TPTP Problem File: ITP160^1.p

%------------------------------------------------------------------------------
% File     : ITP160^1 : TPTP v8.2.0. Released v7.5.0.
% Domain   : Interactive Theorem Proving
% Problem  : Sledgehammer Refine_Basic problem prob_1493__3600276_1
% Version  : Especial.
% English  :

% Refs     : [BH+15] Blanchette et al. (2015), Mining the Archive of Formal
%          : [Des21] Desharnais (2021), Email to Geoff Sutcliffe
% Source   : [Des21]
% Names    : Refine_Basic/prob_1493__3600276_1 [Des21]

% Status   : Theorem
% Rating   : 0.50 v8.2.0, 0.38 v8.1.0, 0.45 v7.5.0
% Syntax   : Number of formulae    : 1079 ( 130 unt; 728 typ;   0 def)
%            Number of atoms       :  863 ( 272 equ;   8 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives : 4393 (  44   ~;   2   |;  38   &;3871   @)
%                                         (   0 <=>; 438  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   9 avg)
%            Number of types       :  188 ( 187 usr)
%            Number of type conns  : 3294 (3294   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  548 ( 541 usr;  29 con; 0-5 aty)
%            Number of variables   : 1393 ( 118   ^;1244   !;  31   ?;1393   :)
% SPC      : TH0_THM_EQU_NAR

% Comments : This file was generated by Sledgehammer 2021-02-23 15:35:33.177
%------------------------------------------------------------------------------
% Could-be-implicit typings (187)
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thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_Itf__a_Mtf__a_J_M_062_Itf__c_Mtf__c_J_J_J,type,
    set_Pr1234209675_a_c_c: $tType ).

thf(ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_Mtf__a_J_M_062_It__Nat__Onat_Mtf__c_J_J,type,
    produc1144174441_nat_c: $tType ).

thf(ty_n_t__Product____Type__Oprod_I_062_It__Int__Oint_Mtf__a_J_M_062_It__Int__Oint_Mtf__c_J_J,type,
    produc1769036905_int_c: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_I_Eo_Mtf__a_J_M_062_I_Eo_Mtf__c_J_J_J,type,
    set_Pr709440729_a_o_c: $tType ).

thf(ty_n_t__Product____Type__Oprod_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_Eo_J_J,type,
    produc878596327_nat_o: $tType ).

thf(ty_n_t__Product____Type__Oprod_I_062_It__Int__Oint_M_Eo_J_M_062_It__Int__Oint_M_Eo_J_J,type,
    produc1620501479_int_o: $tType ).

thf(ty_n_t__Product____Type__Oprod_I_062_I_Eo_Mt__Nat__Onat_J_M_062_I_Eo_Mt__Nat__Onat_J_J,type,
    produc1991839847_o_nat: $tType ).

thf(ty_n_t__Product____Type__Oprod_I_062_I_Eo_Mt__Int__Oint_J_M_062_I_Eo_Mt__Int__Oint_J_J,type,
    produc922271079_o_int: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_Eo_J_J_J,type,
    set_Pr934623755_o_o_o: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J_J,type,
    set_Pr1986765409at_nat: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J_J,type,
    set_Pr1858794777nt_int: $tType ).

thf(ty_n_t__Product____Type__Oprod_I_062_Itf__a_Mtf__a_J_M_062_Itf__c_Mtf__c_J_J,type,
    product_prod_a_a_c_c: $tType ).

thf(ty_n_t__Product____Type__Oprod_I_062_I_Eo_Mtf__a_J_M_062_I_Eo_Mtf__c_J_J,type,
    product_prod_o_a_o_c: $tType ).

thf(ty_n_t__Product____Type__Oprod_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_Eo_J_J,type,
    product_prod_o_o_o_o: $tType ).

thf(ty_n_t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J,type,
    refine449204144nres_d: $tType ).

thf(ty_n_t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    refine440942639nres_c: $tType ).

thf(ty_n_t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J,type,
    refine432681134nres_b: $tType ).

thf(ty_n_t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J,type,
    refine424419629nres_a: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__d_Mtf__d_J_J,type,
    set_Product_prod_d_d: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__d_Mtf__b_J_J,type,
    set_Product_prod_d_b: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__c_Mtf__c_J_J,type,
    set_Product_prod_c_c: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__c_Mtf__a_J_J,type,
    set_Product_prod_c_a: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__b_Mtf__d_J_J,type,
    set_Product_prod_b_d: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__b_Mtf__c_J_J,type,
    set_Product_prod_b_c: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__b_Mtf__b_J_J,type,
    set_Product_prod_b_b: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__b_Mtf__a_J_J,type,
    set_Product_prod_b_a: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__d_J_J,type,
    set_Product_prod_a_d: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__c_J_J,type,
    set_Product_prod_a_c: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__b_J_J,type,
    set_Product_prod_a_b: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__a_J_J,type,
    set_Product_prod_a_a: $tType ).

thf(ty_n_t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
    product_prod_nat_nat: $tType ).

thf(ty_n_t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
    product_prod_int_int: $tType ).

thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_Eo_M_Eo_J_J,type,
    set_Product_prod_o_o: $tType ).

thf(ty_n_t__Product____Type__Oprod_Itf__b_Mtf__d_J,type,
    product_prod_b_d: $tType ).

thf(ty_n_t__Product____Type__Oprod_Itf__a_Mtf__c_J,type,
    product_prod_a_c: $tType ).

thf(ty_n_t__Product____Type__Oprod_Itf__a_Mtf__a_J,type,
    product_prod_a_a: $tType ).

thf(ty_n_t__Product____Type__Oprod_I_Eo_M_Eo_J,type,
    product_prod_o_o: $tType ).

thf(ty_n_t__Autoref____Tagging__Oannot,type,
    autoref_annot: $tType ).

thf(ty_n_t__Nat__Onat,type,
    nat: $tType ).

thf(ty_n_t__Int__Oint,type,
    int: $tType ).

thf(ty_n_tf__d,type,
    d: $tType ).

thf(ty_n_tf__c,type,
    c: $tType ).

thf(ty_n_tf__b,type,
    b: $tType ).

thf(ty_n_tf__a,type,
    a: $tType ).

% Explicit typings (541)
thf(sy_c_Autoref__Tagging_OANNOT_001_062_I_062_I_Eo_M_Eo_J_M_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_Mtf__c_J_J,type,
    autore867490625_o_c_c: ( ( $o > $o ) > ( ( $o > $o ) > c ) > c ) > autoref_annot > ( $o > $o ) > ( ( $o > $o ) > c ) > c ).

thf(sy_c_Autoref__Tagging_OANNOT_001_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_J,type,
    autore1880283407_int_o: ( int > ( int > int > $o ) > int > $o ) > autoref_annot > int > ( int > int > $o ) > int > $o ).

thf(sy_c_Autoref__Tagging_OANNOT_001_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_J,type,
    autore1153274959nt_o_o: ( int > ( int > $o ) > $o ) > autoref_annot > int > ( int > $o ) > $o ).

thf(sy_c_Autoref__Tagging_OANNOT_001_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J,type,
    autore1290907938nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > autoref_annot > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).

thf(sy_c_Autoref__Tagging_OANNOT_001_062_Itf__c_M_062_I_062_Itf__c_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J_J,type,
    autore1757597947_o_o_o: ( c > ( c > $o > $o ) > $o > $o ) > autoref_annot > c > ( c > $o > $o ) > $o > $o ).

thf(sy_c_Autoref__Tagging_OANNOT_001_062_Itf__c_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
    autore956520418nres_c: ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > autoref_annot > c > ( c > refine440942639nres_c ) > refine440942639nres_c ).

thf(sy_c_Autoref__Tagging_OANNOT_001_062_Itf__c_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    autore241567778nres_d: ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > autoref_annot > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).

thf(sy_c_Autoref__Tagging_OANNOT_001_062_Itf__c_M_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_J,type,
    autore1422848225_c_c_c: ( c > ( c > c ) > c ) > autoref_annot > c > ( c > c ) > c ).

thf(sy_c_Autoref__Tagging_OANNOT_001_062_Itf__d_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
    autore73061154nres_c: ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > autoref_annot > d > ( d > refine440942639nres_c ) > refine440942639nres_c ).

thf(sy_c_Autoref__Tagging_OANNOT_001_062_Itf__d_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    autore1505592162nres_d: ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > autoref_annot > d > ( d > refine449204144nres_d ) > refine449204144nres_d ).

thf(sy_c_Autoref__Tagging_OAPP_001_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_001tf__c,type,
    autoref_APP_o_o_c_c: ( ( ( $o > $o ) > c ) > c ) > ( ( $o > $o ) > c ) > c ).

thf(sy_c_Autoref__Tagging_OAPP_001_062_I_Eo_M_Eo_J_001_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_Mtf__c_J,type,
    autore1733926270_o_c_c: ( ( $o > $o ) > ( ( $o > $o ) > c ) > c ) > ( $o > $o ) > ( ( $o > $o ) > c ) > c ).

thf(sy_c_Autoref__Tagging_OAPP_001_062_I_Eo_M_Eo_J_001tf__a,type,
    autoref_APP_o_o_a: ( ( $o > $o ) > a ) > ( $o > $o ) > a ).

thf(sy_c_Autoref__Tagging_OAPP_001_062_I_Eo_M_Eo_J_001tf__c,type,
    autoref_APP_o_o_c: ( ( $o > $o ) > c ) > ( $o > $o ) > c ).

thf(sy_c_Autoref__Tagging_OAPP_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_001_062_It__Int__Oint_M_Eo_J,type,
    autore1156652217_int_o: ( ( int > int > $o ) > int > $o ) > ( int > int > $o ) > int > $o ).

thf(sy_c_Autoref__Tagging_OAPP_001_062_It__Int__Oint_M_Eo_J_001_Eo,type,
    autoref_APP_int_o_o: ( ( int > $o ) > $o ) > ( int > $o ) > $o ).

thf(sy_c_Autoref__Tagging_OAPP_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J,type,
    autore956252284nres_b: ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( a > refine432681134nres_b ) > refine432681134nres_b ).

thf(sy_c_Autoref__Tagging_OAPP_001_062_Itf__c_M_062_I_Eo_M_Eo_J_J_001_062_I_Eo_M_Eo_J,type,
    autore821920247_o_o_o: ( ( c > $o > $o ) > $o > $o ) > ( c > $o > $o ) > $o > $o ).

thf(sy_c_Autoref__Tagging_OAPP_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    autore2084714426nres_c: ( ( c > refine440942639nres_c ) > refine440942639nres_c ) > ( c > refine440942639nres_c ) > refine440942639nres_c ).

thf(sy_c_Autoref__Tagging_OAPP_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J,type,
    autore1159379066nres_d: ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( c > refine449204144nres_d ) > refine449204144nres_d ).

thf(sy_c_Autoref__Tagging_OAPP_001_062_Itf__c_Mtf__c_J_001tf__c,type,
    autoref_APP_c_c_c: ( ( c > c ) > c ) > ( c > c ) > c ).

thf(sy_c_Autoref__Tagging_OAPP_001_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    autore964129529nres_c: ( ( d > refine440942639nres_c ) > refine440942639nres_c ) > ( d > refine440942639nres_c ) > refine440942639nres_c ).

thf(sy_c_Autoref__Tagging_OAPP_001_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J,type,
    autore38794169nres_d: ( ( d > refine449204144nres_d ) > refine449204144nres_d ) > ( d > refine449204144nres_d ) > refine449204144nres_d ).

thf(sy_c_Autoref__Tagging_OAPP_001_Eo_001_Eo,type,
    autoref_APP_o_o: ( $o > $o ) > $o > $o ).

thf(sy_c_Autoref__Tagging_OAPP_001t__Int__Oint_001_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J,type,
    autore1101499084_int_o: ( int > ( int > int > $o ) > int > $o ) > int > ( int > int > $o ) > int > $o ).

thf(sy_c_Autoref__Tagging_OAPP_001t__Int__Oint_001_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J,type,
    autore112221708nt_o_o: ( int > ( int > $o ) > $o ) > int > ( int > $o ) > $o ).

thf(sy_c_Autoref__Tagging_OAPP_001t__Int__Oint_001_062_It__Int__Oint_M_Eo_J,type,
    autore1551339569_int_o: ( int > int > $o ) > int > int > $o ).

thf(sy_c_Autoref__Tagging_OAPP_001t__Int__Oint_001_Eo,type,
    autoref_APP_int_o: ( int > $o ) > int > $o ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__a_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J,type,
    autore781669463nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > a > ( a > refine432681134nres_b ) > refine432681134nres_b ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__a_001_062_I_Eo_M_Eo_J,type,
    autoref_APP_a_o_o: ( a > $o > $o ) > a > $o > $o ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__a_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J,type,
    autore1382402919nres_a: ( a > refine424419629nres_a ) > a > refine424419629nres_a ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__a_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J,type,
    autore1390664424nres_b: ( a > refine432681134nres_b ) > a > refine432681134nres_b ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__a_001tf__a,type,
    autoref_APP_a_a: ( a > a ) > a > a ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__b_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J,type,
    autore1669652584nres_a: ( b > refine424419629nres_a ) > b > refine424419629nres_a ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__b_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J,type,
    autore1677914089nres_b: ( b > refine432681134nres_b ) > b > refine432681134nres_b ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__c_001_062_I_062_Itf__c_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J,type,
    autore1554881264_o_o_o: ( c > ( c > $o > $o ) > $o > $o ) > c > ( c > $o > $o ) > $o > $o ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__c_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J,type,
    autore224164375nres_c: ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > c > ( c > refine440942639nres_c ) > refine440942639nres_c ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__c_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    autore430131799nres_d: ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > c > ( c > refine449204144nres_d ) > refine449204144nres_d ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__c_001_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J,type,
    autoref_APP_c_c_c_c: ( c > ( c > c ) > c ) > c > ( c > c ) > c ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__c_001_062_I_Eo_M_Eo_J,type,
    autoref_APP_c_o_o: ( c > $o > $o ) > c > $o > $o ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__c_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    autore1973425259nres_c: ( c > refine440942639nres_c ) > c > refine440942639nres_c ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__c_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J,type,
    autore1981686764nres_d: ( c > refine449204144nres_d ) > c > refine449204144nres_d ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__c_001tf__c,type,
    autoref_APP_c_c: ( c > c ) > c > c ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__d_001_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J,type,
    autore1989911767nres_c: ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > d > ( d > refine440942639nres_c ) > refine440942639nres_c ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__d_001_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    autore48395543nres_d: ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > d > ( d > refine449204144nres_d ) > refine449204144nres_d ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__d_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    autore113191276nres_c: ( d > refine440942639nres_c ) > d > refine440942639nres_c ).

thf(sy_c_Autoref__Tagging_OAPP_001tf__d_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J,type,
    autore121452781nres_d: ( d > refine449204144nres_d ) > d > refine449204144nres_d ).

thf(sy_c_Autoref__Tagging_OOP_001_062_I_062_I_Eo_M_Eo_J_M_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_Mtf__c_J_J,type,
    autore971224502_o_c_c: ( ( $o > $o ) > ( ( $o > $o ) > c ) > c ) > ( $o > $o ) > ( ( $o > $o ) > c ) > c ).

thf(sy_c_Autoref__Tagging_OOP_001_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_J,type,
    autore1769540484_int_o: ( int > ( int > int > $o ) > int > $o ) > int > ( int > int > $o ) > int > $o ).

thf(sy_c_Autoref__Tagging_OOP_001_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_J,type,
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thf(sy_c_Autoref__Tagging_OOP_001_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J,type,
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thf(sy_c_Autoref__Tagging_OOP_001_062_Itf__c_M_062_I_062_Itf__c_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J_J,type,
    autore1861331824_o_o_o: ( c > ( c > $o > $o ) > $o > $o ) > c > ( c > $o > $o ) > $o > $o ).

thf(sy_c_Autoref__Tagging_OOP_001_062_Itf__c_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
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thf(sy_c_Autoref__Tagging_OOP_001_062_Itf__c_M_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_J,type,
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thf(sy_c_Autoref__Tagging_OOP_001_062_Itf__d_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
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thf(sy_c_Autoref__Tagging_OOP_001_062_Itf__d_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
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thf(sy_c_Autoref__Tagging_Orel__annot_001_062_I_062_I_Eo_M_Eo_J_M_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__a_J_Mtf__a_J_J_001_062_I_062_I_Eo_M_Eo_J_M_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_Mtf__c_J_J,type,
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thf(sy_c_Autoref__Tagging_Orel__annot_001_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_J_001_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_J,type,
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thf(sy_c_Autoref__Tagging_Orel__annot_001_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_J_001_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_J,type,
    autore1079756534nt_o_o: set_Pr1524520971nt_o_o > autoref_annot ).

thf(sy_c_Autoref__Tagging_Orel__annot_001_062_Itf__a_M_062_I_062_Itf__a_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J_J_001_062_Itf__c_M_062_I_062_Itf__c_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J_J,type,
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thf(sy_c_Autoref__Tagging_Orel__annot_001_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_001_062_Itf__c_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
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thf(sy_c_Autoref__Tagging_Orel__annot_001_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J,type,
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thf(sy_c_Autoref__Tagging_Orel__annot_001_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_Itf__c_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    autore349294361nres_d: set_Pr2080238504nres_d > autoref_annot ).

thf(sy_c_Autoref__Tagging_Orel__annot_001_062_Itf__a_M_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_J_001_062_Itf__c_M_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_J,type,
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thf(sy_c_Autoref__Tagging_Orel__annot_001_062_Itf__b_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_001_062_Itf__d_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
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thf(sy_c_Autoref__Tagging_Orel__annot_001_062_Itf__b_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_Itf__d_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
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thf(sy_c_Autoref__Translate_OREMOVE__INTERNAL_001_Eo,type,
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thf(sy_c_Autoref__Translate_OREMOVE__INTERNAL__EQ_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J,type,
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thf(sy_c_Autoref__Translate_OREMOVE__INTERNAL__EQ_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J,type,
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thf(sy_c_Autoref__Translate_OREMOVE__INTERNAL__EQ_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J,type,
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thf(sy_c_Autoref__Translate_OREMOVE__INTERNAL__EQ_001_062_I_Eo_M_062_I_Eo_M_Eo_J_J,type,
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thf(sy_c_Autoref__Translate_OREMOVE__INTERNAL__EQ_001_062_I_Eo_M_Eo_J,type,
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thf(sy_c_Autoref__Translate_OREMOVE__INTERNAL__EQ_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J,type,
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thf(sy_c_Autoref__Translate_OREMOVE__INTERNAL__EQ_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
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thf(sy_c_Autoref__Translate_OREMOVE__INTERNAL__EQ_001_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J,type,
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thf(sy_c_Autoref__Translate_OREMOVE__INTERNAL__EQ_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J,type,
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thf(sy_c_Autoref__Translate_OREMOVE__INTERNAL__EQ_001tf__a,type,
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thf(sy_c_Fun_Oid_001_Eo,type,
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thf(sy_c_List_Oall__interval__nat,type,
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thf(sy_c_Orderings_Oord__class_Oless_001t__Int__Oint,type,
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thf(sy_c_Orderings_Oord__class_Oless_001t__Nat__Onat,type,
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thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Int__Oint,type,
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thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Nat__Onat,type,
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thf(sy_c_Product__Type_OPair_001_062_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_062_I_Eo_M_Eo_J_J_J_001_062_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_062_I_Eo_M_Eo_J_J_J,type,
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thf(sy_c_Product__Type_OPair_001_062_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_Eo_J_J_001_062_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_Eo_J_J,type,
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thf(sy_c_Product__Type_OPair_001_062_I_062_I_Eo_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_001_062_I_062_I_Eo_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J,type,
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thf(sy_c_Product__Type_OPair_001_062_I_062_I_Eo_M_Eo_J_Mtf__a_J_001_062_I_062_I_Eo_M_Eo_J_Mtf__c_J,type,
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thf(sy_c_Product__Type_OPair_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J,type,
    produc1714464775_nat_o: ( ( nat > $o ) > ( ( nat > $o ) > nat > nat > $o ) > nat > nat > $o ) > ( ( nat > $o ) > ( ( nat > $o ) > nat > nat > $o ) > nat > nat > $o ) > produc416848975_nat_o ).

thf(sy_c_Product__Type_OPair_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J,type,
    produc1206080049_nat_o: ( ( nat > $o ) > nat > nat > $o ) > ( ( nat > $o ) > nat > nat > $o ) > produc1314004473_nat_o ).

thf(sy_c_Product__Type_OPair_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_M_062_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    produc1910095910nres_d: ( ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ) > ( ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ) > produc809931564nres_d ).

thf(sy_c_Product__Type_OPair_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    produc2075136412nres_d: ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc1757587562nres_d ).

thf(sy_c_Product__Type_OPair_001_062_I_Eo_M_062_I_Eo_M_Eo_J_J_001_062_I_Eo_M_062_I_Eo_M_Eo_J_J,type,
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thf(sy_c_Product__Type_OPair_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J,type,
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thf(sy_c_Product__Type_OPair_001_062_I_Eo_Mt__Int__Oint_J_001_062_I_Eo_Mt__Int__Oint_J,type,
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thf(sy_c_Product__Type_OPair_001_062_I_Eo_Mt__Nat__Onat_J_001_062_I_Eo_Mt__Nat__Onat_J,type,
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thf(sy_c_Product__Type_OPair_001_062_I_Eo_Mtf__a_J_001_062_I_Eo_Mtf__c_J,type,
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thf(sy_c_Product__Type_OPair_001_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_J_001_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_J,type,
    produc604705507_int_o: ( int > ( int > int > $o ) > int > $o ) > ( int > ( int > int > $o ) > int > $o ) > produc1616993579_int_o ).

thf(sy_c_Product__Type_OPair_001_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_J_001_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_J,type,
    produc2111111011nt_o_o: ( int > ( int > $o ) > $o ) > ( int > ( int > $o ) > $o ) > produc496448427nt_o_o ).

thf(sy_c_Product__Type_OPair_001_062_It__Int__Oint_M_062_I_Eo_M_Eo_J_J_001_062_It__Int__Oint_M_062_I_Eo_M_Eo_J_J,type,
    produc1684950905nt_o_o: ( int > $o > $o ) > ( int > $o > $o ) > produc426758977nt_o_o ).

thf(sy_c_Product__Type_OPair_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J,type,
    produc1217921175_int_o: ( int > int > $o ) > ( int > int > $o ) > produc480790439_int_o ).

thf(sy_c_Product__Type_OPair_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J,type,
    produc2007676503_int_o: ( int > $o ) > ( int > $o ) > produc1620501479_int_o ).

thf(sy_c_Product__Type_OPair_001_062_It__Int__Oint_Mt__Int__Oint_J_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
    produc422161031nt_int: ( int > int ) > ( int > int ) > produc719214799nt_int ).

thf(sy_c_Product__Type_OPair_001_062_It__Int__Oint_Mt__Nat__Onat_J_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
    produc1419879375nt_nat: ( int > nat ) > ( int > nat ) > produc1389674519nt_nat ).

thf(sy_c_Product__Type_OPair_001_062_It__Int__Oint_Mtf__a_J_001_062_It__Int__Oint_Mtf__c_J,type,
    produc255636953_int_c: ( int > a ) > ( int > c ) > produc1769036905_int_c ).

thf(sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_I_Eo_M_Eo_J_J_001_062_It__Nat__Onat_M_062_I_Eo_M_Eo_J_J,type,
    produc1951588545at_o_o: ( nat > $o > $o ) > ( nat > $o > $o ) > produc482595465at_o_o ).

thf(sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
    produc1593059991_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > produc724473255_nat_o ).

thf(sy_c_Product__Type_OPair_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J,type,
    produc1218908503_nat_o: ( nat > $o ) > ( nat > $o ) > produc878596327_nat_o ).

thf(sy_c_Product__Type_OPair_001_062_It__Nat__Onat_Mt__Int__Oint_J_001_062_It__Nat__Onat_Mt__Int__Oint_J,type,
    produc1930602447at_int: ( nat > int ) > ( nat > int ) > produc610583575at_int ).

thf(sy_c_Product__Type_OPair_001_062_It__Nat__Onat_Mt__Nat__Onat_J_001_062_It__Nat__Onat_Mt__Nat__Onat_J,type,
    produc780837143at_nat: ( nat > nat ) > ( nat > nat ) > produc1281043295at_nat ).

thf(sy_c_Product__Type_OPair_001_062_It__Nat__Onat_Mtf__a_J_001_062_It__Nat__Onat_Mtf__c_J,type,
    produc1067187929_nat_c: ( nat > a ) > ( nat > c ) > produc1144174441_nat_c ).

thf(sy_c_Product__Type_OPair_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_M_062_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    produc973126316nres_d: ( refine1696877731nres_b > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ) > ( refine116648739nres_d > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ) > produc1834705330nres_d ).

thf(sy_c_Product__Type_OPair_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_J_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J,type,
    produc912866704nres_d: ( refine424419629nres_a > ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine440942639nres_c > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc819780758nres_d ).

thf(sy_c_Product__Type_OPair_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
    produc2073916516nres_c: ( refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ) > ( refine440942639nres_c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > produc1581500522nres_c ).

thf(sy_c_Product__Type_OPair_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J,type,
    produc1992182244nres_b: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > produc1530265066nres_b ).

thf(sy_c_Product__Type_OPair_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J,type,
    produc1066811108nres_a: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ) > produc1298363114nres_a ).

thf(sy_c_Product__Type_OPair_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    produc1576596708nres_d: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc2043357418nres_d ).

thf(sy_c_Product__Type_OPair_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
    produc651225572nres_c: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine449204144nres_d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > produc1811455466nres_c ).

thf(sy_c_Product__Type_OPair_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
    produc385572580nres_c: ( refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ) > ( refine449204144nres_d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > produc1545802474nres_c ).

thf(sy_c_Product__Type_OPair_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    produc2035736420nres_d: ( refine432681134nres_b > ( b > refine432681134nres_b ) > refine432681134nres_b ) > ( refine449204144nres_d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > produc2007659370nres_d ).

thf(sy_c_Product__Type_OPair_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J,type,
    produc183923940nres_b: ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > produc1869490410nres_b ).

thf(sy_c_Product__Type_OPair_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    produc1915822052nres_d: ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc235099114nres_d ).

thf(sy_c_Product__Type_OPair_001_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_001_062_Itf__c_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
    produc1824358636nres_c: ( a > ( a > refine424419629nres_a ) > refine424419629nres_a ) > ( c > ( c > refine440942639nres_c ) > refine440942639nres_c ) > produc1914459634nres_c ).

thf(sy_c_Product__Type_OPair_001_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J,type,
    produc295171948nres_b: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > produc96971890nres_b ).

thf(sy_c_Product__Type_OPair_001_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_Itf__c_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    produc627868012nres_d: ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc1677145714nres_d ).

thf(sy_c_Product__Type_OPair_001_062_Itf__a_M_062_I_Eo_M_Eo_J_J_001_062_Itf__c_M_062_I_Eo_M_Eo_J_J,type,
    produc1393542937_c_o_o: ( a > $o > $o ) > ( c > $o > $o ) > produc1838469673_c_o_o ).

thf(sy_c_Product__Type_OPair_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J,type,
    produc278407104nres_a: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > produc699795910nres_a ).

thf(sy_c_Product__Type_OPair_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J,type,
    produc1827604032nres_c: ( a > refine424419629nres_a ) > ( c > refine440942639nres_c ) > produc1267050566nres_c ).

thf(sy_c_Product__Type_OPair_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J,type,
    produc809128386nres_b: ( a > refine432681134nres_b ) > ( a > refine432681134nres_b ) > produc1536607048nres_b ).

thf(sy_c_Product__Type_OPair_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    produc210841666nres_d: ( a > refine432681134nres_b ) > ( c > refine449204144nres_d ) > produc2103861704nres_d ).

thf(sy_c_Product__Type_OPair_001_062_Itf__a_Mtf__a_J_001_062_Itf__c_Mtf__c_J,type,
    product_Pair_a_a_c_c: ( a > a ) > ( c > c ) > product_prod_a_a_c_c ).

thf(sy_c_Product__Type_OPair_001_062_Itf__b_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_001_062_Itf__d_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
    produc1961734380nres_c: ( b > ( b > refine424419629nres_a ) > refine424419629nres_a ) > ( d > ( d > refine440942639nres_c ) > refine440942639nres_c ) > produc1716397554nres_c ).

thf(sy_c_Product__Type_OPair_001_062_Itf__b_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_Itf__d_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    produc765243756nres_d: ( b > ( b > refine432681134nres_b ) > refine432681134nres_b ) > ( d > ( d > refine449204144nres_d ) > refine449204144nres_d ) > produc1479083634nres_d ).

thf(sy_c_Product__Type_OPair_001_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J,type,
    produc316577664nres_c: ( b > refine424419629nres_a ) > ( d > refine440942639nres_c ) > produc1106446854nres_c ).

thf(sy_c_Product__Type_OPair_001_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J,type,
    produc1445585666nres_b: ( b > refine432681134nres_b ) > ( b > refine432681134nres_b ) > produc1376003336nres_b ).

thf(sy_c_Product__Type_OPair_001_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    produc847298946nres_d: ( b > refine432681134nres_b ) > ( d > refine449204144nres_d ) > produc1943257992nres_d ).

thf(sy_c_Product__Type_OPair_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J,type,
    produc1063567300nres_a: ( c > refine440942639nres_c ) > ( a > refine424419629nres_a ) > produc1484956106nres_a ).

thf(sy_c_Product__Type_OPair_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J,type,
    produc465280580nres_c: ( c > refine440942639nres_c ) > ( c > refine440942639nres_c ) > produc2052210762nres_c ).

thf(sy_c_Product__Type_OPair_001_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J,type,
    produc83262214nres_b: ( d > refine449204144nres_d ) > ( b > refine432681134nres_b ) > produc13679884nres_b ).

thf(sy_c_Product__Type_OPair_001_Eo_001_Eo,type,
    product_Pair_o_o: $o > $o > product_prod_o_o ).

thf(sy_c_Product__Type_OPair_001t__Int__Oint_001t__Int__Oint,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

thf(sy_c_Product__Type_OPair_001t__Nat__Onat_001t__Nat__Onat,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(sy_c_Product__Type_OPair_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J,type,
    produc1136923598nres_a: refine424419629nres_a > refine424419629nres_a > produc1609974940nres_a ).

thf(sy_c_Product__Type_OPair_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    produc1153446608nres_c: refine424419629nres_a > refine440942639nres_c > produc1741619870nres_c ).

thf(sy_c_Product__Type_OPair_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J,type,
    produc2130641934nres_b: refine432681134nres_b > refine432681134nres_b > produc1587512412nres_b ).

thf(sy_c_Product__Type_OPair_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J,type,
    produc2147164944nres_d: refine432681134nres_b > refine449204144nres_d > produc1719157342nres_d ).

thf(sy_c_Product__Type_OPair_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J,type,
    produc960353612nres_a: refine440942639nres_c > refine424419629nres_a > produc1433404954nres_a ).

thf(sy_c_Product__Type_OPair_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    produc976876622nres_c: refine440942639nres_c > refine440942639nres_c > produc1565049884nres_c ).

thf(sy_c_Product__Type_OPair_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J,type,
    produc1954071948nres_b: refine449204144nres_d > refine432681134nres_b > produc1410942426nres_b ).

thf(sy_c_Product__Type_OPair_001tf__a_001tf__a,type,
    product_Pair_a_a: a > a > product_prod_a_a ).

thf(sy_c_Product__Type_OPair_001tf__a_001tf__c,type,
    product_Pair_a_c: a > c > product_prod_a_c ).

