]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/gTopLevel/fourierR.ml
added ocaml-http 0.0.1
[helm.git] / helm / gTopLevel / fourierR.ml
index 566003e8992452771e80daeff7e46e413768170c..a4630ab7aca1e47db84676838ceaead5d6ffb742 100644 (file)
@@ -31,7 +31,9 @@ let rewrite_tac ~term:equality ~status:(proof,goal) =
  let module U = UriManager in
   let curi,metasenv,pbo,pty = proof in
   let metano,context,gty = List.find (function (m,_,_) -> m=goal) metasenv in
-   let eq_ind_r,ty,t1,t2 = 
+
+  prerr_endline("rewrite chiamata con "^CicPp.ppterm gty^"\n");
+  let eq_ind_r,ty,t1,t2 = 
     match CicTypeChecker.type_of_aux' metasenv context equality with
        C.Appl [C.MutInd (uri,_,0) ; ty ; t1 ; t2]
         when U.eq uri (U.uri_of_string "cic:/Coq/Init/Logic/Equality/eq.ind") ->
@@ -79,6 +81,37 @@ prerr_endline ("#### Sintetizzato: " ^ CicPp.ppterm pred);
       (proof',[fresh_meta])
 ;;
 
+(* ti ho beccato !!!!!!!!!! qui' salta fuori un or. perche'?*)
+
+
+
+let simpl_tac ~status:(proof,goal) =
+ let curi,metasenv,pbo,pty = proof in
+ let metano,context,ty = List.find (function (m,_,_) -> m=goal) metasenv in
+
+prerr_endline("simpl_tac su "^CicPp.ppterm ty);
+ let new_ty = ProofEngineReduction.simpl context ty in
+
+prerr_endline("ritorna "^CicPp.ppterm new_ty);
+
+ let new_metasenv = 
+   List.map
+   (function
+     (n,_,_) when n = metano -> (metano,context,new_ty)
+     | _ as t -> t
+   ) metasenv
+ in
+ (curi,new_metasenv,pbo,pty), [metano]
+
+;;
+
+let rewrite_simpl_tac ~term ~status =
+
+ Tacticals.then_ ~start:(rewrite_tac ~term) ~continuation:simpl_tac ~status
+
+;;
+
 (******************** THE FOURIER TACTIC ***********************)
 
 (* La tactique Fourier ne fonctionne de manière sûre que si les coefficients 
@@ -91,9 +124,10 @@ open Fourier
 let debug x = print_string ("____ "^x) ; flush stdout;;
 
 let debug_pcontext x = 
-       let str = ref "" in
-       List.iter (fun y -> match y with Some(Cic.Name(a),_) -> str := !str ^ a ^ " " | _ ->()) x ;
-       debug ("contesto : "^ (!str) ^ "\n")
+ let str = ref "" in
+ List.iter (fun y -> match y with Some(Cic.Name(a),_) -> str := !str ^ 
+  a ^ " " | _ ->()) x ;
+ debug ("contesto : "^ (!str) ^ "\n")
 ;;
 
 (******************************************************************************
@@ -297,7 +331,7 @@ let rec flin_of_term t =
                                _ -> (flin_add (flin_zero()) arg2 a)
                        end
                with 
-                       _-> (flin_add (flin_zero()) arg1 (rational_of_term arg2 ))
+                       _-> (flin_add(flin_zero()) arg1 (rational_of_term arg2))
                end
            |"cic:/Coq/Reals/Rdefinitions/Rinv.con"->
               let a=(rational_of_term (List.hd next)) in
@@ -361,6 +395,7 @@ type hineq={hname:Cic.term; (* le nom de l'hypoth
 *)
 
 let ineq1_of_term (h,t) =
+       debug("Trasformo in ineq "^CicPp.ppterm t^"\n");
     match t with (* match t *)
        Cic.Appl (t1::next) ->
          let arg1= List.hd next in
@@ -377,7 +412,7 @@ let ineq1_of_term (h,t) =
                                              (flin_of_term arg2);
                           hstrict=true}]
                |"cic:/Coq/Reals/Rdefinitions/Rgt.con" ->
- [{hname=h;
                         [{hname=h;
                            htype="Rgt";
                           hleft=arg2;
                           hright=arg1;
@@ -385,7 +420,7 @@ let ineq1_of_term (h,t) =
                                              (flin_of_term arg1);
                           hstrict=true}]
                |"cic:/Coq/Reals/Rdefinitions/Rle.con" ->
- [{hname=h;
                          [{hname=h;
                            htype="Rle";
                           hleft=arg1;
                           hright=arg2;
@@ -393,7 +428,7 @@ let ineq1_of_term (h,t) =
                                              (flin_of_term arg2);
                           hstrict=false}]
                |"cic:/Coq/Reals/Rdefinitions/Rge.con" ->
- [{hname=h;
                          [{hname=h;
                            htype="Rge";
                           hleft=arg2;
                           hright=arg1;
@@ -403,14 +438,16 @@ let ineq1_of_term (h,t) =
                 |_->assert false)(* match u *)
           | Cic.MutInd (u,i,o) ->
               (match UriManager.string_of_uri u with 
-                "cic:/Coq/Init/Logic_Type/eqT.con" ->  
-                          let t0= arg1 in
+                "cic:/Coq/Init/Logic_Type/eqT.ind" ->  
+                          debug("Ho trovato una ==\n");
+                          let t0= arg1 in
                            let arg1= arg2 in
                            let arg2= List.hd(List.tl (List.tl next)) in
                    (match t0 with
                          Cic.Const (u,boh) ->
                           (match UriManager.string_of_uri u with
                              "cic:/Coq/Reals/Rdefinitions/R.con"->
+                             
                          [{hname=h;
                            htype="eqTLR";
                           hleft=arg1;
@@ -425,11 +462,11 @@ let ineq1_of_term (h,t) =
                           hflin= flin_minus (flin_of_term arg2)
                                              (flin_of_term arg1);
                           hstrict=false}]
-                           |_-> assert false)
-                         |_-> assert false)
-                   |_-> assert false)
-          |_-> assert false)(* match t1 *)
-        |_-> assert false (* match t *)
+                           |_-> debug("eqT deve essere applicato a const R\n");assert false)
+                         |_-> debug("eqT deve essere appl a const\n");assert false)
+                   |_-> debug("Il trmine e' un appl mutind ma non eqT\n");assert false)
+          |_-> debug("Il termine non e' una app di const o app di mutind\n");assert false)(* match t1 *)
+        |_-> debug("Il termine non e' una applicazione\n");assert false (* match t *)
 ;;
 (* coq wrapper 
 let ineq1_of_constr = ineq1_of_term;;
@@ -474,59 +511,103 @@ let fourier_lineq lineq1 =
                   h.hflin.fhom;
                ((Array.to_list v)@[rop h.hflin.fcste],h.hstrict))
              lineq1 in
-   debug ("chiamo unsolvable sul sistema di "^ string_of_int (List.length sys) ^"\n");
+   debug ("chiamo unsolvable sul sistema di "^ 
+    string_of_int (List.length sys) ^"\n");
    print_sys sys;
    unsolvable sys
 ;;
 
