DT2H2X---1.9.5.THM-Ref.s

%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : ITP198^1 : TPTP v9.2.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Feb 25 08:56:21 AM UTC 2026

% Result   : Theorem 3.21s 1.75s
% Output   : Refutation 3.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   37 (  15 equ;   0 cnn)
%            Maximal formula atoms :    1 (   3 avg)
%            Number of connectives :  131 (   5   ~;   0   |;   0   &; 126   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :   38 (  37 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  233 ( 231 usr;   7 con; 0-4 aty)
%            Number of variables   :   18 (   6   ^;  12   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_char_real_o: $tType ).

thf(type_def_6,type,
    char: $tType ).

thf(type_def_7,type,
    real: $tType ).

thf(type_def_9,type,
    set_variable_real: $tType ).

thf(type_def_10,type,
    set_Pr268868489e_real: $tType ).

thf(type_def_11,type,
    set_char_real_real: $tType ).

thf(type_def_12,type,
    produc104944723e_real: $tType ).

thf(type_def_13,type,
    set_Pr307567739e_real: $tType ).

thf(type_def_14,type,
    set_char_real: $tType ).

thf(type_def_15,type,
    produc1020032539e_real: $tType ).

thf(type_def_16,type,
    set_Pr397354154e_real: $tType ).

thf(type_def_17,type,
    denotational_interp: $tType ).

thf(type_def_18,type,
    produc1993135732e_real: $tType ).

thf(type_def_19,type,
    produc2070499431real_o: $tType ).

thf(type_def_20,type,
    produc96687023l_real: $tType ).

thf(type_def_21,type,
    produc1606031907real_o: $tType ).

thf(type_def_22,type,
    produc1120170903e_real: $tType ).

thf(type_def_23,type,
    produc928489369r_real: $tType ).

thf(type_def_24,type,
    produc729247771l_real: $tType ).

thf(type_def_25,type,
    produc1416364679e_real: $tType ).

thf(type_def_26,type,
    produc2139219430r_real: $tType ).

thf(type_def_27,type,
    produc199503591e_real: $tType ).

thf(type_def_28,type,
    produc1014656201e_real: $tType ).

thf(type_def_29,type,
    set_ch845833233e_real: $tType ).

thf(type_def_30,type,
    set_Pr366573913real_o: $tType ).

thf(type_def_31,type,
    variable: $tType ).

thf(type_def_32,type,
    set_Pr1530225953e_real: $tType ).

thf(type_def_33,type,
    set_Pr1730352763l_real: $tType ).

thf(type_def_34,type,
    set_Pr821009180r_real: $tType ).

thf(type_def_35,type,
    produc1863992257e_real: $tType ).

thf(type_def_36,type,
    set_Pr1053253703real_o: $tType ).

thf(type_def_37,type,
    set_Pr1919093775l_real: $tType ).

thf(type_def_38,type,
    set_Pr42335993r_real: $tType ).

thf(type_def_39,type,
    set_Pr1588228599e_real: $tType ).

thf(type_def_40,type,
    set_Pr521705191e_real: $tType ).

thf(type_def_41,type,
    set_Pr1517071815e_real: $tType ).

thf(type_def_42,type,
    set_Pr605909289e_real: $tType ).

thf(func_def_0,type,
    set_Pr605909289e_real: $tType ).

thf(func_def_1,type,
    produc1014656201e_real: $tType ).

thf(func_def_2,type,
    set_Pr1517071815e_real: $tType ).

thf(func_def_3,type,
    produc199503591e_real: $tType ).

thf(func_def_4,type,
    set_Pr521705191e_real: $tType ).

thf(func_def_5,type,
    produc1416364679e_real: $tType ).

thf(func_def_6,type,
    set_Pr821009180r_real: $tType ).

thf(func_def_7,type,
    set_Pr397354154e_real: $tType ).

thf(func_def_8,type,
    produc2139219430r_real: $tType ).

thf(func_def_9,type,
    produc1993135732e_real: $tType ).

thf(func_def_10,type,
    set_Pr1588228599e_real: $tType ).

thf(func_def_11,type,
    set_Pr1730352763l_real: $tType ).

thf(func_def_12,type,
    set_Pr307567739e_real: $tType ).

thf(func_def_13,type,
    produc1120170903e_real: $tType ).

thf(func_def_14,type,
    produc729247771l_real: $tType ).

thf(func_def_15,type,
    produc1020032539e_real: $tType ).

thf(func_def_16,type,
    set_Pr366573913real_o: $tType ).

thf(func_def_17,type,
    set_Pr268868489e_real: $tType ).

thf(func_def_18,type,
    produc1606031907real_o: $tType ).

thf(func_def_19,type,
    produc104944723e_real: $tType ).

thf(func_def_20,type,
    set_Pr1919093775l_real: $tType ).

thf(func_def_21,type,
    set_ch845833233e_real: $tType ).

thf(func_def_22,type,
    produc96687023l_real: $tType ).

thf(func_def_23,type,
    set_Pr1053253703real_o: $tType ).

thf(func_def_24,type,
    produc2070499431real_o: $tType ).

thf(func_def_25,type,
    set_Pr1530225953e_real: $tType ).

thf(func_def_26,type,
    set_Pr42335993r_real: $tType ).

thf(func_def_27,type,
    produc1863992257e_real: $tType ).

thf(func_def_28,type,
    produc928489369r_real: $tType ).

thf(func_def_29,type,
    set_char_real_real: $tType ).

thf(func_def_30,type,
    set_char_real_o: $tType ).

thf(func_def_31,type,
    set_variable_real: $tType ).

thf(func_def_32,type,
    set_char_real: $tType ).

thf(func_def_33,type,
    denotational_interp: $tType ).

thf(func_def_34,type,
    variable: $tType ).

thf(func_def_35,type,
    char: $tType ).

thf(func_def_36,type,
    real: $tType ).

thf(func_def_37,type,
    bNF_Gr1652860930e_real: set_char_real_o > ( ( char > real > $o ) > char > set_variable_real > set_variable_real ) > set_Pr268868489e_real ).

thf(func_def_38,type,
    bNF_Gr574714974e_real: set_char_real_real > ( ( char > real > real ) > produc104944723e_real ) > set_Pr307567739e_real ).

thf(func_def_39,type,
    bNF_Gr2096011355e_real: set_char_real > ( ( char > real ) > produc1020032539e_real ) > set_Pr397354154e_real ).

thf(func_def_40,type,
    denotational_Consts: denotational_interp > char > real ).

thf(func_def_41,type,
    denotational_Funcs: denotational_interp > char > real > real ).

thf(func_def_42,type,
    denotational_Games: denotational_interp > char > set_variable_real > set_variable_real ).

thf(func_def_43,type,
    denotational_Preds: denotational_interp > char > real > $o ).

thf(func_def_44,type,
    denota1150374853interp: produc1993135732e_real > denotational_interp ).

thf(func_def_45,type,
    denotational_worlds: set_variable_real ).

thf(func_def_46,type,
    the_Pr1811203438real_o: ( produc2070499431real_o > $o ) > produc2070499431real_o ).

thf(func_def_47,type,
    the_Pr429269900e_real: ( produc104944723e_real > $o ) > produc104944723e_real ).

thf(func_def_48,type,
    the_Pr1196831286l_real: ( produc96687023l_real > $o ) > produc96687023l_real ).

thf(func_def_49,type,
    the_Pr1679925410e_real: ( produc1020032539e_real > $o ) > produc1020032539e_real ).

thf(func_def_50,type,
    the_Pr1930357084real_o: ( produc1606031907real_o > $o ) > produc1606031907real_o ).

thf(func_def_51,type,
    the_Pr198758430e_real: ( produc1120170903e_real > $o ) > produc1120170903e_real ).

thf(func_def_52,type,
    the_Pr1076580896r_real: ( produc928489369r_real > $o ) > produc928489369r_real ).

thf(func_def_53,type,
    the_Pr543709229e_real: ( produc1993135732e_real > $o ) > produc1993135732e_real ).

thf(func_def_54,type,
    if_real: $o > real > real > real ).

thf(func_def_55,type,
    bot_bo721182586e_real: set_variable_real ).

thf(func_def_56,type,
    ord_le1113654598e_real: set_variable_real > set_variable_real > $o ).

thf(func_def_57,type,
    ord_le2056633321e_real: set_Pr268868489e_real > set_Pr268868489e_real > $o ).

thf(func_def_58,type,
    ord_le780198939e_real: set_Pr307567739e_real > set_Pr307567739e_real > $o ).

thf(func_def_59,type,
    ord_le1631106314e_real: set_Pr397354154e_real > set_Pr397354154e_real > $o ).

thf(func_def_60,type,
    order_1507925822e_real: ( set_variable_real > set_variable_real ) > $o ).

thf(func_def_61,type,
    top_to239690646e_real: set_variable_real ).

thf(func_def_62,type,
    produc1566957527real_o: ( char > real > $o ) > ( char > real > $o ) > produc2070499431real_o ).

thf(func_def_63,type,
    produc2007437005e_real: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ).

thf(func_def_64,type,
    produc686464615l_real: ( char > real > real ) > ( char > real > real ) > produc96687023l_real ).

thf(func_def_65,type,
    produc141013715e_real: ( char > real > real ) > produc104944723e_real > produc1020032539e_real ).

thf(func_def_66,type,
    produc1285468373real_o: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc1606031907real_o ).

thf(func_def_67,type,
    produc525232719e_real: ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > produc1120170903e_real ).

thf(func_def_68,type,
    produc700235985r_real: ( char > real ) > ( char > real ) > produc928489369r_real ).

thf(func_def_69,type,
    produc2125489830e_real: ( char > real ) > produc1020032539e_real > produc1993135732e_real ).

thf(func_def_70,type,
    produc1053845203l_real: produc104944723e_real > ( char > real > real ) > produc729247771l_real ).

thf(func_def_71,type,
    produc1957227327e_real: produc104944723e_real > produc104944723e_real > produc1416364679e_real ).

thf(func_def_72,type,
    produc1317530464r_real: produc1020032539e_real > ( char > real ) > produc2139219430r_real ).

thf(func_def_73,type,
    produc680410711e_real: produc1020032539e_real > produc1020032539e_real > produc199503591e_real ).

thf(func_def_74,type,
    produc638505729e_real: produc1993135732e_real > produc1993135732e_real > produc1014656201e_real ).

thf(func_def_75,type,
    produc214490950real_o: ( char > real > $o ) > ( char > real > $o ) > ( char > real > $o ) > ( char > real > $o ) > $o ).

thf(func_def_76,type,
    produc210225566e_real: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ).

thf(func_def_77,type,
    produc1051282262l_real: ( char > real > real ) > ( char > real > real ) > ( char > real > real ) > ( char > real > real ) > $o ).

thf(func_def_78,type,
    produc619891650e_real: ( char > real > real ) > produc104944723e_real > ( char > real > real ) > produc104944723e_real > $o ).

thf(func_def_79,type,
    produc1635740582real_o: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ).

thf(func_def_80,type,
    produc1689380158e_real: ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ).

thf(func_def_81,type,
    produc885334464r_real: ( char > real ) > ( char > real ) > ( char > real ) > ( char > real ) > $o ).

thf(func_def_82,type,
    produc345845751e_real: ( char > real ) > produc1020032539e_real > ( char > real ) > produc1020032539e_real > $o ).

thf(func_def_83,type,
    produc1853244124e_real: set_char_real_o > ( ( char > real > $o ) > set_ch845833233e_real ) > set_Pr268868489e_real ).

thf(func_def_84,type,
    produc522711812e_real: set_char_real_real > ( ( char > real > real ) > set_Pr268868489e_real ) > set_Pr307567739e_real ).

thf(func_def_85,type,
    produc1131275492real_o: set_ch845833233e_real > ( ( char > set_variable_real > set_variable_real ) > set_char_real_o ) > set_Pr366573913real_o ).

thf(func_def_86,type,
    produc34356277e_real: set_char_real > ( ( char > real ) > set_Pr307567739e_real ) > set_Pr397354154e_real ).

thf(func_def_87,type,
    produc979346218e_real: set_variable_real > ( ( variable > real ) > set_variable_real ) > set_Pr1530225953e_real ).

thf(func_def_88,type,
    produc1435543300l_real: set_Pr268868489e_real > ( produc104944723e_real > set_char_real_real ) > set_Pr1730352763l_real ).

thf(func_def_89,type,
    produc1373880559r_real: set_Pr307567739e_real > ( produc1020032539e_real > set_char_real ) > set_Pr821009180r_real ).

thf(func_def_90,type,
    produc169502925al_o_o: ( produc2070499431real_o > $o ) > ( char > real > $o ) > ( char > real > $o ) > $o ).

thf(func_def_91,type,
    produc809977789real_o: ( produc104944723e_real > $o ) > ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ).

thf(func_def_92,type,
    produc311008957real_o: ( produc96687023l_real > $o ) > ( char > real > real ) > ( char > real > real ) > $o ).

thf(func_def_93,type,
    produc753879889real_o: ( produc1020032539e_real > $o ) > ( char > real > real ) > produc104944723e_real > $o ).

thf(func_def_94,type,
    produc647541685al_o_o: ( produc1606031907real_o > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ).

thf(func_def_95,type,
    produc1935758037real_o: ( produc1120170903e_real > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ).

thf(func_def_96,type,
    produc1735668179real_o: ( produc928489369r_real > $o ) > ( char > real ) > ( char > real ) > $o ).

thf(func_def_97,type,
    produc998184740real_o: ( produc1993135732e_real > $o ) > ( char > real ) > produc1020032539e_real > $o ).

thf(func_def_98,type,
    produc1070892532real_o: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real > $o ).

thf(func_def_99,type,
    produc584529143e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc104944723e_real ).

thf(func_def_100,type,
    produc677394266real_o: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real > $o ).

thf(func_def_101,type,
    produc1138486237e_real: ( ( char > real > real ) > produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1020032539e_real ).

thf(func_def_102,type,
    produc1941565183e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc104944723e_real ) > produc1606031907real_o > produc104944723e_real ).

thf(func_def_103,type,
    produc355430254e_real: ( ( char > real > $o ) > char > real > $o ) > ( ( char > set_variable_real > set_variable_real ) > char > set_variable_real > set_variable_real ) > produc104944723e_real > produc104944723e_real ).

thf(func_def_104,type,
    produc753666538e_real: ( ( char > real > $o ) > char > real > real ) > ( ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc1020032539e_real ).

thf(func_def_105,type,
    produc1251731407e_real: ( ( char > real > $o ) > char > real ) > ( ( char > set_variable_real > set_variable_real ) > produc1020032539e_real ) > produc104944723e_real > produc1993135732e_real ).

thf(func_def_106,type,
    produc683016410e_real: ( ( char > real > real ) > char > real > $o ) > ( produc104944723e_real > char > set_variable_real > set_variable_real ) > produc1020032539e_real > produc104944723e_real ).

thf(func_def_107,type,
    produc2131385966e_real: ( ( char > real > real ) > char > real > real ) > ( produc104944723e_real > produc104944723e_real ) > produc1020032539e_real > produc1020032539e_real ).

thf(func_def_108,type,
    produc348783435e_real: ( ( char > real > real ) > char > real ) > ( produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1993135732e_real ).

thf(func_def_109,type,
    produc1797673857e_real: ( ( char > real ) > char > real > $o ) > ( produc1020032539e_real > char > set_variable_real > set_variable_real ) > produc1993135732e_real > produc104944723e_real ).

thf(func_def_110,type,
    produc202772275e_real: ( ( char > real ) > char > real > real ) > ( produc1020032539e_real > produc104944723e_real ) > produc1993135732e_real > produc1020032539e_real ).

thf(func_def_111,type,
    produc552964208e_real: ( ( char > real ) > char > real ) > ( produc1020032539e_real > produc1020032539e_real ) > produc1993135732e_real > produc1993135732e_real ).

thf(func_def_112,type,
    produc2033648741real_o: ( ( char > real > $o ) > ( char > real > $o ) > $o ) > produc2070499431real_o ).

thf(func_def_113,type,
    produc540070591e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real ).

thf(func_def_114,type,
    produc606131701l_real: ( ( char > real > real ) > ( char > real > real ) > $o ) > produc96687023l_real ).

thf(func_def_115,type,
    produc877953633e_real: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real ).

thf(func_def_116,type,
    produc1965585607real_o: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ) > produc1606031907real_o ).

thf(func_def_117,type,
    produc1545903581e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc1120170903e_real ).

thf(func_def_118,type,
    produc1022533727r_real: ( ( char > real ) > ( char > real ) > $o ) > produc928489369r_real ).

thf(func_def_119,type,
    produc1448824728e_real: ( ( char > real ) > produc1020032539e_real > $o ) > produc1993135732e_real ).

thf(func_def_120,type,
    produc131289260al_o_o: ( ( char > real > $o ) > ( char > real > $o ) > $o ) > produc2070499431real_o > $o ).

thf(func_def_121,type,
    produc1629511198real_o: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real > $o ).

thf(func_def_122,type,
    produc1906464077e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc104944723e_real ).

thf(func_def_123,type,
    produc1095814172real_o: ( ( char > real > real ) > ( char > real > real ) > $o ) > produc96687023l_real > $o ).

thf(func_def_124,type,
    produc679978160real_o: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real > $o ).

thf(func_def_125,type,
    produc1202665267e_real: ( ( char > real > real ) > produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1020032539e_real ).

thf(func_def_126,type,
    produc1467075094al_o_o: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ) > produc1606031907real_o > $o ).

thf(func_def_127,type,
    produc1116016469e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc104944723e_real ) > produc1606031907real_o > produc104944723e_real ).

thf(func_def_128,type,
    produc143994420real_o: ( ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc1120170903e_real > $o ).

thf(func_def_129,type,
    produc1655853874real_o: ( ( char > real ) > ( char > real ) > $o ) > produc928489369r_real > $o ).

thf(func_def_130,type,
    produc569598981real_o: ( ( char > real ) > produc1020032539e_real > $o ) > produc1993135732e_real > $o ).

thf(func_def_131,type,
    produc315720647e_real: ( ( char > real ) > produc1020032539e_real > produc1993135732e_real ) > produc1993135732e_real > produc1993135732e_real ).

thf(func_def_132,type,
    produc1299805450real_o: ( ( variable > real ) > ( variable > real ) > $o ) > produc1863992257e_real > $o ).

thf(func_def_133,type,
    produc421130416real_o: ( produc104944723e_real > ( char > real > real ) > $o ) > produc729247771l_real > $o ).

thf(func_def_134,type,
    produc991789875e_real: ( produc104944723e_real > ( char > real > real ) > produc1020032539e_real ) > produc729247771l_real > produc1020032539e_real ).

thf(func_def_135,type,
    produc864726913e_real: ( produc1020032539e_real > ( char > real ) > produc1993135732e_real ) > produc2139219430r_real > produc1993135732e_real ).

thf(func_def_136,type,
    produc1486464481e_real: produc104944723e_real > char > real > $o ).

thf(func_def_137,type,
    produc634910399e_real: produc1020032539e_real > char > real > real ).

thf(func_def_138,type,
    produc764495849real_o: produc1606031907real_o > char > set_variable_real > set_variable_real ).

thf(func_def_139,type,
    produc1146879930e_real: produc1993135732e_real > char > real ).

thf(func_def_140,type,
    produc1547741887l_real: produc729247771l_real > produc104944723e_real ).

thf(func_def_141,type,
    produc338920564r_real: produc2139219430r_real > produc1020032539e_real ).

thf(func_def_142,type,
    produc504912415e_real: produc104944723e_real > char > set_variable_real > set_variable_real ).

thf(func_def_143,type,
    produc1179001601e_real: produc1020032539e_real > produc104944723e_real ).

thf(func_def_144,type,
    produc1930427431real_o: produc1606031907real_o > char > real > $o ).

thf(func_def_145,type,
    produc1176159992e_real: produc1993135732e_real > produc1020032539e_real ).

thf(func_def_146,type,
    produc2091833089l_real: produc729247771l_real > char > real > real ).

thf(func_def_147,type,
    produc368200626r_real: produc2139219430r_real > char > real ).

thf(func_def_148,type,
    produc443915639real_o: produc2070499431real_o > produc2070499431real_o ).

thf(func_def_149,type,
    produc914893101e_real: produc104944723e_real > produc1606031907real_o ).

thf(func_def_150,type,
    produc995978247l_real: produc96687023l_real > produc96687023l_real ).

thf(func_def_151,type,
    produc865271923e_real: produc1020032539e_real > produc729247771l_real ).

thf(func_def_152,type,
    produc192924469real_o: produc1606031907real_o > produc104944723e_real ).

thf(func_def_153,type,
    produc1656125423e_real: produc1120170903e_real > produc1120170903e_real ).

thf(func_def_154,type,
    produc1564675697r_real: produc928489369r_real > produc928489369r_real ).

thf(func_def_155,type,
    produc1726279942e_real: produc1993135732e_real > produc2139219430r_real ).

thf(func_def_156,type,
    produc1778103411l_real: produc729247771l_real > produc1020032539e_real ).

thf(func_def_157,type,
    produc918320576r_real: produc2139219430r_real > produc1993135732e_real ).

thf(func_def_158,type,
    inv_im1954866834real_o: set_Pr1053253703real_o > ( ( char > real > $o ) > char > real > $o ) > set_Pr1053253703real_o ).

thf(func_def_159,type,
    inv_im576609886l_real: set_Pr1053253703real_o > ( ( char > real > real ) > char > real > $o ) > set_Pr1919093775l_real ).

thf(func_def_160,type,
    inv_im255337747r_real: set_Pr1053253703real_o > ( ( char > real ) > char > real > $o ) > set_Pr42335993r_real ).

thf(func_def_161,type,
    inv_im1748900174real_o: set_Pr1919093775l_real > ( ( char > real > $o ) > char > real > real ) > set_Pr1053253703real_o ).

thf(func_def_162,type,
    inv_im2119069858l_real: set_Pr1919093775l_real > ( ( char > real > real ) > char > real > real ) > set_Pr1919093775l_real ).

thf(func_def_163,type,
    inv_im854642519r_real: set_Pr1919093775l_real > ( ( char > real ) > char > real > real ) > set_Pr42335993r_real ).

thf(func_def_164,type,
    inv_im710342731r_real: set_Pr1588228599e_real > ( ( char > real ) > char > set_variable_real > set_variable_real ) > set_Pr42335993r_real ).

thf(func_def_165,type,
    inv_im331529689real_o: set_Pr42335993r_real > ( ( char > real > $o ) > char > real ) > set_Pr1053253703real_o ).

thf(func_def_166,type,
    inv_im96827991l_real: set_Pr42335993r_real > ( ( char > real > real ) > char > real ) > set_Pr1919093775l_real ).

thf(func_def_167,type,
    inv_im817616652r_real: set_Pr42335993r_real > ( ( char > real ) > char > real ) > set_Pr42335993r_real ).

thf(func_def_168,type,
    collect_char_real_o: ( ( char > real > $o ) > $o ) > set_char_real_o ).

thf(func_def_169,type,
    collec1429138108l_real: ( ( char > real > real ) > $o ) > set_char_real_real ).

thf(func_def_170,type,
    collec425771440e_real: ( ( char > set_variable_real > set_variable_real ) > $o ) > set_ch845833233e_real ).

thf(func_def_171,type,
    collect_char_real: ( ( char > real ) > $o ) > set_char_real ).

thf(func_def_172,type,
    collec633296133e_real: ( ( variable > real ) > $o ) > set_variable_real ).

thf(func_def_173,type,
    collec1042577836e_real: ( produc1863992257e_real > $o ) > set_Pr1530225953e_real ).

thf(func_def_174,type,
    image_1599134823e_real: ( ( variable > real ) > variable > real ) > set_variable_real > set_variable_real ).

thf(func_def_175,type,
    image_448624581real_o: ( produc2070499431real_o > produc2070499431real_o ) > set_Pr1053253703real_o > set_Pr1053253703real_o ).

thf(func_def_176,type,
    image_670686893e_real: ( produc104944723e_real > produc104944723e_real ) > set_Pr268868489e_real > set_Pr268868489e_real ).

thf(func_def_177,type,
    image_1739334977e_real: ( produc104944723e_real > produc1020032539e_real ) > set_Pr268868489e_real > set_Pr307567739e_real ).

thf(func_def_178,type,
    image_24290429real_o: ( produc104944723e_real > produc1606031907real_o ) > set_Pr268868489e_real > set_Pr366573913real_o ).

thf(func_def_179,type,
    image_300296654e_real: ( produc104944723e_real > produc1993135732e_real ) > set_Pr268868489e_real > set_Pr397354154e_real ).

thf(func_def_180,type,
    image_1347499973l_real: ( produc96687023l_real > produc96687023l_real ) > set_Pr1919093775l_real > set_Pr1919093775l_real ).

thf(func_def_181,type,
    image_450993193e_real: ( produc1020032539e_real > produc104944723e_real ) > set_Pr307567739e_real > set_Pr268868489e_real ).

thf(func_def_182,type,
    image_1823533253e_real: ( produc1020032539e_real > produc1020032539e_real ) > set_Pr307567739e_real > set_Pr307567739e_real ).

thf(func_def_183,type,
    image_1698073930e_real: ( produc1020032539e_real > produc1993135732e_real ) > set_Pr307567739e_real > set_Pr397354154e_real ).

thf(func_def_184,type,
    image_1532748485l_real: ( produc1020032539e_real > produc729247771l_real ) > set_Pr307567739e_real > set_Pr1730352763l_real ).

thf(func_def_185,type,
    image_2028344445e_real: ( produc1606031907real_o > produc104944723e_real ) > set_Pr366573913real_o > set_Pr268868489e_real ).

thf(func_def_186,type,
    image_1495813573e_real: ( produc1120170903e_real > produc1120170903e_real ) > set_Pr1588228599e_real > set_Pr1588228599e_real ).

thf(func_def_187,type,
    image_1523756869r_real: ( produc928489369r_real > produc928489369r_real ) > set_Pr42335993r_real > set_Pr42335993r_real ).

thf(func_def_188,type,
    image_426244814e_real: ( produc1993135732e_real > produc104944723e_real ) > set_Pr397354154e_real > set_Pr268868489e_real ).

thf(func_def_189,type,
    image_479987936e_real: ( produc1993135732e_real > produc1020032539e_real ) > set_Pr397354154e_real > set_Pr307567739e_real ).

thf(func_def_190,type,
    image_866442351e_real: ( produc1993135732e_real > produc1993135732e_real ) > set_Pr397354154e_real > set_Pr397354154e_real ).

thf(func_def_191,type,
    image_1012526049r_real: ( produc1993135732e_real > produc2139219430r_real ) > set_Pr397354154e_real > set_Pr821009180r_real ).

thf(func_def_192,type,
    image_711552709e_real: ( produc729247771l_real > produc1020032539e_real ) > set_Pr1730352763l_real > set_Pr307567739e_real ).

thf(func_def_193,type,
    image_152725217e_real: ( produc2139219430r_real > produc1993135732e_real ) > set_Pr821009180r_real > set_Pr397354154e_real ).

thf(func_def_194,type,
    uSubst1505767257e_repc: denotational_interp > char > real > denotational_interp ).

thf(func_def_195,type,
    lex_pr2056840373e_real: set_Pr1053253703real_o > set_Pr1588228599e_real > set_Pr521705191e_real ).

thf(func_def_196,type,
    lex_pr592421611e_real: set_Pr1919093775l_real > set_Pr521705191e_real > set_Pr1517071815e_real ).

thf(func_def_197,type,
    lex_pr1793499278e_real: set_Pr42335993r_real > set_Pr1517071815e_real > set_Pr605909289e_real ).

thf(func_def_198,type,
    same_f1185518776e_real: ( ( char > real > $o ) > $o ) > ( ( char > real > $o ) > set_Pr1588228599e_real ) > set_Pr521705191e_real ).

thf(func_def_199,type,
    same_f1243548200e_real: ( ( char > real > real ) > $o ) > ( ( char > real > real ) > set_Pr521705191e_real ) > set_Pr1517071815e_real ).

thf(func_def_200,type,
    same_f764716049e_real: ( ( char > real ) > $o ) > ( ( char > real ) > set_Pr1517071815e_real ) > set_Pr605909289e_real ).

thf(func_def_201,type,
    member_char_real_o: ( char > real > $o ) > set_char_real_o > $o ).

thf(func_def_202,type,
    member312374654l_real: ( char > real > real ) > set_char_real_real > $o ).

thf(func_def_203,type,
    member2042895986e_real: ( char > set_variable_real > set_variable_real ) > set_ch845833233e_real > $o ).

thf(func_def_204,type,
    member_char_real: ( char > real ) > set_char_real > $o ).

thf(func_def_205,type,
    member_variable_real: ( variable > real ) > set_variable_real > $o ).

thf(func_def_206,type,
    member1795186320real_o: produc2070499431real_o > set_Pr1053253703real_o > $o ).

thf(func_def_207,type,
    member1871517162e_real: produc104944723e_real > set_Pr268868489e_real > $o ).

thf(func_def_208,type,
    member1801875544l_real: produc96687023l_real > set_Pr1919093775l_real > $o ).

thf(func_def_209,type,
    member544802500e_real: produc1020032539e_real > set_Pr307567739e_real > $o ).

thf(func_def_210,type,
    member1225120698real_o: produc1606031907real_o > set_Pr366573913real_o > $o ).

thf(func_def_211,type,
    member625963584e_real: produc1120170903e_real > set_Pr1588228599e_real > $o ).

thf(func_def_212,type,
    member1086859330r_real: produc928489369r_real > set_Pr42335993r_real > $o ).

thf(func_def_213,type,
    member1491807627e_real: produc1993135732e_real > set_Pr397354154e_real > $o ).

thf(func_def_214,type,
    member561592938e_real: produc1863992257e_real > set_Pr1530225953e_real > $o ).

thf(func_def_215,type,
    member254017732l_real: produc729247771l_real > set_Pr1730352763l_real > $o ).

thf(func_def_216,type,
    member2016544560e_real: produc1416364679e_real > set_Pr521705191e_real > $o ).

thf(func_def_217,type,
    member1637891325r_real: produc2139219430r_real > set_Pr821009180r_real > $o ).

thf(func_def_218,type,
    member1778419728e_real: produc199503591e_real > set_Pr1517071815e_real > $o ).

thf(func_def_219,type,
    member1966130802e_real: produc1014656201e_real > set_Pr605909289e_real > $o ).

thf(func_def_220,type,
    i: denotational_interp ).

thf(func_def_221,type,
    d: real ).

thf(func_def_222,type,
    f: char ).

thf(func_def_235,type,
    sK0: produc1993135732e_real > char > set_variable_real > set_variable_real ).

thf(func_def_236,type,
    sK1: produc1993135732e_real > char > real > $o ).

thf(func_def_237,type,
    sK2: produc1993135732e_real > char > real > real ).

thf(func_def_238,type,
    sK3: produc1993135732e_real > char > real ).

thf(func_def_239,type,
    sK4: ( produc1993135732e_real > $o ) > char > real > real ).

thf(func_def_240,type,
    sK5: ( produc1993135732e_real > $o ) > char > real ).

thf(func_def_241,type,
    sK6: ( produc1993135732e_real > $o ) > char > set_variable_real > set_variable_real ).

thf(func_def_242,type,
    sK7: ( produc1993135732e_real > $o ) > char > real > $o ).

thf(func_def_243,type,
    sK8: ( produc1020032539e_real > $o ) > produc104944723e_real ).

thf(func_def_244,type,
    sK9: ( produc1020032539e_real > $o ) > char > real > real ).

thf(func_def_245,type,
    sK10: ( produc1993135732e_real > $o ) > char > real ).

thf(func_def_246,type,
    sK11: ( produc1993135732e_real > $o ) > produc1020032539e_real ).

thf(func_def_247,type,
    sK12: produc1020032539e_real > char > set_variable_real > set_variable_real ).

thf(func_def_248,type,
    sK13: produc1020032539e_real > char > real > real ).

thf(func_def_249,type,
    sK14: produc1020032539e_real > char > real > $o ).

thf(func_def_250,type,
    sK15: produc1993135732e_real > produc104944723e_real ).

thf(func_def_251,type,
    sK16: produc1993135732e_real > char > real ).

thf(func_def_252,type,
    sK17: produc1993135732e_real > char > real > real ).

thf(func_def_253,type,
    sK18: produc104944723e_real > char > set_variable_real > set_variable_real ).

thf(func_def_254,type,
    sK19: produc104944723e_real > char > real > $o ).

thf(func_def_255,type,
    sK20: ( produc1020032539e_real > $o ) > char > real > real ).

thf(func_def_256,type,
    sK21: ( produc1020032539e_real > $o ) > char > real > $o ).

thf(func_def_257,type,
    sK22: ( produc1020032539e_real > $o ) > char > set_variable_real > set_variable_real ).

thf(func_def_258,type,
    sK23: ( produc1993135732e_real > $o ) > produc104944723e_real ).

thf(func_def_259,type,
    sK24: ( produc1993135732e_real > $o ) > char > real > real ).

thf(func_def_260,type,
    sK25: ( produc1993135732e_real > $o ) > char > real ).

thf(func_def_261,type,
    sK26: ( produc104944723e_real > $o ) > char > real > $o ).

thf(func_def_262,type,
    sK27: ( produc104944723e_real > $o ) > char > set_variable_real > set_variable_real ).

thf(func_def_263,type,
    sK28: produc1993135732e_real > char > real ).

thf(func_def_264,type,
    sK29: produc1993135732e_real > produc1020032539e_real ).

thf(func_def_265,type,
    sK30: produc104944723e_real > char > real > $o ).

thf(func_def_266,type,
    sK31: produc104944723e_real > char > set_variable_real > set_variable_real ).

thf(func_def_267,type,
    sK32: ( produc104944723e_real > $o ) > char > set_variable_real > set_variable_real ).

thf(func_def_268,type,
    sK33: ( produc104944723e_real > $o ) > char > real > $o ).

thf(func_def_269,type,
    sK34: produc1020032539e_real > produc104944723e_real ).

thf(func_def_270,type,
    sK35: produc1020032539e_real > char > real > real ).

thf(func_def_271,type,
    sK36: ( produc1020032539e_real > $o ) > char > real > real ).

thf(func_def_272,type,
    sK37: ( produc1020032539e_real > $o ) > produc104944723e_real ).

thf(func_def_273,type,
    sK38: produc1993135732e_real > produc1020032539e_real ).

thf(func_def_274,type,
    sK39: produc1993135732e_real > char > real ).

thf(func_def_275,type,
    sK40: ( produc1993135732e_real > $o ) > produc1020032539e_real ).

thf(func_def_276,type,
    sK41: ( produc1993135732e_real > $o ) > char > real ).

thf(func_def_277,type,
    sK42: produc1020032539e_real > char > real > real ).

thf(func_def_278,type,
    sK43: produc1020032539e_real > produc104944723e_real ).

thf(func_def_280,type,
    ph45: 
      !>[X0: $tType] : X0 ).

thf(f981,plain,
    $false,
    inference(subsumption_resolution,[status(thm)],[f963,f923]) ).

thf(f923,plain,
    ! [X2: char > real > real,X3: char > real > $o,X0: char > real,X1: char > set_variable_real > set_variable_real] :
      ( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ X0 @ ( produc141013715e_real @ X2 @ ( produc2007437005e_real @ X3 @ X1 ) ) ) ) )
      = X3 ),
    inference(cnf_transformation,[status(thm)],[f828]) ).

thf(f828,plain,
    ! [X0: char > real,X1: char > set_variable_real > set_variable_real,X2: char > real > real,X3: char > real > $o] :
      ( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ X0 @ ( produc141013715e_real @ X2 @ ( produc2007437005e_real @ X3 @ X1 ) ) ) ) )
      = X3 ),
    inference(rectify,[status(thm)],[f1]) ).

thf(f1,axiom,
    ! [X0: char > real,X3: char > set_variable_real > set_variable_real,X1: char > real > real,X2: char > real > $o] :
      ( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ X0 @ ( produc141013715e_real @ X1 @ ( produc2007437005e_real @ X2 @ X3 ) ) ) ) )
      = X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.zmmaJJm1aw/DTF2THF_2570.p',fact_0_Preds__mkinterp) ).

thf(f963,plain,
    ( ( denotational_Preds @ i )
   != ( denotational_Preds
      @ ( denota1150374853interp
        @ ( produc2125489830e_real
          @ ^ [Y0: char] : ( if_real @ ( f = Y0 ) @ d @ ( denotational_Consts @ i @ Y0 ) )
          @ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f825]) ).

thf(f825,plain,
    ( ( denotational_Preds @ i )
   != ( denotational_Preds
      @ ( denota1150374853interp
        @ ( produc2125489830e_real
          @ ^ [Y0: char] : ( if_real @ ( f = Y0 ) @ d @ ( denotational_Consts @ i @ Y0 ) )
          @ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) ) ),
    inference(flattening,[status(thm)],[f734]) ).

thf(f734,plain,
    ( ( denotational_Preds @ i )
   != ( denotational_Preds
      @ ( denota1150374853interp
        @ ( produc2125489830e_real
          @ ^ [Y0: char] : ( if_real @ ( f = Y0 ) @ d @ ( denotational_Consts @ i @ Y0 ) )
          @ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) ) ),
    inference(fool_elimination,[status(thm)],[f733]) ).

thf(f733,plain,
    ( ( denotational_Preds @ i )
   != ( denotational_Preds
      @ ( denota1150374853interp
        @ ( produc2125489830e_real
          @ ^ [X0: char] : ( if_real @ ( f = X0 ) @ d @ ( denotational_Consts @ i @ X0 ) )
          @ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) ) ),
    inference(rectify,[status(thm)],[f359]) ).

thf(f359,negated_conjecture,
    ( ( denotational_Preds @ i )
   != ( denotational_Preds
      @ ( denota1150374853interp
        @ ( produc2125489830e_real
          @ ^ [X9: char] : ( if_real @ ( f = X9 ) @ d @ ( denotational_Consts @ i @ X9 ) )
          @ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f358]) ).