thf(sy_c_Product__Type_OPair_001tf__b_001tf__d,type,
    product_Pair_b_d: b > d > product_prod_b_d ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_ORETURN_001tf__a,type,
    refine2063221604TURN_a: a > refine424419629nres_a ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_ORETURN_001tf__b,type,
    refine2063221605TURN_b: b > refine432681134nres_b ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_ORETURN_001tf__c,type,
    refine2063221606TURN_c: c > refine440942639nres_c ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_ORETURN_001tf__d,type,
    refine2063221607TURN_d: d > refine449204144nres_d ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001tf__b,type,
    refine1985319227es_b_b: refine1696877731nres_b > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001tf__d,type,
    refine1129534141es_d_d: refine116648739nres_d > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001tf__a_001tf__a,type,
    refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001tf__a_001tf__b,type,
    refine436832839nd_a_b: refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001tf__b_001tf__a,type,
    refine1264602245nd_b_a: refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001tf__b_001tf__b,type,
    refine1264602246nd_b_b: refine432681134nres_b > ( b > refine432681134nres_b ) > refine432681134nres_b ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001tf__c_001tf__c,type,
    refine2092371654nd_c_c: refine440942639nres_c > ( c > refine440942639nres_c ) > refine440942639nres_c ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001tf__c_001tf__d,type,
    refine2092371655nd_c_d: refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001tf__d_001tf__c,type,
    refine772657413nd_d_c: refine449204144nres_d > ( d > refine440942639nres_c ) > refine440942639nres_c ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Obind_001tf__d_001tf__d,type,
    refine772657414nd_d_d: refine449204144nres_d > ( d > refine449204144nres_d ) > refine449204144nres_d ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Olift__assn_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J,type,
    refine230301243_nat_o: set_Pr766923865_nat_o > ( ( ( nat > $o ) > nat > nat > $o ) > $o ) > ( ( nat > $o ) > nat > nat > $o ) > $o ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Olift__assn_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_M_062_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    refine1711024813nres_d: set_Pr613277282nres_d > ( ( ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ) > $o ) > ( ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b ) > $o ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Olift__assn_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    refine1958703523nres_d: set_Pr797615136nres_d > ( ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Olift__assn_001_062_I_Eo_M_062_I_Eo_M_Eo_J_J_001_062_I_Eo_M_062_I_Eo_M_Eo_J_J,type,
    refine666274337_o_o_o: set_Pr618353415_o_o_o > ( ( $o > $o > $o ) > $o ) > ( $o > $o > $o ) > $o ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Olift__assn_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J,type,
    refine1725652845_o_o_o: set_Pr934623755_o_o_o > ( ( $o > $o ) > $o ) > ( $o > $o ) > $o ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Olift__assn_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J,type,
    refine1840159649_int_o: set_Pr1320171143_int_o > ( ( int > int > $o ) > $o ) > ( int > int > $o ) > $o ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Olift__assn_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
    refine67814817_nat_o: set_Pr1659864199_nat_o > ( ( nat > nat > $o ) > $o ) > ( nat > nat > $o ) > $o ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Olift__assn_001_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_Itf__c_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    refine408412177nres_d: set_Pr2080238504nres_d > ( ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o ) > ( a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > $o ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Olift__assn_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    refine746536475nres_d: set_Pr589481214nres_d > ( ( c > refine449204144nres_d ) > $o ) > ( a > refine432681134nres_b ) > $o ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Olift__assn_001tf__a_001tf__c,type,
    refine321891363sn_a_c: set_Product_prod_a_c > ( c > $o ) > a > $o ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres__rel_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    refine1535302424nres_d: set_Pr589481214nres_d > set_Pr1537816964nres_d ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres__rel_001tf__a_001tf__a,type,
    refine737062558el_a_a: set_Product_prod_a_a > set_Pr384614482nres_a ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres__rel_001tf__a_001tf__b,type,
    refine737062559el_a_b: set_Product_prod_a_b > set_Pr1830268627nres_b ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres__rel_001tf__a_001tf__c,type,
    refine737062560el_a_c: set_Product_prod_a_c > set_Pr1128439124nres_c ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres__rel_001tf__a_001tf__d,type,
    refine737062561el_a_d: set_Product_prod_a_d > set_Pr426609621nres_d ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres__rel_001tf__b_001tf__a,type,
    refine1564831965el_b_a: set_Product_prod_b_a > set_Pr1598501265nres_a ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres__rel_001tf__b_001tf__b,type,
    refine1564831966el_b_b: set_Product_prod_b_b > set_Pr896671762nres_b ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres__rel_001tf__b_001tf__c,type,
    refine1564831967el_b_c: set_Product_prod_b_c > set_Pr194842259nres_c ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres__rel_001tf__b_001tf__d,type,
    refine1564831968el_b_d: set_Product_prod_b_d > set_Pr1640496404nres_d ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres__rel_001tf__c_001tf__a,type,
    refine245117724el_c_a: set_Product_prod_c_a > set_Pr664904400nres_a ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres__rel_001tf__c_001tf__c,type,
    refine245117726el_c_c: set_Product_prod_c_c > set_Pr1408729042nres_c ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres__rel_001tf__d_001tf__b,type,
    refine1072887132el_d_b: set_Product_prod_d_b > set_Pr1176961680nres_b ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Onres__rel_001tf__d_001tf__d,type,
    refine1072887134el_d_d: set_Product_prod_d_d > set_Pr1920786322nres_d ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oop__nres__ASSERT__bnd_001tf__a,type,
    refine1437029927_bnd_a: $o > refine424419629nres_a > refine424419629nres_a ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oop__nres__ASSERT__bnd_001tf__b,type,
    refine1437029928_bnd_b: $o > refine432681134nres_b > refine432681134nres_b ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oop__nres__ASSERT__bnd_001tf__c,type,
    refine1437029929_bnd_c: $o > refine440942639nres_c > refine440942639nres_c ).

thf(sy_c_Refine__Basic__Mirabelle__kwjuvthmas_Oop__nres__ASSERT__bnd_001tf__d,type,
    refine1437029930_bnd_d: $o > refine449204144nres_d > refine449204144nres_d ).

thf(sy_c_Refine__Misc_Oless__than__bool,type,
    refine1361002633n_bool: set_Product_prod_o_o ).

thf(sy_c_Relation_OId_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J,type,
    id_nat_o_nat_nat_o: set_Pr766923865_nat_o ).

thf(sy_c_Relation_OId_001_062_I_Eo_M_062_I_Eo_M_Eo_J_J,type,
    id_o_o_o: set_Pr618353415_o_o_o ).

thf(sy_c_Relation_OId_001_062_I_Eo_M_Eo_J,type,
    id_o_o: set_Pr934623755_o_o_o ).

thf(sy_c_Relation_OId_001_062_I_Eo_Mt__Int__Oint_J,type,
    id_o_int: set_Pr1437791047_o_int ).

thf(sy_c_Relation_OId_001_062_I_Eo_Mt__Nat__Onat_J,type,
    id_o_nat: set_Pr343524935_o_nat ).

thf(sy_c_Relation_OId_001_062_It__Int__Oint_M_062_I_Eo_M_Eo_J_J,type,
    id_int_o_o: set_Pr1006121889nt_o_o ).

thf(sy_c_Relation_OId_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J,type,
    id_int_int_o: set_Pr1320171143_int_o ).

thf(sy_c_Relation_OId_001_062_It__Int__Oint_M_Eo_J,type,
    id_int_o: set_Pr94755271_int_o ).

thf(sy_c_Relation_OId_001_062_It__Int__Oint_Mt__Int__Oint_J,type,
    id_int_int: set_Pr2110946351nt_int ).

thf(sy_c_Relation_OId_001_062_It__Int__Oint_Mt__Nat__Onat_J,type,
    id_int_nat: set_Pr1719254903nt_nat ).

thf(sy_c_Relation_OId_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
    id_nat_nat_o: set_Pr1659864199_nat_o ).

thf(sy_c_Relation_OId_001_062_It__Nat__Onat_M_Eo_J,type,
    id_nat_o: set_Pr310822599_nat_o ).

thf(sy_c_Relation_OId_001_062_It__Nat__Onat_Mt__Int__Oint_J,type,
    id_nat_int: set_Pr1749533559at_int ).

thf(sy_c_Relation_OId_001_062_It__Nat__Onat_Mt__Nat__Onat_J,type,
    id_nat_nat: set_Pr1357842111at_nat ).

thf(sy_c_Relation_OId_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J,type,
    id_a_R351071993nres_b: set_Pr1815766654nres_b ).

thf(sy_c_Relation_OId_001_Eo,type,
    id_o2: set_Product_prod_o_o ).

thf(sy_c_Relation_OId_001t__Int__Oint,type,
    id_int: set_Pr1858794777nt_int ).

thf(sy_c_Relation_OId_001t__Nat__Onat,type,
    id_nat: set_Pr1986765409at_nat ).

thf(sy_c_Relation_OId_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J,type,
    id_Ref1256934482nres_b: set_Pr896671762nres_b ).

thf(sy_c_Relation_OId_001tf__a,type,
    id_a: set_Product_prod_a_a ).

thf(sy_c_Relators_Ofun__rel_001_062_I_062_I_Eo_M_Eo_J_Mtf__a_J_001_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_001tf__a_001tf__c,type,
    fun_re1859931662_c_a_c: set_Pr1955643401_o_o_c > set_Product_prod_a_c > set_Pr46530663_o_c_c ).

thf(sy_c_Relators_Ofun__rel_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
    fun_re1934003492_nat_o: set_Pr766923865_nat_o > set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ).

thf(sy_c_Relators_Ofun__rel_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J,type,
    fun_re2071856555nres_d: set_Pr797615136nres_d > set_Pr1640496404nres_d > set_Pr1824526846nres_d ).

thf(sy_c_Relators_Ofun__rel_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__a_J_Mtf__a_J_001_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_Mtf__c_J,type,
    fun_re1144975870_o_c_c: set_Pr934623755_o_o_o > set_Pr46530663_o_c_c > set_Pr37069423_o_c_c ).

thf(sy_c_Relators_Ofun__rel_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_062_I_Eo_M_Eo_J_J_001_062_I_Eo_M_062_I_Eo_M_Eo_J_J,type,
    fun_re2101272022_o_o_o: set_Pr934623755_o_o_o > set_Pr618353415_o_o_o > set_Pr68707591_o_o_o ).

thf(sy_c_Relators_Ofun__rel_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J,type,
    fun_re682130338_o_o_o: set_Pr934623755_o_o_o > set_Pr934623755_o_o_o > set_Pr2088790547_o_o_o ).

thf(sy_c_Relators_Ofun__rel_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
    fun_re1012178006_nat_o: set_Pr934623755_o_o_o > set_Pr1659864199_nat_o > set_Pr524661639_nat_o ).

thf(sy_c_Relators_Ofun__rel_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001tf__a_001tf__c,type,
    fun_rel_o_o_o_o_a_c: set_Pr934623755_o_o_o > set_Product_prod_a_c > set_Pr1955643401_o_o_c ).

thf(sy_c_Relators_Ofun__rel_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J,type,
    fun_re22412234_int_o: set_Pr1320171143_int_o > set_Pr94755271_int_o > set_Pr1435428853_int_o ).

thf(sy_c_Relators_Ofun__rel_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J_001_Eo_001_Eo,type,
    fun_re667116106_o_o_o: set_Pr94755271_int_o > set_Product_prod_o_o > set_Pr1495585653nt_o_o ).

thf(sy_c_Relators_Ofun__rel_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J_001_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_001_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J,type,
    fun_re215849226_nat_o: set_Pr310822599_nat_o > set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ).

thf(sy_c_Relators_Ofun__rel_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J,type,
    fun_re881041610_nat_o: set_Pr310822599_nat_o > set_Pr1659864199_nat_o > set_Pr766923865_nat_o ).

thf(sy_c_Relators_Ofun__rel_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    fun_re692194867nres_d: set_Pr24800800nres_d > set_Pr797615136nres_d > set_Pr1712866168nres_d ).

thf(sy_c_Relators_Ofun__rel_001_062_Itf__a_M_062_I_Eo_M_Eo_J_J_001_062_Itf__c_M_062_I_Eo_M_Eo_J_J_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J,type,
    fun_re2021699288_o_o_o: set_Pr1933985801_c_o_o > set_Pr934623755_o_o_o > set_Pr1371175689_o_o_o ).

thf(sy_c_Relators_Ofun__rel_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    fun_re1877185935nres_c: set_Pr134917244nres_c > set_Pr1128439124nres_c > set_Pr404050976nres_c ).

thf(sy_c_Relators_Ofun__rel_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J,type,
    fun_re1579405647nres_b: set_Pr1815766654nres_b > set_Pr896671762nres_b > set_Pr1052763806nres_b ).

thf(sy_c_Relators_Ofun__rel_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J,type,
    fun_re1140323340nres_a: set_Pr1635457468nres_a > set_Pr1598501265nres_a > set_Pr436741343nres_a ).

thf(sy_c_Relators_Ofun__rel_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    fun_re1306413669nres_d: set_Pr589481214nres_d > set_Pr1824526846nres_d > set_Pr613277282nres_d ).

thf(sy_c_Relators_Ofun__rel_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J,type,
    fun_re1394577105nres_d: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(sy_c_Relators_Ofun__rel_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    fun_re955494798nres_c: set_Pr409172028nres_c > set_Pr194842259nres_c > set_Pr181592673nres_c ).

thf(sy_c_Relators_Ofun__rel_001_062_Itf__a_Mtf__a_J_001_062_Itf__c_Mtf__c_J_001tf__a_001tf__c,type,
    fun_rel_a_a_c_c_a_c: set_Pr1234209675_a_c_c > set_Product_prod_a_c > set_Pr1673989513_c_c_c ).

thf(sy_c_Relators_Ofun__rel_001_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    fun_re1366722255nres_c: set_Pr979578428nres_c > set_Pr1128439124nres_c > set_Pr57594146nres_c ).

thf(sy_c_Relators_Ofun__rel_001_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J,type,
    fun_re884113425nres_d: set_Pr1434142398nres_d > set_Pr1640496404nres_d > set_Pr451158306nres_d ).

thf(sy_c_Relators_Ofun__rel_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J,type,
    fun_re1925572817nres_b: set_Pr1345535106nres_b > set_Pr1176961680nres_b > set_Pr1402127136nres_b ).

thf(sy_c_Relators_Ofun__rel_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J,type,
    fun_re1740744275nres_d: set_Pr119249666nres_d > set_Pr1920786322nres_d > set_Pr1146978466nres_d ).

thf(sy_c_Relators_Ofun__rel_001_Eo_001_Eo_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J,type,
    fun_rel_o_o_o_o_o_o: set_Product_prod_o_o > set_Pr934623755_o_o_o > set_Pr618353415_o_o_o ).

thf(sy_c_Relators_Ofun__rel_001_Eo_001_Eo_001_Eo_001_Eo,type,
    fun_rel_o_o_o_o: set_Product_prod_o_o > set_Product_prod_o_o > set_Pr934623755_o_o_o ).

thf(sy_c_Relators_Ofun__rel_001_Eo_001_Eo_001t__Int__Oint_001t__Int__Oint,type,
    fun_rel_o_o_int_int: set_Product_prod_o_o > set_Pr1858794777nt_int > set_Pr1437791047_o_int ).

thf(sy_c_Relators_Ofun__rel_001_Eo_001_Eo_001t__Nat__Onat_001t__Nat__Onat,type,
    fun_rel_o_o_nat_nat: set_Product_prod_o_o > set_Pr1986765409at_nat > set_Pr343524935_o_nat ).

thf(sy_c_Relators_Ofun__rel_001_Eo_001_Eo_001tf__a_001tf__c,type,
    fun_rel_o_o_a_c: set_Product_prod_o_o > set_Product_prod_a_c > set_Pr709440729_a_o_c ).

thf(sy_c_Relators_Ofun__rel_001t__Int__Oint_001t__Int__Oint_001_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_001_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J,type,
    fun_re2036221850_int_o: set_Pr1858794777nt_int > set_Pr1435428853_int_o > set_Pr1351316363_int_o ).

thf(sy_c_Relators_Ofun__rel_001t__Int__Oint_001t__Int__Oint_001_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_001_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J,type,
    fun_re442767642nt_o_o: set_Pr1858794777nt_int > set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ).

thf(sy_c_Relators_Ofun__rel_001t__Int__Oint_001t__Int__Oint_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J,type,
    fun_re464413488_o_o_o: set_Pr1858794777nt_int > set_Pr934623755_o_o_o > set_Pr1006121889nt_o_o ).

thf(sy_c_Relators_Ofun__rel_001t__Int__Oint_001t__Int__Oint_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J,type,
    fun_re986858916_int_o: set_Pr1858794777nt_int > set_Pr94755271_int_o > set_Pr1320171143_int_o ).

thf(sy_c_Relators_Ofun__rel_001t__Int__Oint_001t__Int__Oint_001_Eo_001_Eo,type,
    fun_rel_int_int_o_o: set_Pr1858794777nt_int > set_Product_prod_o_o > set_Pr94755271_int_o ).

thf(sy_c_Relators_Ofun__rel_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint_001t__Int__Oint,type,
    fun_re202574526nt_int: set_Pr1858794777nt_int > set_Pr1858794777nt_int > set_Pr2110946351nt_int ).

thf(sy_c_Relators_Ofun__rel_001t__Int__Oint_001t__Int__Oint_001t__Nat__Onat_001t__Nat__Onat,type,
    fun_re1799515654at_nat: set_Pr1858794777nt_int > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ).

thf(sy_c_Relators_Ofun__rel_001t__Int__Oint_001t__Int__Oint_001tf__a_001tf__c,type,
    fun_rel_int_int_a_c: set_Pr1858794777nt_int > set_Product_prod_a_c > set_Pr1575377993_int_c ).

thf(sy_c_Relators_Ofun__rel_001t__Nat__Onat_001t__Nat__Onat_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J,type,
    fun_re1521677944_o_o_o: set_Pr1986765409at_nat > set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ).

thf(sy_c_Relators_Ofun__rel_001t__Nat__Onat_001t__Nat__Onat_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J,type,
    fun_re1770844140_nat_o: set_Pr1986765409at_nat > set_Pr310822599_nat_o > set_Pr1659864199_nat_o ).

thf(sy_c_Relators_Ofun__rel_001t__Nat__Onat_001t__Nat__Onat_001_Eo_001_Eo,type,
    fun_rel_nat_nat_o_o: set_Pr1986765409at_nat > set_Product_prod_o_o > set_Pr310822599_nat_o ).

thf(sy_c_Relators_Ofun__rel_001t__Nat__Onat_001t__Nat__Onat_001t__Int__Oint_001t__Int__Oint,type,
    fun_re1088433670nt_int: set_Pr1986765409at_nat > set_Pr1858794777nt_int > set_Pr1749533559at_int ).

thf(sy_c_Relators_Ofun__rel_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat_001t__Nat__Onat,type,
    fun_re537891150at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1357842111at_nat ).

thf(sy_c_Relators_Ofun__rel_001t__Nat__Onat_001t__Nat__Onat_001tf__a_001tf__c,type,
    fun_rel_nat_nat_a_c: set_Pr1986765409at_nat > set_Product_prod_a_c > set_Pr933902153_nat_c ).

thf(sy_c_Relators_Ofun__rel_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_001_062_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    fun_re1732033515nres_d: set_Pr1537816964nres_d > set_Pr1824526846nres_d > set_Pr1710101992nres_d ).

thf(sy_c_Relators_Ofun__rel_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J,type,
    fun_re2045802267nres_b: set_Pr384614482nres_a > set_Pr1052763806nres_b > set_Pr818594592nres_b ).

thf(sy_c_Relators_Ofun__rel_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J,type,
    fun_re1904331357nres_a: set_Pr1830268627nres_b > set_Pr436741343nres_a > set_Pr2039330848nres_a ).

thf(sy_c_Relators_Ofun__rel_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_001_062_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    fun_re1190106143nres_d: set_Pr1128439124nres_c > set_Pr1712866168nres_d > set_Pr1614046668nres_d ).

thf(sy_c_Relators_Ofun__rel_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J,type,
    fun_re1915547295nres_c: set_Pr1128439124nres_c > set_Pr404050976nres_c > set_Pr882593184nres_c ).

thf(sy_c_Relators_Ofun__rel_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    fun_re439246495nres_d: set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(sy_c_Relators_Ofun__rel_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J,type,
    fun_re297775585nres_c: set_Pr426609621nres_d > set_Pr181592673nres_c > set_Pr1245537056nres_c ).

thf(sy_c_Relators_Ofun__rel_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_001_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J,type,
    fun_re816936095nres_c: set_Pr1640496404nres_d > set_Pr57594146nres_c > set_Pr1652381728nres_c ).

thf(sy_c_Relators_Ofun__rel_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_001_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    fun_re1488118943nres_d: set_Pr1640496404nres_d > set_Pr451158306nres_d > set_Pr794589344nres_d ).

thf(sy_c_Relators_Ofun__rel_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J,type,
    fun_re650017687nres_b: set_Pr664904400nres_a > set_Pr1402127136nres_b > set_Pr1436380704nres_b ).

thf(sy_c_Relators_Ofun__rel_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    fun_re1190945563nres_d: set_Pr1408729042nres_c > set_Pr1146978466nres_d > set_Pr642586912nres_d ).

thf(sy_c_Relators_Ofun__rel_001tf__a_001tf__a_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J,type,
    fun_re1165441639nres_b: set_Product_prod_a_a > set_Pr1052763806nres_b > set_Pr1358127528nres_b ).

thf(sy_c_Relators_Ofun__rel_001tf__a_001tf__a_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J,type,
    fun_re843975451nres_a: set_Product_prod_a_a > set_Pr384614482nres_a > set_Pr1361202684nres_a ).

thf(sy_c_Relators_Ofun__rel_001tf__a_001tf__a_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J,type,
    fun_re1837693787nres_b: set_Product_prod_a_a > set_Pr896671762nres_b > set_Pr1815766654nres_b ).

thf(sy_c_Relators_Ofun__rel_001tf__a_001tf__b_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J,type,
    fun_re708847385nres_a: set_Product_prod_a_b > set_Pr1598501265nres_a > set_Pr1635457468nres_a ).

thf(sy_c_Relators_Ofun__rel_001tf__a_001tf__c_001_062_I_062_Itf__a_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J_001_062_I_062_Itf__c_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J,type,
    fun_re362844942_o_o_o: set_Product_prod_a_c > set_Pr1371175689_o_o_o > set_Pr1774281699_o_o_o ).

thf(sy_c_Relators_Ofun__rel_001tf__a_001tf__c_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J,type,
    fun_re418666087nres_c: set_Product_prod_a_c > set_Pr404050976nres_c > set_Pr1250642728nres_c ).

thf(sy_c_Relators_Ofun__rel_001tf__a_001tf__c_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    fun_re1089848935nres_d: set_Product_prod_a_c > set_Pr797615136nres_d > set_Pr2080238504nres_d ).

thf(sy_c_Relators_Ofun__rel_001tf__a_001tf__c_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_001_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J,type,
    fun_re836380558_c_c_c: set_Product_prod_a_c > set_Pr1673989513_c_c_c > set_Pr807116335_c_c_c ).

thf(sy_c_Relators_Ofun__rel_001tf__a_001tf__c_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J,type,
    fun_rel_a_c_o_o_o_o: set_Product_prod_a_c > set_Pr934623755_o_o_o > set_Pr1933985801_c_o_o ).

thf(sy_c_Relators_Ofun__rel_001tf__a_001tf__c_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    fun_re766812315nres_c: set_Product_prod_a_c > set_Pr1128439124nres_c > set_Pr134917244nres_c ).

thf(sy_c_Relators_Ofun__rel_001tf__a_001tf__c_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J,type,
    fun_re1760530651nres_d: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ).

thf(sy_c_Relators_Ofun__rel_001tf__a_001tf__c_001tf__a_001tf__c,type,
    fun_rel_a_c_a_c: set_Product_prod_a_c > set_Product_prod_a_c > set_Pr1234209675_a_c_c ).

thf(sy_c_Relators_Ofun__rel_001tf__a_001tf__d_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    fun_re631684249nres_c: set_Product_prod_a_d > set_Pr194842259nres_c > set_Pr409172028nres_c ).

thf(sy_c_Relators_Ofun__rel_001tf__b_001tf__b_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J,type,
    fun_re132614427nres_b: set_Product_prod_b_b > set_Pr896671762nres_b > set_Pr512944190nres_b ).

thf(sy_c_Relators_Ofun__rel_001tf__b_001tf__d_001_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J,type,
    fun_re430551721nres_c: set_Product_prod_b_d > set_Pr57594146nres_c > set_Pr584391464nres_c ).

thf(sy_c_Relators_Ofun__rel_001tf__b_001tf__d_001_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    fun_re1101734569nres_d: set_Product_prod_b_d > set_Pr451158306nres_d > set_Pr1413987240nres_d ).

thf(sy_c_Relators_Ofun__rel_001tf__b_001tf__d_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    fun_re1209216603nres_c: set_Product_prod_b_d > set_Pr1128439124nres_c > set_Pr979578428nres_c ).

thf(sy_c_Relators_Ofun__rel_001tf__b_001tf__d_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J,type,
    fun_re55451291nres_d: set_Product_prod_b_d > set_Pr1640496404nres_d > set_Pr1434142398nres_d ).

thf(sy_c_Relators_Ofun__rel_001tf__c_001tf__a_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J,type,
    fun_re1645900187nres_a: set_Product_prod_c_a > set_Pr664904400nres_a > set_Pr890971136nres_a ).

thf(sy_c_Relators_Ofun__rel_001tf__c_001tf__a_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J,type,
    fun_re492134875nres_b: set_Product_prod_c_a > set_Pr1176961680nres_b > set_Pr1345535106nres_b ).

thf(sy_c_Relators_Ofun__rel_001tf__c_001tf__c_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J,type,
    fun_re1568737051nres_c: set_Product_prod_c_c > set_Pr1408729042nres_c > set_Pr1812169344nres_c ).

thf(sy_c_Relators_Ofun__rel_001tf__c_001tf__c_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J,type,
    fun_re414971739nres_d: set_Product_prod_c_c > set_Pr1920786322nres_d > set_Pr119249666nres_d ).

thf(sy_c_Relators_Ofun__rel_001tf__d_001tf__b_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J,type,
    fun_re934539163nres_b: set_Product_prod_d_b > set_Pr1176961680nres_b > set_Pr42712642nres_b ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__a_J_Mtf__a_J_001_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_Mtf__c_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_Eo_M_Eo_J_M_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__a_J_Mtf__a_J_J_M_062_I_062_I_Eo_M_Eo_J_M_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_Mtf__c_J_J_J_J,type,
    relAPP1562327022_o_c_c: ( set_Pr46530663_o_c_c > set_Pr37069423_o_c_c ) > set_Pr46530663_o_c_c > set_Pr37069423_o_c_c ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_001_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_M_062_I_062_It__Nat__Onat_M_Eo_J_M_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_J_J,type,
    relAPP1219475094_nat_o: ( set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ) > set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_M_062_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J,type,
    relAPP1388319497nres_d: ( set_Pr1824526846nres_d > set_Pr613277282nres_d ) > set_Pr1824526846nres_d > set_Pr613277282nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_M_062_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J,type,
    relAPP745136137nres_d: ( set_Pr1824526846nres_d > set_Pr1710101992nres_d ) > set_Pr1824526846nres_d > set_Pr1710101992nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_I_Eo_M_Eo_J_Mtf__a_J_001_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_001_062_It__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__c_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__a_J_Mtf__a_J_M_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_Mtf__c_J_J_J_J,type,
    relAPP412764446_o_c_c: ( set_Pr1955643401_o_o_c > set_Product_prod_a_c > set_Pr46530663_o_c_c ) > set_Pr1955643401_o_o_c > set_Product_prod_a_c > set_Pr46530663_o_c_c ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_001_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_J_M_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_J_J_J,type,
    relAPP1770679164_int_o: ( set_Pr1435428853_int_o > set_Pr1351316363_int_o ) > set_Pr1435428853_int_o > set_Pr1351316363_int_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_001_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_J_M_062_It__Int__Oint_M_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_J_J_J,type,
    relAPP92429436nt_o_o: ( set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ) > set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_001_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_J_J,type,
    relAPP1957341080_nat_o: ( set_Pr766923865_nat_o > set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ) > set_Pr766923865_nat_o > set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_J_M_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J_J,type,
    relAPP1095654971nres_d: ( set_Pr1712866168nres_d > set_Pr1614046668nres_d ) > set_Pr1712866168nres_d > set_Pr1614046668nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__a_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J_001_062_I_062_Itf__c_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_Itf__a_M_062_I_062_Itf__a_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J_J_M_062_Itf__c_M_062_I_062_Itf__c_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J_J_J_J,type,
    relAPP1723270664_o_o_o: ( set_Pr1371175689_o_o_o > set_Pr1774281699_o_o_o ) > set_Pr1371175689_o_o_o > set_Pr1774281699_o_o_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_M_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J_J_J,type,
    relAPP765626983nres_c: ( set_Pr404050976nres_c > set_Pr882593184nres_c ) > set_Pr404050976nres_c > set_Pr882593184nres_c ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_M_062_Itf__c_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J_J_J,type,
    relAPP998488211nres_c: ( set_Pr404050976nres_c > set_Pr1250642728nres_c ) > set_Pr404050976nres_c > set_Pr1250642728nres_c ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_J_J,type,
    relAPP869047273nres_b: ( set_Pr1052763806nres_b > set_Pr818594592nres_b ) > set_Pr1052763806nres_b > set_Pr818594592nres_b ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_J_J,type,
    relAPP91071253nres_b: ( set_Pr1052763806nres_b > set_Pr1358127528nres_b ) > set_Pr1052763806nres_b > set_Pr1358127528nres_b ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_J_J,type,
    relAPP1102334824nres_a: ( set_Pr436741343nres_a > set_Pr2039330848nres_a ) > set_Pr436741343nres_a > set_Pr2039330848nres_a ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J,type,
    relAPP1953591565nres_d: ( set_Pr797615136nres_d > set_Pr1640496404nres_d > set_Pr1824526846nres_d ) > set_Pr797615136nres_d > set_Pr1640496404nres_d > set_Pr1824526846nres_d ).

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    relAPP1659518317nres_d: ( set_Pr797615136nres_d > set_Pr1712866168nres_d ) > set_Pr797615136nres_d > set_Pr1712866168nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J,type,
    relAPP511982311nres_d: ( set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_Itf__c_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J,type,
    relAPP1354295571nres_d: ( set_Pr797615136nres_d > set_Pr2080238504nres_d ) > set_Pr797615136nres_d > set_Pr2080238504nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J_J_J,type,
    relAPP745269862nres_c: ( set_Pr181592673nres_c > set_Pr1245537056nres_c ) > set_Pr181592673nres_c > set_Pr1245537056nres_c ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_001_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_Itf__a_M_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_J_M_062_Itf__c_M_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_J_J_J,type,
    relAPP1804623572_c_c_c: ( set_Pr1673989513_c_c_c > set_Pr807116335_c_c_c ) > set_Pr1673989513_c_c_c > set_Pr807116335_c_c_c ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_M_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J_J_J,type,
    relAPP944912869nres_c: ( set_Pr57594146nres_c > set_Pr1652381728nres_c ) > set_Pr57594146nres_c > set_Pr1652381728nres_c ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_Itf__b_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_M_062_Itf__d_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J_J_J,type,
    relAPP131141393nres_c: ( set_Pr57594146nres_c > set_Pr584391464nres_c ) > set_Pr57594146nres_c > set_Pr584391464nres_c ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J,type,
    relAPP691268197nres_d: ( set_Pr451158306nres_d > set_Pr794589344nres_d ) > set_Pr451158306nres_d > set_Pr794589344nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_Itf__b_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_Itf__d_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J,type,
    relAPP486948753nres_d: ( set_Pr451158306nres_d > set_Pr1413987240nres_d ) > set_Pr451158306nres_d > set_Pr1413987240nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_M_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_J_J,type,
    relAPP1077394663nres_b: ( set_Pr1402127136nres_b > set_Pr1436380704nres_b ) > set_Pr1402127136nres_b > set_Pr1436380704nres_b ).

thf(sy_c_Relators_OrelAPP_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_M_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J,type,
    relAPP720329701nres_d: ( set_Pr1146978466nres_d > set_Pr642586912nres_d ) > set_Pr1146978466nres_d > set_Pr642586912nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_I_Eo_M_062_I_Eo_M_Eo_J_J_001_062_I_Eo_M_062_I_Eo_M_Eo_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_062_I_Eo_M_Eo_J_J_J_M_062_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_062_I_Eo_M_Eo_J_J_J_J_J,type,
    relAPP102288174_o_o_o: ( set_Pr618353415_o_o_o > set_Pr68707591_o_o_o ) > set_Pr618353415_o_o_o > set_Pr68707591_o_o_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001_062_It__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__a_J_Mtf__a_J_M_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_Mtf__c_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_Eo_M_Eo_J_M_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__a_J_Mtf__a_J_J_M_062_I_062_I_Eo_M_Eo_J_M_062_I_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_Mtf__c_J_J_J_J_J,type,
    relAPP2129980178_o_c_c: ( set_Pr934623755_o_o_o > set_Pr46530663_o_c_c > set_Pr37069423_o_c_c ) > set_Pr934623755_o_o_o > set_Pr46530663_o_c_c > set_Pr37069423_o_c_c ).

thf(sy_c_Relators_OrelAPP_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001_062_It__Set__Oset_It__Product____Type__Oprod_I_062_I_Eo_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_062_I_Eo_M_Eo_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_062_I_Eo_M_Eo_J_J_J_M_062_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_062_I_Eo_M_Eo_J_J_J_J_J_J,type,
    relAPP200810762_o_o_o: ( set_Pr934623755_o_o_o > set_Pr618353415_o_o_o > set_Pr68707591_o_o_o ) > set_Pr934623755_o_o_o > set_Pr618353415_o_o_o > set_Pr68707591_o_o_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001_062_It__Set__Oset_It__Product____Type__Oprod_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_Eo_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_Eo_J_J_M_062_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_Eo_J_J_J_J_J,type,
    relAPP704164370_o_o_o: ( set_Pr934623755_o_o_o > set_Pr934623755_o_o_o > set_Pr2088790547_o_o_o ) > set_Pr934623755_o_o_o > set_Pr934623755_o_o_o > set_Pr2088790547_o_o_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001_062_It__Set__Oset_It__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_Eo_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_I_062_I_Eo_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_J_J,type,
    relAPP845892106_nat_o: ( set_Pr934623755_o_o_o > set_Pr1659864199_nat_o > set_Pr524661639_nat_o ) > set_Pr934623755_o_o_o > set_Pr1659864199_nat_o > set_Pr524661639_nat_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001_062_It__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__c_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_Eo_M_Eo_J_Mtf__a_J_M_062_I_062_I_Eo_M_Eo_J_Mtf__c_J_J_J_J,type,
    relAPP1750172554_o_o_c: ( set_Pr934623755_o_o_o > set_Product_prod_a_c > set_Pr1955643401_o_o_c ) > set_Pr934623755_o_o_o > set_Product_prod_a_c > set_Pr1955643401_o_o_c ).

