Goal:
    __p2 : Prop  __p1 : Prop  __x2 : BinNums.Z  __x1 : BinNums.Z
  ============================
   (let __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] in
    let __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 VarMap.Empty in
    let __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)) in
    __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:
let __ff := fresh "__ff" in
           intros __wit __varmap __ff; exact
            (ZMicromega.ZTautoChecker_sound __ff __wit
               (eq_refl <: ZMicromega.ZTautoChecker __ff __wit = true)
               (VarMap.find BinNums.Z0 __varmap))