Goal:
    __x6 : Z  __x5 : Z  __x4 : Z  __x3 : Z  __x2 : Z  __x1 : Z
  ============================
   (let __wit :=
      [ZMicromega.RatProof
         (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.Elt __x6))
        __x1 (VarMap.Branch (VarMap.Elt __x5) __x3 VarMap.Empty) in
    let __ff :=
      Tauto.IMPL
        (Tauto.A Tauto.isProp
           {|
             RingMicromega.Flhs :=
               EnvRing.PEadd (EnvRing.PEX 1) (EnvRing.PEX 5);
             RingMicromega.Fop := RingMicromega.OpLe;
             RingMicromega.Frhs :=
               EnvRing.PEsub (EnvRing.PEX 6) (EnvRing.PEX 4)
           |} tt) None
        (Tauto.IMPL
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs := EnvRing.PEX 2;
                RingMicromega.Fop := RingMicromega.OpLe;
                RingMicromega.Frhs :=
                  EnvRing.PEadd (EnvRing.PEX 5)
                    (EnvRing.PEsub (EnvRing.PEX 3) (EnvRing.PEX 6))
              |} tt) None
           (Tauto.A Tauto.isProp
              {|
                RingMicromega.Flhs :=
                  EnvRing.PEadd (EnvRing.PEX 1) (EnvRing.PEX 2);
                RingMicromega.Fop := RingMicromega.OpLe;
                RingMicromega.Frhs :=
                  EnvRing.PEsub (EnvRing.PEX 3) (EnvRing.PEX 4)
              |} tt)) in
    __x1 + __x5 <= __x6 - __x4 ->
    __x2 <= __x5 + (__x3 - __x6) -> __x1 + __x2 <= __x3 - __x4)


DEBUG:Going to execute:
let __wit := fresh "__wit" in
           let __varmap := fresh "__varmap" in
           let __ff := fresh "__ff" in
           intros __wit __varmap __ff; exact
            (ZMicromega.ZTautoChecker_sound __ff __wit
               (eq_refl <: ZMicromega.ZTautoChecker __ff __wit = true)
               (VarMap.find 0 __varmap))