Goal:
    __x5 : Z  __x4 : Z  __x3 : Z  __x2 : Z  __x1 : Z
  ============================
   (let __wit :=
      [ZMicromega.RatProof
         (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 3)
            (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 2)
               (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 1)
                  (RingMicromega.PsatzIn Z 0)))) ZMicromega.DoneProof] in
    let __varmap :=
      VarMap.Branch (VarMap.Branch (VarMap.Elt __x4) __x2 VarMap.Empty) __x1
        (VarMap.Branch (VarMap.Elt __x5) __x3 VarMap.Empty) in
    let __ff :=
      Tauto.IMPL
        (Tauto.A Tauto.isProp
           {|
             RingMicromega.Flhs := EnvRing.PEX 4;
             RingMicromega.Fop := RingMicromega.OpLe;
             RingMicromega.Frhs := EnvRing.PEc 0
           |} tt) None
        (Tauto.IMPL
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEX 5;
                RingMicromega.Fop := RingMicromega.OpLe;
                RingMicromega.Frhs := EnvRing.PEX 3
              |} tt) None
           (Tauto.IMPL
              (Tauto.A Tauto.isProp
                 {|
                   RingMicromega.Flhs := EnvRing.PEX 1;
                   RingMicromega.Fop := RingMicromega.OpLe;
                   RingMicromega.Frhs :=
                     EnvRing.PEadd
                       (EnvRing.PEsub (EnvRing.PEX 4) (EnvRing.PEX 2))
                       (EnvRing.PEX 5)
                 |} tt) None
              (Tauto.A Tauto.isProp
                 {|
                   RingMicromega.Flhs := EnvRing.PEX 1;
                   RingMicromega.Fop := RingMicromega.OpLe;
                   RingMicromega.Frhs :=
                     EnvRing.PEadd (EnvRing.PEopp (EnvRing.PEX 2))
                       (EnvRing.PEX 3)
                 |} tt))) in
    __x4 <= 0 ->
    __x5 <= __x3 -> __x1 <= __x4 - __x2 + __x5 -> __x1 <= - __x2 + __x3)


DEBUG:Going to execute:
zchecker