Goal:
    __p2 : Prop  __p1 : Prop  __x3 : Z  __x2 : Z  __x1 : Z
  ============================
   (let __wit :=
      (ZMicromega.RatProof
         (RingMicromega.PsatzAdd
            (RingMicromega.PsatzMulC (EnvRing.Pc (-1)%Z)
               (RingMicromega.PsatzIn Z 2)) (RingMicromega.PsatzIn Z 0))
         ZMicromega.DoneProof :: nil)%list in
    let __varmap := VarMap.Branch (VarMap.Elt __x2) __x1 (VarMap.Elt __x3) in
    let __ff :=
      Tauto.IMPL
        (Tauto.OR
           (Tauto.AND
              (Tauto.A Tauto.isProp
                 {|
                   RingMicromega.Flhs := EnvRing.PEc 0%Z;
                   RingMicromega.Fop := RingMicromega.OpLt;
                   RingMicromega.Frhs :=
                     EnvRing.PEsub (EnvRing.PEX 2)
                       (EnvRing.PEadd (EnvRing.PEX 3) (EnvRing.PEc 1%Z))
                 |} tt) (Tauto.X Tauto.isProp __p1))
           (Tauto.AND (Tauto.X Tauto.isProp __p2)
              (Tauto.A Tauto.isProp
                 {|
                   RingMicromega.Flhs := EnvRing.PEX 1;
                   RingMicromega.Fop := RingMicromega.OpEq;
                   RingMicromega.Frhs := EnvRing.PEc 0%Z
                 |} tt))) None
        (Tauto.IMPL
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEX 2;
                RingMicromega.Fop := RingMicromega.OpLe;
                RingMicromega.Frhs := EnvRing.PEX 3
              |} tt) None
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEc 0%Z;
                RingMicromega.Fop := RingMicromega.OpEq;
                RingMicromega.Frhs := EnvRing.PEX 1
              |} tt)) in
    (0 < __x2 - (__x3 + 1))%Z /\ __p1 \/ __p2 /\ __x1 = 0%Z ->
    (__x2 <= __x3)%Z -> 0%Z = __x1)


DEBUG:Going to execute:
zchecker