thf(f358,conjecture,
    ( ( denotational_Preds @ i )
    = ( denotational_Preds
      @ ( denota1150374853interp
        @ ( produc2125489830e_real
          @ ^ [X9: char] : ( if_real @ ( f = X9 ) @ d @ ( denotational_Consts @ i @ X9 ) )
          @ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zmmaJJm1aw/DTF2THF_2570.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP198^1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.14  % Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.35  % Computer : n021.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Feb 24 08:30:24 EST 2026
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.26/0.47  ---- Original DTF file ---
% 0.26/0.47  thf(spec,logic,$$dhol).
% 0.26/0.47  %------------------------------------------------------------------------------
% 0.26/0.47  % File     : ITP198^1 : TPTP v9.2.1. Released v7.5.0.
% 0.26/0.47  % Domain   : Interactive Theorem Proving
% 0.26/0.47  % Problem  : Sledgehammer USubst problem prob_1023__6346468_1
% 0.26/0.47  % Version  : Especial.
% 0.26/0.47  % English  :
% 0.26/0.47  
% 0.26/0.47  % Refs     : [BH+15] Blanchette et al. (2015), Mining the Archive of Formal
% 0.26/0.47  %          : [Des21] Desharnais (2021), Email to Geoff Sutcliffe
% 0.26/0.47  % Source   : [Des21]
% 0.26/0.47  % Names    : USubst/prob_1023__6346468_1 [Des21]
% 0.26/0.47  
% 0.26/0.47  % Status   : Theorem
% 0.26/0.47  % Rating   : 0.33 v9.1.0, 0.12 v9.0.0, 0.30 v8.2.0, 0.31 v8.1.0, 0.36 v7.5.0
% 0.26/0.47  % Syntax   : Number of formulae    :  581 ( 242 unt; 223 typ;   0 def)
% 0.26/0.47  %            Number of atoms       :  744 ( 408 equ;   0 cnn)
% 0.26/0.47  %            Maximal formula atoms :    5 (   2 avg)
% 0.26/0.47  %            Number of connectives : 2581 (  78   ~;   4   |;  51   &;2225   @)
% 0.26/0.47  %                                         (   0 <=>; 223  =>;   0  <=;   0 <~>)
% 0.26/0.47  %            Maximal formula depth :   15 (   6 avg)
% 0.26/0.47  %            Number of types       :   38 (  37 usr)
% 0.26/0.47  %            Number of type conns  : 2463 (2463   >;   0   *;   0   +;   0  <<)
% 0.26/0.47  %            Number of symbols     :  189 ( 186 usr;   8 con; 0-4 aty)
% 0.26/0.47  %            Number of variables   : 1218 ( 165   ^;1031   !;  22   ?;1218   :)
% 0.26/0.47  % SPC      : TH0_THM_EQU_NAR
% 0.26/0.47  
% 0.26/0.47  % Comments : This file was generated by Sledgehammer 2021-02-23 15:36:34.994
% 0.26/0.47  %------------------------------------------------------------------------------
% 0.26/0.47  % Could-be-implicit typings (37)
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% 0.26/0.47      set_Pr1517071815e_real: $tType ).
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% 0.26/0.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 0.26/0.47      produc199503591e_real: $tType ).
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% 0.26/0.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
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% 0.26/0.47  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc1416364679e_real: $tType ).
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% 0.26/0.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_M_062_It__String__Ochar_Mt__Real__Oreal_J_J_J,type,
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% 0.26/0.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_J,type,
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% 0.26/0.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J_J,type,
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% 0.26/0.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
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% 0.26/0.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_J_J,type,
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% 0.26/0.47  
% 0.26/0.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J_J,type,
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% 0.26/0.47  
% 0.26/0.47  thf(ty_n_t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J,type,
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% 0.26/0.47  
% 0.26/0.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_M_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J,type,
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% 0.26/0.47  
% 0.26/0.47  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_M_062_It__String__Ochar_Mt__Real__Oreal_J_J_J,type,
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% 0.26/0.47  
% 0.26/0.47  thf(ty_n_t__Product____Type__Oprod_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_M_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J,type,
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% 0.26/0.47  thf(ty_n_t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_M_062_It__String__Ochar_Mt__Real__Oreal_J_J,type,
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% 0.26/0.47  
% 0.26/0.47  thf(ty_n_t__Set__Oset_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_J,type,
% 0.26/0.47      set_char_real_real: $tType ).
% 0.26/0.47  
% 0.26/0.47  thf(ty_n_t__Set__Oset_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J,type,
% 0.26/0.47      set_char_real_o: $tType ).
% 0.26/0.47  
% 0.26/0.47  thf(ty_n_t__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J,type,
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% 0.26/0.47  
% 0.26/0.47  thf(ty_n_t__Set__Oset_I_062_It__String__Ochar_Mt__Real__Oreal_J_J,type,
% 0.26/0.47      set_char_real: $tType ).
% 0.26/0.47  
% 0.26/0.47  thf(ty_n_t__Denotational____Semantics__Ointerp,type,
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% 0.26/0.47  thf(ty_n_t__Syntax__Ovariable,type,
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% 0.26/0.47  thf(ty_n_t__String__Ochar,type,
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% 0.26/0.47  
% 0.26/0.47  thf(ty_n_t__Real__Oreal,type,
% 0.26/0.47      real: $tType ).
% 0.26/0.47  
% 0.26/0.47  % Explicit typings (186)
% 0.26/0.47  thf(sy_c_BNF__Def_OGr_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
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% 0.26/0.47  thf(sy_c_BNF__Def_OGr_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
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% 0.26/0.47  thf(sy_c_BNF__Def_OGr_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
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% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Denotational__Semantics_OConsts,type,
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% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Denotational__Semantics_OFuncs,type,
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% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Denotational__Semantics_OGames,type,
% 0.26/0.47      denotational_Games: denotational_interp > char > set_variable_real > set_variable_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Denotational__Semantics_OPreds,type,
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% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Denotational__Semantics_Omkinterp,type,
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% 0.26/0.47  thf(sy_c_Denotational__Semantics_Oworlds,type,
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% 0.26/0.47  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J,type,
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% 0.26/0.47  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
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% 0.26/0.47  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_J,type,
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% 0.26/0.47  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
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% 0.26/0.47  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J,type,
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% 0.26/0.47  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
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% 0.26/0.47  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_M_062_It__String__Ochar_Mt__Real__Oreal_J_J,type,
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% 0.26/0.47  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
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% 0.26/0.47  thf(sy_c_If_001t__Real__Oreal,type,
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% 0.26/0.47  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J,type,
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% 0.26/0.47  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J,type,
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% 0.26/0.47  thf(sy_c_Orderings_Oorder__class_Omono_001t__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_001t__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J,type,
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% 0.26/0.47  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J,type,
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% 0.26/0.47  thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
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% 0.26/0.47  thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
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% 0.26/0.47  thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
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% 0.26/0.47  thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
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% 0.26/0.47  thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
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% 0.26/0.47      produc1317530464r_real: produc1020032539e_real > ( char > real ) > produc2139219430r_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc680410711e_real: produc1020032539e_real > produc1020032539e_real > produc199503591e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 0.26/0.47      produc638505729e_real: produc1993135732e_real > produc1993135732e_real > produc1014656201e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 0.26/0.47      produc214490950real_o: ( char > real > $o ) > ( char > real > $o ) > ( char > real > $o ) > ( char > real > $o ) > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 0.26/0.47      produc210225566e_real: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 0.26/0.47      produc1051282262l_real: ( char > real > real ) > ( char > real > real ) > ( char > real > real ) > ( char > real > real ) > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 0.26/0.47      produc619891650e_real: ( char > real > real ) > produc104944723e_real > ( char > real > real ) > produc104944723e_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 0.26/0.47      produc1635740582real_o: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 0.26/0.47      produc1689380158e_real: ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 0.26/0.47      produc885334464r_real: ( char > real ) > ( char > real ) > ( char > real ) > ( char > real ) > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc345845751e_real: ( char > real ) > produc1020032539e_real > ( char > real ) > produc1020032539e_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OSigma_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 0.26/0.47      produc1853244124e_real: set_char_real_o > ( ( char > real > $o ) > set_ch845833233e_real ) > set_Pr268868489e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OSigma_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 0.26/0.47      produc522711812e_real: set_char_real_real > ( ( char > real > real ) > set_Pr268868489e_real ) > set_Pr307567739e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OSigma_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 0.26/0.47      produc1131275492real_o: set_ch845833233e_real > ( ( char > set_variable_real > set_variable_real ) > set_char_real_o ) > set_Pr366573913real_o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OSigma_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc34356277e_real: set_char_real > ( ( char > real ) > set_Pr307567739e_real ) > set_Pr397354154e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OSigma_001_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_001_062_It__Syntax__Ovariable_Mt__Real__Oreal_J,type,
% 0.26/0.47      produc979346218e_real: set_variable_real > ( ( variable > real ) > set_variable_real ) > set_Pr1530225953e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 0.26/0.47      produc1435543300l_real: set_Pr268868489e_real > ( produc104944723e_real > set_char_real_real ) > set_Pr1730352763l_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 0.26/0.47      produc1373880559r_real: set_Pr307567739e_real > ( produc1020032539e_real > set_char_real ) > set_Pr821009180r_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_Eo,type,
% 0.26/0.47      produc169502925al_o_o: ( produc2070499431real_o > $o ) > ( char > real > $o ) > ( char > real > $o ) > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_Eo,type,
% 0.26/0.47      produc809977789real_o: ( produc104944723e_real > $o ) > ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_Eo,type,
% 0.26/0.47      produc311008957real_o: ( produc96687023l_real > $o ) > ( char > real > real ) > ( char > real > real ) > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_Eo,type,
% 0.26/0.47      produc753879889real_o: ( produc1020032539e_real > $o ) > ( char > real > real ) > produc104944723e_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_Eo,type,
% 0.26/0.47      produc647541685al_o_o: ( produc1606031907real_o > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_Eo,type,
% 0.26/0.47      produc1935758037real_o: ( produc1120170903e_real > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_Eo,type,
% 0.26/0.47      produc1735668179real_o: ( produc928489369r_real > $o ) > ( char > real ) > ( char > real ) > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_Eo,type,
% 0.26/0.47      produc998184740real_o: ( produc1993135732e_real > $o ) > ( char > real ) > produc1020032539e_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_Eo,type,
% 0.26/0.47      produc1070892532real_o: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 0.26/0.47      produc584529143e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc104944723e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_Eo,type,
% 0.26/0.47      produc677394266real_o: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc1138486237e_real: ( ( char > real > real ) > produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1020032539e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 0.26/0.47      produc1941565183e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc104944723e_real ) > produc1606031907real_o > produc104944723e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 0.26/0.47      produc355430254e_real: ( ( char > real > $o ) > char > real > $o ) > ( ( char > set_variable_real > set_variable_real ) > char > set_variable_real > set_variable_real ) > produc104944723e_real > produc104944723e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 0.26/0.47      produc753666538e_real: ( ( char > real > $o ) > char > real > real ) > ( ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc1020032539e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc1251731407e_real: ( ( char > real > $o ) > char > real ) > ( ( char > set_variable_real > set_variable_real ) > produc1020032539e_real ) > produc104944723e_real > produc1993135732e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 0.26/0.47      produc683016410e_real: ( ( char > real > real ) > char > real > $o ) > ( produc104944723e_real > char > set_variable_real > set_variable_real ) > produc1020032539e_real > produc104944723e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 0.26/0.47      produc2131385966e_real: ( ( char > real > real ) > char > real > real ) > ( produc104944723e_real > produc104944723e_real ) > produc1020032539e_real > produc1020032539e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc348783435e_real: ( ( char > real > real ) > char > real ) > ( produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1993135732e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 0.26/0.47      produc1797673857e_real: ( ( char > real ) > char > real > $o ) > ( produc1020032539e_real > char > set_variable_real > set_variable_real ) > produc1993135732e_real > produc104944723e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 0.26/0.47      produc202772275e_real: ( ( char > real ) > char > real > real ) > ( produc1020032539e_real > produc104944723e_real ) > produc1993135732e_real > produc1020032539e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc552964208e_real: ( ( char > real ) > char > real ) > ( produc1020032539e_real > produc1020032539e_real ) > produc1993135732e_real > produc1993135732e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 0.26/0.47      produc2033648741real_o: ( ( char > real > $o ) > ( char > real > $o ) > $o ) > produc2070499431real_o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 0.26/0.47      produc540070591e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 0.26/0.47      produc606131701l_real: ( ( char > real > real ) > ( char > real > real ) > $o ) > produc96687023l_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 0.26/0.47      produc877953633e_real: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 0.26/0.47      produc1965585607real_o: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ) > produc1606031907real_o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 0.26/0.47      produc1545903581e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc1120170903e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 0.26/0.47      produc1022533727r_real: ( ( char > real ) > ( char > real ) > $o ) > produc928489369r_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc1448824728e_real: ( ( char > real ) > produc1020032539e_real > $o ) > produc1993135732e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_Eo,type,
% 0.26/0.47      produc131289260al_o_o: ( ( char > real > $o ) > ( char > real > $o ) > $o ) > produc2070499431real_o > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_Eo,type,
% 0.26/0.47      produc1629511198real_o: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 0.26/0.47      produc1906464077e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc104944723e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_Eo,type,
% 0.26/0.47      produc1095814172real_o: ( ( char > real > real ) > ( char > real > real ) > $o ) > produc96687023l_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_Eo,type,
% 0.26/0.47      produc679978160real_o: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc1202665267e_real: ( ( char > real > real ) > produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1020032539e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_Eo,type,
% 0.26/0.47      produc1467075094al_o_o: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ) > produc1606031907real_o > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 0.26/0.47      produc1116016469e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc104944723e_real ) > produc1606031907real_o > produc104944723e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_Eo,type,
% 0.26/0.47      produc143994420real_o: ( ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc1120170903e_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_Eo,type,
% 0.26/0.47      produc1655853874real_o: ( ( char > real ) > ( char > real ) > $o ) > produc928489369r_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_Eo,type,
% 0.26/0.47      produc569598981real_o: ( ( char > real ) > produc1020032539e_real > $o ) > produc1993135732e_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 0.26/0.47      produc315720647e_real: ( ( char > real ) > produc1020032539e_real > produc1993135732e_real ) > produc1993135732e_real > produc1993135732e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_001_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_001_Eo,type,
% 0.26/0.47      produc1299805450real_o: ( ( variable > real ) > ( variable > real ) > $o ) > produc1863992257e_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_Eo,type,
% 0.26/0.47      produc421130416real_o: ( produc104944723e_real > ( char > real > real ) > $o ) > produc729247771l_real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc991789875e_real: ( produc104944723e_real > ( char > real > real ) > produc1020032539e_real ) > produc729247771l_real > produc1020032539e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 0.26/0.47      produc864726913e_real: ( produc1020032539e_real > ( char > real ) > produc1993135732e_real ) > produc2139219430r_real > produc1993135732e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ofst_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 0.26/0.47      produc1486464481e_real: produc104944723e_real > char > real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ofst_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 0.26/0.47      produc634910399e_real: produc1020032539e_real > char > real > real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ofst_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 0.26/0.47      produc764495849real_o: produc1606031907real_o > char > set_variable_real > set_variable_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ofst_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc1146879930e_real: produc1993135732e_real > char > real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ofst_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 0.26/0.47      produc1547741887l_real: produc729247771l_real > produc104944723e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Ofst_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 0.26/0.47      produc338920564r_real: produc2139219430r_real > produc1020032539e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Osnd_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 0.26/0.47      produc504912415e_real: produc104944723e_real > char > set_variable_real > set_variable_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Osnd_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 0.26/0.47      produc1179001601e_real: produc1020032539e_real > produc104944723e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Osnd_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 0.26/0.47      produc1930427431real_o: produc1606031907real_o > char > real > $o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Osnd_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc1176159992e_real: produc1993135732e_real > produc1020032539e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Osnd_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 0.26/0.47      produc2091833089l_real: produc729247771l_real > char > real > real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Osnd_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 0.26/0.47      produc368200626r_real: produc2139219430r_real > char > real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 0.26/0.47      produc443915639real_o: produc2070499431real_o > produc2070499431real_o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 0.26/0.47      produc914893101e_real: produc104944723e_real > produc1606031907real_o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 0.26/0.47      produc995978247l_real: produc96687023l_real > produc96687023l_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 0.26/0.47      produc865271923e_real: produc1020032539e_real > produc729247771l_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 0.26/0.47      produc192924469real_o: produc1606031907real_o > produc104944723e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 0.26/0.47      produc1656125423e_real: produc1120170903e_real > produc1120170903e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 0.26/0.47      produc1564675697r_real: produc928489369r_real > produc928489369r_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 0.26/0.47      produc1726279942e_real: produc1993135732e_real > produc2139219430r_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Oswap_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 0.26/0.47      produc1778103411l_real: produc729247771l_real > produc1020032539e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Product__Type_Oprod_Oswap_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 0.26/0.47      produc918320576r_real: produc2139219430r_real > produc1993135732e_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 0.26/0.47      inv_im1954866834real_o: set_Pr1053253703real_o > ( ( char > real > $o ) > char > real > $o ) > set_Pr1053253703real_o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 0.26/0.47      inv_im576609886l_real: set_Pr1053253703real_o > ( ( char > real > real ) > char > real > $o ) > set_Pr1919093775l_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 0.26/0.47      inv_im255337747r_real: set_Pr1053253703real_o > ( ( char > real ) > char > real > $o ) > set_Pr42335993r_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 0.26/0.47      inv_im1748900174real_o: set_Pr1919093775l_real > ( ( char > real > $o ) > char > real > real ) > set_Pr1053253703real_o ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 0.26/0.47      inv_im2119069858l_real: set_Pr1919093775l_real > ( ( char > real > real ) > char > real > real ) > set_Pr1919093775l_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 0.26/0.47      inv_im854642519r_real: set_Pr1919093775l_real > ( ( char > real ) > char > real > real ) > set_Pr42335993r_real ).
% 0.26/0.47  
% 0.26/0.47  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
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% 0.26/0.47  thf(sy_c_Wfrec_Osame__fst_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
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% 0.26/0.47  thf(sy_c_Wfrec_Osame__fst_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
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% 0.26/0.47  thf(sy_c_Wfrec_Osame__fst_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
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% 0.26/0.47  thf(sy_c_member_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
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% 0.26/0.47  thf(sy_c_member_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
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% 0.26/0.47  
% 0.26/0.47  thf(sy_c_member_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
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% 0.26/0.47  thf(sy_c_member_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
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% 0.26/0.47  thf(sy_c_member_001_062_It__Syntax__Ovariable_Mt__Real__Oreal_J,type,
% 0.26/0.47      member_variable_real: ( variable > real ) > set_variable_real > $o ).
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% 0.26/0.47  thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J,type,
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% 0.26/0.47  thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
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% 0.26/0.47  thf(sy_v_d,type,
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% 0.26/0.47  thf(sy_v_f,type,
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% 0.26/0.47  
% 0.26/0.47  % Relevant facts (354)
% 0.26/0.47  thf(fact_0_Preds__mkinterp,axiom,
% 0.26/0.47      ! [C: char > real,F: char > real > real,P: char > real > $o,G: char > set_variable_real > set_variable_real] :
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% 0.26/0.47  % Preds_mkinterp
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% 0.26/0.47      ! [C: char > real,F: char > real > real,P: char > real > $o,G: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( denotational_Funcs @ ( denota1150374853interp @ ( produc2125489830e_real @ C @ ( produc141013715e_real @ F @ ( produc2007437005e_real @ P @ G ) ) ) ) )
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% 0.26/0.47  % Funcs_mkinterp
% 0.26/0.47  thf(fact_2_Consts__mkinterp,axiom,
% 0.26/0.47      ! [C: char > real,F: char > real > real,P: char > real > $o,G: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( denotational_Consts @ ( denota1150374853interp @ ( produc2125489830e_real @ C @ ( produc141013715e_real @ F @ ( produc2007437005e_real @ P @ G ) ) ) ) )
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% 0.26/0.47  
% 0.26/0.47  % Consts_mkinterp
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% 0.26/0.47      ! [I: denotational_interp,J: denotational_interp] :
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% 0.26/0.47            = ( denotational_Consts @ J ) )
% 0.26/0.47          & ( ( denotational_Funcs @ I )
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% 0.26/0.47          & ( ( denotational_Preds @ I )
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% 0.26/0.47          & ( ( denotational_Games @ I )
% 0.26/0.47            = ( denotational_Games @ J ) ) )
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% 0.26/0.47  % mkinterp_eq
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% 0.26/0.47      ( uSubst1505767257e_repc
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% 0.26/0.47              @ ^ [C2: char] : ( if_real @ ( C2 = F2 ) @ D @ ( denotational_Consts @ I2 @ C2 ) )
% 0.26/0.47              @ ( produc141013715e_real @ ( denotational_Funcs @ I2 ) @ ( produc2007437005e_real @ ( denotational_Preds @ I2 ) @ ( denotational_Games @ I2 ) ) ) ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % repc_def
% 0.26/0.47  thf(fact_5_prod__cases4,axiom,
% 0.26/0.47      ! [Y: produc1993135732e_real] :
% 0.26/0.47        ~ ! [A: char > real,B: char > real > real,C3: char > real > $o,D2: char > set_variable_real > set_variable_real] :
% 0.26/0.47            ( Y
% 0.26/0.47           != ( produc2125489830e_real @ A @ ( produc141013715e_real @ B @ ( produc2007437005e_real @ C3 @ D2 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_cases4
% 0.26/0.47  thf(fact_6_prod__induct4,axiom,
% 0.26/0.47      ! [P: produc1993135732e_real > $o,X: produc1993135732e_real] :
% 0.26/0.47        ( ! [A: char > real,B: char > real > real,C3: char > real > $o,D2: char > set_variable_real > set_variable_real] : ( P @ ( produc2125489830e_real @ A @ ( produc141013715e_real @ B @ ( produc2007437005e_real @ C3 @ D2 ) ) ) )
% 0.26/0.47       => ( P @ X ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_induct4
% 0.26/0.47  thf(fact_7_old_Oprod_Oinject,axiom,
% 0.26/0.47      ! [A2: char > real,B2: char > real,A3: char > real,B3: char > real] :
% 0.26/0.47        ( ( ( produc700235985r_real @ A2 @ B2 )
% 0.26/0.47          = ( produc700235985r_real @ A3 @ B3 ) )
% 0.26/0.47        = ( ( A2 = A3 )
% 0.26/0.47          & ( B2 = B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inject
% 0.26/0.47  thf(fact_8_old_Oprod_Oinject,axiom,
% 0.26/0.47      ! [A2: char > real > real,B2: char > real > real,A3: char > real > real,B3: char > real > real] :
% 0.26/0.47        ( ( ( produc686464615l_real @ A2 @ B2 )
% 0.26/0.47          = ( produc686464615l_real @ A3 @ B3 ) )
% 0.26/0.47        = ( ( A2 = A3 )
% 0.26/0.47          & ( B2 = B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inject
% 0.26/0.47  thf(fact_9_old_Oprod_Oinject,axiom,
% 0.26/0.47      ! [A2: char > real > $o,B2: char > real > $o,A3: char > real > $o,B3: char > real > $o] :
% 0.26/0.47        ( ( ( produc1566957527real_o @ A2 @ B2 )
% 0.26/0.47          = ( produc1566957527real_o @ A3 @ B3 ) )
% 0.26/0.47        = ( ( A2 = A3 )
% 0.26/0.47          & ( B2 = B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inject
% 0.26/0.47  thf(fact_10_old_Oprod_Oinject,axiom,
% 0.26/0.47      ! [A2: char > set_variable_real > set_variable_real,B2: char > real > $o,A3: char > set_variable_real > set_variable_real,B3: char > real > $o] :
% 0.26/0.47        ( ( ( produc1285468373real_o @ A2 @ B2 )
% 0.26/0.47          = ( produc1285468373real_o @ A3 @ B3 ) )
% 0.26/0.47        = ( ( A2 = A3 )
% 0.26/0.47          & ( B2 = B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inject
% 0.26/0.47  thf(fact_11_old_Oprod_Oinject,axiom,
% 0.26/0.47      ! [A2: char > set_variable_real > set_variable_real,B2: char > set_variable_real > set_variable_real,A3: char > set_variable_real > set_variable_real,B3: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( ( produc525232719e_real @ A2 @ B2 )
% 0.26/0.47          = ( produc525232719e_real @ A3 @ B3 ) )
% 0.26/0.47        = ( ( A2 = A3 )
% 0.26/0.47          & ( B2 = B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inject
% 0.26/0.47  thf(fact_12_old_Oprod_Oinject,axiom,
% 0.26/0.47      ! [A2: char > real,B2: produc1020032539e_real,A3: char > real,B3: produc1020032539e_real] :
% 0.26/0.47        ( ( ( produc2125489830e_real @ A2 @ B2 )
% 0.26/0.47          = ( produc2125489830e_real @ A3 @ B3 ) )
% 0.26/0.47        = ( ( A2 = A3 )
% 0.26/0.47          & ( B2 = B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inject
% 0.26/0.47  thf(fact_13_old_Oprod_Oinject,axiom,
% 0.26/0.47      ! [A2: char > real > real,B2: produc104944723e_real,A3: char > real > real,B3: produc104944723e_real] :
% 0.26/0.47        ( ( ( produc141013715e_real @ A2 @ B2 )
% 0.26/0.47          = ( produc141013715e_real @ A3 @ B3 ) )
% 0.26/0.47        = ( ( A2 = A3 )
% 0.26/0.47          & ( B2 = B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inject
% 0.26/0.47  thf(fact_14_old_Oprod_Oinject,axiom,
% 0.26/0.47      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A3: char > real > $o,B3: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( ( produc2007437005e_real @ A2 @ B2 )
% 0.26/0.47          = ( produc2007437005e_real @ A3 @ B3 ) )
% 0.26/0.47        = ( ( A2 = A3 )
% 0.26/0.47          & ( B2 = B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inject
% 0.26/0.47  thf(fact_15_prod_Oinject,axiom,
% 0.26/0.47      ! [X1: char > real,X2: char > real,Y1: char > real,Y2: char > real] :
% 0.26/0.47        ( ( ( produc700235985r_real @ X1 @ X2 )
% 0.26/0.47          = ( produc700235985r_real @ Y1 @ Y2 ) )
% 0.26/0.47        = ( ( X1 = Y1 )
% 0.26/0.47          & ( X2 = Y2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod.inject
% 0.26/0.47  thf(fact_16_prod_Oinject,axiom,
% 0.26/0.47      ! [X1: char > real > real,X2: char > real > real,Y1: char > real > real,Y2: char > real > real] :
% 0.26/0.47        ( ( ( produc686464615l_real @ X1 @ X2 )
% 0.26/0.47          = ( produc686464615l_real @ Y1 @ Y2 ) )
% 0.26/0.47        = ( ( X1 = Y1 )
% 0.26/0.47          & ( X2 = Y2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod.inject
% 0.26/0.47  thf(fact_17_prod_Oinject,axiom,
% 0.26/0.47      ! [X1: char > real > $o,X2: char > real > $o,Y1: char > real > $o,Y2: char > real > $o] :
% 0.26/0.47        ( ( ( produc1566957527real_o @ X1 @ X2 )
% 0.26/0.47          = ( produc1566957527real_o @ Y1 @ Y2 ) )
% 0.26/0.47        = ( ( X1 = Y1 )
% 0.26/0.47          & ( X2 = Y2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod.inject
% 0.26/0.47  thf(fact_18_prod_Oinject,axiom,
% 0.26/0.47      ! [X1: char > set_variable_real > set_variable_real,X2: char > real > $o,Y1: char > set_variable_real > set_variable_real,Y2: char > real > $o] :
% 0.26/0.47        ( ( ( produc1285468373real_o @ X1 @ X2 )
% 0.26/0.47          = ( produc1285468373real_o @ Y1 @ Y2 ) )
% 0.26/0.47        = ( ( X1 = Y1 )
% 0.26/0.47          & ( X2 = Y2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod.inject
% 0.26/0.47  thf(fact_19_prod_Oinject,axiom,
% 0.26/0.47      ! [X1: char > set_variable_real > set_variable_real,X2: char > set_variable_real > set_variable_real,Y1: char > set_variable_real > set_variable_real,Y2: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( ( produc525232719e_real @ X1 @ X2 )
% 0.26/0.47          = ( produc525232719e_real @ Y1 @ Y2 ) )
% 0.26/0.47        = ( ( X1 = Y1 )
% 0.26/0.47          & ( X2 = Y2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod.inject
% 0.26/0.47  thf(fact_20_prod_Oinject,axiom,
% 0.26/0.47      ! [X1: char > real,X2: produc1020032539e_real,Y1: char > real,Y2: produc1020032539e_real] :
% 0.26/0.47        ( ( ( produc2125489830e_real @ X1 @ X2 )
% 0.26/0.47          = ( produc2125489830e_real @ Y1 @ Y2 ) )
% 0.26/0.47        = ( ( X1 = Y1 )
% 0.26/0.47          & ( X2 = Y2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod.inject
% 0.26/0.47  thf(fact_21_prod_Oinject,axiom,
% 0.26/0.47      ! [X1: char > real > real,X2: produc104944723e_real,Y1: char > real > real,Y2: produc104944723e_real] :
% 0.26/0.47        ( ( ( produc141013715e_real @ X1 @ X2 )
% 0.26/0.47          = ( produc141013715e_real @ Y1 @ Y2 ) )
% 0.26/0.47        = ( ( X1 = Y1 )
% 0.26/0.47          & ( X2 = Y2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod.inject
% 0.26/0.47  thf(fact_22_prod_Oinject,axiom,
% 0.26/0.47      ! [X1: char > real > $o,X2: char > set_variable_real > set_variable_real,Y1: char > real > $o,Y2: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( ( produc2007437005e_real @ X1 @ X2 )
% 0.26/0.47          = ( produc2007437005e_real @ Y1 @ Y2 ) )
% 0.26/0.47        = ( ( X1 = Y1 )
% 0.26/0.47          & ( X2 = Y2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod.inject
% 0.26/0.47  thf(fact_23_repc__consts,axiom,
% 0.26/0.47      ! [C4: char,F3: char,I: denotational_interp,D3: real] :
% 0.26/0.47        ( ( ( C4 = F3 )
% 0.26/0.47         => ( ( denotational_Consts @ ( uSubst1505767257e_repc @ I @ F3 @ D3 ) @ C4 )
% 0.26/0.47            = D3 ) )
% 0.26/0.47        & ( ( C4 != F3 )
% 0.26/0.47         => ( ( denotational_Consts @ ( uSubst1505767257e_repc @ I @ F3 @ D3 ) @ C4 )
% 0.26/0.47            = ( denotational_Consts @ I @ C4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % repc_consts
% 0.26/0.47  thf(fact_24_repc__funcs,axiom,
% 0.26/0.47      ! [I: denotational_interp,F3: char,D3: real] :
% 0.26/0.47        ( ( denotational_Funcs @ ( uSubst1505767257e_repc @ I @ F3 @ D3 ) )
% 0.26/0.47        = ( denotational_Funcs @ I ) ) ).
% 0.26/0.47  
% 0.26/0.47  % repc_funcs
% 0.26/0.47  thf(fact_25_old_Oprod_Oinducts,axiom,
% 0.26/0.47      ! [P: produc928489369r_real > $o,Prod: produc928489369r_real] :
% 0.26/0.47        ( ! [A: char > real,B: char > real] : ( P @ ( produc700235985r_real @ A @ B ) )
% 0.26/0.47       => ( P @ Prod ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inducts
% 0.26/0.47  thf(fact_26_old_Oprod_Oinducts,axiom,
% 0.26/0.47      ! [P: produc96687023l_real > $o,Prod: produc96687023l_real] :
% 0.26/0.47        ( ! [A: char > real > real,B: char > real > real] : ( P @ ( produc686464615l_real @ A @ B ) )
% 0.26/0.47       => ( P @ Prod ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inducts
% 0.26/0.47  thf(fact_27_old_Oprod_Oinducts,axiom,
% 0.26/0.47      ! [P: produc2070499431real_o > $o,Prod: produc2070499431real_o] :
% 0.26/0.47        ( ! [A: char > real > $o,B: char > real > $o] : ( P @ ( produc1566957527real_o @ A @ B ) )
% 0.26/0.47       => ( P @ Prod ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inducts
% 0.26/0.47  thf(fact_28_old_Oprod_Oinducts,axiom,
% 0.26/0.47      ! [P: produc1606031907real_o > $o,Prod: produc1606031907real_o] :
% 0.26/0.47        ( ! [A: char > set_variable_real > set_variable_real,B: char > real > $o] : ( P @ ( produc1285468373real_o @ A @ B ) )
% 0.26/0.47       => ( P @ Prod ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inducts
% 0.26/0.47  thf(fact_29_old_Oprod_Oinducts,axiom,
% 0.26/0.47      ! [P: produc1120170903e_real > $o,Prod: produc1120170903e_real] :
% 0.26/0.47        ( ! [A: char > set_variable_real > set_variable_real,B: char > set_variable_real > set_variable_real] : ( P @ ( produc525232719e_real @ A @ B ) )
% 0.26/0.47       => ( P @ Prod ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inducts
% 0.26/0.47  thf(fact_30_old_Oprod_Oinducts,axiom,
% 0.26/0.47      ! [P: produc1993135732e_real > $o,Prod: produc1993135732e_real] :
% 0.26/0.47        ( ! [A: char > real,B: produc1020032539e_real] : ( P @ ( produc2125489830e_real @ A @ B ) )
% 0.26/0.47       => ( P @ Prod ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inducts
% 0.26/0.47  thf(fact_31_old_Oprod_Oinducts,axiom,
% 0.26/0.47      ! [P: produc1020032539e_real > $o,Prod: produc1020032539e_real] :
% 0.26/0.47        ( ! [A: char > real > real,B: produc104944723e_real] : ( P @ ( produc141013715e_real @ A @ B ) )
% 0.26/0.47       => ( P @ Prod ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inducts
% 0.26/0.47  thf(fact_32_old_Oprod_Oinducts,axiom,
% 0.26/0.47      ! [P: produc104944723e_real > $o,Prod: produc104944723e_real] :
% 0.26/0.47        ( ! [A: char > real > $o,B: char > set_variable_real > set_variable_real] : ( P @ ( produc2007437005e_real @ A @ B ) )
% 0.26/0.47       => ( P @ Prod ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.inducts
% 0.26/0.47  thf(fact_33_old_Oprod_Oexhaust,axiom,
% 0.26/0.47      ! [Y: produc928489369r_real] :
% 0.26/0.47        ~ ! [A: char > real,B: char > real] :
% 0.26/0.47            ( Y
% 0.26/0.47           != ( produc700235985r_real @ A @ B ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.exhaust
% 0.26/0.47  thf(fact_34_old_Oprod_Oexhaust,axiom,
% 0.26/0.47      ! [Y: produc96687023l_real] :
% 0.26/0.47        ~ ! [A: char > real > real,B: char > real > real] :
% 0.26/0.47            ( Y
% 0.26/0.47           != ( produc686464615l_real @ A @ B ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.exhaust
% 0.26/0.47  thf(fact_35_old_Oprod_Oexhaust,axiom,
% 0.26/0.47      ! [Y: produc2070499431real_o] :
% 0.26/0.47        ~ ! [A: char > real > $o,B: char > real > $o] :
% 0.26/0.47            ( Y
% 0.26/0.47           != ( produc1566957527real_o @ A @ B ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.exhaust
% 0.26/0.47  thf(fact_36_old_Oprod_Oexhaust,axiom,
% 0.26/0.47      ! [Y: produc1606031907real_o] :
% 0.26/0.47        ~ ! [A: char > set_variable_real > set_variable_real,B: char > real > $o] :
% 0.26/0.47            ( Y
% 0.26/0.47           != ( produc1285468373real_o @ A @ B ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.exhaust
% 0.26/0.47  thf(fact_37_old_Oprod_Oexhaust,axiom,
% 0.26/0.47      ! [Y: produc1120170903e_real] :
% 0.26/0.47        ~ ! [A: char > set_variable_real > set_variable_real,B: char > set_variable_real > set_variable_real] :
% 0.26/0.47            ( Y
% 0.26/0.47           != ( produc525232719e_real @ A @ B ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.exhaust
% 0.26/0.47  thf(fact_38_old_Oprod_Oexhaust,axiom,
% 0.26/0.47      ! [Y: produc1993135732e_real] :
% 0.26/0.47        ~ ! [A: char > real,B: produc1020032539e_real] :
% 0.26/0.47            ( Y
% 0.26/0.47           != ( produc2125489830e_real @ A @ B ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.exhaust
% 0.26/0.47  thf(fact_39_old_Oprod_Oexhaust,axiom,
% 0.26/0.47      ! [Y: produc1020032539e_real] :
% 0.26/0.47        ~ ! [A: char > real > real,B: produc104944723e_real] :
% 0.26/0.47            ( Y
% 0.26/0.47           != ( produc141013715e_real @ A @ B ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.exhaust
% 0.26/0.47  thf(fact_40_old_Oprod_Oexhaust,axiom,
% 0.26/0.47      ! [Y: produc104944723e_real] :
% 0.26/0.47        ~ ! [A: char > real > $o,B: char > set_variable_real > set_variable_real] :
% 0.26/0.47            ( Y
% 0.26/0.47           != ( produc2007437005e_real @ A @ B ) ) ).
% 0.26/0.47  
% 0.26/0.47  % old.prod.exhaust
% 0.26/0.47  thf(fact_41_Pair__inject,axiom,
% 0.26/0.47      ! [A2: char > real,B2: char > real,A3: char > real,B3: char > real] :
% 0.26/0.47        ( ( ( produc700235985r_real @ A2 @ B2 )
% 0.26/0.47          = ( produc700235985r_real @ A3 @ B3 ) )
% 0.26/0.47       => ~ ( ( A2 = A3 )
% 0.26/0.47           => ( B2 != B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_inject
% 0.26/0.47  thf(fact_42_Pair__inject,axiom,
% 0.26/0.47      ! [A2: char > real > real,B2: char > real > real,A3: char > real > real,B3: char > real > real] :
% 0.26/0.47        ( ( ( produc686464615l_real @ A2 @ B2 )
% 0.26/0.47          = ( produc686464615l_real @ A3 @ B3 ) )
% 0.26/0.47       => ~ ( ( A2 = A3 )
% 0.26/0.47           => ( B2 != B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_inject
% 0.26/0.47  thf(fact_43_Pair__inject,axiom,
% 0.26/0.47      ! [A2: char > real > $o,B2: char > real > $o,A3: char > real > $o,B3: char > real > $o] :
% 0.26/0.47        ( ( ( produc1566957527real_o @ A2 @ B2 )
% 0.26/0.47          = ( produc1566957527real_o @ A3 @ B3 ) )
% 0.26/0.47       => ~ ( ( A2 = A3 )
% 0.26/0.47           => ( B2 != B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_inject
% 0.26/0.47  thf(fact_44_Pair__inject,axiom,
% 0.26/0.47      ! [A2: char > set_variable_real > set_variable_real,B2: char > real > $o,A3: char > set_variable_real > set_variable_real,B3: char > real > $o] :
% 0.26/0.47        ( ( ( produc1285468373real_o @ A2 @ B2 )
% 0.26/0.47          = ( produc1285468373real_o @ A3 @ B3 ) )
% 0.26/0.47       => ~ ( ( A2 = A3 )
% 0.26/0.47           => ( B2 != B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_inject
% 0.26/0.47  thf(fact_45_Pair__inject,axiom,
% 0.26/0.47      ! [A2: char > set_variable_real > set_variable_real,B2: char > set_variable_real > set_variable_real,A3: char > set_variable_real > set_variable_real,B3: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( ( produc525232719e_real @ A2 @ B2 )
% 0.26/0.47          = ( produc525232719e_real @ A3 @ B3 ) )
% 0.26/0.47       => ~ ( ( A2 = A3 )
% 0.26/0.47           => ( B2 != B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_inject
% 0.26/0.47  thf(fact_46_Pair__inject,axiom,
% 0.26/0.47      ! [A2: char > real,B2: produc1020032539e_real,A3: char > real,B3: produc1020032539e_real] :
% 0.26/0.47        ( ( ( produc2125489830e_real @ A2 @ B2 )
% 0.26/0.47          = ( produc2125489830e_real @ A3 @ B3 ) )
% 0.26/0.47       => ~ ( ( A2 = A3 )
% 0.26/0.47           => ( B2 != B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_inject
% 0.26/0.47  thf(fact_47_Pair__inject,axiom,
% 0.26/0.47      ! [A2: char > real > real,B2: produc104944723e_real,A3: char > real > real,B3: produc104944723e_real] :
% 0.26/0.47        ( ( ( produc141013715e_real @ A2 @ B2 )
% 0.26/0.47          = ( produc141013715e_real @ A3 @ B3 ) )
% 0.26/0.47       => ~ ( ( A2 = A3 )
% 0.26/0.47           => ( B2 != B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_inject
% 0.26/0.47  thf(fact_48_Pair__inject,axiom,
% 0.26/0.47      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A3: char > real > $o,B3: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( ( produc2007437005e_real @ A2 @ B2 )
% 0.26/0.47          = ( produc2007437005e_real @ A3 @ B3 ) )
% 0.26/0.47       => ~ ( ( A2 = A3 )
% 0.26/0.47           => ( B2 != B3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_inject
% 0.26/0.47  thf(fact_49_prod__cases,axiom,
% 0.26/0.47      ! [P: produc928489369r_real > $o,P2: produc928489369r_real] :
% 0.26/0.47        ( ! [A: char > real,B: char > real] : ( P @ ( produc700235985r_real @ A @ B ) )