thf(sy_c_Relators_OrelAPP_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_Eo_J_J_M_062_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_Eo_J_J_J_J,type,
    relAPP1865476078_o_o_o: ( set_Pr934623755_o_o_o > set_Pr2088790547_o_o_o ) > set_Pr934623755_o_o_o > set_Pr2088790547_o_o_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__a_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J_M_062_I_062_Itf__c_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J_J_J,type,
    relAPP829628004_o_o_o: ( set_Pr934623755_o_o_o > set_Pr1371175689_o_o_o ) > set_Pr934623755_o_o_o > set_Pr1371175689_o_o_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_I_Eo_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_062_I_Eo_M_Eo_J_J_J_J,type,
    relAPP2105552994_o_o_o: ( set_Pr934623755_o_o_o > set_Pr618353415_o_o_o ) > set_Pr934623755_o_o_o > set_Pr618353415_o_o_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Int__Oint_M_062_I_Eo_M_Eo_J_J_M_062_It__Int__Oint_M_062_I_Eo_M_Eo_J_J_J_J,type,
    relAPP1212753788nt_o_o: ( set_Pr934623755_o_o_o > set_Pr1006121889nt_o_o ) > set_Pr934623755_o_o_o > set_Pr1006121889nt_o_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_I_Eo_M_Eo_J_J_M_062_It__Nat__Onat_M_062_I_Eo_M_Eo_J_J_J_J,type,
    relAPP117572292at_o_o: ( set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ) > set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ).

thf(sy_c_Relators_OrelAPP_001_062_I_Eo_M_Eo_J_001_062_I_Eo_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_Itf__a_M_062_I_Eo_M_Eo_J_J_M_062_Itf__c_M_062_I_Eo_M_Eo_J_J_J_J,type,
    relAPP1525934692_c_o_o: ( set_Pr934623755_o_o_o > set_Pr1933985801_c_o_o ) > set_Pr934623755_o_o_o > set_Pr1933985801_c_o_o ).

thf(sy_c_Relators_OrelAPP_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_001_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_I_062_It__Int__Oint_M_Eo_J_M_062_It__Int__Oint_M_Eo_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_M_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_J_J_J,type,
    relAPP1620826092_int_o: ( set_Pr1320171143_int_o > set_Pr94755271_int_o > set_Pr1435428853_int_o ) > set_Pr1320171143_int_o > set_Pr94755271_int_o > set_Pr1435428853_int_o ).

thf(sy_c_Relators_OrelAPP_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J_001_062_It__Set__Oset_It__Product____Type__Oprod_I_Eo_M_Eo_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_M_062_I_062_It__Int__Oint_M_Eo_J_M_Eo_J_J_J_J,type,
    relAPP967602156nt_o_o: ( set_Pr94755271_int_o > set_Product_prod_o_o > set_Pr1495585653nt_o_o ) > set_Pr94755271_int_o > set_Product_prod_o_o > set_Pr1495585653nt_o_o ).

thf(sy_c_Relators_OrelAPP_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_M_062_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_Eo_J_J_J_J,type,
    relAPP371694684_int_o: ( set_Pr94755271_int_o > set_Pr1435428853_int_o ) > set_Pr94755271_int_o > set_Pr1435428853_int_o ).

thf(sy_c_Relators_OrelAPP_001_062_It__Int__Oint_M_Eo_J_001_062_It__Int__Oint_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_M_062_It__Int__Oint_M_062_It__Int__Oint_M_Eo_J_J_J_J,type,
    relAPP556082542_int_o: ( set_Pr94755271_int_o > set_Pr1320171143_int_o ) > set_Pr94755271_int_o > set_Pr1320171143_int_o ).

thf(sy_c_Relators_OrelAPP_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_J,type,
    relAPP274646254_nat_o: ( set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ) > set_Pr1659864199_nat_o > set_Pr1602564423_nat_o ).

thf(sy_c_Relators_OrelAPP_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_Eo_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_I_062_I_Eo_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_J,type,
    relAPP171453998_nat_o: ( set_Pr1659864199_nat_o > set_Pr524661639_nat_o ) > set_Pr1659864199_nat_o > set_Pr524661639_nat_o ).

thf(sy_c_Relators_OrelAPP_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_J,type,
    relAPP752865152_nat_o: ( set_Pr1659864199_nat_o > set_Pr766923865_nat_o ) > set_Pr1659864199_nat_o > set_Pr766923865_nat_o ).

thf(sy_c_Relators_OrelAPP_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_M_062_I_062_It__Nat__Onat_M_Eo_J_M_062_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_J_J_J,type,
    relAPP560972006_nat_o: ( set_Pr310822599_nat_o > set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ) > set_Pr310822599_nat_o > set_Pr1602564423_nat_o > set_Pr1125433775_nat_o ).

thf(sy_c_Relators_OrelAPP_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Set__Oset_It__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_M_062_I_062_It__Nat__Onat_M_Eo_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J_J_J,type,
    relAPP16974672_nat_o: ( set_Pr310822599_nat_o > set_Pr1659864199_nat_o > set_Pr766923865_nat_o ) > set_Pr310822599_nat_o > set_Pr1659864199_nat_o > set_Pr766923865_nat_o ).

thf(sy_c_Relators_OrelAPP_001_062_It__Nat__Onat_M_Eo_J_001_062_It__Nat__Onat_M_Eo_J_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_M_062_It__Nat__Onat_M_062_It__Nat__Onat_M_Eo_J_J_J_J,type,
    relAPP432724078_nat_o: ( set_Pr310822599_nat_o > set_Pr1659864199_nat_o ) > set_Pr310822599_nat_o > set_Pr1659864199_nat_o ).

thf(sy_c_Relators_OrelAPP_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_001_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_I_062_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J_J,type,
    relAPP759382665nres_d: ( set_Pr24800800nres_d > set_Pr797615136nres_d > set_Pr1712866168nres_d ) > set_Pr24800800nres_d > set_Pr797615136nres_d > set_Pr1712866168nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_Itf__a_M_062_I_Eo_M_Eo_J_J_001_062_Itf__c_M_062_I_Eo_M_Eo_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_Eo_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__a_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J_M_062_I_062_Itf__c_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_Eo_J_J_J_J_J,type,
    relAPP1210499902_o_o_o: ( set_Pr1933985801_c_o_o > set_Pr934623755_o_o_o > set_Pr1371175689_o_o_o ) > set_Pr1933985801_c_o_o > set_Pr934623755_o_o_o > set_Pr1371175689_o_o_o ).

thf(sy_c_Relators_OrelAPP_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J_J_J,type,
    relAPP483050597nres_c: ( set_Pr134917244nres_c > set_Pr1128439124nres_c > set_Pr404050976nres_c ) > set_Pr134917244nres_c > set_Pr1128439124nres_c > set_Pr404050976nres_c ).

thf(sy_c_Relators_OrelAPP_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_J_J,type,
    relAPP1293188647nres_b: ( set_Pr1815766654nres_b > set_Pr896671762nres_b > set_Pr1052763806nres_b ) > set_Pr1815766654nres_b > set_Pr896671762nres_b > set_Pr1052763806nres_b ).

thf(sy_c_Relators_OrelAPP_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_J_J,type,
    relAPP811277159nres_a: ( set_Pr1635457468nres_a > set_Pr1598501265nres_a > set_Pr436741343nres_a ) > set_Pr1635457468nres_a > set_Pr1598501265nres_a > set_Pr436741343nres_a ).

thf(sy_c_Relators_OrelAPP_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_I_062_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_M_062_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J_J,type,
    relAPP1716516381nres_d: ( set_Pr589481214nres_d > set_Pr1824526846nres_d > set_Pr613277282nres_d ) > set_Pr589481214nres_d > set_Pr1824526846nres_d > set_Pr613277282nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J,type,
    relAPP98076839nres_d: ( set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001t__Set__Oset_It__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J,type,
    relAPP1482036727nres_d: ( set_Pr589481214nres_d > set_Pr1537816964nres_d ) > set_Pr589481214nres_d > set_Pr1537816964nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J_J_J,type,
    relAPP1763648999nres_c: ( set_Pr409172028nres_c > set_Pr194842259nres_c > set_Pr181592673nres_c ) > set_Pr409172028nres_c > set_Pr194842259nres_c > set_Pr181592673nres_c ).

thf(sy_c_Relators_OrelAPP_001_062_Itf__a_Mtf__a_J_001_062_Itf__c_Mtf__c_J_001_062_It__Set__Oset_It__Product____Type__Oprod_Itf__a_Mtf__c_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__a_Mtf__a_J_Mtf__a_J_M_062_I_062_Itf__c_Mtf__c_J_Mtf__c_J_J_J_J,type,
    relAPP981449866_c_c_c: ( set_Pr1234209675_a_c_c > set_Product_prod_a_c > set_Pr1673989513_c_c_c ) > set_Pr1234209675_a_c_c > set_Product_prod_a_c > set_Pr1673989513_c_c_c ).

thf(sy_c_Relators_OrelAPP_001_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_001_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J_J_J,type,
    relAPP1790450405nres_c: ( set_Pr979578428nres_c > set_Pr1128439124nres_c > set_Pr57594146nres_c ) > set_Pr979578428nres_c > set_Pr1128439124nres_c > set_Pr57594146nres_c ).

thf(sy_c_Relators_OrelAPP_001_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J,type,
    relAPP1405476647nres_d: ( set_Pr1434142398nres_d > set_Pr1640496404nres_d > set_Pr451158306nres_d ) > set_Pr1434142398nres_d > set_Pr1640496404nres_d > set_Pr451158306nres_d ).

thf(sy_c_Relators_OrelAPP_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_J_J,type,
    relAPP38185259nres_b: ( set_Pr1345535106nres_b > set_Pr1176961680nres_b > set_Pr1402127136nres_b ) > set_Pr1345535106nres_b > set_Pr1176961680nres_b > set_Pr1402127136nres_b ).

thf(sy_c_Relators_OrelAPP_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_001_062_It__Set__Oset_It__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J_J,type,
    relAPP990557099nres_d: ( set_Pr119249666nres_d > set_Pr1920786322nres_d > set_Pr1146978466nres_d ) > set_Pr119249666nres_d > set_Pr1920786322nres_d > set_Pr1146978466nres_d ).

thf(sy_c_Relators_OrelAPP_001_Eo_001_Eo_001_062_It__Set__Oset_It__Product____Type__Oprod_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_Eo_J_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_Eo_M_062_I_Eo_M_Eo_J_J_M_062_I_Eo_M_062_I_Eo_M_Eo_J_J_J_J_J,type,
    relAPP1591113530_o_o_o: ( set_Product_prod_o_o > set_Pr934623755_o_o_o > set_Pr618353415_o_o_o ) > set_Product_prod_o_o > set_Pr934623755_o_o_o > set_Pr618353415_o_o_o ).

thf(sy_c_Relators_OrelAPP_001_Eo_001_Eo_001_062_It__Set__Oset_It__Product____Type__Oprod_I_Eo_M_Eo_J_J_Mt__Set__Oset_It__Product____Type__Oprod_I_062_I_Eo_M_Eo_J_M_062_I_Eo_M_Eo_J_J_J_J,type,
    relAPP916474178_o_o_o: ( set_Product_prod_o_o > set_Product_prod_o_o > set_Pr934623755_o_o_o ) > set_Product_prod_o_o > set_Product_prod_o_o > set_Pr934623755_o_o_o ).

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    relAPP958748846_int_o: ( set_Pr1858794777nt_int > set_Pr1435428853_int_o > set_Pr1351316363_int_o ) > set_Pr1858794777nt_int > set_Pr1435428853_int_o > set_Pr1351316363_int_o ).

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    relAPP1963072942nt_o_o: ( set_Pr1858794777nt_int > set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ) > set_Pr1858794777nt_int > set_Pr1495585653nt_o_o > set_Pr1524520971nt_o_o ).

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    relAPP1052348760_int_o: ( set_Pr1858794777nt_int > set_Pr94755271_int_o > set_Pr1320171143_int_o ) > set_Pr1858794777nt_int > set_Pr94755271_int_o > set_Pr1320171143_int_o ).

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    relAPP1991857966nt_int: ( set_Pr1858794777nt_int > set_Pr1858794777nt_int > set_Pr2110946351nt_int ) > set_Pr1858794777nt_int > set_Pr1858794777nt_int > set_Pr2110946351nt_int ).

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    relAPP1187211054nt_nat: ( set_Pr1858794777nt_int > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ) > set_Pr1858794777nt_int > set_Pr1986765409at_nat > set_Pr1719254903nt_nat ).

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    relAPP1294852440_int_c: ( set_Pr1858794777nt_int > set_Product_prod_a_c > set_Pr1575377993_int_c ) > set_Pr1858794777nt_int > set_Product_prod_a_c > set_Pr1575377993_int_c ).

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    relAPP1162049684_o_int: ( set_Pr1858794777nt_int > set_Pr1437791047_o_int ) > set_Pr1858794777nt_int > set_Pr1437791047_o_int ).

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    relAPP2103870142at_o_o: ( set_Pr1986765409at_nat > set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ) > set_Pr1986765409at_nat > set_Pr934623755_o_o_o > set_Pr2058424041at_o_o ).

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    relAPP1989008800_nat_o: ( set_Pr1986765409at_nat > set_Pr310822599_nat_o > set_Pr1659864199_nat_o ) > set_Pr1986765409at_nat > set_Pr310822599_nat_o > set_Pr1659864199_nat_o ).

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    relAPP1569030304_nat_o: ( set_Pr1986765409at_nat > set_Product_prod_o_o > set_Pr310822599_nat_o ) > set_Pr1986765409at_nat > set_Product_prod_o_o > set_Pr310822599_nat_o ).

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    relAPP1879625150at_int: ( set_Pr1986765409at_nat > set_Pr1858794777nt_int > set_Pr1749533559at_int ) > set_Pr1986765409at_nat > set_Pr1858794777nt_int > set_Pr1749533559at_int ).

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    relAPP1074978238at_nat: ( set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1357842111at_nat ) > set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1357842111at_nat ).

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    relAPP1111247343nres_b: ( set_Pr384614482nres_a > set_Pr1052763806nres_b > set_Pr818594592nres_b ) > set_Pr384614482nres_a > set_Pr1052763806nres_b > set_Pr818594592nres_b ).

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    relAPP1936960811nres_b: ( set_Pr896671762nres_b > set_Pr1815766654nres_b ) > set_Pr896671762nres_b > set_Pr1815766654nres_b ).

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    relAPP1483117353nres_b: ( set_Pr896671762nres_b > set_Pr512944190nres_b ) > set_Pr896671762nres_b > set_Pr512944190nres_b ).

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    relAPP1523780267nres_b: ( set_Pr1176961680nres_b > set_Pr42712642nres_b ) > set_Pr1176961680nres_b > set_Pr42712642nres_b ).

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    relAPP941435307nres_d: ( set_Pr1920786322nres_d > set_Pr119249666nres_d ) > set_Pr1920786322nres_d > set_Pr119249666nres_d ).

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    relAPP1740535279nres_b: ( set_Product_prod_a_a > set_Pr1052763806nres_b > set_Pr1358127528nres_b ) > set_Product_prod_a_a > set_Pr1052763806nres_b > set_Pr1358127528nres_b ).

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    relAPP439940547nres_a: ( set_Product_prod_a_a > set_Pr384614482nres_a > set_Pr1361202684nres_a ) > set_Product_prod_a_a > set_Pr384614482nres_a > set_Pr1361202684nres_a ).

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    relAPP1536875909nres_b: ( set_Product_prod_a_a > set_Pr896671762nres_b > set_Pr1815766654nres_b ) > set_Product_prod_a_a > set_Pr896671762nres_b > set_Pr1815766654nres_b ).

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    relAPP1642956907nres_a: ( set_Product_prod_a_a > set_Pr384614482nres_a ) > set_Product_prod_a_a > set_Pr384614482nres_a ).

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    relAPP11374829nres_b: ( set_Product_prod_a_b > set_Pr1830268627nres_b ) > set_Product_prod_a_b > set_Pr1830268627nres_b ).

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    relAPP913737114_o_o_o: ( set_Product_prod_a_c > set_Pr1371175689_o_o_o > set_Pr1774281699_o_o_o ) > set_Product_prod_a_c > set_Pr1371175689_o_o_o > set_Pr1774281699_o_o_o ).

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    relAPP1155943915nres_c: ( set_Product_prod_a_c > set_Pr404050976nres_c > set_Pr1250642728nres_c ) > set_Product_prod_a_c > set_Pr404050976nres_c > set_Pr1250642728nres_c ).

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    relAPP1135042155nres_d: ( set_Product_prod_a_c > set_Pr797615136nres_d > set_Pr2080238504nres_d ) > set_Product_prod_a_c > set_Pr797615136nres_d > set_Pr2080238504nres_d ).

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    relAPP1889825126_c_c_c: ( set_Product_prod_a_c > set_Pr1673989513_c_c_c > set_Pr807116335_c_c_c ) > set_Product_prod_a_c > set_Pr1673989513_c_c_c > set_Pr807116335_c_c_c ).

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thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_J,type,
    member757031305nres_b: produc96971890nres_b > set_Pr1358127528nres_b > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__a_M_062_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_Itf__c_M_062_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J,type,
    member189721481nres_d: produc1677145714nres_d > set_Pr2080238504nres_d > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__a_M_062_I_Eo_M_Eo_J_J_M_062_Itf__c_M_062_I_Eo_M_Eo_J_J_J,type,
    member1051493202_c_o_o: produc1838469673_c_o_o > set_Pr1933985801_c_o_o > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_M_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J,type,
    member1680325597nres_a: produc699795910nres_a > set_Pr1361202684nres_a > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_M_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
    member100096605nres_c: produc1267050566nres_c > set_Pr134917244nres_c > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J,type,
    member369653087nres_b: produc1536607048nres_b > set_Pr1815766654nres_b > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    member936907743nres_d: produc2103861704nres_d > set_Pr589481214nres_d > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__a_Mtf__a_J_M_062_Itf__c_Mtf__c_J_J,type,
    member1010099668_a_c_c: product_prod_a_a_c_c > set_Pr1234209675_a_c_c > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__b_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J_M_062_Itf__d_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J_J,type,
    member228973321nres_c: produc1716397554nres_c > set_Pr584391464nres_c > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__b_M_062_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J_M_062_Itf__d_M_062_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J_J,type,
    member2139143049nres_d: produc1479083634nres_d > set_Pr1413987240nres_d > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_M_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
    member2086976541nres_c: produc1106446854nres_c > set_Pr979578428nres_c > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J,type,
    member209049375nres_b: produc1376003336nres_b > set_Pr512944190nres_b > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_M_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_J,type,
    member776304031nres_d: produc1943257992nres_d > set_Pr1434142398nres_d > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_M_062_Itf__a_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J_J,type,
    member318002145nres_a: produc1484956106nres_a > set_Pr890971136nres_a > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_M_062_Itf__c_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J_J,type,
    member885256801nres_c: produc2052210762nres_c > set_Pr1812169344nres_c > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_062_Itf__d_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J_M_062_Itf__b_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_J,type,
    member994209571nres_b: produc13679884nres_b > set_Pr42712642nres_b > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_I_Eo_M_Eo_J,type,
    member55945296od_o_o: product_prod_o_o > set_Product_prod_o_o > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_It__Int__Oint_Mt__Int__Oint_J,type,
    member776767074nt_int: product_prod_int_int > set_Pr1858794777nt_int > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_It__Nat__Onat_Mt__Nat__Onat_J,type,
    member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J,type,
    member1468928819nres_a: produc1609974940nres_a > set_Pr384614482nres_a > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J,type,
    member1600573749nres_c: produc1741619870nres_c > set_Pr1128439124nres_c > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J,type,
    member1446466291nres_b: produc1587512412nres_b > set_Pr896671762nres_b > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_J,type,
    member1578111221nres_d: produc1719157342nres_d > set_Pr1640496404nres_d > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__a_J_J,type,
    member1292358833nres_a: produc1433404954nres_a > set_Pr664904400nres_a > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__c_J_J,type,
    member1424003763nres_c: produc1565049884nres_c > set_Pr1408729042nres_c > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_It__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__d_J_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J,type,
    member1269896305nres_b: produc1410942426nres_b > set_Pr1176961680nres_b > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_Itf__a_Mtf__a_J,type,
    member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_Itf__a_Mtf__c_J,type,
    member466432594od_a_c: product_prod_a_c > set_Product_prod_a_c > $o ).

thf(sy_c_member_001t__Product____Type__Oprod_Itf__b_Mtf__d_J,type,
    member1302463506od_b_d: product_prod_b_d > set_Product_prod_b_d > $o ).

thf(sy_v_R1,type,
    r1: set_Product_prod_a_c ).

thf(sy_v_R2,type,
    r2: set_Product_prod_b_d ).

% Relevant facts (350)
thf(fact_0_param__bind,axiom,
    ! [Ra: set_Product_prod_a_a,Rb: set_Product_prod_b_b] : ( member1700179713nres_b @ ( produc1992182244nres_b @ refine436832839nd_a_b @ refine436832839nd_a_b ) @ ( relAPP869047273nres_b @ ( relAPP1111247343nres_b @ fun_re2045802267nres_b @ ( relAPP1642956907nres_a @ refine737062558el_a_a @ Ra ) ) @ ( relAPP2095637113nres_b @ ( relAPP1293188647nres_b @ fun_re1579405647nres_b @ ( relAPP1936960811nres_b @ ( relAPP1536875909nres_b @ fun_re1837693787nres_b @ Ra ) @ ( relAPP281291371nres_b @ refine1564831966el_b_b @ Rb ) ) ) @ ( relAPP281291371nres_b @ refine1564831966el_b_b @ Rb ) ) ) ) ).

% param_bind
thf(fact_1_param__bind,axiom,
    ! [Ra: set_Product_prod_c_a,Rb: set_Product_prod_d_b] : ( member2039405057nres_b @ ( produc183923940nres_b @ refine2092371655nd_c_d @ refine436832839nd_a_b ) @ ( relAPP1077394663nres_b @ ( relAPP1747515631nres_b @ fun_re650017687nres_b @ ( relAPP35306343nres_a @ refine245117724el_c_a @ Ra ) ) @ ( relAPP1033339257nres_b @ ( relAPP38185259nres_b @ fun_re1925572817nres_b @ ( relAPP1977623725nres_b @ ( relAPP774904585nres_b @ fun_re492134875nres_b @ Ra ) @ ( relAPP821124455nres_b @ refine1072887132el_d_b @ Rb ) ) ) @ ( relAPP821124455nres_b @ refine1072887132el_d_b @ Rb ) ) ) ) ).

% param_bind
thf(fact_2_param__bind,axiom,
    ! [Ra: set_Product_prod_c_c,Rb: set_Product_prod_d_d] : ( member405013761nres_d @ ( produc1915822052nres_d @ refine2092371655nd_c_d @ refine2092371655nd_c_d ) @ ( relAPP720329701nres_d @ ( relAPP2032940527nres_d @ fun_re1190945563nres_d @ ( relAPP1067109483nres_c @ refine245117726el_c_c @ Ra ) ) @ ( relAPP1899039865nres_d @ ( relAPP990557099nres_d @ fun_re1740744275nres_d @ ( relAPP941435307nres_d @ ( relAPP508483205nres_d @ fun_re414971739nres_d @ Ra ) @ ( relAPP1852927595nres_d @ refine1072887134el_d_d @ Rb ) ) ) @ ( relAPP1852927595nres_d @ refine1072887134el_d_d @ Rb ) ) ) ) ).

% param_bind
thf(fact_3_param__bind,axiom,
    ! [Ra: set_Product_prod_a_c,Rb: set_Product_prod_a_c] : ( member1751415169nres_c @ ( produc2073916516nres_c @ refine436832838nd_a_a @ refine2092371654nd_c_c ) @ ( relAPP765626983nres_c @ ( relAPP177337967nres_c @ fun_re1915547295nres_c @ ( relAPP527276399nres_c @ refine737062560el_a_c @ Ra ) ) @ ( relAPP1774615993nres_c @ ( relAPP483050597nres_c @ fun_re1877185935nres_c @ ( relAPP2018433511nres_c @ ( relAPP173519167nres_c @ fun_re766812315nres_c @ Ra ) @ ( relAPP527276399nres_c @ refine737062560el_a_c @ Rb ) ) ) @ ( relAPP527276399nres_c @ refine737062560el_a_c @ Rb ) ) ) ) ).

% param_bind
thf(fact_4_param__bind,axiom,
    ! [Ra: set_Product_prod_a_c,Rb: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ Ra ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ Ra ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) ) ).

% param_bind
thf(fact_5_param__bind,axiom,
    ! [Ra: set_Product_prod_b_d,Rb: set_Product_prod_a_c] : ( member1715717121nres_c @ ( produc385572580nres_c @ refine1264602245nd_b_a @ refine772657413nd_d_c ) @ ( relAPP944912869nres_c @ ( relAPP492592111nres_c @ fun_re816936095nres_c @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Ra ) ) @ ( relAPP489595641nres_c @ ( relAPP1790450405nres_c @ fun_re1366722255nres_c @ ( relAPP1564590053nres_c @ ( relAPP709871101nres_c @ fun_re1209216603nres_c @ Ra ) @ ( relAPP527276399nres_c @ refine737062560el_a_c @ Rb ) ) ) @ ( relAPP527276399nres_c @ refine737062560el_a_c @ Rb ) ) ) ) ).

% param_bind
thf(fact_6_param__bind,axiom,
    ! [Ra: set_Product_prod_b_d,Rb: set_Product_prod_b_d] : ( member30090369nres_d @ ( produc2035736420nres_d @ refine1264602246nd_b_b @ refine772657414nd_d_d ) @ ( relAPP691268197nres_d @ ( relAPP1711926383nres_d @ fun_re1488118943nres_d @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Ra ) ) @ ( relAPP1676317369nres_d @ ( relAPP1405476647nres_d @ fun_re884113425nres_d @ ( relAPP446928935nres_d @ ( relAPP1806806463nres_d @ fun_re55451291nres_d @ Ra ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) ) ).

% param_bind
thf(fact_7_param__bind,axiom,
    ! [Ra: set_Pr589481214nres_d,Rb: set_Product_prod_b_d] : ( member449974729nres_d @ ( produc973126316nres_d @ refine1985319227es_b_b @ refine1129534141es_d_d ) @ ( relAPP745136137nres_d @ ( relAPP1787540131nres_d @ fun_re1732033515nres_d @ ( relAPP1482036727nres_d @ refine1535302424nres_d @ Ra ) ) @ ( relAPP1552964229nres_d @ ( relAPP1953591565nres_d @ fun_re2071856555nres_d @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ Ra ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) ) ).

% param_bind
thf(fact_8_param__bind,axiom,
    ! [Ra: set_Product_prod_a_d,Rb: set_Product_prod_b_c] : ( member1981370113nres_c @ ( produc651225572nres_c @ refine436832839nd_a_b @ refine772657413nd_d_c ) @ ( relAPP745269862nres_c @ ( relAPP1327809903nres_c @ fun_re297775585nres_c @ ( relAPP1043177969nres_d @ refine737062561el_a_d @ Ra ) ) @ ( relAPP1784890619nres_c @ ( relAPP1763648999nres_c @ fun_re955494798nres_c @ ( relAPP1699156520nres_c @ ( relAPP189920063nres_c @ fun_re631684249nres_c @ Ra ) @ ( relAPP797192941nres_c @ refine1564831967el_b_c @ Rb ) ) ) @ ( relAPP797192941nres_c @ refine1564831967el_b_c @ Rb ) ) ) ) ).

% param_bind
thf(fact_9_param__bind,axiom,
    ! [Ra: set_Product_prod_a_b,Rb: set_Product_prod_b_a] : ( member1468277761nres_a @ ( produc1066811108nres_a @ refine436832839nd_a_b @ refine1264602245nd_b_a ) @ ( relAPP1102334824nres_a @ ( relAPP1042385007nres_a @ fun_re1904331357nres_a @ ( relAPP11374829nres_b @ refine737062559el_a_b @ Ra ) ) @ ( relAPP919190011nres_a @ ( relAPP811277159nres_a @ fun_re1140323340nres_a @ ( relAPP587861290nres_a @ ( relAPP456341443nres_a @ fun_re708847385nres_a @ Ra ) @ ( relAPP1912873449nres_a @ refine1564831965el_b_a @ Rb ) ) ) @ ( relAPP1912873449nres_a @ refine1564831965el_b_a @ Rb ) ) ) ) ).

% param_bind
thf(fact_10_fun__relI,axiom,
    ! [A: set_Pr1858794777nt_int,F: int > $o,F2: int > $o,B: set_Product_prod_o_o] :
      ( ! [A2: int,A3: int] :
          ( ( member776767074nt_int @ ( product_Pair_int_int @ A2 @ A3 ) @ A )
         => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ A2 ) @ ( F2 @ A3 ) ) @ B ) )
     => ( member2072375312_int_o @ ( produc2007676503_int_o @ F @ F2 ) @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ A ) @ B ) ) ) ).

% fun_relI
thf(fact_11_fun__relI,axiom,
    ! [A: set_Product_prod_o_o,F: $o > $o,F2: $o > $o,B: set_Product_prod_o_o] :
      ( ! [A2: $o,A3: $o] :
          ( ( member55945296od_o_o @ ( product_Pair_o_o @ A2 @ A3 ) @ A )
         => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ A2 ) @ ( F2 @ A3 ) ) @ B ) )
     => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ F @ F2 ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ A ) @ B ) ) ) ).

% fun_relI
thf(fact_12_fun__relI,axiom,
    ! [A: set_Product_prod_a_c,F: a > refine432681134nres_b,F2: c > refine449204144nres_d,B: set_Pr1640496404nres_d] :
      ( ! [A2: a,A3: c] :
          ( ( member466432594od_a_c @ ( product_Pair_a_c @ A2 @ A3 ) @ A )
         => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F @ A2 ) @ ( F2 @ A3 ) ) @ B ) )
     => ( member936907743nres_d @ ( produc210841666nres_d @ F @ F2 ) @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ A ) @ B ) ) ) ).

% fun_relI
thf(fact_13_fun__relI,axiom,
    ! [A: set_Pr1986765409at_nat,F: nat > nat > $o,F2: nat > nat > $o,B: set_Pr310822599_nat_o] :
      ( ! [A2: nat,A3: nat] :
          ( ( member701585322at_nat @ ( product_Pair_nat_nat @ A2 @ A3 ) @ A )
         => ( member1330470160_nat_o @ ( produc1218908503_nat_o @ ( F @ A2 ) @ ( F2 @ A3 ) ) @ B ) )
     => ( member336854736_nat_o @ ( produc1593059991_nat_o @ F @ F2 ) @ ( relAPP432724078_nat_o @ ( relAPP1989008800_nat_o @ fun_re1770844140_nat_o @ A ) @ B ) ) ) ).

% fun_relI
thf(fact_14_fun__relI,axiom,
    ! [A: set_Pr1858794777nt_int,F: int > int > $o,F2: int > int > $o,B: set_Pr94755271_int_o] :
      ( ! [A2: int,A3: int] :
          ( ( member776767074nt_int @ ( product_Pair_int_int @ A2 @ A3 ) @ A )
         => ( member2072375312_int_o @ ( produc2007676503_int_o @ ( F @ A2 ) @ ( F2 @ A3 ) ) @ B ) )
     => ( member93171920_int_o @ ( produc1217921175_int_o @ F @ F2 ) @ ( relAPP556082542_int_o @ ( relAPP1052348760_int_o @ fun_re986858916_int_o @ A ) @ B ) ) ) ).

% fun_relI
thf(fact_15_fun__relI,axiom,
    ! [A: set_Product_prod_o_o,F: $o > $o > $o,F2: $o > $o > $o,B: set_Pr934623755_o_o_o] :
      ( ! [A2: $o,A3: $o] :
          ( ( member55945296od_o_o @ ( product_Pair_o_o @ A2 @ A3 ) @ A )
         => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ A2 ) @ ( F2 @ A3 ) ) @ B ) )
     => ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ F @ F2 ) @ ( relAPP2105552994_o_o_o @ ( relAPP1591113530_o_o_o @ fun_rel_o_o_o_o_o_o @ A ) @ B ) ) ) ).

% fun_relI
thf(fact_16_fun__relI,axiom,
    ! [A: set_Pr589481214nres_d,F: ( a > refine432681134nres_b ) > refine432681134nres_b,F2: ( c > refine449204144nres_d ) > refine449204144nres_d,B: set_Pr1640496404nres_d] :
      ( ! [A2: a > refine432681134nres_b,A3: c > refine449204144nres_d] :
          ( ( member936907743nres_d @ ( produc210841666nres_d @ A2 @ A3 ) @ A )
         => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F @ A2 ) @ ( F2 @ A3 ) ) @ B ) )
     => ( member461830657nres_d @ ( produc2075136412nres_d @ F @ F2 ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ A ) @ B ) ) ) ).

% fun_relI
thf(fact_17_fun__relI,axiom,
    ! [A: set_Pr934623755_o_o_o,F: ( $o > $o ) > $o > $o,F2: ( $o > $o ) > $o > $o,B: set_Pr934623755_o_o_o] :
      ( ! [A2: $o > $o,A3: $o > $o] :
          ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ A2 @ A3 ) @ A )
         => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ A2 ) @ ( F2 @ A3 ) ) @ B ) )
     => ( member1888652380_o_o_o @ ( produc1486173035_o_o_o @ F @ F2 ) @ ( relAPP1865476078_o_o_o @ ( relAPP704164370_o_o_o @ fun_re682130338_o_o_o @ A ) @ B ) ) ) ).