-(******************************************************************************
+(*****************************************************************************
 Construction de la preuve en cas de succès de la méthode de Fourier,
 i.e. on obtient une contradiction.
 *)
 
 
-let _eqT = Cic.MutInd(UriManager.uri_of_string "cic:/Coq/Init/Logic_Type/eqT.ind") 0 0 ;;
-let _False = Cic.MutInd (UriManager.uri_of_string "cic:/Coq/Init/Logic/False.ind") 0 0 ;;
-let _not = Cic.Const (UriManager.uri_of_string "cic:/Coq/Init/Logic/not.con") 0;;
-let _R0 = Cic.Const (UriManager.uri_of_string "cic:/Coq/Reals/Rdefinitions/R0.con") 0 ;;
-let _R1 = Cic.Const (UriManager.uri_of_string "cic:/Coq/Reals/Rdefinitions/R1.con") 0 ;;
-let _R = Cic.Const (UriManager.uri_of_string "cic:/Coq/Reals/Rdefinitions/R.con") 0 ;;
-let _Rfourier_eqLR_to_le=Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_eqLR_to_le.con") 0 ;;
-let _Rfourier_eqRL_to_le=Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_eqRL_to_le.con") 0 ;;
-let _Rfourier_ge_to_le  =Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_ge_to_le.con") 0 ;;
-let _Rfourier_gt_to_lt         =Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_gt_to_lt.con") 0 ;;
-let _Rfourier_le=Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_le.con") 0 ;;
-let _Rfourier_le_le =Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_le_le.con") 0 ;;
-let _Rfourier_le_lt =Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_le_lt.con") 0 ;;
-let _Rfourier_lt=Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_lt.con") 0 ;;
-let _Rfourier_lt_le =Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_lt_le.con") 0 ;;
-let _Rfourier_lt_lt =Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_lt_lt.con") 0 ;;
-let _Rfourier_not_ge_lt = Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_not_ge_lt.con") 0 ;;
-let _Rfourier_not_gt_le = Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_not_gt_le.con") 0 ;;
-let _Rfourier_not_le_gt = Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_not_le_gt.con") 0 ;;
-let _Rfourier_not_lt_ge = Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rfourier_not_lt_ge.con") 0 ;;
-let _Rinv  = Cic.Const (UriManager.uri_of_string "cic:/Coq/Reals/Rdefinitions/Rinv.con") 0 ;;
-let _Rinv_R1 = Cic.Const(UriManager.uri_of_string "cic:/Coq/Reals/Rbase/Rinv_R1.con" ) 0;;
-let _Rle = Cic.Const (UriManager.uri_of_string "cic:/Coq/Reals/Rdefinitions/Rle.con") 0 ;;
-let _Rle_mult_inv_pos =  Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rle_mult_inv_pos.con") 0 ;;
-let _Rle_not_lt = Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rle_not_lt.con") 0 ;;
-let _Rle_zero_1 = Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rle_zero_1.con") 0 ;;
-let _Rle_zero_pos_plus1 =  Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rle_zero_pos_plus1.con") 0 ;;
-let _Rle_zero_zero = Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rle_zero_zero.con") 0 ;;
-let _Rlt = Cic.Const (UriManager.uri_of_string "cic:/Coq/Reals/Rdefinitions/Rlt.con") 0 ;;
-let _Rlt_mult_inv_pos = Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rlt_mult_inv_pos.con") 0 ;;
-let _Rlt_not_le =  Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rlt_not_le.con") 0 ;;
-let _Rlt_zero_1 = Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rlt_zero_1.con") 0 ;;
-let _Rlt_zero_pos_plus1 = Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rlt_zero_pos_plus1.con") 0 ;;
-let _Rminus = Cic.Const (UriManager.uri_of_string "cic:/Coq/Reals/Rdefinitions/Rminus.con") 0 ;;
-let _Rmult = Cic.Const (UriManager.uri_of_string "cic:/Coq/Reals/Rdefinitions/Rmult.con") 0 ;;
-let _Rnot_le_le =Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rnot_le_le.con") 0 ;;
-let _Rnot_lt0 = Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rnot_lt0.con") 0 ;;
-let _Rnot_lt_lt =Cic.Const (UriManager.uri_of_string "cic:/Coq/fourier/Fourier_util/Rnot_lt_lt.con") 0 ;;
-let _Ropp = Cic.Const (UriManager.uri_of_string "cic:/Coq/Reals/Rdefinitions/Ropp.con") 0 ;;
-let _Rplus = Cic.Const (UriManager.uri_of_string "cic:/Coq/Reals/Rdefinitions/Rplus.con") 0 ;;
-let _sym_eqT = Cic.Const(UriManager.uri_of_string "cic:/Coq/Init/Logic_Type/Equality_is_a_congruence/sym_eqT.con") 0 ;;
-(*****************************************************************************************************)
+let _eqT = Cic.MutInd(UriManager.uri_of_string 
+ "cic:/Coq/Init/Logic_Type/eqT.ind") 0 0 ;;
+let _False = Cic.MutInd (UriManager.uri_of_string 
+ "cic:/Coq/Init/Logic/False.ind") 0 0 ;;
+let _not = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/Init/Logic/not.con") 0;;
+let _R0 = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/Reals/Rdefinitions/R0.con") 0 ;;
+let _R1 = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/Reals/Rdefinitions/R1.con") 0 ;;
+let _R = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/Reals/Rdefinitions/R.con") 0 ;;
+let _Rfourier_eqLR_to_le=Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_eqLR_to_le.con") 0 ;;
+let _Rfourier_eqRL_to_le=Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_eqRL_to_le.con") 0 ;;
+let _Rfourier_ge_to_le  =Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_ge_to_le.con") 0 ;;
+let _Rfourier_gt_to_lt         =Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_gt_to_lt.con") 0 ;;
+let _Rfourier_le=Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_le.con") 0 ;;
+let _Rfourier_le_le =Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_le_le.con") 0 ;;
+let _Rfourier_le_lt =Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_le_lt.con") 0 ;;
+let _Rfourier_lt=Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_lt.con") 0 ;;
+let _Rfourier_lt_le =Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_lt_le.con") 0 ;;
+let _Rfourier_lt_lt =Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_lt_lt.con") 0 ;;
+let _Rfourier_not_ge_lt = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_not_ge_lt.con") 0 ;;
+let _Rfourier_not_gt_le = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_not_gt_le.con") 0 ;;
+let _Rfourier_not_le_gt = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_not_le_gt.con") 0 ;;
+let _Rfourier_not_lt_ge = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rfourier_not_lt_ge.con") 0 ;;
+let _Rinv  = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/Reals/Rdefinitions/Rinv.con") 0 ;;
+let _Rinv_R1 = Cic.Const(UriManager.uri_of_string 
+ "cic:/Coq/Reals/Rbase/Rinv_R1.con" ) 0;;
+let _Rle = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/Reals/Rdefinitions/Rle.con") 0 ;;
+let _Rle_mult_inv_pos =  Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rle_mult_inv_pos.con") 0 ;;
+let _Rle_not_lt = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rle_not_lt.con") 0 ;;
+let _Rle_zero_1 = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rle_zero_1.con") 0 ;;
+let _Rle_zero_pos_plus1 =  Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rle_zero_pos_plus1.con") 0 ;;
+let _Rle_zero_zero = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rle_zero_zero.con") 0 ;;
+let _Rlt = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/Reals/Rdefinitions/Rlt.con") 0 ;;
+let _Rlt_mult_inv_pos = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rlt_mult_inv_pos.con") 0 ;;
+let _Rlt_not_le =  Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rlt_not_le.con") 0 ;;
+let _Rlt_zero_1 = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rlt_zero_1.con") 0 ;;
+let _Rlt_zero_pos_plus1 = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rlt_zero_pos_plus1.con") 0 ;;
+let _Rminus = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/Reals/Rdefinitions/Rminus.con") 0 ;;
+let _Rmult = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/Reals/Rdefinitions/Rmult.con") 0 ;;
+let _Rnot_le_le =Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rnot_le_le.con") 0 ;;
+let _Rnot_lt0 = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rnot_lt0.con") 0 ;;
+let _Rnot_lt_lt =Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/fourier/Fourier_util/Rnot_lt_lt.con") 0 ;;
+let _Ropp = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/Reals/Rdefinitions/Ropp.con") 0 ;;
+let _Rplus = Cic.Const (UriManager.uri_of_string 
+ "cic:/Coq/Reals/Rdefinitions/Rplus.con") 0 ;;
+let _sym_eqT = Cic.Const(UriManager.uri_of_string 
+ "cic:/Coq/Init/Logic_Type/Equality_is_a_congruence/sym_eqT.con") 0 ;;
+
+(******************************************************************************)
+
 let is_int x = (x.den)=1
 ;;
 
