Goal:
    __p1 : Prop  __x3 : BinNums.Z  __x2 : BinNums.Z  __x1 : BinNums.Z
  ============================
   (let __wit :=
      [ZMicromega.RatProof
         (RingMicromega.PsatzAdd (RingMicromega.PsatzIn BinNums.Z 2)
            (RingMicromega.PsatzAdd
               (RingMicromega.PsatzMulC
                  (EnvRing.Pc (BinNums.Zneg BinNums.xH))
                  (RingMicromega.PsatzIn BinNums.Z 1))
               (RingMicromega.PsatzIn BinNums.Z 0))) ZMicromega.DoneProof] in
    let __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 (VarMap.Elt __x3) in
    let __ff :=
      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.IMPL
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEX (BinNums.xO BinNums.xH);
                RingMicromega.Fop := RingMicromega.OpEq;
                RingMicromega.Frhs := EnvRing.PEX (BinNums.xI BinNums.xH)
              |} tt) None
           (Tauto.IMPL
              (Tauto.A Tauto.isProp
                 {|
                   RingMicromega.Flhs :=
                     EnvRing.PEadd
                       (EnvRing.PEadd (EnvRing.PEX BinNums.xH)
                          (EnvRing.PEX (BinNums.xO BinNums.xH)))
                       (EnvRing.PEc (BinNums.Zpos BinNums.xH));
                   RingMicromega.Fop := RingMicromega.OpEq;
                   RingMicromega.Frhs := EnvRing.PEX (BinNums.xI BinNums.xH)
                 |} tt) None (Tauto.X Tauto.isProp __p1))) in
    BinInt.Z.le BinNums.Z0 __x1
    → __x2 = __x3
      → BinInt.Z.add (BinInt.Z.add __x1 __x2) (BinNums.Zpos BinNums.xH) =
        __x3 → __p1)


DEBUG:Going to execute:
zchecker