% 0.26/0.47       => ( P @ P2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_cases
% 0.26/0.47  thf(fact_50_prod__cases,axiom,
% 0.26/0.47      ! [P: produc96687023l_real > $o,P2: produc96687023l_real] :
% 0.26/0.47        ( ! [A: char > real > real,B: char > real > real] : ( P @ ( produc686464615l_real @ A @ B ) )
% 0.26/0.47       => ( P @ P2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_cases
% 0.26/0.47  thf(fact_51_prod__cases,axiom,
% 0.26/0.47      ! [P: produc2070499431real_o > $o,P2: produc2070499431real_o] :
% 0.26/0.47        ( ! [A: char > real > $o,B: char > real > $o] : ( P @ ( produc1566957527real_o @ A @ B ) )
% 0.26/0.47       => ( P @ P2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_cases
% 0.26/0.47  thf(fact_52_prod__cases,axiom,
% 0.26/0.47      ! [P: produc1606031907real_o > $o,P2: produc1606031907real_o] :
% 0.26/0.47        ( ! [A: char > set_variable_real > set_variable_real,B: char > real > $o] : ( P @ ( produc1285468373real_o @ A @ B ) )
% 0.26/0.47       => ( P @ P2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_cases
% 0.26/0.47  thf(fact_53_prod__cases,axiom,
% 0.26/0.47      ! [P: produc1120170903e_real > $o,P2: produc1120170903e_real] :
% 0.26/0.47        ( ! [A: char > set_variable_real > set_variable_real,B: char > set_variable_real > set_variable_real] : ( P @ ( produc525232719e_real @ A @ B ) )
% 0.26/0.47       => ( P @ P2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_cases
% 0.26/0.47  thf(fact_54_prod__cases,axiom,
% 0.26/0.47      ! [P: produc1993135732e_real > $o,P2: produc1993135732e_real] :
% 0.26/0.47        ( ! [A: char > real,B: produc1020032539e_real] : ( P @ ( produc2125489830e_real @ A @ B ) )
% 0.26/0.47       => ( P @ P2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_cases
% 0.26/0.47  thf(fact_55_prod__cases,axiom,
% 0.26/0.47      ! [P: produc1020032539e_real > $o,P2: produc1020032539e_real] :
% 0.26/0.47        ( ! [A: char > real > real,B: produc104944723e_real] : ( P @ ( produc141013715e_real @ A @ B ) )
% 0.26/0.47       => ( P @ P2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_cases
% 0.26/0.47  thf(fact_56_prod__cases,axiom,
% 0.26/0.47      ! [P: produc104944723e_real > $o,P2: produc104944723e_real] :
% 0.26/0.47        ( ! [A: char > real > $o,B: char > set_variable_real > set_variable_real] : ( P @ ( produc2007437005e_real @ A @ B ) )
% 0.26/0.47       => ( P @ P2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_cases
% 0.26/0.47  thf(fact_57_surj__pair,axiom,
% 0.26/0.47      ! [P2: produc928489369r_real] :
% 0.26/0.47      ? [X3: char > real,Y3: char > real] :
% 0.26/0.47        ( P2
% 0.26/0.47        = ( produc700235985r_real @ X3 @ Y3 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % surj_pair
% 0.26/0.47  thf(fact_58_surj__pair,axiom,
% 0.26/0.47      ! [P2: produc96687023l_real] :
% 0.26/0.47      ? [X3: char > real > real,Y3: char > real > real] :
% 0.26/0.47        ( P2
% 0.26/0.47        = ( produc686464615l_real @ X3 @ Y3 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % surj_pair
% 0.26/0.47  thf(fact_59_surj__pair,axiom,
% 0.26/0.47      ! [P2: produc2070499431real_o] :
% 0.26/0.47      ? [X3: char > real > $o,Y3: char > real > $o] :
% 0.26/0.47        ( P2
% 0.26/0.47        = ( produc1566957527real_o @ X3 @ Y3 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % surj_pair
% 0.26/0.47  thf(fact_60_surj__pair,axiom,
% 0.26/0.47      ! [P2: produc1606031907real_o] :
% 0.26/0.47      ? [X3: char > set_variable_real > set_variable_real,Y3: char > real > $o] :
% 0.26/0.47        ( P2
% 0.26/0.47        = ( produc1285468373real_o @ X3 @ Y3 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % surj_pair
% 0.26/0.47  thf(fact_61_surj__pair,axiom,
% 0.26/0.47      ! [P2: produc1120170903e_real] :
% 0.26/0.47      ? [X3: char > set_variable_real > set_variable_real,Y3: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( P2
% 0.26/0.47        = ( produc525232719e_real @ X3 @ Y3 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % surj_pair
% 0.26/0.47  thf(fact_62_surj__pair,axiom,
% 0.26/0.47      ! [P2: produc1993135732e_real] :
% 0.26/0.47      ? [X3: char > real,Y3: produc1020032539e_real] :
% 0.26/0.47        ( P2
% 0.26/0.47        = ( produc2125489830e_real @ X3 @ Y3 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % surj_pair
% 0.26/0.47  thf(fact_63_surj__pair,axiom,
% 0.26/0.47      ! [P2: produc1020032539e_real] :
% 0.26/0.47      ? [X3: char > real > real,Y3: produc104944723e_real] :
% 0.26/0.47        ( P2
% 0.26/0.47        = ( produc141013715e_real @ X3 @ Y3 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % surj_pair
% 0.26/0.47  thf(fact_64_surj__pair,axiom,
% 0.26/0.47      ! [P2: produc104944723e_real] :
% 0.26/0.47      ? [X3: char > real > $o,Y3: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( P2
% 0.26/0.47        = ( produc2007437005e_real @ X3 @ Y3 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % surj_pair
% 0.26/0.47  thf(fact_65_prod__induct3,axiom,
% 0.26/0.47      ! [P: produc1993135732e_real > $o,X: produc1993135732e_real] :
% 0.26/0.47        ( ! [A: char > real,B: char > real > real,C3: produc104944723e_real] : ( P @ ( produc2125489830e_real @ A @ ( produc141013715e_real @ B @ C3 ) ) )
% 0.26/0.47       => ( P @ X ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_induct3
% 0.26/0.47  thf(fact_66_prod__induct3,axiom,
% 0.26/0.47      ! [P: produc1020032539e_real > $o,X: produc1020032539e_real] :
% 0.26/0.47        ( ! [A: char > real > real,B: char > real > $o,C3: char > set_variable_real > set_variable_real] : ( P @ ( produc141013715e_real @ A @ ( produc2007437005e_real @ B @ C3 ) ) )
% 0.26/0.47       => ( P @ X ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_induct3
% 0.26/0.47  thf(fact_67_prod__cases3,axiom,
% 0.26/0.47      ! [Y: produc1993135732e_real] :
% 0.26/0.47        ~ ! [A: char > real,B: char > real > real,C3: produc104944723e_real] :
% 0.26/0.47            ( Y
% 0.26/0.47           != ( produc2125489830e_real @ A @ ( produc141013715e_real @ B @ C3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_cases3
% 0.26/0.47  thf(fact_68_prod__cases3,axiom,
% 0.26/0.47      ! [Y: produc1020032539e_real] :
% 0.26/0.47        ~ ! [A: char > real > real,B: char > real > $o,C3: char > set_variable_real > set_variable_real] :
% 0.26/0.47            ( Y
% 0.26/0.47           != ( produc141013715e_real @ A @ ( produc2007437005e_real @ B @ C3 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % prod_cases3
% 0.26/0.47  thf(fact_69_Games__mkinterp,axiom,
% 0.26/0.47      ! [G: char > set_variable_real > set_variable_real,C: char > real,F: char > real > real,P: char > real > $o] :
% 0.26/0.47        ( ! [A: char] : ( order_1507925822e_real @ ( G @ A ) )
% 0.26/0.47       => ( ( denotational_Games @ ( denota1150374853interp @ ( produc2125489830e_real @ C @ ( produc141013715e_real @ F @ ( produc2007437005e_real @ P @ G ) ) ) ) )
% 0.26/0.47          = G ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Games_mkinterp
% 0.26/0.47  thf(fact_70_pred__equals__eq2,axiom,
% 0.26/0.47      ! [R: set_Pr42335993r_real,S: set_Pr42335993r_real] :
% 0.26/0.47        ( ( ( ^ [X4: char > real,Y4: char > real] : ( member1086859330r_real @ ( produc700235985r_real @ X4 @ Y4 ) @ R ) )
% 0.26/0.47          = ( ^ [X4: char > real,Y4: char > real] : ( member1086859330r_real @ ( produc700235985r_real @ X4 @ Y4 ) @ S ) ) )
% 0.26/0.47        = ( R = S ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pred_equals_eq2
% 0.26/0.47  thf(fact_71_pred__equals__eq2,axiom,
% 0.26/0.47      ! [R: set_Pr1919093775l_real,S: set_Pr1919093775l_real] :
% 0.26/0.47        ( ( ( ^ [X4: char > real > real,Y4: char > real > real] : ( member1801875544l_real @ ( produc686464615l_real @ X4 @ Y4 ) @ R ) )
% 0.26/0.47          = ( ^ [X4: char > real > real,Y4: char > real > real] : ( member1801875544l_real @ ( produc686464615l_real @ X4 @ Y4 ) @ S ) ) )
% 0.26/0.47        = ( R = S ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pred_equals_eq2
% 0.26/0.47  thf(fact_72_pred__equals__eq2,axiom,
% 0.26/0.47      ! [R: set_Pr1053253703real_o,S: set_Pr1053253703real_o] :
% 0.26/0.47        ( ( ( ^ [X4: char > real > $o,Y4: char > real > $o] : ( member1795186320real_o @ ( produc1566957527real_o @ X4 @ Y4 ) @ R ) )
% 0.26/0.47          = ( ^ [X4: char > real > $o,Y4: char > real > $o] : ( member1795186320real_o @ ( produc1566957527real_o @ X4 @ Y4 ) @ S ) ) )
% 0.26/0.47        = ( R = S ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pred_equals_eq2
% 0.26/0.47  thf(fact_73_pred__equals__eq2,axiom,
% 0.26/0.47      ! [R: set_Pr366573913real_o,S: set_Pr366573913real_o] :
% 0.26/0.47        ( ( ( ^ [X4: char > set_variable_real > set_variable_real,Y4: char > real > $o] : ( member1225120698real_o @ ( produc1285468373real_o @ X4 @ Y4 ) @ R ) )
% 0.26/0.47          = ( ^ [X4: char > set_variable_real > set_variable_real,Y4: char > real > $o] : ( member1225120698real_o @ ( produc1285468373real_o @ X4 @ Y4 ) @ S ) ) )
% 0.26/0.47        = ( R = S ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pred_equals_eq2
% 0.26/0.47  thf(fact_74_pred__equals__eq2,axiom,
% 0.26/0.47      ! [R: set_Pr1588228599e_real,S: set_Pr1588228599e_real] :
% 0.26/0.47        ( ( ( ^ [X4: char > set_variable_real > set_variable_real,Y4: char > set_variable_real > set_variable_real] : ( member625963584e_real @ ( produc525232719e_real @ X4 @ Y4 ) @ R ) )
% 0.26/0.47          = ( ^ [X4: char > set_variable_real > set_variable_real,Y4: char > set_variable_real > set_variable_real] : ( member625963584e_real @ ( produc525232719e_real @ X4 @ Y4 ) @ S ) ) )
% 0.26/0.47        = ( R = S ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pred_equals_eq2
% 0.26/0.47  thf(fact_75_pred__equals__eq2,axiom,
% 0.26/0.47      ! [R: set_Pr397354154e_real,S: set_Pr397354154e_real] :
% 0.26/0.47        ( ( ( ^ [X4: char > real,Y4: produc1020032539e_real] : ( member1491807627e_real @ ( produc2125489830e_real @ X4 @ Y4 ) @ R ) )
% 0.26/0.47          = ( ^ [X4: char > real,Y4: produc1020032539e_real] : ( member1491807627e_real @ ( produc2125489830e_real @ X4 @ Y4 ) @ S ) ) )
% 0.26/0.47        = ( R = S ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pred_equals_eq2
% 0.26/0.47  thf(fact_76_pred__equals__eq2,axiom,
% 0.26/0.47      ! [R: set_Pr307567739e_real,S: set_Pr307567739e_real] :
% 0.26/0.47        ( ( ( ^ [X4: char > real > real,Y4: produc104944723e_real] : ( member544802500e_real @ ( produc141013715e_real @ X4 @ Y4 ) @ R ) )
% 0.26/0.47          = ( ^ [X4: char > real > real,Y4: produc104944723e_real] : ( member544802500e_real @ ( produc141013715e_real @ X4 @ Y4 ) @ S ) ) )
% 0.26/0.47        = ( R = S ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pred_equals_eq2
% 0.26/0.47  thf(fact_77_pred__equals__eq2,axiom,
% 0.26/0.47      ! [R: set_Pr268868489e_real,S: set_Pr268868489e_real] :
% 0.26/0.47        ( ( ( ^ [X4: char > real > $o,Y4: char > set_variable_real > set_variable_real] : ( member1871517162e_real @ ( produc2007437005e_real @ X4 @ Y4 ) @ R ) )
% 0.26/0.47          = ( ^ [X4: char > real > $o,Y4: char > set_variable_real > set_variable_real] : ( member1871517162e_real @ ( produc2007437005e_real @ X4 @ Y4 ) @ S ) ) )
% 0.26/0.47        = ( R = S ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pred_equals_eq2
% 0.26/0.47  thf(fact_78_ssubst__Pair__rhs,axiom,
% 0.26/0.47      ! [R2: char > real,S2: char > real,R: set_Pr42335993r_real,S3: char > real] :
% 0.26/0.47        ( ( member1086859330r_real @ ( produc700235985r_real @ R2 @ S2 ) @ R )
% 0.26/0.47       => ( ( S3 = S2 )
% 0.26/0.47         => ( member1086859330r_real @ ( produc700235985r_real @ R2 @ S3 ) @ R ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % ssubst_Pair_rhs
% 0.26/0.47  thf(fact_79_ssubst__Pair__rhs,axiom,
% 0.26/0.47      ! [R2: char > real > real,S2: char > real > real,R: set_Pr1919093775l_real,S3: char > real > real] :
% 0.26/0.47        ( ( member1801875544l_real @ ( produc686464615l_real @ R2 @ S2 ) @ R )
% 0.26/0.47       => ( ( S3 = S2 )
% 0.26/0.47         => ( member1801875544l_real @ ( produc686464615l_real @ R2 @ S3 ) @ R ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % ssubst_Pair_rhs
% 0.26/0.47  thf(fact_80_ssubst__Pair__rhs,axiom,
% 0.26/0.47      ! [R2: char > real > $o,S2: char > real > $o,R: set_Pr1053253703real_o,S3: char > real > $o] :
% 0.26/0.47        ( ( member1795186320real_o @ ( produc1566957527real_o @ R2 @ S2 ) @ R )
% 0.26/0.47       => ( ( S3 = S2 )
% 0.26/0.47         => ( member1795186320real_o @ ( produc1566957527real_o @ R2 @ S3 ) @ R ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % ssubst_Pair_rhs
% 0.26/0.47  thf(fact_81_ssubst__Pair__rhs,axiom,
% 0.26/0.47      ! [R2: char > set_variable_real > set_variable_real,S2: char > real > $o,R: set_Pr366573913real_o,S3: char > real > $o] :
% 0.26/0.47        ( ( member1225120698real_o @ ( produc1285468373real_o @ R2 @ S2 ) @ R )
% 0.26/0.47       => ( ( S3 = S2 )
% 0.26/0.47         => ( member1225120698real_o @ ( produc1285468373real_o @ R2 @ S3 ) @ R ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % ssubst_Pair_rhs
% 0.26/0.47  thf(fact_82_ssubst__Pair__rhs,axiom,
% 0.26/0.47      ! [R2: char > set_variable_real > set_variable_real,S2: char > set_variable_real > set_variable_real,R: set_Pr1588228599e_real,S3: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( member625963584e_real @ ( produc525232719e_real @ R2 @ S2 ) @ R )
% 0.26/0.47       => ( ( S3 = S2 )
% 0.26/0.47         => ( member625963584e_real @ ( produc525232719e_real @ R2 @ S3 ) @ R ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % ssubst_Pair_rhs
% 0.26/0.47  thf(fact_83_ssubst__Pair__rhs,axiom,
% 0.26/0.47      ! [R2: char > real,S2: produc1020032539e_real,R: set_Pr397354154e_real,S3: produc1020032539e_real] :
% 0.26/0.47        ( ( member1491807627e_real @ ( produc2125489830e_real @ R2 @ S2 ) @ R )
% 0.26/0.47       => ( ( S3 = S2 )
% 0.26/0.47         => ( member1491807627e_real @ ( produc2125489830e_real @ R2 @ S3 ) @ R ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % ssubst_Pair_rhs
% 0.26/0.47  thf(fact_84_ssubst__Pair__rhs,axiom,
% 0.26/0.47      ! [R2: char > real > real,S2: produc104944723e_real,R: set_Pr307567739e_real,S3: produc104944723e_real] :
% 0.26/0.47        ( ( member544802500e_real @ ( produc141013715e_real @ R2 @ S2 ) @ R )
% 0.26/0.47       => ( ( S3 = S2 )
% 0.26/0.47         => ( member544802500e_real @ ( produc141013715e_real @ R2 @ S3 ) @ R ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % ssubst_Pair_rhs
% 0.26/0.47  thf(fact_85_ssubst__Pair__rhs,axiom,
% 0.26/0.47      ! [R2: char > real > $o,S2: char > set_variable_real > set_variable_real,R: set_Pr268868489e_real,S3: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( member1871517162e_real @ ( produc2007437005e_real @ R2 @ S2 ) @ R )
% 0.26/0.47       => ( ( S3 = S2 )
% 0.26/0.47         => ( member1871517162e_real @ ( produc2007437005e_real @ R2 @ S3 ) @ R ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % ssubst_Pair_rhs
% 0.26/0.47  thf(fact_86_curry__conv,axiom,
% 0.26/0.47      ( produc809977789real_o
% 0.26/0.47      = ( ^ [F2: produc104944723e_real > $o,A4: char > real > $o,B4: char > set_variable_real > set_variable_real] : ( F2 @ ( produc2007437005e_real @ A4 @ B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curry_conv
% 0.26/0.47  thf(fact_87_curry__conv,axiom,
% 0.26/0.47      ( produc753879889real_o
% 0.26/0.47      = ( ^ [F2: produc1020032539e_real > $o,A4: char > real > real,B4: produc104944723e_real] : ( F2 @ ( produc141013715e_real @ A4 @ B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curry_conv
% 0.26/0.47  thf(fact_88_curry__conv,axiom,
% 0.26/0.47      ( produc998184740real_o
% 0.26/0.47      = ( ^ [F2: produc1993135732e_real > $o,A4: char > real,B4: produc1020032539e_real] : ( F2 @ ( produc2125489830e_real @ A4 @ B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curry_conv
% 0.26/0.47  thf(fact_89_curry__def,axiom,
% 0.26/0.47      ( produc809977789real_o
% 0.26/0.47      = ( ^ [C2: produc104944723e_real > $o,X4: char > real > $o,Y4: char > set_variable_real > set_variable_real] : ( C2 @ ( produc2007437005e_real @ X4 @ Y4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curry_def
% 0.26/0.47  thf(fact_90_curry__def,axiom,
% 0.26/0.47      ( produc753879889real_o
% 0.26/0.47      = ( ^ [C2: produc1020032539e_real > $o,X4: char > real > real,Y4: produc104944723e_real] : ( C2 @ ( produc141013715e_real @ X4 @ Y4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curry_def
% 0.26/0.47  thf(fact_91_curry__def,axiom,
% 0.26/0.47      ( produc998184740real_o
% 0.26/0.47      = ( ^ [C2: produc1993135732e_real > $o,X4: char > real,Y4: produc1020032539e_real] : ( C2 @ ( produc2125489830e_real @ X4 @ Y4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curry_def
% 0.26/0.47  thf(fact_92_curryI,axiom,
% 0.26/0.47      ! [F3: produc928489369r_real > $o,A2: char > real,B2: char > real] :
% 0.26/0.47        ( ( F3 @ ( produc700235985r_real @ A2 @ B2 ) )
% 0.26/0.47       => ( produc1735668179real_o @ F3 @ A2 @ B2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryI
% 0.26/0.47  thf(fact_93_curryI,axiom,
% 0.26/0.47      ! [F3: produc96687023l_real > $o,A2: char > real > real,B2: char > real > real] :
% 0.26/0.47        ( ( F3 @ ( produc686464615l_real @ A2 @ B2 ) )
% 0.26/0.47       => ( produc311008957real_o @ F3 @ A2 @ B2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryI
% 0.26/0.47  thf(fact_94_curryI,axiom,
% 0.26/0.47      ! [F3: produc2070499431real_o > $o,A2: char > real > $o,B2: char > real > $o] :
% 0.26/0.47        ( ( F3 @ ( produc1566957527real_o @ A2 @ B2 ) )
% 0.26/0.47       => ( produc169502925al_o_o @ F3 @ A2 @ B2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryI
% 0.26/0.47  thf(fact_95_curryI,axiom,
% 0.26/0.47      ! [F3: produc1606031907real_o > $o,A2: char > set_variable_real > set_variable_real,B2: char > real > $o] :
% 0.26/0.47        ( ( F3 @ ( produc1285468373real_o @ A2 @ B2 ) )
% 0.26/0.47       => ( produc647541685al_o_o @ F3 @ A2 @ B2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryI
% 0.26/0.47  thf(fact_96_curryI,axiom,
% 0.26/0.47      ! [F3: produc1120170903e_real > $o,A2: char > set_variable_real > set_variable_real,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( F3 @ ( produc525232719e_real @ A2 @ B2 ) )
% 0.26/0.47       => ( produc1935758037real_o @ F3 @ A2 @ B2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryI
% 0.26/0.47  thf(fact_97_curryI,axiom,
% 0.26/0.47      ! [F3: produc1993135732e_real > $o,A2: char > real,B2: produc1020032539e_real] :
% 0.26/0.47        ( ( F3 @ ( produc2125489830e_real @ A2 @ B2 ) )
% 0.26/0.47       => ( produc998184740real_o @ F3 @ A2 @ B2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryI
% 0.26/0.47  thf(fact_98_curryI,axiom,
% 0.26/0.47      ! [F3: produc1020032539e_real > $o,A2: char > real > real,B2: produc104944723e_real] :
% 0.26/0.47        ( ( F3 @ ( produc141013715e_real @ A2 @ B2 ) )
% 0.26/0.47       => ( produc753879889real_o @ F3 @ A2 @ B2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryI
% 0.26/0.47  thf(fact_99_curryI,axiom,
% 0.26/0.47      ! [F3: produc104944723e_real > $o,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( F3 @ ( produc2007437005e_real @ A2 @ B2 ) )
% 0.26/0.47       => ( produc809977789real_o @ F3 @ A2 @ B2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryI
% 0.26/0.47  thf(fact_100_worlds__def,axiom,
% 0.26/0.47      ( denotational_worlds
% 0.26/0.47      = ( collec633296133e_real
% 0.26/0.47        @ ^ [Nu: variable > real] : $true ) ) ).
% 0.26/0.47  
% 0.26/0.47  % worlds_def
% 0.26/0.47  thf(fact_101_swap__simp,axiom,
% 0.26/0.47      ! [X: char > real,Y: char > real] :
% 0.26/0.47        ( ( produc1564675697r_real @ ( produc700235985r_real @ X @ Y ) )
% 0.26/0.47        = ( produc700235985r_real @ Y @ X ) ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_simp
% 0.26/0.47  thf(fact_102_swap__simp,axiom,
% 0.26/0.47      ! [X: char > real > real,Y: char > real > real] :
% 0.26/0.47        ( ( produc995978247l_real @ ( produc686464615l_real @ X @ Y ) )
% 0.26/0.47        = ( produc686464615l_real @ Y @ X ) ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_simp
% 0.26/0.47  thf(fact_103_swap__simp,axiom,
% 0.26/0.47      ! [X: char > real > $o,Y: char > real > $o] :
% 0.26/0.47        ( ( produc443915639real_o @ ( produc1566957527real_o @ X @ Y ) )
% 0.26/0.47        = ( produc1566957527real_o @ Y @ X ) ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_simp
% 0.26/0.47  thf(fact_104_swap__simp,axiom,
% 0.26/0.47      ! [X: char > set_variable_real > set_variable_real,Y: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( produc1656125423e_real @ ( produc525232719e_real @ X @ Y ) )
% 0.26/0.47        = ( produc525232719e_real @ Y @ X ) ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_simp
% 0.26/0.47  thf(fact_105_swap__simp,axiom,
% 0.26/0.47      ! [X: produc1020032539e_real,Y: char > real] :
% 0.26/0.47        ( ( produc918320576r_real @ ( produc1317530464r_real @ X @ Y ) )
% 0.26/0.47        = ( produc2125489830e_real @ Y @ X ) ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_simp
% 0.26/0.47  thf(fact_106_swap__simp,axiom,
% 0.26/0.47      ! [X: produc104944723e_real,Y: char > real > real] :
% 0.26/0.47        ( ( produc1778103411l_real @ ( produc1053845203l_real @ X @ Y ) )
% 0.26/0.47        = ( produc141013715e_real @ Y @ X ) ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_simp
% 0.26/0.47  thf(fact_107_swap__simp,axiom,
% 0.26/0.47      ! [X: char > set_variable_real > set_variable_real,Y: char > real > $o] :
% 0.26/0.47        ( ( produc192924469real_o @ ( produc1285468373real_o @ X @ Y ) )
% 0.26/0.47        = ( produc2007437005e_real @ Y @ X ) ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_simp
% 0.26/0.47  thf(fact_108_swap__simp,axiom,
% 0.26/0.47      ! [X: char > real,Y: produc1020032539e_real] :
% 0.26/0.47        ( ( produc1726279942e_real @ ( produc2125489830e_real @ X @ Y ) )
% 0.26/0.47        = ( produc1317530464r_real @ Y @ X ) ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_simp
% 0.26/0.47  thf(fact_109_swap__simp,axiom,
% 0.26/0.47      ! [X: char > real > real,Y: produc104944723e_real] :
% 0.26/0.47        ( ( produc865271923e_real @ ( produc141013715e_real @ X @ Y ) )
% 0.26/0.47        = ( produc1053845203l_real @ Y @ X ) ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_simp
% 0.26/0.47  thf(fact_110_swap__simp,axiom,
% 0.26/0.47      ! [X: char > real > $o,Y: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( produc914893101e_real @ ( produc2007437005e_real @ X @ Y ) )
% 0.26/0.47        = ( produc1285468373real_o @ Y @ X ) ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_simp
% 0.26/0.47  thf(fact_111_Pair__Rep__def,axiom,
% 0.26/0.47      ( produc210225566e_real
% 0.26/0.47      = ( ^ [A4: char > real > $o,B4: char > set_variable_real > set_variable_real,X4: char > real > $o,Y4: char > set_variable_real > set_variable_real] :
% 0.26/0.47            ( ( X4 = A4 )
% 0.26/0.47            & ( Y4 = B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_Rep_def
% 0.26/0.47  thf(fact_112_Pair__Rep__def,axiom,
% 0.26/0.47      ( produc619891650e_real
% 0.26/0.47      = ( ^ [A4: char > real > real,B4: produc104944723e_real,X4: char > real > real,Y4: produc104944723e_real] :
% 0.26/0.47            ( ( X4 = A4 )
% 0.26/0.47            & ( Y4 = B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_Rep_def
% 0.26/0.47  thf(fact_113_Pair__Rep__def,axiom,
% 0.26/0.47      ( produc345845751e_real
% 0.26/0.47      = ( ^ [A4: char > real,B4: produc1020032539e_real,X4: char > real,Y4: produc1020032539e_real] :
% 0.26/0.47            ( ( X4 = A4 )
% 0.26/0.47            & ( Y4 = B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_Rep_def
% 0.26/0.47  thf(fact_114_swap__swap,axiom,
% 0.26/0.47      ! [P2: produc1993135732e_real] :
% 0.26/0.47        ( ( produc918320576r_real @ ( produc1726279942e_real @ P2 ) )
% 0.26/0.47        = P2 ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_swap
% 0.26/0.47  thf(fact_115_swap__swap,axiom,
% 0.26/0.47      ! [P2: produc1020032539e_real] :
% 0.26/0.47        ( ( produc1778103411l_real @ ( produc865271923e_real @ P2 ) )
% 0.26/0.47        = P2 ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_swap
% 0.26/0.47  thf(fact_116_swap__swap,axiom,
% 0.26/0.47      ! [P2: produc2139219430r_real] :
% 0.26/0.47        ( ( produc1726279942e_real @ ( produc918320576r_real @ P2 ) )
% 0.26/0.47        = P2 ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_swap
% 0.26/0.47  thf(fact_117_swap__swap,axiom,
% 0.26/0.47      ! [P2: produc729247771l_real] :
% 0.26/0.47        ( ( produc865271923e_real @ ( produc1778103411l_real @ P2 ) )
% 0.26/0.47        = P2 ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_swap
% 0.26/0.47  thf(fact_118_swap__swap,axiom,
% 0.26/0.47      ! [P2: produc1606031907real_o] :
% 0.26/0.47        ( ( produc914893101e_real @ ( produc192924469real_o @ P2 ) )
% 0.26/0.47        = P2 ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_swap
% 0.26/0.47  thf(fact_119_swap__swap,axiom,
% 0.26/0.47      ! [P2: produc104944723e_real] :
% 0.26/0.47        ( ( produc192924469real_o @ ( produc914893101e_real @ P2 ) )
% 0.26/0.47        = P2 ) ).
% 0.26/0.47  
% 0.26/0.47  % swap_swap
% 0.26/0.47  thf(fact_120_curry__K,axiom,
% 0.26/0.47      ! [C4: $o] :
% 0.26/0.47        ( ( produc809977789real_o
% 0.26/0.47          @ ^ [X4: produc104944723e_real] : C4 )
% 0.26/0.47        = ( ^ [X4: char > real > $o,Y4: char > set_variable_real > set_variable_real] : C4 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curry_K
% 0.26/0.47  thf(fact_121_curry__K,axiom,
% 0.26/0.47      ! [C4: $o] :
% 0.26/0.47        ( ( produc753879889real_o
% 0.26/0.47          @ ^ [X4: produc1020032539e_real] : C4 )
% 0.26/0.47        = ( ^ [X4: char > real > real,Y4: produc104944723e_real] : C4 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curry_K
% 0.26/0.47  thf(fact_122_curry__K,axiom,
% 0.26/0.47      ! [C4: $o] :
% 0.26/0.47        ( ( produc998184740real_o
% 0.26/0.47          @ ^ [X4: produc1993135732e_real] : C4 )
% 0.26/0.47        = ( ^ [X4: char > real,Y4: produc1020032539e_real] : C4 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curry_K
% 0.26/0.47  thf(fact_123_curryD,axiom,
% 0.26/0.47      ! [F3: produc928489369r_real > $o,A2: char > real,B2: char > real] :
% 0.26/0.47        ( ( produc1735668179real_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc700235985r_real @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryD
% 0.26/0.47  thf(fact_124_curryD,axiom,
% 0.26/0.47      ! [F3: produc96687023l_real > $o,A2: char > real > real,B2: char > real > real] :
% 0.26/0.47        ( ( produc311008957real_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc686464615l_real @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryD
% 0.26/0.47  thf(fact_125_curryD,axiom,
% 0.26/0.47      ! [F3: produc2070499431real_o > $o,A2: char > real > $o,B2: char > real > $o] :
% 0.26/0.47        ( ( produc169502925al_o_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc1566957527real_o @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryD
% 0.26/0.47  thf(fact_126_curryD,axiom,
% 0.26/0.47      ! [F3: produc1606031907real_o > $o,A2: char > set_variable_real > set_variable_real,B2: char > real > $o] :
% 0.26/0.47        ( ( produc647541685al_o_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc1285468373real_o @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryD
% 0.26/0.47  thf(fact_127_curryD,axiom,
% 0.26/0.47      ! [F3: produc1120170903e_real > $o,A2: char > set_variable_real > set_variable_real,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( produc1935758037real_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc525232719e_real @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryD
% 0.26/0.47  thf(fact_128_curryD,axiom,
% 0.26/0.47      ! [F3: produc1993135732e_real > $o,A2: char > real,B2: produc1020032539e_real] :
% 0.26/0.47        ( ( produc998184740real_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc2125489830e_real @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryD
% 0.26/0.47  thf(fact_129_curryD,axiom,
% 0.26/0.47      ! [F3: produc1020032539e_real > $o,A2: char > real > real,B2: produc104944723e_real] :
% 0.26/0.47        ( ( produc753879889real_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc141013715e_real @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryD
% 0.26/0.47  thf(fact_130_curryD,axiom,
% 0.26/0.47      ! [F3: produc104944723e_real > $o,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( produc809977789real_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc2007437005e_real @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryD
% 0.26/0.47  thf(fact_131_curryE,axiom,
% 0.26/0.47      ! [F3: produc928489369r_real > $o,A2: char > real,B2: char > real] :
% 0.26/0.47        ( ( produc1735668179real_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc700235985r_real @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryE
% 0.26/0.47  thf(fact_132_curryE,axiom,
% 0.26/0.47      ! [F3: produc96687023l_real > $o,A2: char > real > real,B2: char > real > real] :
% 0.26/0.47        ( ( produc311008957real_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc686464615l_real @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryE
% 0.26/0.47  thf(fact_133_curryE,axiom,
% 0.26/0.47      ! [F3: produc2070499431real_o > $o,A2: char > real > $o,B2: char > real > $o] :
% 0.26/0.47        ( ( produc169502925al_o_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc1566957527real_o @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryE
% 0.26/0.47  thf(fact_134_curryE,axiom,
% 0.26/0.47      ! [F3: produc1606031907real_o > $o,A2: char > set_variable_real > set_variable_real,B2: char > real > $o] :
% 0.26/0.47        ( ( produc647541685al_o_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc1285468373real_o @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryE
% 0.26/0.47  thf(fact_135_curryE,axiom,
% 0.26/0.47      ! [F3: produc1120170903e_real > $o,A2: char > set_variable_real > set_variable_real,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( produc1935758037real_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc525232719e_real @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryE
% 0.26/0.47  thf(fact_136_curryE,axiom,
% 0.26/0.47      ! [F3: produc1993135732e_real > $o,A2: char > real,B2: produc1020032539e_real] :
% 0.26/0.47        ( ( produc998184740real_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc2125489830e_real @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryE
% 0.26/0.47  thf(fact_137_curryE,axiom,
% 0.26/0.47      ! [F3: produc1020032539e_real > $o,A2: char > real > real,B2: produc104944723e_real] :
% 0.26/0.47        ( ( produc753879889real_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc141013715e_real @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryE
% 0.26/0.47  thf(fact_138_curryE,axiom,
% 0.26/0.47      ! [F3: produc104944723e_real > $o,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( produc809977789real_o @ F3 @ A2 @ B2 )
% 0.26/0.47       => ( F3 @ ( produc2007437005e_real @ A2 @ B2 ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % curryE
% 0.26/0.47  thf(fact_139_Pair__def,axiom,
% 0.26/0.47      ( produc700235985r_real
% 0.26/0.47      = ( ^ [A4: char > real,B4: char > real] : ( produc1022533727r_real @ ( produc885334464r_real @ A4 @ B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_def
% 0.26/0.47  thf(fact_140_Pair__def,axiom,
% 0.26/0.47      ( produc686464615l_real
% 0.26/0.47      = ( ^ [A4: char > real > real,B4: char > real > real] : ( produc606131701l_real @ ( produc1051282262l_real @ A4 @ B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_def
% 0.26/0.47  thf(fact_141_Pair__def,axiom,
% 0.26/0.47      ( produc1566957527real_o
% 0.26/0.47      = ( ^ [A4: char > real > $o,B4: char > real > $o] : ( produc2033648741real_o @ ( produc214490950real_o @ A4 @ B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_def
% 0.26/0.47  thf(fact_142_Pair__def,axiom,
% 0.26/0.47      ( produc1285468373real_o
% 0.26/0.47      = ( ^ [A4: char > set_variable_real > set_variable_real,B4: char > real > $o] : ( produc1965585607real_o @ ( produc1635740582real_o @ A4 @ B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_def
% 0.26/0.47  thf(fact_143_Pair__def,axiom,
% 0.26/0.47      ( produc525232719e_real
% 0.26/0.47      = ( ^ [A4: char > set_variable_real > set_variable_real,B4: char > set_variable_real > set_variable_real] : ( produc1545903581e_real @ ( produc1689380158e_real @ A4 @ B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_def
% 0.26/0.47  thf(fact_144_Pair__def,axiom,
% 0.26/0.47      ( produc2125489830e_real
% 0.26/0.47      = ( ^ [A4: char > real,B4: produc1020032539e_real] : ( produc1448824728e_real @ ( produc345845751e_real @ A4 @ B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_def
% 0.26/0.47  thf(fact_145_Pair__def,axiom,
% 0.26/0.47      ( produc141013715e_real
% 0.26/0.47      = ( ^ [A4: char > real > real,B4: produc104944723e_real] : ( produc877953633e_real @ ( produc619891650e_real @ A4 @ B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_def
% 0.26/0.47  thf(fact_146_Pair__def,axiom,
% 0.26/0.47      ( produc2007437005e_real
% 0.26/0.47      = ( ^ [A4: char > real > $o,B4: char > set_variable_real > set_variable_real] : ( produc540070591e_real @ ( produc210225566e_real @ A4 @ B4 ) ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Pair_def
% 0.26/0.47  thf(fact_147_pair__in__swap__image,axiom,
% 0.26/0.47      ! [Y: char > real,X: char > real,A5: set_Pr42335993r_real] :
% 0.26/0.47        ( ( member1086859330r_real @ ( produc700235985r_real @ Y @ X ) @ ( image_1523756869r_real @ produc1564675697r_real @ A5 ) )
% 0.26/0.47        = ( member1086859330r_real @ ( produc700235985r_real @ X @ Y ) @ A5 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pair_in_swap_image
% 0.26/0.47  thf(fact_148_pair__in__swap__image,axiom,
% 0.26/0.47      ! [Y: char > real > real,X: char > real > real,A5: set_Pr1919093775l_real] :
% 0.26/0.47        ( ( member1801875544l_real @ ( produc686464615l_real @ Y @ X ) @ ( image_1347499973l_real @ produc995978247l_real @ A5 ) )
% 0.26/0.47        = ( member1801875544l_real @ ( produc686464615l_real @ X @ Y ) @ A5 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pair_in_swap_image
% 0.26/0.47  thf(fact_149_pair__in__swap__image,axiom,
% 0.26/0.47      ! [Y: char > real > $o,X: char > real > $o,A5: set_Pr1053253703real_o] :
% 0.26/0.47        ( ( member1795186320real_o @ ( produc1566957527real_o @ Y @ X ) @ ( image_448624581real_o @ produc443915639real_o @ A5 ) )
% 0.26/0.47        = ( member1795186320real_o @ ( produc1566957527real_o @ X @ Y ) @ A5 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pair_in_swap_image
% 0.26/0.47  thf(fact_150_pair__in__swap__image,axiom,
% 0.26/0.47      ! [Y: char > set_variable_real > set_variable_real,X: char > set_variable_real > set_variable_real,A5: set_Pr1588228599e_real] :
% 0.26/0.47        ( ( member625963584e_real @ ( produc525232719e_real @ Y @ X ) @ ( image_1495813573e_real @ produc1656125423e_real @ A5 ) )
% 0.26/0.47        = ( member625963584e_real @ ( produc525232719e_real @ X @ Y ) @ A5 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pair_in_swap_image
% 0.26/0.47  thf(fact_151_pair__in__swap__image,axiom,
% 0.26/0.47      ! [Y: produc1020032539e_real,X: char > real,A5: set_Pr397354154e_real] :
% 0.26/0.47        ( ( member1637891325r_real @ ( produc1317530464r_real @ Y @ X ) @ ( image_1012526049r_real @ produc1726279942e_real @ A5 ) )
% 0.26/0.47        = ( member1491807627e_real @ ( produc2125489830e_real @ X @ Y ) @ A5 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pair_in_swap_image
% 0.26/0.47  thf(fact_152_pair__in__swap__image,axiom,
% 0.26/0.47      ! [Y: produc104944723e_real,X: char > real > real,A5: set_Pr307567739e_real] :
% 0.26/0.47        ( ( member254017732l_real @ ( produc1053845203l_real @ Y @ X ) @ ( image_1532748485l_real @ produc865271923e_real @ A5 ) )
% 0.26/0.47        = ( member544802500e_real @ ( produc141013715e_real @ X @ Y ) @ A5 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pair_in_swap_image
% 0.26/0.47  thf(fact_153_pair__in__swap__image,axiom,
% 0.26/0.47      ! [Y: char > set_variable_real > set_variable_real,X: char > real > $o,A5: set_Pr268868489e_real] :
% 0.26/0.47        ( ( member1225120698real_o @ ( produc1285468373real_o @ Y @ X ) @ ( image_24290429real_o @ produc914893101e_real @ A5 ) )
% 0.26/0.47        = ( member1871517162e_real @ ( produc2007437005e_real @ X @ Y ) @ A5 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pair_in_swap_image
% 0.26/0.47  thf(fact_154_pair__in__swap__image,axiom,
% 0.26/0.47      ! [Y: char > real,X: produc1020032539e_real,A5: set_Pr821009180r_real] :
% 0.26/0.47        ( ( member1491807627e_real @ ( produc2125489830e_real @ Y @ X ) @ ( image_152725217e_real @ produc918320576r_real @ A5 ) )
% 0.26/0.47        = ( member1637891325r_real @ ( produc1317530464r_real @ X @ Y ) @ A5 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pair_in_swap_image
% 0.26/0.47  thf(fact_155_pair__in__swap__image,axiom,
% 0.26/0.47      ! [Y: char > real > real,X: produc104944723e_real,A5: set_Pr1730352763l_real] :
% 0.26/0.47        ( ( member544802500e_real @ ( produc141013715e_real @ Y @ X ) @ ( image_711552709e_real @ produc1778103411l_real @ A5 ) )
% 0.26/0.47        = ( member254017732l_real @ ( produc1053845203l_real @ X @ Y ) @ A5 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pair_in_swap_image
% 0.26/0.47  thf(fact_156_pair__in__swap__image,axiom,
% 0.26/0.47      ! [Y: char > real > $o,X: char > set_variable_real > set_variable_real,A5: set_Pr366573913real_o] :
% 0.26/0.47        ( ( member1871517162e_real @ ( produc2007437005e_real @ Y @ X ) @ ( image_2028344445e_real @ produc192924469real_o @ A5 ) )
% 0.26/0.47        = ( member1225120698real_o @ ( produc1285468373real_o @ X @ Y ) @ A5 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % pair_in_swap_image
% 0.26/0.47  thf(fact_157_in__inv__image,axiom,
% 0.26/0.47      ! [X: char > real,Y: char > real,R2: set_Pr42335993r_real,F3: ( char > real ) > char > real] :
% 0.26/0.47        ( ( member1086859330r_real @ ( produc700235985r_real @ X @ Y ) @ ( inv_im817616652r_real @ R2 @ F3 ) )
% 0.26/0.47        = ( member1086859330r_real @ ( produc700235985r_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % in_inv_image
% 0.26/0.47  thf(fact_158_in__inv__image,axiom,
% 0.26/0.47      ! [X: char > real,Y: char > real,R2: set_Pr1919093775l_real,F3: ( char > real ) > char > real > real] :
% 0.26/0.47        ( ( member1086859330r_real @ ( produc700235985r_real @ X @ Y ) @ ( inv_im854642519r_real @ R2 @ F3 ) )
% 0.26/0.47        = ( member1801875544l_real @ ( produc686464615l_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % in_inv_image
% 0.26/0.47  thf(fact_159_in__inv__image,axiom,
% 0.26/0.47      ! [X: char > real,Y: char > real,R2: set_Pr1053253703real_o,F3: ( char > real ) > char > real > $o] :
% 0.26/0.47        ( ( member1086859330r_real @ ( produc700235985r_real @ X @ Y ) @ ( inv_im255337747r_real @ R2 @ F3 ) )
% 0.26/0.47        = ( member1795186320real_o @ ( produc1566957527real_o @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % in_inv_image
% 0.26/0.47  thf(fact_160_in__inv__image,axiom,
% 0.26/0.47      ! [X: char > real > real,Y: char > real > real,R2: set_Pr42335993r_real,F3: ( char > real > real ) > char > real] :
% 0.26/0.47        ( ( member1801875544l_real @ ( produc686464615l_real @ X @ Y ) @ ( inv_im96827991l_real @ R2 @ F3 ) )
% 0.26/0.47        = ( member1086859330r_real @ ( produc700235985r_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % in_inv_image
% 0.26/0.47  thf(fact_161_in__inv__image,axiom,
% 0.26/0.47      ! [X: char > real > $o,Y: char > real > $o,R2: set_Pr42335993r_real,F3: ( char > real > $o ) > char > real] :
% 0.26/0.47        ( ( member1795186320real_o @ ( produc1566957527real_o @ X @ Y ) @ ( inv_im331529689real_o @ R2 @ F3 ) )
% 0.26/0.47        = ( member1086859330r_real @ ( produc700235985r_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % in_inv_image
% 0.26/0.47  thf(fact_162_in__inv__image,axiom,
% 0.26/0.47      ! [X: char > real > real,Y: char > real > real,R2: set_Pr1919093775l_real,F3: ( char > real > real ) > char > real > real] :
% 0.26/0.47        ( ( member1801875544l_real @ ( produc686464615l_real @ X @ Y ) @ ( inv_im2119069858l_real @ R2 @ F3 ) )
% 0.26/0.47        = ( member1801875544l_real @ ( produc686464615l_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % in_inv_image
% 0.26/0.47  thf(fact_163_in__inv__image,axiom,
% 0.26/0.47      ! [X: char > real > real,Y: char > real > real,R2: set_Pr1053253703real_o,F3: ( char > real > real ) > char > real > $o] :
% 0.26/0.47        ( ( member1801875544l_real @ ( produc686464615l_real @ X @ Y ) @ ( inv_im576609886l_real @ R2 @ F3 ) )
% 0.26/0.47        = ( member1795186320real_o @ ( produc1566957527real_o @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % in_inv_image
% 0.26/0.47  thf(fact_164_in__inv__image,axiom,
% 0.26/0.47      ! [X: char > real > $o,Y: char > real > $o,R2: set_Pr1919093775l_real,F3: ( char > real > $o ) > char > real > real] :
% 0.26/0.47        ( ( member1795186320real_o @ ( produc1566957527real_o @ X @ Y ) @ ( inv_im1748900174real_o @ R2 @ F3 ) )
% 0.26/0.47        = ( member1801875544l_real @ ( produc686464615l_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % in_inv_image
% 0.26/0.47  thf(fact_165_in__inv__image,axiom,
% 0.26/0.47      ! [X: char > real > $o,Y: char > real > $o,R2: set_Pr1053253703real_o,F3: ( char > real > $o ) > char > real > $o] :
% 0.26/0.47        ( ( member1795186320real_o @ ( produc1566957527real_o @ X @ Y ) @ ( inv_im1954866834real_o @ R2 @ F3 ) )
% 0.26/0.47        = ( member1795186320real_o @ ( produc1566957527real_o @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % in_inv_image
% 0.26/0.47  thf(fact_166_in__inv__image,axiom,
% 0.26/0.47      ! [X: char > real,Y: char > real,R2: set_Pr1588228599e_real,F3: ( char > real ) > char > set_variable_real > set_variable_real] :
% 0.26/0.47        ( ( member1086859330r_real @ ( produc700235985r_real @ X @ Y ) @ ( inv_im710342731r_real @ R2 @ F3 ) )
% 0.26/0.47        = ( member625963584e_real @ ( produc525232719e_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % in_inv_image
% 0.26/0.47  thf(fact_167_mem__Collect__eq,axiom,
% 0.26/0.47      ! [A2: char > real,P: ( char > real ) > $o] :
% 0.26/0.47        ( ( member_char_real @ A2 @ ( collect_char_real @ P ) )
% 0.26/0.47        = ( P @ A2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % mem_Collect_eq
% 0.26/0.47  thf(fact_168_mem__Collect__eq,axiom,
% 0.26/0.47      ! [A2: char > real > real,P: ( char > real > real ) > $o] :
% 0.26/0.47        ( ( member312374654l_real @ A2 @ ( collec1429138108l_real @ P ) )
% 0.26/0.47        = ( P @ A2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % mem_Collect_eq
% 0.26/0.47  thf(fact_169_mem__Collect__eq,axiom,
% 0.26/0.47      ! [A2: char > real > $o,P: ( char > real > $o ) > $o] :
% 0.26/0.47        ( ( member_char_real_o @ A2 @ ( collect_char_real_o @ P ) )
% 0.26/0.47        = ( P @ A2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % mem_Collect_eq
% 0.26/0.47  thf(fact_170_mem__Collect__eq,axiom,
% 0.26/0.47      ! [A2: char > set_variable_real > set_variable_real,P: ( char > set_variable_real > set_variable_real ) > $o] :
% 0.26/0.47        ( ( member2042895986e_real @ A2 @ ( collec425771440e_real @ P ) )
% 0.26/0.47        = ( P @ A2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % mem_Collect_eq
% 0.26/0.47  thf(fact_171_mem__Collect__eq,axiom,
% 0.26/0.47      ! [A2: produc1863992257e_real,P: produc1863992257e_real > $o] :
% 0.26/0.47        ( ( member561592938e_real @ A2 @ ( collec1042577836e_real @ P ) )
% 0.26/0.47        = ( P @ A2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % mem_Collect_eq
% 0.26/0.47  thf(fact_172_mem__Collect__eq,axiom,
% 0.26/0.47      ! [A2: variable > real,P: ( variable > real ) > $o] :
% 0.26/0.47        ( ( member_variable_real @ A2 @ ( collec633296133e_real @ P ) )
% 0.26/0.47        = ( P @ A2 ) ) ).
% 0.26/0.47  
% 0.26/0.47  % mem_Collect_eq
% 0.26/0.47  thf(fact_173_Collect__mem__eq,axiom,
% 0.26/0.47      ! [A5: set_char_real] :
% 0.26/0.47        ( ( collect_char_real
% 0.26/0.47          @ ^ [X4: char > real] : ( member_char_real @ X4 @ A5 ) )
% 0.26/0.47        = A5 ) ).
% 0.26/0.47  
% 0.26/0.47  % Collect_mem_eq
% 0.26/0.47  thf(fact_174_Collect__mem__eq,axiom,
% 0.26/0.47      ! [A5: set_char_real_real] :
% 0.26/0.47        ( ( collec1429138108l_real
% 0.26/0.47          @ ^ [X4: char > real > real] : ( member312374654l_real @ X4 @ A5 ) )
% 0.26/0.47        = A5 ) ).
% 0.26/0.47  
% 0.26/0.47  % Collect_mem_eq
% 0.26/0.47  thf(fact_175_Collect__mem__eq,axiom,
% 0.26/0.47      ! [A5: set_char_real_o] :
% 0.26/0.47        ( ( collect_char_real_o
% 0.26/0.47          @ ^ [X4: char > real > $o] : ( member_char_real_o @ X4 @ A5 ) )
% 0.26/0.47        = A5 ) ).
% 0.26/0.47  
% 0.26/0.47  % Collect_mem_eq
% 0.26/0.47  thf(fact_176_Collect__mem__eq,axiom,
% 0.26/0.47      ! [A5: set_ch845833233e_real] :
% 0.26/0.47        ( ( collec425771440e_real
% 0.26/0.47          @ ^ [X4: char > set_variable_real > set_variable_real] : ( member2042895986e_real @ X4 @ A5 ) )
% 0.26/0.47        = A5 ) ).
% 0.26/0.47  
% 0.26/0.47  % Collect_mem_eq
% 0.26/0.47  thf(fact_177_Collect__mem__eq,axiom,
% 0.26/0.47      ! [A5: set_Pr1530225953e_real] :
% 0.26/0.47        ( ( collec1042577836e_real
% 0.26/0.47          @ ^ [X4: produc1863992257e_real] : ( member561592938e_real @ X4 @ A5 ) )
% 0.26/0.47        = A5 ) ).
% 0.26/0.47  
% 0.26/0.47  % Collect_mem_eq
% 0.26/0.47  thf(fact_178_Collect__mem__eq,axiom,
% 0.26/0.47      ! [A5: set_variable_real] :
% 0.26/0.47        ( ( collec633296133e_real
% 0.26/0.47          @ ^ [X4: variable > real] : ( member_variable_real @ X4 @ A5 ) )
% 0.26/0.47        = A5 ) ).
% 0.26/0.47  
% 0.26/0.47  % Collect_mem_eq
% 0.26/0.47  thf(fact_179_Collect__cong,axiom,
% 0.26/0.47      ! [P: produc1863992257e_real > $o,Q: produc1863992257e_real > $o] :
% 0.26/0.47        ( ! [X3: produc1863992257e_real] :
% 0.26/0.47            ( ( P @ X3 )
% 0.26/0.47            = ( Q @ X3 ) )
% 0.26/0.47       => ( ( collec1042577836e_real @ P )
% 0.26/0.47          = ( collec1042577836e_real @ Q ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Collect_cong
% 0.26/0.47  thf(fact_180_Collect__cong,axiom,
% 0.26/0.47      ! [P: ( variable > real ) > $o,Q: ( variable > real ) > $o] :
% 0.26/0.47        ( ! [X3: variable > real] :
% 0.26/0.47            ( ( P @ X3 )
% 0.26/0.47            = ( Q @ X3 ) )
% 0.26/0.47       => ( ( collec633296133e_real @ P )
% 0.26/0.47          = ( collec633296133e_real @ Q ) ) ) ).
% 0.26/0.47  
% 0.26/0.47  % Collect_cong
% 0.26/0.47  thf(fact_181_internal__case__prod__def,axiom,
