Goal:
  
  __p2 : Prop
  __p1 : Prop
  __x2 : BinNums.Z
  __x1 : BinNums.Z
  __wit := [ZMicromega.RatProof
              (RingMicromega.PsatzAdd
                 (RingMicromega.PsatzMulC
                    (EnvRing.Pc (BinNums.Zneg BinNums.xH))
                    (RingMicromega.PsatzIn BinNums.Z 2))
                 (RingMicromega.PsatzIn BinNums.Z 0)) ZMicromega.DoneProof]
        : list ZMicromega.ZArithProof
  __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 VarMap.Empty
           : VarMap.t BinNums.Z
  __ff := Tauto.IMPL
            (Tauto.OR
               (Tauto.AND (Tauto.X Tauto.isProp __p1)
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs :=
                         EnvRing.PEX (BinNums.xO BinNums.xH);
                       RingMicromega.Fop := RingMicromega.OpEq;
                       RingMicromega.Frhs :=
                         EnvRing.PEsub
                           (EnvRing.PEadd (EnvRing.PEX BinNums.xH)
                              (EnvRing.PEc (BinNums.Zpos BinNums.xH)))
                           (EnvRing.PEc BinNums.Z0)
                     |} tt))
               (Tauto.AND
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs :=
                         EnvRing.PEsub
                           (EnvRing.PEadd (EnvRing.PEX BinNums.xH)
                              (EnvRing.PEc (BinNums.Zpos BinNums.xH)))
                           (EnvRing.PEc BinNums.Z0);
                       RingMicromega.Fop := RingMicromega.OpLe;
                       RingMicromega.Frhs := EnvRing.PEc BinNums.Z0
                     |} tt) (Tauto.X Tauto.isProp __p2))) None
            (Tauto.IMPL
               (Tauto.A Tauto.isProp
                  {|
                    RingMicromega.Flhs := EnvRing.PEc BinNums.Z0;
                    RingMicromega.Fop := RingMicromega.OpLe;
                    RingMicromega.Frhs := EnvRing.PEX BinNums.xH
                  |} tt) None
               (Tauto.A Tauto.isProp
                  {|
                    RingMicromega.Flhs :=
                      EnvRing.PEadd (EnvRing.PEX BinNums.xH)
                        (EnvRing.PEc (BinNums.Zpos BinNums.xH));
                    RingMicromega.Fop := RingMicromega.OpEq;
                    RingMicromega.Frhs := EnvRing.PEX (BinNums.xO BinNums.xH)
                  |} tt))
       : Tauto.BFormula (RingMicromega.Formula BinNums.Z) Tauto.isProp
  ============================
   (__p1
    ∧ __x2 =
      BinInt.Z.sub (BinInt.Z.add __x1 (BinNums.Zpos BinNums.xH)) BinNums.Z0
    ∨ BinInt.Z.le
        (BinInt.Z.sub (BinInt.Z.add __x1 (BinNums.Zpos BinNums.xH))
           BinNums.Z0) BinNums.Z0 ∧ __p2
    → BinInt.Z.le BinNums.Z0 __x1
      → BinInt.Z.add __x1 (BinNums.Zpos BinNums.xH) = __x2)


DEBUG:Going to execute:
exact
(ZMicromega.ZTautoChecker_sound __ff __wit
   (eq_refl <: ZMicromega.ZTautoChecker __ff __wit = true)
   (VarMap.find BinNums.Z0 __varmap))