0
+-1      -5      0
+-1      -9      0
+-1      -13     0
+-1      -17     0
+-5      -9      0
+-5      -13     0
+-5      -17     0
+-9      -13     0
+-9      -17     0
+-13     -17     0
+-2      -6      0
+-2      -10     0
+-2      -14     0
+-2      -18     0
+-6      -10     0
+-6      -14     0
+-6      -18     0
+-10     -14     0
+-10     -18     0
+-14     -18     0
+-3      -7      0
+-3      -11     0
+-3      -15     0
+-3      -19     0
+-7      -11     0
+-7      -15     0
+-7      -19     0
+-11     -15     0
+-11     -19     0
+-15     -19     0
+-4      -8      0
+-4      -12     0
+-4      -16     0
+-4      -20     0
+-8      -12     0
+-8      -16     0
+-8      -20     0
+-12     -16     0
+-12     -20     0
+-16     -20     0
diff --git a/unit-tests/hole4.smt2 b/unit-tests/hole4.smt2
new file mode 100644
index 0000000..816bd39
--- /dev/null
+++ b/unit-tests/hole4.smt2
@@ -0,0 +1,99 @@
+(set-logic QF_UF)
+(declare-fun a1 () Bool)
+(declare-fun a2 () Bool)
+(declare-fun a3 () Bool)
+(declare-fun a4 () Bool)
+(declare-fun a5 () Bool)
+(declare-fun a6 () Bool)
+(declare-fun a7 () Bool)
+(declare-fun a8 () Bool)
+(declare-fun a9 () Bool)
+(declare-fun a10 () Bool)
+(declare-fun a11 () Bool)
+(declare-fun a12 () Bool)
+(declare-fun a13 () Bool)
+(declare-fun a14 () Bool)
+(declare-fun a15 () Bool)
+(declare-fun a16 () Bool)
+(declare-fun a17 () Bool)
+(declare-fun a18 () Bool)
+(declare-fun a19 () Bool)
+(declare-fun a20 () Bool)
+(assert (and
+(or a1 a2 a3 a4)
+(or a5 a6 a7 a8)
+(or a9 a10 a11 a12)
+(or a13 a14 a15 a16)
+(or a17 a18 a19 a20)
+(or (not a1) (not a2))
+(or (not a1) (not a3))
+(or (not a1) (not a4))
+(or (not a2) (not a3))
+(or (not a2) (not a4))
+(or (not a3) (not a4))
+(or (not a5) (not a6))
+(or (not a5) (not a7))
+(or (not a5) (not a8))
+(or (not a6) (not a7))
+(or (not a6) (not a8))
+(or (not a7) (not a8))
+(or (not a9) (not a10))
+(or (not a9) (not a11))
+(or (not a9) (not a12))
+(or (not a10) (not a11))
+(or (not a10) (not a12))
+(or (not a11) (not a12))
+(or (not a13) (not a14))
+(or (not a13) (not a15))
+(or (not a13) (not a16))
+(or (not a14) (not a15))
+(or (not a14) (not a16))
+(or (not a15) (not a16))
+(or (not a17) (not a18))
+(or (not a17) (not a19))
+(or (not a17) (not a20))
+(or (not a18) (not a19))
+(or (not a18) (not a20))
+(or (not a19) (not a20))
+(or (not a1) (not a5))
+(or (not a1) (not a9))
+(or (not a1) (not a13))
+(or (not a1) (not a17))
+(or (not a5) (not a9))
+(or (not a5) (not a13))
+(or (not a5) (not a17))
+(or (not a9) (not a13))
+(or (not a9) (not a17))
+(or (not a13) (not a17))
+(or (not a2) (not a6))
+(or (not a2) (not a10))
+(or (not a2) (not a14))
+(or (not a2) (not a18))
+(or (not a6) (not a10))
+(or (not a6) (not a14))