% 0.26/0.47      produc1138486237e_real = produc1202665267e_real ).
% 0.26/0.48  
% 0.26/0.48  % internal_case_prod_def
% 0.26/0.48  thf(fact_182_internal__case__prod__def,axiom,
% 0.26/0.48      produc677394266real_o = produc679978160real_o ).
% 0.26/0.48  
% 0.26/0.48  % internal_case_prod_def
% 0.26/0.48  thf(fact_183_internal__case__prod__def,axiom,
% 0.26/0.48      produc584529143e_real = produc1906464077e_real ).
% 0.26/0.48  
% 0.26/0.48  % internal_case_prod_def
% 0.26/0.48  thf(fact_184_internal__case__prod__def,axiom,
% 0.26/0.48      produc1070892532real_o = produc1629511198real_o ).
% 0.26/0.48  
% 0.26/0.48  % internal_case_prod_def
% 0.26/0.48  thf(fact_185_internal__case__prod__def,axiom,
% 0.26/0.48      produc1941565183e_real = produc1116016469e_real ).
% 0.26/0.48  
% 0.26/0.48  % internal_case_prod_def
% 0.26/0.48  thf(fact_186_case__swap,axiom,
% 0.26/0.48      ! [F3: ( char > real > real ) > produc104944723e_real > produc1020032539e_real,P2: produc1020032539e_real] :
% 0.26/0.48        ( ( produc991789875e_real
% 0.26/0.48          @ ^ [Y4: produc104944723e_real,X4: char > real > real] : ( F3 @ X4 @ Y4 )
% 0.26/0.48          @ ( produc865271923e_real @ P2 ) )
% 0.26/0.48        = ( produc1202665267e_real @ F3 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_swap
% 0.26/0.48  thf(fact_187_case__swap,axiom,
% 0.26/0.48      ! [F3: ( char > real > real ) > produc104944723e_real > $o,P2: produc1020032539e_real] :
% 0.26/0.48        ( ( produc421130416real_o
% 0.26/0.48          @ ^ [Y4: produc104944723e_real,X4: char > real > real] : ( F3 @ X4 @ Y4 )
% 0.26/0.48          @ ( produc865271923e_real @ P2 ) )
% 0.26/0.48        = ( produc679978160real_o @ F3 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_swap
% 0.26/0.48  thf(fact_188_case__swap,axiom,
% 0.26/0.48      ! [F3: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o,P2: produc104944723e_real] :
% 0.26/0.48        ( ( produc1467075094al_o_o
% 0.26/0.48          @ ^ [Y4: char > set_variable_real > set_variable_real,X4: char > real > $o] : ( F3 @ X4 @ Y4 )
% 0.26/0.48          @ ( produc914893101e_real @ P2 ) )
% 0.26/0.48        = ( produc1629511198real_o @ F3 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_swap
% 0.26/0.48  thf(fact_189_case__swap,axiom,
% 0.26/0.48      ! [F3: produc104944723e_real > ( char > real > real ) > produc1020032539e_real,P2: produc729247771l_real] :
% 0.26/0.48        ( ( produc1202665267e_real
% 0.26/0.48          @ ^ [Y4: char > real > real,X4: produc104944723e_real] : ( F3 @ X4 @ Y4 )
% 0.26/0.48          @ ( produc1778103411l_real @ P2 ) )
% 0.26/0.48        = ( produc991789875e_real @ F3 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_swap
% 0.26/0.48  thf(fact_190_case__swap,axiom,
% 0.26/0.48      ! [F3: produc104944723e_real > ( char > real > real ) > $o,P2: produc729247771l_real] :
% 0.26/0.48        ( ( produc679978160real_o
% 0.26/0.48          @ ^ [Y4: char > real > real,X4: produc104944723e_real] : ( F3 @ X4 @ Y4 )
% 0.26/0.48          @ ( produc1778103411l_real @ P2 ) )
% 0.26/0.48        = ( produc421130416real_o @ F3 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_swap
% 0.26/0.48  thf(fact_191_case__swap,axiom,
% 0.26/0.48      ! [F3: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc104944723e_real,P2: produc1606031907real_o] :
% 0.26/0.48        ( ( produc1906464077e_real
% 0.26/0.48          @ ^ [Y4: char > real > $o,X4: char > set_variable_real > set_variable_real] : ( F3 @ X4 @ Y4 )
% 0.26/0.48          @ ( produc192924469real_o @ P2 ) )
% 0.26/0.48        = ( produc1116016469e_real @ F3 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_swap
% 0.26/0.48  thf(fact_192_case__swap,axiom,
% 0.26/0.48      ! [F3: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o,P2: produc1606031907real_o] :
% 0.26/0.48        ( ( produc1629511198real_o
% 0.26/0.48          @ ^ [Y4: char > real > $o,X4: char > set_variable_real > set_variable_real] : ( F3 @ X4 @ Y4 )
% 0.26/0.48          @ ( produc192924469real_o @ P2 ) )
% 0.26/0.48        = ( produc1467075094al_o_o @ F3 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_swap
% 0.26/0.48  thf(fact_193_case__swap,axiom,
% 0.26/0.48      ! [F3: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real,P2: produc104944723e_real] :
% 0.26/0.48        ( ( produc1116016469e_real
% 0.26/0.48          @ ^ [Y4: char > set_variable_real > set_variable_real,X4: char > real > $o] : ( F3 @ X4 @ Y4 )
% 0.26/0.48          @ ( produc914893101e_real @ P2 ) )
% 0.26/0.48        = ( produc1906464077e_real @ F3 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_swap
% 0.26/0.48  thf(fact_194_The__split__eq,axiom,
% 0.26/0.48      ! [X: char > real,Y: char > real] :
% 0.26/0.48        ( ( the_Pr1076580896r_real
% 0.26/0.48          @ ( produc1655853874real_o
% 0.26/0.48            @ ^ [X5: char > real,Y5: char > real] :
% 0.26/0.48                ( ( X = X5 )
% 0.26/0.48                & ( Y = Y5 ) ) ) )
% 0.26/0.48        = ( produc700235985r_real @ X @ Y ) ) ).
% 0.26/0.48  
% 0.26/0.48  % The_split_eq
% 0.26/0.48  thf(fact_195_The__split__eq,axiom,
% 0.26/0.48      ! [X: char > real > real,Y: char > real > real] :
% 0.26/0.48        ( ( the_Pr1196831286l_real
% 0.26/0.48          @ ( produc1095814172real_o
% 0.26/0.48            @ ^ [X5: char > real > real,Y5: char > real > real] :
% 0.26/0.48                ( ( X = X5 )
% 0.26/0.48                & ( Y = Y5 ) ) ) )
% 0.26/0.48        = ( produc686464615l_real @ X @ Y ) ) ).
% 0.26/0.48  
% 0.26/0.48  % The_split_eq
% 0.26/0.48  thf(fact_196_The__split__eq,axiom,
% 0.26/0.48      ! [X: char > real > $o,Y: char > real > $o] :
% 0.26/0.48        ( ( the_Pr1811203438real_o
% 0.26/0.48          @ ( produc131289260al_o_o
% 0.26/0.48            @ ^ [X5: char > real > $o,Y5: char > real > $o] :
% 0.26/0.48                ( ( X = X5 )
% 0.26/0.48                & ( Y = Y5 ) ) ) )
% 0.26/0.48        = ( produc1566957527real_o @ X @ Y ) ) ).
% 0.26/0.48  
% 0.26/0.48  % The_split_eq
% 0.26/0.48  thf(fact_197_The__split__eq,axiom,
% 0.26/0.48      ! [X: char > set_variable_real > set_variable_real,Y: char > real > $o] :
% 0.26/0.48        ( ( the_Pr1930357084real_o
% 0.26/0.48          @ ( produc1467075094al_o_o
% 0.26/0.48            @ ^ [X5: char > set_variable_real > set_variable_real,Y5: char > real > $o] :
% 0.26/0.48                ( ( X = X5 )
% 0.26/0.48                & ( Y = Y5 ) ) ) )
% 0.26/0.48        = ( produc1285468373real_o @ X @ Y ) ) ).
% 0.26/0.48  
% 0.26/0.48  % The_split_eq
% 0.26/0.48  thf(fact_198_The__split__eq,axiom,
% 0.26/0.48      ! [X: char > set_variable_real > set_variable_real,Y: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( the_Pr198758430e_real
% 0.26/0.48          @ ( produc143994420real_o
% 0.26/0.48            @ ^ [X5: char > set_variable_real > set_variable_real,Y5: char > set_variable_real > set_variable_real] :
% 0.26/0.48                ( ( X = X5 )
% 0.26/0.48                & ( Y = Y5 ) ) ) )
% 0.26/0.48        = ( produc525232719e_real @ X @ Y ) ) ).
% 0.26/0.48  
% 0.26/0.48  % The_split_eq
% 0.26/0.48  thf(fact_199_The__split__eq,axiom,
% 0.26/0.48      ! [X: char > real,Y: produc1020032539e_real] :
% 0.26/0.48        ( ( the_Pr543709229e_real
% 0.26/0.48          @ ( produc569598981real_o
% 0.26/0.48            @ ^ [X5: char > real,Y5: produc1020032539e_real] :
% 0.26/0.48                ( ( X = X5 )
% 0.26/0.48                & ( Y = Y5 ) ) ) )
% 0.26/0.48        = ( produc2125489830e_real @ X @ Y ) ) ).
% 0.26/0.48  
% 0.26/0.48  % The_split_eq
% 0.26/0.48  thf(fact_200_The__split__eq,axiom,
% 0.26/0.48      ! [X: char > real > real,Y: produc104944723e_real] :
% 0.26/0.48        ( ( the_Pr1679925410e_real
% 0.26/0.48          @ ( produc679978160real_o
% 0.26/0.48            @ ^ [X5: char > real > real,Y5: produc104944723e_real] :
% 0.26/0.48                ( ( X = X5 )
% 0.26/0.48                & ( Y = Y5 ) ) ) )
% 0.26/0.48        = ( produc141013715e_real @ X @ Y ) ) ).
% 0.26/0.48  
% 0.26/0.48  % The_split_eq
% 0.26/0.48  thf(fact_201_The__split__eq,axiom,
% 0.26/0.48      ! [X: char > real > $o,Y: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( the_Pr429269900e_real
% 0.26/0.48          @ ( produc1629511198real_o
% 0.26/0.48            @ ^ [X5: char > real > $o,Y5: char > set_variable_real > set_variable_real] :
% 0.26/0.48                ( ( X = X5 )
% 0.26/0.48                & ( Y = Y5 ) ) ) )
% 0.26/0.48        = ( produc2007437005e_real @ X @ Y ) ) ).
% 0.26/0.48  
% 0.26/0.48  % The_split_eq
% 0.26/0.48  thf(fact_202_case__prodI2,axiom,
% 0.26/0.48      ! [P2: produc928489369r_real,C4: ( char > real ) > ( char > real ) > $o] :
% 0.26/0.48        ( ! [A: char > real,B: char > real] :
% 0.26/0.48            ( ( P2
% 0.26/0.48              = ( produc700235985r_real @ A @ B ) )
% 0.26/0.48           => ( C4 @ A @ B ) )
% 0.26/0.48       => ( produc1655853874real_o @ C4 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI2
% 0.26/0.48  thf(fact_203_case__prodI2,axiom,
% 0.26/0.48      ! [P2: produc96687023l_real,C4: ( char > real > real ) > ( char > real > real ) > $o] :
% 0.26/0.48        ( ! [A: char > real > real,B: char > real > real] :
% 0.26/0.48            ( ( P2
% 0.26/0.48              = ( produc686464615l_real @ A @ B ) )
% 0.26/0.48           => ( C4 @ A @ B ) )
% 0.26/0.48       => ( produc1095814172real_o @ C4 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI2
% 0.26/0.48  thf(fact_204_case__prodI2,axiom,
% 0.26/0.48      ! [P2: produc2070499431real_o,C4: ( char > real > $o ) > ( char > real > $o ) > $o] :
% 0.26/0.48        ( ! [A: char > real > $o,B: char > real > $o] :
% 0.26/0.48            ( ( P2
% 0.26/0.48              = ( produc1566957527real_o @ A @ B ) )
% 0.26/0.48           => ( C4 @ A @ B ) )
% 0.26/0.48       => ( produc131289260al_o_o @ C4 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI2
% 0.26/0.48  thf(fact_205_case__prodI2,axiom,
% 0.26/0.48      ! [P2: produc1606031907real_o,C4: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o] :
% 0.26/0.48        ( ! [A: char > set_variable_real > set_variable_real,B: char > real > $o] :
% 0.26/0.48            ( ( P2
% 0.26/0.48              = ( produc1285468373real_o @ A @ B ) )
% 0.26/0.48           => ( C4 @ A @ B ) )
% 0.26/0.48       => ( produc1467075094al_o_o @ C4 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI2
% 0.26/0.48  thf(fact_206_case__prodI2,axiom,
% 0.26/0.48      ! [P2: produc1120170903e_real,C4: ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o] :
% 0.26/0.48        ( ! [A: char > set_variable_real > set_variable_real,B: char > set_variable_real > set_variable_real] :
% 0.26/0.48            ( ( P2
% 0.26/0.48              = ( produc525232719e_real @ A @ B ) )
% 0.26/0.48           => ( C4 @ A @ B ) )
% 0.26/0.48       => ( produc143994420real_o @ C4 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI2
% 0.26/0.48  thf(fact_207_case__prodI2,axiom,
% 0.26/0.48      ! [P2: produc1993135732e_real,C4: ( char > real ) > produc1020032539e_real > $o] :
% 0.26/0.48        ( ! [A: char > real,B: produc1020032539e_real] :
% 0.26/0.48            ( ( P2
% 0.26/0.48              = ( produc2125489830e_real @ A @ B ) )
% 0.26/0.48           => ( C4 @ A @ B ) )
% 0.26/0.48       => ( produc569598981real_o @ C4 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI2
% 0.26/0.48  thf(fact_208_case__prodI2,axiom,
% 0.26/0.48      ! [P2: produc1020032539e_real,C4: ( char > real > real ) > produc104944723e_real > $o] :
% 0.26/0.48        ( ! [A: char > real > real,B: produc104944723e_real] :
% 0.26/0.48            ( ( P2
% 0.26/0.48              = ( produc141013715e_real @ A @ B ) )
% 0.26/0.48           => ( C4 @ A @ B ) )
% 0.26/0.48       => ( produc679978160real_o @ C4 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI2
% 0.26/0.48  thf(fact_209_case__prodI2,axiom,
% 0.26/0.48      ! [P2: produc104944723e_real,C4: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o] :
% 0.26/0.48        ( ! [A: char > real > $o,B: char > set_variable_real > set_variable_real] :
% 0.26/0.48            ( ( P2
% 0.26/0.48              = ( produc2007437005e_real @ A @ B ) )
% 0.26/0.48           => ( C4 @ A @ B ) )
% 0.26/0.48       => ( produc1629511198real_o @ C4 @ P2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI2
% 0.26/0.48  thf(fact_210_case__prodI,axiom,
% 0.26/0.48      ! [F3: ( char > real ) > ( char > real ) > $o,A2: char > real,B2: char > real] :
% 0.26/0.48        ( ( F3 @ A2 @ B2 )
% 0.26/0.48       => ( produc1655853874real_o @ F3 @ ( produc700235985r_real @ A2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI
% 0.26/0.48  thf(fact_211_case__prodI,axiom,
% 0.26/0.48      ! [F3: ( char > real > real ) > ( char > real > real ) > $o,A2: char > real > real,B2: char > real > real] :
% 0.26/0.48        ( ( F3 @ A2 @ B2 )
% 0.26/0.48       => ( produc1095814172real_o @ F3 @ ( produc686464615l_real @ A2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI
% 0.26/0.48  thf(fact_212_case__prodI,axiom,
% 0.26/0.48      ! [F3: ( char > real > $o ) > ( char > real > $o ) > $o,A2: char > real > $o,B2: char > real > $o] :
% 0.26/0.48        ( ( F3 @ A2 @ B2 )
% 0.26/0.48       => ( produc131289260al_o_o @ F3 @ ( produc1566957527real_o @ A2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI
% 0.26/0.48  thf(fact_213_case__prodI,axiom,
% 0.26/0.48      ! [F3: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o,A2: char > set_variable_real > set_variable_real,B2: char > real > $o] :
% 0.26/0.48        ( ( F3 @ A2 @ B2 )
% 0.26/0.48       => ( produc1467075094al_o_o @ F3 @ ( produc1285468373real_o @ A2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI
% 0.26/0.48  thf(fact_214_case__prodI,axiom,
% 0.26/0.48      ! [F3: ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o,A2: char > set_variable_real > set_variable_real,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( F3 @ A2 @ B2 )
% 0.26/0.48       => ( produc143994420real_o @ F3 @ ( produc525232719e_real @ A2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI
% 0.26/0.48  thf(fact_215_case__prodI,axiom,
% 0.26/0.48      ! [F3: ( char > real ) > produc1020032539e_real > $o,A2: char > real,B2: produc1020032539e_real] :
% 0.26/0.48        ( ( F3 @ A2 @ B2 )
% 0.26/0.48       => ( produc569598981real_o @ F3 @ ( produc2125489830e_real @ A2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI
% 0.26/0.48  thf(fact_216_case__prodI,axiom,
% 0.26/0.48      ! [F3: ( char > real > real ) > produc104944723e_real > $o,A2: char > real > real,B2: produc104944723e_real] :
% 0.26/0.48        ( ( F3 @ A2 @ B2 )
% 0.26/0.48       => ( produc679978160real_o @ F3 @ ( produc141013715e_real @ A2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI
% 0.26/0.48  thf(fact_217_case__prodI,axiom,
% 0.26/0.48      ! [F3: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( F3 @ A2 @ B2 )
% 0.26/0.48       => ( produc1629511198real_o @ F3 @ ( produc2007437005e_real @ A2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodI
% 0.26/0.48  thf(fact_218_case__prodE,axiom,
% 0.26/0.48      ! [C4: ( char > real ) > produc1020032539e_real > $o,P2: produc1993135732e_real] :
% 0.26/0.48        ( ( produc569598981real_o @ C4 @ P2 )
% 0.26/0.48       => ~ ! [X3: char > real,Y3: produc1020032539e_real] :
% 0.26/0.48              ( ( P2
% 0.26/0.48                = ( produc2125489830e_real @ X3 @ Y3 ) )
% 0.26/0.48             => ~ ( C4 @ X3 @ Y3 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodE
% 0.26/0.48  thf(fact_219_case__prodE,axiom,
% 0.26/0.48      ! [C4: ( char > real > real ) > produc104944723e_real > $o,P2: produc1020032539e_real] :
% 0.26/0.48        ( ( produc679978160real_o @ C4 @ P2 )
% 0.26/0.48       => ~ ! [X3: char > real > real,Y3: produc104944723e_real] :
% 0.26/0.48              ( ( P2
% 0.26/0.48                = ( produc141013715e_real @ X3 @ Y3 ) )
% 0.26/0.48             => ~ ( C4 @ X3 @ Y3 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodE
% 0.26/0.48  thf(fact_220_case__prodE,axiom,
% 0.26/0.48      ! [C4: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o,P2: produc104944723e_real] :
% 0.26/0.48        ( ( produc1629511198real_o @ C4 @ P2 )
% 0.26/0.48       => ~ ! [X3: char > real > $o,Y3: char > set_variable_real > set_variable_real] :
% 0.26/0.48              ( ( P2
% 0.26/0.48                = ( produc2007437005e_real @ X3 @ Y3 ) )
% 0.26/0.48             => ~ ( C4 @ X3 @ Y3 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodE
% 0.26/0.48  thf(fact_221_case__prodD,axiom,
% 0.26/0.48      ! [F3: ( char > real ) > produc1020032539e_real > $o,A2: char > real,B2: produc1020032539e_real] :
% 0.26/0.48        ( ( produc569598981real_o @ F3 @ ( produc2125489830e_real @ A2 @ B2 ) )
% 0.26/0.48       => ( F3 @ A2 @ B2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodD
% 0.26/0.48  thf(fact_222_case__prodD,axiom,
% 0.26/0.48      ! [F3: ( char > real > real ) > produc104944723e_real > $o,A2: char > real > real,B2: produc104944723e_real] :
% 0.26/0.48        ( ( produc679978160real_o @ F3 @ ( produc141013715e_real @ A2 @ B2 ) )
% 0.26/0.48       => ( F3 @ A2 @ B2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodD
% 0.26/0.48  thf(fact_223_case__prodD,axiom,
% 0.26/0.48      ! [F3: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( produc1629511198real_o @ F3 @ ( produc2007437005e_real @ A2 @ B2 ) )
% 0.26/0.48       => ( F3 @ A2 @ B2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prodD
% 0.26/0.48  thf(fact_224_Compr__image__eq,axiom,
% 0.26/0.48      ! [F3: ( variable > real ) > variable > real,A5: set_variable_real,P: ( variable > real ) > $o] :
% 0.26/0.48        ( ( collec633296133e_real
% 0.26/0.48          @ ^ [X4: variable > real] :
% 0.26/0.48              ( ( member_variable_real @ X4 @ ( image_1599134823e_real @ F3 @ A5 ) )
% 0.26/0.48              & ( P @ X4 ) ) )
% 0.26/0.48        = ( image_1599134823e_real @ F3
% 0.26/0.48          @ ( collec633296133e_real
% 0.26/0.48            @ ^ [X4: variable > real] :
% 0.26/0.48                ( ( member_variable_real @ X4 @ A5 )
% 0.26/0.48                & ( P @ ( F3 @ X4 ) ) ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % Compr_image_eq
% 0.26/0.48  thf(fact_225_case__prod__Pair__iden,axiom,
% 0.26/0.48      ! [P2: produc1993135732e_real] :
% 0.26/0.48        ( ( produc315720647e_real @ produc2125489830e_real @ P2 )
% 0.26/0.48        = P2 ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prod_Pair_iden
% 0.26/0.48  thf(fact_226_case__prod__Pair__iden,axiom,
% 0.26/0.48      ! [P2: produc1020032539e_real] :
% 0.26/0.48        ( ( produc1202665267e_real @ produc141013715e_real @ P2 )
% 0.26/0.48        = P2 ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prod_Pair_iden
% 0.26/0.48  thf(fact_227_case__prod__Pair__iden,axiom,
% 0.26/0.48      ! [P2: produc104944723e_real] :
% 0.26/0.48        ( ( produc1906464077e_real @ produc2007437005e_real @ P2 )
% 0.26/0.48        = P2 ) ).
% 0.26/0.48  
% 0.26/0.48  % case_prod_Pair_iden
% 0.26/0.48  thf(fact_228_SigmaI,axiom,
% 0.26/0.48      ! [A2: char > real,A5: set_char_real,B2: produc1020032539e_real,B5: ( char > real ) > set_Pr307567739e_real] :
% 0.26/0.48        ( ( member_char_real @ A2 @ A5 )
% 0.26/0.48       => ( ( member544802500e_real @ B2 @ ( B5 @ A2 ) )
% 0.26/0.48         => ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ ( produc34356277e_real @ A5 @ B5 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaI
% 0.26/0.48  thf(fact_229_SigmaI,axiom,
% 0.26/0.48      ! [A2: char > real > real,A5: set_char_real_real,B2: produc104944723e_real,B5: ( char > real > real ) > set_Pr268868489e_real] :
% 0.26/0.48        ( ( member312374654l_real @ A2 @ A5 )
% 0.26/0.48       => ( ( member1871517162e_real @ B2 @ ( B5 @ A2 ) )
% 0.26/0.48         => ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ ( produc522711812e_real @ A5 @ B5 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaI
% 0.26/0.48  thf(fact_230_SigmaI,axiom,
% 0.26/0.48      ! [A2: char > real > $o,A5: set_char_real_o,B2: char > set_variable_real > set_variable_real,B5: ( char > real > $o ) > set_ch845833233e_real] :
% 0.26/0.48        ( ( member_char_real_o @ A2 @ A5 )
% 0.26/0.48       => ( ( member2042895986e_real @ B2 @ ( B5 @ A2 ) )
% 0.26/0.48         => ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ ( produc1853244124e_real @ A5 @ B5 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaI
% 0.26/0.48  thf(fact_231_mem__Sigma__iff,axiom,
% 0.26/0.48      ! [A2: char > real,B2: produc1020032539e_real,A5: set_char_real,B5: ( char > real ) > set_Pr307567739e_real] :
% 0.26/0.48        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ ( produc34356277e_real @ A5 @ B5 ) )
% 0.26/0.48        = ( ( member_char_real @ A2 @ A5 )
% 0.26/0.48          & ( member544802500e_real @ B2 @ ( B5 @ A2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % mem_Sigma_iff
% 0.26/0.48  thf(fact_232_mem__Sigma__iff,axiom,
% 0.26/0.48      ! [A2: char > real > real,B2: produc104944723e_real,A5: set_char_real_real,B5: ( char > real > real ) > set_Pr268868489e_real] :
% 0.26/0.48        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ ( produc522711812e_real @ A5 @ B5 ) )
% 0.26/0.48        = ( ( member312374654l_real @ A2 @ A5 )
% 0.26/0.48          & ( member1871517162e_real @ B2 @ ( B5 @ A2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % mem_Sigma_iff
% 0.26/0.48  thf(fact_233_mem__Sigma__iff,axiom,
% 0.26/0.48      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A5: set_char_real_o,B5: ( char > real > $o ) > set_ch845833233e_real] :
% 0.26/0.48        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ ( produc1853244124e_real @ A5 @ B5 ) )
% 0.26/0.48        = ( ( member_char_real_o @ A2 @ A5 )
% 0.26/0.48          & ( member2042895986e_real @ B2 @ ( B5 @ A2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % mem_Sigma_iff
% 0.26/0.48  thf(fact_234_Collect__case__prod,axiom,
% 0.26/0.48      ! [P: ( variable > real ) > $o,Q: ( variable > real ) > $o] :
% 0.26/0.48        ( ( collec1042577836e_real
% 0.26/0.48          @ ( produc1299805450real_o
% 0.26/0.48            @ ^ [A4: variable > real,B4: variable > real] :
% 0.26/0.48                ( ( P @ A4 )
% 0.26/0.48                & ( Q @ B4 ) ) ) )
% 0.26/0.48        = ( produc979346218e_real @ ( collec633296133e_real @ P )
% 0.26/0.48          @ ^ [Uu: variable > real] : ( collec633296133e_real @ Q ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % Collect_case_prod
% 0.26/0.48  thf(fact_235_SigmaE2,axiom,
% 0.26/0.48      ! [A2: char > real,B2: produc1020032539e_real,A5: set_char_real,B5: ( char > real ) > set_Pr307567739e_real] :
% 0.26/0.48        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ ( produc34356277e_real @ A5 @ B5 ) )
% 0.26/0.48       => ~ ( ( member_char_real @ A2 @ A5 )
% 0.26/0.48           => ~ ( member544802500e_real @ B2 @ ( B5 @ A2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaE2
% 0.26/0.48  thf(fact_236_SigmaE2,axiom,
% 0.26/0.48      ! [A2: char > real > real,B2: produc104944723e_real,A5: set_char_real_real,B5: ( char > real > real ) > set_Pr268868489e_real] :
% 0.26/0.48        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ ( produc522711812e_real @ A5 @ B5 ) )
% 0.26/0.48       => ~ ( ( member312374654l_real @ A2 @ A5 )
% 0.26/0.48           => ~ ( member1871517162e_real @ B2 @ ( B5 @ A2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaE2
% 0.26/0.48  thf(fact_237_SigmaE2,axiom,
% 0.26/0.48      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A5: set_char_real_o,B5: ( char > real > $o ) > set_ch845833233e_real] :
% 0.26/0.48        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ ( produc1853244124e_real @ A5 @ B5 ) )
% 0.26/0.48       => ~ ( ( member_char_real_o @ A2 @ A5 )
% 0.26/0.48           => ~ ( member2042895986e_real @ B2 @ ( B5 @ A2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaE2
% 0.26/0.48  thf(fact_238_SigmaD2,axiom,
% 0.26/0.48      ! [A2: char > real,B2: produc1020032539e_real,A5: set_char_real,B5: ( char > real ) > set_Pr307567739e_real] :
% 0.26/0.48        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ ( produc34356277e_real @ A5 @ B5 ) )
% 0.26/0.48       => ( member544802500e_real @ B2 @ ( B5 @ A2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaD2
% 0.26/0.48  thf(fact_239_SigmaD2,axiom,
% 0.26/0.48      ! [A2: char > real > real,B2: produc104944723e_real,A5: set_char_real_real,B5: ( char > real > real ) > set_Pr268868489e_real] :
% 0.26/0.48        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ ( produc522711812e_real @ A5 @ B5 ) )
% 0.26/0.48       => ( member1871517162e_real @ B2 @ ( B5 @ A2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaD2
% 0.26/0.48  thf(fact_240_SigmaD2,axiom,
% 0.26/0.48      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A5: set_char_real_o,B5: ( char > real > $o ) > set_ch845833233e_real] :
% 0.26/0.48        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ ( produc1853244124e_real @ A5 @ B5 ) )
% 0.26/0.48       => ( member2042895986e_real @ B2 @ ( B5 @ A2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaD2
% 0.26/0.48  thf(fact_241_SigmaD1,axiom,
% 0.26/0.48      ! [A2: char > real,B2: produc1020032539e_real,A5: set_char_real,B5: ( char > real ) > set_Pr307567739e_real] :
% 0.26/0.48        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ ( produc34356277e_real @ A5 @ B5 ) )
% 0.26/0.48       => ( member_char_real @ A2 @ A5 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaD1
% 0.26/0.48  thf(fact_242_SigmaD1,axiom,
% 0.26/0.48      ! [A2: char > real > real,B2: produc104944723e_real,A5: set_char_real_real,B5: ( char > real > real ) > set_Pr268868489e_real] :
% 0.26/0.48        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ ( produc522711812e_real @ A5 @ B5 ) )
% 0.26/0.48       => ( member312374654l_real @ A2 @ A5 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaD1
% 0.26/0.48  thf(fact_243_SigmaD1,axiom,
% 0.26/0.48      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A5: set_char_real_o,B5: ( char > real > $o ) > set_ch845833233e_real] :
% 0.26/0.48        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ ( produc1853244124e_real @ A5 @ B5 ) )
% 0.26/0.48       => ( member_char_real_o @ A2 @ A5 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaD1
% 0.26/0.48  thf(fact_244_SigmaE,axiom,
% 0.26/0.48      ! [C4: produc1993135732e_real,A5: set_char_real,B5: ( char > real ) > set_Pr307567739e_real] :
% 0.26/0.48        ( ( member1491807627e_real @ C4 @ ( produc34356277e_real @ A5 @ B5 ) )
% 0.26/0.48       => ~ ! [X3: char > real] :
% 0.26/0.48              ( ( member_char_real @ X3 @ A5 )
% 0.26/0.48             => ! [Y3: produc1020032539e_real] :
% 0.26/0.48                  ( ( member544802500e_real @ Y3 @ ( B5 @ X3 ) )
% 0.26/0.48                 => ( C4
% 0.26/0.48                   != ( produc2125489830e_real @ X3 @ Y3 ) ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaE
% 0.26/0.48  thf(fact_245_SigmaE,axiom,
% 0.26/0.48      ! [C4: produc1020032539e_real,A5: set_char_real_real,B5: ( char > real > real ) > set_Pr268868489e_real] :
% 0.26/0.48        ( ( member544802500e_real @ C4 @ ( produc522711812e_real @ A5 @ B5 ) )
% 0.26/0.48       => ~ ! [X3: char > real > real] :
% 0.26/0.48              ( ( member312374654l_real @ X3 @ A5 )
% 0.26/0.48             => ! [Y3: produc104944723e_real] :
% 0.26/0.48                  ( ( member1871517162e_real @ Y3 @ ( B5 @ X3 ) )
% 0.26/0.48                 => ( C4
% 0.26/0.48                   != ( produc141013715e_real @ X3 @ Y3 ) ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaE
% 0.26/0.48  thf(fact_246_SigmaE,axiom,
% 0.26/0.48      ! [C4: produc104944723e_real,A5: set_char_real_o,B5: ( char > real > $o ) > set_ch845833233e_real] :
% 0.26/0.48        ( ( member1871517162e_real @ C4 @ ( produc1853244124e_real @ A5 @ B5 ) )
% 0.26/0.48       => ~ ! [X3: char > real > $o] :
% 0.26/0.48              ( ( member_char_real_o @ X3 @ A5 )
% 0.26/0.48             => ! [Y3: char > set_variable_real > set_variable_real] :
% 0.26/0.48                  ( ( member2042895986e_real @ Y3 @ ( B5 @ X3 ) )
% 0.26/0.48                 => ( C4
% 0.26/0.48                   != ( produc2007437005e_real @ X3 @ Y3 ) ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % SigmaE
% 0.26/0.48  thf(fact_247_UNIV__def,axiom,
% 0.26/0.48      ( top_to239690646e_real
% 0.26/0.48      = ( collec633296133e_real
% 0.26/0.48        @ ^ [X4: variable > real] : $true ) ) ).
% 0.26/0.48  
% 0.26/0.48  % UNIV_def
% 0.26/0.48  thf(fact_248_Collect__case__prod__Sigma,axiom,
% 0.26/0.48      ! [P: ( variable > real ) > $o,Q: ( variable > real ) > ( variable > real ) > $o] :
% 0.26/0.48        ( ( collec1042577836e_real
% 0.26/0.48          @ ( produc1299805450real_o
% 0.26/0.48            @ ^ [X4: variable > real,Y4: variable > real] :
% 0.26/0.48                ( ( P @ X4 )
% 0.26/0.48                & ( Q @ X4 @ Y4 ) ) ) )
% 0.26/0.48        = ( produc979346218e_real @ ( collec633296133e_real @ P )
% 0.26/0.48          @ ^ [X4: variable > real] : ( collec633296133e_real @ ( Q @ X4 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % Collect_case_prod_Sigma
% 0.26/0.48  thf(fact_249_swap__product,axiom,
% 0.26/0.48      ! [A5: set_Pr307567739e_real,B5: set_char_real] :
% 0.26/0.48        ( ( image_152725217e_real
% 0.26/0.48          @ ( produc864726913e_real
% 0.26/0.48            @ ^ [I3: produc1020032539e_real,J2: char > real] : ( produc2125489830e_real @ J2 @ I3 ) )
% 0.26/0.48          @ ( produc1373880559r_real @ A5
% 0.26/0.48            @ ^ [Uu: produc1020032539e_real] : B5 ) )
% 0.26/0.48        = ( produc34356277e_real @ B5
% 0.26/0.48          @ ^ [Uu: char > real] : A5 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % swap_product
% 0.26/0.48  thf(fact_250_swap__product,axiom,
% 0.26/0.48      ! [A5: set_Pr268868489e_real,B5: set_char_real_real] :
% 0.26/0.48        ( ( image_711552709e_real
% 0.26/0.48          @ ( produc991789875e_real
% 0.26/0.48            @ ^ [I3: produc104944723e_real,J2: char > real > real] : ( produc141013715e_real @ J2 @ I3 ) )
% 0.26/0.48          @ ( produc1435543300l_real @ A5
% 0.26/0.48            @ ^ [Uu: produc104944723e_real] : B5 ) )
% 0.26/0.48        = ( produc522711812e_real @ B5
% 0.26/0.48          @ ^ [Uu: char > real > real] : A5 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % swap_product
% 0.26/0.48  thf(fact_251_swap__product,axiom,
% 0.26/0.48      ! [A5: set_ch845833233e_real,B5: set_char_real_o] :
% 0.26/0.48        ( ( image_2028344445e_real
% 0.26/0.48          @ ( produc1116016469e_real
% 0.26/0.48            @ ^ [I3: char > set_variable_real > set_variable_real,J2: char > real > $o] : ( produc2007437005e_real @ J2 @ I3 ) )
% 0.26/0.48          @ ( produc1131275492real_o @ A5
% 0.26/0.48            @ ^ [Uu: char > set_variable_real > set_variable_real] : B5 ) )
% 0.26/0.48        = ( produc1853244124e_real @ B5
% 0.26/0.48          @ ^ [Uu: char > real > $o] : A5 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % swap_product
% 0.26/0.48  thf(fact_252_same__fstI,axiom,
% 0.26/0.48      ! [P: ( char > real ) > $o,X: char > real,Y6: produc1020032539e_real,Y: produc1020032539e_real,R: ( char > real ) > set_Pr1517071815e_real] :
% 0.26/0.48        ( ( P @ X )
% 0.26/0.48       => ( ( member1778419728e_real @ ( produc680410711e_real @ Y6 @ Y ) @ ( R @ X ) )
% 0.26/0.48         => ( member1966130802e_real @ ( produc638505729e_real @ ( produc2125489830e_real @ X @ Y6 ) @ ( produc2125489830e_real @ X @ Y ) ) @ ( same_f764716049e_real @ P @ R ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % same_fstI
% 0.26/0.48  thf(fact_253_same__fstI,axiom,
% 0.26/0.48      ! [P: ( char > real > real ) > $o,X: char > real > real,Y6: produc104944723e_real,Y: produc104944723e_real,R: ( char > real > real ) > set_Pr521705191e_real] :
% 0.26/0.48        ( ( P @ X )
% 0.26/0.48       => ( ( member2016544560e_real @ ( produc1957227327e_real @ Y6 @ Y ) @ ( R @ X ) )
% 0.26/0.48         => ( member1778419728e_real @ ( produc680410711e_real @ ( produc141013715e_real @ X @ Y6 ) @ ( produc141013715e_real @ X @ Y ) ) @ ( same_f1243548200e_real @ P @ R ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % same_fstI
% 0.26/0.48  thf(fact_254_same__fstI,axiom,
% 0.26/0.48      ! [P: ( char > real > $o ) > $o,X: char > real > $o,Y6: char > set_variable_real > set_variable_real,Y: char > set_variable_real > set_variable_real,R: ( char > real > $o ) > set_Pr1588228599e_real] :
% 0.26/0.48        ( ( P @ X )
% 0.26/0.48       => ( ( member625963584e_real @ ( produc525232719e_real @ Y6 @ Y ) @ ( R @ X ) )
% 0.26/0.48         => ( member2016544560e_real @ ( produc1957227327e_real @ ( produc2007437005e_real @ X @ Y6 ) @ ( produc2007437005e_real @ X @ Y ) ) @ ( same_f1185518776e_real @ P @ R ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % same_fstI
% 0.26/0.48  thf(fact_255_map__prod__simp,axiom,
% 0.26/0.48      ! [F3: ( char > real ) > char > real,G2: produc1020032539e_real > produc1020032539e_real,A2: char > real,B2: produc1020032539e_real] :
% 0.26/0.48        ( ( produc552964208e_real @ F3 @ G2 @ ( produc2125489830e_real @ A2 @ B2 ) )
% 0.26/0.48        = ( produc2125489830e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_simp
% 0.26/0.48  thf(fact_256_map__prod__simp,axiom,
% 0.26/0.48      ! [F3: ( char > real ) > char > real > real,G2: produc1020032539e_real > produc104944723e_real,A2: char > real,B2: produc1020032539e_real] :
% 0.26/0.48        ( ( produc202772275e_real @ F3 @ G2 @ ( produc2125489830e_real @ A2 @ B2 ) )
% 0.26/0.48        = ( produc141013715e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_simp
% 0.26/0.48  thf(fact_257_map__prod__simp,axiom,
% 0.26/0.48      ! [F3: ( char > real ) > char > real > $o,G2: produc1020032539e_real > char > set_variable_real > set_variable_real,A2: char > real,B2: produc1020032539e_real] :
% 0.26/0.48        ( ( produc1797673857e_real @ F3 @ G2 @ ( produc2125489830e_real @ A2 @ B2 ) )
% 0.26/0.48        = ( produc2007437005e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_simp
% 0.26/0.48  thf(fact_258_map__prod__simp,axiom,
% 0.26/0.48      ! [F3: ( char > real > real ) > char > real,G2: produc104944723e_real > produc1020032539e_real,A2: char > real > real,B2: produc104944723e_real] :
% 0.26/0.48        ( ( produc348783435e_real @ F3 @ G2 @ ( produc141013715e_real @ A2 @ B2 ) )
% 0.26/0.48        = ( produc2125489830e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_simp
% 0.26/0.48  thf(fact_259_map__prod__simp,axiom,
% 0.26/0.48      ! [F3: ( char > real > real ) > char > real > real,G2: produc104944723e_real > produc104944723e_real,A2: char > real > real,B2: produc104944723e_real] :
% 0.26/0.48        ( ( produc2131385966e_real @ F3 @ G2 @ ( produc141013715e_real @ A2 @ B2 ) )
% 0.26/0.48        = ( produc141013715e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_simp
% 0.26/0.48  thf(fact_260_map__prod__simp,axiom,
% 0.26/0.48      ! [F3: ( char > real > real ) > char > real > $o,G2: produc104944723e_real > char > set_variable_real > set_variable_real,A2: char > real > real,B2: produc104944723e_real] :
% 0.26/0.48        ( ( produc683016410e_real @ F3 @ G2 @ ( produc141013715e_real @ A2 @ B2 ) )
% 0.26/0.48        = ( produc2007437005e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_simp
% 0.26/0.48  thf(fact_261_map__prod__simp,axiom,
% 0.26/0.48      ! [F3: ( char > real > $o ) > char > real,G2: ( char > set_variable_real > set_variable_real ) > produc1020032539e_real,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( produc1251731407e_real @ F3 @ G2 @ ( produc2007437005e_real @ A2 @ B2 ) )
% 0.26/0.48        = ( produc2125489830e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_simp
% 0.26/0.48  thf(fact_262_map__prod__simp,axiom,
% 0.26/0.48      ! [F3: ( char > real > $o ) > char > real > real,G2: ( char > set_variable_real > set_variable_real ) > produc104944723e_real,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( produc753666538e_real @ F3 @ G2 @ ( produc2007437005e_real @ A2 @ B2 ) )
% 0.26/0.48        = ( produc141013715e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_simp
% 0.26/0.48  thf(fact_263_map__prod__simp,axiom,
% 0.26/0.48      ! [F3: ( char > real > $o ) > char > real > $o,G2: ( char > set_variable_real > set_variable_real ) > char > set_variable_real > set_variable_real,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( produc355430254e_real @ F3 @ G2 @ ( produc2007437005e_real @ A2 @ B2 ) )
% 0.26/0.48        = ( produc2007437005e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_simp
% 0.26/0.48  thf(fact_264_map__prod__imageI,axiom,
% 0.26/0.48      ! [A2: char > real,B2: produc1020032539e_real,R: set_Pr397354154e_real,F3: ( char > real ) > char > real,G2: produc1020032539e_real > produc1020032539e_real] :
% 0.26/0.48        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ R )
% 0.26/0.48       => ( member1491807627e_real @ ( produc2125489830e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_866442351e_real @ ( produc552964208e_real @ F3 @ G2 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_imageI
% 0.26/0.48  thf(fact_265_map__prod__imageI,axiom,
% 0.26/0.48      ! [A2: char > real,B2: produc1020032539e_real,R: set_Pr397354154e_real,F3: ( char > real ) > char > real > real,G2: produc1020032539e_real > produc104944723e_real] :
% 0.26/0.48        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ R )
% 0.26/0.48       => ( member544802500e_real @ ( produc141013715e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_479987936e_real @ ( produc202772275e_real @ F3 @ G2 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_imageI
% 0.26/0.48  thf(fact_266_map__prod__imageI,axiom,
% 0.26/0.48      ! [A2: char > real,B2: produc1020032539e_real,R: set_Pr397354154e_real,F3: ( char > real ) > char > real > $o,G2: produc1020032539e_real > char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ R )
% 0.26/0.48       => ( member1871517162e_real @ ( produc2007437005e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_426244814e_real @ ( produc1797673857e_real @ F3 @ G2 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_imageI
% 0.26/0.48  thf(fact_267_map__prod__imageI,axiom,
% 0.26/0.48      ! [A2: char > real > real,B2: produc104944723e_real,R: set_Pr307567739e_real,F3: ( char > real > real ) > char > real,G2: produc104944723e_real > produc1020032539e_real] :
% 0.26/0.48        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ R )
% 0.26/0.48       => ( member1491807627e_real @ ( produc2125489830e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_1698073930e_real @ ( produc348783435e_real @ F3 @ G2 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_imageI
% 0.26/0.48  thf(fact_268_map__prod__imageI,axiom,
% 0.26/0.48      ! [A2: char > real > real,B2: produc104944723e_real,R: set_Pr307567739e_real,F3: ( char > real > real ) > char > real > real,G2: produc104944723e_real > produc104944723e_real] :
% 0.26/0.48        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ R )
% 0.26/0.48       => ( member544802500e_real @ ( produc141013715e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_1823533253e_real @ ( produc2131385966e_real @ F3 @ G2 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_imageI
% 0.26/0.48  thf(fact_269_map__prod__imageI,axiom,
% 0.26/0.48      ! [A2: char > real > real,B2: produc104944723e_real,R: set_Pr307567739e_real,F3: ( char > real > real ) > char > real > $o,G2: produc104944723e_real > char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ R )
% 0.26/0.48       => ( member1871517162e_real @ ( produc2007437005e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_450993193e_real @ ( produc683016410e_real @ F3 @ G2 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_imageI
% 0.26/0.48  thf(fact_270_map__prod__imageI,axiom,
% 0.26/0.48      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,R: set_Pr268868489e_real,F3: ( char > real > $o ) > char > real,G2: ( char > set_variable_real > set_variable_real ) > produc1020032539e_real] :
% 0.26/0.48        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ R )
% 0.26/0.48       => ( member1491807627e_real @ ( produc2125489830e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_300296654e_real @ ( produc1251731407e_real @ F3 @ G2 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_imageI
% 0.26/0.48  thf(fact_271_map__prod__imageI,axiom,
% 0.26/0.48      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,R: set_Pr268868489e_real,F3: ( char > real > $o ) > char > real > real,G2: ( char > set_variable_real > set_variable_real ) > produc104944723e_real] :
% 0.26/0.48        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ R )
% 0.26/0.48       => ( member544802500e_real @ ( produc141013715e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_1739334977e_real @ ( produc753666538e_real @ F3 @ G2 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_imageI
% 0.26/0.48  thf(fact_272_map__prod__imageI,axiom,
% 0.26/0.48      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,R: set_Pr268868489e_real,F3: ( char > real > $o ) > char > real > $o,G2: ( char > set_variable_real > set_variable_real ) > char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ R )
% 0.26/0.48       => ( member1871517162e_real @ ( produc2007437005e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_670686893e_real @ ( produc355430254e_real @ F3 @ G2 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % map_prod_imageI
% 0.26/0.48  thf(fact_273_in__lex__prod,axiom,
% 0.26/0.48      ! [A2: char > real,B2: produc1020032539e_real,A3: char > real,B3: produc1020032539e_real,R2: set_Pr42335993r_real,S2: set_Pr1517071815e_real] :
% 0.26/0.48        ( ( member1966130802e_real @ ( produc638505729e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ ( produc2125489830e_real @ A3 @ B3 ) ) @ ( lex_pr1793499278e_real @ R2 @ S2 ) )
% 0.26/0.48        = ( ( member1086859330r_real @ ( produc700235985r_real @ A2 @ A3 ) @ R2 )
% 0.26/0.48          | ( ( A2 = A3 )
% 0.26/0.48            & ( member1778419728e_real @ ( produc680410711e_real @ B2 @ B3 ) @ S2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % in_lex_prod
% 0.26/0.48  thf(fact_274_in__lex__prod,axiom,
% 0.26/0.48      ! [A2: char > real > real,B2: produc104944723e_real,A3: char > real > real,B3: produc104944723e_real,R2: set_Pr1919093775l_real,S2: set_Pr521705191e_real] :
% 0.26/0.48        ( ( member1778419728e_real @ ( produc680410711e_real @ ( produc141013715e_real @ A2 @ B2 ) @ ( produc141013715e_real @ A3 @ B3 ) ) @ ( lex_pr592421611e_real @ R2 @ S2 ) )
% 0.26/0.48        = ( ( member1801875544l_real @ ( produc686464615l_real @ A2 @ A3 ) @ R2 )
% 0.26/0.48          | ( ( A2 = A3 )
% 0.26/0.48            & ( member2016544560e_real @ ( produc1957227327e_real @ B2 @ B3 ) @ S2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % in_lex_prod
% 0.26/0.48  thf(fact_275_in__lex__prod,axiom,
% 0.26/0.48      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A3: char > real > $o,B3: char > set_variable_real > set_variable_real,R2: set_Pr1053253703real_o,S2: set_Pr1588228599e_real] :
% 0.26/0.48        ( ( member2016544560e_real @ ( produc1957227327e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ ( produc2007437005e_real @ A3 @ B3 ) ) @ ( lex_pr2056840373e_real @ R2 @ S2 ) )
% 0.26/0.48        = ( ( member1795186320real_o @ ( produc1566957527real_o @ A2 @ A3 ) @ R2 )
% 0.26/0.48          | ( ( A2 = A3 )
% 0.26/0.48            & ( member625963584e_real @ ( produc525232719e_real @ B2 @ B3 ) @ S2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % in_lex_prod
% 0.26/0.48  thf(fact_276_prod__fun__imageE,axiom,
% 0.26/0.48      ! [C4: produc1993135732e_real,F3: ( char > real ) > char > real,G2: produc1020032539e_real > produc1020032539e_real,R: set_Pr397354154e_real] :
% 0.26/0.48        ( ( member1491807627e_real @ C4 @ ( image_866442351e_real @ ( produc552964208e_real @ F3 @ G2 ) @ R ) )
% 0.26/0.48       => ~ ! [X3: char > real,Y3: produc1020032539e_real] :
% 0.26/0.48              ( ( C4
% 0.26/0.48                = ( produc2125489830e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 0.26/0.48             => ~ ( member1491807627e_real @ ( produc2125489830e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod_fun_imageE
% 0.26/0.48  thf(fact_277_prod__fun__imageE,axiom,
% 0.26/0.48      ! [C4: produc1993135732e_real,F3: ( char > real > real ) > char > real,G2: produc104944723e_real > produc1020032539e_real,R: set_Pr307567739e_real] :
% 0.26/0.48        ( ( member1491807627e_real @ C4 @ ( image_1698073930e_real @ ( produc348783435e_real @ F3 @ G2 ) @ R ) )
% 0.26/0.48       => ~ ! [X3: char > real > real,Y3: produc104944723e_real] :
% 0.26/0.48              ( ( C4
% 0.26/0.48                = ( produc2125489830e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 0.26/0.48             => ~ ( member544802500e_real @ ( produc141013715e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod_fun_imageE
% 0.26/0.48  thf(fact_278_prod__fun__imageE,axiom,
% 0.26/0.48      ! [C4: produc1993135732e_real,F3: ( char > real > $o ) > char > real,G2: ( char > set_variable_real > set_variable_real ) > produc1020032539e_real,R: set_Pr268868489e_real] :
% 0.26/0.48        ( ( member1491807627e_real @ C4 @ ( image_300296654e_real @ ( produc1251731407e_real @ F3 @ G2 ) @ R ) )
% 0.26/0.48       => ~ ! [X3: char > real > $o,Y3: char > set_variable_real > set_variable_real] :
% 0.26/0.48              ( ( C4
% 0.26/0.48                = ( produc2125489830e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 0.26/0.48             => ~ ( member1871517162e_real @ ( produc2007437005e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod_fun_imageE
% 0.26/0.48  thf(fact_279_prod__fun__imageE,axiom,
% 0.26/0.48      ! [C4: produc1020032539e_real,F3: ( char > real ) > char > real > real,G2: produc1020032539e_real > produc104944723e_real,R: set_Pr397354154e_real] :
% 0.26/0.48        ( ( member544802500e_real @ C4 @ ( image_479987936e_real @ ( produc202772275e_real @ F3 @ G2 ) @ R ) )
% 0.26/0.48       => ~ ! [X3: char > real,Y3: produc1020032539e_real] :
% 0.26/0.48              ( ( C4
% 0.26/0.48                = ( produc141013715e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 0.26/0.48             => ~ ( member1491807627e_real @ ( produc2125489830e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod_fun_imageE
% 0.26/0.48  thf(fact_280_prod__fun__imageE,axiom,
% 0.26/0.48      ! [C4: produc1020032539e_real,F3: ( char > real > real ) > char > real > real,G2: produc104944723e_real > produc104944723e_real,R: set_Pr307567739e_real] :
% 0.26/0.48        ( ( member544802500e_real @ C4 @ ( image_1823533253e_real @ ( produc2131385966e_real @ F3 @ G2 ) @ R ) )
% 0.26/0.48       => ~ ! [X3: char > real > real,Y3: produc104944723e_real] :
% 0.26/0.48              ( ( C4
% 0.26/0.48                = ( produc141013715e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 0.26/0.48             => ~ ( member544802500e_real @ ( produc141013715e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod_fun_imageE
% 0.26/0.48  thf(fact_281_prod__fun__imageE,axiom,