% fun_relI
thf(fact_18_fun__relI,axiom,
    ! [A: set_Pr310822599_nat_o,F: ( nat > $o ) > nat > nat > $o,F2: ( nat > $o ) > nat > nat > $o,B: set_Pr1659864199_nat_o] :
      ( ! [A2: nat > $o,A3: nat > $o] :
          ( ( member1330470160_nat_o @ ( produc1218908503_nat_o @ A2 @ A3 ) @ A )
         => ( member336854736_nat_o @ ( produc1593059991_nat_o @ ( F @ A2 ) @ ( F2 @ A3 ) ) @ B ) )
     => ( member1184737698_nat_o @ ( produc1206080049_nat_o @ F @ F2 ) @ ( relAPP752865152_nat_o @ ( relAPP16974672_nat_o @ fun_re881041610_nat_o @ A ) @ B ) ) ) ).

% fun_relI
thf(fact_19_fun__relI,axiom,
    ! [A: set_Pr934623755_o_o_o,F: ( $o > $o ) > $o > $o > $o,F2: ( $o > $o ) > $o > $o > $o,B: set_Pr618353415_o_o_o] :
      ( ! [A2: $o > $o,A3: $o > $o] :
          ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ A2 @ A3 ) @ A )
         => ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ ( F @ A2 ) @ ( F2 @ A3 ) ) @ B ) )
     => ( member77287248_o_o_o @ ( produc618371095_o_o_o @ F @ F2 ) @ ( relAPP102288174_o_o_o @ ( relAPP200810762_o_o_o @ fun_re2101272022_o_o_o @ A ) @ B ) ) ) ).

% fun_relI
thf(fact_20_autoref__Let,axiom,
    ! [Ra: set_Pr1858794777nt_int,Rr: set_Product_prod_o_o] :
      ( member672653908nt_o_o
      @ ( produc2111111011nt_o_o
        @ ^ [S: int,F3: int > $o] : ( F3 @ S )
        @ ^ [S: int,F3: int > $o] : ( F3 @ S ) )
      @ ( relAPP92429436nt_o_o @ ( relAPP1963072942nt_o_o @ fun_re442767642nt_o_o @ Ra ) @ ( relAPP1339734044nt_o_o @ ( relAPP967602156nt_o_o @ fun_re667116106_o_o_o @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ Ra ) @ Rr ) ) @ Rr ) ) ) ).

% autoref_Let
thf(fact_21_autoref__Let,axiom,
    ! [Ra: set_Product_prod_a_c,Rr: set_Pr1640496404nres_d] :
      ( member189721481nres_d
      @ ( produc627868012nres_d
        @ ^ [S: a,F3: a > refine432681134nres_b] : ( F3 @ S )
        @ ^ [S: c,F3: c > refine449204144nres_d] : ( F3 @ S ) )
      @ ( relAPP1354295571nres_d @ ( relAPP1135042155nres_d @ fun_re1089848935nres_d @ Ra ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ Ra ) @ Rr ) ) @ Rr ) ) ) ).

% autoref_Let
thf(fact_22_autoref__Let,axiom,
    ! [Ra: set_Pr1858794777nt_int,Rr: set_Pr94755271_int_o] :
      ( member764986836_int_o
      @ ( produc604705507_int_o
        @ ^ [S: int,F3: int > int > $o] : ( F3 @ S )
        @ ^ [S: int,F3: int > int > $o] : ( F3 @ S ) )
      @ ( relAPP1770679164_int_o @ ( relAPP958748846_int_o @ fun_re2036221850_int_o @ Ra ) @ ( relAPP371694684_int_o @ ( relAPP1620826092_int_o @ fun_re22412234_int_o @ ( relAPP556082542_int_o @ ( relAPP1052348760_int_o @ fun_re986858916_int_o @ Ra ) @ Rr ) ) @ Rr ) ) ) ).

% autoref_Let
thf(fact_23_autoref__Let,axiom,
    ! [Ra: set_Pr589481214nres_d,Rr: set_Pr1640496404nres_d] :
      ( member660096835nres_d
      @ ( produc1910095910nres_d
        @ ^ [S: a > refine432681134nres_b,F3: ( a > refine432681134nres_b ) > refine432681134nres_b] : ( F3 @ S )
        @ ^ [S: c > refine449204144nres_d,F3: ( c > refine449204144nres_d ) > refine449204144nres_d] : ( F3 @ S ) )
      @ ( relAPP1388319497nres_d @ ( relAPP1716516381nres_d @ fun_re1306413669nres_d @ Ra ) @ ( relAPP1552964229nres_d @ ( relAPP1953591565nres_d @ fun_re2071856555nres_d @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ Ra ) @ Rr ) ) @ Rr ) ) ) ).

% autoref_Let
thf(fact_24_autoref__Let,axiom,
    ! [Ra: set_Pr310822599_nat_o,Rr: set_Pr1659864199_nat_o] :
      ( member1641679352_nat_o
      @ ( produc1714464775_nat_o
        @ ^ [S: nat > $o,F3: ( nat > $o ) > nat > nat > $o] : ( F3 @ S )
        @ ^ [S: nat > $o,F3: ( nat > $o ) > nat > nat > $o] : ( F3 @ S ) )
      @ ( relAPP1219475094_nat_o @ ( relAPP560972006_nat_o @ fun_re215849226_nat_o @ Ra ) @ ( relAPP274646254_nat_o @ ( relAPP1957341080_nat_o @ fun_re1934003492_nat_o @ ( relAPP752865152_nat_o @ ( relAPP16974672_nat_o @ fun_re881041610_nat_o @ Ra ) @ Rr ) ) @ Rr ) ) ) ).

% autoref_Let
thf(fact_25_autoref__Let,axiom,
    ! [Ra: set_Pr1128439124nres_c,Rr: set_Pr797615136nres_d] :
      ( member508530605nres_d
      @ ( produc912866704nres_d
        @ ^ [S: refine424419629nres_a,F3: refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b] : ( F3 @ S )
        @ ^ [S: refine440942639nres_c,F3: refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d] : ( F3 @ S ) )
      @ ( relAPP1095654971nres_d @ ( relAPP422583323nres_d @ fun_re1190106143nres_d @ Ra ) @ ( relAPP1659518317nres_d @ ( relAPP759382665nres_d @ fun_re692194867nres_d @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ Ra ) @ Rr ) ) @ Rr ) ) ) ).

% autoref_Let
thf(fact_26_autoref__Let,axiom,
    ! [Ra: set_Product_prod_b_d,Rr: set_Pr1640496404nres_d] :
      ( member2139143049nres_d
      @ ( produc765243756nres_d
        @ ^ [S: b,F3: b > refine432681134nres_b] : ( F3 @ S )
        @ ^ [S: d,F3: d > refine449204144nres_d] : ( F3 @ S ) )
      @ ( relAPP486948753nres_d @ ( relAPP1996600361nres_d @ fun_re1101734569nres_d @ Ra ) @ ( relAPP1676317369nres_d @ ( relAPP1405476647nres_d @ fun_re884113425nres_d @ ( relAPP446928935nres_d @ ( relAPP1806806463nres_d @ fun_re55451291nres_d @ Ra ) @ Rr ) ) @ Rr ) ) ) ).

% autoref_Let
thf(fact_27_autoref__Let,axiom,
    ! [Ra: set_Product_prod_b_d,Rr: set_Pr1128439124nres_c] :
      ( member228973321nres_c
      @ ( produc1961734380nres_c
        @ ^ [S: b,F3: b > refine424419629nres_a] : ( F3 @ S )
        @ ^ [S: d,F3: d > refine440942639nres_c] : ( F3 @ S ) )
      @ ( relAPP131141393nres_c @ ( relAPP2017502121nres_c @ fun_re430551721nres_c @ Ra ) @ ( relAPP489595641nres_c @ ( relAPP1790450405nres_c @ fun_re1366722255nres_c @ ( relAPP1564590053nres_c @ ( relAPP709871101nres_c @ fun_re1209216603nres_c @ Ra ) @ Rr ) ) @ Rr ) ) ) ).

% autoref_Let
thf(fact_28_autoref__Let,axiom,
    ! [Ra: set_Product_prod_a_c,Rr: set_Pr1128439124nres_c] :
      ( member427035401nres_c
      @ ( produc1824358636nres_c
        @ ^ [S: a,F3: a > refine424419629nres_a] : ( F3 @ S )
        @ ^ [S: c,F3: c > refine440942639nres_c] : ( F3 @ S ) )
      @ ( relAPP998488211nres_c @ ( relAPP1155943915nres_c @ fun_re418666087nres_c @ Ra ) @ ( relAPP1774615993nres_c @ ( relAPP483050597nres_c @ fun_re1877185935nres_c @ ( relAPP2018433511nres_c @ ( relAPP173519167nres_c @ fun_re766812315nres_c @ Ra ) @ Rr ) ) @ Rr ) ) ) ).

% autoref_Let
thf(fact_29_autoref__Let,axiom,
    ! [Ra: set_Product_prod_a_a,Rr: set_Pr896671762nres_b] :
      ( member757031305nres_b
      @ ( produc295171948nres_b
        @ ^ [S: a,F3: a > refine432681134nres_b] : ( F3 @ S )
        @ ^ [S: a,F3: a > refine432681134nres_b] : ( F3 @ S ) )
      @ ( relAPP91071253nres_b @ ( relAPP1740535279nres_b @ fun_re1165441639nres_b @ Ra ) @ ( relAPP2095637113nres_b @ ( relAPP1293188647nres_b @ fun_re1579405647nres_b @ ( relAPP1936960811nres_b @ ( relAPP1536875909nres_b @ fun_re1837693787nres_b @ Ra ) @ Rr ) ) @ Rr ) ) ) ).

% autoref_Let
thf(fact_30_fun__relD1,axiom,
    ! [F: int > $o,F2: int > $o,Ra: set_Pr1858794777nt_int,Rr: set_Product_prod_o_o,X: int,R: $o] :
      ( ( member2072375312_int_o @ ( produc2007676503_int_o @ F @ F2 ) @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ Ra ) @ Rr ) )
     => ( ( ( F @ X )
          = R )
       => ! [X2: int] :
            ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ X2 ) @ Ra )
           => ( member55945296od_o_o @ ( product_Pair_o_o @ R @ ( F2 @ X2 ) ) @ Rr ) ) ) ) ).

% fun_relD1
thf(fact_31_fun__relD1,axiom,
    ! [F: $o > $o,F2: $o > $o,Ra: set_Product_prod_o_o,Rr: set_Product_prod_o_o,X: $o,R: $o] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ F @ F2 ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ Ra ) @ Rr ) )
     => ( ( ( F @ X )
          = R )
       => ! [X2: $o] :
            ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ X2 ) @ Ra )
           => ( member55945296od_o_o @ ( product_Pair_o_o @ R @ ( F2 @ X2 ) ) @ Rr ) ) ) ) ).

% fun_relD1
thf(fact_32_fun__relD1,axiom,
    ! [F: a > refine432681134nres_b,F2: c > refine449204144nres_d,Ra: set_Product_prod_a_c,Rr: set_Pr1640496404nres_d,X: a,R: refine432681134nres_b] :
      ( ( member936907743nres_d @ ( produc210841666nres_d @ F @ F2 ) @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ Ra ) @ Rr ) )
     => ( ( ( F @ X )
          = R )
       => ! [X2: c] :
            ( ( member466432594od_a_c @ ( product_Pair_a_c @ X @ X2 ) @ Ra )
           => ( member1578111221nres_d @ ( produc2147164944nres_d @ R @ ( F2 @ X2 ) ) @ Rr ) ) ) ) ).

% fun_relD1
thf(fact_33_fun__relD1,axiom,
    ! [F: $o > $o > $o,F2: $o > $o > $o,Ra: set_Product_prod_o_o,Rr: set_Pr934623755_o_o_o,X: $o,R: $o > $o] :
      ( ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ F @ F2 ) @ ( relAPP2105552994_o_o_o @ ( relAPP1591113530_o_o_o @ fun_rel_o_o_o_o_o_o @ Ra ) @ Rr ) )
     => ( ( ( F @ X )
          = R )
       => ! [X2: $o] :
            ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ X2 ) @ Ra )
           => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ R @ ( F2 @ X2 ) ) @ Rr ) ) ) ) ).

% fun_relD1
thf(fact_34_fun__relD1,axiom,
    ! [F: nat > nat > $o,F2: nat > nat > $o,Ra: set_Pr1986765409at_nat,Rr: set_Pr310822599_nat_o,X: nat,R: nat > $o] :
      ( ( member336854736_nat_o @ ( produc1593059991_nat_o @ F @ F2 ) @ ( relAPP432724078_nat_o @ ( relAPP1989008800_nat_o @ fun_re1770844140_nat_o @ Ra ) @ Rr ) )
     => ( ( ( F @ X )
          = R )
       => ! [X2: nat] :
            ( ( member701585322at_nat @ ( product_Pair_nat_nat @ X @ X2 ) @ Ra )
           => ( member1330470160_nat_o @ ( produc1218908503_nat_o @ R @ ( F2 @ X2 ) ) @ Rr ) ) ) ) ).

% fun_relD1
thf(fact_35_fun__relD1,axiom,
    ! [F: int > int > $o,F2: int > int > $o,Ra: set_Pr1858794777nt_int,Rr: set_Pr94755271_int_o,X: int,R: int > $o] :
      ( ( member93171920_int_o @ ( produc1217921175_int_o @ F @ F2 ) @ ( relAPP556082542_int_o @ ( relAPP1052348760_int_o @ fun_re986858916_int_o @ Ra ) @ Rr ) )
     => ( ( ( F @ X )
          = R )
       => ! [X2: int] :
            ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ X2 ) @ Ra )
           => ( member2072375312_int_o @ ( produc2007676503_int_o @ R @ ( F2 @ X2 ) ) @ Rr ) ) ) ) ).

% fun_relD1
thf(fact_36_fun__relD1,axiom,
    ! [F: ( a > refine432681134nres_b ) > refine432681134nres_b,F2: ( c > refine449204144nres_d ) > refine449204144nres_d,Ra: set_Pr589481214nres_d,Rr: set_Pr1640496404nres_d,X: a > refine432681134nres_b,R: refine432681134nres_b] :
      ( ( member461830657nres_d @ ( produc2075136412nres_d @ F @ F2 ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ Ra ) @ Rr ) )
     => ( ( ( F @ X )
          = R )
       => ! [X2: c > refine449204144nres_d] :
            ( ( member936907743nres_d @ ( produc210841666nres_d @ X @ X2 ) @ Ra )
           => ( member1578111221nres_d @ ( produc2147164944nres_d @ R @ ( F2 @ X2 ) ) @ Rr ) ) ) ) ).

% fun_relD1
thf(fact_37_fun__relD1,axiom,
    ! [F: ( $o > $o ) > $o > $o,F2: ( $o > $o ) > $o > $o,Ra: set_Pr934623755_o_o_o,Rr: set_Pr934623755_o_o_o,X: $o > $o,R: $o > $o] :
      ( ( member1888652380_o_o_o @ ( produc1486173035_o_o_o @ F @ F2 ) @ ( relAPP1865476078_o_o_o @ ( relAPP704164370_o_o_o @ fun_re682130338_o_o_o @ Ra ) @ Rr ) )
     => ( ( ( F @ X )
          = R )
       => ! [X2: $o > $o] :
            ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X2 ) @ Ra )
           => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ R @ ( F2 @ X2 ) ) @ Rr ) ) ) ) ).

% fun_relD1
thf(fact_38_fun__relD1,axiom,
    ! [F: ( $o > $o ) > $o > $o > $o,F2: ( $o > $o ) > $o > $o > $o,Ra: set_Pr934623755_o_o_o,Rr: set_Pr618353415_o_o_o,X: $o > $o,R: $o > $o > $o] :
      ( ( member77287248_o_o_o @ ( produc618371095_o_o_o @ F @ F2 ) @ ( relAPP102288174_o_o_o @ ( relAPP200810762_o_o_o @ fun_re2101272022_o_o_o @ Ra ) @ Rr ) )
     => ( ( ( F @ X )
          = R )
       => ! [X2: $o > $o] :
            ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X2 ) @ Ra )
           => ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ R @ ( F2 @ X2 ) ) @ Rr ) ) ) ) ).

% fun_relD1
thf(fact_39_fun__relD1,axiom,
    ! [F: ( $o > $o ) > nat > nat > $o,F2: ( $o > $o ) > nat > nat > $o,Ra: set_Pr934623755_o_o_o,Rr: set_Pr1659864199_nat_o,X: $o > $o,R: nat > nat > $o] :
      ( ( member898353616_nat_o @ ( produc259148439_nat_o @ F @ F2 ) @ ( relAPP171453998_nat_o @ ( relAPP845892106_nat_o @ fun_re1012178006_nat_o @ Ra ) @ Rr ) )
     => ( ( ( F @ X )
          = R )
       => ! [X2: $o > $o] :
            ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X2 ) @ Ra )
           => ( member336854736_nat_o @ ( produc1593059991_nat_o @ R @ ( F2 @ X2 ) ) @ Rr ) ) ) ) ).

% fun_relD1
thf(fact_40_fun__relD2,axiom,
    ! [F: int > $o,F2: int > $o,Ra: set_Pr1858794777nt_int,Rr: set_Product_prod_o_o,X3: int,R2: $o] :
      ( ( member2072375312_int_o @ ( produc2007676503_int_o @ F @ F2 ) @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ Ra ) @ Rr ) )
     => ( ( ( F2 @ X3 )
          = R2 )
       => ! [X4: int] :
            ( ( member776767074nt_int @ ( product_Pair_int_int @ X4 @ X3 ) @ Ra )
           => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X4 ) @ R2 ) @ Rr ) ) ) ) ).

% fun_relD2
thf(fact_41_fun__relD2,axiom,
    ! [F: $o > $o,F2: $o > $o,Ra: set_Product_prod_o_o,Rr: set_Product_prod_o_o,X3: $o,R2: $o] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ F @ F2 ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ Ra ) @ Rr ) )
     => ( ( ( F2 @ X3 )
          = R2 )
       => ! [X4: $o] :
            ( ( member55945296od_o_o @ ( product_Pair_o_o @ X4 @ X3 ) @ Ra )
           => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X4 ) @ R2 ) @ Rr ) ) ) ) ).

% fun_relD2
thf(fact_42_fun__relD2,axiom,
    ! [F: a > refine432681134nres_b,F2: c > refine449204144nres_d,Ra: set_Product_prod_a_c,Rr: set_Pr1640496404nres_d,X3: c,R2: refine449204144nres_d] :
      ( ( member936907743nres_d @ ( produc210841666nres_d @ F @ F2 ) @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ Ra ) @ Rr ) )
     => ( ( ( F2 @ X3 )
          = R2 )
       => ! [X4: a] :
            ( ( member466432594od_a_c @ ( product_Pair_a_c @ X4 @ X3 ) @ Ra )
           => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F @ X4 ) @ R2 ) @ Rr ) ) ) ) ).

% fun_relD2
thf(fact_43_fun__relD2,axiom,
    ! [F: $o > $o > $o,F2: $o > $o > $o,Ra: set_Product_prod_o_o,Rr: set_Pr934623755_o_o_o,X3: $o,R2: $o > $o] :
      ( ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ F @ F2 ) @ ( relAPP2105552994_o_o_o @ ( relAPP1591113530_o_o_o @ fun_rel_o_o_o_o_o_o @ Ra ) @ Rr ) )
     => ( ( ( F2 @ X3 )
          = R2 )
       => ! [X4: $o] :
            ( ( member55945296od_o_o @ ( product_Pair_o_o @ X4 @ X3 ) @ Ra )
           => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X4 ) @ R2 ) @ Rr ) ) ) ) ).

% fun_relD2
thf(fact_44_fun__relD2,axiom,
    ! [F: nat > nat > $o,F2: nat > nat > $o,Ra: set_Pr1986765409at_nat,Rr: set_Pr310822599_nat_o,X3: nat,R2: nat > $o] :
      ( ( member336854736_nat_o @ ( produc1593059991_nat_o @ F @ F2 ) @ ( relAPP432724078_nat_o @ ( relAPP1989008800_nat_o @ fun_re1770844140_nat_o @ Ra ) @ Rr ) )
     => ( ( ( F2 @ X3 )
          = R2 )
       => ! [X4: nat] :
            ( ( member701585322at_nat @ ( product_Pair_nat_nat @ X4 @ X3 ) @ Ra )
           => ( member1330470160_nat_o @ ( produc1218908503_nat_o @ ( F @ X4 ) @ R2 ) @ Rr ) ) ) ) ).

% fun_relD2
thf(fact_45_fun__relD2,axiom,
    ! [F: int > int > $o,F2: int > int > $o,Ra: set_Pr1858794777nt_int,Rr: set_Pr94755271_int_o,X3: int,R2: int > $o] :
      ( ( member93171920_int_o @ ( produc1217921175_int_o @ F @ F2 ) @ ( relAPP556082542_int_o @ ( relAPP1052348760_int_o @ fun_re986858916_int_o @ Ra ) @ Rr ) )
     => ( ( ( F2 @ X3 )
          = R2 )
       => ! [X4: int] :
            ( ( member776767074nt_int @ ( product_Pair_int_int @ X4 @ X3 ) @ Ra )
           => ( member2072375312_int_o @ ( produc2007676503_int_o @ ( F @ X4 ) @ R2 ) @ Rr ) ) ) ) ).

% fun_relD2
thf(fact_46_fun__relD2,axiom,
    ! [F: ( a > refine432681134nres_b ) > refine432681134nres_b,F2: ( c > refine449204144nres_d ) > refine449204144nres_d,Ra: set_Pr589481214nres_d,Rr: set_Pr1640496404nres_d,X3: c > refine449204144nres_d,R2: refine449204144nres_d] :
      ( ( member461830657nres_d @ ( produc2075136412nres_d @ F @ F2 ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ Ra ) @ Rr ) )
     => ( ( ( F2 @ X3 )
          = R2 )
       => ! [X4: a > refine432681134nres_b] :
            ( ( member936907743nres_d @ ( produc210841666nres_d @ X4 @ X3 ) @ Ra )
           => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F @ X4 ) @ R2 ) @ Rr ) ) ) ) ).

% fun_relD2
thf(fact_47_fun__relD2,axiom,
    ! [F: ( $o > $o ) > $o > $o,F2: ( $o > $o ) > $o > $o,Ra: set_Pr934623755_o_o_o,Rr: set_Pr934623755_o_o_o,X3: $o > $o,R2: $o > $o] :
      ( ( member1888652380_o_o_o @ ( produc1486173035_o_o_o @ F @ F2 ) @ ( relAPP1865476078_o_o_o @ ( relAPP704164370_o_o_o @ fun_re682130338_o_o_o @ Ra ) @ Rr ) )
     => ( ( ( F2 @ X3 )
          = R2 )
       => ! [X4: $o > $o] :
            ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X4 @ X3 ) @ Ra )
           => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X4 ) @ R2 ) @ Rr ) ) ) ) ).

% fun_relD2
thf(fact_48_fun__relD2,axiom,
    ! [F: ( $o > $o ) > $o > $o > $o,F2: ( $o > $o ) > $o > $o > $o,Ra: set_Pr934623755_o_o_o,Rr: set_Pr618353415_o_o_o,X3: $o > $o,R2: $o > $o > $o] :
      ( ( member77287248_o_o_o @ ( produc618371095_o_o_o @ F @ F2 ) @ ( relAPP102288174_o_o_o @ ( relAPP200810762_o_o_o @ fun_re2101272022_o_o_o @ Ra ) @ Rr ) )
     => ( ( ( F2 @ X3 )
          = R2 )
       => ! [X4: $o > $o] :
            ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X4 @ X3 ) @ Ra )
           => ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ ( F @ X4 ) @ R2 ) @ Rr ) ) ) ) ).

% fun_relD2
thf(fact_49_fun__relD2,axiom,
    ! [F: ( $o > $o ) > nat > nat > $o,F2: ( $o > $o ) > nat > nat > $o,Ra: set_Pr934623755_o_o_o,Rr: set_Pr1659864199_nat_o,X3: $o > $o,R2: nat > nat > $o] :
      ( ( member898353616_nat_o @ ( produc259148439_nat_o @ F @ F2 ) @ ( relAPP171453998_nat_o @ ( relAPP845892106_nat_o @ fun_re1012178006_nat_o @ Ra ) @ Rr ) )
     => ( ( ( F2 @ X3 )
          = R2 )
       => ! [X4: $o > $o] :
            ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X4 @ X3 ) @ Ra )
           => ( member336854736_nat_o @ ( produc1593059991_nat_o @ ( F @ X4 ) @ R2 ) @ Rr ) ) ) ) ).