+(or (not a6) (not a18))
+(or (not a10) (not a14))
+(or (not a10) (not a18))
+(or (not a14) (not a18))
+(or (not a3) (not a7))
+(or (not a3) (not a11))
+(or (not a3) (not a15))
+(or (not a3) (not a19))
+(or (not a7) (not a11))
+(or (not a7) (not a15))
+(or (not a7) (not a19))
+(or (not a11) (not a15))
+(or (not a11) (not a19))
+(or (not a15) (not a19))
+(or (not a4) (not a8))
+(or (not a4) (not a12))
+(or (not a4) (not a16))
+(or (not a4) (not a20))
+(or (not a8) (not a12))
+(or (not a8) (not a16))
+(or (not a8) (not a20))
+(or (not a12) (not a16))
+(or (not a12) (not a20))
+(or (not a16) (not a20))))
+(check-sat)
+(exit)
diff --git a/unit-tests/let1.smt2 b/unit-tests/let1.smt2
new file mode 100644
index 0000000..38b426c
--- /dev/null
+++ b/unit-tests/let1.smt2
@@ -0,0 +1,5 @@
+(set-logic QF_UF)
+(declare-fun a () Bool)
+(assert (let ((?v_1 (not (not a))) (?v_2 (not a))) (and ?v_1 ?v_2)))
+(check-sat)
+(exit)
diff --git a/unit-tests/let2.smt2 b/unit-tests/let2.smt2
new file mode 100644
index 0000000..5de04b5
--- /dev/null
+++ b/unit-tests/let2.smt2
@@ -0,0 +1,6 @@
+(set-logic QF_UF)
+(declare-fun a () Bool)
+(declare-fun b () Bool)
+(assert (let ((?v_1 (and a b)) (?v_2 (not a))) (and ?v_1 ?v_2)))
+(check-sat)
+(exit)
diff --git a/unit-tests/lia1.smt2 b/unit-tests/lia1.smt2
new file mode 100644
index 0000000..694ec17
--- /dev/null
+++ b/unit-tests/lia1.smt2
@@ -0,0 +1,7 @@
+(set-logic QF_LIA)
+(declare-fun x () Int)
+(declare-fun y () Int)
+(declare-fun z () Int)
+(assert (not (=> (and (<= x 3) (or (<= y 7) (<= z 9))) (or (<= (+ x y) 10) (<= (+ x z) 12)))))
+(check-sat)
+(exit)
diff --git a/unit-tests/lia2.smt2 b/unit-tests/lia2.smt2
new file mode 100644
index 0000000..2e9d9a0
--- /dev/null
+++ b/unit-tests/lia2.smt2
@@ -0,0 +1,5 @@
+(set-logic QF_LIA)
+(declare-fun x () Int)
+(assert (not (=> (= (- x 3) 7) (>= x 10))))
+(check-sat)
+(exit)
diff --git a/unit-tests/lia3.smt2 b/unit-tests/lia3.smt2
new file mode 100644
index 0000000..c9af34f
--- /dev/null
+++ b/unit-tests/lia3.smt2
@@ -0,0 +1,6 @@
+(set-logic QF_LIA)
+(declare-fun x () Int)
+(declare-fun y () Int)
+(assert (not (=> (> x y) (<= (+ y 1) x))))
+(check-sat)
+(exit)
diff --git a/unit-tests/lia4.smt2 b/unit-tests/lia4.smt2
new file mode 100644
index 0000000..dde6e91
--- /dev/null
+++ b/unit-tests/lia4.smt2
@@ -0,0 +1,6 @@
+(set-logic QF_LIA)
+(declare-fun x () Int)
+(declare-fun y () Int)
+(assert (not (= (< x y) (<= x (- y 1)))))
+(check-sat)
+(exit)
diff --git a/unit-tests/lia5.smt2 b/unit-tests/lia5.smt2
new file mode 100644
index 0000000..541aa6c
--- /dev/null
+++ b/unit-tests/lia5.smt2
@@ -0,0 +1,6 @@
+(set-logic QF_LIA)
+(declare-fun x () Int)
+(declare-fun y () Int)
+(assert (and (or (and (<= (+ x y) (- 3)) (>= y 0)) (<= x (- 3))) (>= x 0)))