@@ -565,18 +646,6 @@ let rational_to_real x =
 (* preuve que 0<n*1/d
 *)
 
-
-(*
-let tac_zero_inf_pos gl (n,d) =
-   (*let cste = pf_parse_constr gl in*)
-   let tacn=ref (PrimitiveTactics.apply_tac ~term:_Rlt_zero_1 ) in
-   let tacd=ref (PrimitiveTactics.apply_tac ~term:_Rlt_zero_1 ) in
-   for i=1 to n-1 do 
-       tacn:=(Tacticals.then_ ~start:(PrimitiveTactics.apply_tac ~term:_Rlt_zero_pos_plus1) ~continuation:!tacn); done;
-   for i=1 to d-1 do
-       tacd:=(Tacticals.then_ ~start:(PrimitiveTactics.apply_tac ~term:_Rlt_zero_pos_plus1) ~continuation:!tacd); done;
-   (Tacticals.thens ~start:(PrimitiveTactics.apply_tac ~term:_Rlt_mult_inv_pos) ~continuations:[!tacn;!tacd])
-;;*)
 let tac_zero_inf_pos (n,d) ~status =
    (*let cste = pf_parse_constr gl in*)
    let pall str ~status:(proof,goal) t =
@@ -587,15 +656,24 @@ let tac_zero_inf_pos (n,d) ~status =
      debug ("ty = "^ CicPp.ppterm ty^"\n"); 
    in
    let tacn=ref 
-     (fun ~status -> pall "n0" ~status _Rlt_zero_1 ;PrimitiveTactics.apply_tac ~term:_Rlt_zero_1 ~status ) in
+     (fun ~status -> pall "n0" ~status _Rlt_zero_1 ;
+       PrimitiveTactics.apply_tac ~term:_Rlt_zero_1 ~status ) in
    let tacd=ref 
-     (fun ~status -> pall "d0" ~status _Rlt_zero_1 ;PrimitiveTactics.apply_tac ~term:_Rlt_zero_1 ~status ) in
+     (fun ~status -> pall "d0" ~status _Rlt_zero_1 ;
+       PrimitiveTactics.apply_tac ~term:_Rlt_zero_1 ~status ) in
 
 
   for i=1 to n-1 do 
-       tacn:=(Tacticals.then_ ~start:(fun ~status -> pall ("n"^string_of_int i) ~status _Rlt_zero_pos_plus1;PrimitiveTactics.apply_tac ~term:_Rlt_zero_pos_plus1 ~status) ~continuation:!tacn); done;
-   for i=1 to d-1 do
-       tacd:=(Tacticals.then_ ~start:(fun ~status -> pall "d" ~status _Rlt_zero_pos_plus1 ;PrimitiveTactics.apply_tac ~term:_Rlt_zero_pos_plus1 ~status) ~continuation:!tacd); done;
+       tacn:=(Tacticals.then_ ~start:(fun ~status -> pall ("n"^string_of_int i) 
+        ~status _Rlt_zero_pos_plus1;
+        PrimitiveTactics.apply_tac ~term:_Rlt_zero_pos_plus1 ~status) 
+         ~continuation:!tacn); 
+  done;
+  for i=1 to d-1 do
+       tacd:=(Tacticals.then_ ~start:(fun ~status -> pall "d" 
+        ~status _Rlt_zero_pos_plus1 ;PrimitiveTactics.apply_tac 
+        ~term:_Rlt_zero_pos_plus1 ~status) ~continuation:!tacd); 
+  done;
 
 
 
@@ -613,19 +691,30 @@ debug("TAC ZERO INF POS\n");
 (* preuve que 0<=n*1/d
 *)
  