% fun_relD2
thf(fact_50_tagged__fun__relD__lhs,axiom,
    ! [F: int > $o,F2: int > $o,A: set_Pr1858794777nt_int,B: set_Product_prod_o_o,X: int,X3: int] :
      ( ( member2072375312_int_o @ ( produc2007676503_int_o @ F @ F2 ) @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ A ) @ B ) )
     => ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ X3 ) @ A )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_lhs
thf(fact_51_tagged__fun__relD__lhs,axiom,
    ! [F: $o > $o,F2: $o > $o,A: set_Product_prod_o_o,B: set_Product_prod_o_o,X: $o,X3: $o] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ F @ F2 ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ A ) @ B ) )
     => ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ X3 ) @ A )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_lhs
thf(fact_52_tagged__fun__relD__lhs,axiom,
    ! [F: a > refine432681134nres_b,F2: c > refine449204144nres_d,A: set_Product_prod_a_c,B: set_Pr1640496404nres_d,X: a,X3: c] :
      ( ( member936907743nres_d @ ( produc210841666nres_d @ F @ F2 ) @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ A ) @ B ) )
     => ( ( member466432594od_a_c @ ( product_Pair_a_c @ X @ X3 ) @ A )
       => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_lhs
thf(fact_53_tagged__fun__relD__lhs,axiom,
    ! [F: $o > $o > $o,F2: $o > $o > $o,A: set_Product_prod_o_o,B: set_Pr934623755_o_o_o,X: $o,X3: $o] :
      ( ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ F @ F2 ) @ ( relAPP2105552994_o_o_o @ ( relAPP1591113530_o_o_o @ fun_rel_o_o_o_o_o_o @ A ) @ B ) )
     => ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ X3 ) @ A )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_lhs
thf(fact_54_tagged__fun__relD__lhs,axiom,
    ! [F: nat > nat > $o,F2: nat > nat > $o,A: set_Pr1986765409at_nat,B: set_Pr310822599_nat_o,X: nat,X3: nat] :
      ( ( member336854736_nat_o @ ( produc1593059991_nat_o @ F @ F2 ) @ ( relAPP432724078_nat_o @ ( relAPP1989008800_nat_o @ fun_re1770844140_nat_o @ A ) @ B ) )
     => ( ( member701585322at_nat @ ( product_Pair_nat_nat @ X @ X3 ) @ A )
       => ( member1330470160_nat_o @ ( produc1218908503_nat_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_lhs
thf(fact_55_tagged__fun__relD__lhs,axiom,
    ! [F: int > int > $o,F2: int > int > $o,A: set_Pr1858794777nt_int,B: set_Pr94755271_int_o,X: int,X3: int] :
      ( ( member93171920_int_o @ ( produc1217921175_int_o @ F @ F2 ) @ ( relAPP556082542_int_o @ ( relAPP1052348760_int_o @ fun_re986858916_int_o @ A ) @ B ) )
     => ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ X3 ) @ A )
       => ( member2072375312_int_o @ ( produc2007676503_int_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_lhs
thf(fact_56_tagged__fun__relD__lhs,axiom,
    ! [F: ( a > refine432681134nres_b ) > refine432681134nres_b,F2: ( c > refine449204144nres_d ) > refine449204144nres_d,A: set_Pr589481214nres_d,B: set_Pr1640496404nres_d,X: a > refine432681134nres_b,X3: c > refine449204144nres_d] :
      ( ( member461830657nres_d @ ( produc2075136412nres_d @ F @ F2 ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ A ) @ B ) )
     => ( ( member936907743nres_d @ ( produc210841666nres_d @ X @ X3 ) @ A )
       => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_lhs
thf(fact_57_tagged__fun__relD__lhs,axiom,
    ! [F: ( $o > $o ) > $o > $o,F2: ( $o > $o ) > $o > $o,A: set_Pr934623755_o_o_o,B: set_Pr934623755_o_o_o,X: $o > $o,X3: $o > $o] :
      ( ( member1888652380_o_o_o @ ( produc1486173035_o_o_o @ F @ F2 ) @ ( relAPP1865476078_o_o_o @ ( relAPP704164370_o_o_o @ fun_re682130338_o_o_o @ A ) @ B ) )
     => ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X3 ) @ A )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_lhs
thf(fact_58_tagged__fun__relD__lhs,axiom,
    ! [F: ( $o > $o ) > $o > $o > $o,F2: ( $o > $o ) > $o > $o > $o,A: set_Pr934623755_o_o_o,B: set_Pr618353415_o_o_o,X: $o > $o,X3: $o > $o] :
      ( ( member77287248_o_o_o @ ( produc618371095_o_o_o @ F @ F2 ) @ ( relAPP102288174_o_o_o @ ( relAPP200810762_o_o_o @ fun_re2101272022_o_o_o @ A ) @ B ) )
     => ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X3 ) @ A )
       => ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_lhs
thf(fact_59_tagged__fun__relD__lhs,axiom,
    ! [F: ( $o > $o ) > nat > nat > $o,F2: ( $o > $o ) > nat > nat > $o,A: set_Pr934623755_o_o_o,B: set_Pr1659864199_nat_o,X: $o > $o,X3: $o > $o] :
      ( ( member898353616_nat_o @ ( produc259148439_nat_o @ F @ F2 ) @ ( relAPP171453998_nat_o @ ( relAPP845892106_nat_o @ fun_re1012178006_nat_o @ A ) @ B ) )
     => ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X3 ) @ A )
       => ( member336854736_nat_o @ ( produc1593059991_nat_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_lhs
thf(fact_60_tagged__fun__relD__rhs,axiom,
    ! [F: int > $o,F2: int > $o,A: set_Pr1858794777nt_int,B: set_Product_prod_o_o,X: int,X3: int] :
      ( ( member2072375312_int_o @ ( produc2007676503_int_o @ F @ F2 ) @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ A ) @ B ) )
     => ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ X3 ) @ A )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_rhs
thf(fact_61_tagged__fun__relD__rhs,axiom,
    ! [F: $o > $o,F2: $o > $o,A: set_Product_prod_o_o,B: set_Product_prod_o_o,X: $o,X3: $o] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ F @ F2 ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ A ) @ B ) )
     => ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ X3 ) @ A )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_rhs
thf(fact_62_tagged__fun__relD__rhs,axiom,
    ! [F: a > refine432681134nres_b,F2: c > refine449204144nres_d,A: set_Product_prod_a_c,B: set_Pr1640496404nres_d,X: a,X3: c] :
      ( ( member936907743nres_d @ ( produc210841666nres_d @ F @ F2 ) @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ A ) @ B ) )
     => ( ( member466432594od_a_c @ ( product_Pair_a_c @ X @ X3 ) @ A )
       => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_rhs
thf(fact_63_tagged__fun__relD__rhs,axiom,
    ! [F: $o > $o > $o,F2: $o > $o > $o,A: set_Product_prod_o_o,B: set_Pr934623755_o_o_o,X: $o,X3: $o] :
      ( ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ F @ F2 ) @ ( relAPP2105552994_o_o_o @ ( relAPP1591113530_o_o_o @ fun_rel_o_o_o_o_o_o @ A ) @ B ) )
     => ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ X3 ) @ A )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_rhs
thf(fact_64_tagged__fun__relD__rhs,axiom,
    ! [F: nat > nat > $o,F2: nat > nat > $o,A: set_Pr1986765409at_nat,B: set_Pr310822599_nat_o,X: nat,X3: nat] :
      ( ( member336854736_nat_o @ ( produc1593059991_nat_o @ F @ F2 ) @ ( relAPP432724078_nat_o @ ( relAPP1989008800_nat_o @ fun_re1770844140_nat_o @ A ) @ B ) )
     => ( ( member701585322at_nat @ ( product_Pair_nat_nat @ X @ X3 ) @ A )
       => ( member1330470160_nat_o @ ( produc1218908503_nat_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_rhs
thf(fact_65_tagged__fun__relD__rhs,axiom,
    ! [F: int > int > $o,F2: int > int > $o,A: set_Pr1858794777nt_int,B: set_Pr94755271_int_o,X: int,X3: int] :
      ( ( member93171920_int_o @ ( produc1217921175_int_o @ F @ F2 ) @ ( relAPP556082542_int_o @ ( relAPP1052348760_int_o @ fun_re986858916_int_o @ A ) @ B ) )
     => ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ X3 ) @ A )
       => ( member2072375312_int_o @ ( produc2007676503_int_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_rhs
thf(fact_66_tagged__fun__relD__rhs,axiom,
    ! [F: ( a > refine432681134nres_b ) > refine432681134nres_b,F2: ( c > refine449204144nres_d ) > refine449204144nres_d,A: set_Pr589481214nres_d,B: set_Pr1640496404nres_d,X: a > refine432681134nres_b,X3: c > refine449204144nres_d] :
      ( ( member461830657nres_d @ ( produc2075136412nres_d @ F @ F2 ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ A ) @ B ) )
     => ( ( member936907743nres_d @ ( produc210841666nres_d @ X @ X3 ) @ A )
       => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_rhs
thf(fact_67_tagged__fun__relD__rhs,axiom,
    ! [F: ( $o > $o ) > $o > $o,F2: ( $o > $o ) > $o > $o,A: set_Pr934623755_o_o_o,B: set_Pr934623755_o_o_o,X: $o > $o,X3: $o > $o] :
      ( ( member1888652380_o_o_o @ ( produc1486173035_o_o_o @ F @ F2 ) @ ( relAPP1865476078_o_o_o @ ( relAPP704164370_o_o_o @ fun_re682130338_o_o_o @ A ) @ B ) )
     => ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X3 ) @ A )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_rhs
thf(fact_68_tagged__fun__relD__rhs,axiom,
    ! [F: ( $o > $o ) > $o > $o > $o,F2: ( $o > $o ) > $o > $o > $o,A: set_Pr934623755_o_o_o,B: set_Pr618353415_o_o_o,X: $o > $o,X3: $o > $o] :
      ( ( member77287248_o_o_o @ ( produc618371095_o_o_o @ F @ F2 ) @ ( relAPP102288174_o_o_o @ ( relAPP200810762_o_o_o @ fun_re2101272022_o_o_o @ A ) @ B ) )
     => ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X3 ) @ A )
       => ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_rhs
thf(fact_69_tagged__fun__relD__rhs,axiom,
    ! [F: ( $o > $o ) > nat > nat > $o,F2: ( $o > $o ) > nat > nat > $o,A: set_Pr934623755_o_o_o,B: set_Pr1659864199_nat_o,X: $o > $o,X3: $o > $o] :
      ( ( member898353616_nat_o @ ( produc259148439_nat_o @ F @ F2 ) @ ( relAPP171453998_nat_o @ ( relAPP845892106_nat_o @ fun_re1012178006_nat_o @ A ) @ B ) )
     => ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X3 ) @ A )
       => ( member336854736_nat_o @ ( produc1593059991_nat_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_rhs
thf(fact_70_tagged__fun__relD__both,axiom,
    ! [F: int > $o,F2: int > $o,A: set_Pr1858794777nt_int,B: set_Product_prod_o_o,X: int,X3: int] :
      ( ( member2072375312_int_o @ ( produc2007676503_int_o @ F @ F2 ) @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ A ) @ B ) )
     => ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ X3 ) @ A )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_both
thf(fact_71_tagged__fun__relD__both,axiom,
    ! [F: $o > $o,F2: $o > $o,A: set_Product_prod_o_o,B: set_Product_prod_o_o,X: $o,X3: $o] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ F @ F2 ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ A ) @ B ) )
     => ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ X3 ) @ A )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_both
thf(fact_72_tagged__fun__relD__both,axiom,
    ! [F: a > refine432681134nres_b,F2: c > refine449204144nres_d,A: set_Product_prod_a_c,B: set_Pr1640496404nres_d,X: a,X3: c] :
      ( ( member936907743nres_d @ ( produc210841666nres_d @ F @ F2 ) @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ A ) @ B ) )
     => ( ( member466432594od_a_c @ ( product_Pair_a_c @ X @ X3 ) @ A )
       => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_both
thf(fact_73_tagged__fun__relD__both,axiom,
    ! [F: $o > $o > $o,F2: $o > $o > $o,A: set_Product_prod_o_o,B: set_Pr934623755_o_o_o,X: $o,X3: $o] :
      ( ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ F @ F2 ) @ ( relAPP2105552994_o_o_o @ ( relAPP1591113530_o_o_o @ fun_rel_o_o_o_o_o_o @ A ) @ B ) )
     => ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ X3 ) @ A )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_both
thf(fact_74_tagged__fun__relD__both,axiom,
    ! [F: nat > nat > $o,F2: nat > nat > $o,A: set_Pr1986765409at_nat,B: set_Pr310822599_nat_o,X: nat,X3: nat] :
      ( ( member336854736_nat_o @ ( produc1593059991_nat_o @ F @ F2 ) @ ( relAPP432724078_nat_o @ ( relAPP1989008800_nat_o @ fun_re1770844140_nat_o @ A ) @ B ) )
     => ( ( member701585322at_nat @ ( product_Pair_nat_nat @ X @ X3 ) @ A )
       => ( member1330470160_nat_o @ ( produc1218908503_nat_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_both
thf(fact_75_tagged__fun__relD__both,axiom,
    ! [F: int > int > $o,F2: int > int > $o,A: set_Pr1858794777nt_int,B: set_Pr94755271_int_o,X: int,X3: int] :
      ( ( member93171920_int_o @ ( produc1217921175_int_o @ F @ F2 ) @ ( relAPP556082542_int_o @ ( relAPP1052348760_int_o @ fun_re986858916_int_o @ A ) @ B ) )
     => ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ X3 ) @ A )
       => ( member2072375312_int_o @ ( produc2007676503_int_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_both
thf(fact_76_tagged__fun__relD__both,axiom,
    ! [F: ( a > refine432681134nres_b ) > refine432681134nres_b,F2: ( c > refine449204144nres_d ) > refine449204144nres_d,A: set_Pr589481214nres_d,B: set_Pr1640496404nres_d,X: a > refine432681134nres_b,X3: c > refine449204144nres_d] :
      ( ( member461830657nres_d @ ( produc2075136412nres_d @ F @ F2 ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ A ) @ B ) )
     => ( ( member936907743nres_d @ ( produc210841666nres_d @ X @ X3 ) @ A )
       => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_both
thf(fact_77_tagged__fun__relD__both,axiom,
    ! [F: ( $o > $o ) > $o > $o,F2: ( $o > $o ) > $o > $o,A: set_Pr934623755_o_o_o,B: set_Pr934623755_o_o_o,X: $o > $o,X3: $o > $o] :
      ( ( member1888652380_o_o_o @ ( produc1486173035_o_o_o @ F @ F2 ) @ ( relAPP1865476078_o_o_o @ ( relAPP704164370_o_o_o @ fun_re682130338_o_o_o @ A ) @ B ) )
     => ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X3 ) @ A )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_both
thf(fact_78_tagged__fun__relD__both,axiom,
    ! [F: ( $o > $o ) > $o > $o > $o,F2: ( $o > $o ) > $o > $o > $o,A: set_Pr934623755_o_o_o,B: set_Pr618353415_o_o_o,X: $o > $o,X3: $o > $o] :
      ( ( member77287248_o_o_o @ ( produc618371095_o_o_o @ F @ F2 ) @ ( relAPP102288174_o_o_o @ ( relAPP200810762_o_o_o @ fun_re2101272022_o_o_o @ A ) @ B ) )
     => ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X3 ) @ A )
       => ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_both
thf(fact_79_tagged__fun__relD__both,axiom,
    ! [F: ( $o > $o ) > nat > nat > $o,F2: ( $o > $o ) > nat > nat > $o,A: set_Pr934623755_o_o_o,B: set_Pr1659864199_nat_o,X: $o > $o,X3: $o > $o] :
      ( ( member898353616_nat_o @ ( produc259148439_nat_o @ F @ F2 ) @ ( relAPP171453998_nat_o @ ( relAPP845892106_nat_o @ fun_re1012178006_nat_o @ A ) @ B ) )
     => ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X3 ) @ A )
       => ( member336854736_nat_o @ ( produc1593059991_nat_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_both
thf(fact_80_tagged__fun__relD__none,axiom,
    ! [F: int > $o,F2: int > $o,A: set_Pr1858794777nt_int,B: set_Product_prod_o_o,X: int,X3: int] :
      ( ( member2072375312_int_o @ ( produc2007676503_int_o @ F @ F2 ) @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ A ) @ B ) )
     => ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ X3 ) @ A )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_none
thf(fact_81_tagged__fun__relD__none,axiom,
    ! [F: $o > $o,F2: $o > $o,A: set_Product_prod_o_o,B: set_Product_prod_o_o,X: $o,X3: $o] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ F @ F2 ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ A ) @ B ) )
     => ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ X3 ) @ A )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_none
thf(fact_82_tagged__fun__relD__none,axiom,
    ! [F: a > refine432681134nres_b,F2: c > refine449204144nres_d,A: set_Product_prod_a_c,B: set_Pr1640496404nres_d,X: a,X3: c] :
      ( ( member936907743nres_d @ ( produc210841666nres_d @ F @ F2 ) @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ A ) @ B ) )
     => ( ( member466432594od_a_c @ ( product_Pair_a_c @ X @ X3 ) @ A )
       => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_none
thf(fact_83_tagged__fun__relD__none,axiom,
    ! [F: $o > $o > $o,F2: $o > $o > $o,A: set_Product_prod_o_o,B: set_Pr934623755_o_o_o,X: $o,X3: $o] :
      ( ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ F @ F2 ) @ ( relAPP2105552994_o_o_o @ ( relAPP1591113530_o_o_o @ fun_rel_o_o_o_o_o_o @ A ) @ B ) )
     => ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ X3 ) @ A )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_none
thf(fact_84_tagged__fun__relD__none,axiom,
    ! [F: nat > nat > $o,F2: nat > nat > $o,A: set_Pr1986765409at_nat,B: set_Pr310822599_nat_o,X: nat,X3: nat] :
      ( ( member336854736_nat_o @ ( produc1593059991_nat_o @ F @ F2 ) @ ( relAPP432724078_nat_o @ ( relAPP1989008800_nat_o @ fun_re1770844140_nat_o @ A ) @ B ) )
     => ( ( member701585322at_nat @ ( product_Pair_nat_nat @ X @ X3 ) @ A )
       => ( member1330470160_nat_o @ ( produc1218908503_nat_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_none
thf(fact_85_tagged__fun__relD__none,axiom,
    ! [F: int > int > $o,F2: int > int > $o,A: set_Pr1858794777nt_int,B: set_Pr94755271_int_o,X: int,X3: int] :
      ( ( member93171920_int_o @ ( produc1217921175_int_o @ F @ F2 ) @ ( relAPP556082542_int_o @ ( relAPP1052348760_int_o @ fun_re986858916_int_o @ A ) @ B ) )
     => ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ X3 ) @ A )
       => ( member2072375312_int_o @ ( produc2007676503_int_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_none
thf(fact_86_tagged__fun__relD__none,axiom,
    ! [F: ( a > refine432681134nres_b ) > refine432681134nres_b,F2: ( c > refine449204144nres_d ) > refine449204144nres_d,A: set_Pr589481214nres_d,B: set_Pr1640496404nres_d,X: a > refine432681134nres_b,X3: c > refine449204144nres_d] :
      ( ( member461830657nres_d @ ( produc2075136412nres_d @ F @ F2 ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ A ) @ B ) )
     => ( ( member936907743nres_d @ ( produc210841666nres_d @ X @ X3 ) @ A )
       => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_none
thf(fact_87_tagged__fun__relD__none,axiom,
    ! [F: ( $o > $o ) > $o > $o,F2: ( $o > $o ) > $o > $o,A: set_Pr934623755_o_o_o,B: set_Pr934623755_o_o_o,X: $o > $o,X3: $o > $o] :
      ( ( member1888652380_o_o_o @ ( produc1486173035_o_o_o @ F @ F2 ) @ ( relAPP1865476078_o_o_o @ ( relAPP704164370_o_o_o @ fun_re682130338_o_o_o @ A ) @ B ) )
     => ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X3 ) @ A )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_none
thf(fact_88_tagged__fun__relD__none,axiom,
    ! [F: ( $o > $o ) > $o > $o > $o,F2: ( $o > $o ) > $o > $o > $o,A: set_Pr934623755_o_o_o,B: set_Pr618353415_o_o_o,X: $o > $o,X3: $o > $o] :
      ( ( member77287248_o_o_o @ ( produc618371095_o_o_o @ F @ F2 ) @ ( relAPP102288174_o_o_o @ ( relAPP200810762_o_o_o @ fun_re2101272022_o_o_o @ A ) @ B ) )
     => ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X3 ) @ A )
       => ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_none
thf(fact_89_tagged__fun__relD__none,axiom,
    ! [F: ( $o > $o ) > nat > nat > $o,F2: ( $o > $o ) > nat > nat > $o,A: set_Pr934623755_o_o_o,B: set_Pr1659864199_nat_o,X: $o > $o,X3: $o > $o] :
      ( ( member898353616_nat_o @ ( produc259148439_nat_o @ F @ F2 ) @ ( relAPP171453998_nat_o @ ( relAPP845892106_nat_o @ fun_re1012178006_nat_o @ A ) @ B ) )
     => ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X3 ) @ A )
       => ( member336854736_nat_o @ ( produc1593059991_nat_o @ ( F @ X ) @ ( F2 @ X3 ) ) @ B ) ) ) ).

% tagged_fun_relD_none
thf(fact_90_prod_Oinject,axiom,
    ! [X1: ( a > refine432681134nres_b ) > refine432681134nres_b,X22: ( c > refine449204144nres_d ) > refine449204144nres_d,Y1: ( a > refine432681134nres_b ) > refine432681134nres_b,Y2: ( c > refine449204144nres_d ) > refine449204144nres_d] :
      ( ( ( produc2075136412nres_d @ X1 @ X22 )
        = ( produc2075136412nres_d @ Y1 @ Y2 ) )
      = ( ( X1 = Y1 )
        & ( X22 = Y2 ) ) ) ).

% prod.inject
thf(fact_91_prod_Oinject,axiom,
    ! [X1: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b,X22: ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d,Y1: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b,Y2: ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d] :
      ( ( ( produc1910095910nres_d @ X1 @ X22 )
        = ( produc1910095910nres_d @ Y1 @ Y2 ) )
      = ( ( X1 = Y1 )
        & ( X22 = Y2 ) ) ) ).

% prod.inject
thf(fact_92_prod_Oinject,axiom,
    ! [X1: a > refine432681134nres_b,X22: c > refine449204144nres_d,Y1: a > refine432681134nres_b,Y2: c > refine449204144nres_d] :
      ( ( ( produc210841666nres_d @ X1 @ X22 )
        = ( produc210841666nres_d @ Y1 @ Y2 ) )
      = ( ( X1 = Y1 )
        & ( X22 = Y2 ) ) ) ).

% prod.inject
thf(fact_93_prod_Oinject,axiom,
    ! [X1: a > ( a > refine432681134nres_b ) > refine432681134nres_b,X22: c > ( c > refine449204144nres_d ) > refine449204144nres_d,Y1: a > ( a > refine432681134nres_b ) > refine432681134nres_b,Y2: c > ( c > refine449204144nres_d ) > refine449204144nres_d] :
      ( ( ( produc627868012nres_d @ X1 @ X22 )
        = ( produc627868012nres_d @ Y1 @ Y2 ) )
      = ( ( X1 = Y1 )
        & ( X22 = Y2 ) ) ) ).

% prod.inject
thf(fact_94_prod_Oinject,axiom,
    ! [X1: a,X22: c,Y1: a,Y2: c] :
      ( ( ( product_Pair_a_c @ X1 @ X22 )
        = ( product_Pair_a_c @ Y1 @ Y2 ) )
      = ( ( X1 = Y1 )
        & ( X22 = Y2 ) ) ) ).

% prod.inject
thf(fact_95_prod_Oinject,axiom,
    ! [X1: $o > $o,X22: $o > $o,Y1: $o > $o,Y2: $o > $o] :
      ( ( ( product_Pair_o_o_o_o @ X1 @ X22 )
        = ( product_Pair_o_o_o_o @ Y1 @ Y2 ) )
      = ( ( X1 = Y1 )
        & ( X22 = Y2 ) ) ) ).

% prod.inject
thf(fact_96_prod_Oinject,axiom,
    ! [X1: $o > $o > $o,X22: $o > $o > $o,Y1: $o > $o > $o,Y2: $o > $o > $o] :
      ( ( ( produc1847874839_o_o_o @ X1 @ X22 )
        = ( produc1847874839_o_o_o @ Y1 @ Y2 ) )
      = ( ( X1 = Y1 )
        & ( X22 = Y2 ) ) ) ).

% prod.inject
thf(fact_97_prod_Oinject,axiom,
    ! [X1: nat > nat > $o,X22: nat > nat > $o,Y1: nat > nat > $o,Y2: nat > nat > $o] :
      ( ( ( produc1593059991_nat_o @ X1 @ X22 )
        = ( produc1593059991_nat_o @ Y1 @ Y2 ) )
      = ( ( X1 = Y1 )
        & ( X22 = Y2 ) ) ) ).

% prod.inject
thf(fact_98_prod_Oinject,axiom,
    ! [X1: int > int > $o,X22: int > int > $o,Y1: int > int > $o,Y2: int > int > $o] :
      ( ( ( produc1217921175_int_o @ X1 @ X22 )
        = ( produc1217921175_int_o @ Y1 @ Y2 ) )
      = ( ( X1 = Y1 )
        & ( X22 = Y2 ) ) ) ).

% prod.inject
thf(fact_99_prod_Oinject,axiom,
    ! [X1: ( nat > $o ) > nat > nat > $o,X22: ( nat > $o ) > nat > nat > $o,Y1: ( nat > $o ) > nat > nat > $o,Y2: ( nat > $o ) > nat > nat > $o] :
      ( ( ( produc1206080049_nat_o @ X1 @ X22 )
        = ( produc1206080049_nat_o @ Y1 @ Y2 ) )
      = ( ( X1 = Y1 )
        & ( X22 = Y2 ) ) ) ).

% prod.inject
thf(fact_100_old_Oprod_Oinject,axiom,
    ! [A4: $o > $o,B2: $o > $o,A5: $o > $o,B3: $o > $o] :
      ( ( ( product_Pair_o_o_o_o @ A4 @ B2 )
        = ( product_Pair_o_o_o_o @ A5 @ B3 ) )
      = ( ( A4 = A5 )
        & ( B2 = B3 ) ) ) ).

% old.prod.inject
thf(fact_101_old_Oprod_Oinject,axiom,
    ! [A4: $o > $o > $o,B2: $o > $o > $o,A5: $o > $o > $o,B3: $o > $o > $o] :
      ( ( ( produc1847874839_o_o_o @ A4 @ B2 )
        = ( produc1847874839_o_o_o @ A5 @ B3 ) )
      = ( ( A4 = A5 )
        & ( B2 = B3 ) ) ) ).

% old.prod.inject
thf(fact_102_old_Oprod_Oinject,axiom,
    ! [A4: nat > nat > $o,B2: nat > nat > $o,A5: nat > nat > $o,B3: nat > nat > $o] :
      ( ( ( produc1593059991_nat_o @ A4 @ B2 )
        = ( produc1593059991_nat_o @ A5 @ B3 ) )
      = ( ( A4 = A5 )
        & ( B2 = B3 ) ) ) ).

% old.prod.inject
thf(fact_103_old_Oprod_Oinject,axiom,
    ! [A4: int > int > $o,B2: int > int > $o,A5: int > int > $o,B3: int > int > $o] :
      ( ( ( produc1217921175_int_o @ A4 @ B2 )
        = ( produc1217921175_int_o @ A5 @ B3 ) )
      = ( ( A4 = A5 )
        & ( B2 = B3 ) ) ) ).

% old.prod.inject
thf(fact_104_old_Oprod_Oinject,axiom,
    ! [A4: ( nat > $o ) > nat > nat > $o,B2: ( nat > $o ) > nat > nat > $o,A5: ( nat > $o ) > nat > nat > $o,B3: ( nat > $o ) > nat > nat > $o] :
      ( ( ( produc1206080049_nat_o @ A4 @ B2 )
        = ( produc1206080049_nat_o @ A5 @ B3 ) )
      = ( ( A4 = A5 )
        & ( B2 = B3 ) ) ) ).

% old.prod.inject
thf(fact_105_old_Oprod_Oinject,axiom,
    ! [A4: ( a > refine432681134nres_b ) > refine432681134nres_b,B2: ( c > refine449204144nres_d ) > refine449204144nres_d,A5: ( a > refine432681134nres_b ) > refine432681134nres_b,B3: ( c > refine449204144nres_d ) > refine449204144nres_d] :
      ( ( ( produc2075136412nres_d @ A4 @ B2 )
        = ( produc2075136412nres_d @ A5 @ B3 ) )
      = ( ( A4 = A5 )
        & ( B2 = B3 ) ) ) ).

% old.prod.inject
thf(fact_106_old_Oprod_Oinject,axiom,
    ! [A4: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b,B2: ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d,A5: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b,B3: ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d] :
      ( ( ( produc1910095910nres_d @ A4 @ B2 )
        = ( produc1910095910nres_d @ A5 @ B3 ) )
      = ( ( A4 = A5 )
        & ( B2 = B3 ) ) ) ).

% old.prod.inject
thf(fact_107_old_Oprod_Oinject,axiom,
    ! [A4: a > refine432681134nres_b,B2: c > refine449204144nres_d,A5: a > refine432681134nres_b,B3: c > refine449204144nres_d] :
      ( ( ( produc210841666nres_d @ A4 @ B2 )
        = ( produc210841666nres_d @ A5 @ B3 ) )
      = ( ( A4 = A5 )
        & ( B2 = B3 ) ) ) ).

% old.prod.inject
thf(fact_108_old_Oprod_Oinject,axiom,
    ! [A4: a > ( a > refine432681134nres_b ) > refine432681134nres_b,B2: c > ( c > refine449204144nres_d ) > refine449204144nres_d,A5: a > ( a > refine432681134nres_b ) > refine432681134nres_b,B3: c > ( c > refine449204144nres_d ) > refine449204144nres_d] :
      ( ( ( produc627868012nres_d @ A4 @ B2 )
        = ( produc627868012nres_d @ A5 @ B3 ) )
      = ( ( A4 = A5 )
        & ( B2 = B3 ) ) ) ).

% old.prod.inject
thf(fact_109_old_Oprod_Oinject,axiom,
    ! [A4: a,B2: c,A5: a,B3: c] :
      ( ( ( product_Pair_a_c @ A4 @ B2 )
        = ( product_Pair_a_c @ A5 @ B3 ) )
      = ( ( A4 = A5 )
        & ( B2 = B3 ) ) ) ).

% old.prod.inject
thf(fact_110_autoref__APP,axiom,
    ! [C: int > $o,A4: int > $o,Ra: set_Pr1858794777nt_int,Rr: set_Product_prod_o_o,X: int,X3: int] :
      ( ( member2072375312_int_o @ ( produc2007676503_int_o @ C @ A4 ) @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ Ra ) @ Rr ) )
     => ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ X3 ) @ Ra )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( autoref_APP_int_o @ C @ X ) @ ( autoref_APP_int_o @ A4 @ X3 ) ) @ Rr ) ) ) ).

% autoref_APP
thf(fact_111_autoref__APP,axiom,
    ! [C: a > a,A4: c > c,Ra: set_Product_prod_a_c,Rr: set_Product_prod_a_c,X: a,X3: c] :
      ( ( member1010099668_a_c_c @ ( product_Pair_a_a_c_c @ C @ A4 ) @ ( relAPP237429680_a_c_c @ ( relAPP887115074_a_c_c @ fun_rel_a_c_a_c @ Ra ) @ Rr ) )
     => ( ( member466432594od_a_c @ ( product_Pair_a_c @ X @ X3 ) @ Ra )
       => ( member466432594od_a_c @ ( product_Pair_a_c @ ( autoref_APP_a_a @ C @ X ) @ ( autoref_APP_c_c @ A4 @ X3 ) ) @ Rr ) ) ) ).

% autoref_APP
thf(fact_112_autoref__APP,axiom,
    ! [C: $o > $o,A4: $o > $o,Ra: set_Product_prod_o_o,Rr: set_Product_prod_o_o,X: $o,X3: $o] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ C @ A4 ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ Ra ) @ Rr ) )
     => ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ X3 ) @ Ra )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( autoref_APP_o_o @ C @ X ) @ ( autoref_APP_o_o @ A4 @ X3 ) ) @ Rr ) ) ) ).

% autoref_APP
thf(fact_113_autoref__APP,axiom,
    ! [C: b > refine432681134nres_b,A4: d > refine449204144nres_d,Ra: set_Product_prod_b_d,Rr: set_Pr1640496404nres_d,X: b,X3: d] :
      ( ( member776304031nres_d @ ( produc847298946nres_d @ C @ A4 ) @ ( relAPP446928935nres_d @ ( relAPP1806806463nres_d @ fun_re55451291nres_d @ Ra ) @ Rr ) )
     => ( ( member1302463506od_b_d @ ( product_Pair_b_d @ X @ X3 ) @ Ra )
       => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( autore1677914089nres_b @ C @ X ) @ ( autore121452781nres_d @ A4 @ X3 ) ) @ Rr ) ) ) ).

% autoref_APP
thf(fact_114_autoref__APP,axiom,
    ! [C: b > refine424419629nres_a,A4: d > refine440942639nres_c,Ra: set_Product_prod_b_d,Rr: set_Pr1128439124nres_c,X: b,X3: d] :
      ( ( member2086976541nres_c @ ( produc316577664nres_c @ C @ A4 ) @ ( relAPP1564590053nres_c @ ( relAPP709871101nres_c @ fun_re1209216603nres_c @ Ra ) @ Rr ) )
     => ( ( member1302463506od_b_d @ ( product_Pair_b_d @ X @ X3 ) @ Ra )
       => ( member1600573749nres_c @ ( produc1153446608nres_c @ ( autore1669652584nres_a @ C @ X ) @ ( autore113191276nres_c @ A4 @ X3 ) ) @ Rr ) ) ) ).

% autoref_APP
thf(fact_115_autoref__APP,axiom,
    ! [C: a > refine432681134nres_b,A4: a > refine432681134nres_b,Ra: set_Product_prod_a_a,Rr: set_Pr896671762nres_b,X: a,X3: a] :
      ( ( member369653087nres_b @ ( produc809128386nres_b @ C @ A4 ) @ ( relAPP1936960811nres_b @ ( relAPP1536875909nres_b @ fun_re1837693787nres_b @ Ra ) @ Rr ) )
     => ( ( member449909584od_a_a @ ( product_Pair_a_a @ X @ X3 ) @ Ra )
       => ( member1446466291nres_b @ ( produc2130641934nres_b @ ( autore1390664424nres_b @ C @ X ) @ ( autore1390664424nres_b @ A4 @ X3 ) ) @ Rr ) ) ) ).

% autoref_APP
thf(fact_116_autoref__APP,axiom,
    ! [C: a > refine424419629nres_a,A4: c > refine440942639nres_c,Ra: set_Product_prod_a_c,Rr: set_Pr1128439124nres_c,X: a,X3: c] :
      ( ( member100096605nres_c @ ( produc1827604032nres_c @ C @ A4 ) @ ( relAPP2018433511nres_c @ ( relAPP173519167nres_c @ fun_re766812315nres_c @ Ra ) @ Rr ) )
     => ( ( member466432594od_a_c @ ( product_Pair_a_c @ X @ X3 ) @ Ra )
       => ( member1600573749nres_c @ ( produc1153446608nres_c @ ( autore1382402919nres_a @ C @ X ) @ ( autore1973425259nres_c @ A4 @ X3 ) ) @ Rr ) ) ) ).

% autoref_APP
thf(fact_117_autoref__APP,axiom,
    ! [C: a > refine432681134nres_b,A4: c > refine449204144nres_d,Ra: set_Product_prod_a_c,Rr: set_Pr1640496404nres_d,X: a,X3: c] :
      ( ( member936907743nres_d @ ( produc210841666nres_d @ C @ A4 ) @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ Ra ) @ Rr ) )
     => ( ( member466432594od_a_c @ ( product_Pair_a_c @ X @ X3 ) @ Ra )
       => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( autore1390664424nres_b @ C @ X ) @ ( autore1981686764nres_d @ A4 @ X3 ) ) @ Rr ) ) ) ).

% autoref_APP
thf(fact_118_autoref__APP,axiom,
    ! [C: ( $o > $o ) > a,A4: ( $o > $o ) > c,Ra: set_Pr934623755_o_o_o,Rr: set_Product_prod_a_c,X: $o > $o,X3: $o > $o] :
      ( ( member1270020946_o_o_c @ ( produc2068274457_o_o_c @ C @ A4 ) @ ( relAPP970620078_o_o_c @ ( relAPP1750172554_o_o_c @ fun_rel_o_o_o_o_a_c @ Ra ) @ Rr ) )
     => ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X @ X3 ) @ Ra )
       => ( member466432594od_a_c @ ( product_Pair_a_c @ ( autoref_APP_o_o_a @ C @ X ) @ ( autoref_APP_o_o_c @ A4 @ X3 ) ) @ Rr ) ) ) ).

% autoref_APP
thf(fact_119_autoref__APP,axiom,
    ! [C: a > $o > $o,A4: c > $o > $o,Ra: set_Product_prod_a_c,Rr: set_Pr934623755_o_o_o,X: a,X3: c] :
      ( ( member1051493202_c_o_o @ ( produc1393542937_c_o_o @ C @ A4 ) @ ( relAPP1525934692_c_o_o @ ( relAPP589338430_c_o_o @ fun_rel_a_c_o_o_o_o @ Ra ) @ Rr ) )
     => ( ( member466432594od_a_c @ ( product_Pair_a_c @ X @ X3 ) @ Ra )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( autoref_APP_a_o_o @ C @ X ) @ ( autoref_APP_c_o_o @ A4 @ X3 ) ) @ Rr ) ) ) ).

% autoref_APP
thf(fact_120_lift__assnI,axiom,
    ! [S2: $o > $o,S3: $o > $o,R3: set_Pr934623755_o_o_o,Phi: ( $o > $o ) > $o] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ S2 @ S3 ) @ R3 )
     => ( ( Phi @ S3 )
       => ( refine1725652845_o_o_o @ R3 @ Phi @ S2 ) ) ) ).

% lift_assnI
thf(fact_121_lift__assnI,axiom,
    ! [S2: $o > $o > $o,S3: $o > $o > $o,R3: set_Pr618353415_o_o_o,Phi: ( $o > $o > $o ) > $o] :
      ( ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ S2 @ S3 ) @ R3 )
     => ( ( Phi @ S3 )
       => ( refine666274337_o_o_o @ R3 @ Phi @ S2 ) ) ) ).

% lift_assnI
thf(fact_122_lift__assnI,axiom,
    ! [S2: nat > nat > $o,S3: nat > nat > $o,R3: set_Pr1659864199_nat_o,Phi: ( nat > nat > $o ) > $o] :
      ( ( member336854736_nat_o @ ( produc1593059991_nat_o @ S2 @ S3 ) @ R3 )
     => ( ( Phi @ S3 )
       => ( refine67814817_nat_o @ R3 @ Phi @ S2 ) ) ) ).

% lift_assnI
thf(fact_123_lift__assnI,axiom,
    ! [S2: int > int > $o,S3: int > int > $o,R3: set_Pr1320171143_int_o,Phi: ( int > int > $o ) > $o] :
      ( ( member93171920_int_o @ ( produc1217921175_int_o @ S2 @ S3 ) @ R3 )
     => ( ( Phi @ S3 )
       => ( refine1840159649_int_o @ R3 @ Phi @ S2 ) ) ) ).

% lift_assnI
thf(fact_124_lift__assnI,axiom,
    ! [S2: ( nat > $o ) > nat > nat > $o,S3: ( nat > $o ) > nat > nat > $o,R3: set_Pr766923865_nat_o,Phi: ( ( nat > $o ) > nat > nat > $o ) > $o] :
      ( ( member1184737698_nat_o @ ( produc1206080049_nat_o @ S2 @ S3 ) @ R3 )
     => ( ( Phi @ S3 )
       => ( refine230301243_nat_o @ R3 @ Phi @ S2 ) ) ) ).

% lift_assnI
thf(fact_125_lift__assnI,axiom,
    ! [S2: ( a > refine432681134nres_b ) > refine432681134nres_b,S3: ( c > refine449204144nres_d ) > refine449204144nres_d,R3: set_Pr797615136nres_d,Phi: ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o] :
      ( ( member461830657nres_d @ ( produc2075136412nres_d @ S2 @ S3 ) @ R3 )
     => ( ( Phi @ S3 )
       => ( refine1958703523nres_d @ R3 @ Phi @ S2 ) ) ) ).

% lift_assnI
thf(fact_126_lift__assnI,axiom,
    ! [S2: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b,S3: ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d,R3: set_Pr613277282nres_d,Phi: ( ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ) > $o] :
      ( ( member660096835nres_d @ ( produc1910095910nres_d @ S2 @ S3 ) @ R3 )
     => ( ( Phi @ S3 )
       => ( refine1711024813nres_d @ R3 @ Phi @ S2 ) ) ) ).

% lift_assnI
thf(fact_127_lift__assnI,axiom,
    ! [S2: a > refine432681134nres_b,S3: c > refine449204144nres_d,R3: set_Pr589481214nres_d,Phi: ( c > refine449204144nres_d ) > $o] :
      ( ( member936907743nres_d @ ( produc210841666nres_d @ S2 @ S3 ) @ R3 )
     => ( ( Phi @ S3 )
       => ( refine746536475nres_d @ R3 @ Phi @ S2 ) ) ) ).

% lift_assnI
thf(fact_128_lift__assnI,axiom,
    ! [S2: a > ( a > refine432681134nres_b ) > refine432681134nres_b,S3: c > ( c > refine449204144nres_d ) > refine449204144nres_d,R3: set_Pr2080238504nres_d,Phi: ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o] :
      ( ( member189721481nres_d @ ( produc627868012nres_d @ S2 @ S3 ) @ R3 )
     => ( ( Phi @ S3 )
       => ( refine408412177nres_d @ R3 @ Phi @ S2 ) ) ) ).

% lift_assnI
thf(fact_129_lift__assnI,axiom,
    ! [S2: a,S3: c,R3: set_Product_prod_a_c,Phi: c > $o] :
      ( ( member466432594od_a_c @ ( product_Pair_a_c @ S2 @ S3 ) @ R3 )
     => ( ( Phi @ S3 )
       => ( refine321891363sn_a_c @ R3 @ Phi @ S2 ) ) ) ).

