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


DEBUG:Going to execute:
zchecker