-let tac_zero_infeq_pos gl (n,d) =
-   (*let cste = pf_parse_constr gl in*)
-   let tacn = ref (if n=0 then
-       (PrimitiveTactics.apply_tac ~term:_Rle_zero_zero ) 
-       else
-       (PrimitiveTactics.apply_tac ~term:_Rle_zero_1 ))
-   in
-   let tacd=ref (PrimitiveTactics.apply_tac ~term:_Rlt_zero_1 ) in
-   for i=1 to n-1 do 
-       tacn:=(Tacticals.then_ ~start:(PrimitiveTactics.apply_tac ~term:_Rle_zero_pos_plus1) ~continuation:!tacn); done;
-   for i=1 to d-1 do
-       tacd:=(Tacticals.then_ ~start:(PrimitiveTactics.apply_tac ~term:_Rlt_zero_pos_plus1) ~continuation:!tacd); done;
-   (Tacticals.thens ~start:(PrimitiveTactics.apply_tac ~term:_Rle_mult_inv_pos) ~continuations:[!tacn;!tacd])
+let tac_zero_infeq_pos gl (n,d) ~status =
+ (*let cste = pf_parse_constr gl in*)
+ debug("inizio tac_zero_infeq_pos\n");
+ let tacn = ref 
+  (if n=0 then
+    (PrimitiveTactics.apply_tac ~term:_Rle_zero_zero ) 
+   else
+    (PrimitiveTactics.apply_tac ~term:_Rle_zero_1 )
+  )
+  in
+  let tacd=ref (PrimitiveTactics.apply_tac ~term:_Rlt_zero_1 ) in
+  for i=1 to n-1 do 
+      tacn:=(Tacticals.then_ ~start:(PrimitiveTactics.apply_tac 
+       ~term:_Rle_zero_pos_plus1) ~continuation:!tacn); 
+  done;
+  for i=1 to d-1 do
+      tacd:=(Tacticals.then_ ~start:(PrimitiveTactics.apply_tac 
+       ~term:_Rlt_zero_pos_plus1) ~continuation:!tacd); 
+  done;
+  let r = 
+  (Tacticals.thens ~start:(PrimitiveTactics.apply_tac 
+   ~term:_Rle_mult_inv_pos) ~continuations:[!tacn;!tacd]) ~status in
+   debug("fine tac_zero_infeq_pos\n");
+   r
 ;;
 
 
@@ -633,19 +722,45 @@ let tac_zero_infeq_pos gl (n,d) =
 (* preuve que 0<(-n)*(1/d) => False 
 *)
 
-let tac_zero_inf_false gl (n,d) =
-    if n=0 then (PrimitiveTactics.apply_tac ~term:_Rnot_lt0)
+let tac_zero_inf_false gl (n,d) ~status=
+  debug("inizio tac_zero_inf_false\n");
+    if n=0 then 
+     (debug "1\n";let r =(PrimitiveTactics.apply_tac ~term:_Rnot_lt0 ~status) in
+     debug("fine\n");
+     r)
     else
-     (Tacticals.then_ ~start:(PrimitiveTactics.apply_tac ~term:_Rle_not_lt)
-             ~continuation:(tac_zero_infeq_pos gl (-n,d)))
+     (debug "2\n";let r = (Tacticals.then_ ~start:(
+       fun ~status:(proof,goal as status) -> 
+       let curi,metasenv,pbo,pty = proof in
+       let metano,context,ty =List.find (function (m,_,_) -> m=goal) metasenv in
+         debug("!!!!!!!!1:unify "^CicPp.ppterm _Rle_not_lt^" with "
+         ^ CicPp.ppterm ty ^" fails\n");
+       let r = PrimitiveTactics.apply_tac ~term:_Rle_not_lt ~status in
+       debug("!!!!!!!!!2\n");
+       r
+       )
+     ~continuation:(tac_zero_infeq_pos gl (-n,d))) ~status in
+     debug("fine\n");
+     r
+     )
 ;;
 
 (* preuve que 0<=(-n)*(1/d) => False 
 *)
 
-let tac_zero_infeq_false gl (n,d) =
-     (Tacticals.then_ ~start:(PrimitiveTactics.apply_tac ~term:_Rlt_not_le)
-             ~continuation:(tac_zero_inf_pos (-n,d)))
+let tac_zero_infeq_false gl (n,d) ~status:(proof,goal as status)=
+debug("stat tac_zero_infeq_false\n");
+(*let r = 
+     (
+     let curi,metasenv,pbo,pty = proof in
+     let metano,context,ty =List.find (function (m,_,_) -> m=goal) metasenv in
+     
+     debug("apply di _Rlt_not_le a "^ CicPp.ppterm ty ^"\n");
+     Tacticals.then_ ~start:(PrimitiveTactics.apply_tac ~term:_Rlt_not_le)
+             ~continuation:(tac_zero_inf_pos (-n,d))) ~status in
+ debug("end tac_zero_infeq_false\n");
+ r*)
+ Ring.id_tac ~status
 ;;
 