% 0.26/0.48      ! [C4: produc1020032539e_real,F3: ( char > real > $o ) > char > real > real,G2: ( char > set_variable_real > set_variable_real ) > produc104944723e_real,R: set_Pr268868489e_real] :
% 0.26/0.48        ( ( member544802500e_real @ C4 @ ( image_1739334977e_real @ ( produc753666538e_real @ F3 @ G2 ) @ R ) )
% 0.26/0.48       => ~ ! [X3: char > real > $o,Y3: char > set_variable_real > set_variable_real] :
% 0.26/0.48              ( ( C4
% 0.26/0.48                = ( produc141013715e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 0.26/0.48             => ~ ( member1871517162e_real @ ( produc2007437005e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod_fun_imageE
% 0.26/0.48  thf(fact_282_prod__fun__imageE,axiom,
% 0.26/0.48      ! [C4: produc104944723e_real,F3: ( char > real ) > char > real > $o,G2: produc1020032539e_real > char > set_variable_real > set_variable_real,R: set_Pr397354154e_real] :
% 0.26/0.48        ( ( member1871517162e_real @ C4 @ ( image_426244814e_real @ ( produc1797673857e_real @ F3 @ G2 ) @ R ) )
% 0.26/0.48       => ~ ! [X3: char > real,Y3: produc1020032539e_real] :
% 0.26/0.48              ( ( C4
% 0.26/0.48                = ( produc2007437005e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 0.26/0.48             => ~ ( member1491807627e_real @ ( produc2125489830e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod_fun_imageE
% 0.26/0.48  thf(fact_283_prod__fun__imageE,axiom,
% 0.26/0.48      ! [C4: produc104944723e_real,F3: ( char > real > real ) > char > real > $o,G2: produc104944723e_real > char > set_variable_real > set_variable_real,R: set_Pr307567739e_real] :
% 0.26/0.48        ( ( member1871517162e_real @ C4 @ ( image_450993193e_real @ ( produc683016410e_real @ F3 @ G2 ) @ R ) )
% 0.26/0.48       => ~ ! [X3: char > real > real,Y3: produc104944723e_real] :
% 0.26/0.48              ( ( C4
% 0.26/0.48                = ( produc2007437005e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 0.26/0.48             => ~ ( member544802500e_real @ ( produc141013715e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod_fun_imageE
% 0.26/0.48  thf(fact_284_prod__fun__imageE,axiom,
% 0.26/0.48      ! [C4: produc104944723e_real,F3: ( char > real > $o ) > char > real > $o,G2: ( char > set_variable_real > set_variable_real ) > char > set_variable_real > set_variable_real,R: set_Pr268868489e_real] :
% 0.26/0.48        ( ( member1871517162e_real @ C4 @ ( image_670686893e_real @ ( produc355430254e_real @ F3 @ G2 ) @ R ) )
% 0.26/0.48       => ~ ! [X3: char > real > $o,Y3: char > set_variable_real > set_variable_real] :
% 0.26/0.48              ( ( C4
% 0.26/0.48                = ( produc2007437005e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 0.26/0.48             => ~ ( member1871517162e_real @ ( produc2007437005e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod_fun_imageE
% 0.26/0.48  thf(fact_285_empty__Collect__eq,axiom,
% 0.26/0.48      ! [P: ( variable > real ) > $o] :
% 0.26/0.48        ( ( bot_bo721182586e_real
% 0.26/0.48          = ( collec633296133e_real @ P ) )
% 0.26/0.48        = ( ! [X4: variable > real] :
% 0.26/0.48              ~ ( P @ X4 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % empty_Collect_eq
% 0.26/0.48  thf(fact_286_Collect__empty__eq,axiom,
% 0.26/0.48      ! [P: ( variable > real ) > $o] :
% 0.26/0.48        ( ( ( collec633296133e_real @ P )
% 0.26/0.48          = bot_bo721182586e_real )
% 0.26/0.48        = ( ! [X4: variable > real] :
% 0.26/0.48              ~ ( P @ X4 ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % Collect_empty_eq
% 0.26/0.48  thf(fact_287_Collect__const,axiom,
% 0.26/0.48      ! [P: $o] :
% 0.26/0.48        ( ( P
% 0.26/0.48         => ( ( collec633296133e_real
% 0.26/0.48              @ ^ [S4: variable > real] : P )
% 0.26/0.48            = top_to239690646e_real ) )
% 0.26/0.48        & ( ~ P
% 0.26/0.48         => ( ( collec633296133e_real
% 0.26/0.48              @ ^ [S4: variable > real] : P )
% 0.26/0.48            = bot_bo721182586e_real ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % Collect_const
% 0.26/0.48  thf(fact_288_prod_Ocollapse,axiom,
% 0.26/0.48      ! [Prod: produc1993135732e_real] :
% 0.26/0.48        ( ( produc2125489830e_real @ ( produc1146879930e_real @ Prod ) @ ( produc1176159992e_real @ Prod ) )
% 0.26/0.48        = Prod ) ).
% 0.26/0.48  
% 0.26/0.48  % prod.collapse
% 0.26/0.48  thf(fact_289_prod_Ocollapse,axiom,
% 0.26/0.48      ! [Prod: produc1020032539e_real] :
% 0.26/0.48        ( ( produc141013715e_real @ ( produc634910399e_real @ Prod ) @ ( produc1179001601e_real @ Prod ) )
% 0.26/0.48        = Prod ) ).
% 0.26/0.48  
% 0.26/0.48  % prod.collapse
% 0.26/0.48  thf(fact_290_prod_Ocollapse,axiom,
% 0.26/0.48      ! [Prod: produc104944723e_real] :
% 0.26/0.48        ( ( produc2007437005e_real @ ( produc1486464481e_real @ Prod ) @ ( produc504912415e_real @ Prod ) )
% 0.26/0.48        = Prod ) ).
% 0.26/0.48  
% 0.26/0.48  % prod.collapse
% 0.26/0.48  thf(fact_291_empty__def,axiom,
% 0.26/0.48      ( bot_bo721182586e_real
% 0.26/0.48      = ( collec633296133e_real
% 0.26/0.48        @ ^ [X4: variable > real] : $false ) ) ).
% 0.26/0.48  
% 0.26/0.48  % empty_def
% 0.26/0.48  thf(fact_292_surjective__pairing,axiom,
% 0.26/0.48      ! [T: produc1993135732e_real] :
% 0.26/0.48        ( T
% 0.26/0.48        = ( produc2125489830e_real @ ( produc1146879930e_real @ T ) @ ( produc1176159992e_real @ T ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % surjective_pairing
% 0.26/0.48  thf(fact_293_surjective__pairing,axiom,
% 0.26/0.48      ! [T: produc1020032539e_real] :
% 0.26/0.48        ( T
% 0.26/0.48        = ( produc141013715e_real @ ( produc634910399e_real @ T ) @ ( produc1179001601e_real @ T ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % surjective_pairing
% 0.26/0.48  thf(fact_294_surjective__pairing,axiom,
% 0.26/0.48      ! [T: produc104944723e_real] :
% 0.26/0.48        ( T
% 0.26/0.48        = ( produc2007437005e_real @ ( produc1486464481e_real @ T ) @ ( produc504912415e_real @ T ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % surjective_pairing
% 0.26/0.48  thf(fact_295_prod_Oexhaust__sel,axiom,
% 0.26/0.48      ! [Prod: produc1993135732e_real] :
% 0.26/0.48        ( Prod
% 0.26/0.48        = ( produc2125489830e_real @ ( produc1146879930e_real @ Prod ) @ ( produc1176159992e_real @ Prod ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod.exhaust_sel
% 0.26/0.48  thf(fact_296_prod_Oexhaust__sel,axiom,
% 0.26/0.48      ! [Prod: produc1020032539e_real] :
% 0.26/0.48        ( Prod
% 0.26/0.48        = ( produc141013715e_real @ ( produc634910399e_real @ Prod ) @ ( produc1179001601e_real @ Prod ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod.exhaust_sel
% 0.26/0.48  thf(fact_297_prod_Oexhaust__sel,axiom,
% 0.26/0.48      ! [Prod: produc104944723e_real] :
% 0.26/0.48        ( Prod
% 0.26/0.48        = ( produc2007437005e_real @ ( produc1486464481e_real @ Prod ) @ ( produc504912415e_real @ Prod ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod.exhaust_sel
% 0.26/0.48  thf(fact_298_prod_Oswap__def,axiom,
% 0.26/0.48      ( produc918320576r_real
% 0.26/0.48      = ( ^ [P3: produc2139219430r_real] : ( produc2125489830e_real @ ( produc368200626r_real @ P3 ) @ ( produc338920564r_real @ P3 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod.swap_def
% 0.26/0.48  thf(fact_299_prod_Oswap__def,axiom,
% 0.26/0.48      ( produc1778103411l_real
% 0.26/0.48      = ( ^ [P3: produc729247771l_real] : ( produc141013715e_real @ ( produc2091833089l_real @ P3 ) @ ( produc1547741887l_real @ P3 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod.swap_def
% 0.26/0.48  thf(fact_300_prod_Oswap__def,axiom,
% 0.26/0.48      ( produc192924469real_o
% 0.26/0.48      = ( ^ [P3: produc1606031907real_o] : ( produc2007437005e_real @ ( produc1930427431real_o @ P3 ) @ ( produc764495849real_o @ P3 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prod.swap_def
% 0.26/0.48  thf(fact_301_snd__conv,axiom,
% 0.26/0.48      ! [X1: char > real,X2: produc1020032539e_real] :
% 0.26/0.48        ( ( produc1176159992e_real @ ( produc2125489830e_real @ X1 @ X2 ) )
% 0.26/0.48        = X2 ) ).
% 0.26/0.48  
% 0.26/0.48  % snd_conv
% 0.26/0.48  thf(fact_302_snd__conv,axiom,
% 0.26/0.48      ! [X1: char > real > real,X2: produc104944723e_real] :
% 0.26/0.48        ( ( produc1179001601e_real @ ( produc141013715e_real @ X1 @ X2 ) )
% 0.26/0.48        = X2 ) ).
% 0.26/0.48  
% 0.26/0.48  % snd_conv
% 0.26/0.48  thf(fact_303_snd__conv,axiom,
% 0.26/0.48      ! [X1: char > real > $o,X2: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( produc504912415e_real @ ( produc2007437005e_real @ X1 @ X2 ) )
% 0.26/0.48        = X2 ) ).
% 0.26/0.48  
% 0.26/0.48  % snd_conv
% 0.26/0.48  thf(fact_304_snd__eqD,axiom,
% 0.26/0.48      ! [X: char > real,Y: produc1020032539e_real,A2: produc1020032539e_real] :
% 0.26/0.48        ( ( ( produc1176159992e_real @ ( produc2125489830e_real @ X @ Y ) )
% 0.26/0.48          = A2 )
% 0.26/0.48       => ( Y = A2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % snd_eqD
% 0.26/0.48  thf(fact_305_snd__eqD,axiom,
% 0.26/0.48      ! [X: char > real > real,Y: produc104944723e_real,A2: produc104944723e_real] :
% 0.26/0.48        ( ( ( produc1179001601e_real @ ( produc141013715e_real @ X @ Y ) )
% 0.26/0.48          = A2 )
% 0.26/0.48       => ( Y = A2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % snd_eqD
% 0.26/0.48  thf(fact_306_snd__eqD,axiom,
% 0.26/0.48      ! [X: char > real > $o,Y: char > set_variable_real > set_variable_real,A2: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( ( produc504912415e_real @ ( produc2007437005e_real @ X @ Y ) )
% 0.26/0.48          = A2 )
% 0.26/0.48       => ( Y = A2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % snd_eqD
% 0.26/0.48  thf(fact_307_snd__pair,axiom,
% 0.26/0.48      ! [A2: char > real,B2: produc1020032539e_real] :
% 0.26/0.48        ( ( produc1176159992e_real @ ( produc2125489830e_real @ A2 @ B2 ) )
% 0.26/0.48        = B2 ) ).
% 0.26/0.48  
% 0.26/0.48  % snd_pair
% 0.26/0.48  thf(fact_308_snd__pair,axiom,
% 0.26/0.48      ! [A2: char > real > real,B2: produc104944723e_real] :
% 0.26/0.48        ( ( produc1179001601e_real @ ( produc141013715e_real @ A2 @ B2 ) )
% 0.26/0.48        = B2 ) ).
% 0.26/0.48  
% 0.26/0.48  % snd_pair
% 0.26/0.48  thf(fact_309_snd__pair,axiom,
% 0.26/0.48      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( produc504912415e_real @ ( produc2007437005e_real @ A2 @ B2 ) )
% 0.26/0.48        = B2 ) ).
% 0.26/0.48  
% 0.26/0.48  % snd_pair
% 0.26/0.48  thf(fact_310_fst__conv,axiom,
% 0.26/0.48      ! [X1: char > real,X2: produc1020032539e_real] :
% 0.26/0.48        ( ( produc1146879930e_real @ ( produc2125489830e_real @ X1 @ X2 ) )
% 0.26/0.48        = X1 ) ).
% 0.26/0.48  
% 0.26/0.48  % fst_conv
% 0.26/0.48  thf(fact_311_fst__conv,axiom,
% 0.26/0.48      ! [X1: char > real > real,X2: produc104944723e_real] :
% 0.26/0.48        ( ( produc634910399e_real @ ( produc141013715e_real @ X1 @ X2 ) )
% 0.26/0.48        = X1 ) ).
% 0.26/0.48  
% 0.26/0.48  % fst_conv
% 0.26/0.48  thf(fact_312_fst__conv,axiom,
% 0.26/0.48      ! [X1: char > real > $o,X2: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( produc1486464481e_real @ ( produc2007437005e_real @ X1 @ X2 ) )
% 0.26/0.48        = X1 ) ).
% 0.26/0.48  
% 0.26/0.48  % fst_conv
% 0.26/0.48  thf(fact_313_fst__eqD,axiom,
% 0.26/0.48      ! [X: char > real,Y: produc1020032539e_real,A2: char > real] :
% 0.26/0.48        ( ( ( produc1146879930e_real @ ( produc2125489830e_real @ X @ Y ) )
% 0.26/0.48          = A2 )
% 0.26/0.48       => ( X = A2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % fst_eqD
% 0.26/0.48  thf(fact_314_fst__eqD,axiom,
% 0.26/0.48      ! [X: char > real > real,Y: produc104944723e_real,A2: char > real > real] :
% 0.26/0.48        ( ( ( produc634910399e_real @ ( produc141013715e_real @ X @ Y ) )
% 0.26/0.48          = A2 )
% 0.26/0.48       => ( X = A2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % fst_eqD
% 0.26/0.48  thf(fact_315_fst__eqD,axiom,
% 0.26/0.48      ! [X: char > real > $o,Y: char > set_variable_real > set_variable_real,A2: char > real > $o] :
% 0.26/0.48        ( ( ( produc1486464481e_real @ ( produc2007437005e_real @ X @ Y ) )
% 0.26/0.48          = A2 )
% 0.26/0.48       => ( X = A2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % fst_eqD
% 0.26/0.48  thf(fact_316_fst__pair,axiom,
% 0.26/0.48      ! [A2: char > real,B2: produc1020032539e_real] :
% 0.26/0.48        ( ( produc1146879930e_real @ ( produc2125489830e_real @ A2 @ B2 ) )
% 0.26/0.48        = A2 ) ).
% 0.26/0.48  
% 0.26/0.48  % fst_pair
% 0.26/0.48  thf(fact_317_fst__pair,axiom,
% 0.26/0.48      ! [A2: char > real > real,B2: produc104944723e_real] :
% 0.26/0.48        ( ( produc634910399e_real @ ( produc141013715e_real @ A2 @ B2 ) )
% 0.26/0.48        = A2 ) ).
% 0.26/0.48  
% 0.26/0.48  % fst_pair
% 0.26/0.48  thf(fact_318_fst__pair,axiom,
% 0.26/0.48      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( produc1486464481e_real @ ( produc2007437005e_real @ A2 @ B2 ) )
% 0.26/0.48        = A2 ) ).
% 0.26/0.48  
% 0.26/0.48  % fst_pair
% 0.26/0.48  thf(fact_319_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 0.26/0.48      ! [P: ( char > real ) > produc1020032539e_real > $o,X: char > real,Y: produc1020032539e_real,A2: produc1993135732e_real] :
% 0.26/0.48        ( ( P @ X @ Y )
% 0.26/0.48       => ( ( A2
% 0.26/0.48            = ( produc2125489830e_real @ X @ Y ) )
% 0.26/0.48         => ( P @ ( produc1146879930e_real @ A2 ) @ ( produc1176159992e_real @ A2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % BNF_Greatest_Fixpoint.subst_Pair
% 0.26/0.48  thf(fact_320_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 0.26/0.48      ! [P: ( char > real > real ) > produc104944723e_real > $o,X: char > real > real,Y: produc104944723e_real,A2: produc1020032539e_real] :
% 0.26/0.48        ( ( P @ X @ Y )
% 0.26/0.48       => ( ( A2
% 0.26/0.48            = ( produc141013715e_real @ X @ Y ) )
% 0.26/0.48         => ( P @ ( produc634910399e_real @ A2 ) @ ( produc1179001601e_real @ A2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % BNF_Greatest_Fixpoint.subst_Pair
% 0.26/0.48  thf(fact_321_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 0.26/0.48      ! [P: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o,X: char > real > $o,Y: char > set_variable_real > set_variable_real,A2: produc104944723e_real] :
% 0.26/0.48        ( ( P @ X @ Y )
% 0.26/0.48       => ( ( A2
% 0.26/0.48            = ( produc2007437005e_real @ X @ Y ) )
% 0.26/0.48         => ( P @ ( produc1486464481e_real @ A2 ) @ ( produc504912415e_real @ A2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % BNF_Greatest_Fixpoint.subst_Pair
% 0.26/0.48  thf(fact_322_conjI__realizer,axiom,
% 0.26/0.48      ! [P: ( char > real ) > $o,P2: char > real,Q: produc1020032539e_real > $o,Q2: produc1020032539e_real] :
% 0.26/0.48        ( ( P @ P2 )
% 0.26/0.48       => ( ( Q @ Q2 )
% 0.26/0.48         => ( ( P @ ( produc1146879930e_real @ ( produc2125489830e_real @ P2 @ Q2 ) ) )
% 0.26/0.48            & ( Q @ ( produc1176159992e_real @ ( produc2125489830e_real @ P2 @ Q2 ) ) ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % conjI_realizer
% 0.26/0.48  thf(fact_323_conjI__realizer,axiom,
% 0.26/0.48      ! [P: ( char > real > real ) > $o,P2: char > real > real,Q: produc104944723e_real > $o,Q2: produc104944723e_real] :
% 0.26/0.48        ( ( P @ P2 )
% 0.26/0.48       => ( ( Q @ Q2 )
% 0.26/0.48         => ( ( P @ ( produc634910399e_real @ ( produc141013715e_real @ P2 @ Q2 ) ) )
% 0.26/0.48            & ( Q @ ( produc1179001601e_real @ ( produc141013715e_real @ P2 @ Q2 ) ) ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % conjI_realizer
% 0.26/0.48  thf(fact_324_conjI__realizer,axiom,
% 0.26/0.48      ! [P: ( char > real > $o ) > $o,P2: char > real > $o,Q: ( char > set_variable_real > set_variable_real ) > $o,Q2: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( P @ P2 )
% 0.26/0.48       => ( ( Q @ Q2 )
% 0.26/0.48         => ( ( P @ ( produc1486464481e_real @ ( produc2007437005e_real @ P2 @ Q2 ) ) )
% 0.26/0.48            & ( Q @ ( produc504912415e_real @ ( produc2007437005e_real @ P2 @ Q2 ) ) ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % conjI_realizer
% 0.26/0.48  thf(fact_325_exI__realizer,axiom,
% 0.26/0.48      ! [P: produc1020032539e_real > ( char > real ) > $o,Y: produc1020032539e_real,X: char > real] :
% 0.26/0.48        ( ( P @ Y @ X )
% 0.26/0.48       => ( P @ ( produc1176159992e_real @ ( produc2125489830e_real @ X @ Y ) ) @ ( produc1146879930e_real @ ( produc2125489830e_real @ X @ Y ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % exI_realizer
% 0.26/0.48  thf(fact_326_exI__realizer,axiom,
% 0.26/0.48      ! [P: produc104944723e_real > ( char > real > real ) > $o,Y: produc104944723e_real,X: char > real > real] :
% 0.26/0.48        ( ( P @ Y @ X )
% 0.26/0.48       => ( P @ ( produc1179001601e_real @ ( produc141013715e_real @ X @ Y ) ) @ ( produc634910399e_real @ ( produc141013715e_real @ X @ Y ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % exI_realizer
% 0.26/0.48  thf(fact_327_exI__realizer,axiom,
% 0.26/0.48      ! [P: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o,Y: char > set_variable_real > set_variable_real,X: char > real > $o] :
% 0.26/0.48        ( ( P @ Y @ X )
% 0.26/0.48       => ( P @ ( produc504912415e_real @ ( produc2007437005e_real @ X @ Y ) ) @ ( produc1486464481e_real @ ( produc2007437005e_real @ X @ Y ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % exI_realizer
% 0.26/0.48  thf(fact_328_eq__snd__iff,axiom,
% 0.26/0.48      ! [B2: produc1020032539e_real,P2: produc1993135732e_real] :
% 0.26/0.48        ( ( B2
% 0.26/0.48          = ( produc1176159992e_real @ P2 ) )
% 0.26/0.48        = ( ? [A4: char > real] :
% 0.26/0.48              ( P2
% 0.26/0.48              = ( produc2125489830e_real @ A4 @ B2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % eq_snd_iff
% 0.26/0.48  thf(fact_329_eq__snd__iff,axiom,
% 0.26/0.48      ! [B2: produc104944723e_real,P2: produc1020032539e_real] :
% 0.26/0.48        ( ( B2
% 0.26/0.48          = ( produc1179001601e_real @ P2 ) )
% 0.26/0.48        = ( ? [A4: char > real > real] :
% 0.26/0.48              ( P2
% 0.26/0.48              = ( produc141013715e_real @ A4 @ B2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % eq_snd_iff
% 0.26/0.48  thf(fact_330_eq__snd__iff,axiom,
% 0.26/0.48      ! [B2: char > set_variable_real > set_variable_real,P2: produc104944723e_real] :
% 0.26/0.48        ( ( B2
% 0.26/0.48          = ( produc504912415e_real @ P2 ) )
% 0.26/0.48        = ( ? [A4: char > real > $o] :
% 0.26/0.48              ( P2
% 0.26/0.48              = ( produc2007437005e_real @ A4 @ B2 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % eq_snd_iff
% 0.26/0.48  thf(fact_331_sndI,axiom,
% 0.26/0.48      ! [X: produc1993135732e_real,Y: char > real,Z: produc1020032539e_real] :
% 0.26/0.48        ( ( X
% 0.26/0.48          = ( produc2125489830e_real @ Y @ Z ) )
% 0.26/0.48       => ( ( produc1176159992e_real @ X )
% 0.26/0.48          = Z ) ) ).
% 0.26/0.48  
% 0.26/0.48  % sndI
% 0.26/0.48  thf(fact_332_sndI,axiom,
% 0.26/0.48      ! [X: produc1020032539e_real,Y: char > real > real,Z: produc104944723e_real] :
% 0.26/0.48        ( ( X
% 0.26/0.48          = ( produc141013715e_real @ Y @ Z ) )
% 0.26/0.48       => ( ( produc1179001601e_real @ X )
% 0.26/0.48          = Z ) ) ).
% 0.26/0.48  
% 0.26/0.48  % sndI
% 0.26/0.48  thf(fact_333_sndI,axiom,
% 0.26/0.48      ! [X: produc104944723e_real,Y: char > real > $o,Z: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( X
% 0.26/0.48          = ( produc2007437005e_real @ Y @ Z ) )
% 0.26/0.48       => ( ( produc504912415e_real @ X )
% 0.26/0.48          = Z ) ) ).
% 0.26/0.48  
% 0.26/0.48  % sndI
% 0.26/0.48  thf(fact_334_fstI,axiom,
% 0.26/0.48      ! [X: produc1993135732e_real,Y: char > real,Z: produc1020032539e_real] :
% 0.26/0.48        ( ( X
% 0.26/0.48          = ( produc2125489830e_real @ Y @ Z ) )
% 0.26/0.48       => ( ( produc1146879930e_real @ X )
% 0.26/0.48          = Y ) ) ).
% 0.26/0.48  
% 0.26/0.48  % fstI
% 0.26/0.48  thf(fact_335_fstI,axiom,
% 0.26/0.48      ! [X: produc1020032539e_real,Y: char > real > real,Z: produc104944723e_real] :
% 0.26/0.48        ( ( X
% 0.26/0.48          = ( produc141013715e_real @ Y @ Z ) )
% 0.26/0.48       => ( ( produc634910399e_real @ X )
% 0.26/0.48          = Y ) ) ).
% 0.26/0.48  
% 0.26/0.48  % fstI
% 0.26/0.48  thf(fact_336_fstI,axiom,
% 0.26/0.48      ! [X: produc104944723e_real,Y: char > real > $o,Z: char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( X
% 0.26/0.48          = ( produc2007437005e_real @ Y @ Z ) )
% 0.26/0.48       => ( ( produc1486464481e_real @ X )
% 0.26/0.48          = Y ) ) ).
% 0.26/0.48  
% 0.26/0.48  % fstI
% 0.26/0.48  thf(fact_337_eq__fst__iff,axiom,
% 0.26/0.48      ! [A2: char > real,P2: produc1993135732e_real] :
% 0.26/0.48        ( ( A2
% 0.26/0.48          = ( produc1146879930e_real @ P2 ) )
% 0.26/0.48        = ( ? [B4: produc1020032539e_real] :
% 0.26/0.48              ( P2
% 0.26/0.48              = ( produc2125489830e_real @ A2 @ B4 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % eq_fst_iff
% 0.26/0.48  thf(fact_338_eq__fst__iff,axiom,
% 0.26/0.48      ! [A2: char > real > real,P2: produc1020032539e_real] :
% 0.26/0.48        ( ( A2
% 0.26/0.48          = ( produc634910399e_real @ P2 ) )
% 0.26/0.48        = ( ? [B4: produc104944723e_real] :
% 0.26/0.48              ( P2
% 0.26/0.48              = ( produc141013715e_real @ A2 @ B4 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % eq_fst_iff
% 0.26/0.48  thf(fact_339_eq__fst__iff,axiom,
% 0.26/0.48      ! [A2: char > real > $o,P2: produc104944723e_real] :
% 0.26/0.48        ( ( A2
% 0.26/0.48          = ( produc1486464481e_real @ P2 ) )
% 0.26/0.48        = ( ? [B4: char > set_variable_real > set_variable_real] :
% 0.26/0.48              ( P2
% 0.26/0.48              = ( produc2007437005e_real @ A2 @ B4 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % eq_fst_iff
% 0.26/0.48  thf(fact_340_subrelI,axiom,
% 0.26/0.48      ! [R2: set_Pr397354154e_real,S2: set_Pr397354154e_real] :
% 0.26/0.48        ( ! [X3: char > real,Y3: produc1020032539e_real] :
% 0.26/0.48            ( ( member1491807627e_real @ ( produc2125489830e_real @ X3 @ Y3 ) @ R2 )
% 0.26/0.48           => ( member1491807627e_real @ ( produc2125489830e_real @ X3 @ Y3 ) @ S2 ) )
% 0.26/0.48       => ( ord_le1631106314e_real @ R2 @ S2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % subrelI
% 0.26/0.48  thf(fact_341_subrelI,axiom,
% 0.26/0.48      ! [R2: set_Pr307567739e_real,S2: set_Pr307567739e_real] :
% 0.26/0.48        ( ! [X3: char > real > real,Y3: produc104944723e_real] :
% 0.26/0.48            ( ( member544802500e_real @ ( produc141013715e_real @ X3 @ Y3 ) @ R2 )
% 0.26/0.48           => ( member544802500e_real @ ( produc141013715e_real @ X3 @ Y3 ) @ S2 ) )
% 0.26/0.48       => ( ord_le780198939e_real @ R2 @ S2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % subrelI
% 0.26/0.48  thf(fact_342_subrelI,axiom,
% 0.26/0.48      ! [R2: set_Pr268868489e_real,S2: set_Pr268868489e_real] :
% 0.26/0.48        ( ! [X3: char > real > $o,Y3: char > set_variable_real > set_variable_real] :
% 0.26/0.48            ( ( member1871517162e_real @ ( produc2007437005e_real @ X3 @ Y3 ) @ R2 )
% 0.26/0.48           => ( member1871517162e_real @ ( produc2007437005e_real @ X3 @ Y3 ) @ S2 ) )
% 0.26/0.48       => ( ord_le2056633321e_real @ R2 @ S2 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % subrelI
% 0.26/0.48  thf(fact_343_mon__mono,axiom,
% 0.26/0.48      ( order_1507925822e_real
% 0.26/0.48      = ( ^ [R3: set_variable_real > set_variable_real] :
% 0.26/0.48          ! [X6: set_variable_real,Y7: set_variable_real] :
% 0.26/0.48            ( ( ord_le1113654598e_real @ X6 @ Y7 )
% 0.26/0.48           => ( ord_le1113654598e_real @ ( R3 @ X6 ) @ ( R3 @ Y7 ) ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % mon_mono
% 0.26/0.48  thf(fact_344_prop__restrict,axiom,
% 0.26/0.48      ! [X: variable > real,Z2: set_variable_real,X7: set_variable_real,P: ( variable > real ) > $o] :
% 0.26/0.48        ( ( member_variable_real @ X @ Z2 )
% 0.26/0.48       => ( ( ord_le1113654598e_real @ Z2
% 0.26/0.48            @ ( collec633296133e_real
% 0.26/0.48              @ ^ [X4: variable > real] :
% 0.26/0.48                  ( ( member_variable_real @ X4 @ X7 )
% 0.26/0.48                  & ( P @ X4 ) ) ) )
% 0.26/0.48         => ( P @ X ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % prop_restrict
% 0.26/0.48  thf(fact_345_Collect__restrict,axiom,
% 0.26/0.48      ! [X7: set_variable_real,P: ( variable > real ) > $o] :
% 0.26/0.48        ( ord_le1113654598e_real
% 0.26/0.48        @ ( collec633296133e_real
% 0.26/0.48          @ ^ [X4: variable > real] :
% 0.26/0.48              ( ( member_variable_real @ X4 @ X7 )
% 0.26/0.48              & ( P @ X4 ) ) )
% 0.26/0.48        @ X7 ) ).
% 0.26/0.48  
% 0.26/0.48  % Collect_restrict
% 0.26/0.48  thf(fact_346_Collect__subset,axiom,
% 0.26/0.48      ! [A5: set_variable_real,P: ( variable > real ) > $o] :
% 0.26/0.48        ( ord_le1113654598e_real
% 0.26/0.48        @ ( collec633296133e_real
% 0.26/0.48          @ ^ [X4: variable > real] :
% 0.26/0.48              ( ( member_variable_real @ X4 @ A5 )
% 0.26/0.48              & ( P @ X4 ) ) )
% 0.26/0.48        @ A5 ) ).
% 0.26/0.48  
% 0.26/0.48  % Collect_subset
% 0.26/0.48  thf(fact_347_Collect__mono,axiom,
% 0.26/0.48      ! [P: ( variable > real ) > $o,Q: ( variable > real ) > $o] :
% 0.26/0.48        ( ! [X3: variable > real] :
% 0.26/0.48            ( ( P @ X3 )
% 0.26/0.48           => ( Q @ X3 ) )
% 0.26/0.48       => ( ord_le1113654598e_real @ ( collec633296133e_real @ P ) @ ( collec633296133e_real @ Q ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % Collect_mono
% 0.26/0.48  thf(fact_348_Collect__mono__iff,axiom,
% 0.26/0.48      ! [P: ( variable > real ) > $o,Q: ( variable > real ) > $o] :
% 0.26/0.48        ( ( ord_le1113654598e_real @ ( collec633296133e_real @ P ) @ ( collec633296133e_real @ Q ) )
% 0.26/0.48        = ( ! [X4: variable > real] :
% 0.26/0.48              ( ( P @ X4 )
% 0.26/0.48             => ( Q @ X4 ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % Collect_mono_iff
% 0.26/0.48  thf(fact_349_subset__Collect__iff,axiom,
% 0.26/0.48      ! [B5: set_variable_real,A5: set_variable_real,P: ( variable > real ) > $o] :
% 0.26/0.48        ( ( ord_le1113654598e_real @ B5 @ A5 )
% 0.26/0.48       => ( ( ord_le1113654598e_real @ B5
% 0.26/0.48            @ ( collec633296133e_real
% 0.26/0.48              @ ^ [X4: variable > real] :
% 0.26/0.48                  ( ( member_variable_real @ X4 @ A5 )
% 0.26/0.48                  & ( P @ X4 ) ) ) )
% 0.26/0.48          = ( ! [X4: variable > real] :
% 0.26/0.48                ( ( member_variable_real @ X4 @ B5 )
% 0.26/0.48               => ( P @ X4 ) ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % subset_Collect_iff
% 0.26/0.48  thf(fact_350_subset__CollectI,axiom,
% 0.26/0.48      ! [B5: set_variable_real,A5: set_variable_real,Q: ( variable > real ) > $o,P: ( variable > real ) > $o] :
% 0.26/0.48        ( ( ord_le1113654598e_real @ B5 @ A5 )
% 0.26/0.48       => ( ! [X3: variable > real] :
% 0.26/0.48              ( ( member_variable_real @ X3 @ B5 )
% 0.26/0.48             => ( ( Q @ X3 )
% 0.26/0.48               => ( P @ X3 ) ) )
% 0.26/0.48         => ( ord_le1113654598e_real
% 0.26/0.48            @ ( collec633296133e_real
% 0.26/0.48              @ ^ [X4: variable > real] :
% 0.26/0.48                  ( ( member_variable_real @ X4 @ B5 )
% 0.26/0.48                  & ( Q @ X4 ) ) )
% 0.26/0.48            @ ( collec633296133e_real
% 0.26/0.48              @ ^ [X4: variable > real] :
% 0.26/0.48                  ( ( member_variable_real @ X4 @ A5 )
% 0.26/0.48                  & ( P @ X4 ) ) ) ) ) ) ).
% 0.26/0.48  
% 0.26/0.48  % subset_CollectI
% 0.26/0.48  thf(fact_351_GrD1,axiom,
% 0.26/0.48      ! [X: char > real,Fx: produc1020032539e_real,A5: set_char_real,F3: ( char > real ) > produc1020032539e_real] :
% 0.26/0.48        ( ( member1491807627e_real @ ( produc2125489830e_real @ X @ Fx ) @ ( bNF_Gr2096011355e_real @ A5 @ F3 ) )
% 0.26/0.48       => ( member_char_real @ X @ A5 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % GrD1
% 0.26/0.48  thf(fact_352_GrD1,axiom,
% 0.26/0.48      ! [X: char > real > real,Fx: produc104944723e_real,A5: set_char_real_real,F3: ( char > real > real ) > produc104944723e_real] :
% 0.26/0.48        ( ( member544802500e_real @ ( produc141013715e_real @ X @ Fx ) @ ( bNF_Gr574714974e_real @ A5 @ F3 ) )
% 0.26/0.48       => ( member312374654l_real @ X @ A5 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % GrD1
% 0.26/0.48  thf(fact_353_GrD1,axiom,
% 0.26/0.48      ! [X: char > real > $o,Fx: char > set_variable_real > set_variable_real,A5: set_char_real_o,F3: ( char > real > $o ) > char > set_variable_real > set_variable_real] :
% 0.26/0.48        ( ( member1871517162e_real @ ( produc2007437005e_real @ X @ Fx ) @ ( bNF_Gr1652860930e_real @ A5 @ F3 ) )
% 0.26/0.48       => ( member_char_real_o @ X @ A5 ) ) ).
% 0.26/0.48  
% 0.26/0.48  % GrD1
% 0.26/0.48  
% 0.26/0.48  % Helper facts (3)
% 0.26/0.48  thf(help_If_3_1_If_001t__Real__Oreal_T,axiom,
% 0.26/0.48      ! [P: $o] :
% 0.26/0.48        ( ( P = $true )
% 0.26/0.48        | ( P = $false ) ) ).
% 0.26/0.48  
% 0.26/0.48  thf(help_If_2_1_If_001t__Real__Oreal_T,axiom,
% 0.26/0.48      ! [X: real,Y: real] :
% 0.26/0.48        ( ( if_real @ $false @ X @ Y )
% 0.26/0.48        = Y ) ).
% 0.26/0.48  
% 0.26/0.48  thf(help_If_1_1_If_001t__Real__Oreal_T,axiom,
% 0.26/0.48      ! [X: real,Y: real] :
% 0.26/0.48        ( ( if_real @ $true @ X @ Y )
% 0.26/0.48        = X ) ).
% 0.26/0.48  
% 0.26/0.48  % Conjectures (1)
% 0.26/0.48  thf(conj_0,conjecture,
% 0.26/0.48      ( ( denotational_Preds
% 0.26/0.48        @ ( denota1150374853interp
% 0.26/0.48          @ ( produc2125489830e_real
% 0.26/0.48            @ ^ [C2: char] : ( if_real @ ( C2 = f ) @ d @ ( denotational_Consts @ i @ C2 ) )
% 0.26/0.48            @ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) )
% 0.26/0.48      = ( denotational_Preds @ i ) ) ).
% 0.26/0.48  
% 0.26/0.48  %------------------------------------------------------------------------------
% 0.26/0.48  ------------------------
% 3.02/1.55  ---- Embedded in THF ---
% 3.02/1.55  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 3.02/1.55  %%% Generated on Tue Feb 24 08:30:25 EST 2026
% 3.02/1.55  %%% using '$$dhol' embedding, version 1.3.0.
% 3.02/1.55  %%% Logic specification used:
% 3.02/1.55  %%% thf(spec, logic, $$dhol).
% 3.02/1.55  
% 3.02/1.55  % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.zmmaJJm1aw/DTF2DTF2570.p
% See solution above
% 3.02/1.55  ------------------------
% 3.11/1.65  ---- Cleaned THF ---
% 3.11/1.66  thf(ty_n_t__Set__Oset_It__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_J_J,type,
% 3.11/1.66      set_Pr605909289e_real: $tType ).
% 3.11/1.66  
% 3.11/1.66  thf(ty_n_t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_J,type,
% 3.11/1.66      produc1014656201e_real: $tType ).
% 3.11/1.66  
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% 3.11/1.66      the_Pr1196831286l_real: ( produc96687023l_real > $o ) > produc96687023l_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      the_Pr1679925410e_real: ( produc1020032539e_real > $o ) > produc1020032539e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J,type,
% 3.11/1.66      the_Pr1930357084real_o: ( produc1606031907real_o > $o ) > produc1606031907real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      the_Pr198758430e_real: ( produc1120170903e_real > $o ) > produc1120170903e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_M_062_It__String__Ochar_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      the_Pr1076580896r_real: ( produc928489369r_real > $o ) > produc928489369r_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_HOL_OThe_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 3.11/1.66      the_Pr543709229e_real: ( produc1993135732e_real > $o ) > produc1993135732e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_If_001t__Real__Oreal,type,
% 3.11/1.66      if_real: $o > real > real > real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      bot_bo721182586e_real: set_variable_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      ord_le1113654598e_real: set_variable_real > set_variable_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      ord_le2056633321e_real: set_Pr268868489e_real > set_Pr268868489e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 3.11/1.66      ord_le780198939e_real: set_Pr307567739e_real > set_Pr307567739e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Orderings_Oord__class_Oless__eq_001t__Set__Oset_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_J,type,
% 3.11/1.66      ord_le1631106314e_real: set_Pr397354154e_real > set_Pr397354154e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Orderings_Oorder__class_Omono_001t__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_001t__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      order_1507925822e_real: ( set_variable_real > set_variable_real ) > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      top_to239690646e_real: set_variable_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      produc1566957527real_o: ( char > real > $o ) > ( char > real > $o ) > produc2070499431real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc2007437005e_real: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      produc686464615l_real: ( char > real > real ) > ( char > real > real ) > produc96687023l_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc141013715e_real: ( char > real > real ) > produc104944723e_real > produc1020032539e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      produc1285468373real_o: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc1606031907real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc525232719e_real: ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > produc1120170903e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      produc700235985r_real: ( char > real ) > ( char > real ) > produc928489369r_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc2125489830e_real: ( char > real ) > produc1020032539e_real > produc1993135732e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      produc1053845203l_real: produc104944723e_real > ( char > real > real ) > produc729247771l_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc1957227327e_real: produc104944723e_real > produc104944723e_real > produc1416364679e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      produc1317530464r_real: produc1020032539e_real > ( char > real ) > produc2139219430r_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc680410711e_real: produc1020032539e_real > produc1020032539e_real > produc199503591e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 3.11/1.66      produc638505729e_real: produc1993135732e_real > produc1993135732e_real > produc1014656201e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      produc214490950real_o: ( char > real > $o ) > ( char > real > $o ) > ( char > real > $o ) > ( char > real > $o ) > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc210225566e_real: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      produc1051282262l_real: ( char > real > real ) > ( char > real > real ) > ( char > real > real ) > ( char > real > real ) > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc619891650e_real: ( char > real > real ) > produc104944723e_real > ( char > real > real ) > produc104944723e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      produc1635740582real_o: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc1689380158e_real: ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      produc885334464r_real: ( char > real ) > ( char > real ) > ( char > real ) > ( char > real ) > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OPair__Rep_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc345845751e_real: ( char > real ) > produc1020032539e_real > ( char > real ) > produc1020032539e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OSigma_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc1853244124e_real: set_char_real_o > ( ( char > real > $o ) > set_ch845833233e_real ) > set_Pr268868489e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OSigma_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc522711812e_real: set_char_real_real > ( ( char > real > real ) > set_Pr268868489e_real ) > set_Pr307567739e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OSigma_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      produc1131275492real_o: set_ch845833233e_real > ( ( char > set_variable_real > set_variable_real ) > set_char_real_o ) > set_Pr366573913real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OSigma_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc34356277e_real: set_char_real > ( ( char > real ) > set_Pr307567739e_real ) > set_Pr397354154e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OSigma_001_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_001_062_It__Syntax__Ovariable_Mt__Real__Oreal_J,type,
% 3.11/1.66      produc979346218e_real: set_variable_real > ( ( variable > real ) > set_variable_real ) > set_Pr1530225953e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      produc1435543300l_real: set_Pr268868489e_real > ( produc104944723e_real > set_char_real_real ) > set_Pr1730352763l_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_OSigma_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      produc1373880559r_real: set_Pr307567739e_real > ( produc1020032539e_real > set_char_real ) > set_Pr821009180r_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_Eo,type,
% 3.11/1.66      produc169502925al_o_o: ( produc2070499431real_o > $o ) > ( char > real > $o ) > ( char > real > $o ) > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_Eo,type,
% 3.11/1.66      produc809977789real_o: ( produc104944723e_real > $o ) > ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_Eo,type,
% 3.11/1.66      produc311008957real_o: ( produc96687023l_real > $o ) > ( char > real > real ) > ( char > real > real ) > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_Eo,type,
% 3.11/1.66      produc753879889real_o: ( produc1020032539e_real > $o ) > ( char > real > real ) > produc104944723e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_Eo,type,
% 3.11/1.66      produc647541685al_o_o: ( produc1606031907real_o > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_Eo,type,
% 3.11/1.66      produc1935758037real_o: ( produc1120170903e_real > $o ) > ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_Eo,type,
% 3.11/1.66      produc1735668179real_o: ( produc928489369r_real > $o ) > ( char > real ) > ( char > real ) > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Ocurry_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_Eo,type,
% 3.11/1.66      produc998184740real_o: ( produc1993135732e_real > $o ) > ( char > real ) > produc1020032539e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_Eo,type,
% 3.11/1.66      produc1070892532real_o: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc584529143e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc104944723e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_Eo,type,
% 3.11/1.66      produc677394266real_o: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc1138486237e_real: ( ( char > real > real ) > produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1020032539e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Ointernal__case__prod_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc1941565183e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc104944723e_real ) > produc1606031907real_o > produc104944723e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc355430254e_real: ( ( char > real > $o ) > char > real > $o ) > ( ( char > set_variable_real > set_variable_real ) > char > set_variable_real > set_variable_real ) > produc104944723e_real > produc104944723e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc753666538e_real: ( ( char > real > $o ) > char > real > real ) > ( ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc1020032539e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc1251731407e_real: ( ( char > real > $o ) > char > real ) > ( ( char > set_variable_real > set_variable_real ) > produc1020032539e_real ) > produc104944723e_real > produc1993135732e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc683016410e_real: ( ( char > real > real ) > char > real > $o ) > ( produc104944723e_real > char > set_variable_real > set_variable_real ) > produc1020032539e_real > produc104944723e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc2131385966e_real: ( ( char > real > real ) > char > real > real ) > ( produc104944723e_real > produc104944723e_real ) > produc1020032539e_real > produc1020032539e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc348783435e_real: ( ( char > real > real ) > char > real ) > ( produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1993135732e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc1797673857e_real: ( ( char > real ) > char > real > $o ) > ( produc1020032539e_real > char > set_variable_real > set_variable_real ) > produc1993135732e_real > produc104944723e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc202772275e_real: ( ( char > real ) > char > real > real ) > ( produc1020032539e_real > produc104944723e_real ) > produc1993135732e_real > produc1020032539e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Omap__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc552964208e_real: ( ( char > real ) > char > real ) > ( produc1020032539e_real > produc1020032539e_real ) > produc1993135732e_real > produc1993135732e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      produc2033648741real_o: ( ( char > real > $o ) > ( char > real > $o ) > $o ) > produc2070499431real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc540070591e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      produc606131701l_real: ( ( char > real > real ) > ( char > real > real ) > $o ) > produc96687023l_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc877953633e_real: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      produc1965585607real_o: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ) > produc1606031907real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc1545903581e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc1120170903e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      produc1022533727r_real: ( ( char > real ) > ( char > real ) > $o ) > produc928489369r_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_OAbs__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc1448824728e_real: ( ( char > real ) > produc1020032539e_real > $o ) > produc1993135732e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_Eo,type,
% 3.11/1.66      produc131289260al_o_o: ( ( char > real > $o ) > ( char > real > $o ) > $o ) > produc2070499431real_o > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_Eo,type,
% 3.11/1.66      produc1629511198real_o: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc104944723e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc1906464077e_real: ( ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ) > produc104944723e_real > produc104944723e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_Eo,type,
% 3.11/1.66      produc1095814172real_o: ( ( char > real > real ) > ( char > real > real ) > $o ) > produc96687023l_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_Eo,type,
% 3.11/1.66      produc679978160real_o: ( ( char > real > real ) > produc104944723e_real > $o ) > produc1020032539e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc1202665267e_real: ( ( char > real > real ) > produc104944723e_real > produc1020032539e_real ) > produc1020032539e_real > produc1020032539e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_Eo,type,
% 3.11/1.66      produc1467075094al_o_o: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o ) > produc1606031907real_o > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc1116016469e_real: ( ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc104944723e_real ) > produc1606031907real_o > produc104944723e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_Eo,type,
% 3.11/1.66      produc143994420real_o: ( ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o ) > produc1120170903e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_Eo,type,
% 3.11/1.66      produc1655853874real_o: ( ( char > real ) > ( char > real ) > $o ) > produc928489369r_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_Eo,type,
% 3.11/1.66      produc569598981real_o: ( ( char > real ) > produc1020032539e_real > $o ) > produc1993135732e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 3.11/1.66      produc315720647e_real: ( ( char > real ) > produc1020032539e_real > produc1993135732e_real ) > produc1993135732e_real > produc1993135732e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_001_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_001_Eo,type,
% 3.11/1.66      produc1299805450real_o: ( ( variable > real ) > ( variable > real ) > $o ) > produc1863992257e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_Eo,type,
