Goal:
  
  __p1 : Prop
  __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.PEsub (EnvRing.PEX 3) (EnvRing.PEX 1);
                 RingMicromega.Fop := RingMicromega.OpLe;
                 RingMicromega.Frhs :=
                   EnvRing.PEsub (EnvRing.PEX 2) (EnvRing.PEc 1)
               |} tt) None
            (Tauto.IMPL
               (Tauto.A Tauto.isProp
                  {|
                    RingMicromega.Flhs :=
                      EnvRing.PEadd (EnvRing.PEX 1) (EnvRing.PEX 2);
                    RingMicromega.Fop := RingMicromega.OpLe;
                    RingMicromega.Frhs := EnvRing.PEX 3
                  |} tt) None (Tauto.X Tauto.isProp __p1))
       : Tauto.BFormula (RingMicromega.Formula Z) Tauto.isProp
  ============================
   (__x3 - __x1 <= __x2 - 1 -> __x1 + __x2 <= __x3 -> __p1)


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