Goal:
    __p1 : Prop  __x3 : Z  __x2 : Z  __x1 : Z
  ============================
   (let __wit := [] in
    let __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 (VarMap.Elt __x3) in
    let __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)) in
    __x3 - __x1 <= __x2 - 1 -> __x1 + __x2 <= __x3 -> __p1)


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