% lift_assnI
thf(fact_130_old_Oprod_Oinducts,axiom,
    ! [P: product_prod_o_o_o_o > $o,Prod: product_prod_o_o_o_o] :
      ( ! [A2: $o > $o,B4: $o > $o] : ( P @ ( product_Pair_o_o_o_o @ A2 @ B4 ) )
     => ( P @ Prod ) ) ).

% old.prod.inducts
thf(fact_131_old_Oprod_Oinducts,axiom,
    ! [P: produc46704423_o_o_o > $o,Prod: produc46704423_o_o_o] :
      ( ! [A2: $o > $o > $o,B4: $o > $o > $o] : ( P @ ( produc1847874839_o_o_o @ A2 @ B4 ) )
     => ( P @ Prod ) ) ).

% old.prod.inducts
thf(fact_132_old_Oprod_Oinducts,axiom,
    ! [P: produc724473255_nat_o > $o,Prod: produc724473255_nat_o] :
      ( ! [A2: nat > nat > $o,B4: nat > nat > $o] : ( P @ ( produc1593059991_nat_o @ A2 @ B4 ) )
     => ( P @ Prod ) ) ).

% old.prod.inducts
thf(fact_133_old_Oprod_Oinducts,axiom,
    ! [P: produc480790439_int_o > $o,Prod: produc480790439_int_o] :
      ( ! [A2: int > int > $o,B4: int > int > $o] : ( P @ ( produc1217921175_int_o @ A2 @ B4 ) )
     => ( P @ Prod ) ) ).

% old.prod.inducts
thf(fact_134_old_Oprod_Oinducts,axiom,
    ! [P: produc1314004473_nat_o > $o,Prod: produc1314004473_nat_o] :
      ( ! [A2: ( nat > $o ) > nat > nat > $o,B4: ( nat > $o ) > nat > nat > $o] : ( P @ ( produc1206080049_nat_o @ A2 @ B4 ) )
     => ( P @ Prod ) ) ).

% old.prod.inducts
thf(fact_135_old_Oprod_Oinducts,axiom,
    ! [P: produc1757587562nres_d > $o,Prod: produc1757587562nres_d] :
      ( ! [A2: ( a > refine432681134nres_b ) > refine432681134nres_b,B4: ( c > refine449204144nres_d ) > refine449204144nres_d] : ( P @ ( produc2075136412nres_d @ A2 @ B4 ) )
     => ( P @ Prod ) ) ).

% old.prod.inducts
thf(fact_136_old_Oprod_Oinducts,axiom,
    ! [P: produc809931564nres_d > $o,Prod: produc809931564nres_d] :
      ( ! [A2: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b,B4: ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d] : ( P @ ( produc1910095910nres_d @ A2 @ B4 ) )
     => ( P @ Prod ) ) ).

% old.prod.inducts
thf(fact_137_old_Oprod_Oinducts,axiom,
    ! [P: produc2103861704nres_d > $o,Prod: produc2103861704nres_d] :
      ( ! [A2: a > refine432681134nres_b,B4: c > refine449204144nres_d] : ( P @ ( produc210841666nres_d @ A2 @ B4 ) )
     => ( P @ Prod ) ) ).

% old.prod.inducts
thf(fact_138_old_Oprod_Oinducts,axiom,
    ! [P: produc1677145714nres_d > $o,Prod: produc1677145714nres_d] :
      ( ! [A2: a > ( a > refine432681134nres_b ) > refine432681134nres_b,B4: c > ( c > refine449204144nres_d ) > refine449204144nres_d] : ( P @ ( produc627868012nres_d @ A2 @ B4 ) )
     => ( P @ Prod ) ) ).

% old.prod.inducts
thf(fact_139_old_Oprod_Oinducts,axiom,
    ! [P: product_prod_a_c > $o,Prod: product_prod_a_c] :
      ( ! [A2: a,B4: c] : ( P @ ( product_Pair_a_c @ A2 @ B4 ) )
     => ( P @ Prod ) ) ).

% old.prod.inducts
thf(fact_140_old_Oprod_Oexhaust,axiom,
    ! [Y: product_prod_o_o_o_o] :
      ~ ! [A2: $o > $o,B4: $o > $o] :
          ( Y
         != ( product_Pair_o_o_o_o @ A2 @ B4 ) ) ).

% old.prod.exhaust
thf(fact_141_old_Oprod_Oexhaust,axiom,
    ! [Y: produc46704423_o_o_o] :
      ~ ! [A2: $o > $o > $o,B4: $o > $o > $o] :
          ( Y
         != ( produc1847874839_o_o_o @ A2 @ B4 ) ) ).

% old.prod.exhaust
thf(fact_142_old_Oprod_Oexhaust,axiom,
    ! [Y: produc724473255_nat_o] :
      ~ ! [A2: nat > nat > $o,B4: nat > nat > $o] :
          ( Y
         != ( produc1593059991_nat_o @ A2 @ B4 ) ) ).

% old.prod.exhaust
thf(fact_143_old_Oprod_Oexhaust,axiom,
    ! [Y: produc480790439_int_o] :
      ~ ! [A2: int > int > $o,B4: int > int > $o] :
          ( Y
         != ( produc1217921175_int_o @ A2 @ B4 ) ) ).

% old.prod.exhaust
thf(fact_144_old_Oprod_Oexhaust,axiom,
    ! [Y: produc1314004473_nat_o] :
      ~ ! [A2: ( nat > $o ) > nat > nat > $o,B4: ( nat > $o ) > nat > nat > $o] :
          ( Y
         != ( produc1206080049_nat_o @ A2 @ B4 ) ) ).

% old.prod.exhaust
thf(fact_145_old_Oprod_Oexhaust,axiom,
    ! [Y: produc1757587562nres_d] :
      ~ ! [A2: ( a > refine432681134nres_b ) > refine432681134nres_b,B4: ( c > refine449204144nres_d ) > refine449204144nres_d] :
          ( Y
         != ( produc2075136412nres_d @ A2 @ B4 ) ) ).

% old.prod.exhaust
thf(fact_146_old_Oprod_Oexhaust,axiom,
    ! [Y: produc809931564nres_d] :
      ~ ! [A2: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b,B4: ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d] :
          ( Y
         != ( produc1910095910nres_d @ A2 @ B4 ) ) ).

% old.prod.exhaust
thf(fact_147_old_Oprod_Oexhaust,axiom,
    ! [Y: produc2103861704nres_d] :
      ~ ! [A2: a > refine432681134nres_b,B4: c > refine449204144nres_d] :
          ( Y
         != ( produc210841666nres_d @ A2 @ B4 ) ) ).

% old.prod.exhaust
thf(fact_148_old_Oprod_Oexhaust,axiom,
    ! [Y: produc1677145714nres_d] :
      ~ ! [A2: a > ( a > refine432681134nres_b ) > refine432681134nres_b,B4: c > ( c > refine449204144nres_d ) > refine449204144nres_d] :
          ( Y
         != ( produc627868012nres_d @ A2 @ B4 ) ) ).

% old.prod.exhaust
thf(fact_149_old_Oprod_Oexhaust,axiom,
    ! [Y: product_prod_a_c] :
      ~ ! [A2: a,B4: c] :
          ( Y
         != ( product_Pair_a_c @ A2 @ B4 ) ) ).

% old.prod.exhaust
thf(fact_150_Pair__inject,axiom,
    ! [A4: $o > $o,B2: $o > $o,A5: $o > $o,B3: $o > $o] :
      ( ( ( product_Pair_o_o_o_o @ A4 @ B2 )
        = ( product_Pair_o_o_o_o @ A5 @ B3 ) )
     => ~ ( ( A4 = A5 )
         => ( B2 != B3 ) ) ) ).

% Pair_inject
thf(fact_151_Pair__inject,axiom,
    ! [A4: $o > $o > $o,B2: $o > $o > $o,A5: $o > $o > $o,B3: $o > $o > $o] :
      ( ( ( produc1847874839_o_o_o @ A4 @ B2 )
        = ( produc1847874839_o_o_o @ A5 @ B3 ) )
     => ~ ( ( A4 = A5 )
         => ( B2 != B3 ) ) ) ).

% Pair_inject
thf(fact_152_Pair__inject,axiom,
    ! [A4: nat > nat > $o,B2: nat > nat > $o,A5: nat > nat > $o,B3: nat > nat > $o] :
      ( ( ( produc1593059991_nat_o @ A4 @ B2 )
        = ( produc1593059991_nat_o @ A5 @ B3 ) )
     => ~ ( ( A4 = A5 )
         => ( B2 != B3 ) ) ) ).

% Pair_inject
thf(fact_153_Pair__inject,axiom,
    ! [A4: int > int > $o,B2: int > int > $o,A5: int > int > $o,B3: int > int > $o] :
      ( ( ( produc1217921175_int_o @ A4 @ B2 )
        = ( produc1217921175_int_o @ A5 @ B3 ) )
     => ~ ( ( A4 = A5 )
         => ( B2 != B3 ) ) ) ).

% Pair_inject
thf(fact_154_Pair__inject,axiom,
    ! [A4: ( nat > $o ) > nat > nat > $o,B2: ( nat > $o ) > nat > nat > $o,A5: ( nat > $o ) > nat > nat > $o,B3: ( nat > $o ) > nat > nat > $o] :
      ( ( ( produc1206080049_nat_o @ A4 @ B2 )
        = ( produc1206080049_nat_o @ A5 @ B3 ) )
     => ~ ( ( A4 = A5 )
         => ( B2 != B3 ) ) ) ).

% Pair_inject
thf(fact_155_Pair__inject,axiom,
    ! [A4: ( a > refine432681134nres_b ) > refine432681134nres_b,B2: ( c > refine449204144nres_d ) > refine449204144nres_d,A5: ( a > refine432681134nres_b ) > refine432681134nres_b,B3: ( c > refine449204144nres_d ) > refine449204144nres_d] :
      ( ( ( produc2075136412nres_d @ A4 @ B2 )
        = ( produc2075136412nres_d @ A5 @ B3 ) )
     => ~ ( ( A4 = A5 )
         => ( B2 != B3 ) ) ) ).

% Pair_inject
thf(fact_156_Pair__inject,axiom,
    ! [A4: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b,B2: ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d,A5: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b,B3: ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d] :
      ( ( ( produc1910095910nres_d @ A4 @ B2 )
        = ( produc1910095910nres_d @ A5 @ B3 ) )
     => ~ ( ( A4 = A5 )
         => ( B2 != B3 ) ) ) ).

% Pair_inject
thf(fact_157_Pair__inject,axiom,
    ! [A4: a > refine432681134nres_b,B2: c > refine449204144nres_d,A5: a > refine432681134nres_b,B3: c > refine449204144nres_d] :
      ( ( ( produc210841666nres_d @ A4 @ B2 )
        = ( produc210841666nres_d @ A5 @ B3 ) )
     => ~ ( ( A4 = A5 )
         => ( B2 != B3 ) ) ) ).

% Pair_inject
thf(fact_158_Pair__inject,axiom,
    ! [A4: a > ( a > refine432681134nres_b ) > refine432681134nres_b,B2: c > ( c > refine449204144nres_d ) > refine449204144nres_d,A5: a > ( a > refine432681134nres_b ) > refine432681134nres_b,B3: c > ( c > refine449204144nres_d ) > refine449204144nres_d] :
      ( ( ( produc627868012nres_d @ A4 @ B2 )
        = ( produc627868012nres_d @ A5 @ B3 ) )
     => ~ ( ( A4 = A5 )
         => ( B2 != B3 ) ) ) ).

% Pair_inject
thf(fact_159_Pair__inject,axiom,
    ! [A4: a,B2: c,A5: a,B3: c] :
      ( ( ( product_Pair_a_c @ A4 @ B2 )
        = ( product_Pair_a_c @ A5 @ B3 ) )
     => ~ ( ( A4 = A5 )
         => ( B2 != B3 ) ) ) ).

% Pair_inject
thf(fact_160_prod__cases,axiom,
    ! [P: product_prod_o_o_o_o > $o,P2: product_prod_o_o_o_o] :
      ( ! [A2: $o > $o,B4: $o > $o] : ( P @ ( product_Pair_o_o_o_o @ A2 @ B4 ) )
     => ( P @ P2 ) ) ).

% prod_cases
thf(fact_161_prod__cases,axiom,
    ! [P: produc46704423_o_o_o > $o,P2: produc46704423_o_o_o] :
      ( ! [A2: $o > $o > $o,B4: $o > $o > $o] : ( P @ ( produc1847874839_o_o_o @ A2 @ B4 ) )
     => ( P @ P2 ) ) ).

% prod_cases
thf(fact_162_prod__cases,axiom,
    ! [P: produc724473255_nat_o > $o,P2: produc724473255_nat_o] :
      ( ! [A2: nat > nat > $o,B4: nat > nat > $o] : ( P @ ( produc1593059991_nat_o @ A2 @ B4 ) )
     => ( P @ P2 ) ) ).

% prod_cases
thf(fact_163_prod__cases,axiom,
    ! [P: produc480790439_int_o > $o,P2: produc480790439_int_o] :
      ( ! [A2: int > int > $o,B4: int > int > $o] : ( P @ ( produc1217921175_int_o @ A2 @ B4 ) )
     => ( P @ P2 ) ) ).

% prod_cases
thf(fact_164_prod__cases,axiom,
    ! [P: produc1314004473_nat_o > $o,P2: produc1314004473_nat_o] :
      ( ! [A2: ( nat > $o ) > nat > nat > $o,B4: ( nat > $o ) > nat > nat > $o] : ( P @ ( produc1206080049_nat_o @ A2 @ B4 ) )
     => ( P @ P2 ) ) ).

% prod_cases
thf(fact_165_prod__cases,axiom,
    ! [P: produc1757587562nres_d > $o,P2: produc1757587562nres_d] :
      ( ! [A2: ( a > refine432681134nres_b ) > refine432681134nres_b,B4: ( c > refine449204144nres_d ) > refine449204144nres_d] : ( P @ ( produc2075136412nres_d @ A2 @ B4 ) )
     => ( P @ P2 ) ) ).

% prod_cases
thf(fact_166_prod__cases,axiom,
    ! [P: produc809931564nres_d > $o,P2: produc809931564nres_d] :
      ( ! [A2: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b,B4: ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d] : ( P @ ( produc1910095910nres_d @ A2 @ B4 ) )
     => ( P @ P2 ) ) ).

% prod_cases
thf(fact_167_prod__cases,axiom,
    ! [P: produc2103861704nres_d > $o,P2: produc2103861704nres_d] :
      ( ! [A2: a > refine432681134nres_b,B4: c > refine449204144nres_d] : ( P @ ( produc210841666nres_d @ A2 @ B4 ) )
     => ( P @ P2 ) ) ).

% prod_cases
thf(fact_168_prod__cases,axiom,
    ! [P: produc1677145714nres_d > $o,P2: produc1677145714nres_d] :
      ( ! [A2: a > ( a > refine432681134nres_b ) > refine432681134nres_b,B4: c > ( c > refine449204144nres_d ) > refine449204144nres_d] : ( P @ ( produc627868012nres_d @ A2 @ B4 ) )
     => ( P @ P2 ) ) ).

% prod_cases
thf(fact_169_prod__cases,axiom,
    ! [P: product_prod_a_c > $o,P2: product_prod_a_c] :
      ( ! [A2: a,B4: c] : ( P @ ( product_Pair_a_c @ A2 @ B4 ) )
     => ( P @ P2 ) ) ).

% prod_cases
thf(fact_170_surj__pair,axiom,
    ! [P2: product_prod_o_o_o_o] :
    ? [X5: $o > $o,Y3: $o > $o] :
      ( P2
      = ( product_Pair_o_o_o_o @ X5 @ Y3 ) ) ).

% surj_pair
thf(fact_171_surj__pair,axiom,
    ! [P2: produc46704423_o_o_o] :
    ? [X5: $o > $o > $o,Y3: $o > $o > $o] :
      ( P2
      = ( produc1847874839_o_o_o @ X5 @ Y3 ) ) ).

% surj_pair
thf(fact_172_surj__pair,axiom,
    ! [P2: produc724473255_nat_o] :
    ? [X5: nat > nat > $o,Y3: nat > nat > $o] :
      ( P2
      = ( produc1593059991_nat_o @ X5 @ Y3 ) ) ).

% surj_pair
thf(fact_173_surj__pair,axiom,
    ! [P2: produc480790439_int_o] :
    ? [X5: int > int > $o,Y3: int > int > $o] :
      ( P2
      = ( produc1217921175_int_o @ X5 @ Y3 ) ) ).

% surj_pair
thf(fact_174_surj__pair,axiom,
    ! [P2: produc1314004473_nat_o] :
    ? [X5: ( nat > $o ) > nat > nat > $o,Y3: ( nat > $o ) > nat > nat > $o] :
      ( P2
      = ( produc1206080049_nat_o @ X5 @ Y3 ) ) ).

% surj_pair
thf(fact_175_surj__pair,axiom,
    ! [P2: produc1757587562nres_d] :
    ? [X5: ( a > refine432681134nres_b ) > refine432681134nres_b,Y3: ( c > refine449204144nres_d ) > refine449204144nres_d] :
      ( P2
      = ( produc2075136412nres_d @ X5 @ Y3 ) ) ).

% surj_pair
thf(fact_176_surj__pair,axiom,
    ! [P2: produc809931564nres_d] :
    ? [X5: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b,Y3: ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d] :
      ( P2
      = ( produc1910095910nres_d @ X5 @ Y3 ) ) ).

% surj_pair
thf(fact_177_surj__pair,axiom,
    ! [P2: produc2103861704nres_d] :
    ? [X5: a > refine432681134nres_b,Y3: c > refine449204144nres_d] :
      ( P2
      = ( produc210841666nres_d @ X5 @ Y3 ) ) ).

% surj_pair
thf(fact_178_surj__pair,axiom,
    ! [P2: produc1677145714nres_d] :
    ? [X5: a > ( a > refine432681134nres_b ) > refine432681134nres_b,Y3: c > ( c > refine449204144nres_d ) > refine449204144nres_d] :
      ( P2
      = ( produc627868012nres_d @ X5 @ Y3 ) ) ).

% surj_pair
thf(fact_179_surj__pair,axiom,
    ! [P2: product_prod_a_c] :
    ? [X5: a,Y3: c] :
      ( P2
      = ( product_Pair_a_c @ X5 @ Y3 ) ) ).

% surj_pair
thf(fact_180_relAPP__def,axiom,
    ( relAPP511982311nres_d
    = ( ^ [F3: set_Pr797615136nres_d > set_Pr24800800nres_d] : F3 ) ) ).

% relAPP_def
thf(fact_181_relAPP__def,axiom,
    ( relAPP98076839nres_d
    = ( ^ [F3: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d] : F3 ) ) ).

% relAPP_def
thf(fact_182_relAPP__def,axiom,
    ( relAPP1313094511nres_d
    = ( ^ [F3: set_Product_prod_b_d > set_Pr1640496404nres_d] : F3 ) ) ).

% relAPP_def
thf(fact_183_relAPP__def,axiom,
    ( relAPP527276399nres_c
    = ( ^ [F3: set_Product_prod_a_c > set_Pr1128439124nres_c] : F3 ) ) ).

% relAPP_def
thf(fact_184_relAPP__def,axiom,
    ( relAPP1270454529nres_d
    = ( ^ [F3: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d] : F3 ) ) ).

% relAPP_def
thf(fact_185_relAPP__def,axiom,
    ( relAPP281291371nres_b
    = ( ^ [F3: set_Product_prod_b_b > set_Pr896671762nres_b] : F3 ) ) ).

% relAPP_def
thf(fact_186_relAPP__def,axiom,
    ( relAPP173519167nres_c
    = ( ^ [F3: set_Product_prod_a_c > set_Pr1128439124nres_c > set_Pr134917244nres_c] : F3 ) ) ).

% relAPP_def
thf(fact_187_relAPP__def,axiom,
    ( relAPP1135042155nres_d
    = ( ^ [F3: set_Product_prod_a_c > set_Pr797615136nres_d > set_Pr2080238504nres_d] : F3 ) ) ).

% relAPP_def
thf(fact_188_relAPP__def,axiom,
    ( relAPP1642956907nres_a
    = ( ^ [F3: set_Product_prod_a_a > set_Pr384614482nres_a] : F3 ) ) ).

% relAPP_def
thf(fact_189_relAPP__def,axiom,
    ( relAPP1536875909nres_b
    = ( ^ [F3: set_Product_prod_a_a > set_Pr896671762nres_b > set_Pr1815766654nres_b] : F3 ) ) ).

% relAPP_def
thf(fact_190_lift__assn__def,axiom,
    ( refine1725652845_o_o_o
    = ( ^ [R4: set_Pr934623755_o_o_o,Phi2: ( $o > $o ) > $o,S: $o > $o] :
        ? [S4: $o > $o] :
          ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ S @ S4 ) @ R4 )
          & ( Phi2 @ S4 ) ) ) ) ).

% lift_assn_def
thf(fact_191_lift__assn__def,axiom,
    ( refine666274337_o_o_o
    = ( ^ [R4: set_Pr618353415_o_o_o,Phi2: ( $o > $o > $o ) > $o,S: $o > $o > $o] :
        ? [S4: $o > $o > $o] :
          ( ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ S @ S4 ) @ R4 )
          & ( Phi2 @ S4 ) ) ) ) ).

% lift_assn_def
thf(fact_192_lift__assn__def,axiom,
    ( refine67814817_nat_o
    = ( ^ [R4: set_Pr1659864199_nat_o,Phi2: ( nat > nat > $o ) > $o,S: nat > nat > $o] :
        ? [S4: nat > nat > $o] :
          ( ( member336854736_nat_o @ ( produc1593059991_nat_o @ S @ S4 ) @ R4 )
          & ( Phi2 @ S4 ) ) ) ) ).

% lift_assn_def
thf(fact_193_lift__assn__def,axiom,
    ( refine1840159649_int_o
    = ( ^ [R4: set_Pr1320171143_int_o,Phi2: ( int > int > $o ) > $o,S: int > int > $o] :
        ? [S4: int > int > $o] :
          ( ( member93171920_int_o @ ( produc1217921175_int_o @ S @ S4 ) @ R4 )
          & ( Phi2 @ S4 ) ) ) ) ).

% lift_assn_def
thf(fact_194_lift__assn__def,axiom,
    ( refine230301243_nat_o
    = ( ^ [R4: set_Pr766923865_nat_o,Phi2: ( ( nat > $o ) > nat > nat > $o ) > $o,S: ( nat > $o ) > nat > nat > $o] :
        ? [S4: ( nat > $o ) > nat > nat > $o] :
          ( ( member1184737698_nat_o @ ( produc1206080049_nat_o @ S @ S4 ) @ R4 )
          & ( Phi2 @ S4 ) ) ) ) ).

% lift_assn_def
thf(fact_195_lift__assn__def,axiom,
    ( refine1958703523nres_d
    = ( ^ [R4: set_Pr797615136nres_d,Phi2: ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o,S: ( a > refine432681134nres_b ) > refine432681134nres_b] :
        ? [S4: ( c > refine449204144nres_d ) > refine449204144nres_d] :
          ( ( member461830657nres_d @ ( produc2075136412nres_d @ S @ S4 ) @ R4 )
          & ( Phi2 @ S4 ) ) ) ) ).

% lift_assn_def
thf(fact_196_lift__assn__def,axiom,
    ( refine1711024813nres_d
    = ( ^ [R4: set_Pr613277282nres_d,Phi2: ( ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d ) > $o,S: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b] :
        ? [S4: ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d] :
          ( ( member660096835nres_d @ ( produc1910095910nres_d @ S @ S4 ) @ R4 )
          & ( Phi2 @ S4 ) ) ) ) ).

% lift_assn_def
thf(fact_197_lift__assn__def,axiom,
    ( refine746536475nres_d
    = ( ^ [R4: set_Pr589481214nres_d,Phi2: ( c > refine449204144nres_d ) > $o,S: a > refine432681134nres_b] :
        ? [S4: c > refine449204144nres_d] :
          ( ( member936907743nres_d @ ( produc210841666nres_d @ S @ S4 ) @ R4 )
          & ( Phi2 @ S4 ) ) ) ) ).

% lift_assn_def
thf(fact_198_lift__assn__def,axiom,
    ( refine408412177nres_d
    = ( ^ [R4: set_Pr2080238504nres_d,Phi2: ( c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > $o,S: a > ( a > refine432681134nres_b ) > refine432681134nres_b] :
        ? [S4: c > ( c > refine449204144nres_d ) > refine449204144nres_d] :
          ( ( member189721481nres_d @ ( produc627868012nres_d @ S @ S4 ) @ R4 )
          & ( Phi2 @ S4 ) ) ) ) ).

% lift_assn_def
thf(fact_199_lift__assn__def,axiom,
    ( refine321891363sn_a_c
    = ( ^ [R4: set_Product_prod_a_c,Phi2: c > $o,S: a] :
        ? [S4: c] :
          ( ( member466432594od_a_c @ ( product_Pair_a_c @ S @ S4 ) @ R4 )
          & ( Phi2 @ S4 ) ) ) ) ).

% lift_assn_def
thf(fact_200_autoref__RETURN,axiom,
    ! [R3: set_Product_prod_a_c] : ( member100096605nres_c @ ( produc1827604032nres_c @ refine2063221604TURN_a @ refine2063221606TURN_c ) @ ( relAPP2018433511nres_c @ ( relAPP173519167nres_c @ fun_re766812315nres_c @ R3 ) @ ( relAPP527276399nres_c @ refine737062560el_a_c @ R3 ) ) ) ).

% autoref_RETURN
thf(fact_201_autoref__RETURN,axiom,
    ! [R3: set_Product_prod_b_d] : ( member776304031nres_d @ ( produc847298946nres_d @ refine2063221605TURN_b @ refine2063221607TURN_d ) @ ( relAPP446928935nres_d @ ( relAPP1806806463nres_d @ fun_re55451291nres_d @ R3 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ R3 ) ) ) ).

% autoref_RETURN
thf(fact_202_autoref__RETURN,axiom,
    ! [R3: set_Product_prod_d_b] : ( member994209571nres_b @ ( produc83262214nres_b @ refine2063221607TURN_d @ refine2063221605TURN_b ) @ ( relAPP1523780267nres_b @ ( relAPP1311256519nres_b @ fun_re934539163nres_b @ R3 ) @ ( relAPP821124455nres_b @ refine1072887132el_d_b @ R3 ) ) ) ).

% autoref_RETURN
thf(fact_203_autoref__RETURN,axiom,
    ! [R3: set_Product_prod_c_c] : ( member885256801nres_c @ ( produc465280580nres_c @ refine2063221606TURN_c @ refine2063221606TURN_c ) @ ( relAPP2059096425nres_c @ ( relAPP1559031491nres_c @ fun_re1568737051nres_c @ R3 ) @ ( relAPP1067109483nres_c @ refine245117726el_c_c @ R3 ) ) ) ).

% autoref_RETURN
thf(fact_204_autoref__RETURN,axiom,
    ! [R3: set_Product_prod_c_a] : ( member318002145nres_a @ ( produc1063567300nres_a @ refine2063221606TURN_c @ refine2063221604TURN_a ) @ ( relAPP947801195nres_a @ ( relAPP1825452871nres_a @ fun_re1645900187nres_a @ R3 ) @ ( relAPP35306343nres_a @ refine245117724el_c_a @ R3 ) ) ) ).

% autoref_RETURN
thf(fact_205_autoref__RETURN,axiom,
    ! [R3: set_Product_prod_b_b] : ( member209049375nres_b @ ( produc1445585666nres_b @ refine2063221605TURN_b @ refine2063221605TURN_b ) @ ( relAPP1483117353nres_b @ ( relAPP2073227843nres_b @ fun_re132614427nres_b @ R3 ) @ ( relAPP281291371nres_b @ refine1564831966el_b_b @ R3 ) ) ) ).

% autoref_RETURN
thf(fact_206_autoref__RETURN,axiom,
    ! [R3: set_Product_prod_a_a] : ( member1680325597nres_a @ ( produc278407104nres_a @ refine2063221604TURN_a @ refine2063221604TURN_a ) @ ( relAPP907138281nres_a @ ( relAPP439940547nres_a @ fun_re843975451nres_a @ R3 ) @ ( relAPP1642956907nres_a @ refine737062558el_a_a @ R3 ) ) ) ).

% autoref_RETURN
thf(fact_207_param__op__nres__ASSERT__bnd,axiom,
    ! [Phi3: $o,Phi: $o,M: refine424419629nres_a,M2: refine440942639nres_c,R3: set_Product_prod_a_c] :
      ( ( Phi3
       => Phi )
     => ( ( Phi3
         => ( Phi
           => ( member1600573749nres_c @ ( produc1153446608nres_c @ M @ M2 ) @ ( relAPP527276399nres_c @ refine737062560el_a_c @ R3 ) ) ) )
       => ( member1600573749nres_c @ ( produc1153446608nres_c @ ( refine1437029927_bnd_a @ Phi @ M ) @ ( refine1437029929_bnd_c @ Phi3 @ M2 ) ) @ ( relAPP527276399nres_c @ refine737062560el_a_c @ R3 ) ) ) ) ).

% param_op_nres_ASSERT_bnd
thf(fact_208_param__op__nres__ASSERT__bnd,axiom,
    ! [Phi3: $o,Phi: $o,M: refine432681134nres_b,M2: refine449204144nres_d,R3: set_Product_prod_b_d] :
      ( ( Phi3
       => Phi )
     => ( ( Phi3
         => ( Phi
           => ( member1578111221nres_d @ ( produc2147164944nres_d @ M @ M2 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ R3 ) ) ) )
       => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( refine1437029928_bnd_b @ Phi @ M ) @ ( refine1437029930_bnd_d @ Phi3 @ M2 ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ R3 ) ) ) ) ).

% param_op_nres_ASSERT_bnd
thf(fact_209_param__op__nres__ASSERT__bnd,axiom,
    ! [Phi3: $o,Phi: $o,M: refine449204144nres_d,M2: refine432681134nres_b,R3: set_Product_prod_d_b] :
      ( ( Phi3
       => Phi )
     => ( ( Phi3
         => ( Phi
           => ( member1269896305nres_b @ ( produc1954071948nres_b @ M @ M2 ) @ ( relAPP821124455nres_b @ refine1072887132el_d_b @ R3 ) ) ) )
       => ( member1269896305nres_b @ ( produc1954071948nres_b @ ( refine1437029930_bnd_d @ Phi @ M ) @ ( refine1437029928_bnd_b @ Phi3 @ M2 ) ) @ ( relAPP821124455nres_b @ refine1072887132el_d_b @ R3 ) ) ) ) ).

% param_op_nres_ASSERT_bnd
thf(fact_210_param__op__nres__ASSERT__bnd,axiom,
    ! [Phi3: $o,Phi: $o,M: refine440942639nres_c,M2: refine440942639nres_c,R3: set_Product_prod_c_c] :
      ( ( Phi3
       => Phi )
     => ( ( Phi3
         => ( Phi
           => ( member1424003763nres_c @ ( produc976876622nres_c @ M @ M2 ) @ ( relAPP1067109483nres_c @ refine245117726el_c_c @ R3 ) ) ) )
       => ( member1424003763nres_c @ ( produc976876622nres_c @ ( refine1437029929_bnd_c @ Phi @ M ) @ ( refine1437029929_bnd_c @ Phi3 @ M2 ) ) @ ( relAPP1067109483nres_c @ refine245117726el_c_c @ R3 ) ) ) ) ).

% param_op_nres_ASSERT_bnd
thf(fact_211_param__op__nres__ASSERT__bnd,axiom,
    ! [Phi3: $o,Phi: $o,M: refine440942639nres_c,M2: refine424419629nres_a,R3: set_Product_prod_c_a] :
      ( ( Phi3
       => Phi )
     => ( ( Phi3
         => ( Phi
           => ( member1292358833nres_a @ ( produc960353612nres_a @ M @ M2 ) @ ( relAPP35306343nres_a @ refine245117724el_c_a @ R3 ) ) ) )
       => ( member1292358833nres_a @ ( produc960353612nres_a @ ( refine1437029929_bnd_c @ Phi @ M ) @ ( refine1437029927_bnd_a @ Phi3 @ M2 ) ) @ ( relAPP35306343nres_a @ refine245117724el_c_a @ R3 ) ) ) ) ).

% param_op_nres_ASSERT_bnd
thf(fact_212_param__op__nres__ASSERT__bnd,axiom,
    ! [Phi3: $o,Phi: $o,M: refine432681134nres_b,M2: refine432681134nres_b,R3: set_Product_prod_b_b] :
      ( ( Phi3
       => Phi )
     => ( ( Phi3
         => ( Phi
           => ( member1446466291nres_b @ ( produc2130641934nres_b @ M @ M2 ) @ ( relAPP281291371nres_b @ refine1564831966el_b_b @ R3 ) ) ) )
       => ( member1446466291nres_b @ ( produc2130641934nres_b @ ( refine1437029928_bnd_b @ Phi @ M ) @ ( refine1437029928_bnd_b @ Phi3 @ M2 ) ) @ ( relAPP281291371nres_b @ refine1564831966el_b_b @ R3 ) ) ) ) ).