+(check-sat)
+(exit)
diff --git a/unit-tests/lia6.smt2 b/unit-tests/lia6.smt2
new file mode 100644
index 0000000..a50fde8
--- /dev/null
+++ b/unit-tests/lia6.smt2
@@ -0,0 +1,5 @@
+(set-logic QF_LIA)
+(declare-fun x () Int)
+(assert (not (=> (and (<= (- x 3) 7) (<= 7 (- x 3))) (>= x 10))))
+(check-sat)
+(exit)
diff --git a/unit-tests/lia7.smt2 b/unit-tests/lia7.smt2
new file mode 100644
index 0000000..df290d0
--- /dev/null
+++ b/unit-tests/lia7.smt2
@@ -0,0 +1,5 @@
+(set-logic QF_LIA)
+(declare-fun x () Int)
+(assert (not (=> (= (- x 3) 7) (<= 10 x))))
+(check-sat)
+(exit)
diff --git a/unit-tests/runverit.sh b/unit-tests/runverit.sh
new file mode 100755
index 0000000..0b950e9
--- /dev/null
+++ b/unit-tests/runverit.sh
@@ -0,0 +1,7 @@
+#!/bin/bash
+
+count=1
+i=$1
+file=$(echo "$i" | sed "s/.smt2/.vtlog/")
+
+veriT --proof-prune --proof-merge --proof-with-sharing --cnf-definitional --disable-ackermann --input=smtlib2 --proof=$file $i
diff --git a/unit-tests/runzchaff.sh b/unit-tests/runzchaff.sh
new file mode 100755
index 0000000..651ab19
--- /dev/null
+++ b/unit-tests/runzchaff.sh
@@ -0,0 +1,8 @@
+#!/bin/bash
+
+count=1
+i=$1
+file=$(echo "$i" | sed "s/.cnf/.zlog/")
+
+zchaff $i
+mv resolve_trace $file
diff --git a/unit-tests/sat1.cnf b/unit-tests/sat1.cnf
new file mode 100644
index 0000000..41c00e0
--- /dev/null
+++ b/unit-tests/sat1.cnf
@@ -0,0 +1,3 @@
+p cnf 1 2
+1       0
+-1      0
diff --git a/unit-tests/sat1.smt2 b/unit-tests/sat1.smt2
new file mode 100644
index 0000000..f0a67bc
--- /dev/null
+++ b/unit-tests/sat1.smt2
@@ -0,0 +1,5 @@
+(set-logic QF_UF)
+(declare-fun a () Bool)
+(assert (and a (not a)))
+(check-sat)
+(exit)
diff --git a/unit-tests/sat10.smt2 b/unit-tests/sat10.smt2
new file mode 100644
index 0000000..1bcba51
--- /dev/null
+++ b/unit-tests/sat10.smt2
@@ -0,0 +1,7 @@
+(set-logic QF_UF)
+(declare-fun a () Bool)
+(declare-fun b () Bool)
+(declare-fun c () Bool)
+(assert (distinct a b c))
+(check-sat)
+(exit)
diff --git a/unit-tests/sat11.smt2 b/unit-tests/sat11.smt2
new file mode 100644
index 0000000..8912ada
--- /dev/null
+++ b/unit-tests/sat11.smt2
@@ -0,0 +1,8 @@
+(set-logic QF_UF)
+(declare-sort U 0)
+(declare-fun a () U)
+(declare-fun b () U)
+(declare-fun c () U)
+(assert (and (not (distinct a b c)) (not (= a b)) (not (= a c)) (not (= c b))))
+(check-sat)
+(exit)
diff --git a/unit-tests/sat12.smt2 b/unit-tests/sat12.smt2
new file mode 100644
index 0000000..6762004
--- /dev/null
+++ b/unit-tests/sat12.smt2
@@ -0,0 +1,11 @@
+(set-logic QF_UF)
+(declare-fun a () Bool)
+(declare-fun b () Bool)
+(declare-fun c () Bool)
+(declare-fun d () Bool)
+(assert (and a b))
+(assert (or c d))
+(assert (= a a))
+(assert (not (or c (and a b d))))
+(check-sat)
+(exit)
