Goal:
    __p2 : Prop  __p1 : Prop  __x2 : Z  __x1 : Z
  ============================
   (let __wit :=
      [ZMicromega.RatProof
         (RingMicromega.PsatzAdd
            (RingMicromega.PsatzMulC (EnvRing.Pc (-1))
               (RingMicromega.PsatzIn Z 2)) (RingMicromega.PsatzIn Z 0))
         ZMicromega.DoneProof] in
    let __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 VarMap.Empty in
    let __ff :=
      Tauto.IMPL
        (Tauto.OR
           (Tauto.AND
              (Tauto.A Tauto.isProp
                 {|
                   RingMicromega.Flhs := EnvRing.PEX 1;
                   RingMicromega.Fop := RingMicromega.OpLt;
                   RingMicromega.Frhs := EnvRing.PEc 0
                 |} tt) (Tauto.X Tauto.isProp __p1))
           (Tauto.AND (Tauto.X Tauto.isProp __p2)
              (Tauto.A Tauto.isProp
                 {|
                   RingMicromega.Flhs := EnvRing.PEX 2;
                   RingMicromega.Fop := RingMicromega.OpEq;
                   RingMicromega.Frhs := EnvRing.PEX 1
                 |} tt))) None
        (Tauto.IMPL
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEc 0;
                RingMicromega.Fop := RingMicromega.OpLe;
                RingMicromega.Frhs := EnvRing.PEX 1
              |} tt) None
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEX 1;
                RingMicromega.Fop := RingMicromega.OpEq;
                RingMicromega.Frhs := EnvRing.PEX 2
              |} tt)) in
    __x1 < 0 /\ __p1 \/ __p2 /\ __x2 = __x1 -> 0 <= __x1 -> __x1 = __x2)


DEBUG:Going to execute:
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))