 
@@ -660,7 +775,8 @@ let apply_type_tac ~cast:t ~applist:al ~status:(proof,goal) =
   let metasenv' = (fresh_meta,context,t)::metasenv in
    let proof' = curi,metasenv',pbo,pty in
     let proof'',goals =
-     PrimitiveTactics.apply_tac ~term:(Cic.Appl ((Cic.Cast (Cic.Meta (fresh_meta,irl),t))::al)) ~status:(proof',goal)
+     PrimitiveTactics.apply_tac ~term:(Cic.Appl ((Cic.Cast (Cic.Meta 
+      (fresh_meta,irl),t))::al)) ~status:(proof',goal)
     in
      proof'',fresh_meta::goals
 ;;
@@ -679,7 +795,9 @@ let my_cut ~term:c ~status:(proof,goal)=
   let metasenv' = (fresh_meta,context,c)::metasenv in
    let proof' = curi,metasenv',pbo,pty in
     let proof'',goals =
-     apply_type_tac ~cast:(Cic.Prod(Cic.Name "Anonymous",c,CicSubstitution.lift 1 ty)) ~applist:[Cic.Meta(fresh_meta,irl)] ~status:(proof',goal)
+     apply_type_tac ~cast:(Cic.Prod(Cic.Name "Anonymous",c,
+      CicSubstitution.lift 1 ty)) ~applist:[Cic.Meta(fresh_meta,irl)] 
+       ~status:(proof',goal)
     in
      (* We permute the generated goals to be consistent with Coq *)
      match goals with
@@ -701,14 +819,18 @@ let res =
 match h.htype with
   "Rlt" -> exact ~term:h.hname ~status
   |"Rle" -> exact ~term:h.hname ~status
-  |"Rgt" -> (Tacticals.then_ ~start:(PrimitiveTactics.apply_tac ~term:_Rfourier_gt_to_lt)
-      ~continuation:(exact ~term:h.hname)) ~status
-  |"Rge" -> (Tacticals.then_ ~start:(PrimitiveTactics.apply_tac ~term:_Rfourier_ge_to_le)
-      ~continuation:(exact ~term:h.hname)) ~status
-  |"eqTLR" -> (Tacticals.then_ ~start:(PrimitiveTactics.apply_tac ~term:_Rfourier_eqLR_to_le)
-      ~continuation:(exact ~term:h.hname)) ~status
-  |"eqTRL" -> (Tacticals.then_ ~start:(PrimitiveTactics.apply_tac ~term:_Rfourier_eqRL_to_le)
-      ~continuation:(exact ~term:h.hname)) ~status
+  |"Rgt" -> (Tacticals.then_ ~start:(PrimitiveTactics.apply_tac 
+             ~term:_Rfourier_gt_to_lt) 
+             ~continuation:(exact ~term:h.hname)) ~status
+  |"Rge" -> (Tacticals.then_ ~start:(PrimitiveTactics.apply_tac 
+             ~term:_Rfourier_ge_to_le)
+              ~continuation:(exact ~term:h.hname)) ~status
+  |"eqTLR" -> (Tacticals.then_ ~start:(PrimitiveTactics.apply_tac 
+               ~term:_Rfourier_eqLR_to_le)
+                ~continuation:(exact ~term:h.hname)) ~status
+  |"eqTRL" -> (Tacticals.then_ ~start:(PrimitiveTactics.apply_tac 
+               ~term:_Rfourier_eqRL_to_le)
+                ~continuation:(exact ~term:h.hname)) ~status
   |_->assert false
 in
 debug("Fine TAC_USE\n");
@@ -773,13 +895,16 @@ let rec filter_real_hyp context cont =
 let rec superlift c n=
   match c with
   [] -> []
-  | Some(name,Cic.Decl(a))::next  -> [Some(name,Cic.Decl(CicSubstitution.lift n a))] @ superlift next (n+1)
-  | Some(name,Cic.Def(a))::next   -> [Some(name,Cic.Def(CicSubstitution.lift n a))] @ superlift next (n+1)
+  | Some(name,Cic.Decl(a))::next  -> [Some(name,Cic.Decl(
+                  CicSubstitution.lift n a))] @ superlift next (n+1)
+  | Some(name,Cic.Def(a))::next   -> [Some(name,Cic.Def(
+                  CicSubstitution.lift n a))] @ superlift next (n+1)
   | _::next -> superlift next (n+1) (*??  ??*)
  
 ;;
 
 let equality_replace a b ~status =
+debug("inizio EQ\n");
  let module C = Cic in
   let proof,goal = status in
   let curi,metasenv,pbo,pty = proof in
@@ -789,11 +914,15 @@ let equality_replace a b ~status =
    let irl =
     ProofEngineHelpers.identity_relocation_list_for_metavariable context in
    let metasenv' = (fresh_meta,context,a_eq_b)::metasenv in
+debug("chamo rewrite tac su "^CicPp.ppterm (C.Meta (fresh_meta,irl))^" e ty "^CicPp.ppterm ty ^"\n");
    let (proof,goals) =
-    rewrite_tac ~term:(C.Meta (fresh_meta,irl))
+    rewrite_simpl_tac ~term:(C.Meta (fresh_meta,irl))
      ~status:((curi,metasenv',pbo,pty),goal)
    in
-    (proof,fresh_meta::goals)
+   let new_goals = fresh_meta::goals in
+debug("fine EQ -> goals : "^string_of_int( List.length new_goals)  ^" = "
+  ^string_of_int( List.length goals)^"+ meta\n");
+    (proof,new_goals)
 ;;
 
 let tcl_fail a ~status:(proof,goal) =
@@ -809,9 +938,9 @@ let assumption_tac ~status:(proof,goal)=
   let num = ref 0 in
   let tac_list = List.map 
        ( fun x -> num := !num + 1;
-                  match x with
-                       Some(Cic.Name(nm),t) -> (nm,exact ~term:(Cic.Rel(!num)))
-                       | _ -> ("fake",tcl_fail 1)
+               match x with
+                 Some(Cic.Name(nm),t) -> (nm,exact ~term:(Cic.Rel(!num)))
+                 | _ -> ("fake",tcl_fail 1)
        )  
        context 
   in
@@ -832,26 +961,32 @@ let contradiction_tac ~status:(proof,goal)=
 
 let rec fourier ~status:(s_proof,s_goal)=
   let s_curi,s_metasenv,s_pbo,s_pty = s_proof in
-  let s_metano,s_context,s_ty = List.find (function (m,_,_) -> m=s_goal) s_metasenv in
+  let s_metano,s_context,s_ty = List.find (function (m,_,_) -> m=s_goal) 
+   s_metasenv in
        
   debug ("invoco fourier_tac sul goal "^string_of_int(s_goal)^" e contesto :\n");
   debug_pcontext s_context;
 
   let fhyp = String.copy "new_hyp_for_fourier" in 
    
-   (* here we need to negate the thesis, but to do this we nned to apply the right theoreme,
-      so let's parse our thesis *)
+(* here we need to negate the thesis, but to do this we need to apply the right
+theoreme,so let's parse our thesis *)
   
   let th_to_appl = ref _Rfourier_not_le_gt in   
   (match s_ty with
-       Cic.Appl ( Cic.Const(u,boh)::args) ->
-               (match UriManager.string_of_uri u with
-                        "cic:/Coq/Reals/Rdefinitions/Rlt.con" -> th_to_appl := _Rfourier_not_ge_lt
-                       |"cic:/Coq/Reals/Rdefinitions/Rle.con" -> th_to_appl := _Rfourier_not_gt_le
-                       |"cic:/Coq/Reals/Rdefinitions/Rgt.con" -> th_to_appl := _Rfourier_not_le_gt
-                       |"cic:/Coq/Reals/Rdefinitions/Rge.con" -> th_to_appl := _Rfourier_not_lt_ge
-                       |_-> failwith "fourier can't be applyed")
-       |_-> failwith "fourier can't be applyed"); (* fix maybe strip_outer_cast goes here?? *)
+   Cic.Appl ( Cic.Const(u,boh)::args) ->
+    (match UriManager.string_of_uri u with
+       "cic:/Coq/Reals/Rdefinitions/Rlt.con" -> th_to_appl := 
+               _Rfourier_not_ge_lt
+       |"cic:/Coq/Reals/Rdefinitions/Rle.con" -> th_to_appl := 
+               _Rfourier_not_gt_le
+       |"cic:/Coq/Reals/Rdefinitions/Rgt.con" -> th_to_appl := 
+               _Rfourier_not_le_gt
+       |"cic:/Coq/Reals/Rdefinitions/Rge.con" -> th_to_appl := 
+               _Rfourier_not_lt_ge
+       |_-> failwith "fourier can't be applyed")
+   |_-> failwith "fourier can't be applyed"); 
+   (* fix maybe strip_outer_cast goes here?? *)
 