diff --git a/unit-tests/sat13.smt2 b/unit-tests/sat13.smt2
new file mode 100644
index 0000000..63bcdb8
--- /dev/null
+++ b/unit-tests/sat13.smt2
@@ -0,0 +1,7 @@
+(set-logic QF_UF)
+(declare-sort U 0)
+(declare-fun a () U)
+(declare-fun b () U)
+(assert (and (not (distinct a b)) (not (= a b))))
+(check-sat)
+(exit)
diff --git a/unit-tests/sat2.cnf b/unit-tests/sat2.cnf
new file mode 100644
index 0000000..fa572f4
--- /dev/null
+++ b/unit-tests/sat2.cnf
@@ -0,0 +1,6 @@
+p cnf 3 5
+1       2       0
+1       3       0
+2       0
+2       3       0
+-2      0
diff --git a/unit-tests/sat2.smt2 b/unit-tests/sat2.smt2
new file mode 100644
index 0000000..738caa1
--- /dev/null
+++ b/unit-tests/sat2.smt2
@@ -0,0 +1,7 @@
+(set-logic QF_UF)
+(declare-fun a () Bool)
+(declare-fun b () Bool)
+(declare-fun c () Bool)
+(assert (and (or (and a b) (and b c)) (not b)))
+(check-sat)
+(exit)
diff --git a/unit-tests/sat3.cnf b/unit-tests/sat3.cnf
new file mode 100644
index 0000000..2606f19
--- /dev/null
+++ b/unit-tests/sat3.cnf
@@ -0,0 +1,3 @@
+p cnf 1 2
+1       1       0
+-1      0
diff --git a/unit-tests/sat3.smt2 b/unit-tests/sat3.smt2
new file mode 100644
index 0000000..5af31f5
--- /dev/null
+++ b/unit-tests/sat3.smt2
@@ -0,0 +1,5 @@
+(set-logic QF_UF)
+(declare-fun a () Bool)
+(assert (and (or a a) (not a)))
+(check-sat)
+(exit)
diff --git a/unit-tests/sat4.smt2 b/unit-tests/sat4.smt2
new file mode 100644
index 0000000..e366eb3
--- /dev/null
+++ b/unit-tests/sat4.smt2
@@ -0,0 +1,5 @@
+(set-logic QF_UF)
+(declare-fun a () Bool)
+(assert (not (or a (not a))))
+(check-sat)
+(exit)
diff --git a/unit-tests/sat5.cnf b/unit-tests/sat5.cnf
new file mode 100644
index 0000000..508791a
--- /dev/null
+++ b/unit-tests/sat5.cnf
@@ -0,0 +1,6 @@
+p cnf 3 5
+1       2       3       0
+-1      -2      -3      0
+-1      2       0
+-2      3       0
+-3      1       0
diff --git a/unit-tests/sat5.smt2 b/unit-tests/sat5.smt2
new file mode 100644
index 0000000..d46092c
--- /dev/null
+++ b/unit-tests/sat5.smt2
@@ -0,0 +1,7 @@
+(set-logic QF_UF)
+(declare-fun a () Bool)
+(declare-fun b () Bool)
+(declare-fun c () Bool)
+(assert (and (or a b c) (or (not a) (not b) (not c)) (or (not a) b) (or (not b) c) (or (not c) a)))
+(check-sat)
+(exit)
diff --git a/unit-tests/sat6.cnf b/unit-tests/sat6.cnf
new file mode 100644
index 0000000..0c89619
--- /dev/null
+++ b/unit-tests/sat6.cnf
@@ -0,0 +1,6 @@
+p cnf 4 5
+1       0
+2       0
+3       4       0
+-3      0
+-1      -2      -4      0
diff --git a/unit-tests/sat6.smt2 b/unit-tests/sat6.smt2
new file mode 100644
index 0000000..acef584
--- /dev/null
+++ b/unit-tests/sat6.smt2
@@ -0,0 +1,10 @@
+(set-logic QF_UF)
+(declare-fun a () Bool)
+(declare-fun b () Bool)
+(declare-fun c () Bool)
+(declare-fun d () Bool)