% 3.11/1.66      produc421130416real_o: ( produc104944723e_real > ( char > real > real ) > $o ) > produc729247771l_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc991789875e_real: ( produc104944723e_real > ( char > real > real ) > produc1020032539e_real ) > produc729247771l_real > produc1020032539e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ocase__prod_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 3.11/1.66      produc864726913e_real: ( produc1020032539e_real > ( char > real ) > produc1993135732e_real ) > produc2139219430r_real > produc1993135732e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ofst_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc1486464481e_real: produc104944723e_real > char > real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ofst_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc634910399e_real: produc1020032539e_real > char > real > real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ofst_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      produc764495849real_o: produc1606031907real_o > char > set_variable_real > set_variable_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ofst_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc1146879930e_real: produc1993135732e_real > char > real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ofst_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      produc1547741887l_real: produc729247771l_real > produc104944723e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Ofst_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      produc338920564r_real: produc2139219430r_real > produc1020032539e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Osnd_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc504912415e_real: produc104944723e_real > char > set_variable_real > set_variable_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Osnd_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc1179001601e_real: produc1020032539e_real > produc104944723e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Osnd_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      produc1930427431real_o: produc1606031907real_o > char > real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Osnd_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc1176159992e_real: produc1993135732e_real > produc1020032539e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Osnd_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      produc2091833089l_real: produc729247771l_real > char > real > real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Osnd_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      produc368200626r_real: produc2139219430r_real > char > real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      produc443915639real_o: produc2070499431real_o > produc2070499431real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc914893101e_real: produc104944723e_real > produc1606031907real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      produc995978247l_real: produc96687023l_real > produc96687023l_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      produc865271923e_real: produc1020032539e_real > produc729247771l_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      produc192924469real_o: produc1606031907real_o > produc104944723e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      produc1656125423e_real: produc1120170903e_real > produc1120170903e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      produc1564675697r_real: produc928489369r_real > produc928489369r_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Oswap_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      produc1726279942e_real: produc1993135732e_real > produc2139219430r_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Oswap_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      produc1778103411l_real: produc729247771l_real > produc1020032539e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Product__Type_Oprod_Oswap_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      produc918320576r_real: produc2139219430r_real > produc1993135732e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      inv_im1954866834real_o: set_Pr1053253703real_o > ( ( char > real > $o ) > char > real > $o ) > set_Pr1053253703real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      inv_im576609886l_real: set_Pr1053253703real_o > ( ( char > real > real ) > char > real > $o ) > set_Pr1919093775l_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      inv_im255337747r_real: set_Pr1053253703real_o > ( ( char > real ) > char > real > $o ) > set_Pr42335993r_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      inv_im1748900174real_o: set_Pr1919093775l_real > ( ( char > real > $o ) > char > real > real ) > set_Pr1053253703real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      inv_im2119069858l_real: set_Pr1919093775l_real > ( ( char > real > real ) > char > real > real ) > set_Pr1919093775l_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      inv_im854642519r_real: set_Pr1919093775l_real > ( ( char > real ) > char > real > real ) > set_Pr42335993r_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      inv_im710342731r_real: set_Pr1588228599e_real > ( ( char > real ) > char > set_variable_real > set_variable_real ) > set_Pr42335993r_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      inv_im331529689real_o: set_Pr42335993r_real > ( ( char > real > $o ) > char > real ) > set_Pr1053253703real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      inv_im96827991l_real: set_Pr42335993r_real > ( ( char > real > real ) > char > real ) > set_Pr1919093775l_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Relation_Oinv__image_001_062_It__String__Ochar_Mt__Real__Oreal_J_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      inv_im817616652r_real: set_Pr42335993r_real > ( ( char > real ) > char > real ) > set_Pr42335993r_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_OCollect_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      collect_char_real_o: ( ( char > real > $o ) > $o ) > set_char_real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_OCollect_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      collec1429138108l_real: ( ( char > real > real ) > $o ) > set_char_real_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_OCollect_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      collec425771440e_real: ( ( char > set_variable_real > set_variable_real ) > $o ) > set_ch845833233e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_OCollect_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      collect_char_real: ( ( char > real ) > $o ) > set_char_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_OCollect_001_062_It__Syntax__Ovariable_Mt__Real__Oreal_J,type,
% 3.11/1.66      collec633296133e_real: ( ( variable > real ) > $o ) > set_variable_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_OCollect_001t__Product____Type__Oprod_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_M_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      collec1042577836e_real: ( produc1863992257e_real > $o ) > set_Pr1530225953e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_001_062_It__Syntax__Ovariable_Mt__Real__Oreal_J,type,
% 3.11/1.66      image_1599134823e_real: ( ( variable > real ) > variable > real ) > set_variable_real > set_variable_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J,type,
% 3.11/1.66      image_448624581real_o: ( produc2070499431real_o > produc2070499431real_o ) > set_Pr1053253703real_o > set_Pr1053253703real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      image_670686893e_real: ( produc104944723e_real > produc104944723e_real ) > set_Pr268868489e_real > set_Pr268868489e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      image_1739334977e_real: ( produc104944723e_real > produc1020032539e_real ) > set_Pr268868489e_real > set_Pr307567739e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J,type,
% 3.11/1.66      image_24290429real_o: ( produc104944723e_real > produc1606031907real_o ) > set_Pr268868489e_real > set_Pr366573913real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 3.11/1.66      image_300296654e_real: ( produc104944723e_real > produc1993135732e_real ) > set_Pr268868489e_real > set_Pr397354154e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_J,type,
% 3.11/1.66      image_1347499973l_real: ( produc96687023l_real > produc96687023l_real ) > set_Pr1919093775l_real > set_Pr1919093775l_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      image_450993193e_real: ( produc1020032539e_real > produc104944723e_real ) > set_Pr307567739e_real > set_Pr268868489e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      image_1823533253e_real: ( produc1020032539e_real > produc1020032539e_real ) > set_Pr307567739e_real > set_Pr307567739e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 3.11/1.66      image_1698073930e_real: ( produc1020032539e_real > produc1993135732e_real ) > set_Pr307567739e_real > set_Pr397354154e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_J,type,
% 3.11/1.66      image_1532748485l_real: ( produc1020032539e_real > produc729247771l_real ) > set_Pr307567739e_real > set_Pr1730352763l_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      image_2028344445e_real: ( produc1606031907real_o > produc104944723e_real ) > set_Pr366573913real_o > set_Pr268868489e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      image_1495813573e_real: ( produc1120170903e_real > produc1120170903e_real ) > set_Pr1588228599e_real > set_Pr1588228599e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_M_062_It__String__Ochar_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_M_062_It__String__Ochar_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      image_1523756869r_real: ( produc928489369r_real > produc928489369r_real ) > set_Pr42335993r_real > set_Pr42335993r_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      image_426244814e_real: ( produc1993135732e_real > produc104944723e_real ) > set_Pr397354154e_real > set_Pr268868489e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      image_479987936e_real: ( produc1993135732e_real > produc1020032539e_real ) > set_Pr397354154e_real > set_Pr307567739e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 3.11/1.66      image_866442351e_real: ( produc1993135732e_real > produc1993135732e_real ) > set_Pr397354154e_real > set_Pr397354154e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_M_062_It__String__Ochar_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      image_1012526049r_real: ( produc1993135732e_real > produc2139219430r_real ) > set_Pr397354154e_real > set_Pr821009180r_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      image_711552709e_real: ( produc729247771l_real > produc1020032539e_real ) > set_Pr1730352763l_real > set_Pr307567739e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Set_Oimage_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_M_062_It__String__Ochar_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 3.11/1.66      image_152725217e_real: ( produc2139219430r_real > produc1993135732e_real ) > set_Pr821009180r_real > set_Pr397354154e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_USubst__Mirabelle__vidvnmlwwz_Orepc,type,
% 3.11/1.66      uSubst1505767257e_repc: denotational_interp > char > real > denotational_interp ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Wellfounded_Olex__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      lex_pr2056840373e_real: set_Pr1053253703real_o > set_Pr1588228599e_real > set_Pr521705191e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Wellfounded_Olex__prod_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      lex_pr592421611e_real: set_Pr1919093775l_real > set_Pr521705191e_real > set_Pr1517071815e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Wellfounded_Olex__prod_001_062_It__String__Ochar_Mt__Real__Oreal_J_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      lex_pr1793499278e_real: set_Pr42335993r_real > set_Pr1517071815e_real > set_Pr605909289e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_Wfrec_Osame__fst_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_001_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J,type,
% 3.11/1.66      same_f1185518776e_real: ( ( char > real > $o ) > $o ) > ( ( char > real > $o ) > set_Pr1588228599e_real ) > set_Pr521705191e_real ).
% 3.11/1.66  
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% 3.11/1.66      same_f1243548200e_real: ( ( char > real > real ) > $o ) > ( ( char > real > real ) > set_Pr521705191e_real ) > set_Pr1517071815e_real ).
% 3.11/1.66  
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% 3.11/1.66      same_f764716049e_real: ( ( char > real ) > $o ) > ( ( char > real ) > set_Pr1517071815e_real ) > set_Pr605909289e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J,type,
% 3.11/1.66      member_char_real_o: ( char > real > $o ) > set_char_real_o > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      member312374654l_real: ( char > real > real ) > set_char_real_real > $o ).
% 3.11/1.66  
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% 3.11/1.66      member2042895986e_real: ( char > set_variable_real > set_variable_real ) > set_ch845833233e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001_062_It__String__Ochar_Mt__Real__Oreal_J,type,
% 3.11/1.66      member_char_real: ( char > real ) > set_char_real > $o ).
% 3.11/1.66  
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% 3.11/1.66      member_variable_real: ( variable > real ) > set_variable_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J,type,
% 3.11/1.66      member1795186320real_o: produc2070499431real_o > set_Pr1053253703real_o > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      member1871517162e_real: produc104944723e_real > set_Pr268868489e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_J,type,
% 3.11/1.66      member1801875544l_real: produc96687023l_real > set_Pr1919093775l_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      member544802500e_real: produc1020032539e_real > set_Pr307567739e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_J,type,
% 3.11/1.66      member1225120698real_o: produc1606031907real_o > set_Pr366573913real_o > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J,type,
% 3.11/1.66      member625963584e_real: produc1120170903e_real > set_Pr1588228599e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_M_062_It__String__Ochar_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      member1086859330r_real: produc928489369r_real > set_Pr42335993r_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 3.11/1.66      member1491807627e_real: produc1993135732e_real > set_Pr397354154e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_M_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      member561592938e_real: produc1863992257e_real > set_Pr1530225953e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_M_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_J,type,
% 3.11/1.66      member254017732l_real: produc729247771l_real > set_Pr1730352763l_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J,type,
% 3.11/1.66      member2016544560e_real: produc1416364679e_real > set_Pr521705191e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_M_062_It__String__Ochar_Mt__Real__Oreal_J_J,type,
% 3.11/1.66      member1637891325r_real: produc2139219430r_real > set_Pr821009180r_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J,type,
% 3.11/1.66      member1778419728e_real: produc199503591e_real > set_Pr1517071815e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_c_member_001t__Product____Type__Oprod_It__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_Mt__Real__Oreal_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_Mt__Real__Oreal_J_J_Mt__Product____Type__Oprod_I_062_It__String__Ochar_M_062_It__Real__Oreal_M_Eo_J_J_M_062_It__String__Ochar_M_062_It__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_Mt__Set__Oset_I_062_It__Syntax__Ovariable_Mt__Real__Oreal_J_J_J_J_J_J_J_J,type,
% 3.11/1.66      member1966130802e_real: produc1014656201e_real > set_Pr605909289e_real > $o ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_v_I,type,
% 3.11/1.66      i: denotational_interp ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_v_d,type,
% 3.11/1.66      d: real ).
% 3.11/1.66  
% 3.11/1.66  thf(sy_v_f,type,
% 3.11/1.66      f: char ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_0_Preds__mkinterp,axiom,
% 3.11/1.66      ! [C: char > real,F: char > real > real,P: char > real > $o,G: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ C @ ( produc141013715e_real @ F @ ( produc2007437005e_real @ P @ G ) ) ) ) )
% 3.11/1.66        = P ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_1_Funcs__mkinterp,axiom,
% 3.11/1.66      ! [C: char > real,F: char > real > real,P: char > real > $o,G: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( denotational_Funcs @ ( denota1150374853interp @ ( produc2125489830e_real @ C @ ( produc141013715e_real @ F @ ( produc2007437005e_real @ P @ G ) ) ) ) )
% 3.11/1.66        = F ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_2_Consts__mkinterp,axiom,
% 3.11/1.66      ! [C: char > real,F: char > real > real,P: char > real > $o,G: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( denotational_Consts @ ( denota1150374853interp @ ( produc2125489830e_real @ C @ ( produc141013715e_real @ F @ ( produc2007437005e_real @ P @ G ) ) ) ) )
% 3.11/1.66        = C ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_3_mkinterp__eq,axiom,
% 3.11/1.66      ! [I: denotational_interp,J: denotational_interp] :
% 3.11/1.66        ( ( ( ( denotational_Consts @ I )
% 3.11/1.66            = ( denotational_Consts @ J ) )
% 3.11/1.66          & ( ( denotational_Funcs @ I )
% 3.11/1.66            = ( denotational_Funcs @ J ) )
% 3.11/1.66          & ( ( denotational_Preds @ I )
% 3.11/1.66            = ( denotational_Preds @ J ) )
% 3.11/1.66          & ( ( denotational_Games @ I )
% 3.11/1.66            = ( denotational_Games @ J ) ) )
% 3.11/1.66        = ( I = J ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_4_repc__def,axiom,
% 3.11/1.66      ( uSubst1505767257e_repc
% 3.11/1.66      = ( ^ [I2: denotational_interp,F2: char,D: real] :
% 3.11/1.66            ( denota1150374853interp
% 3.11/1.66            @ ( produc2125489830e_real
% 3.11/1.66              @ ^ [C2: char] : ( if_real @ ( C2 = F2 ) @ D @ ( denotational_Consts @ I2 @ C2 ) )
% 3.11/1.66              @ ( produc141013715e_real @ ( denotational_Funcs @ I2 ) @ ( produc2007437005e_real @ ( denotational_Preds @ I2 ) @ ( denotational_Games @ I2 ) ) ) ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_5_prod__cases4,axiom,
% 3.11/1.66      ! [Y: produc1993135732e_real] :
% 3.11/1.66        ~ ! [A: char > real,B: char > real > real,C3: char > real > $o,D2: char > set_variable_real > set_variable_real] :
% 3.11/1.66            ( Y
% 3.11/1.66           != ( produc2125489830e_real @ A @ ( produc141013715e_real @ B @ ( produc2007437005e_real @ C3 @ D2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_6_prod__induct4,axiom,
% 3.11/1.66      ! [P: produc1993135732e_real > $o,X: produc1993135732e_real] :
% 3.11/1.66        ( ! [A: char > real,B: char > real > real,C3: char > real > $o,D2: char > set_variable_real > set_variable_real] : ( P @ ( produc2125489830e_real @ A @ ( produc141013715e_real @ B @ ( produc2007437005e_real @ C3 @ D2 ) ) ) )
% 3.11/1.66       => ( P @ X ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_7_old_Oprod_Oinject,axiom,
% 3.11/1.66      ! [A2: char > real,B2: char > real,A3: char > real,B3: char > real] :
% 3.11/1.66        ( ( ( produc700235985r_real @ A2 @ B2 )
% 3.11/1.66          = ( produc700235985r_real @ A3 @ B3 ) )
% 3.11/1.66        = ( ( A2 = A3 )
% 3.11/1.66          & ( B2 = B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_8_old_Oprod_Oinject,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: char > real > real,A3: char > real > real,B3: char > real > real] :
% 3.11/1.66        ( ( ( produc686464615l_real @ A2 @ B2 )
% 3.11/1.66          = ( produc686464615l_real @ A3 @ B3 ) )
% 3.11/1.66        = ( ( A2 = A3 )
% 3.11/1.66          & ( B2 = B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_9_old_Oprod_Oinject,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > real > $o,A3: char > real > $o,B3: char > real > $o] :
% 3.11/1.66        ( ( ( produc1566957527real_o @ A2 @ B2 )
% 3.11/1.66          = ( produc1566957527real_o @ A3 @ B3 ) )
% 3.11/1.66        = ( ( A2 = A3 )
% 3.11/1.66          & ( B2 = B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_10_old_Oprod_Oinject,axiom,
% 3.11/1.66      ! [A2: char > set_variable_real > set_variable_real,B2: char > real > $o,A3: char > set_variable_real > set_variable_real,B3: char > real > $o] :
% 3.11/1.66        ( ( ( produc1285468373real_o @ A2 @ B2 )
% 3.11/1.66          = ( produc1285468373real_o @ A3 @ B3 ) )
% 3.11/1.66        = ( ( A2 = A3 )
% 3.11/1.66          & ( B2 = B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_11_old_Oprod_Oinject,axiom,
% 3.11/1.66      ! [A2: char > set_variable_real > set_variable_real,B2: char > set_variable_real > set_variable_real,A3: char > set_variable_real > set_variable_real,B3: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( ( produc525232719e_real @ A2 @ B2 )
% 3.11/1.66          = ( produc525232719e_real @ A3 @ B3 ) )
% 3.11/1.66        = ( ( A2 = A3 )
% 3.11/1.66          & ( B2 = B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_12_old_Oprod_Oinject,axiom,
% 3.11/1.66      ! [A2: char > real,B2: produc1020032539e_real,A3: char > real,B3: produc1020032539e_real] :
% 3.11/1.66        ( ( ( produc2125489830e_real @ A2 @ B2 )
% 3.11/1.66          = ( produc2125489830e_real @ A3 @ B3 ) )
% 3.11/1.66        = ( ( A2 = A3 )
% 3.11/1.66          & ( B2 = B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_13_old_Oprod_Oinject,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: produc104944723e_real,A3: char > real > real,B3: produc104944723e_real] :
% 3.11/1.66        ( ( ( produc141013715e_real @ A2 @ B2 )
% 3.11/1.66          = ( produc141013715e_real @ A3 @ B3 ) )
% 3.11/1.66        = ( ( A2 = A3 )
% 3.11/1.66          & ( B2 = B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_14_old_Oprod_Oinject,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A3: char > real > $o,B3: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( ( produc2007437005e_real @ A2 @ B2 )
% 3.11/1.66          = ( produc2007437005e_real @ A3 @ B3 ) )
% 3.11/1.66        = ( ( A2 = A3 )
% 3.11/1.66          & ( B2 = B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_15_prod_Oinject,axiom,
% 3.11/1.66      ! [X1: char > real,X2: char > real,Y1: char > real,Y2: char > real] :
% 3.11/1.66        ( ( ( produc700235985r_real @ X1 @ X2 )
% 3.11/1.66          = ( produc700235985r_real @ Y1 @ Y2 ) )
% 3.11/1.66        = ( ( X1 = Y1 )
% 3.11/1.66          & ( X2 = Y2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_16_prod_Oinject,axiom,
% 3.11/1.66      ! [X1: char > real > real,X2: char > real > real,Y1: char > real > real,Y2: char > real > real] :
% 3.11/1.66        ( ( ( produc686464615l_real @ X1 @ X2 )
% 3.11/1.66          = ( produc686464615l_real @ Y1 @ Y2 ) )
% 3.11/1.66        = ( ( X1 = Y1 )
% 3.11/1.66          & ( X2 = Y2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_17_prod_Oinject,axiom,
% 3.11/1.66      ! [X1: char > real > $o,X2: char > real > $o,Y1: char > real > $o,Y2: char > real > $o] :
% 3.11/1.66        ( ( ( produc1566957527real_o @ X1 @ X2 )
% 3.11/1.66          = ( produc1566957527real_o @ Y1 @ Y2 ) )
% 3.11/1.66        = ( ( X1 = Y1 )
% 3.11/1.66          & ( X2 = Y2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_18_prod_Oinject,axiom,
% 3.11/1.66      ! [X1: char > set_variable_real > set_variable_real,X2: char > real > $o,Y1: char > set_variable_real > set_variable_real,Y2: char > real > $o] :
% 3.11/1.66        ( ( ( produc1285468373real_o @ X1 @ X2 )
% 3.11/1.66          = ( produc1285468373real_o @ Y1 @ Y2 ) )
% 3.11/1.66        = ( ( X1 = Y1 )
% 3.11/1.66          & ( X2 = Y2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_19_prod_Oinject,axiom,
% 3.11/1.66      ! [X1: char > set_variable_real > set_variable_real,X2: char > set_variable_real > set_variable_real,Y1: char > set_variable_real > set_variable_real,Y2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( ( produc525232719e_real @ X1 @ X2 )
% 3.11/1.66          = ( produc525232719e_real @ Y1 @ Y2 ) )
% 3.11/1.66        = ( ( X1 = Y1 )
% 3.11/1.66          & ( X2 = Y2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_20_prod_Oinject,axiom,
% 3.11/1.66      ! [X1: char > real,X2: produc1020032539e_real,Y1: char > real,Y2: produc1020032539e_real] :
% 3.11/1.66        ( ( ( produc2125489830e_real @ X1 @ X2 )
% 3.11/1.66          = ( produc2125489830e_real @ Y1 @ Y2 ) )
% 3.11/1.66        = ( ( X1 = Y1 )
% 3.11/1.66          & ( X2 = Y2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_21_prod_Oinject,axiom,
% 3.11/1.66      ! [X1: char > real > real,X2: produc104944723e_real,Y1: char > real > real,Y2: produc104944723e_real] :
% 3.11/1.66        ( ( ( produc141013715e_real @ X1 @ X2 )
% 3.11/1.66          = ( produc141013715e_real @ Y1 @ Y2 ) )
% 3.11/1.66        = ( ( X1 = Y1 )
% 3.11/1.66          & ( X2 = Y2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_22_prod_Oinject,axiom,
% 3.11/1.66      ! [X1: char > real > $o,X2: char > set_variable_real > set_variable_real,Y1: char > real > $o,Y2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( ( produc2007437005e_real @ X1 @ X2 )
% 3.11/1.66          = ( produc2007437005e_real @ Y1 @ Y2 ) )
% 3.11/1.66        = ( ( X1 = Y1 )
% 3.11/1.66          & ( X2 = Y2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_23_repc__consts,axiom,
% 3.11/1.66      ! [C4: char,F3: char,I: denotational_interp,D3: real] :
% 3.11/1.66        ( ( ( C4 = F3 )
% 3.11/1.66         => ( ( denotational_Consts @ ( uSubst1505767257e_repc @ I @ F3 @ D3 ) @ C4 )
% 3.11/1.66            = D3 ) )
% 3.11/1.66        & ( ( C4 != F3 )
% 3.11/1.66         => ( ( denotational_Consts @ ( uSubst1505767257e_repc @ I @ F3 @ D3 ) @ C4 )
% 3.11/1.66            = ( denotational_Consts @ I @ C4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_24_repc__funcs,axiom,
% 3.11/1.66      ! [I: denotational_interp,F3: char,D3: real] :
% 3.11/1.66        ( ( denotational_Funcs @ ( uSubst1505767257e_repc @ I @ F3 @ D3 ) )
% 3.11/1.66        = ( denotational_Funcs @ I ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_25_old_Oprod_Oinducts,axiom,
% 3.11/1.66      ! [P: produc928489369r_real > $o,Prod: produc928489369r_real] :
% 3.11/1.66        ( ! [A: char > real,B: char > real] : ( P @ ( produc700235985r_real @ A @ B ) )
% 3.11/1.66       => ( P @ Prod ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_26_old_Oprod_Oinducts,axiom,
% 3.11/1.66      ! [P: produc96687023l_real > $o,Prod: produc96687023l_real] :
% 3.11/1.66        ( ! [A: char > real > real,B: char > real > real] : ( P @ ( produc686464615l_real @ A @ B ) )
% 3.11/1.66       => ( P @ Prod ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_27_old_Oprod_Oinducts,axiom,
% 3.11/1.66      ! [P: produc2070499431real_o > $o,Prod: produc2070499431real_o] :
% 3.11/1.66        ( ! [A: char > real > $o,B: char > real > $o] : ( P @ ( produc1566957527real_o @ A @ B ) )
% 3.11/1.66       => ( P @ Prod ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_28_old_Oprod_Oinducts,axiom,
% 3.11/1.66      ! [P: produc1606031907real_o > $o,Prod: produc1606031907real_o] :
% 3.11/1.66        ( ! [A: char > set_variable_real > set_variable_real,B: char > real > $o] : ( P @ ( produc1285468373real_o @ A @ B ) )
% 3.11/1.66       => ( P @ Prod ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_29_old_Oprod_Oinducts,axiom,
% 3.11/1.66      ! [P: produc1120170903e_real > $o,Prod: produc1120170903e_real] :
% 3.11/1.66        ( ! [A: char > set_variable_real > set_variable_real,B: char > set_variable_real > set_variable_real] : ( P @ ( produc525232719e_real @ A @ B ) )
% 3.11/1.66       => ( P @ Prod ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_30_old_Oprod_Oinducts,axiom,
% 3.11/1.66      ! [P: produc1993135732e_real > $o,Prod: produc1993135732e_real] :
% 3.11/1.66        ( ! [A: char > real,B: produc1020032539e_real] : ( P @ ( produc2125489830e_real @ A @ B ) )
% 3.11/1.66       => ( P @ Prod ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_31_old_Oprod_Oinducts,axiom,
% 3.11/1.66      ! [P: produc1020032539e_real > $o,Prod: produc1020032539e_real] :
% 3.11/1.66        ( ! [A: char > real > real,B: produc104944723e_real] : ( P @ ( produc141013715e_real @ A @ B ) )
% 3.11/1.66       => ( P @ Prod ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_32_old_Oprod_Oinducts,axiom,
% 3.11/1.66      ! [P: produc104944723e_real > $o,Prod: produc104944723e_real] :
% 3.11/1.66        ( ! [A: char > real > $o,B: char > set_variable_real > set_variable_real] : ( P @ ( produc2007437005e_real @ A @ B ) )
% 3.11/1.66       => ( P @ Prod ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_33_old_Oprod_Oexhaust,axiom,
% 3.11/1.66      ! [Y: produc928489369r_real] :
% 3.11/1.66        ~ ! [A: char > real,B: char > real] :
% 3.11/1.66            ( Y
% 3.11/1.66           != ( produc700235985r_real @ A @ B ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_34_old_Oprod_Oexhaust,axiom,
% 3.11/1.66      ! [Y: produc96687023l_real] :
% 3.11/1.66        ~ ! [A: char > real > real,B: char > real > real] :
% 3.11/1.66            ( Y
% 3.11/1.66           != ( produc686464615l_real @ A @ B ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_35_old_Oprod_Oexhaust,axiom,
% 3.11/1.66      ! [Y: produc2070499431real_o] :
% 3.11/1.66        ~ ! [A: char > real > $o,B: char > real > $o] :
% 3.11/1.66            ( Y
% 3.11/1.66           != ( produc1566957527real_o @ A @ B ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_36_old_Oprod_Oexhaust,axiom,
% 3.11/1.66      ! [Y: produc1606031907real_o] :
% 3.11/1.66        ~ ! [A: char > set_variable_real > set_variable_real,B: char > real > $o] :
% 3.11/1.66            ( Y
% 3.11/1.66           != ( produc1285468373real_o @ A @ B ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_37_old_Oprod_Oexhaust,axiom,
% 3.11/1.66      ! [Y: produc1120170903e_real] :
% 3.11/1.66        ~ ! [A: char > set_variable_real > set_variable_real,B: char > set_variable_real > set_variable_real] :
% 3.11/1.66            ( Y
% 3.11/1.66           != ( produc525232719e_real @ A @ B ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_38_old_Oprod_Oexhaust,axiom,
% 3.11/1.66      ! [Y: produc1993135732e_real] :
% 3.11/1.66        ~ ! [A: char > real,B: produc1020032539e_real] :
% 3.11/1.66            ( Y
% 3.11/1.66           != ( produc2125489830e_real @ A @ B ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_39_old_Oprod_Oexhaust,axiom,
% 3.11/1.66      ! [Y: produc1020032539e_real] :
% 3.11/1.66        ~ ! [A: char > real > real,B: produc104944723e_real] :
% 3.11/1.66            ( Y
% 3.11/1.66           != ( produc141013715e_real @ A @ B ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_40_old_Oprod_Oexhaust,axiom,
% 3.11/1.66      ! [Y: produc104944723e_real] :
% 3.11/1.66        ~ ! [A: char > real > $o,B: char > set_variable_real > set_variable_real] :
% 3.11/1.66            ( Y
% 3.11/1.66           != ( produc2007437005e_real @ A @ B ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_41_Pair__inject,axiom,
% 3.11/1.66      ! [A2: char > real,B2: char > real,A3: char > real,B3: char > real] :
% 3.11/1.66        ( ( ( produc700235985r_real @ A2 @ B2 )
% 3.11/1.66          = ( produc700235985r_real @ A3 @ B3 ) )
% 3.11/1.66       => ~ ( ( A2 = A3 )
% 3.11/1.66           => ( B2 != B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_42_Pair__inject,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: char > real > real,A3: char > real > real,B3: char > real > real] :
% 3.11/1.66        ( ( ( produc686464615l_real @ A2 @ B2 )
% 3.11/1.66          = ( produc686464615l_real @ A3 @ B3 ) )
% 3.11/1.66       => ~ ( ( A2 = A3 )
% 3.11/1.66           => ( B2 != B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_43_Pair__inject,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > real > $o,A3: char > real > $o,B3: char > real > $o] :
% 3.11/1.66        ( ( ( produc1566957527real_o @ A2 @ B2 )
% 3.11/1.66          = ( produc1566957527real_o @ A3 @ B3 ) )
% 3.11/1.66       => ~ ( ( A2 = A3 )
% 3.11/1.66           => ( B2 != B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_44_Pair__inject,axiom,
% 3.11/1.66      ! [A2: char > set_variable_real > set_variable_real,B2: char > real > $o,A3: char > set_variable_real > set_variable_real,B3: char > real > $o] :
% 3.11/1.66        ( ( ( produc1285468373real_o @ A2 @ B2 )
% 3.11/1.66          = ( produc1285468373real_o @ A3 @ B3 ) )
% 3.11/1.66       => ~ ( ( A2 = A3 )
% 3.11/1.66           => ( B2 != B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_45_Pair__inject,axiom,
% 3.11/1.66      ! [A2: char > set_variable_real > set_variable_real,B2: char > set_variable_real > set_variable_real,A3: char > set_variable_real > set_variable_real,B3: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( ( produc525232719e_real @ A2 @ B2 )
% 3.11/1.66          = ( produc525232719e_real @ A3 @ B3 ) )
% 3.11/1.66       => ~ ( ( A2 = A3 )
% 3.11/1.66           => ( B2 != B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_46_Pair__inject,axiom,
% 3.11/1.66      ! [A2: char > real,B2: produc1020032539e_real,A3: char > real,B3: produc1020032539e_real] :
% 3.11/1.66        ( ( ( produc2125489830e_real @ A2 @ B2 )
% 3.11/1.66          = ( produc2125489830e_real @ A3 @ B3 ) )
% 3.11/1.66       => ~ ( ( A2 = A3 )
% 3.11/1.66           => ( B2 != B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_47_Pair__inject,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: produc104944723e_real,A3: char > real > real,B3: produc104944723e_real] :
% 3.11/1.66        ( ( ( produc141013715e_real @ A2 @ B2 )
% 3.11/1.66          = ( produc141013715e_real @ A3 @ B3 ) )
% 3.11/1.66       => ~ ( ( A2 = A3 )
% 3.11/1.66           => ( B2 != B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_48_Pair__inject,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A3: char > real > $o,B3: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( ( produc2007437005e_real @ A2 @ B2 )
% 3.11/1.66          = ( produc2007437005e_real @ A3 @ B3 ) )
% 3.11/1.66       => ~ ( ( A2 = A3 )
% 3.11/1.66           => ( B2 != B3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_49_prod__cases,axiom,
% 3.11/1.66      ! [P: produc928489369r_real > $o,P2: produc928489369r_real] :
% 3.11/1.66        ( ! [A: char > real,B: char > real] : ( P @ ( produc700235985r_real @ A @ B ) )
% 3.11/1.66       => ( P @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_50_prod__cases,axiom,
% 3.11/1.66      ! [P: produc96687023l_real > $o,P2: produc96687023l_real] :
% 3.11/1.66        ( ! [A: char > real > real,B: char > real > real] : ( P @ ( produc686464615l_real @ A @ B ) )
% 3.11/1.66       => ( P @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_51_prod__cases,axiom,
% 3.11/1.66      ! [P: produc2070499431real_o > $o,P2: produc2070499431real_o] :
% 3.11/1.66        ( ! [A: char > real > $o,B: char > real > $o] : ( P @ ( produc1566957527real_o @ A @ B ) )
% 3.11/1.66       => ( P @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_52_prod__cases,axiom,
% 3.11/1.66      ! [P: produc1606031907real_o > $o,P2: produc1606031907real_o] :
% 3.11/1.66        ( ! [A: char > set_variable_real > set_variable_real,B: char > real > $o] : ( P @ ( produc1285468373real_o @ A @ B ) )
% 3.11/1.66       => ( P @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_53_prod__cases,axiom,
% 3.11/1.66      ! [P: produc1120170903e_real > $o,P2: produc1120170903e_real] :
% 3.11/1.66        ( ! [A: char > set_variable_real > set_variable_real,B: char > set_variable_real > set_variable_real] : ( P @ ( produc525232719e_real @ A @ B ) )
% 3.11/1.66       => ( P @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_54_prod__cases,axiom,
% 3.11/1.66      ! [P: produc1993135732e_real > $o,P2: produc1993135732e_real] :
% 3.11/1.66        ( ! [A: char > real,B: produc1020032539e_real] : ( P @ ( produc2125489830e_real @ A @ B ) )
% 3.11/1.66       => ( P @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_55_prod__cases,axiom,
% 3.11/1.66      ! [P: produc1020032539e_real > $o,P2: produc1020032539e_real] :
% 3.11/1.66        ( ! [A: char > real > real,B: produc104944723e_real] : ( P @ ( produc141013715e_real @ A @ B ) )
% 3.11/1.66       => ( P @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_56_prod__cases,axiom,
% 3.11/1.66      ! [P: produc104944723e_real > $o,P2: produc104944723e_real] :
% 3.11/1.66        ( ! [A: char > real > $o,B: char > set_variable_real > set_variable_real] : ( P @ ( produc2007437005e_real @ A @ B ) )
% 3.11/1.66       => ( P @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_57_surj__pair,axiom,
% 3.11/1.66      ! [P2: produc928489369r_real] :
% 3.11/1.66      ? [X3: char > real,Y3: char > real] :
% 3.11/1.66        ( P2
% 3.11/1.66        = ( produc700235985r_real @ X3 @ Y3 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_58_surj__pair,axiom,
% 3.11/1.66      ! [P2: produc96687023l_real] :
% 3.11/1.66      ? [X3: char > real > real,Y3: char > real > real] :
% 3.11/1.66        ( P2
% 3.11/1.66        = ( produc686464615l_real @ X3 @ Y3 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_59_surj__pair,axiom,
% 3.11/1.66      ! [P2: produc2070499431real_o] :
% 3.11/1.66      ? [X3: char > real > $o,Y3: char > real > $o] :
% 3.11/1.66        ( P2
% 3.11/1.66        = ( produc1566957527real_o @ X3 @ Y3 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_60_surj__pair,axiom,
% 3.11/1.66      ! [P2: produc1606031907real_o] :
% 3.11/1.66      ? [X3: char > set_variable_real > set_variable_real,Y3: char > real > $o] :
% 3.11/1.66        ( P2
% 3.11/1.66        = ( produc1285468373real_o @ X3 @ Y3 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_61_surj__pair,axiom,
% 3.11/1.66      ! [P2: produc1120170903e_real] :
% 3.11/1.66      ? [X3: char > set_variable_real > set_variable_real,Y3: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( P2
% 3.11/1.66        = ( produc525232719e_real @ X3 @ Y3 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_62_surj__pair,axiom,
% 3.11/1.66      ! [P2: produc1993135732e_real] :
% 3.11/1.66      ? [X3: char > real,Y3: produc1020032539e_real] :
% 3.11/1.66        ( P2
% 3.11/1.66        = ( produc2125489830e_real @ X3 @ Y3 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_63_surj__pair,axiom,
% 3.11/1.66      ! [P2: produc1020032539e_real] :
% 3.11/1.66      ? [X3: char > real > real,Y3: produc104944723e_real] :
% 3.11/1.66        ( P2
% 3.11/1.66        = ( produc141013715e_real @ X3 @ Y3 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_64_surj__pair,axiom,
% 3.11/1.66      ! [P2: produc104944723e_real] :
% 3.11/1.66      ? [X3: char > real > $o,Y3: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( P2
% 3.11/1.66        = ( produc2007437005e_real @ X3 @ Y3 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_65_prod__induct3,axiom,
% 3.11/1.66      ! [P: produc1993135732e_real > $o,X: produc1993135732e_real] :
% 3.11/1.66        ( ! [A: char > real,B: char > real > real,C3: produc104944723e_real] : ( P @ ( produc2125489830e_real @ A @ ( produc141013715e_real @ B @ C3 ) ) )
% 3.11/1.66       => ( P @ X ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_66_prod__induct3,axiom,
% 3.11/1.66      ! [P: produc1020032539e_real > $o,X: produc1020032539e_real] :
% 3.11/1.66        ( ! [A: char > real > real,B: char > real > $o,C3: char > set_variable_real > set_variable_real] : ( P @ ( produc141013715e_real @ A @ ( produc2007437005e_real @ B @ C3 ) ) )
% 3.11/1.66       => ( P @ X ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_67_prod__cases3,axiom,
% 3.11/1.66      ! [Y: produc1993135732e_real] :
% 3.11/1.66        ~ ! [A: char > real,B: char > real > real,C3: produc104944723e_real] :
% 3.11/1.66            ( Y
% 3.11/1.66           != ( produc2125489830e_real @ A @ ( produc141013715e_real @ B @ C3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_68_prod__cases3,axiom,
% 3.11/1.66      ! [Y: produc1020032539e_real] :
% 3.11/1.66        ~ ! [A: char > real > real,B: char > real > $o,C3: char > set_variable_real > set_variable_real] :
% 3.11/1.66            ( Y
% 3.11/1.66           != ( produc141013715e_real @ A @ ( produc2007437005e_real @ B @ C3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_69_Games__mkinterp,axiom,
% 3.11/1.66      ! [G: char > set_variable_real > set_variable_real,C: char > real,F: char > real > real,P: char > real > $o] :
% 3.11/1.66        ( ! [A: char] : ( order_1507925822e_real @ ( G @ A ) )
% 3.11/1.66       => ( ( denotational_Games @ ( denota1150374853interp @ ( produc2125489830e_real @ C @ ( produc141013715e_real @ F @ ( produc2007437005e_real @ P @ G ) ) ) ) )
% 3.11/1.66          = G ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_70_pred__equals__eq2,axiom,
% 3.11/1.66      ! [R: set_Pr42335993r_real,S: set_Pr42335993r_real] :
% 3.11/1.66        ( ( ( ^ [X4: char > real,Y4: char > real] : ( member1086859330r_real @ ( produc700235985r_real @ X4 @ Y4 ) @ R ) )
% 3.11/1.66          = ( ^ [X4: char > real,Y4: char > real] : ( member1086859330r_real @ ( produc700235985r_real @ X4 @ Y4 ) @ S ) ) )
% 3.11/1.66        = ( R = S ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_71_pred__equals__eq2,axiom,
% 3.11/1.66      ! [R: set_Pr1919093775l_real,S: set_Pr1919093775l_real] :
% 3.11/1.66        ( ( ( ^ [X4: char > real > real,Y4: char > real > real] : ( member1801875544l_real @ ( produc686464615l_real @ X4 @ Y4 ) @ R ) )
% 3.11/1.66          = ( ^ [X4: char > real > real,Y4: char > real > real] : ( member1801875544l_real @ ( produc686464615l_real @ X4 @ Y4 ) @ S ) ) )
% 3.11/1.66        = ( R = S ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_72_pred__equals__eq2,axiom,
% 3.11/1.66      ! [R: set_Pr1053253703real_o,S: set_Pr1053253703real_o] :
% 3.11/1.66        ( ( ( ^ [X4: char > real > $o,Y4: char > real > $o] : ( member1795186320real_o @ ( produc1566957527real_o @ X4 @ Y4 ) @ R ) )
% 3.11/1.66          = ( ^ [X4: char > real > $o,Y4: char > real > $o] : ( member1795186320real_o @ ( produc1566957527real_o @ X4 @ Y4 ) @ S ) ) )
% 3.11/1.66        = ( R = S ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_73_pred__equals__eq2,axiom,
% 3.11/1.66      ! [R: set_Pr366573913real_o,S: set_Pr366573913real_o] :
% 3.11/1.66        ( ( ( ^ [X4: char > set_variable_real > set_variable_real,Y4: char > real > $o] : ( member1225120698real_o @ ( produc1285468373real_o @ X4 @ Y4 ) @ R ) )
% 3.11/1.66          = ( ^ [X4: char > set_variable_real > set_variable_real,Y4: char > real > $o] : ( member1225120698real_o @ ( produc1285468373real_o @ X4 @ Y4 ) @ S ) ) )
% 3.11/1.66        = ( R = S ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_74_pred__equals__eq2,axiom,
% 3.11/1.66      ! [R: set_Pr1588228599e_real,S: set_Pr1588228599e_real] :
% 3.11/1.66        ( ( ( ^ [X4: char > set_variable_real > set_variable_real,Y4: char > set_variable_real > set_variable_real] : ( member625963584e_real @ ( produc525232719e_real @ X4 @ Y4 ) @ R ) )
% 3.11/1.66          = ( ^ [X4: char > set_variable_real > set_variable_real,Y4: char > set_variable_real > set_variable_real] : ( member625963584e_real @ ( produc525232719e_real @ X4 @ Y4 ) @ S ) ) )
% 3.11/1.66        = ( R = S ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_75_pred__equals__eq2,axiom,
% 3.11/1.66      ! [R: set_Pr397354154e_real,S: set_Pr397354154e_real] :
% 3.11/1.66        ( ( ( ^ [X4: char > real,Y4: produc1020032539e_real] : ( member1491807627e_real @ ( produc2125489830e_real @ X4 @ Y4 ) @ R ) )
% 3.11/1.66          = ( ^ [X4: char > real,Y4: produc1020032539e_real] : ( member1491807627e_real @ ( produc2125489830e_real @ X4 @ Y4 ) @ S ) ) )
% 3.11/1.66        = ( R = S ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_76_pred__equals__eq2,axiom,
% 3.11/1.66      ! [R: set_Pr307567739e_real,S: set_Pr307567739e_real] :
% 3.11/1.66        ( ( ( ^ [X4: char > real > real,Y4: produc104944723e_real] : ( member544802500e_real @ ( produc141013715e_real @ X4 @ Y4 ) @ R ) )
% 3.11/1.66          = ( ^ [X4: char > real > real,Y4: produc104944723e_real] : ( member544802500e_real @ ( produc141013715e_real @ X4 @ Y4 ) @ S ) ) )
% 3.11/1.66        = ( R = S ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_77_pred__equals__eq2,axiom,
% 3.11/1.66      ! [R: set_Pr268868489e_real,S: set_Pr268868489e_real] :
% 3.11/1.66        ( ( ( ^ [X4: char > real > $o,Y4: char > set_variable_real > set_variable_real] : ( member1871517162e_real @ ( produc2007437005e_real @ X4 @ Y4 ) @ R ) )
% 3.11/1.66          = ( ^ [X4: char > real > $o,Y4: char > set_variable_real > set_variable_real] : ( member1871517162e_real @ ( produc2007437005e_real @ X4 @ Y4 ) @ S ) ) )
% 3.11/1.66        = ( R = S ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_78_ssubst__Pair__rhs,axiom,
% 3.11/1.66      ! [R2: char > real,S2: char > real,R: set_Pr42335993r_real,S3: char > real] :
% 3.11/1.66        ( ( member1086859330r_real @ ( produc700235985r_real @ R2 @ S2 ) @ R )
% 3.11/1.66       => ( ( S3 = S2 )
% 3.11/1.66         => ( member1086859330r_real @ ( produc700235985r_real @ R2 @ S3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_79_ssubst__Pair__rhs,axiom,
% 3.11/1.66      ! [R2: char > real > real,S2: char > real > real,R: set_Pr1919093775l_real,S3: char > real > real] :
% 3.11/1.66        ( ( member1801875544l_real @ ( produc686464615l_real @ R2 @ S2 ) @ R )
% 3.11/1.66       => ( ( S3 = S2 )
% 3.11/1.66         => ( member1801875544l_real @ ( produc686464615l_real @ R2 @ S3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_80_ssubst__Pair__rhs,axiom,
% 3.11/1.66      ! [R2: char > real > $o,S2: char > real > $o,R: set_Pr1053253703real_o,S3: char > real > $o] :
% 3.11/1.66        ( ( member1795186320real_o @ ( produc1566957527real_o @ R2 @ S2 ) @ R )
% 3.11/1.66       => ( ( S3 = S2 )
% 3.11/1.66         => ( member1795186320real_o @ ( produc1566957527real_o @ R2 @ S3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_81_ssubst__Pair__rhs,axiom,
% 3.11/1.66      ! [R2: char > set_variable_real > set_variable_real,S2: char > real > $o,R: set_Pr366573913real_o,S3: char > real > $o] :
% 3.11/1.66        ( ( member1225120698real_o @ ( produc1285468373real_o @ R2 @ S2 ) @ R )
% 3.11/1.66       => ( ( S3 = S2 )
% 3.11/1.66         => ( member1225120698real_o @ ( produc1285468373real_o @ R2 @ S3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_82_ssubst__Pair__rhs,axiom,
% 3.11/1.66      ! [R2: char > set_variable_real > set_variable_real,S2: char > set_variable_real > set_variable_real,R: set_Pr1588228599e_real,S3: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( member625963584e_real @ ( produc525232719e_real @ R2 @ S2 ) @ R )
% 3.11/1.66       => ( ( S3 = S2 )
% 3.11/1.66         => ( member625963584e_real @ ( produc525232719e_real @ R2 @ S3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_83_ssubst__Pair__rhs,axiom,
% 3.11/1.66      ! [R2: char > real,S2: produc1020032539e_real,R: set_Pr397354154e_real,S3: produc1020032539e_real] :
% 3.11/1.66        ( ( member1491807627e_real @ ( produc2125489830e_real @ R2 @ S2 ) @ R )
% 3.11/1.66       => ( ( S3 = S2 )
% 3.11/1.66         => ( member1491807627e_real @ ( produc2125489830e_real @ R2 @ S3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_84_ssubst__Pair__rhs,axiom,
% 3.11/1.66      ! [R2: char > real > real,S2: produc104944723e_real,R: set_Pr307567739e_real,S3: produc104944723e_real] :
% 3.11/1.66        ( ( member544802500e_real @ ( produc141013715e_real @ R2 @ S2 ) @ R )
% 3.11/1.66       => ( ( S3 = S2 )
% 3.11/1.66         => ( member544802500e_real @ ( produc141013715e_real @ R2 @ S3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_85_ssubst__Pair__rhs,axiom,
% 3.11/1.66      ! [R2: char > real > $o,S2: char > set_variable_real > set_variable_real,R: set_Pr268868489e_real,S3: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( member1871517162e_real @ ( produc2007437005e_real @ R2 @ S2 ) @ R )
% 3.11/1.66       => ( ( S3 = S2 )
% 3.11/1.66         => ( member1871517162e_real @ ( produc2007437005e_real @ R2 @ S3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_86_curry__conv,axiom,
% 3.11/1.66      ( produc809977789real_o