    (* now let's change our thesis applying the th and put it with hp *) 
 
@@ -859,7 +994,8 @@ let rec fourier ~status:(s_proof,s_goal)=
        ~start:(PrimitiveTactics.apply_tac ~term:!th_to_appl)
        ~continuation:(PrimitiveTactics.intros_tac ~name:fhyp)
                ~status:(s_proof,s_goal) in
-   let goal = if List.length gl = 1 then List.hd gl else failwith "a new goal" in
+   let goal = if List.length gl = 1 then List.hd gl 
+                                    else failwith "a new goal" in
 
    debug ("port la tesi sopra e la nego. contesto :\n");
    debug_pcontext s_context;
@@ -887,16 +1023,18 @@ let rec fourier ~status:(s_proof,s_goal)=
   (* transform hyps into inequations *)
   
   List.iter (fun h -> try (lineq:=(ineq1_of_term h)@(!lineq))
-                       with _-> ())
+                       with _-> debug("Impossibile trasformare l'ipotesi "^CicPp.ppterm (snd h)^" in ineq\n");)
               hyps;
 
            
-  debug ("applico fourier a "^ string_of_int (List.length !lineq)^" disequazioni\n");
+  debug ("applico fourier a "^ string_of_int (List.length !lineq)^
+         " disequazioni\n");
 
   let res=fourier_lineq (!lineq) in
   let tac=ref Ring.id_tac in
   if res=[] then 
-       (print_string "Tactic Fourier fails.\n";flush stdout;failwith "fourier_tac fails")
+       (print_string "Tactic Fourier fails.\n";flush stdout;
+        failwith "fourier can't proove it")
   else 
   (
   match res with (*match res*)
@@ -911,177 +1049,215 @@ let rec fourier ~status:(s_proof,s_goal)=
      let lutil=ref [] in
      List.iter 
         (fun (h,c) -> if c<>r0 then (lutil:=(h,c)::(!lutil);
-                                    (* DBG *)Fourier.print_rational(c);print_string " "(* DBG *))
+          (* DBG *)Fourier.print_rational(c);print_string " "(* DBG *))
                                     )
         (List.combine (!lineq) lc); 
        
-     print_string (" quindi lutil e' lunga "^string_of_int (List.length (!lutil))^"\n");                  
+     print_string (" quindi lutil e' lunga "^
+      string_of_int (List.length (!lutil))^"\n");                 
        
      (* on construit la combinaison linéaire des inéquation *)
      
      (match (!lutil) with (*match (!lutil) *)
-      (h1,c1)::lutil ->
-          
-         debug ("elem di lutil ");Fourier.print_rational c1;print_string "\n"; 
+       (h1,c1)::lutil ->
+       debug ("elem di lutil ");Fourier.print_rational c1;print_string "\n"; 
          
-         let s=ref (h1.hstrict) in
+       let s=ref (h1.hstrict) in
          
-         (*  let t1=ref (mkAppL [|parse "Rmult";parse (rational_to_real c1);h1.hleft|]) in
-             let t2=ref (mkAppL [|parse "Rmult";parse (rational_to_real c1);h1.hright|]) in
-         *)
           
-         let t1 = ref (Cic.Appl [_Rmult;rational_to_real c1;h1.hleft] ) in
-         let t2 = ref (Cic.Appl [_Rmult;rational_to_real c1;h1.hright]) in
+       let t1 = ref (Cic.Appl [_Rmult;rational_to_real c1;h1.hleft] ) in
+       let t2 = ref (Cic.Appl [_Rmult;rational_to_real c1;h1.hright]) in
 
-         List.iter (fun (h,c) ->
+       List.iter (fun (h,c) ->
               s:=(!s)||(h.hstrict);
-              t1:=(Cic.Appl [_Rplus;!t1;Cic.Appl [_Rmult;rational_to_real c;h.hleft ]  ]);
-              t2:=(Cic.Appl [_Rplus;!t2;Cic.Appl [_Rmult;rational_to_real c;h.hright]  ]))
+              t1:=(Cic.Appl [_Rplus;!t1;Cic.Appl 
+                    [_Rmult;rational_to_real c;h.hleft ]  ]);
+              t2:=(Cic.Appl [_Rplus;!t2;Cic.Appl 
+                    [_Rmult;rational_to_real c;h.hright]  ]))
                lutil;
               
-          let ineq=Cic.Appl [(if (!s) then _Rlt else _Rle);!t1;!t2 ] in
-         let tc=rational_to_real cres in
+       let ineq=Cic.Appl [(if (!s) then _Rlt else _Rle);!t1;!t2 ] in
+       let tc=rational_to_real cres in
 
 
-          (* ora ho i termini che descrivono i passi di fourier per risolvere il sistema *)
+(* ora ho i termini che descrivono i passi di fourier per risolvere il sistema *)
        
-          debug "inizio a costruire tac1\n";
-         Fourier.print_rational(c1);
+       debug "inizio a costruire tac1\n";
+       Fourier.print_rational(c1);
          
