Goal:
    __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.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.NOT
              (Tauto.A Tauto.isProp
                 {|
                   RingMicromega.Flhs := EnvRing.PEX BinNums.xH;
                   RingMicromega.Fop := RingMicromega.OpEq;
                   RingMicromega.Frhs := EnvRing.PEX (BinNums.xO BinNums.xH)
                 |} tt)) None
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEX BinNums.xH;
                RingMicromega.Fop := RingMicromega.OpLt;
                RingMicromega.Frhs := EnvRing.PEX (BinNums.xO BinNums.xH)
              |} tt)) in
    BinInt.Z.lt __x1 (BinInt.Z.add __x2 (BinNums.Zpos BinNums.xH))
    → (__x1 = __x2 → False) → BinInt.Z.lt __x1 __x2)


DEBUG:Going to execute:
zchecker