Goal:
  
  __p1 : Prop
  __x2 : Z
  __x1 : Z
  __wit := (ZMicromega.RatProof
              (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 2)
                 (RingMicromega.PsatzAdd
                    (RingMicromega.PsatzMulC (EnvRing.Pc (-1)%Z)
                       (RingMicromega.PsatzIn Z 1))
                    (RingMicromega.PsatzIn Z 0))) ZMicromega.DoneProof
            :: ZMicromega.RatProof
                 (RingMicromega.PsatzAdd
                    (RingMicromega.PsatzMulC (EnvRing.Pc (-1)%Z)
                       (RingMicromega.PsatzIn Z 1))
                    (RingMicromega.PsatzIn Z 0)) ZMicromega.DoneProof :: nil)%list
        : list ZMicromega.ZArithProof
  __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 VarMap.Empty : 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.PEc 0%Z)
                     |} tt))
               (Tauto.AND
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs :=
                         EnvRing.PEsub (EnvRing.PEX 2) (EnvRing.PEc 0%Z);
                       RingMicromega.Fop := RingMicromega.OpLe;
                       RingMicromega.Frhs := EnvRing.PEc 0%Z
                     |} tt)
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs := EnvRing.PEX 1;
                       RingMicromega.Fop := RingMicromega.OpEq;
                       RingMicromega.Frhs := EnvRing.PEc 0%Z
                     |} tt))) None
            (Tauto.A Tauto.isProp
               {|
                 RingMicromega.Flhs := EnvRing.PEX 1;
                 RingMicromega.Fop := RingMicromega.OpGe;
                 RingMicromega.Frhs := EnvRing.PEX 2
               |} tt) : Tauto.BFormula (RingMicromega.Formula Z) Tauto.isProp
  ============================
   (__p1 /\ __x1 = (__x2 - 0)%Z \/ (__x2 - 0 <= 0)%Z /\ __x1 = 0%Z ->
    (__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))