-          let tac1=ref ( fun ~status -> 
-                       debug ("Sotto tattica t1 "^(if h1.hstrict then "strict" else "lasc")^"\n");
-                       if h1.hstrict then 
-                           (Tacticals.thens ~start:(
-                           fun ~status -> 
-                           debug ("inizio t1 strict\n");
-                           let curi,metasenv,pbo,pty = proof in
-                           let metano,context,ty = List.find (function (m,_,_) -> m=goal) metasenv in
-                           debug ("th = "^ CicPp.ppterm _Rfourier_lt ^"\n"); 
-                           debug ("ty = "^ CicPp.ppterm ty^"\n"); 
-     
-                           PrimitiveTactics.apply_tac ~term:_Rfourier_lt ~status)
-                                             ~continuations:[tac_use h1;
-                                            
-                                            tac_zero_inf_pos (rational_to_fraction c1)] ~status
-                                            
-                                            )
-                         else 
-                           (Tacticals.thens ~start:(PrimitiveTactics.apply_tac ~term:_Rfourier_le)
-                                             ~continuations:[tac_use h1;tac_zero_inf_pos                                                 (rational_to_fraction c1)] ~status))
-                                                   
-          in
-          s:=h1.hstrict;
-         
-          List.iter (fun (h,c) -> 
-               (if (!s) then 
-                   (if h.hstrict then 
-                       (debug("tac1 1\n");
-                       tac1:=(Tacticals.thens ~start:(PrimitiveTactics.apply_tac 
-                                                       ~term:_Rfourier_lt_lt)
-                                              ~continuations:[!tac1;tac_use h;
-                                                      tac_zero_inf_pos   
-                                                      (rational_to_fraction c)]))
-                   else 
-                   (
-                       debug("tac1 2\n");
-                       Fourier.print_rational(c1);
-                       tac1:=(Tacticals.thens ~start:(
-                                       fun ~status -> 
-                                       debug("INIZIO TAC 1 2\n");
-                                       
-                                       let curi,metasenv,pbo,pty = proof in
-                                       let metano,context,ty = List.find (function (m,_,_) -> m=goal) metasenv in
-                                       debug ("th = "^ CicPp.ppterm _Rfourier_lt_le ^"\n"); 
-                                       debug ("ty = "^ CicPp.ppterm ty^"\n"); 
-     
-                                       PrimitiveTactics.apply_tac ~term:_Rfourier_lt_le ~status
-                                                      
-                                                      )
-                                              ~continuations:[!tac1;tac_use h; 
-                                                      
-                                                      tac_zero_inf_pos (rational_to_fraction c)
-                                                      
-                                                      ]))
-                    )
-               else 
-                   (if h.hstrict then 
-                       (
-                       
-                       debug("tac1 3\n");
-                       tac1:=(Tacticals.thens ~start:(PrimitiveTactics.apply_tac ~term:_Rfourier_le_lt)
-                                              ~continuations:[!tac1;tac_use h; 
-                                                      tac_zero_inf_pos  
-                                                       (rational_to_fraction c)]))
-                   else 
-                       (
-                       debug("tac1 4\n");
-                       tac1:=(Tacticals.thens ~start:(PrimitiveTactics.apply_tac ~term:_Rfourier_le_le)
-                                              ~continuations:[!tac1;tac_use h; 
-                                                      tac_zero_inf_pos  
-                                                       (rational_to_fraction c)]))
-                                                      
-                                                      )
-                                                     );
-             s:=(!s)||(h.hstrict))
-              lutil;(*end List.iter*)
+       let tac1=ref ( fun ~status -> 
+        if h1.hstrict then 
+          (Tacticals.thens 
+            ~start:(
+             fun ~status -> 
+             debug ("inizio t1 strict\n");
+             let curi,metasenv,pbo,pty = proof in
+             let metano,context,ty = List.find 
+              (function (m,_,_) -> m=goal) metasenv in
+             debug ("th = "^ CicPp.ppterm _Rfourier_lt ^"\n"); 
+             debug ("ty = "^ CicPp.ppterm ty^"\n"); 
+              PrimitiveTactics.apply_tac ~term:_Rfourier_lt ~status)
+            ~continuations:[tac_use h1;tac_zero_inf_pos  
+             (rational_to_fraction c1)] 
+           ~status
+          )
+           else 
+          (Tacticals.thens 
+            ~start:(PrimitiveTactics.apply_tac ~term:_Rfourier_le)
+             ~continuations:[tac_use h1;tac_zero_inf_pos
+             (rational_to_fraction c1)] ~status
+          )
+        )
+                   
+       in
+       s:=h1.hstrict;
+       List.iter (fun (h,c) -> 
+         (if (!s) then 
+          (if h.hstrict then 
+            (debug("tac1 1\n");
+            tac1:=(Tacticals.thens 
+              ~start:(PrimitiveTactics.apply_tac 
+               ~term:_Rfourier_lt_lt)
+              ~continuations:[!tac1;tac_use h;tac_zero_inf_pos
+               (rational_to_fraction c)])
+            )
+          else 
+            (debug("tac1 2\n");
+            Fourier.print_rational(c1);
+            tac1:=(Tacticals.thens 
+             ~start:(
+               fun ~status -> 
+               debug("INIZIO TAC 1 2\n");
+               let curi,metasenv,pbo,pty = proof in
+               let metano,context,ty = List.find (function (m,_,_) -> m=goal) 
+                metasenv in
+               debug ("th = "^ CicPp.ppterm _Rfourier_lt_le ^"\n"); 
+               debug ("ty = "^ CicPp.ppterm ty^"\n"); 
+                PrimitiveTactics.apply_tac ~term:_Rfourier_lt_le ~status)
+             ~continuations:[!tac1;tac_use h;tac_zero_inf_pos 
+               (rational_to_fraction c)])
+             )
+           )
+        else 
+           (if h.hstrict then 
+            (debug("tac1 3\n");
+            tac1:=(Tacticals.thens 
+              ~start:(PrimitiveTactics.apply_tac ~term:_Rfourier_le_lt)
+              ~continuations:[!tac1;tac_use h;tac_zero_inf_pos  
+                (rational_to_fraction c)])
+            )
+          else 
+            (debug("tac1 4\n");
+            tac1:=(Tacticals.thens 
+              ~start:(PrimitiveTactics.apply_tac ~term:_Rfourier_le_le)
+              ~continuations:[!tac1;tac_use h;tac_zero_inf_pos  
+                (rational_to_fraction c)])
+            )
+           )
+        );
+        s:=(!s)||(h.hstrict)) lutil;(*end List.iter*)
+                     
+       let tac2 = 
+         if sres then 
+          tac_zero_inf_false goal (rational_to_fraction cres)
+         else 
+          tac_zero_infeq_false goal (rational_to_fraction cres)
+       in
+       tac:=(Tacticals.thens 
+         ~start:(my_cut ~term:ineq) 
+         ~continuations:[Tacticals.then_  
+          ~start:(fun ~status:(proof,goal as status) ->
+             let curi,metasenv,pbo,pty = proof in
+             let metano,context,ty = List.find (function (m,_,_) -> m=goal) 
+             metasenv in
+
+               debug("Change_tac "^CicPp.ppterm ty^" with "^CicPp.ppterm (Cic.Appl [ _not; ineq]) ^"\n");
              
