Goal:
    __p1 : Prop  __x2 : BinNums.Z  __x1 : BinNums.Z
  ============================
   (let __wit := [] in
    let __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 VarMap.Empty in
    let __ff :=
      Tauto.IMPL
        (Tauto.NOT
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEX BinNums.xH;
                RingMicromega.Fop := RingMicromega.OpLt;
                RingMicromega.Frhs :=
                  EnvRing.PEadd (EnvRing.PEX (BinNums.xO BinNums.xH))
                    (EnvRing.PEc (BinNums.Zpos BinNums.xH))
              |} tt)) None
        (Tauto.IMPL
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEX BinNums.xH;
                RingMicromega.Fop := RingMicromega.OpLt;
                RingMicromega.Frhs := EnvRing.PEX (BinNums.xO BinNums.xH)
              |} tt) None (Tauto.X Tauto.isProp __p1)) in
    (BinInt.Z.lt __x1 (BinInt.Z.add __x2 (BinNums.Zpos BinNums.xH)) → False)
    → BinInt.Z.lt __x1 __x2 → __p1)


DEBUG:Going to execute:
let __wit := fresh "__wit" in
           let __varmap := fresh "__varmap" in
           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))