% param_op_nres_ASSERT_bnd
thf(fact_213_param__op__nres__ASSERT__bnd,axiom,
    ! [Phi3: $o,Phi: $o,M: refine424419629nres_a,M2: refine424419629nres_a,R3: set_Product_prod_a_a] :
      ( ( Phi3
       => Phi )
     => ( ( Phi3
         => ( Phi
           => ( member1468928819nres_a @ ( produc1136923598nres_a @ M @ M2 ) @ ( relAPP1642956907nres_a @ refine737062558el_a_a @ R3 ) ) ) )
       => ( member1468928819nres_a @ ( produc1136923598nres_a @ ( refine1437029927_bnd_a @ Phi @ M ) @ ( refine1437029927_bnd_a @ Phi3 @ M2 ) ) @ ( relAPP1642956907nres_a @ refine737062558el_a_a @ R3 ) ) ) ) ).

% param_op_nres_ASSERT_bnd
thf(fact_214_fun__relE2,axiom,
    ! [F: int > $o,F2: int > $o,Rv: set_Product_prod_o_o,T: $o,X: int] :
      ( ( member2072375312_int_o @ ( produc2007676503_int_o @ F @ F2 ) @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ id_int ) @ Rv ) )
     => ( ( T
          = ( F @ X ) )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ T @ ( F2 @ X ) ) @ Rv ) ) ) ).

% fun_relE2
thf(fact_215_fun__relE2,axiom,
    ! [F: int > a,F2: int > c,Rv: set_Product_prod_a_c,T: a,X: int] :
      ( ( member716152722_int_c @ ( produc255636953_int_c @ F @ F2 ) @ ( relAPP94675694_int_c @ ( relAPP1294852440_int_c @ fun_rel_int_int_a_c @ id_int ) @ Rv ) )
     => ( ( T
          = ( F @ X ) )
       => ( member466432594od_a_c @ ( product_Pair_a_c @ T @ ( F2 @ X ) ) @ Rv ) ) ) ).

% fun_relE2
thf(fact_216_fun__relE2,axiom,
    ! [F: $o > a,F2: $o > c,Rv: set_Product_prod_a_c,T: a,X: $o] :
      ( ( member1078413858_a_o_c @ ( product_Pair_o_a_o_c @ F @ F2 ) @ ( relAPP1886573054_a_o_c @ ( relAPP1853263758_a_o_c @ fun_rel_o_o_a_c @ id_o2 ) @ Rv ) )
     => ( ( T
          = ( F @ X ) )
       => ( member466432594od_a_c @ ( product_Pair_a_c @ T @ ( F2 @ X ) ) @ Rv ) ) ) ).

% fun_relE2
thf(fact_217_fun__relE2,axiom,
    ! [F: nat > a,F2: nat > c,Rv: set_Product_prod_a_c,T: a,X: nat] :
      ( ( member91290258_nat_c @ ( produc1067187929_nat_c @ F @ F2 ) @ ( relAPP1600683502_nat_c @ ( relAPP1647806368_nat_c @ fun_rel_nat_nat_a_c @ id_nat ) @ Rv ) )
     => ( ( T
          = ( F @ X ) )
       => ( member466432594od_a_c @ ( product_Pair_a_c @ T @ ( F2 @ X ) ) @ Rv ) ) ) ).

% fun_relE2
thf(fact_218_fun__relE2,axiom,
    ! [F: $o > $o,F2: $o > $o,Rv: set_Product_prod_o_o,T: $o,X: $o] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ F @ F2 ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ id_o2 ) @ Rv ) )
     => ( ( T
          = ( F @ X ) )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ T @ ( F2 @ X ) ) @ Rv ) ) ) ).

% fun_relE2
thf(fact_219_fun__relE2,axiom,
    ! [F: a > refine432681134nres_b,F2: a > refine432681134nres_b,Rv: set_Pr896671762nres_b,T: refine432681134nres_b,X: a] :
      ( ( member369653087nres_b @ ( produc809128386nres_b @ F @ F2 ) @ ( relAPP1936960811nres_b @ ( relAPP1536875909nres_b @ fun_re1837693787nres_b @ id_a ) @ Rv ) )
     => ( ( T
          = ( F @ X ) )
       => ( member1446466291nres_b @ ( produc2130641934nres_b @ T @ ( F2 @ X ) ) @ Rv ) ) ) ).

% fun_relE2
thf(fact_220_fun__relE2,axiom,
    ! [F: int > $o > $o,F2: int > $o > $o,Rv: set_Pr934623755_o_o_o,T: $o > $o,X: int] :
      ( ( member1749460202nt_o_o @ ( produc1684950905nt_o_o @ F @ F2 ) @ ( relAPP1212753788nt_o_o @ ( relAPP1603180590nt_o_o @ fun_re464413488_o_o_o @ id_int ) @ Rv ) )
     => ( ( T
          = ( F @ X ) )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ T @ ( F2 @ X ) ) @ Rv ) ) ) ).

% fun_relE2
thf(fact_221_fun__relE2,axiom,
    ! [F: nat > $o > $o,F2: nat > $o > $o,Rv: set_Pr934623755_o_o_o,T: $o > $o,X: nat] :
      ( ( member1805296690at_o_o @ ( produc1951588545at_o_o @ F @ F2 ) @ ( relAPP117572292at_o_o @ ( relAPP2103870142at_o_o @ fun_re1521677944_o_o_o @ id_nat ) @ Rv ) )
     => ( ( T
          = ( F @ X ) )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ T @ ( F2 @ X ) ) @ Rv ) ) ) ).

% fun_relE2
thf(fact_222_fun__relE2,axiom,
    ! [F: $o > $o > $o,F2: $o > $o > $o,Rv: set_Pr934623755_o_o_o,T: $o > $o,X: $o] :
      ( ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ F @ F2 ) @ ( relAPP2105552994_o_o_o @ ( relAPP1591113530_o_o_o @ fun_rel_o_o_o_o_o_o @ id_o2 ) @ Rv ) )
     => ( ( T
          = ( F @ X ) )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ T @ ( F2 @ X ) ) @ Rv ) ) ) ).

% fun_relE2
thf(fact_223_fun__relE2,axiom,
    ! [F: nat > nat > $o,F2: nat > nat > $o,Rv: set_Pr310822599_nat_o,T: nat > $o,X: nat] :
      ( ( member336854736_nat_o @ ( produc1593059991_nat_o @ F @ F2 ) @ ( relAPP432724078_nat_o @ ( relAPP1989008800_nat_o @ fun_re1770844140_nat_o @ id_nat ) @ Rv ) )
     => ( ( T
          = ( F @ X ) )
       => ( member1330470160_nat_o @ ( produc1218908503_nat_o @ T @ ( F2 @ X ) ) @ Rv ) ) ) ).

% fun_relE2
thf(fact_224_fun__relE1,axiom,
    ! [F: int > $o,F2: int > $o,Rv: set_Product_prod_o_o,T2: $o,X: int] :
      ( ( member2072375312_int_o @ ( produc2007676503_int_o @ F @ F2 ) @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ id_int ) @ Rv ) )
     => ( ( T2
          = ( F2 @ X ) )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ T2 ) @ Rv ) ) ) ).

% fun_relE1
thf(fact_225_fun__relE1,axiom,
    ! [F: int > a,F2: int > c,Rv: set_Product_prod_a_c,T2: c,X: int] :
      ( ( member716152722_int_c @ ( produc255636953_int_c @ F @ F2 ) @ ( relAPP94675694_int_c @ ( relAPP1294852440_int_c @ fun_rel_int_int_a_c @ id_int ) @ Rv ) )
     => ( ( T2
          = ( F2 @ X ) )
       => ( member466432594od_a_c @ ( product_Pair_a_c @ ( F @ X ) @ T2 ) @ Rv ) ) ) ).

% fun_relE1
thf(fact_226_fun__relE1,axiom,
    ! [F: $o > a,F2: $o > c,Rv: set_Product_prod_a_c,T2: c,X: $o] :
      ( ( member1078413858_a_o_c @ ( product_Pair_o_a_o_c @ F @ F2 ) @ ( relAPP1886573054_a_o_c @ ( relAPP1853263758_a_o_c @ fun_rel_o_o_a_c @ id_o2 ) @ Rv ) )
     => ( ( T2
          = ( F2 @ X ) )
       => ( member466432594od_a_c @ ( product_Pair_a_c @ ( F @ X ) @ T2 ) @ Rv ) ) ) ).

% fun_relE1
thf(fact_227_fun__relE1,axiom,
    ! [F: nat > a,F2: nat > c,Rv: set_Product_prod_a_c,T2: c,X: nat] :
      ( ( member91290258_nat_c @ ( produc1067187929_nat_c @ F @ F2 ) @ ( relAPP1600683502_nat_c @ ( relAPP1647806368_nat_c @ fun_rel_nat_nat_a_c @ id_nat ) @ Rv ) )
     => ( ( T2
          = ( F2 @ X ) )
       => ( member466432594od_a_c @ ( product_Pair_a_c @ ( F @ X ) @ T2 ) @ Rv ) ) ) ).

% fun_relE1
thf(fact_228_fun__relE1,axiom,
    ! [F: $o > $o,F2: $o > $o,Rv: set_Product_prod_o_o,T2: $o,X: $o] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ F @ F2 ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ id_o2 ) @ Rv ) )
     => ( ( T2
          = ( F2 @ X ) )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ T2 ) @ Rv ) ) ) ).

% fun_relE1
thf(fact_229_fun__relE1,axiom,
    ! [F: a > refine432681134nres_b,F2: a > refine432681134nres_b,Rv: set_Pr896671762nres_b,T2: refine432681134nres_b,X: a] :
      ( ( member369653087nres_b @ ( produc809128386nres_b @ F @ F2 ) @ ( relAPP1936960811nres_b @ ( relAPP1536875909nres_b @ fun_re1837693787nres_b @ id_a ) @ Rv ) )
     => ( ( T2
          = ( F2 @ X ) )
       => ( member1446466291nres_b @ ( produc2130641934nres_b @ ( F @ X ) @ T2 ) @ Rv ) ) ) ).

% fun_relE1
thf(fact_230_fun__relE1,axiom,
    ! [F: int > $o > $o,F2: int > $o > $o,Rv: set_Pr934623755_o_o_o,T2: $o > $o,X: int] :
      ( ( member1749460202nt_o_o @ ( produc1684950905nt_o_o @ F @ F2 ) @ ( relAPP1212753788nt_o_o @ ( relAPP1603180590nt_o_o @ fun_re464413488_o_o_o @ id_int ) @ Rv ) )
     => ( ( T2
          = ( F2 @ X ) )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ T2 ) @ Rv ) ) ) ).

% fun_relE1
thf(fact_231_fun__relE1,axiom,
    ! [F: nat > $o > $o,F2: nat > $o > $o,Rv: set_Pr934623755_o_o_o,T2: $o > $o,X: nat] :
      ( ( member1805296690at_o_o @ ( produc1951588545at_o_o @ F @ F2 ) @ ( relAPP117572292at_o_o @ ( relAPP2103870142at_o_o @ fun_re1521677944_o_o_o @ id_nat ) @ Rv ) )
     => ( ( T2
          = ( F2 @ X ) )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ T2 ) @ Rv ) ) ) ).

% fun_relE1
thf(fact_232_fun__relE1,axiom,
    ! [F: $o > $o > $o,F2: $o > $o > $o,Rv: set_Pr934623755_o_o_o,T2: $o > $o,X: $o] :
      ( ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ F @ F2 ) @ ( relAPP2105552994_o_o_o @ ( relAPP1591113530_o_o_o @ fun_rel_o_o_o_o_o_o @ id_o2 ) @ Rv ) )
     => ( ( T2
          = ( F2 @ X ) )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ T2 ) @ Rv ) ) ) ).

% fun_relE1
thf(fact_233_fun__relE1,axiom,
    ! [F: nat > nat > $o,F2: nat > nat > $o,Rv: set_Pr310822599_nat_o,T2: nat > $o,X: nat] :
      ( ( member336854736_nat_o @ ( produc1593059991_nat_o @ F @ F2 ) @ ( relAPP432724078_nat_o @ ( relAPP1989008800_nat_o @ fun_re1770844140_nat_o @ id_nat ) @ Rv ) )
     => ( ( T2
          = ( F2 @ X ) )
       => ( member1330470160_nat_o @ ( produc1218908503_nat_o @ ( F @ X ) @ T2 ) @ Rv ) ) ) ).

% fun_relE1
thf(fact_234_autoref__Let__cong,axiom,
    ! [X3: int,X: int,Ra: set_Pr1858794777nt_int,F2: int > $o,F: int > $o,Rr: set_Product_prod_o_o] :
      ( ( member776767074nt_int @ ( product_Pair_int_int @ X3 @ X ) @ Ra )
     => ( ! [Y3: int] :
            ( ( autore1113312320RNAL_o @ ( X = Y3 ) )
           => ! [Y4: int] :
                ( ( member776767074nt_int @ ( product_Pair_int_int @ Y4 @ Y3 ) @ Ra )
               => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F2 @ Y4 ) @ ( autoref_APP_int_o @ F @ Y3 ) ) @ Rr ) ) )
       => ( member55945296od_o_o
          @ ( product_Pair_o_o @ ( F2 @ X3 )
            @ ( autoref_APP_int_o_o
              @ ( autore112221708nt_o_o
                @ ( autore1153274959nt_o_o
                  @ ( autore1667378628nt_o_o
                    @ ^ [S: int,F3: int > $o] : ( F3 @ S ) )
                  @ ( autore1079756534nt_o_o @ ( relAPP92429436nt_o_o @ ( relAPP1963072942nt_o_o @ fun_re442767642nt_o_o @ Ra ) @ ( relAPP1339734044nt_o_o @ ( relAPP967602156nt_o_o @ fun_re667116106_o_o_o @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ Ra ) @ Rr ) ) @ Rr ) ) ) )
                @ X )
              @ F ) )
          @ Rr ) ) ) ).

% autoref_Let_cong
thf(fact_235_autoref__Let__cong,axiom,
    ! [X3: a,X: c,Ra: set_Product_prod_a_c,F2: a > a,F: c > c,Rr: set_Product_prod_a_c] :
      ( ( member466432594od_a_c @ ( product_Pair_a_c @ X3 @ X ) @ Ra )
     => ( ! [Y3: c] :
            ( ( autore1113312320RNAL_o @ ( X = Y3 ) )
           => ! [Y4: a] :
                ( ( member466432594od_a_c @ ( product_Pair_a_c @ Y4 @ Y3 ) @ Ra )
               => ( member466432594od_a_c @ ( product_Pair_a_c @ ( F2 @ Y4 ) @ ( autoref_APP_c_c @ F @ Y3 ) ) @ Rr ) ) )
       => ( member466432594od_a_c
          @ ( product_Pair_a_c @ ( F2 @ X3 )
            @ ( autoref_APP_c_c_c
              @ ( autoref_APP_c_c_c_c
                @ ( autore1422848225_c_c_c
                  @ ( autoref_OP_c_c_c_c
                    @ ^ [S: c,F3: c > c] : ( F3 @ S ) )
                  @ ( autore464253722_c_c_c @ ( relAPP1804623572_c_c_c @ ( relAPP1889825126_c_c_c @ fun_re836380558_c_c_c @ Ra ) @ ( relAPP1311785006_c_c_c @ ( relAPP981449866_c_c_c @ fun_rel_a_a_c_c_a_c @ ( relAPP237429680_a_c_c @ ( relAPP887115074_a_c_c @ fun_rel_a_c_a_c @ Ra ) @ Rr ) ) @ Rr ) ) ) )
                @ X )
              @ F ) )
          @ Rr ) ) ) ).

% autoref_Let_cong
thf(fact_236_autoref__Let__cong,axiom,
    ! [X3: b,X: d,Ra: set_Product_prod_b_d,F2: b > refine432681134nres_b,F: d > refine449204144nres_d,Rr: set_Pr1640496404nres_d] :
      ( ( member1302463506od_b_d @ ( product_Pair_b_d @ X3 @ X ) @ Ra )
     => ( ! [Y3: d] :
            ( ( autore1113312320RNAL_o @ ( X = Y3 ) )
           => ! [Y4: b] :
                ( ( member1302463506od_b_d @ ( product_Pair_b_d @ Y4 @ Y3 ) @ Ra )
               => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F2 @ Y4 ) @ ( autore121452781nres_d @ F @ Y3 ) ) @ Rr ) ) )
       => ( member1578111221nres_d
          @ ( produc2147164944nres_d @ ( F2 @ X3 )
            @ ( autore38794169nres_d
              @ ( autore48395543nres_d
                @ ( autore1505592162nres_d
                  @ ( autore1121250093nres_d
                    @ ^ [S: d,F3: d > refine449204144nres_d] : ( F3 @ S ) )
                  @ ( autore486670105nres_d @ ( relAPP486948753nres_d @ ( relAPP1996600361nres_d @ fun_re1101734569nres_d @ Ra ) @ ( relAPP1676317369nres_d @ ( relAPP1405476647nres_d @ fun_re884113425nres_d @ ( relAPP446928935nres_d @ ( relAPP1806806463nres_d @ fun_re55451291nres_d @ Ra ) @ Rr ) ) @ Rr ) ) ) )
                @ X )
              @ F ) )
          @ Rr ) ) ) ).

% autoref_Let_cong
thf(fact_237_autoref__Let__cong,axiom,
    ! [X3: b,X: d,Ra: set_Product_prod_b_d,F2: b > refine424419629nres_a,F: d > refine440942639nres_c,Rr: set_Pr1128439124nres_c] :
      ( ( member1302463506od_b_d @ ( product_Pair_b_d @ X3 @ X ) @ Ra )
     => ( ! [Y3: d] :
            ( ( autore1113312320RNAL_o @ ( X = Y3 ) )
           => ! [Y4: b] :
                ( ( member1302463506od_b_d @ ( product_Pair_b_d @ Y4 @ Y3 ) @ Ra )
               => ( member1600573749nres_c @ ( produc1153446608nres_c @ ( F2 @ Y4 ) @ ( autore113191276nres_c @ F @ Y3 ) ) @ Rr ) ) )
       => ( member1600573749nres_c
          @ ( produc1153446608nres_c @ ( F2 @ X3 )
            @ ( autore964129529nres_c
              @ ( autore1989911767nres_c
                @ ( autore73061154nres_c
                  @ ( autore1836202733nres_c
                    @ ^ [S: d,F3: d > refine440942639nres_c] : ( F3 @ S ) )
                  @ ( autore1683160729nres_c @ ( relAPP131141393nres_c @ ( relAPP2017502121nres_c @ fun_re430551721nres_c @ Ra ) @ ( relAPP489595641nres_c @ ( relAPP1790450405nres_c @ fun_re1366722255nres_c @ ( relAPP1564590053nres_c @ ( relAPP709871101nres_c @ fun_re1209216603nres_c @ Ra ) @ Rr ) ) @ Rr ) ) ) )
                @ X )
              @ F ) )
          @ Rr ) ) ) ).

% autoref_Let_cong
thf(fact_238_autoref__Let__cong,axiom,
    ! [X3: a,X: a,Ra: set_Product_prod_a_a,F2: a > refine432681134nres_b,F: a > refine432681134nres_b,Rr: set_Pr896671762nres_b] :
      ( ( member449909584od_a_a @ ( product_Pair_a_a @ X3 @ X ) @ Ra )
     => ( ! [Y3: a] :
            ( ( autore1113312320RNAL_o @ ( X = Y3 ) )
           => ! [Y4: a] :
                ( ( member449909584od_a_a @ ( product_Pair_a_a @ Y4 @ Y3 ) @ Ra )
               => ( member1446466291nres_b @ ( produc2130641934nres_b @ ( F2 @ Y4 ) @ ( autore1390664424nres_b @ F @ Y3 ) ) @ Rr ) ) )
       => ( member1446466291nres_b
          @ ( produc2130641934nres_b @ ( F2 @ X3 )
            @ ( autore956252284nres_b
              @ ( autore781669463nres_b
                @ ( autore1290907938nres_b
                  @ ( autore906565869nres_b
                    @ ^ [S: a,F3: a > refine432681134nres_b] : ( F3 @ S ) )
                  @ ( autore16598297nres_b @ ( relAPP91071253nres_b @ ( relAPP1740535279nres_b @ fun_re1165441639nres_b @ Ra ) @ ( relAPP2095637113nres_b @ ( relAPP1293188647nres_b @ fun_re1579405647nres_b @ ( relAPP1936960811nres_b @ ( relAPP1536875909nres_b @ fun_re1837693787nres_b @ Ra ) @ Rr ) ) @ Rr ) ) ) )
                @ X )
              @ F ) )
          @ Rr ) ) ) ).

% autoref_Let_cong
thf(fact_239_autoref__Let__cong,axiom,
    ! [X3: a,X: c,Ra: set_Product_prod_a_c,F2: a > refine424419629nres_a,F: c > refine440942639nres_c,Rr: set_Pr1128439124nres_c] :
      ( ( member466432594od_a_c @ ( product_Pair_a_c @ X3 @ X ) @ Ra )
     => ( ! [Y3: c] :
            ( ( autore1113312320RNAL_o @ ( X = Y3 ) )
           => ! [Y4: a] :
                ( ( member466432594od_a_c @ ( product_Pair_a_c @ Y4 @ Y3 ) @ Ra )
               => ( member1600573749nres_c @ ( produc1153446608nres_c @ ( F2 @ Y4 ) @ ( autore1973425259nres_c @ F @ Y3 ) ) @ Rr ) ) )
       => ( member1600573749nres_c
          @ ( produc1153446608nres_c @ ( F2 @ X3 )
            @ ( autore2084714426nres_c
              @ ( autore224164375nres_c
                @ ( autore956520418nres_c
                  @ ( autore572178349nres_c
                    @ ^ [S: c,F3: c > refine440942639nres_c] : ( F3 @ S ) )
                  @ ( autore1545784985nres_c @ ( relAPP998488211nres_c @ ( relAPP1155943915nres_c @ fun_re418666087nres_c @ Ra ) @ ( relAPP1774615993nres_c @ ( relAPP483050597nres_c @ fun_re1877185935nres_c @ ( relAPP2018433511nres_c @ ( relAPP173519167nres_c @ fun_re766812315nres_c @ Ra ) @ Rr ) ) @ Rr ) ) ) )
                @ X )
              @ F ) )
          @ Rr ) ) ) ).

% autoref_Let_cong
thf(fact_240_autoref__Let__cong,axiom,
    ! [X3: a,X: c,Ra: set_Product_prod_a_c,F2: a > refine432681134nres_b,F: c > refine449204144nres_d,Rr: set_Pr1640496404nres_d] :
      ( ( member466432594od_a_c @ ( product_Pair_a_c @ X3 @ X ) @ Ra )
     => ( ! [Y3: c] :
            ( ( autore1113312320RNAL_o @ ( X = Y3 ) )
           => ! [Y4: a] :
                ( ( member466432594od_a_c @ ( product_Pair_a_c @ Y4 @ Y3 ) @ Ra )
               => ( member1578111221nres_d @ ( produc2147164944nres_d @ ( F2 @ Y4 ) @ ( autore1981686764nres_d @ F @ Y3 ) ) @ Rr ) ) )
       => ( member1578111221nres_d
          @ ( produc2147164944nres_d @ ( F2 @ X3 )
            @ ( autore1159379066nres_d
              @ ( autore430131799nres_d
                @ ( autore241567778nres_d
                  @ ( autore2004709357nres_d
                    @ ^ [S: c,F3: c > refine449204144nres_d] : ( F3 @ S ) )
                  @ ( autore349294361nres_d @ ( relAPP1354295571nres_d @ ( relAPP1135042155nres_d @ fun_re1089848935nres_d @ Ra ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ Ra ) @ Rr ) ) @ Rr ) ) ) )
                @ X )
              @ F ) )
          @ Rr ) ) ) ).

% autoref_Let_cong
thf(fact_241_autoref__Let__cong,axiom,
    ! [X3: int,X: int,Ra: set_Pr1858794777nt_int,F2: int > int > $o,F: int > int > $o,Rr: set_Pr94755271_int_o] :
      ( ( member776767074nt_int @ ( product_Pair_int_int @ X3 @ X ) @ Ra )
     => ( ! [Y3: int] :
            ( ( autore1113312320RNAL_o @ ( X = Y3 ) )
           => ! [Y4: int] :
                ( ( member776767074nt_int @ ( product_Pair_int_int @ Y4 @ Y3 ) @ Ra )
               => ( member2072375312_int_o @ ( produc2007676503_int_o @ ( F2 @ Y4 ) @ ( autore1551339569_int_o @ F @ Y3 ) ) @ Rr ) ) )
       => ( member2072375312_int_o
          @ ( produc2007676503_int_o @ ( F2 @ X3 )
            @ ( autore1156652217_int_o
              @ ( autore1101499084_int_o
                @ ( autore1880283407_int_o
                  @ ( autore1769540484_int_o
                    @ ^ [S: int,F3: int > int > $o] : ( F3 @ S ) )
                  @ ( autore1294268534_int_o @ ( relAPP1770679164_int_o @ ( relAPP958748846_int_o @ fun_re2036221850_int_o @ Ra ) @ ( relAPP371694684_int_o @ ( relAPP1620826092_int_o @ fun_re22412234_int_o @ ( relAPP556082542_int_o @ ( relAPP1052348760_int_o @ fun_re986858916_int_o @ Ra ) @ Rr ) ) @ Rr ) ) ) )
                @ X )
              @ F ) )
          @ Rr ) ) ) ).

% autoref_Let_cong
thf(fact_242_autoref__Let__cong,axiom,
    ! [X3: $o > $o,X: $o > $o,Ra: set_Pr934623755_o_o_o,F2: ( $o > $o ) > a,F: ( $o > $o ) > c,Rr: set_Product_prod_a_c] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ X3 @ X ) @ Ra )
     => ( ! [Y3: $o > $o] :
            ( ( autore1113312320RNAL_o @ ( X = Y3 ) )
           => ! [Y4: $o > $o] :
                ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ Y4 @ Y3 ) @ Ra )
               => ( member466432594od_a_c @ ( product_Pair_a_c @ ( F2 @ Y4 ) @ ( autoref_APP_o_o_c @ F @ Y3 ) ) @ Rr ) ) )
       => ( member466432594od_a_c
          @ ( product_Pair_a_c @ ( F2 @ X3 )
            @ ( autoref_APP_o_o_c_c
              @ ( autore1733926270_o_c_c
                @ ( autore867490625_o_c_c
                  @ ( autore971224502_o_c_c
                    @ ^ [S: $o > $o,F3: ( $o > $o ) > c] : ( F3 @ S ) )
                  @ ( autore821969498_o_c_c @ ( relAPP1562327022_o_c_c @ ( relAPP2129980178_o_c_c @ fun_re1144975870_o_c_c @ Ra ) @ ( relAPP1774770060_o_c_c @ ( relAPP412764446_o_c_c @ fun_re1859931662_c_a_c @ ( relAPP970620078_o_o_c @ ( relAPP1750172554_o_o_c @ fun_rel_o_o_o_o_a_c @ Ra ) @ Rr ) ) @ Rr ) ) ) )
                @ X )
              @ F ) )
          @ Rr ) ) ) ).

% autoref_Let_cong
thf(fact_243_autoref__Let__cong,axiom,
    ! [X3: a,X: c,Ra: set_Product_prod_a_c,F2: a > $o > $o,F: c > $o > $o,Rr: set_Pr934623755_o_o_o] :
      ( ( member466432594od_a_c @ ( product_Pair_a_c @ X3 @ X ) @ Ra )
     => ( ! [Y3: c] :
            ( ( autore1113312320RNAL_o @ ( X = Y3 ) )
           => ! [Y4: a] :
                ( ( member466432594od_a_c @ ( product_Pair_a_c @ Y4 @ Y3 ) @ Ra )
               => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F2 @ Y4 ) @ ( autoref_APP_c_o_o @ F @ Y3 ) ) @ Rr ) ) )
       => ( member250723412_o_o_o
          @ ( product_Pair_o_o_o_o @ ( F2 @ X3 )
            @ ( autore821920247_o_o_o
              @ ( autore1554881264_o_o_o
                @ ( autore1757597947_o_o_o
                  @ ( autore1861331824_o_o_o
                    @ ^ [S: c,F3: c > $o > $o] : ( F3 @ S ) )
                  @ ( autore1424734926_o_o_o @ ( relAPP1723270664_o_o_o @ ( relAPP913737114_o_o_o @ fun_re362844942_o_o_o @ Ra ) @ ( relAPP829628004_o_o_o @ ( relAPP1210499902_o_o_o @ fun_re2021699288_o_o_o @ ( relAPP1525934692_c_o_o @ ( relAPP589338430_c_o_o @ fun_rel_a_c_o_o_o_o @ Ra ) @ Rr ) ) @ Rr ) ) ) )
                @ X )
              @ F ) )
          @ Rr ) ) ) ).

% autoref_Let_cong
thf(fact_244_autoref__id,axiom,
    ! [R3: set_Product_prod_o_o] : ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ id_o @ id_o ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ R3 ) @ R3 ) ) ).

% autoref_id
thf(fact_245_autoref__REMOVE__INTERNAL__EQ,axiom,
    ! [C: $o > $o,A4: $o > $o,R3: set_Pr934623755_o_o_o,C2: $o > $o] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ C @ A4 ) @ R3 )
     => ( ( autore1883416521EQ_o_o @ C @ C2 )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ C2 @ A4 ) @ R3 ) ) ) ).

% autoref_REMOVE_INTERNAL_EQ
thf(fact_246_autoref__REMOVE__INTERNAL__EQ,axiom,
    ! [C: $o > $o > $o,A4: $o > $o > $o,R3: set_Pr618353415_o_o_o,C2: $o > $o > $o] :
      ( ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ C @ A4 ) @ R3 )
     => ( ( autore990423178_o_o_o @ C @ C2 )
       => ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ C2 @ A4 ) @ R3 ) ) ) ).

% autoref_REMOVE_INTERNAL_EQ
thf(fact_247_autoref__REMOVE__INTERNAL__EQ,axiom,
    ! [C: nat > nat > $o,A4: nat > nat > $o,R3: set_Pr1659864199_nat_o,C2: nat > nat > $o] :
      ( ( member336854736_nat_o @ ( produc1593059991_nat_o @ C @ A4 ) @ R3 )
     => ( ( autore331323266_nat_o @ C @ C2 )
       => ( member336854736_nat_o @ ( produc1593059991_nat_o @ C2 @ A4 ) @ R3 ) ) ) ).

% autoref_REMOVE_INTERNAL_EQ
thf(fact_248_autoref__REMOVE__INTERNAL__EQ,axiom,
    ! [C: int > int > $o,A4: int > int > $o,R3: set_Pr1320171143_int_o,C2: int > int > $o] :
      ( ( member93171920_int_o @ ( produc1217921175_int_o @ C @ A4 ) @ R3 )
     => ( ( autore425620682_int_o @ C @ C2 )
       => ( member93171920_int_o @ ( produc1217921175_int_o @ C2 @ A4 ) @ R3 ) ) ) ).

% autoref_REMOVE_INTERNAL_EQ
thf(fact_249_autoref__REMOVE__INTERNAL__EQ,axiom,
    ! [C: ( nat > $o ) > nat > nat > $o,A4: ( nat > $o ) > nat > nat > $o,R3: set_Pr766923865_nat_o,C2: ( nat > $o ) > nat > nat > $o] :
      ( ( member1184737698_nat_o @ ( produc1206080049_nat_o @ C @ A4 ) @ R3 )
     => ( ( autore1319416560_nat_o @ C @ C2 )
       => ( member1184737698_nat_o @ ( produc1206080049_nat_o @ C2 @ A4 ) @ R3 ) ) ) ).

% autoref_REMOVE_INTERNAL_EQ
thf(fact_250_autoref__REMOVE__INTERNAL__EQ,axiom,
    ! [C: ( a > refine432681134nres_b ) > refine432681134nres_b,A4: ( c > refine449204144nres_d ) > refine449204144nres_d,R3: set_Pr797615136nres_d,C2: ( a > refine432681134nres_b ) > refine432681134nres_b] :
      ( ( member461830657nres_d @ ( produc2075136412nres_d @ C @ A4 ) @ R3 )
     => ( ( autore1360171649nres_b @ C @ C2 )
       => ( member461830657nres_d @ ( produc2075136412nres_d @ C2 @ A4 ) @ R3 ) ) ) ).

% autoref_REMOVE_INTERNAL_EQ
thf(fact_251_autoref__REMOVE__INTERNAL__EQ,axiom,
    ! [C: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b,A4: ( c > refine449204144nres_d ) > ( ( c > refine449204144nres_d ) > refine449204144nres_d ) > refine449204144nres_d,R3: set_Pr613277282nres_d,C2: ( a > refine432681134nres_b ) > ( ( a > refine432681134nres_b ) > refine432681134nres_b ) > refine432681134nres_b] :
      ( ( member660096835nres_d @ ( produc1910095910nres_d @ C @ A4 ) @ R3 )
     => ( ( autore233619284nres_b @ C @ C2 )
       => ( member660096835nres_d @ ( produc1910095910nres_d @ C2 @ A4 ) @ R3 ) ) ) ).

% autoref_REMOVE_INTERNAL_EQ
thf(fact_252_autoref__REMOVE__INTERNAL__EQ,axiom,
    ! [C: a > refine432681134nres_b,A4: c > refine449204144nres_d,R3: set_Pr589481214nres_d,C2: a > refine432681134nres_b] :
      ( ( member936907743nres_d @ ( produc210841666nres_d @ C @ A4 ) @ R3 )
     => ( ( autore519998265nres_b @ C @ C2 )
       => ( member936907743nres_d @ ( produc210841666nres_d @ C2 @ A4 ) @ R3 ) ) ) ).