-           let tac2= if sres then 
-                         tac_zero_inf_false goal (rational_to_fraction cres)
-                      else 
-                         tac_zero_infeq_false goal (rational_to_fraction cres)
-           in
-           tac:=(Tacticals.thens ~start:(my_cut ~term:ineq) 
-                     ~continuations:[Tacticals.then_  (* ?????????????????????????????? *)
-                       ~start:(fun ~status:(proof,goal as status) ->
-                                 let curi,metasenv,pbo,pty = proof in
-                                 let metano,context,ty = List.find (function (m,_,_) -> m=goal) metasenv in
-                                  PrimitiveTactics.change_tac ~what:ty ~with_what:(Cic.Appl [ _not; ineq]) ~status)
-                       ~continuation:(Tacticals.then_ 
-                               ~start:(PrimitiveTactics.apply_tac 
-                                               ~term:(if sres then _Rnot_lt_lt else _Rnot_le_le))
-                               ~continuation:(Tacticals.thens 
-                                               ~start:(equality_replace (Cic.Appl [_Rminus;!t2;!t1] ) tc)
-                                               ~continuations:[(*tac2;*)(Tacticals.thens 
-                                                       ~start:(equality_replace (Cic.Appl[_Rinv;_R1]) _R1)
-                                                       ~continuations:   
-               [
-               (*
-               Tacticals.try_tactics 
-                       (* ???????????????????????????? *)
-               ~tactics:[ "ring", Ring.ring_tac  ; "id", Ring.id_tac] 
-                               ;*)
-               Tacticals.then_ 
-               ~start:(PrimitiveTactics.apply_tac ~term:_sym_eqT)
-               ~continuation:(PrimitiveTactics.apply_tac ~term:_Rinv_R1)
-               ;
-               Tacticals.try_tactics 
-                       (* ???????????????????????????? *)
-               ~tactics:[ "ring", Ring.ring_tac  ; "id", Ring.id_tac] 
-               
-               ]
-                               
-                                        )
-                                       ;tac2   ] (* end continuations before comment *)
-                                       )
-                               );
-                       !tac1]
-               );(*end tac:=*)
-          tac:=(Tacticals.thens ~start:(PrimitiveTactics.cut_tac ~term:_False)
-                                ~continuations:[Tacticals.then_ 
-                                       (* ??????????????????????????????? 
-                                          in coq era intro *)
-                                       ~start:(PrimitiveTactics.intros_tac ~name:(String.copy "??"))
-                                       (* ????????????????????????????? *)
-                                       
-                                       ~continuation:contradiction_tac;!tac])
-
-
-      |_-> assert false)(*match (!lutil) *)
+             PrimitiveTactics.change_tac ~what:ty 
+             ~with_what:(Cic.Appl [ _not; ineq]) ~status)
+          ~continuation:(Tacticals.then_ 
+             ~start:(PrimitiveTactics.apply_tac ~term:
+              (if sres then _Rnot_lt_lt else _Rnot_le_le))
+            ~continuation:(Tacticals.thens 
+              ~start:( 
+                fun ~status ->
+                let r = equality_replace (Cic.Appl [_Rminus;!t2;!t1] ) tc 
+                 ~status
+                in
+                (match r with (p,gl) -> 
+                  debug("eq1 ritorna "^string_of_int(List.length gl)^"\n" ));
+                 r)
+              ~continuations:[(Tacticals.thens 
+                ~start:(
+                  fun ~status:(proof,goals as status) ->
+
+                  let r = equality_replace (Cic.Appl[_Rinv;_R1]) _R1 ~status in
+                  (match r with (p,gl) ->
+                    debug("eq2 ritorna "^string_of_int(List.length gl)^"\n" ));
+                  r)
+                ~continuations:
+                   [PrimitiveTactics.apply_tac ~term:_Rinv_R1
+(* CSC: Il nostro goal e' 1^-1 = 1 e non 1 = 1^-1. Quindi non c'e' bisogno
+   di applicare sym_eqT. Perche' in Coq il goal e' al contrario? Forse i
+   parametri della equality_replace vengono passati al contrario? Oppure la
+   tattica usa i parametri al contrario?
+                ~continuations:[Tacticals.then_ 
+                  ~start:(
+                    fun ~status:(proof,goal as status) ->
+                    debug("ECCOCI\n");
+                     let curi,metasenv,pbo,pty = proof in
+                    let metano,context,ty = List.find (function (m,_,_) -> m=
+                     goal) metasenv in
+                     debug("ty = "^CicPp.ppterm ty^"\n");
+                    let r = PrimitiveTactics.apply_tac ~term:_sym_eqT
+                     ~status in
+                    debug("fine ECCOCI\n");
+                    r)
+                  ~continuation:(PrimitiveTactics.apply_tac ~term:_Rinv_R1)
+*)
+                ;Tacticals.try_tactics 
+                  ~tactics:[ "ring", (fun ~status -> 
+                                       debug("begin RING\n");
+                                       let r = Ring.ring_tac  ~status in
+                                       debug ("end RING\n");
+                                       r)
+                       ; "id", Ring.id_tac] 
+                ])
+              ;Tacticals.then_ 
+                ~start:
+                 (
+                 fun ~status:(proof,goal as status) ->
+                  let curi,metasenv,pbo,pty = proof in
+                  let metano,context,ty = List.find (function (m,_,_) -> m=
+                   goal) metasenv in
+                  (* check if ty is of type *)
+                  let w1 = 
+                    debug("qui c'e' gia' l'or "^CicPp.ppterm ty^"\n");
+                    (match ty with
+                    (* Fix: aspetta mail di Claudio per capire cosa comporta anonimous*)
+                    Cic.Prod (Cic.Anonimous,a,b) -> (Cic.Appl [_not;a])
+                    |_ -> assert false)
+                  in
+                  let r = PrimitiveTactics.change_tac ~what:ty ~with_what:w1 ~status in
+                  debug("fine MY_CHNGE\n");
+                  r
+                 ) 
+                ~continuation:Ring.id_tac(*tac2*)]))
+        ;Ring.id_tac(*!tac1*)]);(*end tac:=*)
+       tac:=(Tacticals.thens 
+         ~start:(PrimitiveTactics.cut_tac ~term:_False)
+        ~continuations:[Tacticals.then_ 
+          ~start:(PrimitiveTactics.intros_tac ~name:"??")
+          ~continuation:contradiction_tac
+        ;!tac])
+
+
+    |_-> assert false)(*match (!lutil) *)
   |_-> assert false); (*match res*)
-
   debug ("finalmente applico tac\n");
   (!tac ~status:(proof,goal)) 
-
 ;;
 
 let fourier_tac ~status:(proof,goal) = fourier ~status:(proof,goal);;
+
+