Goal:
    __p1 : Prop  __x2 : Z  __x1 : Z
  ============================
   (let __wit :=
      (ZMicromega.RatProof
         (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 2)
            (RingMicromega.PsatzAdd
               (RingMicromega.PsatzMulC (EnvRing.Pc (-1)%Z)
                  (RingMicromega.PsatzIn Z 1)) (RingMicromega.PsatzIn Z 0)))
         ZMicromega.DoneProof
       :: ZMicromega.RatProof
            (RingMicromega.PsatzAdd
               (RingMicromega.PsatzMulC (EnvRing.Pc (-1)%Z)
                  (RingMicromega.PsatzIn Z 1)) (RingMicromega.PsatzIn Z 0))
            ZMicromega.DoneProof :: nil)%list in
    let __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 VarMap.Empty in
    let __ff :=
      Tauto.IMPL
        (Tauto.OR
           (Tauto.AND (Tauto.X Tauto.isProp __p1)
              (Tauto.A Tauto.isProp
                 {|
                   RingMicromega.Flhs := EnvRing.PEX 1;
                   RingMicromega.Fop := RingMicromega.OpEq;
                   RingMicromega.Frhs :=
                     EnvRing.PEsub (EnvRing.PEX 2) (EnvRing.PEc 0%Z)
                 |} tt))
           (Tauto.AND
              (Tauto.A Tauto.isProp
                 {|
                   RingMicromega.Flhs :=
                     EnvRing.PEsub (EnvRing.PEX 2) (EnvRing.PEc 0%Z);
                   RingMicromega.Fop := RingMicromega.OpLe;
                   RingMicromega.Frhs := EnvRing.PEc 0%Z
                 |} tt)
              (Tauto.A Tauto.isProp
                 {|
                   RingMicromega.Flhs := EnvRing.PEX 1;
                   RingMicromega.Fop := RingMicromega.OpEq;
                   RingMicromega.Frhs := EnvRing.PEc 0%Z
                 |} tt))) None
        (Tauto.A Tauto.isProp
           {|
             RingMicromega.Flhs := EnvRing.PEX 1;
             RingMicromega.Fop := RingMicromega.OpGe;
             RingMicromega.Frhs := EnvRing.PEX 2
           |} tt) in
    __p1 /\ __x1 = (__x2 - 0)%Z \/ (__x2 - 0 <= 0)%Z /\ __x1 = 0%Z ->
    (__x1 >= __x2)%Z)


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%Z __varmap))