+(assert (and a b))
+(assert (or c d))
+(assert (not (or c (and a b d))))
+(check-sat)
+(exit)
diff --git a/unit-tests/sat7.cnf b/unit-tests/sat7.cnf
new file mode 100644
index 0000000..da8ffa2
--- /dev/null
+++ b/unit-tests/sat7.cnf
@@ -0,0 +1,6 @@
+p cnf 4 5
+1       0
+2       0
+3       0
+-1      -2      4       0
+-4      -3      0
diff --git a/unit-tests/sat7.smt2 b/unit-tests/sat7.smt2
new file mode 100644
index 0000000..952c85e
--- /dev/null
+++ b/unit-tests/sat7.smt2
@@ -0,0 +1,8 @@
+(set-logic QF_UF)
+(declare-fun a () Bool)
+(declare-fun b () Bool)
+(declare-fun c () Bool)
+(declare-fun d () Bool)
+(assert (and a b c (or (not a) (not b) d) (or (not d) (not c))))
+(check-sat)
+(exit)
diff --git a/unit-tests/sat8.smt2 b/unit-tests/sat8.smt2
new file mode 100644
index 0000000..03c73cc
--- /dev/null
+++ b/unit-tests/sat8.smt2
@@ -0,0 +1,5 @@
+(set-logic QF_UF)
+(declare-fun a () Bool)
+(assert (and (not (not a)) (not a)))
+(check-sat)
+(exit)
diff --git a/unit-tests/sat9.smt2 b/unit-tests/sat9.smt2
new file mode 100644
index 0000000..f44982e
--- /dev/null
+++ b/unit-tests/sat9.smt2
@@ -0,0 +1,8 @@
+(set-logic QF_UF)
+(declare-sort U 0)
+(declare-fun a () U)
+(declare-fun b () U)
+(declare-fun c () U)
+(assert (and (distinct a b c) (= a b)))
+(check-sat)
+(exit)
diff --git a/unit-tests/uf1.smt2 b/unit-tests/uf1.smt2
new file mode 100644
index 0000000..7aaea55
--- /dev/null
+++ b/unit-tests/uf1.smt2
@@ -0,0 +1,10 @@
+(set-logic QF_UF)
+(declare-sort U 0)
+(declare-fun a () U)
+(declare-fun b () U)
+(declare-fun c () U)
+(declare-fun f (U) U)
+(declare-fun p (U) Bool)
+(assert (and (= a c) (= b c) (or (not (= (f a) (f b))) (and (p a) (not (p b))))))
+(check-sat)
+(exit)
diff --git a/unit-tests/uf2.smt2 b/unit-tests/uf2.smt2
new file mode 100644
index 0000000..9b2e47b
--- /dev/null
+++ b/unit-tests/uf2.smt2
@@ -0,0 +1,9 @@
+(set-logic QF_UF)
+(declare-sort U 0)
+(declare-fun a () U)
+(declare-fun b () U)
+(declare-fun c () U)
+(declare-fun p (U) Bool)
+(assert (and (or (and (p a) (p b)) (and (p b) (p c))) (not (p b))))
+(check-sat)
+(exit)
diff --git a/unit-tests/uf3.smt2 b/unit-tests/uf3.smt2
new file mode 100644
index 0000000..3d514cd
--- /dev/null
+++ b/unit-tests/uf3.smt2
@@ -0,0 +1,9 @@
+(set-logic QF_UF)
+(declare-sort U 0)
+(declare-fun x () U)
+(declare-fun y () U)
+(declare-fun z () U)
+(declare-fun f (U) U)
+(assert (and (= x y) (= y z) (not (= (f x) (f z)))))
+(check-sat)
+(exit)
diff --git a/unit-tests/uf4.smt2 b/unit-tests/uf4.smt2
new file mode 100644
index 0000000..ec27526
--- /dev/null
+++ b/unit-tests/uf4.smt2
@@ -0,0 +1,9 @@
+(set-logic QF_UF)
+(declare-sort U 0)
+(declare-fun x () U)
+(declare-fun y () U)
+(declare-fun z () U)
+(declare-fun f (U) U)
