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


DEBUG:Going to execute:
zchecker