% 3.11/1.66      = ( ^ [F2: produc104944723e_real > $o,A4: char > real > $o,B4: char > set_variable_real > set_variable_real] : ( F2 @ ( produc2007437005e_real @ A4 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_87_curry__conv,axiom,
% 3.11/1.66      ( produc753879889real_o
% 3.11/1.66      = ( ^ [F2: produc1020032539e_real > $o,A4: char > real > real,B4: produc104944723e_real] : ( F2 @ ( produc141013715e_real @ A4 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_88_curry__conv,axiom,
% 3.11/1.66      ( produc998184740real_o
% 3.11/1.66      = ( ^ [F2: produc1993135732e_real > $o,A4: char > real,B4: produc1020032539e_real] : ( F2 @ ( produc2125489830e_real @ A4 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_89_curry__def,axiom,
% 3.11/1.66      ( produc809977789real_o
% 3.11/1.66      = ( ^ [C2: produc104944723e_real > $o,X4: char > real > $o,Y4: char > set_variable_real > set_variable_real] : ( C2 @ ( produc2007437005e_real @ X4 @ Y4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_90_curry__def,axiom,
% 3.11/1.66      ( produc753879889real_o
% 3.11/1.66      = ( ^ [C2: produc1020032539e_real > $o,X4: char > real > real,Y4: produc104944723e_real] : ( C2 @ ( produc141013715e_real @ X4 @ Y4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_91_curry__def,axiom,
% 3.11/1.66      ( produc998184740real_o
% 3.11/1.66      = ( ^ [C2: produc1993135732e_real > $o,X4: char > real,Y4: produc1020032539e_real] : ( C2 @ ( produc2125489830e_real @ X4 @ Y4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_92_curryI,axiom,
% 3.11/1.66      ! [F3: produc928489369r_real > $o,A2: char > real,B2: char > real] :
% 3.11/1.66        ( ( F3 @ ( produc700235985r_real @ A2 @ B2 ) )
% 3.11/1.66       => ( produc1735668179real_o @ F3 @ A2 @ B2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_93_curryI,axiom,
% 3.11/1.66      ! [F3: produc96687023l_real > $o,A2: char > real > real,B2: char > real > real] :
% 3.11/1.66        ( ( F3 @ ( produc686464615l_real @ A2 @ B2 ) )
% 3.11/1.66       => ( produc311008957real_o @ F3 @ A2 @ B2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_94_curryI,axiom,
% 3.11/1.66      ! [F3: produc2070499431real_o > $o,A2: char > real > $o,B2: char > real > $o] :
% 3.11/1.66        ( ( F3 @ ( produc1566957527real_o @ A2 @ B2 ) )
% 3.11/1.66       => ( produc169502925al_o_o @ F3 @ A2 @ B2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_95_curryI,axiom,
% 3.11/1.66      ! [F3: produc1606031907real_o > $o,A2: char > set_variable_real > set_variable_real,B2: char > real > $o] :
% 3.11/1.66        ( ( F3 @ ( produc1285468373real_o @ A2 @ B2 ) )
% 3.11/1.66       => ( produc647541685al_o_o @ F3 @ A2 @ B2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_96_curryI,axiom,
% 3.11/1.66      ! [F3: produc1120170903e_real > $o,A2: char > set_variable_real > set_variable_real,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( F3 @ ( produc525232719e_real @ A2 @ B2 ) )
% 3.11/1.66       => ( produc1935758037real_o @ F3 @ A2 @ B2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_97_curryI,axiom,
% 3.11/1.66      ! [F3: produc1993135732e_real > $o,A2: char > real,B2: produc1020032539e_real] :
% 3.11/1.66        ( ( F3 @ ( produc2125489830e_real @ A2 @ B2 ) )
% 3.11/1.66       => ( produc998184740real_o @ F3 @ A2 @ B2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_98_curryI,axiom,
% 3.11/1.66      ! [F3: produc1020032539e_real > $o,A2: char > real > real,B2: produc104944723e_real] :
% 3.11/1.66        ( ( F3 @ ( produc141013715e_real @ A2 @ B2 ) )
% 3.11/1.66       => ( produc753879889real_o @ F3 @ A2 @ B2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_99_curryI,axiom,
% 3.11/1.66      ! [F3: produc104944723e_real > $o,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( F3 @ ( produc2007437005e_real @ A2 @ B2 ) )
% 3.11/1.66       => ( produc809977789real_o @ F3 @ A2 @ B2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_100_worlds__def,axiom,
% 3.11/1.66      ( denotational_worlds
% 3.11/1.66      = ( collec633296133e_real
% 3.11/1.66        @ ^ [Nu: variable > real] : $true ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_101_swap__simp,axiom,
% 3.11/1.66      ! [X: char > real,Y: char > real] :
% 3.11/1.66        ( ( produc1564675697r_real @ ( produc700235985r_real @ X @ Y ) )
% 3.11/1.66        = ( produc700235985r_real @ Y @ X ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_102_swap__simp,axiom,
% 3.11/1.66      ! [X: char > real > real,Y: char > real > real] :
% 3.11/1.66        ( ( produc995978247l_real @ ( produc686464615l_real @ X @ Y ) )
% 3.11/1.66        = ( produc686464615l_real @ Y @ X ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_103_swap__simp,axiom,
% 3.11/1.66      ! [X: char > real > $o,Y: char > real > $o] :
% 3.11/1.66        ( ( produc443915639real_o @ ( produc1566957527real_o @ X @ Y ) )
% 3.11/1.66        = ( produc1566957527real_o @ Y @ X ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_104_swap__simp,axiom,
% 3.11/1.66      ! [X: char > set_variable_real > set_variable_real,Y: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc1656125423e_real @ ( produc525232719e_real @ X @ Y ) )
% 3.11/1.66        = ( produc525232719e_real @ Y @ X ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_105_swap__simp,axiom,
% 3.11/1.66      ! [X: produc1020032539e_real,Y: char > real] :
% 3.11/1.66        ( ( produc918320576r_real @ ( produc1317530464r_real @ X @ Y ) )
% 3.11/1.66        = ( produc2125489830e_real @ Y @ X ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_106_swap__simp,axiom,
% 3.11/1.66      ! [X: produc104944723e_real,Y: char > real > real] :
% 3.11/1.66        ( ( produc1778103411l_real @ ( produc1053845203l_real @ X @ Y ) )
% 3.11/1.66        = ( produc141013715e_real @ Y @ X ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_107_swap__simp,axiom,
% 3.11/1.66      ! [X: char > set_variable_real > set_variable_real,Y: char > real > $o] :
% 3.11/1.66        ( ( produc192924469real_o @ ( produc1285468373real_o @ X @ Y ) )
% 3.11/1.66        = ( produc2007437005e_real @ Y @ X ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_108_swap__simp,axiom,
% 3.11/1.66      ! [X: char > real,Y: produc1020032539e_real] :
% 3.11/1.66        ( ( produc1726279942e_real @ ( produc2125489830e_real @ X @ Y ) )
% 3.11/1.66        = ( produc1317530464r_real @ Y @ X ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_109_swap__simp,axiom,
% 3.11/1.66      ! [X: char > real > real,Y: produc104944723e_real] :
% 3.11/1.66        ( ( produc865271923e_real @ ( produc141013715e_real @ X @ Y ) )
% 3.11/1.66        = ( produc1053845203l_real @ Y @ X ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_110_swap__simp,axiom,
% 3.11/1.66      ! [X: char > real > $o,Y: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc914893101e_real @ ( produc2007437005e_real @ X @ Y ) )
% 3.11/1.66        = ( produc1285468373real_o @ Y @ X ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_111_Pair__Rep__def,axiom,
% 3.11/1.66      ( produc210225566e_real
% 3.11/1.66      = ( ^ [A4: char > real > $o,B4: char > set_variable_real > set_variable_real,X4: char > real > $o,Y4: char > set_variable_real > set_variable_real] :
% 3.11/1.66            ( ( X4 = A4 )
% 3.11/1.66            & ( Y4 = B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_112_Pair__Rep__def,axiom,
% 3.11/1.66      ( produc619891650e_real
% 3.11/1.66      = ( ^ [A4: char > real > real,B4: produc104944723e_real,X4: char > real > real,Y4: produc104944723e_real] :
% 3.11/1.66            ( ( X4 = A4 )
% 3.11/1.66            & ( Y4 = B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_113_Pair__Rep__def,axiom,
% 3.11/1.66      ( produc345845751e_real
% 3.11/1.66      = ( ^ [A4: char > real,B4: produc1020032539e_real,X4: char > real,Y4: produc1020032539e_real] :
% 3.11/1.66            ( ( X4 = A4 )
% 3.11/1.66            & ( Y4 = B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_114_swap__swap,axiom,
% 3.11/1.66      ! [P2: produc1993135732e_real] :
% 3.11/1.66        ( ( produc918320576r_real @ ( produc1726279942e_real @ P2 ) )
% 3.11/1.66        = P2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_115_swap__swap,axiom,
% 3.11/1.66      ! [P2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc1778103411l_real @ ( produc865271923e_real @ P2 ) )
% 3.11/1.66        = P2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_116_swap__swap,axiom,
% 3.11/1.66      ! [P2: produc2139219430r_real] :
% 3.11/1.66        ( ( produc1726279942e_real @ ( produc918320576r_real @ P2 ) )
% 3.11/1.66        = P2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_117_swap__swap,axiom,
% 3.11/1.66      ! [P2: produc729247771l_real] :
% 3.11/1.66        ( ( produc865271923e_real @ ( produc1778103411l_real @ P2 ) )
% 3.11/1.66        = P2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_118_swap__swap,axiom,
% 3.11/1.66      ! [P2: produc1606031907real_o] :
% 3.11/1.66        ( ( produc914893101e_real @ ( produc192924469real_o @ P2 ) )
% 3.11/1.66        = P2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_119_swap__swap,axiom,
% 3.11/1.66      ! [P2: produc104944723e_real] :
% 3.11/1.66        ( ( produc192924469real_o @ ( produc914893101e_real @ P2 ) )
% 3.11/1.66        = P2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_120_curry__K,axiom,
% 3.11/1.66      ! [C4: $o] :
% 3.11/1.66        ( ( produc809977789real_o
% 3.11/1.66          @ ^ [X4: produc104944723e_real] : C4 )
% 3.11/1.66        = ( ^ [X4: char > real > $o,Y4: char > set_variable_real > set_variable_real] : C4 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_121_curry__K,axiom,
% 3.11/1.66      ! [C4: $o] :
% 3.11/1.66        ( ( produc753879889real_o
% 3.11/1.66          @ ^ [X4: produc1020032539e_real] : C4 )
% 3.11/1.66        = ( ^ [X4: char > real > real,Y4: produc104944723e_real] : C4 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_122_curry__K,axiom,
% 3.11/1.66      ! [C4: $o] :
% 3.11/1.66        ( ( produc998184740real_o
% 3.11/1.66          @ ^ [X4: produc1993135732e_real] : C4 )
% 3.11/1.66        = ( ^ [X4: char > real,Y4: produc1020032539e_real] : C4 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_123_curryD,axiom,
% 3.11/1.66      ! [F3: produc928489369r_real > $o,A2: char > real,B2: char > real] :
% 3.11/1.66        ( ( produc1735668179real_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc700235985r_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_124_curryD,axiom,
% 3.11/1.66      ! [F3: produc96687023l_real > $o,A2: char > real > real,B2: char > real > real] :
% 3.11/1.66        ( ( produc311008957real_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc686464615l_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_125_curryD,axiom,
% 3.11/1.66      ! [F3: produc2070499431real_o > $o,A2: char > real > $o,B2: char > real > $o] :
% 3.11/1.66        ( ( produc169502925al_o_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc1566957527real_o @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_126_curryD,axiom,
% 3.11/1.66      ! [F3: produc1606031907real_o > $o,A2: char > set_variable_real > set_variable_real,B2: char > real > $o] :
% 3.11/1.66        ( ( produc647541685al_o_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc1285468373real_o @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_127_curryD,axiom,
% 3.11/1.66      ! [F3: produc1120170903e_real > $o,A2: char > set_variable_real > set_variable_real,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc1935758037real_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc525232719e_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_128_curryD,axiom,
% 3.11/1.66      ! [F3: produc1993135732e_real > $o,A2: char > real,B2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc998184740real_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc2125489830e_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_129_curryD,axiom,
% 3.11/1.66      ! [F3: produc1020032539e_real > $o,A2: char > real > real,B2: produc104944723e_real] :
% 3.11/1.66        ( ( produc753879889real_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc141013715e_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_130_curryD,axiom,
% 3.11/1.66      ! [F3: produc104944723e_real > $o,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc809977789real_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc2007437005e_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_131_curryE,axiom,
% 3.11/1.66      ! [F3: produc928489369r_real > $o,A2: char > real,B2: char > real] :
% 3.11/1.66        ( ( produc1735668179real_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc700235985r_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_132_curryE,axiom,
% 3.11/1.66      ! [F3: produc96687023l_real > $o,A2: char > real > real,B2: char > real > real] :
% 3.11/1.66        ( ( produc311008957real_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc686464615l_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_133_curryE,axiom,
% 3.11/1.66      ! [F3: produc2070499431real_o > $o,A2: char > real > $o,B2: char > real > $o] :
% 3.11/1.66        ( ( produc169502925al_o_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc1566957527real_o @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_134_curryE,axiom,
% 3.11/1.66      ! [F3: produc1606031907real_o > $o,A2: char > set_variable_real > set_variable_real,B2: char > real > $o] :
% 3.11/1.66        ( ( produc647541685al_o_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc1285468373real_o @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_135_curryE,axiom,
% 3.11/1.66      ! [F3: produc1120170903e_real > $o,A2: char > set_variable_real > set_variable_real,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc1935758037real_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc525232719e_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_136_curryE,axiom,
% 3.11/1.66      ! [F3: produc1993135732e_real > $o,A2: char > real,B2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc998184740real_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc2125489830e_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_137_curryE,axiom,
% 3.11/1.66      ! [F3: produc1020032539e_real > $o,A2: char > real > real,B2: produc104944723e_real] :
% 3.11/1.66        ( ( produc753879889real_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc141013715e_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_138_curryE,axiom,
% 3.11/1.66      ! [F3: produc104944723e_real > $o,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc809977789real_o @ F3 @ A2 @ B2 )
% 3.11/1.66       => ( F3 @ ( produc2007437005e_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_139_Pair__def,axiom,
% 3.11/1.66      ( produc700235985r_real
% 3.11/1.66      = ( ^ [A4: char > real,B4: char > real] : ( produc1022533727r_real @ ( produc885334464r_real @ A4 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_140_Pair__def,axiom,
% 3.11/1.66      ( produc686464615l_real
% 3.11/1.66      = ( ^ [A4: char > real > real,B4: char > real > real] : ( produc606131701l_real @ ( produc1051282262l_real @ A4 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_141_Pair__def,axiom,
% 3.11/1.66      ( produc1566957527real_o
% 3.11/1.66      = ( ^ [A4: char > real > $o,B4: char > real > $o] : ( produc2033648741real_o @ ( produc214490950real_o @ A4 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_142_Pair__def,axiom,
% 3.11/1.66      ( produc1285468373real_o
% 3.11/1.66      = ( ^ [A4: char > set_variable_real > set_variable_real,B4: char > real > $o] : ( produc1965585607real_o @ ( produc1635740582real_o @ A4 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_143_Pair__def,axiom,
% 3.11/1.66      ( produc525232719e_real
% 3.11/1.66      = ( ^ [A4: char > set_variable_real > set_variable_real,B4: char > set_variable_real > set_variable_real] : ( produc1545903581e_real @ ( produc1689380158e_real @ A4 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_144_Pair__def,axiom,
% 3.11/1.66      ( produc2125489830e_real
% 3.11/1.66      = ( ^ [A4: char > real,B4: produc1020032539e_real] : ( produc1448824728e_real @ ( produc345845751e_real @ A4 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_145_Pair__def,axiom,
% 3.11/1.66      ( produc141013715e_real
% 3.11/1.66      = ( ^ [A4: char > real > real,B4: produc104944723e_real] : ( produc877953633e_real @ ( produc619891650e_real @ A4 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_146_Pair__def,axiom,
% 3.11/1.66      ( produc2007437005e_real
% 3.11/1.66      = ( ^ [A4: char > real > $o,B4: char > set_variable_real > set_variable_real] : ( produc540070591e_real @ ( produc210225566e_real @ A4 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_147_pair__in__swap__image,axiom,
% 3.11/1.66      ! [Y: char > real,X: char > real,A5: set_Pr42335993r_real] :
% 3.11/1.66        ( ( member1086859330r_real @ ( produc700235985r_real @ Y @ X ) @ ( image_1523756869r_real @ produc1564675697r_real @ A5 ) )
% 3.11/1.66        = ( member1086859330r_real @ ( produc700235985r_real @ X @ Y ) @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_148_pair__in__swap__image,axiom,
% 3.11/1.66      ! [Y: char > real > real,X: char > real > real,A5: set_Pr1919093775l_real] :
% 3.11/1.66        ( ( member1801875544l_real @ ( produc686464615l_real @ Y @ X ) @ ( image_1347499973l_real @ produc995978247l_real @ A5 ) )
% 3.11/1.66        = ( member1801875544l_real @ ( produc686464615l_real @ X @ Y ) @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_149_pair__in__swap__image,axiom,
% 3.11/1.66      ! [Y: char > real > $o,X: char > real > $o,A5: set_Pr1053253703real_o] :
% 3.11/1.66        ( ( member1795186320real_o @ ( produc1566957527real_o @ Y @ X ) @ ( image_448624581real_o @ produc443915639real_o @ A5 ) )
% 3.11/1.66        = ( member1795186320real_o @ ( produc1566957527real_o @ X @ Y ) @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_150_pair__in__swap__image,axiom,
% 3.11/1.66      ! [Y: char > set_variable_real > set_variable_real,X: char > set_variable_real > set_variable_real,A5: set_Pr1588228599e_real] :
% 3.11/1.66        ( ( member625963584e_real @ ( produc525232719e_real @ Y @ X ) @ ( image_1495813573e_real @ produc1656125423e_real @ A5 ) )
% 3.11/1.66        = ( member625963584e_real @ ( produc525232719e_real @ X @ Y ) @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_151_pair__in__swap__image,axiom,
% 3.11/1.66      ! [Y: produc1020032539e_real,X: char > real,A5: set_Pr397354154e_real] :
% 3.11/1.66        ( ( member1637891325r_real @ ( produc1317530464r_real @ Y @ X ) @ ( image_1012526049r_real @ produc1726279942e_real @ A5 ) )
% 3.11/1.66        = ( member1491807627e_real @ ( produc2125489830e_real @ X @ Y ) @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_152_pair__in__swap__image,axiom,
% 3.11/1.66      ! [Y: produc104944723e_real,X: char > real > real,A5: set_Pr307567739e_real] :
% 3.11/1.66        ( ( member254017732l_real @ ( produc1053845203l_real @ Y @ X ) @ ( image_1532748485l_real @ produc865271923e_real @ A5 ) )
% 3.11/1.66        = ( member544802500e_real @ ( produc141013715e_real @ X @ Y ) @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_153_pair__in__swap__image,axiom,
% 3.11/1.66      ! [Y: char > set_variable_real > set_variable_real,X: char > real > $o,A5: set_Pr268868489e_real] :
% 3.11/1.66        ( ( member1225120698real_o @ ( produc1285468373real_o @ Y @ X ) @ ( image_24290429real_o @ produc914893101e_real @ A5 ) )
% 3.11/1.66        = ( member1871517162e_real @ ( produc2007437005e_real @ X @ Y ) @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_154_pair__in__swap__image,axiom,
% 3.11/1.66      ! [Y: char > real,X: produc1020032539e_real,A5: set_Pr821009180r_real] :
% 3.11/1.66        ( ( member1491807627e_real @ ( produc2125489830e_real @ Y @ X ) @ ( image_152725217e_real @ produc918320576r_real @ A5 ) )
% 3.11/1.66        = ( member1637891325r_real @ ( produc1317530464r_real @ X @ Y ) @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_155_pair__in__swap__image,axiom,
% 3.11/1.66      ! [Y: char > real > real,X: produc104944723e_real,A5: set_Pr1730352763l_real] :
% 3.11/1.66        ( ( member544802500e_real @ ( produc141013715e_real @ Y @ X ) @ ( image_711552709e_real @ produc1778103411l_real @ A5 ) )
% 3.11/1.66        = ( member254017732l_real @ ( produc1053845203l_real @ X @ Y ) @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_156_pair__in__swap__image,axiom,
% 3.11/1.66      ! [Y: char > real > $o,X: char > set_variable_real > set_variable_real,A5: set_Pr366573913real_o] :
% 3.11/1.66        ( ( member1871517162e_real @ ( produc2007437005e_real @ Y @ X ) @ ( image_2028344445e_real @ produc192924469real_o @ A5 ) )
% 3.11/1.66        = ( member1225120698real_o @ ( produc1285468373real_o @ X @ Y ) @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_157_in__inv__image,axiom,
% 3.11/1.66      ! [X: char > real,Y: char > real,R2: set_Pr42335993r_real,F3: ( char > real ) > char > real] :
% 3.11/1.66        ( ( member1086859330r_real @ ( produc700235985r_real @ X @ Y ) @ ( inv_im817616652r_real @ R2 @ F3 ) )
% 3.11/1.66        = ( member1086859330r_real @ ( produc700235985r_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_158_in__inv__image,axiom,
% 3.11/1.66      ! [X: char > real,Y: char > real,R2: set_Pr1919093775l_real,F3: ( char > real ) > char > real > real] :
% 3.11/1.66        ( ( member1086859330r_real @ ( produc700235985r_real @ X @ Y ) @ ( inv_im854642519r_real @ R2 @ F3 ) )
% 3.11/1.66        = ( member1801875544l_real @ ( produc686464615l_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_159_in__inv__image,axiom,
% 3.11/1.66      ! [X: char > real,Y: char > real,R2: set_Pr1053253703real_o,F3: ( char > real ) > char > real > $o] :
% 3.11/1.66        ( ( member1086859330r_real @ ( produc700235985r_real @ X @ Y ) @ ( inv_im255337747r_real @ R2 @ F3 ) )
% 3.11/1.66        = ( member1795186320real_o @ ( produc1566957527real_o @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_160_in__inv__image,axiom,
% 3.11/1.66      ! [X: char > real > real,Y: char > real > real,R2: set_Pr42335993r_real,F3: ( char > real > real ) > char > real] :
% 3.11/1.66        ( ( member1801875544l_real @ ( produc686464615l_real @ X @ Y ) @ ( inv_im96827991l_real @ R2 @ F3 ) )
% 3.11/1.66        = ( member1086859330r_real @ ( produc700235985r_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_161_in__inv__image,axiom,
% 3.11/1.66      ! [X: char > real > $o,Y: char > real > $o,R2: set_Pr42335993r_real,F3: ( char > real > $o ) > char > real] :
% 3.11/1.66        ( ( member1795186320real_o @ ( produc1566957527real_o @ X @ Y ) @ ( inv_im331529689real_o @ R2 @ F3 ) )
% 3.11/1.66        = ( member1086859330r_real @ ( produc700235985r_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_162_in__inv__image,axiom,
% 3.11/1.66      ! [X: char > real > real,Y: char > real > real,R2: set_Pr1919093775l_real,F3: ( char > real > real ) > char > real > real] :
% 3.11/1.66        ( ( member1801875544l_real @ ( produc686464615l_real @ X @ Y ) @ ( inv_im2119069858l_real @ R2 @ F3 ) )
% 3.11/1.66        = ( member1801875544l_real @ ( produc686464615l_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_163_in__inv__image,axiom,
% 3.11/1.66      ! [X: char > real > real,Y: char > real > real,R2: set_Pr1053253703real_o,F3: ( char > real > real ) > char > real > $o] :
% 3.11/1.66        ( ( member1801875544l_real @ ( produc686464615l_real @ X @ Y ) @ ( inv_im576609886l_real @ R2 @ F3 ) )
% 3.11/1.66        = ( member1795186320real_o @ ( produc1566957527real_o @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_164_in__inv__image,axiom,
% 3.11/1.66      ! [X: char > real > $o,Y: char > real > $o,R2: set_Pr1919093775l_real,F3: ( char > real > $o ) > char > real > real] :
% 3.11/1.66        ( ( member1795186320real_o @ ( produc1566957527real_o @ X @ Y ) @ ( inv_im1748900174real_o @ R2 @ F3 ) )
% 3.11/1.66        = ( member1801875544l_real @ ( produc686464615l_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_165_in__inv__image,axiom,
% 3.11/1.66      ! [X: char > real > $o,Y: char > real > $o,R2: set_Pr1053253703real_o,F3: ( char > real > $o ) > char > real > $o] :
% 3.11/1.66        ( ( member1795186320real_o @ ( produc1566957527real_o @ X @ Y ) @ ( inv_im1954866834real_o @ R2 @ F3 ) )
% 3.11/1.66        = ( member1795186320real_o @ ( produc1566957527real_o @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_166_in__inv__image,axiom,
% 3.11/1.66      ! [X: char > real,Y: char > real,R2: set_Pr1588228599e_real,F3: ( char > real ) > char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( member1086859330r_real @ ( produc700235985r_real @ X @ Y ) @ ( inv_im710342731r_real @ R2 @ F3 ) )
% 3.11/1.66        = ( member625963584e_real @ ( produc525232719e_real @ ( F3 @ X ) @ ( F3 @ Y ) ) @ R2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_167_mem__Collect__eq,axiom,
% 3.11/1.66      ! [A2: char > real,P: ( char > real ) > $o] :
% 3.11/1.66        ( ( member_char_real @ A2 @ ( collect_char_real @ P ) )
% 3.11/1.66        = ( P @ A2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_168_mem__Collect__eq,axiom,
% 3.11/1.66      ! [A2: char > real > real,P: ( char > real > real ) > $o] :
% 3.11/1.66        ( ( member312374654l_real @ A2 @ ( collec1429138108l_real @ P ) )
% 3.11/1.66        = ( P @ A2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_169_mem__Collect__eq,axiom,
% 3.11/1.66      ! [A2: char > real > $o,P: ( char > real > $o ) > $o] :
% 3.11/1.66        ( ( member_char_real_o @ A2 @ ( collect_char_real_o @ P ) )
% 3.11/1.66        = ( P @ A2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_170_mem__Collect__eq,axiom,
% 3.11/1.66      ! [A2: char > set_variable_real > set_variable_real,P: ( char > set_variable_real > set_variable_real ) > $o] :
% 3.11/1.66        ( ( member2042895986e_real @ A2 @ ( collec425771440e_real @ P ) )
% 3.11/1.66        = ( P @ A2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_171_mem__Collect__eq,axiom,
% 3.11/1.66      ! [A2: produc1863992257e_real,P: produc1863992257e_real > $o] :
% 3.11/1.66        ( ( member561592938e_real @ A2 @ ( collec1042577836e_real @ P ) )
% 3.11/1.66        = ( P @ A2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_172_mem__Collect__eq,axiom,
% 3.11/1.66      ! [A2: variable > real,P: ( variable > real ) > $o] :
% 3.11/1.66        ( ( member_variable_real @ A2 @ ( collec633296133e_real @ P ) )
% 3.11/1.66        = ( P @ A2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_173_Collect__mem__eq,axiom,
% 3.11/1.66      ! [A5: set_char_real] :
% 3.11/1.66        ( ( collect_char_real
% 3.11/1.66          @ ^ [X4: char > real] : ( member_char_real @ X4 @ A5 ) )
% 3.11/1.66        = A5 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_174_Collect__mem__eq,axiom,
% 3.11/1.66      ! [A5: set_char_real_real] :
% 3.11/1.66        ( ( collec1429138108l_real
% 3.11/1.66          @ ^ [X4: char > real > real] : ( member312374654l_real @ X4 @ A5 ) )
% 3.11/1.66        = A5 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_175_Collect__mem__eq,axiom,
% 3.11/1.66      ! [A5: set_char_real_o] :
% 3.11/1.66        ( ( collect_char_real_o
% 3.11/1.66          @ ^ [X4: char > real > $o] : ( member_char_real_o @ X4 @ A5 ) )
% 3.11/1.66        = A5 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_176_Collect__mem__eq,axiom,
% 3.11/1.66      ! [A5: set_ch845833233e_real] :
% 3.11/1.66        ( ( collec425771440e_real
% 3.11/1.66          @ ^ [X4: char > set_variable_real > set_variable_real] : ( member2042895986e_real @ X4 @ A5 ) )
% 3.11/1.66        = A5 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_177_Collect__mem__eq,axiom,
% 3.11/1.66      ! [A5: set_Pr1530225953e_real] :
% 3.11/1.66        ( ( collec1042577836e_real
% 3.11/1.66          @ ^ [X4: produc1863992257e_real] : ( member561592938e_real @ X4 @ A5 ) )
% 3.11/1.66        = A5 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_178_Collect__mem__eq,axiom,
% 3.11/1.66      ! [A5: set_variable_real] :
% 3.11/1.66        ( ( collec633296133e_real
% 3.11/1.66          @ ^ [X4: variable > real] : ( member_variable_real @ X4 @ A5 ) )
% 3.11/1.66        = A5 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_179_Collect__cong,axiom,
% 3.11/1.66      ! [P: produc1863992257e_real > $o,Q: produc1863992257e_real > $o] :
% 3.11/1.66        ( ! [X3: produc1863992257e_real] :
% 3.11/1.66            ( ( P @ X3 )
% 3.11/1.66            = ( Q @ X3 ) )
% 3.11/1.66       => ( ( collec1042577836e_real @ P )
% 3.11/1.66          = ( collec1042577836e_real @ Q ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_180_Collect__cong,axiom,
% 3.11/1.66      ! [P: ( variable > real ) > $o,Q: ( variable > real ) > $o] :
% 3.11/1.66        ( ! [X3: variable > real] :
% 3.11/1.66            ( ( P @ X3 )
% 3.11/1.66            = ( Q @ X3 ) )
% 3.11/1.66       => ( ( collec633296133e_real @ P )
% 3.11/1.66          = ( collec633296133e_real @ Q ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_181_internal__case__prod__def,axiom,
% 3.11/1.66      produc1138486237e_real = produc1202665267e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_182_internal__case__prod__def,axiom,
% 3.11/1.66      produc677394266real_o = produc679978160real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_183_internal__case__prod__def,axiom,
% 3.11/1.66      produc584529143e_real = produc1906464077e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_184_internal__case__prod__def,axiom,
% 3.11/1.66      produc1070892532real_o = produc1629511198real_o ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_185_internal__case__prod__def,axiom,
% 3.11/1.66      produc1941565183e_real = produc1116016469e_real ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_186_case__swap,axiom,
% 3.11/1.66      ! [F3: ( char > real > real ) > produc104944723e_real > produc1020032539e_real,P2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc991789875e_real
% 3.11/1.66          @ ^ [Y4: produc104944723e_real,X4: char > real > real] : ( F3 @ X4 @ Y4 )
% 3.11/1.66          @ ( produc865271923e_real @ P2 ) )
% 3.11/1.66        = ( produc1202665267e_real @ F3 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_187_case__swap,axiom,
% 3.11/1.66      ! [F3: ( char > real > real ) > produc104944723e_real > $o,P2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc421130416real_o
% 3.11/1.66          @ ^ [Y4: produc104944723e_real,X4: char > real > real] : ( F3 @ X4 @ Y4 )
% 3.11/1.66          @ ( produc865271923e_real @ P2 ) )
% 3.11/1.66        = ( produc679978160real_o @ F3 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_188_case__swap,axiom,
% 3.11/1.66      ! [F3: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o,P2: produc104944723e_real] :
% 3.11/1.66        ( ( produc1467075094al_o_o
% 3.11/1.66          @ ^ [Y4: char > set_variable_real > set_variable_real,X4: char > real > $o] : ( F3 @ X4 @ Y4 )
% 3.11/1.66          @ ( produc914893101e_real @ P2 ) )
% 3.11/1.66        = ( produc1629511198real_o @ F3 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_189_case__swap,axiom,
% 3.11/1.66      ! [F3: produc104944723e_real > ( char > real > real ) > produc1020032539e_real,P2: produc729247771l_real] :
% 3.11/1.66        ( ( produc1202665267e_real
% 3.11/1.66          @ ^ [Y4: char > real > real,X4: produc104944723e_real] : ( F3 @ X4 @ Y4 )
% 3.11/1.66          @ ( produc1778103411l_real @ P2 ) )
% 3.11/1.66        = ( produc991789875e_real @ F3 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_190_case__swap,axiom,
% 3.11/1.66      ! [F3: produc104944723e_real > ( char > real > real ) > $o,P2: produc729247771l_real] :
% 3.11/1.66        ( ( produc679978160real_o
% 3.11/1.66          @ ^ [Y4: char > real > real,X4: produc104944723e_real] : ( F3 @ X4 @ Y4 )
% 3.11/1.66          @ ( produc1778103411l_real @ P2 ) )
% 3.11/1.66        = ( produc421130416real_o @ F3 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_191_case__swap,axiom,
% 3.11/1.66      ! [F3: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > produc104944723e_real,P2: produc1606031907real_o] :
% 3.11/1.66        ( ( produc1906464077e_real
% 3.11/1.66          @ ^ [Y4: char > real > $o,X4: char > set_variable_real > set_variable_real] : ( F3 @ X4 @ Y4 )
% 3.11/1.66          @ ( produc192924469real_o @ P2 ) )
% 3.11/1.66        = ( produc1116016469e_real @ F3 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_192_case__swap,axiom,
% 3.11/1.66      ! [F3: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o,P2: produc1606031907real_o] :
% 3.11/1.66        ( ( produc1629511198real_o
% 3.11/1.66          @ ^ [Y4: char > real > $o,X4: char > set_variable_real > set_variable_real] : ( F3 @ X4 @ Y4 )
% 3.11/1.66          @ ( produc192924469real_o @ P2 ) )
% 3.11/1.66        = ( produc1467075094al_o_o @ F3 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_193_case__swap,axiom,
% 3.11/1.66      ! [F3: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real,P2: produc104944723e_real] :
% 3.11/1.66        ( ( produc1116016469e_real
% 3.11/1.66          @ ^ [Y4: char > set_variable_real > set_variable_real,X4: char > real > $o] : ( F3 @ X4 @ Y4 )
% 3.11/1.66          @ ( produc914893101e_real @ P2 ) )
% 3.11/1.66        = ( produc1906464077e_real @ F3 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_194_The__split__eq,axiom,
% 3.11/1.66      ! [X: char > real,Y: char > real] :
% 3.11/1.66        ( ( the_Pr1076580896r_real
% 3.11/1.66          @ ( produc1655853874real_o
% 3.11/1.66            @ ^ [X5: char > real,Y5: char > real] :
% 3.11/1.66                ( ( X = X5 )
% 3.11/1.66                & ( Y = Y5 ) ) ) )
% 3.11/1.66        = ( produc700235985r_real @ X @ Y ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_195_The__split__eq,axiom,
% 3.11/1.66      ! [X: char > real > real,Y: char > real > real] :
% 3.11/1.66        ( ( the_Pr1196831286l_real
% 3.11/1.66          @ ( produc1095814172real_o
% 3.11/1.66            @ ^ [X5: char > real > real,Y5: char > real > real] :
% 3.11/1.66                ( ( X = X5 )
% 3.11/1.66                & ( Y = Y5 ) ) ) )
% 3.11/1.66        = ( produc686464615l_real @ X @ Y ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_196_The__split__eq,axiom,
% 3.11/1.66      ! [X: char > real > $o,Y: char > real > $o] :
% 3.11/1.66        ( ( the_Pr1811203438real_o
% 3.11/1.66          @ ( produc131289260al_o_o
% 3.11/1.66            @ ^ [X5: char > real > $o,Y5: char > real > $o] :
% 3.11/1.66                ( ( X = X5 )
% 3.11/1.66                & ( Y = Y5 ) ) ) )
% 3.11/1.66        = ( produc1566957527real_o @ X @ Y ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_197_The__split__eq,axiom,
% 3.11/1.66      ! [X: char > set_variable_real > set_variable_real,Y: char > real > $o] :
% 3.11/1.66        ( ( the_Pr1930357084real_o
% 3.11/1.66          @ ( produc1467075094al_o_o
% 3.11/1.66            @ ^ [X5: char > set_variable_real > set_variable_real,Y5: char > real > $o] :
% 3.11/1.66                ( ( X = X5 )
% 3.11/1.66                & ( Y = Y5 ) ) ) )
% 3.11/1.66        = ( produc1285468373real_o @ X @ Y ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_198_The__split__eq,axiom,
% 3.11/1.66      ! [X: char > set_variable_real > set_variable_real,Y: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( the_Pr198758430e_real
% 3.11/1.66          @ ( produc143994420real_o
% 3.11/1.66            @ ^ [X5: char > set_variable_real > set_variable_real,Y5: char > set_variable_real > set_variable_real] :
% 3.11/1.66                ( ( X = X5 )
% 3.11/1.66                & ( Y = Y5 ) ) ) )
% 3.11/1.66        = ( produc525232719e_real @ X @ Y ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_199_The__split__eq,axiom,
% 3.11/1.66      ! [X: char > real,Y: produc1020032539e_real] :
% 3.11/1.66        ( ( the_Pr543709229e_real
% 3.11/1.66          @ ( produc569598981real_o
% 3.11/1.66            @ ^ [X5: char > real,Y5: produc1020032539e_real] :
% 3.11/1.66                ( ( X = X5 )
% 3.11/1.66                & ( Y = Y5 ) ) ) )
% 3.11/1.66        = ( produc2125489830e_real @ X @ Y ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_200_The__split__eq,axiom,
% 3.11/1.66      ! [X: char > real > real,Y: produc104944723e_real] :
% 3.11/1.66        ( ( the_Pr1679925410e_real
% 3.11/1.66          @ ( produc679978160real_o
% 3.11/1.66            @ ^ [X5: char > real > real,Y5: produc104944723e_real] :
% 3.11/1.66                ( ( X = X5 )
% 3.11/1.66                & ( Y = Y5 ) ) ) )
% 3.11/1.66        = ( produc141013715e_real @ X @ Y ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_201_The__split__eq,axiom,
% 3.11/1.66      ! [X: char > real > $o,Y: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( the_Pr429269900e_real
% 3.11/1.66          @ ( produc1629511198real_o
% 3.11/1.66            @ ^ [X5: char > real > $o,Y5: char > set_variable_real > set_variable_real] :
% 3.11/1.66                ( ( X = X5 )
% 3.11/1.66                & ( Y = Y5 ) ) ) )
% 3.11/1.66        = ( produc2007437005e_real @ X @ Y ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_202_case__prodI2,axiom,
% 3.11/1.66      ! [P2: produc928489369r_real,C4: ( char > real ) > ( char > real ) > $o] :
% 3.11/1.66        ( ! [A: char > real,B: char > real] :
% 3.11/1.66            ( ( P2
% 3.11/1.66              = ( produc700235985r_real @ A @ B ) )
% 3.11/1.66           => ( C4 @ A @ B ) )
% 3.11/1.66       => ( produc1655853874real_o @ C4 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_203_case__prodI2,axiom,
% 3.11/1.66      ! [P2: produc96687023l_real,C4: ( char > real > real ) > ( char > real > real ) > $o] :
% 3.11/1.66        ( ! [A: char > real > real,B: char > real > real] :
% 3.11/1.66            ( ( P2
% 3.11/1.66              = ( produc686464615l_real @ A @ B ) )
% 3.11/1.66           => ( C4 @ A @ B ) )
% 3.11/1.66       => ( produc1095814172real_o @ C4 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_204_case__prodI2,axiom,
% 3.11/1.66      ! [P2: produc2070499431real_o,C4: ( char > real > $o ) > ( char > real > $o ) > $o] :
% 3.11/1.66        ( ! [A: char > real > $o,B: char > real > $o] :
% 3.11/1.66            ( ( P2
% 3.11/1.66              = ( produc1566957527real_o @ A @ B ) )
% 3.11/1.66           => ( C4 @ A @ B ) )
% 3.11/1.66       => ( produc131289260al_o_o @ C4 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_205_case__prodI2,axiom,
% 3.11/1.66      ! [P2: produc1606031907real_o,C4: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o] :
% 3.11/1.66        ( ! [A: char > set_variable_real > set_variable_real,B: char > real > $o] :
% 3.11/1.66            ( ( P2
% 3.11/1.66              = ( produc1285468373real_o @ A @ B ) )
% 3.11/1.66           => ( C4 @ A @ B ) )
% 3.11/1.66       => ( produc1467075094al_o_o @ C4 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_206_case__prodI2,axiom,
% 3.11/1.66      ! [P2: produc1120170903e_real,C4: ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o] :
% 3.11/1.66        ( ! [A: char > set_variable_real > set_variable_real,B: char > set_variable_real > set_variable_real] :
% 3.11/1.66            ( ( P2
% 3.11/1.66              = ( produc525232719e_real @ A @ B ) )
% 3.11/1.66           => ( C4 @ A @ B ) )
% 3.11/1.66       => ( produc143994420real_o @ C4 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_207_case__prodI2,axiom,
% 3.11/1.66      ! [P2: produc1993135732e_real,C4: ( char > real ) > produc1020032539e_real > $o] :
% 3.11/1.66        ( ! [A: char > real,B: produc1020032539e_real] :
% 3.11/1.66            ( ( P2
% 3.11/1.66              = ( produc2125489830e_real @ A @ B ) )
% 3.11/1.66           => ( C4 @ A @ B ) )
% 3.11/1.66       => ( produc569598981real_o @ C4 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_208_case__prodI2,axiom,
% 3.11/1.66      ! [P2: produc1020032539e_real,C4: ( char > real > real ) > produc104944723e_real > $o] :
% 3.11/1.66        ( ! [A: char > real > real,B: produc104944723e_real] :
% 3.11/1.66            ( ( P2
% 3.11/1.66              = ( produc141013715e_real @ A @ B ) )
% 3.11/1.66           => ( C4 @ A @ B ) )
% 3.11/1.66       => ( produc679978160real_o @ C4 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_209_case__prodI2,axiom,
% 3.11/1.66      ! [P2: produc104944723e_real,C4: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o] :
% 3.11/1.66        ( ! [A: char > real > $o,B: char > set_variable_real > set_variable_real] :
% 3.11/1.66            ( ( P2
% 3.11/1.66              = ( produc2007437005e_real @ A @ B ) )
% 3.11/1.66           => ( C4 @ A @ B ) )
% 3.11/1.66       => ( produc1629511198real_o @ C4 @ P2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_210_case__prodI,axiom,
% 3.11/1.66      ! [F3: ( char > real ) > ( char > real ) > $o,A2: char > real,B2: char > real] :
% 3.11/1.66        ( ( F3 @ A2 @ B2 )
% 3.11/1.66       => ( produc1655853874real_o @ F3 @ ( produc700235985r_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_211_case__prodI,axiom,
% 3.11/1.66      ! [F3: ( char > real > real ) > ( char > real > real ) > $o,A2: char > real > real,B2: char > real > real] :
% 3.11/1.66        ( ( F3 @ A2 @ B2 )
% 3.11/1.66       => ( produc1095814172real_o @ F3 @ ( produc686464615l_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_212_case__prodI,axiom,
% 3.11/1.66      ! [F3: ( char > real > $o ) > ( char > real > $o ) > $o,A2: char > real > $o,B2: char > real > $o] :
% 3.11/1.66        ( ( F3 @ A2 @ B2 )
% 3.11/1.66       => ( produc131289260al_o_o @ F3 @ ( produc1566957527real_o @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_213_case__prodI,axiom,
% 3.11/1.66      ! [F3: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o,A2: char > set_variable_real > set_variable_real,B2: char > real > $o] :
% 3.11/1.66        ( ( F3 @ A2 @ B2 )
% 3.11/1.66       => ( produc1467075094al_o_o @ F3 @ ( produc1285468373real_o @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_214_case__prodI,axiom,
% 3.11/1.66      ! [F3: ( char > set_variable_real > set_variable_real ) > ( char > set_variable_real > set_variable_real ) > $o,A2: char > set_variable_real > set_variable_real,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( F3 @ A2 @ B2 )
% 3.11/1.66       => ( produc143994420real_o @ F3 @ ( produc525232719e_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_215_case__prodI,axiom,
% 3.11/1.66      ! [F3: ( char > real ) > produc1020032539e_real > $o,A2: char > real,B2: produc1020032539e_real] :
% 3.11/1.66        ( ( F3 @ A2 @ B2 )
% 3.11/1.66       => ( produc569598981real_o @ F3 @ ( produc2125489830e_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_216_case__prodI,axiom,
% 3.11/1.66      ! [F3: ( char > real > real ) > produc104944723e_real > $o,A2: char > real > real,B2: produc104944723e_real] :
% 3.11/1.66        ( ( F3 @ A2 @ B2 )
% 3.11/1.66       => ( produc679978160real_o @ F3 @ ( produc141013715e_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_217_case__prodI,axiom,
% 3.11/1.66      ! [F3: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( F3 @ A2 @ B2 )
% 3.11/1.66       => ( produc1629511198real_o @ F3 @ ( produc2007437005e_real @ A2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_218_case__prodE,axiom,
% 3.11/1.66      ! [C4: ( char > real ) > produc1020032539e_real > $o,P2: produc1993135732e_real] :
% 3.11/1.66        ( ( produc569598981real_o @ C4 @ P2 )
% 3.11/1.66       => ~ ! [X3: char > real,Y3: produc1020032539e_real] :
% 3.11/1.66              ( ( P2
% 3.11/1.66                = ( produc2125489830e_real @ X3 @ Y3 ) )
% 3.11/1.66             => ~ ( C4 @ X3 @ Y3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_219_case__prodE,axiom,
% 3.11/1.66      ! [C4: ( char > real > real ) > produc104944723e_real > $o,P2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc679978160real_o @ C4 @ P2 )
% 3.11/1.66       => ~ ! [X3: char > real > real,Y3: produc104944723e_real] :
% 3.11/1.66              ( ( P2
% 3.11/1.66                = ( produc141013715e_real @ X3 @ Y3 ) )
% 3.11/1.66             => ~ ( C4 @ X3 @ Y3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_220_case__prodE,axiom,
% 3.11/1.66      ! [C4: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o,P2: produc104944723e_real] :
% 3.11/1.66        ( ( produc1629511198real_o @ C4 @ P2 )
% 3.11/1.66       => ~ ! [X3: char > real > $o,Y3: char > set_variable_real > set_variable_real] :
% 3.11/1.66              ( ( P2
% 3.11/1.66                = ( produc2007437005e_real @ X3 @ Y3 ) )
% 3.11/1.66             => ~ ( C4 @ X3 @ Y3 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_221_case__prodD,axiom,
% 3.11/1.66      ! [F3: ( char > real ) > produc1020032539e_real > $o,A2: char > real,B2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc569598981real_o @ F3 @ ( produc2125489830e_real @ A2 @ B2 ) )
% 3.11/1.66       => ( F3 @ A2 @ B2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_222_case__prodD,axiom,
% 3.11/1.66      ! [F3: ( char > real > real ) > produc104944723e_real > $o,A2: char > real > real,B2: produc104944723e_real] :
% 3.11/1.66        ( ( produc679978160real_o @ F3 @ ( produc141013715e_real @ A2 @ B2 ) )
% 3.11/1.66       => ( F3 @ A2 @ B2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_223_case__prodD,axiom,
% 3.11/1.66      ! [F3: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc1629511198real_o @ F3 @ ( produc2007437005e_real @ A2 @ B2 ) )
% 3.11/1.66       => ( F3 @ A2 @ B2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_224_Compr__image__eq,axiom,
% 3.11/1.66      ! [F3: ( variable > real ) > variable > real,A5: set_variable_real,P: ( variable > real ) > $o] :
% 3.11/1.66        ( ( collec633296133e_real
% 3.11/1.66          @ ^ [X4: variable > real] :
% 3.11/1.66              ( ( member_variable_real @ X4 @ ( image_1599134823e_real @ F3 @ A5 ) )
% 3.11/1.66              & ( P @ X4 ) ) )
% 3.11/1.66        = ( image_1599134823e_real @ F3
% 3.11/1.66          @ ( collec633296133e_real
% 3.11/1.66            @ ^ [X4: variable > real] :
% 3.11/1.66                ( ( member_variable_real @ X4 @ A5 )
% 3.11/1.66                & ( P @ ( F3 @ X4 ) ) ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_225_case__prod__Pair__iden,axiom,
% 3.11/1.66      ! [P2: produc1993135732e_real] :
% 3.11/1.66        ( ( produc315720647e_real @ produc2125489830e_real @ P2 )
% 3.11/1.66        = P2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_226_case__prod__Pair__iden,axiom,
% 3.11/1.66      ! [P2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc1202665267e_real @ produc141013715e_real @ P2 )
% 3.11/1.66        = P2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_227_case__prod__Pair__iden,axiom,
% 3.11/1.66      ! [P2: produc104944723e_real] :
% 3.11/1.66        ( ( produc1906464077e_real @ produc2007437005e_real @ P2 )
% 3.11/1.66        = P2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_228_SigmaI,axiom,
% 3.11/1.66      ! [A2: char > real,A5: set_char_real,B2: produc1020032539e_real,B5: ( char > real ) > set_Pr307567739e_real] :
% 3.11/1.66        ( ( member_char_real @ A2 @ A5 )
% 3.11/1.66       => ( ( member544802500e_real @ B2 @ ( B5 @ A2 ) )
