Goal:
  
  __p1 : Prop
  __x3 : Z
  __x2 : Z
  __x1 : Z
  __wit := [ZMicromega.RatProof
              (RingMicromega.PsatzAdd
                 (RingMicromega.PsatzMulC (EnvRing.Pc (-1))
                    (RingMicromega.PsatzIn Z 2))
                 (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 1)
                    (RingMicromega.PsatzIn Z 0))) ZMicromega.DoneProof]
        : list ZMicromega.ZArithProof
  __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 (VarMap.Elt __x3)
           : VarMap.t Z
  __ff := Tauto.IMPL
            (Tauto.A Tauto.isProp
               {|
                 RingMicromega.Flhs := EnvRing.PEX 2;
                 RingMicromega.Fop := RingMicromega.OpEq;
                 RingMicromega.Frhs :=
                   EnvRing.PEadd
                     (EnvRing.PEsub (EnvRing.PEopp (EnvRing.PEX 1))
                        (EnvRing.PEX 1)) (EnvRing.PEc 1)
               |} tt) None
            (Tauto.IMPL
               (Tauto.A Tauto.isProp
                  {|
                    RingMicromega.Flhs :=
                      EnvRing.PEadd (EnvRing.PEX 3) (EnvRing.PEX 1);
                    RingMicromega.Fop := RingMicromega.OpLe;
                    RingMicromega.Frhs := EnvRing.PEopp (EnvRing.PEX 1)
                  |} tt) None
               (Tauto.IMPL
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs :=
                         EnvRing.PEadd (EnvRing.PEX 2) (EnvRing.PEc 0);
                       RingMicromega.Fop := RingMicromega.OpLe;
                       RingMicromega.Frhs := EnvRing.PEX 3
                     |} tt) None (Tauto.X Tauto.isProp __p1)))
       : Tauto.BFormula (RingMicromega.Formula Z) Tauto.isProp
  ============================
   (__x2 = - __x1 - __x1 + 1 ->
    __x3 + __x1 <= - __x1 -> __x2 + 0 <= __x3 -> __p1)


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