+(assert (and (not (= (f x) (f y))) (= y z) (= (f x) (f (f z))) (= x y)))
+(check-sat)
+(exit)
diff --git a/unit-tests/uf5.smt2 b/unit-tests/uf5.smt2
new file mode 100644
index 0000000..c151654
--- /dev/null
+++ b/unit-tests/uf5.smt2
@@ -0,0 +1,11 @@
+(set-logic QF_UF)
+(declare-sort U 0)
+(declare-fun a () U)
+(declare-fun b () U)
+(declare-fun c () U)
+(declare-fun d () U)
+(declare-fun e () U)
+(declare-fun f () U)
+(assert (and (= a b) (= b c) (= c d) (= c e) (= e f) (not (= a f))))
+(check-sat)
+(exit)
diff --git a/unit-tests/uf6.smt2 b/unit-tests/uf6.smt2
new file mode 100644
index 0000000..8921422
--- /dev/null
+++ b/unit-tests/uf6.smt2
@@ -0,0 +1,10 @@
+(set-logic QF_UF)
+(declare-sort U 0)
+(declare-fun x () U)
+(declare-fun y () U)
+(declare-fun z () U)
+(declare-fun f (U U) U)
+(assert (= x y))
+(assert (not (= (f z x) (f z y))))
+(check-sat)
+(exit)
diff --git a/unit-tests/uf7.smt2 b/unit-tests/uf7.smt2
new file mode 100644
index 0000000..30efa7c
--- /dev/null
+++ b/unit-tests/uf7.smt2
@@ -0,0 +1,11 @@
+(set-logic QF_UF)
+(declare-sort U 0)
+(declare-fun x () U)
+(declare-fun y () U)
+(declare-fun z () U)
+(declare-fun P (U U) Bool)
+(assert (= x y))
+(assert (P z x))
+(assert (not (P z y)))
+(check-sat)
+(exit)
diff --git a/unit-tests/velev-sss-1.0-05.cnf b/unit-tests/velev-sss-1.0-05.cnf
new file mode 100644
index 0000000..cf8f4d1
--- /dev/null
+++ b/unit-tests/velev-sss-1.0-05.cnf
@@ -0,0 +1,12813 @@
+p cnf 1516 12812
+1516 0
+1 1516 0
+-1 -1516 0
+-1 2 1004 1223 0
+1 -1223 0
+1223 -1224 -1429 -1503 0
+-1223 1503 0
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+1503 -1513 0
+13 101 -526 512 809 -913 714 -1514 1513 0
+-1513 1514 0
+-1505 1514 -1515 0
+-1505 -1514 1515 0
+-1220 1505 1514 0
+1220 1505 -1514 0
+30 31 -1338 -1249 1007 665 615 -1493 57 -1467 1515 0
+1493 -1515 0
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+-1007 -1515 0
+-665 -1515 0
+-615 -1515 0
+-30 -1515 0
+-57 -1515 0
+-31 -1515 0
+-809 -1513 0
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+-512 -1513 0
+-101 -1513 0
+913 -1513 0
+-714 -1513 0
+-13 -1513 0
+1503 -1512 0
+-925 -1218 1505 1512 0
+-1505 -1512 0
+1218 -1512 0
+925 -1512 0
+1503 -1511 0
+-5 7 -653 -641 -825 529 741 -923 13 -837 1505 -65 1511 0
+-1505 -1511 0
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author	Chantal Keller <Chantal.Keller@inria.fr>	2015-01-12 16:28:10 +0100
committer	Chantal Keller <Chantal.Keller@inria.fr>	2015-01-12 16:28:10 +0100
commit	cfb4587e26623318f432c7e3e21711afc2b966e7 (patch)
tree	a90c6f372633458aa0766510bcfdc4682eaa8f6a /unit-tests
parent	1e10dcc783b82269cc3fe3bb7419b9c1cc9e0fa7 (diff)
download	smtcoq-cfb4587e26623318f432c7e3e21711afc2b966e7.tar.gz smtcoq-cfb4587e26623318f432c7e3e21711afc2b966e7.zip