Goal:
    __x4 : Z  __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] in
    let __varmap :=
      VarMap.Branch (VarMap.Branch VarMap.Empty __x2 (VarMap.Elt __x4)) __x1
        (VarMap.Elt __x3) in
    let __ff :=
      Tauto.IMPL
        (Tauto.A Tauto.isProp
           {|
             RingMicromega.Flhs := EnvRing.PEX 2;
             RingMicromega.Fop := RingMicromega.OpLe;
             RingMicromega.Frhs := EnvRing.PEX 6
           |} tt) None
        (Tauto.IMPL
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEX 6;
                RingMicromega.Fop := RingMicromega.OpLe;
                RingMicromega.Frhs := EnvRing.PEX 1
              |} tt) None
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs :=
                  EnvRing.PEadd
                    (EnvRing.PEsub
                       (EnvRing.PEadd (EnvRing.PEopp (EnvRing.PEX 1))
                          (EnvRing.PEX 2)) (EnvRing.PEX 1)) 
                    (EnvRing.PEX 3);
                RingMicromega.Fop := RingMicromega.OpLe;
                RingMicromega.Frhs :=
                  EnvRing.PEadd (EnvRing.PEopp (EnvRing.PEX 1))
                    (EnvRing.PEX 3)
              |} tt)) in
    __x2 <= __x4 ->
    __x4 <= __x1 -> - __x1 + __x2 - __x1 + __x3 <= - __x1 + __x3)


DEBUG:Going to execute:
intros __wit __varmap __ff; exact
            (ZMicromega.ZTautoChecker_sound __ff __wit
               (eq_refl <: ZMicromega.ZTautoChecker __ff __wit = true)
               (VarMap.find 0 __varmap))