Goal:
  
  __p2 : Prop
  __p1 : Prop
  __x3 : Z
  __x2 : Z
  __x1 : Z
  __wit := (ZMicromega.RatProof
              (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 3)
                 (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 2)
                    (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 1)
                       (RingMicromega.PsatzIn Z 0)))) ZMicromega.DoneProof
            :: ZMicromega.RatProof
                 (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 3)
                    (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 2)
                       (RingMicromega.PsatzIn Z 0))) ZMicromega.DoneProof
               :: nil)%list : list ZMicromega.ZArithProof
  __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 (VarMap.Elt __x3)
           : VarMap.t Z
  __ff := Tauto.IMPL
            (Tauto.OR
               (Tauto.AND (Tauto.X Tauto.isProp __p1)
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs := EnvRing.PEX 1;
                       RingMicromega.Fop := RingMicromega.OpEq;
                       RingMicromega.Frhs :=
                         EnvRing.PEsub (EnvRing.PEX 2)
                           (EnvRing.PEadd (EnvRing.PEX 3) (EnvRing.PEc 1%Z))
                     |} tt))
               (Tauto.AND (Tauto.X Tauto.isProp __p2)
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs := EnvRing.PEX 1;
                       RingMicromega.Fop := RingMicromega.OpEq;
                       RingMicromega.Frhs := EnvRing.PEc 0%Z
                     |} tt))) None
            (Tauto.IMPL
               (Tauto.A Tauto.isProp
                  {|
                    RingMicromega.Flhs := EnvRing.PEc 0%Z;
                    RingMicromega.Fop := RingMicromega.OpLe;
                    RingMicromega.Frhs := EnvRing.PEX 3
                  |} tt) None
               (Tauto.IMPL
                  (Tauto.NOT
                     (Tauto.A Tauto.isProp
                        {|
                          RingMicromega.Flhs := EnvRing.PEX 2;
                          RingMicromega.Fop := RingMicromega.OpLe;
                          RingMicromega.Frhs := EnvRing.PEX 3
                        |} tt)) None
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs := EnvRing.PEX 1;
                       RingMicromega.Fop := RingMicromega.OpLt;
                       RingMicromega.Frhs := EnvRing.PEX 2
                     |} tt)))
       : Tauto.BFormula (RingMicromega.Formula Z) Tauto.isProp
  ============================
   (__p1 /\ __x1 = (__x2 - (__x3 + 1))%Z \/ __p2 /\ __x1 = 0%Z ->
    (0 <= __x3)%Z -> ((__x2 <= __x3)%Z -> False) -> (__x1 < __x2)%Z)


DEBUG:Going to execute:
exact
(ZMicromega.ZTautoChecker_sound __ff __wit
   (eq_refl <: ZMicromega.ZTautoChecker __ff __wit = true)
   (VarMap.find 0%Z __varmap))