Goal:
    __x3 : Z  __x2 : Z  __x1 : Z
  ============================
   (let __wit :=
      (ZMicromega.RatProof
         (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 2)
            (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 1)
               (RingMicromega.PsatzIn Z 0))) ZMicromega.DoneProof :: nil)%list
      in
    let __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 (VarMap.Elt __x3) in
    let __ff :=
      Tauto.IMPL
        (Tauto.A Tauto.isProp
           {|
             RingMicromega.Flhs := EnvRing.PEX 1;
             RingMicromega.Fop := RingMicromega.OpLt;
             RingMicromega.Frhs := EnvRing.PEX 3
           |} tt) None
        (Tauto.IMPL
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEX 3;
                RingMicromega.Fop := RingMicromega.OpLt;
                RingMicromega.Frhs := EnvRing.PEX 2
              |} tt) None
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEX 1;
                RingMicromega.Fop := RingMicromega.OpLt;
                RingMicromega.Frhs := EnvRing.PEX 2
              |} tt)) in
    BinInt.Z.lt __x1 __x3 -> BinInt.Z.lt __x3 __x2 -> BinInt.Z.lt __x1 __x2)


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