Goal:
    __x5 : Z  __x4 : Z  __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.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.PEadd (EnvRing.PEX 3) (EnvRing.PEX 4);
             RingMicromega.Fop := RingMicromega.OpEq;
             RingMicromega.Frhs := EnvRing.PEX 5
           |} tt) None
        (Tauto.IMPL
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEX 2;
                RingMicromega.Fop := RingMicromega.OpLe;
                RingMicromega.Frhs := EnvRing.PEX 5
              |} tt) None
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs :=
                  EnvRing.PEadd (EnvRing.PEX 1) (EnvRing.PEX 2);
                RingMicromega.Fop := RingMicromega.OpLe;
                RingMicromega.Frhs :=
                  EnvRing.PEadd (EnvRing.PEX 1)
                    (EnvRing.PEadd (EnvRing.PEX 3) (EnvRing.PEX 4))
              |} tt)) in
    __x3 + __x4 = __x5 -> __x2 <= __x5 -> __x1 + __x2 <= __x1 + (__x3 + __x4))


DEBUG:Going to execute:
zchecker