Goal:
  
  __x3 : Z
  __x2 : Z
  __x1 : Z
  __wit := [] : list ZMicromega.ZArithProof
  __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 (VarMap.Elt __x3)
           : VarMap.t Z
  __ff := Tauto.IMPL
            (Tauto.A Tauto.isProp
               {|
                 RingMicromega.Flhs := EnvRing.PEc 0;
                 RingMicromega.Fop := RingMicromega.OpLt;
                 RingMicromega.Frhs :=
                   EnvRing.PEadd
                     (EnvRing.PEadd (EnvRing.PEX 3) (EnvRing.PEX 1))
                     (EnvRing.PEX 2)
               |} tt) None
            (Tauto.A Tauto.isProp
               {|
                 RingMicromega.Flhs := EnvRing.PEc 0;
                 RingMicromega.Fop := RingMicromega.OpLt;
                 RingMicromega.Frhs :=
                   EnvRing.PEadd (EnvRing.PEX 1)
                     (EnvRing.PEadd (EnvRing.PEX 2) (EnvRing.PEX 3))
               |} tt) : Tauto.BFormula (RingMicromega.Formula Z) Tauto.isProp
  ============================
   (0 < __x3 + __x1 + __x2 -> 0 < __x1 + (__x2 + __x3))


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