% autoref_REMOVE_INTERNAL_EQ
thf(fact_253_autoref__REMOVE__INTERNAL__EQ,axiom,
    ! [C: a > ( a > refine432681134nres_b ) > refine432681134nres_b,A4: c > ( c > refine449204144nres_d ) > refine449204144nres_d,R3: set_Pr2080238504nres_d,C2: a > ( a > refine432681134nres_b ) > refine432681134nres_b] :
      ( ( member189721481nres_d @ ( produc627868012nres_d @ C @ A4 ) @ R3 )
     => ( ( autore1318775848nres_b @ C @ C2 )
       => ( member189721481nres_d @ ( produc627868012nres_d @ C2 @ A4 ) @ R3 ) ) ) ).

% autoref_REMOVE_INTERNAL_EQ
thf(fact_254_autoref__REMOVE__INTERNAL__EQ,axiom,
    ! [C: a,A4: c,R3: set_Product_prod_a_c,C2: a] :
      ( ( member466432594od_a_c @ ( product_Pair_a_c @ C @ A4 ) @ R3 )
     => ( ( autore1904863386L_EQ_a @ C @ C2 )
       => ( member466432594od_a_c @ ( product_Pair_a_c @ C2 @ A4 ) @ R3 ) ) ) ).

% autoref_REMOVE_INTERNAL_EQ
thf(fact_255_mem__Collect__eq,axiom,
    ! [A4: product_prod_o_o_o_o,P: product_prod_o_o_o_o > $o] :
      ( ( member250723412_o_o_o @ A4 @ ( collec1505367958_o_o_o @ P ) )
      = ( P @ A4 ) ) ).

% mem_Collect_eq
thf(fact_256_mem__Collect__eq,axiom,
    ! [A4: produc46704423_o_o_o,P: produc46704423_o_o_o > $o] :
      ( ( member62857552_o_o_o @ A4 @ ( collec149876626_o_o_o @ P ) )
      = ( P @ A4 ) ) ).

% mem_Collect_eq
thf(fact_257_mem__Collect__eq,axiom,
    ! [A4: produc724473255_nat_o,P: produc724473255_nat_o > $o] :
      ( ( member336854736_nat_o @ A4 @ ( collec1208105746_nat_o @ P ) )
      = ( P @ A4 ) ) ).

% mem_Collect_eq
thf(fact_258_mem__Collect__eq,axiom,
    ! [A4: produc480790439_int_o,P: produc480790439_int_o > $o] :
      ( ( member93171920_int_o @ A4 @ ( collec964422930_int_o @ P ) )
      = ( P @ A4 ) ) ).

% mem_Collect_eq
thf(fact_259_mem__Collect__eq,axiom,
    ! [A4: produc1314004473_nat_o,P: produc1314004473_nat_o > $o] :
      ( ( member1184737698_nat_o @ A4 @ ( collec1760248548_nat_o @ P ) )
      = ( P @ A4 ) ) ).

% mem_Collect_eq
thf(fact_260_mem__Collect__eq,axiom,
    ! [A4: produc1757587562nres_d,P: produc1757587562nres_d > $o] :
      ( ( member461830657nres_d @ A4 @ ( collec1671161663nres_d @ P ) )
      = ( P @ A4 ) ) ).

% mem_Collect_eq
thf(fact_261_mem__Collect__eq,axiom,
    ! [A4: produc809931564nres_d,P: produc809931564nres_d > $o] :
      ( ( member660096835nres_d @ A4 @ ( collec1321668993nres_d @ P ) )
      = ( P @ A4 ) ) ).

% mem_Collect_eq
thf(fact_262_mem__Collect__eq,axiom,
    ! [A4: produc2103861704nres_d,P: produc2103861704nres_d > $o] :
      ( ( member936907743nres_d @ A4 @ ( collec1639315997nres_d @ P ) )
      = ( P @ A4 ) ) ).

% mem_Collect_eq
thf(fact_263_mem__Collect__eq,axiom,
    ! [A4: produc1677145714nres_d,P: produc1677145714nres_d > $o] :
      ( ( member189721481nres_d @ A4 @ ( collec554837959nres_d @ P ) )
      = ( P @ A4 ) ) ).

% mem_Collect_eq
thf(fact_264_mem__Collect__eq,axiom,
    ! [A4: product_prod_a_c,P: product_prod_a_c > $o] :
      ( ( member466432594od_a_c @ A4 @ ( collec662378644od_a_c @ P ) )
      = ( P @ A4 ) ) ).

% mem_Collect_eq
thf(fact_265_Collect__mem__eq,axiom,
    ! [A: set_Pr934623755_o_o_o] :
      ( ( collec1505367958_o_o_o
        @ ^ [X6: product_prod_o_o_o_o] : ( member250723412_o_o_o @ X6 @ A ) )
      = A ) ).

% Collect_mem_eq
thf(fact_266_Collect__mem__eq,axiom,
    ! [A: set_Pr618353415_o_o_o] :
      ( ( collec149876626_o_o_o
        @ ^ [X6: produc46704423_o_o_o] : ( member62857552_o_o_o @ X6 @ A ) )
      = A ) ).

% Collect_mem_eq
thf(fact_267_Collect__mem__eq,axiom,
    ! [A: set_Pr1659864199_nat_o] :
      ( ( collec1208105746_nat_o
        @ ^ [X6: produc724473255_nat_o] : ( member336854736_nat_o @ X6 @ A ) )
      = A ) ).

% Collect_mem_eq
thf(fact_268_Collect__mem__eq,axiom,
    ! [A: set_Pr1320171143_int_o] :
      ( ( collec964422930_int_o
        @ ^ [X6: produc480790439_int_o] : ( member93171920_int_o @ X6 @ A ) )
      = A ) ).

% Collect_mem_eq
thf(fact_269_Collect__mem__eq,axiom,
    ! [A: set_Pr766923865_nat_o] :
      ( ( collec1760248548_nat_o
        @ ^ [X6: produc1314004473_nat_o] : ( member1184737698_nat_o @ X6 @ A ) )
      = A ) ).

% Collect_mem_eq
thf(fact_270_Collect__mem__eq,axiom,
    ! [A: set_Pr797615136nres_d] :
      ( ( collec1671161663nres_d
        @ ^ [X6: produc1757587562nres_d] : ( member461830657nres_d @ X6 @ A ) )
      = A ) ).

% Collect_mem_eq
thf(fact_271_Collect__mem__eq,axiom,
    ! [A: set_Pr613277282nres_d] :
      ( ( collec1321668993nres_d
        @ ^ [X6: produc809931564nres_d] : ( member660096835nres_d @ X6 @ A ) )
      = A ) ).

% Collect_mem_eq
thf(fact_272_Collect__mem__eq,axiom,
    ! [A: set_Pr589481214nres_d] :
      ( ( collec1639315997nres_d
        @ ^ [X6: produc2103861704nres_d] : ( member936907743nres_d @ X6 @ A ) )
      = A ) ).

% Collect_mem_eq
thf(fact_273_Collect__mem__eq,axiom,
    ! [A: set_Pr2080238504nres_d] :
      ( ( collec554837959nres_d
        @ ^ [X6: produc1677145714nres_d] : ( member189721481nres_d @ X6 @ A ) )
      = A ) ).

% Collect_mem_eq
thf(fact_274_Collect__mem__eq,axiom,
    ! [A: set_Product_prod_a_c] :
      ( ( collec662378644od_a_c
        @ ^ [X6: product_prod_a_c] : ( member466432594od_a_c @ X6 @ A ) )
      = A ) ).

% Collect_mem_eq
thf(fact_275_nres__monad1,axiom,
    ! [X: a,F: a > refine432681134nres_b] :
      ( ( refine436832839nd_a_b @ ( refine2063221604TURN_a @ X ) @ F )
      = ( F @ X ) ) ).

% nres_monad1
thf(fact_276_nres__monad1,axiom,
    ! [X: c,F: c > refine449204144nres_d] :
      ( ( refine2092371655nd_c_d @ ( refine2063221606TURN_c @ X ) @ F )
      = ( F @ X ) ) ).

% nres_monad1
thf(fact_277_nres__monad1,axiom,
    ! [X: d,F: d > refine440942639nres_c] :
      ( ( refine772657413nd_d_c @ ( refine2063221607TURN_d @ X ) @ F )
      = ( F @ X ) ) ).

% nres_monad1
thf(fact_278_nres__monad1,axiom,
    ! [X: c,F: c > refine440942639nres_c] :
      ( ( refine2092371654nd_c_c @ ( refine2063221606TURN_c @ X ) @ F )
      = ( F @ X ) ) ).

% nres_monad1
thf(fact_279_nres__monad1,axiom,
    ! [X: b,F: b > refine432681134nres_b] :
      ( ( refine1264602246nd_b_b @ ( refine2063221605TURN_b @ X ) @ F )
      = ( F @ X ) ) ).

% nres_monad1
thf(fact_280_nres__monad1,axiom,
    ! [X: b,F: b > refine424419629nres_a] :
      ( ( refine1264602245nd_b_a @ ( refine2063221605TURN_b @ X ) @ F )
      = ( F @ X ) ) ).

% nres_monad1
thf(fact_281_nres__monad1,axiom,
    ! [X: a,F: a > refine424419629nres_a] :
      ( ( refine436832838nd_a_a @ ( refine2063221604TURN_a @ X ) @ F )
      = ( F @ X ) ) ).

% nres_monad1
thf(fact_282_nres__monad2,axiom,
    ! [M3: refine440942639nres_c] :
      ( ( refine2092371654nd_c_c @ M3 @ refine2063221606TURN_c )
      = M3 ) ).

% nres_monad2
thf(fact_283_nres__monad2,axiom,
    ! [M3: refine432681134nres_b] :
      ( ( refine1264602246nd_b_b @ M3 @ refine2063221605TURN_b )
      = M3 ) ).

% nres_monad2
thf(fact_284_nres__monad2,axiom,
    ! [M3: refine424419629nres_a] :
      ( ( refine436832838nd_a_a @ M3 @ refine2063221604TURN_a )
      = M3 ) ).

% nres_monad2
thf(fact_285_fun__rel__id__simp,axiom,
    ( ( relAPP1326544636nt_int @ ( relAPP1991857966nt_int @ fun_re202574526nt_int @ id_int ) @ id_int )
    = id_int_int ) ).

% fun_rel_id_simp
thf(fact_286_fun__rel__id__simp,axiom,
    ( ( relAPP1766880508nt_nat @ ( relAPP1187211054nt_nat @ fun_re1799515654at_nat @ id_int ) @ id_nat )
    = id_int_nat ) ).

% fun_rel_id_simp
thf(fact_287_fun__rel__id__simp,axiom,
    ( ( relAPP1162049684_o_int @ ( relAPP267275756_o_int @ fun_rel_o_o_int_int @ id_o2 ) @ id_int )
    = id_o_int ) ).

% fun_rel_id_simp
thf(fact_288_fun__rel__id__simp,axiom,
    ( ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ id_o2 ) @ id_o2 )
    = id_o_o ) ).

% fun_rel_id_simp
thf(fact_289_fun__rel__id__simp,axiom,
    ( ( relAPP912835148_o_nat @ ( relAPP1320504740_o_nat @ fun_rel_o_o_nat_nat @ id_o2 ) @ id_nat )
    = id_o_nat ) ).

% fun_rel_id_simp
thf(fact_290_fun__rel__id__simp,axiom,
    ( ( relAPP965131844at_int @ ( relAPP1879625150at_int @ fun_re1088433670nt_int @ id_nat ) @ id_int )
    = id_nat_int ) ).

% fun_rel_id_simp
thf(fact_291_fun__rel__id__simp,axiom,
    ( ( relAPP1516271854_nat_o @ ( relAPP1569030304_nat_o @ fun_rel_nat_nat_o_o @ id_nat ) @ id_o2 )
    = id_nat_o ) ).

% fun_rel_id_simp
thf(fact_292_fun__rel__id__simp,axiom,
    ( ( relAPP1405467716at_nat @ ( relAPP1074978238at_nat @ fun_re537891150at_nat @ id_nat ) @ id_nat )
    = id_nat_nat ) ).

% fun_rel_id_simp
thf(fact_293_fun__rel__id__simp,axiom,
    ( ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ id_int ) @ id_o2 )
    = id_int_o ) ).

% fun_rel_id_simp
thf(fact_294_fun__rel__id__simp,axiom,
    ( ( relAPP1936960811nres_b @ ( relAPP1536875909nres_b @ fun_re1837693787nres_b @ id_a ) @ id_Ref1256934482nres_b )
    = id_a_R351071993nres_b ) ).

% fun_rel_id_simp
thf(fact_295_relprop__triggers_I3_J,axiom,
    ! [R3: set_Pr1858794777nt_int] :
      ( ( R3 = id_int )
     => ( id_int = R3 ) ) ).

% relprop_triggers(3)
thf(fact_296_relprop__triggers_I3_J,axiom,
    ! [R3: set_Product_prod_o_o] :
      ( ( R3 = id_o2 )
     => ( id_o2 = R3 ) ) ).

% relprop_triggers(3)
thf(fact_297_relprop__triggers_I3_J,axiom,
    ! [R3: set_Pr1986765409at_nat] :
      ( ( R3 = id_nat )
     => ( id_nat = R3 ) ) ).

% relprop_triggers(3)
thf(fact_298_relprop__triggers_I2_J,axiom,
    ! [R3: set_Pr1858794777nt_int] :
      ( ( R3 = id_int )
     => ( R3 = id_int ) ) ).

% relprop_triggers(2)
thf(fact_299_relprop__triggers_I2_J,axiom,
    ! [R3: set_Product_prod_o_o] :
      ( ( R3 = id_o2 )
     => ( R3 = id_o2 ) ) ).

% relprop_triggers(2)
thf(fact_300_relprop__triggers_I2_J,axiom,
    ! [R3: set_Pr1986765409at_nat] :
      ( ( R3 = id_nat )
     => ( R3 = id_nat ) ) ).

% relprop_triggers(2)
thf(fact_301_autoref__int_I6_J,axiom,
    ( member93171920_int_o
    @ ( produc1217921175_int_o
      @ ^ [Y5: int,Z: int] : Y5 = Z
      @ ^ [Y5: int,Z: int] : Y5 = Z )
    @ ( relAPP556082542_int_o @ ( relAPP1052348760_int_o @ fun_re986858916_int_o @ id_int ) @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ id_int ) @ id_o2 ) ) ) ).

% autoref_int(6)
thf(fact_302_autoref__nat_I7_J,axiom,
    ( member336854736_nat_o
    @ ( produc1593059991_nat_o
      @ ^ [Y5: nat,Z: nat] : Y5 = Z
      @ ^ [Y5: nat,Z: nat] : Y5 = Z )
    @ ( relAPP432724078_nat_o @ ( relAPP1989008800_nat_o @ fun_re1770844140_nat_o @ id_nat ) @ ( relAPP1516271854_nat_o @ ( relAPP1569030304_nat_o @ fun_rel_nat_nat_o_o @ id_nat ) @ id_o2 ) ) ) ).

% autoref_nat(7)
thf(fact_303_autoref__bool_I8_J,axiom,
    member62857552_o_o_o @ ( produc1847874839_o_o_o @ (=>) @ (=>) ) @ ( relAPP2105552994_o_o_o @ ( relAPP1591113530_o_o_o @ fun_rel_o_o_o_o_o_o @ id_o2 ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ id_o2 ) @ id_o2 ) ) ).

% autoref_bool(8)
thf(fact_304_autoref__bool_I4_J,axiom,
    member250723412_o_o_o @ ( product_Pair_o_o_o_o @ (~) @ (~) ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ id_o2 ) @ id_o2 ) ).

% autoref_bool(4)
thf(fact_305_autoref__bool_I3_J,axiom,
    member62857552_o_o_o @ ( produc1847874839_o_o_o @ (|) @ (|) ) @ ( relAPP2105552994_o_o_o @ ( relAPP1591113530_o_o_o @ fun_rel_o_o_o_o_o_o @ id_o2 ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ id_o2 ) @ id_o2 ) ) ).

% autoref_bool(3)
thf(fact_306_autoref__bool_I2_J,axiom,
    member62857552_o_o_o @ ( produc1847874839_o_o_o @ (&) @ (&) ) @ ( relAPP2105552994_o_o_o @ ( relAPP1591113530_o_o_o @ fun_rel_o_o_o_o_o_o @ id_o2 ) @ ( relAPP1579117490_o_o_o @ ( relAPP916474178_o_o_o @ fun_rel_o_o_o_o @ id_o2 ) @ id_o2 ) ) ).

% autoref_bool(2)
thf(fact_307_autoref__bool_I1_J,axiom,
    ! [X: $o] : ( member55945296od_o_o @ ( product_Pair_o_o @ X @ X ) @ id_o2 ) ).

% autoref_bool(1)
thf(fact_308_relprop__id__orient,axiom,
    ! [R3: set_Pr1858794777nt_int] :
      ( ( R3 = id_int )
     => ( id_int = R3 ) ) ).

% relprop_id_orient
thf(fact_309_relprop__id__orient,axiom,
    ! [R3: set_Product_prod_o_o] :
      ( ( R3 = id_o2 )
     => ( id_o2 = R3 ) ) ).

% relprop_id_orient
thf(fact_310_relprop__id__orient,axiom,
    ! [R3: set_Pr1986765409at_nat] :
      ( ( R3 = id_nat )
     => ( id_nat = R3 ) ) ).

% relprop_id_orient
thf(fact_311_rel__cong,axiom,
    ! [F: int > int,G: int > int,X: int,Y: int] :
      ( ( member1698479224nt_int @ ( produc422161031nt_int @ F @ G ) @ id_int_int )
     => ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ Y ) @ id_int )
       => ( member776767074nt_int @ ( product_Pair_int_int @ ( F @ X ) @ ( G @ Y ) ) @ id_int ) ) ) ).

% rel_cong
thf(fact_312_rel__cong,axiom,
    ! [F: int > $o,G: int > $o,X: int,Y: int] :
      ( ( member2072375312_int_o @ ( produc2007676503_int_o @ F @ G ) @ id_int_o )
     => ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ Y ) @ id_int )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( G @ Y ) ) @ id_o2 ) ) ) ).

% rel_cong
thf(fact_313_rel__cong,axiom,
    ! [F: int > nat,G: int > nat,X: int,Y: int] :
      ( ( member221455296nt_nat @ ( produc1419879375nt_nat @ F @ G ) @ id_int_nat )
     => ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ Y ) @ id_int )
       => ( member701585322at_nat @ ( product_Pair_nat_nat @ ( F @ X ) @ ( G @ Y ) ) @ id_nat ) ) ) ).

% rel_cong
thf(fact_314_rel__cong,axiom,
    ! [F: $o > int,G: $o > int,X: $o,Y: $o] :
      ( ( member1374144912_o_int @ ( produc1849784535_o_int @ F @ G ) @ id_o_int )
     => ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ Y ) @ id_o2 )
       => ( member776767074nt_int @ ( product_Pair_int_int @ ( F @ X ) @ ( G @ Y ) ) @ id_int ) ) ) ).

% rel_cong
thf(fact_315_rel__cong,axiom,
    ! [F: $o > nat,G: $o > nat,X: $o,Y: $o] :
      ( ( member296230032_o_nat @ ( produc1099128279_o_nat @ F @ G ) @ id_o_nat )
     => ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ Y ) @ id_o2 )
       => ( member701585322at_nat @ ( product_Pair_nat_nat @ ( F @ X ) @ ( G @ Y ) ) @ id_nat ) ) ) ).

% rel_cong
thf(fact_316_rel__cong,axiom,
    ! [F: nat > int,G: nat > int,X: nat,Y: nat] :
      ( ( member1589848000at_int @ ( produc1930602447at_int @ F @ G ) @ id_nat_int )
     => ( ( member701585322at_nat @ ( product_Pair_nat_nat @ X @ Y ) @ id_nat )
       => ( member776767074nt_int @ ( product_Pair_int_int @ ( F @ X ) @ ( G @ Y ) ) @ id_int ) ) ) ).

% rel_cong
thf(fact_317_rel__cong,axiom,
    ! [F: nat > $o,G: nat > $o,X: nat,Y: nat] :
      ( ( member1330470160_nat_o @ ( produc1218908503_nat_o @ F @ G ) @ id_nat_o )
     => ( ( member701585322at_nat @ ( product_Pair_nat_nat @ X @ Y ) @ id_nat )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( G @ Y ) ) @ id_o2 ) ) ) ).

% rel_cong
thf(fact_318_rel__cong,axiom,
    ! [F: nat > nat,G: nat > nat,X: nat,Y: nat] :
      ( ( member112824072at_nat @ ( produc780837143at_nat @ F @ G ) @ id_nat_nat )
     => ( ( member701585322at_nat @ ( product_Pair_nat_nat @ X @ Y ) @ id_nat )
       => ( member701585322at_nat @ ( product_Pair_nat_nat @ ( F @ X ) @ ( G @ Y ) ) @ id_nat ) ) ) ).

% rel_cong
thf(fact_319_rel__cong,axiom,
    ! [F: $o > $o,G: $o > $o,X: $o,Y: $o] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ F @ G ) @ id_o_o )
     => ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ Y ) @ id_o2 )
       => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( G @ Y ) ) @ id_o2 ) ) ) ).

% rel_cong
thf(fact_320_rel__cong,axiom,
    ! [F: int > $o > $o,G: int > $o > $o,X: int,Y: int] :
      ( ( member1749460202nt_o_o @ ( produc1684950905nt_o_o @ F @ G ) @ id_int_o_o )
     => ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ Y ) @ id_int )
       => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ ( G @ Y ) ) @ id_o_o ) ) ) ).

% rel_cong
thf(fact_321_rel__fun__cong,axiom,
    ! [F: $o > $o,G: $o > $o,X: $o] :
      ( ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ F @ G ) @ id_o_o )
     => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( G @ X ) ) @ id_o2 ) ) ).

% rel_fun_cong
thf(fact_322_rel__fun__cong,axiom,
    ! [F: $o > $o > $o,G: $o > $o > $o,X: $o] :
      ( ( member62857552_o_o_o @ ( produc1847874839_o_o_o @ F @ G ) @ id_o_o_o )
     => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ ( G @ X ) ) @ id_o_o ) ) ).

% rel_fun_cong
thf(fact_323_rel__fun__cong,axiom,
    ! [F: nat > nat > $o,G: nat > nat > $o,X: nat] :
      ( ( member336854736_nat_o @ ( produc1593059991_nat_o @ F @ G ) @ id_nat_nat_o )
     => ( member1330470160_nat_o @ ( produc1218908503_nat_o @ ( F @ X ) @ ( G @ X ) ) @ id_nat_o ) ) ).

% rel_fun_cong
thf(fact_324_rel__fun__cong,axiom,
    ! [F: int > int > $o,G: int > int > $o,X: int] :
      ( ( member93171920_int_o @ ( produc1217921175_int_o @ F @ G ) @ id_int_int_o )
     => ( member2072375312_int_o @ ( produc2007676503_int_o @ ( F @ X ) @ ( G @ X ) ) @ id_int_o ) ) ).

% rel_fun_cong
thf(fact_325_rel__fun__cong,axiom,
    ! [F: ( nat > $o ) > nat > nat > $o,G: ( nat > $o ) > nat > nat > $o,X: nat > $o] :
      ( ( member1184737698_nat_o @ ( produc1206080049_nat_o @ F @ G ) @ id_nat_o_nat_nat_o )
     => ( member336854736_nat_o @ ( produc1593059991_nat_o @ ( F @ X ) @ ( G @ X ) ) @ id_nat_nat_o ) ) ).

% rel_fun_cong
thf(fact_326_rel__arg__cong,axiom,
    ! [X: int,Y: int,F: int > int] :
      ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ Y ) @ id_int )
     => ( member776767074nt_int @ ( product_Pair_int_int @ ( F @ X ) @ ( F @ Y ) ) @ id_int ) ) ).

% rel_arg_cong
thf(fact_327_rel__arg__cong,axiom,
    ! [X: int,Y: int,F: int > $o] :
      ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ Y ) @ id_int )
     => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( F @ Y ) ) @ id_o2 ) ) ).

% rel_arg_cong
thf(fact_328_rel__arg__cong,axiom,
    ! [X: int,Y: int,F: int > nat] :
      ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ Y ) @ id_int )
     => ( member701585322at_nat @ ( product_Pair_nat_nat @ ( F @ X ) @ ( F @ Y ) ) @ id_nat ) ) ).

% rel_arg_cong
thf(fact_329_rel__arg__cong,axiom,
    ! [X: $o,Y: $o,F: $o > int] :
      ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ Y ) @ id_o2 )
     => ( member776767074nt_int @ ( product_Pair_int_int @ ( F @ X ) @ ( F @ Y ) ) @ id_int ) ) ).

% rel_arg_cong
thf(fact_330_rel__arg__cong,axiom,
    ! [X: $o,Y: $o,F: $o > $o] :
      ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ Y ) @ id_o2 )
     => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( F @ Y ) ) @ id_o2 ) ) ).

% rel_arg_cong
thf(fact_331_rel__arg__cong,axiom,
    ! [X: $o,Y: $o,F: $o > nat] :
      ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ Y ) @ id_o2 )
     => ( member701585322at_nat @ ( product_Pair_nat_nat @ ( F @ X ) @ ( F @ Y ) ) @ id_nat ) ) ).

% rel_arg_cong
thf(fact_332_rel__arg__cong,axiom,
    ! [X: nat,Y: nat,F: nat > int] :
      ( ( member701585322at_nat @ ( product_Pair_nat_nat @ X @ Y ) @ id_nat )
     => ( member776767074nt_int @ ( product_Pair_int_int @ ( F @ X ) @ ( F @ Y ) ) @ id_int ) ) ).

% rel_arg_cong
thf(fact_333_rel__arg__cong,axiom,
    ! [X: nat,Y: nat,F: nat > $o] :
      ( ( member701585322at_nat @ ( product_Pair_nat_nat @ X @ Y ) @ id_nat )
     => ( member55945296od_o_o @ ( product_Pair_o_o @ ( F @ X ) @ ( F @ Y ) ) @ id_o2 ) ) ).

% rel_arg_cong
thf(fact_334_rel__arg__cong,axiom,
    ! [X: nat,Y: nat,F: nat > nat] :
      ( ( member701585322at_nat @ ( product_Pair_nat_nat @ X @ Y ) @ id_nat )
     => ( member701585322at_nat @ ( product_Pair_nat_nat @ ( F @ X ) @ ( F @ Y ) ) @ id_nat ) ) ).

% rel_arg_cong
thf(fact_335_rel__arg__cong,axiom,
    ! [X: int,Y: int,F: int > $o > $o] :
      ( ( member776767074nt_int @ ( product_Pair_int_int @ X @ Y ) @ id_int )
     => ( member250723412_o_o_o @ ( product_Pair_o_o_o_o @ ( F @ X ) @ ( F @ Y ) ) @ id_o_o ) ) ).

% rel_arg_cong
thf(fact_336_fun__rel__id,axiom,
    ! [R1: set_Pr1858794777nt_int,R22: set_Pr94755271_int_o] :
      ( ( R1 = id_int )
     => ( ( R22 = id_int_o )
       => ( ( relAPP556082542_int_o @ ( relAPP1052348760_int_o @ fun_re986858916_int_o @ R1 ) @ R22 )
          = id_int_int_o ) ) ) ).

% fun_rel_id
thf(fact_337_fun__rel__id,axiom,
    ! [R1: set_Pr310822599_nat_o,R22: set_Pr1659864199_nat_o] :
      ( ( R1 = id_nat_o )
     => ( ( R22 = id_nat_nat_o )
       => ( ( relAPP752865152_nat_o @ ( relAPP16974672_nat_o @ fun_re881041610_nat_o @ R1 ) @ R22 )
          = id_nat_o_nat_nat_o ) ) ) ).

% fun_rel_id
thf(fact_338_fun__rel__id,axiom,
    ! [R1: set_Product_prod_a_a,R22: set_Pr896671762nres_b] :
      ( ( R1 = id_a )
     => ( ( R22 = id_Ref1256934482nres_b )
       => ( ( relAPP1936960811nres_b @ ( relAPP1536875909nres_b @ fun_re1837693787nres_b @ R1 ) @ R22 )
          = id_a_R351071993nres_b ) ) ) ).

% fun_rel_id
thf(fact_339_param__and__cong2,axiom,
    ! [A4: $o,A5: $o,B2: $o,B3: $o] :
      ( ( member55945296od_o_o @ ( product_Pair_o_o @ A4 @ A5 ) @ id_o2 )
     => ( ( A4
         => ( A5
           => ( member55945296od_o_o @ ( product_Pair_o_o @ B2 @ B3 ) @ id_o2 ) ) )
       => ( member55945296od_o_o
          @ ( product_Pair_o_o
            @ ( B2
              & A4 )
            @ ( B3
              & A5 ) )
          @ id_o2 ) ) ) ).

% param_and_cong2
thf(fact_340_param__and__cong1,axiom,
    ! [A4: $o,A5: $o,B2: $o,B3: $o] :
      ( ( member55945296od_o_o @ ( product_Pair_o_o @ A4 @ A5 ) @ id_o2 )
     => ( ( A4
         => ( A5
           => ( member55945296od_o_o @ ( product_Pair_o_o @ B2 @ B3 ) @ id_o2 ) ) )
       => ( member55945296od_o_o
          @ ( product_Pair_o_o
            @ ( A4
              & B2 )
            @ ( A5
              & B3 ) )
          @ id_o2 ) ) ) ).

% param_and_cong1
thf(fact_341_param__bool_I1_J,axiom,
    member55945296od_o_o @ ( product_Pair_o_o @ $true @ $true ) @ id_o2 ).

% param_bool(1)
thf(fact_342_param__bool_I2_J,axiom,
    member55945296od_o_o @ ( product_Pair_o_o @ $false @ $false ) @ id_o2 ).

% param_bool(2)
thf(fact_343_param__all__interval__nat,axiom,
    member1184737698_nat_o @ ( produc1206080049_nat_o @ all_interval_nat @ all_interval_nat ) @ ( relAPP752865152_nat_o @ ( relAPP16974672_nat_o @ fun_re881041610_nat_o @ ( relAPP1516271854_nat_o @ ( relAPP1569030304_nat_o @ fun_rel_nat_nat_o_o @ id_nat ) @ id_o2 ) ) @ ( relAPP432724078_nat_o @ ( relAPP1989008800_nat_o @ fun_re1770844140_nat_o @ id_nat ) @ ( relAPP1516271854_nat_o @ ( relAPP1569030304_nat_o @ fun_rel_nat_nat_o_o @ id_nat ) @ id_o2 ) ) ) ).

% param_all_interval_nat
thf(fact_344_autoref__int_I5_J,axiom,
    member93171920_int_o @ ( produc1217921175_int_o @ ord_less_eq_int @ ord_less_eq_int ) @ ( relAPP556082542_int_o @ ( relAPP1052348760_int_o @ fun_re986858916_int_o @ id_int ) @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ id_int ) @ id_o2 ) ) ).

% autoref_int(5)
thf(fact_345_autoref__nat_I6_J,axiom,
    member336854736_nat_o @ ( produc1593059991_nat_o @ ord_less_eq_nat @ ord_less_eq_nat ) @ ( relAPP432724078_nat_o @ ( relAPP1989008800_nat_o @ fun_re1770844140_nat_o @ id_nat ) @ ( relAPP1516271854_nat_o @ ( relAPP1569030304_nat_o @ fun_rel_nat_nat_o_o @ id_nat ) @ id_o2 ) ) ).

% autoref_nat(6)
thf(fact_346_autoref__int_I4_J,axiom,
    member93171920_int_o @ ( produc1217921175_int_o @ ord_less_int @ ord_less_int ) @ ( relAPP556082542_int_o @ ( relAPP1052348760_int_o @ fun_re986858916_int_o @ id_int ) @ ( relAPP1300204526_int_o @ ( relAPP630143064_int_o @ fun_rel_int_int_o_o @ id_int ) @ id_o2 ) ) ).

% autoref_int(4)
thf(fact_347_autoref__nat_I5_J,axiom,
    member336854736_nat_o @ ( produc1593059991_nat_o @ ord_less_nat @ ord_less_nat ) @ ( relAPP432724078_nat_o @ ( relAPP1989008800_nat_o @ fun_re1770844140_nat_o @ id_nat ) @ ( relAPP1516271854_nat_o @ ( relAPP1569030304_nat_o @ fun_rel_nat_nat_o_o @ id_nat ) @ id_o2 ) ) ).

% autoref_nat(5)
thf(fact_348_exists__leI,axiom,
    ! [N: nat,P: nat > $o] :
      ( ( ! [N2: nat] :
            ( ( ord_less_nat @ N2 @ N )
           => ~ ( P @ N2 ) )
       => ( P @ N ) )
     => ? [N3: nat] :
          ( ( ord_less_eq_nat @ N3 @ N )
          & ( P @ N3 ) ) ) ).

% exists_leI
thf(fact_349_less__than__bool__iff,axiom,
    ! [X: $o,Y: $o] :
      ( ( member55945296od_o_o @ ( product_Pair_o_o @ X @ Y ) @ refine1361002633n_bool )
      = ( ~ X
        & Y ) ) ).

% less_than_bool_iff

% Conjectures (1)
thf(conj_0,conjecture,
    member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) ).

%------------------------------------------------------------------------------