Goal:
    __x5 : Z  __x4 : Z  __x3 : Z  __x2 : Z  __x1 : Z
  ============================
   (let __wit :=
      [ZMicromega.RatProof
         (RingMicromega.PsatzAdd
            (RingMicromega.PsatzMulC (EnvRing.Pc (-1))
               (RingMicromega.PsatzIn Z 1)) (RingMicromega.PsatzIn Z 0))
         ZMicromega.DoneProof] in
    let __varmap :=
      VarMap.Branch (VarMap.Branch (VarMap.Elt __x4) __x2 VarMap.Empty) __x1
        (VarMap.Branch (VarMap.Elt __x5) __x3 VarMap.Empty) in
    let __ff :=
      Tauto.IMPL
        (Tauto.A Tauto.isProp
           {|
             RingMicromega.Flhs := EnvRing.PEX 2;
             RingMicromega.Fop := RingMicromega.OpEq;
             RingMicromega.Frhs :=
               EnvRing.PEadd (EnvRing.PEadd (EnvRing.PEX 3) (EnvRing.PEX 4))
                 (EnvRing.PEX 5)
           |} tt) None
        (Tauto.A Tauto.isProp
           {|
             RingMicromega.Flhs :=
               EnvRing.PEadd (EnvRing.PEX 1) (EnvRing.PEX 2);
             RingMicromega.Fop := RingMicromega.OpEq;
             RingMicromega.Frhs :=
               EnvRing.PEadd
                 (EnvRing.PEadd
                    (EnvRing.PEadd (EnvRing.PEX 1) (EnvRing.PEX 3))
                    (EnvRing.PEX 4)) (EnvRing.PEX 5)
           |} tt) in
    __x2 = __x3 + __x4 + __x5 -> __x1 + __x2 = __x1 + __x3 + __x4 + __x5)


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))