% 3.11/1.66         => ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ ( produc34356277e_real @ A5 @ B5 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_229_SigmaI,axiom,
% 3.11/1.66      ! [A2: char > real > real,A5: set_char_real_real,B2: produc104944723e_real,B5: ( char > real > real ) > set_Pr268868489e_real] :
% 3.11/1.66        ( ( member312374654l_real @ A2 @ A5 )
% 3.11/1.66       => ( ( member1871517162e_real @ B2 @ ( B5 @ A2 ) )
% 3.11/1.66         => ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ ( produc522711812e_real @ A5 @ B5 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_230_SigmaI,axiom,
% 3.11/1.66      ! [A2: char > real > $o,A5: set_char_real_o,B2: char > set_variable_real > set_variable_real,B5: ( char > real > $o ) > set_ch845833233e_real] :
% 3.11/1.66        ( ( member_char_real_o @ A2 @ A5 )
% 3.11/1.66       => ( ( member2042895986e_real @ B2 @ ( B5 @ A2 ) )
% 3.11/1.66         => ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ ( produc1853244124e_real @ A5 @ B5 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_231_mem__Sigma__iff,axiom,
% 3.11/1.66      ! [A2: char > real,B2: produc1020032539e_real,A5: set_char_real,B5: ( char > real ) > set_Pr307567739e_real] :
% 3.11/1.66        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ ( produc34356277e_real @ A5 @ B5 ) )
% 3.11/1.66        = ( ( member_char_real @ A2 @ A5 )
% 3.11/1.66          & ( member544802500e_real @ B2 @ ( B5 @ A2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_232_mem__Sigma__iff,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: produc104944723e_real,A5: set_char_real_real,B5: ( char > real > real ) > set_Pr268868489e_real] :
% 3.11/1.66        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ ( produc522711812e_real @ A5 @ B5 ) )
% 3.11/1.66        = ( ( member312374654l_real @ A2 @ A5 )
% 3.11/1.66          & ( member1871517162e_real @ B2 @ ( B5 @ A2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_233_mem__Sigma__iff,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A5: set_char_real_o,B5: ( char > real > $o ) > set_ch845833233e_real] :
% 3.11/1.66        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ ( produc1853244124e_real @ A5 @ B5 ) )
% 3.11/1.66        = ( ( member_char_real_o @ A2 @ A5 )
% 3.11/1.66          & ( member2042895986e_real @ B2 @ ( B5 @ A2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_234_Collect__case__prod,axiom,
% 3.11/1.66      ! [P: ( variable > real ) > $o,Q: ( variable > real ) > $o] :
% 3.11/1.66        ( ( collec1042577836e_real
% 3.11/1.66          @ ( produc1299805450real_o
% 3.11/1.66            @ ^ [A4: variable > real,B4: variable > real] :
% 3.11/1.66                ( ( P @ A4 )
% 3.11/1.66                & ( Q @ B4 ) ) ) )
% 3.11/1.66        = ( produc979346218e_real @ ( collec633296133e_real @ P )
% 3.11/1.66          @ ^ [Uu: variable > real] : ( collec633296133e_real @ Q ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_235_SigmaE2,axiom,
% 3.11/1.66      ! [A2: char > real,B2: produc1020032539e_real,A5: set_char_real,B5: ( char > real ) > set_Pr307567739e_real] :
% 3.11/1.66        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ ( produc34356277e_real @ A5 @ B5 ) )
% 3.11/1.66       => ~ ( ( member_char_real @ A2 @ A5 )
% 3.11/1.66           => ~ ( member544802500e_real @ B2 @ ( B5 @ A2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_236_SigmaE2,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: produc104944723e_real,A5: set_char_real_real,B5: ( char > real > real ) > set_Pr268868489e_real] :
% 3.11/1.66        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ ( produc522711812e_real @ A5 @ B5 ) )
% 3.11/1.66       => ~ ( ( member312374654l_real @ A2 @ A5 )
% 3.11/1.66           => ~ ( member1871517162e_real @ B2 @ ( B5 @ A2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_237_SigmaE2,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A5: set_char_real_o,B5: ( char > real > $o ) > set_ch845833233e_real] :
% 3.11/1.66        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ ( produc1853244124e_real @ A5 @ B5 ) )
% 3.11/1.66       => ~ ( ( member_char_real_o @ A2 @ A5 )
% 3.11/1.66           => ~ ( member2042895986e_real @ B2 @ ( B5 @ A2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_238_SigmaD2,axiom,
% 3.11/1.66      ! [A2: char > real,B2: produc1020032539e_real,A5: set_char_real,B5: ( char > real ) > set_Pr307567739e_real] :
% 3.11/1.66        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ ( produc34356277e_real @ A5 @ B5 ) )
% 3.11/1.66       => ( member544802500e_real @ B2 @ ( B5 @ A2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_239_SigmaD2,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: produc104944723e_real,A5: set_char_real_real,B5: ( char > real > real ) > set_Pr268868489e_real] :
% 3.11/1.66        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ ( produc522711812e_real @ A5 @ B5 ) )
% 3.11/1.66       => ( member1871517162e_real @ B2 @ ( B5 @ A2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_240_SigmaD2,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A5: set_char_real_o,B5: ( char > real > $o ) > set_ch845833233e_real] :
% 3.11/1.66        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ ( produc1853244124e_real @ A5 @ B5 ) )
% 3.11/1.66       => ( member2042895986e_real @ B2 @ ( B5 @ A2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_241_SigmaD1,axiom,
% 3.11/1.66      ! [A2: char > real,B2: produc1020032539e_real,A5: set_char_real,B5: ( char > real ) > set_Pr307567739e_real] :
% 3.11/1.66        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ ( produc34356277e_real @ A5 @ B5 ) )
% 3.11/1.66       => ( member_char_real @ A2 @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_242_SigmaD1,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: produc104944723e_real,A5: set_char_real_real,B5: ( char > real > real ) > set_Pr268868489e_real] :
% 3.11/1.66        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ ( produc522711812e_real @ A5 @ B5 ) )
% 3.11/1.66       => ( member312374654l_real @ A2 @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_243_SigmaD1,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A5: set_char_real_o,B5: ( char > real > $o ) > set_ch845833233e_real] :
% 3.11/1.66        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ ( produc1853244124e_real @ A5 @ B5 ) )
% 3.11/1.66       => ( member_char_real_o @ A2 @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_244_SigmaE,axiom,
% 3.11/1.66      ! [C4: produc1993135732e_real,A5: set_char_real,B5: ( char > real ) > set_Pr307567739e_real] :
% 3.11/1.66        ( ( member1491807627e_real @ C4 @ ( produc34356277e_real @ A5 @ B5 ) )
% 3.11/1.66       => ~ ! [X3: char > real] :
% 3.11/1.66              ( ( member_char_real @ X3 @ A5 )
% 3.11/1.66             => ! [Y3: produc1020032539e_real] :
% 3.11/1.66                  ( ( member544802500e_real @ Y3 @ ( B5 @ X3 ) )
% 3.11/1.66                 => ( C4
% 3.11/1.66                   != ( produc2125489830e_real @ X3 @ Y3 ) ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_245_SigmaE,axiom,
% 3.11/1.66      ! [C4: produc1020032539e_real,A5: set_char_real_real,B5: ( char > real > real ) > set_Pr268868489e_real] :
% 3.11/1.66        ( ( member544802500e_real @ C4 @ ( produc522711812e_real @ A5 @ B5 ) )
% 3.11/1.66       => ~ ! [X3: char > real > real] :
% 3.11/1.66              ( ( member312374654l_real @ X3 @ A5 )
% 3.11/1.66             => ! [Y3: produc104944723e_real] :
% 3.11/1.66                  ( ( member1871517162e_real @ Y3 @ ( B5 @ X3 ) )
% 3.11/1.66                 => ( C4
% 3.11/1.66                   != ( produc141013715e_real @ X3 @ Y3 ) ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_246_SigmaE,axiom,
% 3.11/1.66      ! [C4: produc104944723e_real,A5: set_char_real_o,B5: ( char > real > $o ) > set_ch845833233e_real] :
% 3.11/1.66        ( ( member1871517162e_real @ C4 @ ( produc1853244124e_real @ A5 @ B5 ) )
% 3.11/1.66       => ~ ! [X3: char > real > $o] :
% 3.11/1.66              ( ( member_char_real_o @ X3 @ A5 )
% 3.11/1.66             => ! [Y3: char > set_variable_real > set_variable_real] :
% 3.11/1.66                  ( ( member2042895986e_real @ Y3 @ ( B5 @ X3 ) )
% 3.11/1.66                 => ( C4
% 3.11/1.66                   != ( produc2007437005e_real @ X3 @ Y3 ) ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_247_UNIV__def,axiom,
% 3.11/1.66      ( top_to239690646e_real
% 3.11/1.66      = ( collec633296133e_real
% 3.11/1.66        @ ^ [X4: variable > real] : $true ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_248_Collect__case__prod__Sigma,axiom,
% 3.11/1.66      ! [P: ( variable > real ) > $o,Q: ( variable > real ) > ( variable > real ) > $o] :
% 3.11/1.66        ( ( collec1042577836e_real
% 3.11/1.66          @ ( produc1299805450real_o
% 3.11/1.66            @ ^ [X4: variable > real,Y4: variable > real] :
% 3.11/1.66                ( ( P @ X4 )
% 3.11/1.66                & ( Q @ X4 @ Y4 ) ) ) )
% 3.11/1.66        = ( produc979346218e_real @ ( collec633296133e_real @ P )
% 3.11/1.66          @ ^ [X4: variable > real] : ( collec633296133e_real @ ( Q @ X4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_249_swap__product,axiom,
% 3.11/1.66      ! [A5: set_Pr307567739e_real,B5: set_char_real] :
% 3.11/1.66        ( ( image_152725217e_real
% 3.11/1.66          @ ( produc864726913e_real
% 3.11/1.66            @ ^ [I3: produc1020032539e_real,J2: char > real] : ( produc2125489830e_real @ J2 @ I3 ) )
% 3.11/1.66          @ ( produc1373880559r_real @ A5
% 3.11/1.66            @ ^ [Uu: produc1020032539e_real] : B5 ) )
% 3.11/1.66        = ( produc34356277e_real @ B5
% 3.11/1.66          @ ^ [Uu: char > real] : A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_250_swap__product,axiom,
% 3.11/1.66      ! [A5: set_Pr268868489e_real,B5: set_char_real_real] :
% 3.11/1.66        ( ( image_711552709e_real
% 3.11/1.66          @ ( produc991789875e_real
% 3.11/1.66            @ ^ [I3: produc104944723e_real,J2: char > real > real] : ( produc141013715e_real @ J2 @ I3 ) )
% 3.11/1.66          @ ( produc1435543300l_real @ A5
% 3.11/1.66            @ ^ [Uu: produc104944723e_real] : B5 ) )
% 3.11/1.66        = ( produc522711812e_real @ B5
% 3.11/1.66          @ ^ [Uu: char > real > real] : A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_251_swap__product,axiom,
% 3.11/1.66      ! [A5: set_ch845833233e_real,B5: set_char_real_o] :
% 3.11/1.66        ( ( image_2028344445e_real
% 3.11/1.66          @ ( produc1116016469e_real
% 3.11/1.66            @ ^ [I3: char > set_variable_real > set_variable_real,J2: char > real > $o] : ( produc2007437005e_real @ J2 @ I3 ) )
% 3.11/1.66          @ ( produc1131275492real_o @ A5
% 3.11/1.66            @ ^ [Uu: char > set_variable_real > set_variable_real] : B5 ) )
% 3.11/1.66        = ( produc1853244124e_real @ B5
% 3.11/1.66          @ ^ [Uu: char > real > $o] : A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_252_same__fstI,axiom,
% 3.11/1.66      ! [P: ( char > real ) > $o,X: char > real,Y6: produc1020032539e_real,Y: produc1020032539e_real,R: ( char > real ) > set_Pr1517071815e_real] :
% 3.11/1.66        ( ( P @ X )
% 3.11/1.66       => ( ( member1778419728e_real @ ( produc680410711e_real @ Y6 @ Y ) @ ( R @ X ) )
% 3.11/1.66         => ( member1966130802e_real @ ( produc638505729e_real @ ( produc2125489830e_real @ X @ Y6 ) @ ( produc2125489830e_real @ X @ Y ) ) @ ( same_f764716049e_real @ P @ R ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_253_same__fstI,axiom,
% 3.11/1.66      ! [P: ( char > real > real ) > $o,X: char > real > real,Y6: produc104944723e_real,Y: produc104944723e_real,R: ( char > real > real ) > set_Pr521705191e_real] :
% 3.11/1.66        ( ( P @ X )
% 3.11/1.66       => ( ( member2016544560e_real @ ( produc1957227327e_real @ Y6 @ Y ) @ ( R @ X ) )
% 3.11/1.66         => ( member1778419728e_real @ ( produc680410711e_real @ ( produc141013715e_real @ X @ Y6 ) @ ( produc141013715e_real @ X @ Y ) ) @ ( same_f1243548200e_real @ P @ R ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_254_same__fstI,axiom,
% 3.11/1.66      ! [P: ( char > real > $o ) > $o,X: char > real > $o,Y6: char > set_variable_real > set_variable_real,Y: char > set_variable_real > set_variable_real,R: ( char > real > $o ) > set_Pr1588228599e_real] :
% 3.11/1.66        ( ( P @ X )
% 3.11/1.66       => ( ( member625963584e_real @ ( produc525232719e_real @ Y6 @ Y ) @ ( R @ X ) )
% 3.11/1.66         => ( member2016544560e_real @ ( produc1957227327e_real @ ( produc2007437005e_real @ X @ Y6 ) @ ( produc2007437005e_real @ X @ Y ) ) @ ( same_f1185518776e_real @ P @ R ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_255_map__prod__simp,axiom,
% 3.11/1.66      ! [F3: ( char > real ) > char > real,G2: produc1020032539e_real > produc1020032539e_real,A2: char > real,B2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc552964208e_real @ F3 @ G2 @ ( produc2125489830e_real @ A2 @ B2 ) )
% 3.11/1.66        = ( produc2125489830e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_256_map__prod__simp,axiom,
% 3.11/1.66      ! [F3: ( char > real ) > char > real > real,G2: produc1020032539e_real > produc104944723e_real,A2: char > real,B2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc202772275e_real @ F3 @ G2 @ ( produc2125489830e_real @ A2 @ B2 ) )
% 3.11/1.66        = ( produc141013715e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_257_map__prod__simp,axiom,
% 3.11/1.66      ! [F3: ( char > real ) > char > real > $o,G2: produc1020032539e_real > char > set_variable_real > set_variable_real,A2: char > real,B2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc1797673857e_real @ F3 @ G2 @ ( produc2125489830e_real @ A2 @ B2 ) )
% 3.11/1.66        = ( produc2007437005e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_258_map__prod__simp,axiom,
% 3.11/1.66      ! [F3: ( char > real > real ) > char > real,G2: produc104944723e_real > produc1020032539e_real,A2: char > real > real,B2: produc104944723e_real] :
% 3.11/1.66        ( ( produc348783435e_real @ F3 @ G2 @ ( produc141013715e_real @ A2 @ B2 ) )
% 3.11/1.66        = ( produc2125489830e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_259_map__prod__simp,axiom,
% 3.11/1.66      ! [F3: ( char > real > real ) > char > real > real,G2: produc104944723e_real > produc104944723e_real,A2: char > real > real,B2: produc104944723e_real] :
% 3.11/1.66        ( ( produc2131385966e_real @ F3 @ G2 @ ( produc141013715e_real @ A2 @ B2 ) )
% 3.11/1.66        = ( produc141013715e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_260_map__prod__simp,axiom,
% 3.11/1.66      ! [F3: ( char > real > real ) > char > real > $o,G2: produc104944723e_real > char > set_variable_real > set_variable_real,A2: char > real > real,B2: produc104944723e_real] :
% 3.11/1.66        ( ( produc683016410e_real @ F3 @ G2 @ ( produc141013715e_real @ A2 @ B2 ) )
% 3.11/1.66        = ( produc2007437005e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_261_map__prod__simp,axiom,
% 3.11/1.66      ! [F3: ( char > real > $o ) > char > real,G2: ( char > set_variable_real > set_variable_real ) > produc1020032539e_real,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc1251731407e_real @ F3 @ G2 @ ( produc2007437005e_real @ A2 @ B2 ) )
% 3.11/1.66        = ( produc2125489830e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_262_map__prod__simp,axiom,
% 3.11/1.66      ! [F3: ( char > real > $o ) > char > real > real,G2: ( char > set_variable_real > set_variable_real ) > produc104944723e_real,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc753666538e_real @ F3 @ G2 @ ( produc2007437005e_real @ A2 @ B2 ) )
% 3.11/1.66        = ( produc141013715e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_263_map__prod__simp,axiom,
% 3.11/1.66      ! [F3: ( char > real > $o ) > char > real > $o,G2: ( char > set_variable_real > set_variable_real ) > char > set_variable_real > set_variable_real,A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc355430254e_real @ F3 @ G2 @ ( produc2007437005e_real @ A2 @ B2 ) )
% 3.11/1.66        = ( produc2007437005e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_264_map__prod__imageI,axiom,
% 3.11/1.66      ! [A2: char > real,B2: produc1020032539e_real,R: set_Pr397354154e_real,F3: ( char > real ) > char > real,G2: produc1020032539e_real > produc1020032539e_real] :
% 3.11/1.66        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ R )
% 3.11/1.66       => ( member1491807627e_real @ ( produc2125489830e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_866442351e_real @ ( produc552964208e_real @ F3 @ G2 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_265_map__prod__imageI,axiom,
% 3.11/1.66      ! [A2: char > real,B2: produc1020032539e_real,R: set_Pr397354154e_real,F3: ( char > real ) > char > real > real,G2: produc1020032539e_real > produc104944723e_real] :
% 3.11/1.66        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ R )
% 3.11/1.66       => ( member544802500e_real @ ( produc141013715e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_479987936e_real @ ( produc202772275e_real @ F3 @ G2 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_266_map__prod__imageI,axiom,
% 3.11/1.66      ! [A2: char > real,B2: produc1020032539e_real,R: set_Pr397354154e_real,F3: ( char > real ) > char > real > $o,G2: produc1020032539e_real > char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( member1491807627e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ R )
% 3.11/1.66       => ( member1871517162e_real @ ( produc2007437005e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_426244814e_real @ ( produc1797673857e_real @ F3 @ G2 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_267_map__prod__imageI,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: produc104944723e_real,R: set_Pr307567739e_real,F3: ( char > real > real ) > char > real,G2: produc104944723e_real > produc1020032539e_real] :
% 3.11/1.66        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ R )
% 3.11/1.66       => ( member1491807627e_real @ ( produc2125489830e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_1698073930e_real @ ( produc348783435e_real @ F3 @ G2 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_268_map__prod__imageI,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: produc104944723e_real,R: set_Pr307567739e_real,F3: ( char > real > real ) > char > real > real,G2: produc104944723e_real > produc104944723e_real] :
% 3.11/1.66        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ R )
% 3.11/1.66       => ( member544802500e_real @ ( produc141013715e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_1823533253e_real @ ( produc2131385966e_real @ F3 @ G2 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_269_map__prod__imageI,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: produc104944723e_real,R: set_Pr307567739e_real,F3: ( char > real > real ) > char > real > $o,G2: produc104944723e_real > char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( member544802500e_real @ ( produc141013715e_real @ A2 @ B2 ) @ R )
% 3.11/1.66       => ( member1871517162e_real @ ( produc2007437005e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_450993193e_real @ ( produc683016410e_real @ F3 @ G2 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_270_map__prod__imageI,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,R: set_Pr268868489e_real,F3: ( char > real > $o ) > char > real,G2: ( char > set_variable_real > set_variable_real ) > produc1020032539e_real] :
% 3.11/1.66        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ R )
% 3.11/1.66       => ( member1491807627e_real @ ( produc2125489830e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_300296654e_real @ ( produc1251731407e_real @ F3 @ G2 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_271_map__prod__imageI,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,R: set_Pr268868489e_real,F3: ( char > real > $o ) > char > real > real,G2: ( char > set_variable_real > set_variable_real ) > produc104944723e_real] :
% 3.11/1.66        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ R )
% 3.11/1.66       => ( member544802500e_real @ ( produc141013715e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_1739334977e_real @ ( produc753666538e_real @ F3 @ G2 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_272_map__prod__imageI,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,R: set_Pr268868489e_real,F3: ( char > real > $o ) > char > real > $o,G2: ( char > set_variable_real > set_variable_real ) > char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( member1871517162e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ R )
% 3.11/1.66       => ( member1871517162e_real @ ( produc2007437005e_real @ ( F3 @ A2 ) @ ( G2 @ B2 ) ) @ ( image_670686893e_real @ ( produc355430254e_real @ F3 @ G2 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_273_in__lex__prod,axiom,
% 3.11/1.66      ! [A2: char > real,B2: produc1020032539e_real,A3: char > real,B3: produc1020032539e_real,R2: set_Pr42335993r_real,S2: set_Pr1517071815e_real] :
% 3.11/1.66        ( ( member1966130802e_real @ ( produc638505729e_real @ ( produc2125489830e_real @ A2 @ B2 ) @ ( produc2125489830e_real @ A3 @ B3 ) ) @ ( lex_pr1793499278e_real @ R2 @ S2 ) )
% 3.11/1.66        = ( ( member1086859330r_real @ ( produc700235985r_real @ A2 @ A3 ) @ R2 )
% 3.11/1.66          | ( ( A2 = A3 )
% 3.11/1.66            & ( member1778419728e_real @ ( produc680410711e_real @ B2 @ B3 ) @ S2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_274_in__lex__prod,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: produc104944723e_real,A3: char > real > real,B3: produc104944723e_real,R2: set_Pr1919093775l_real,S2: set_Pr521705191e_real] :
% 3.11/1.66        ( ( member1778419728e_real @ ( produc680410711e_real @ ( produc141013715e_real @ A2 @ B2 ) @ ( produc141013715e_real @ A3 @ B3 ) ) @ ( lex_pr592421611e_real @ R2 @ S2 ) )
% 3.11/1.66        = ( ( member1801875544l_real @ ( produc686464615l_real @ A2 @ A3 ) @ R2 )
% 3.11/1.66          | ( ( A2 = A3 )
% 3.11/1.66            & ( member2016544560e_real @ ( produc1957227327e_real @ B2 @ B3 ) @ S2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_275_in__lex__prod,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real,A3: char > real > $o,B3: char > set_variable_real > set_variable_real,R2: set_Pr1053253703real_o,S2: set_Pr1588228599e_real] :
% 3.11/1.66        ( ( member2016544560e_real @ ( produc1957227327e_real @ ( produc2007437005e_real @ A2 @ B2 ) @ ( produc2007437005e_real @ A3 @ B3 ) ) @ ( lex_pr2056840373e_real @ R2 @ S2 ) )
% 3.11/1.66        = ( ( member1795186320real_o @ ( produc1566957527real_o @ A2 @ A3 ) @ R2 )
% 3.11/1.66          | ( ( A2 = A3 )
% 3.11/1.66            & ( member625963584e_real @ ( produc525232719e_real @ B2 @ B3 ) @ S2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_276_prod__fun__imageE,axiom,
% 3.11/1.66      ! [C4: produc1993135732e_real,F3: ( char > real ) > char > real,G2: produc1020032539e_real > produc1020032539e_real,R: set_Pr397354154e_real] :
% 3.11/1.66        ( ( member1491807627e_real @ C4 @ ( image_866442351e_real @ ( produc552964208e_real @ F3 @ G2 ) @ R ) )
% 3.11/1.66       => ~ ! [X3: char > real,Y3: produc1020032539e_real] :
% 3.11/1.66              ( ( C4
% 3.11/1.66                = ( produc2125489830e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 3.11/1.66             => ~ ( member1491807627e_real @ ( produc2125489830e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_277_prod__fun__imageE,axiom,
% 3.11/1.66      ! [C4: produc1993135732e_real,F3: ( char > real > real ) > char > real,G2: produc104944723e_real > produc1020032539e_real,R: set_Pr307567739e_real] :
% 3.11/1.66        ( ( member1491807627e_real @ C4 @ ( image_1698073930e_real @ ( produc348783435e_real @ F3 @ G2 ) @ R ) )
% 3.11/1.66       => ~ ! [X3: char > real > real,Y3: produc104944723e_real] :
% 3.11/1.66              ( ( C4
% 3.11/1.66                = ( produc2125489830e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 3.11/1.66             => ~ ( member544802500e_real @ ( produc141013715e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_278_prod__fun__imageE,axiom,
% 3.11/1.66      ! [C4: produc1993135732e_real,F3: ( char > real > $o ) > char > real,G2: ( char > set_variable_real > set_variable_real ) > produc1020032539e_real,R: set_Pr268868489e_real] :
% 3.11/1.66        ( ( member1491807627e_real @ C4 @ ( image_300296654e_real @ ( produc1251731407e_real @ F3 @ G2 ) @ R ) )
% 3.11/1.66       => ~ ! [X3: char > real > $o,Y3: char > set_variable_real > set_variable_real] :
% 3.11/1.66              ( ( C4
% 3.11/1.66                = ( produc2125489830e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 3.11/1.66             => ~ ( member1871517162e_real @ ( produc2007437005e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_279_prod__fun__imageE,axiom,
% 3.11/1.66      ! [C4: produc1020032539e_real,F3: ( char > real ) > char > real > real,G2: produc1020032539e_real > produc104944723e_real,R: set_Pr397354154e_real] :
% 3.11/1.66        ( ( member544802500e_real @ C4 @ ( image_479987936e_real @ ( produc202772275e_real @ F3 @ G2 ) @ R ) )
% 3.11/1.66       => ~ ! [X3: char > real,Y3: produc1020032539e_real] :
% 3.11/1.66              ( ( C4
% 3.11/1.66                = ( produc141013715e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 3.11/1.66             => ~ ( member1491807627e_real @ ( produc2125489830e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_280_prod__fun__imageE,axiom,
% 3.11/1.66      ! [C4: produc1020032539e_real,F3: ( char > real > real ) > char > real > real,G2: produc104944723e_real > produc104944723e_real,R: set_Pr307567739e_real] :
% 3.11/1.66        ( ( member544802500e_real @ C4 @ ( image_1823533253e_real @ ( produc2131385966e_real @ F3 @ G2 ) @ R ) )
% 3.11/1.66       => ~ ! [X3: char > real > real,Y3: produc104944723e_real] :
% 3.11/1.66              ( ( C4
% 3.11/1.66                = ( produc141013715e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 3.11/1.66             => ~ ( member544802500e_real @ ( produc141013715e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_281_prod__fun__imageE,axiom,
% 3.11/1.66      ! [C4: produc1020032539e_real,F3: ( char > real > $o ) > char > real > real,G2: ( char > set_variable_real > set_variable_real ) > produc104944723e_real,R: set_Pr268868489e_real] :
% 3.11/1.66        ( ( member544802500e_real @ C4 @ ( image_1739334977e_real @ ( produc753666538e_real @ F3 @ G2 ) @ R ) )
% 3.11/1.66       => ~ ! [X3: char > real > $o,Y3: char > set_variable_real > set_variable_real] :
% 3.11/1.66              ( ( C4
% 3.11/1.66                = ( produc141013715e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 3.11/1.66             => ~ ( member1871517162e_real @ ( produc2007437005e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_282_prod__fun__imageE,axiom,
% 3.11/1.66      ! [C4: produc104944723e_real,F3: ( char > real ) > char > real > $o,G2: produc1020032539e_real > char > set_variable_real > set_variable_real,R: set_Pr397354154e_real] :
% 3.11/1.66        ( ( member1871517162e_real @ C4 @ ( image_426244814e_real @ ( produc1797673857e_real @ F3 @ G2 ) @ R ) )
% 3.11/1.66       => ~ ! [X3: char > real,Y3: produc1020032539e_real] :
% 3.11/1.66              ( ( C4
% 3.11/1.66                = ( produc2007437005e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 3.11/1.66             => ~ ( member1491807627e_real @ ( produc2125489830e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_283_prod__fun__imageE,axiom,
% 3.11/1.66      ! [C4: produc104944723e_real,F3: ( char > real > real ) > char > real > $o,G2: produc104944723e_real > char > set_variable_real > set_variable_real,R: set_Pr307567739e_real] :
% 3.11/1.66        ( ( member1871517162e_real @ C4 @ ( image_450993193e_real @ ( produc683016410e_real @ F3 @ G2 ) @ R ) )
% 3.11/1.66       => ~ ! [X3: char > real > real,Y3: produc104944723e_real] :
% 3.11/1.66              ( ( C4
% 3.11/1.66                = ( produc2007437005e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 3.11/1.66             => ~ ( member544802500e_real @ ( produc141013715e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_284_prod__fun__imageE,axiom,
% 3.11/1.66      ! [C4: produc104944723e_real,F3: ( char > real > $o ) > char > real > $o,G2: ( char > set_variable_real > set_variable_real ) > char > set_variable_real > set_variable_real,R: set_Pr268868489e_real] :
% 3.11/1.66        ( ( member1871517162e_real @ C4 @ ( image_670686893e_real @ ( produc355430254e_real @ F3 @ G2 ) @ R ) )
% 3.11/1.66       => ~ ! [X3: char > real > $o,Y3: char > set_variable_real > set_variable_real] :
% 3.11/1.66              ( ( C4
% 3.11/1.66                = ( produc2007437005e_real @ ( F3 @ X3 ) @ ( G2 @ Y3 ) ) )
% 3.11/1.66             => ~ ( member1871517162e_real @ ( produc2007437005e_real @ X3 @ Y3 ) @ R ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_285_empty__Collect__eq,axiom,
% 3.11/1.66      ! [P: ( variable > real ) > $o] :
% 3.11/1.66        ( ( bot_bo721182586e_real
% 3.11/1.66          = ( collec633296133e_real @ P ) )
% 3.11/1.66        = ( ! [X4: variable > real] :
% 3.11/1.66              ~ ( P @ X4 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_286_Collect__empty__eq,axiom,
% 3.11/1.66      ! [P: ( variable > real ) > $o] :
% 3.11/1.66        ( ( ( collec633296133e_real @ P )
% 3.11/1.66          = bot_bo721182586e_real )
% 3.11/1.66        = ( ! [X4: variable > real] :
% 3.11/1.66              ~ ( P @ X4 ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_287_Collect__const,axiom,
% 3.11/1.66      ! [P: $o] :
% 3.11/1.66        ( ( P
% 3.11/1.66         => ( ( collec633296133e_real
% 3.11/1.66              @ ^ [S4: variable > real] : P )
% 3.11/1.66            = top_to239690646e_real ) )
% 3.11/1.66        & ( ~ P
% 3.11/1.66         => ( ( collec633296133e_real
% 3.11/1.66              @ ^ [S4: variable > real] : P )
% 3.11/1.66            = bot_bo721182586e_real ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_288_prod_Ocollapse,axiom,
% 3.11/1.66      ! [Prod: produc1993135732e_real] :
% 3.11/1.66        ( ( produc2125489830e_real @ ( produc1146879930e_real @ Prod ) @ ( produc1176159992e_real @ Prod ) )
% 3.11/1.66        = Prod ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_289_prod_Ocollapse,axiom,
% 3.11/1.66      ! [Prod: produc1020032539e_real] :
% 3.11/1.66        ( ( produc141013715e_real @ ( produc634910399e_real @ Prod ) @ ( produc1179001601e_real @ Prod ) )
% 3.11/1.66        = Prod ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_290_prod_Ocollapse,axiom,
% 3.11/1.66      ! [Prod: produc104944723e_real] :
% 3.11/1.66        ( ( produc2007437005e_real @ ( produc1486464481e_real @ Prod ) @ ( produc504912415e_real @ Prod ) )
% 3.11/1.66        = Prod ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_291_empty__def,axiom,
% 3.11/1.66      ( bot_bo721182586e_real
% 3.11/1.66      = ( collec633296133e_real
% 3.11/1.66        @ ^ [X4: variable > real] : $false ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_292_surjective__pairing,axiom,
% 3.11/1.66      ! [T: produc1993135732e_real] :
% 3.11/1.66        ( T
% 3.11/1.66        = ( produc2125489830e_real @ ( produc1146879930e_real @ T ) @ ( produc1176159992e_real @ T ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_293_surjective__pairing,axiom,
% 3.11/1.66      ! [T: produc1020032539e_real] :
% 3.11/1.66        ( T
% 3.11/1.66        = ( produc141013715e_real @ ( produc634910399e_real @ T ) @ ( produc1179001601e_real @ T ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_294_surjective__pairing,axiom,
% 3.11/1.66      ! [T: produc104944723e_real] :
% 3.11/1.66        ( T
% 3.11/1.66        = ( produc2007437005e_real @ ( produc1486464481e_real @ T ) @ ( produc504912415e_real @ T ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_295_prod_Oexhaust__sel,axiom,
% 3.11/1.66      ! [Prod: produc1993135732e_real] :
% 3.11/1.66        ( Prod
% 3.11/1.66        = ( produc2125489830e_real @ ( produc1146879930e_real @ Prod ) @ ( produc1176159992e_real @ Prod ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_296_prod_Oexhaust__sel,axiom,
% 3.11/1.66      ! [Prod: produc1020032539e_real] :
% 3.11/1.66        ( Prod
% 3.11/1.66        = ( produc141013715e_real @ ( produc634910399e_real @ Prod ) @ ( produc1179001601e_real @ Prod ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_297_prod_Oexhaust__sel,axiom,
% 3.11/1.66      ! [Prod: produc104944723e_real] :
% 3.11/1.66        ( Prod
% 3.11/1.66        = ( produc2007437005e_real @ ( produc1486464481e_real @ Prod ) @ ( produc504912415e_real @ Prod ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_298_prod_Oswap__def,axiom,
% 3.11/1.66      ( produc918320576r_real
% 3.11/1.66      = ( ^ [P3: produc2139219430r_real] : ( produc2125489830e_real @ ( produc368200626r_real @ P3 ) @ ( produc338920564r_real @ P3 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_299_prod_Oswap__def,axiom,
% 3.11/1.66      ( produc1778103411l_real
% 3.11/1.66      = ( ^ [P3: produc729247771l_real] : ( produc141013715e_real @ ( produc2091833089l_real @ P3 ) @ ( produc1547741887l_real @ P3 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_300_prod_Oswap__def,axiom,
% 3.11/1.66      ( produc192924469real_o
% 3.11/1.66      = ( ^ [P3: produc1606031907real_o] : ( produc2007437005e_real @ ( produc1930427431real_o @ P3 ) @ ( produc764495849real_o @ P3 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_301_snd__conv,axiom,
% 3.11/1.66      ! [X1: char > real,X2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc1176159992e_real @ ( produc2125489830e_real @ X1 @ X2 ) )
% 3.11/1.66        = X2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_302_snd__conv,axiom,
% 3.11/1.66      ! [X1: char > real > real,X2: produc104944723e_real] :
% 3.11/1.66        ( ( produc1179001601e_real @ ( produc141013715e_real @ X1 @ X2 ) )
% 3.11/1.66        = X2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_303_snd__conv,axiom,
% 3.11/1.66      ! [X1: char > real > $o,X2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc504912415e_real @ ( produc2007437005e_real @ X1 @ X2 ) )
% 3.11/1.66        = X2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_304_snd__eqD,axiom,
% 3.11/1.66      ! [X: char > real,Y: produc1020032539e_real,A2: produc1020032539e_real] :
% 3.11/1.66        ( ( ( produc1176159992e_real @ ( produc2125489830e_real @ X @ Y ) )
% 3.11/1.66          = A2 )
% 3.11/1.66       => ( Y = A2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_305_snd__eqD,axiom,
% 3.11/1.66      ! [X: char > real > real,Y: produc104944723e_real,A2: produc104944723e_real] :
% 3.11/1.66        ( ( ( produc1179001601e_real @ ( produc141013715e_real @ X @ Y ) )
% 3.11/1.66          = A2 )
% 3.11/1.66       => ( Y = A2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_306_snd__eqD,axiom,
% 3.11/1.66      ! [X: char > real > $o,Y: char > set_variable_real > set_variable_real,A2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( ( produc504912415e_real @ ( produc2007437005e_real @ X @ Y ) )
% 3.11/1.66          = A2 )
% 3.11/1.66       => ( Y = A2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_307_snd__pair,axiom,
% 3.11/1.66      ! [A2: char > real,B2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc1176159992e_real @ ( produc2125489830e_real @ A2 @ B2 ) )
% 3.11/1.66        = B2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_308_snd__pair,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: produc104944723e_real] :
% 3.11/1.66        ( ( produc1179001601e_real @ ( produc141013715e_real @ A2 @ B2 ) )
% 3.11/1.66        = B2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_309_snd__pair,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc504912415e_real @ ( produc2007437005e_real @ A2 @ B2 ) )
% 3.11/1.66        = B2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_310_fst__conv,axiom,
% 3.11/1.66      ! [X1: char > real,X2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc1146879930e_real @ ( produc2125489830e_real @ X1 @ X2 ) )
% 3.11/1.66        = X1 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_311_fst__conv,axiom,
% 3.11/1.66      ! [X1: char > real > real,X2: produc104944723e_real] :
% 3.11/1.66        ( ( produc634910399e_real @ ( produc141013715e_real @ X1 @ X2 ) )
% 3.11/1.66        = X1 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_312_fst__conv,axiom,
% 3.11/1.66      ! [X1: char > real > $o,X2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc1486464481e_real @ ( produc2007437005e_real @ X1 @ X2 ) )
% 3.11/1.66        = X1 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_313_fst__eqD,axiom,
% 3.11/1.66      ! [X: char > real,Y: produc1020032539e_real,A2: char > real] :
% 3.11/1.66        ( ( ( produc1146879930e_real @ ( produc2125489830e_real @ X @ Y ) )
% 3.11/1.66          = A2 )
% 3.11/1.66       => ( X = A2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_314_fst__eqD,axiom,
% 3.11/1.66      ! [X: char > real > real,Y: produc104944723e_real,A2: char > real > real] :
% 3.11/1.66        ( ( ( produc634910399e_real @ ( produc141013715e_real @ X @ Y ) )
% 3.11/1.66          = A2 )
% 3.11/1.66       => ( X = A2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_315_fst__eqD,axiom,
% 3.11/1.66      ! [X: char > real > $o,Y: char > set_variable_real > set_variable_real,A2: char > real > $o] :
% 3.11/1.66        ( ( ( produc1486464481e_real @ ( produc2007437005e_real @ X @ Y ) )
% 3.11/1.66          = A2 )
% 3.11/1.66       => ( X = A2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_316_fst__pair,axiom,
% 3.11/1.66      ! [A2: char > real,B2: produc1020032539e_real] :
% 3.11/1.66        ( ( produc1146879930e_real @ ( produc2125489830e_real @ A2 @ B2 ) )
% 3.11/1.66        = A2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_317_fst__pair,axiom,
% 3.11/1.66      ! [A2: char > real > real,B2: produc104944723e_real] :
% 3.11/1.66        ( ( produc634910399e_real @ ( produc141013715e_real @ A2 @ B2 ) )
% 3.11/1.66        = A2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_318_fst__pair,axiom,
% 3.11/1.66      ! [A2: char > real > $o,B2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( produc1486464481e_real @ ( produc2007437005e_real @ A2 @ B2 ) )
% 3.11/1.66        = A2 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_319_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 3.11/1.66      ! [P: ( char > real ) > produc1020032539e_real > $o,X: char > real,Y: produc1020032539e_real,A2: produc1993135732e_real] :
% 3.11/1.66        ( ( P @ X @ Y )
% 3.11/1.66       => ( ( A2
% 3.11/1.66            = ( produc2125489830e_real @ X @ Y ) )
% 3.11/1.66         => ( P @ ( produc1146879930e_real @ A2 ) @ ( produc1176159992e_real @ A2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_320_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 3.11/1.66      ! [P: ( char > real > real ) > produc104944723e_real > $o,X: char > real > real,Y: produc104944723e_real,A2: produc1020032539e_real] :
% 3.11/1.66        ( ( P @ X @ Y )
% 3.11/1.66       => ( ( A2
% 3.11/1.66            = ( produc141013715e_real @ X @ Y ) )
% 3.11/1.66         => ( P @ ( produc634910399e_real @ A2 ) @ ( produc1179001601e_real @ A2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_321_BNF__Greatest__Fixpoint_Osubst__Pair,axiom,
% 3.11/1.66      ! [P: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > $o,X: char > real > $o,Y: char > set_variable_real > set_variable_real,A2: produc104944723e_real] :
% 3.11/1.66        ( ( P @ X @ Y )
% 3.11/1.66       => ( ( A2
% 3.11/1.66            = ( produc2007437005e_real @ X @ Y ) )
% 3.11/1.66         => ( P @ ( produc1486464481e_real @ A2 ) @ ( produc504912415e_real @ A2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_322_conjI__realizer,axiom,
% 3.11/1.66      ! [P: ( char > real ) > $o,P2: char > real,Q: produc1020032539e_real > $o,Q2: produc1020032539e_real] :
% 3.11/1.66        ( ( P @ P2 )
% 3.11/1.66       => ( ( Q @ Q2 )
% 3.11/1.66         => ( ( P @ ( produc1146879930e_real @ ( produc2125489830e_real @ P2 @ Q2 ) ) )
% 3.11/1.66            & ( Q @ ( produc1176159992e_real @ ( produc2125489830e_real @ P2 @ Q2 ) ) ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_323_conjI__realizer,axiom,
% 3.11/1.66      ! [P: ( char > real > real ) > $o,P2: char > real > real,Q: produc104944723e_real > $o,Q2: produc104944723e_real] :
% 3.11/1.66        ( ( P @ P2 )
% 3.11/1.66       => ( ( Q @ Q2 )
% 3.11/1.66         => ( ( P @ ( produc634910399e_real @ ( produc141013715e_real @ P2 @ Q2 ) ) )
% 3.11/1.66            & ( Q @ ( produc1179001601e_real @ ( produc141013715e_real @ P2 @ Q2 ) ) ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_324_conjI__realizer,axiom,
% 3.11/1.66      ! [P: ( char > real > $o ) > $o,P2: char > real > $o,Q: ( char > set_variable_real > set_variable_real ) > $o,Q2: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( P @ P2 )
% 3.11/1.66       => ( ( Q @ Q2 )
% 3.11/1.66         => ( ( P @ ( produc1486464481e_real @ ( produc2007437005e_real @ P2 @ Q2 ) ) )
% 3.11/1.66            & ( Q @ ( produc504912415e_real @ ( produc2007437005e_real @ P2 @ Q2 ) ) ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_325_exI__realizer,axiom,
% 3.11/1.66      ! [P: produc1020032539e_real > ( char > real ) > $o,Y: produc1020032539e_real,X: char > real] :
% 3.11/1.66        ( ( P @ Y @ X )
% 3.11/1.66       => ( P @ ( produc1176159992e_real @ ( produc2125489830e_real @ X @ Y ) ) @ ( produc1146879930e_real @ ( produc2125489830e_real @ X @ Y ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_326_exI__realizer,axiom,
% 3.11/1.66      ! [P: produc104944723e_real > ( char > real > real ) > $o,Y: produc104944723e_real,X: char > real > real] :
% 3.11/1.66        ( ( P @ Y @ X )
% 3.11/1.66       => ( P @ ( produc1179001601e_real @ ( produc141013715e_real @ X @ Y ) ) @ ( produc634910399e_real @ ( produc141013715e_real @ X @ Y ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_327_exI__realizer,axiom,
% 3.11/1.66      ! [P: ( char > set_variable_real > set_variable_real ) > ( char > real > $o ) > $o,Y: char > set_variable_real > set_variable_real,X: char > real > $o] :
% 3.11/1.66        ( ( P @ Y @ X )
% 3.11/1.66       => ( P @ ( produc504912415e_real @ ( produc2007437005e_real @ X @ Y ) ) @ ( produc1486464481e_real @ ( produc2007437005e_real @ X @ Y ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_328_eq__snd__iff,axiom,
% 3.11/1.66      ! [B2: produc1020032539e_real,P2: produc1993135732e_real] :
% 3.11/1.66        ( ( B2
% 3.11/1.66          = ( produc1176159992e_real @ P2 ) )
% 3.11/1.66        = ( ? [A4: char > real] :
% 3.11/1.66              ( P2
% 3.11/1.66              = ( produc2125489830e_real @ A4 @ B2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_329_eq__snd__iff,axiom,
% 3.11/1.66      ! [B2: produc104944723e_real,P2: produc1020032539e_real] :
% 3.11/1.66        ( ( B2
% 3.11/1.66          = ( produc1179001601e_real @ P2 ) )
% 3.11/1.66        = ( ? [A4: char > real > real] :
% 3.11/1.66              ( P2
% 3.11/1.66              = ( produc141013715e_real @ A4 @ B2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_330_eq__snd__iff,axiom,
% 3.11/1.66      ! [B2: char > set_variable_real > set_variable_real,P2: produc104944723e_real] :
% 3.11/1.66        ( ( B2
% 3.11/1.66          = ( produc504912415e_real @ P2 ) )
% 3.11/1.66        = ( ? [A4: char > real > $o] :
% 3.11/1.66              ( P2
% 3.11/1.66              = ( produc2007437005e_real @ A4 @ B2 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_331_sndI,axiom,
% 3.11/1.66      ! [X: produc1993135732e_real,Y: char > real,Z: produc1020032539e_real] :
% 3.11/1.66        ( ( X
% 3.11/1.66          = ( produc2125489830e_real @ Y @ Z ) )
% 3.11/1.66       => ( ( produc1176159992e_real @ X )
% 3.11/1.66          = Z ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_332_sndI,axiom,
% 3.11/1.66      ! [X: produc1020032539e_real,Y: char > real > real,Z: produc104944723e_real] :
% 3.11/1.66        ( ( X
% 3.11/1.66          = ( produc141013715e_real @ Y @ Z ) )
% 3.11/1.66       => ( ( produc1179001601e_real @ X )
% 3.11/1.66          = Z ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_333_sndI,axiom,
% 3.11/1.66      ! [X: produc104944723e_real,Y: char > real > $o,Z: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( X
% 3.11/1.66          = ( produc2007437005e_real @ Y @ Z ) )
% 3.11/1.66       => ( ( produc504912415e_real @ X )
% 3.11/1.66          = Z ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_334_fstI,axiom,
% 3.11/1.66      ! [X: produc1993135732e_real,Y: char > real,Z: produc1020032539e_real] :
% 3.11/1.66        ( ( X
% 3.11/1.66          = ( produc2125489830e_real @ Y @ Z ) )
% 3.11/1.66       => ( ( produc1146879930e_real @ X )
% 3.11/1.66          = Y ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_335_fstI,axiom,
% 3.11/1.66      ! [X: produc1020032539e_real,Y: char > real > real,Z: produc104944723e_real] :
% 3.11/1.66        ( ( X
% 3.11/1.66          = ( produc141013715e_real @ Y @ Z ) )
% 3.11/1.66       => ( ( produc634910399e_real @ X )
% 3.11/1.66          = Y ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_336_fstI,axiom,
% 3.11/1.66      ! [X: produc104944723e_real,Y: char > real > $o,Z: char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( X
% 3.11/1.66          = ( produc2007437005e_real @ Y @ Z ) )
% 3.11/1.66       => ( ( produc1486464481e_real @ X )
% 3.11/1.66          = Y ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_337_eq__fst__iff,axiom,
% 3.11/1.66      ! [A2: char > real,P2: produc1993135732e_real] :
% 3.11/1.66        ( ( A2
% 3.11/1.66          = ( produc1146879930e_real @ P2 ) )
% 3.11/1.66        = ( ? [B4: produc1020032539e_real] :
% 3.11/1.66              ( P2
% 3.11/1.66              = ( produc2125489830e_real @ A2 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_338_eq__fst__iff,axiom,
% 3.11/1.66      ! [A2: char > real > real,P2: produc1020032539e_real] :
% 3.11/1.66        ( ( A2
% 3.11/1.66          = ( produc634910399e_real @ P2 ) )
% 3.11/1.66        = ( ? [B4: produc104944723e_real] :
% 3.11/1.66              ( P2
% 3.11/1.66              = ( produc141013715e_real @ A2 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_339_eq__fst__iff,axiom,
% 3.11/1.66      ! [A2: char > real > $o,P2: produc104944723e_real] :
% 3.11/1.66        ( ( A2
% 3.11/1.66          = ( produc1486464481e_real @ P2 ) )
% 3.11/1.66        = ( ? [B4: char > set_variable_real > set_variable_real] :
% 3.11/1.66              ( P2
% 3.11/1.66              = ( produc2007437005e_real @ A2 @ B4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_340_subrelI,axiom,
% 3.11/1.66      ! [R2: set_Pr397354154e_real,S2: set_Pr397354154e_real] :
% 3.11/1.66        ( ! [X3: char > real,Y3: produc1020032539e_real] :
% 3.11/1.66            ( ( member1491807627e_real @ ( produc2125489830e_real @ X3 @ Y3 ) @ R2 )
% 3.11/1.66           => ( member1491807627e_real @ ( produc2125489830e_real @ X3 @ Y3 ) @ S2 ) )
% 3.11/1.66       => ( ord_le1631106314e_real @ R2 @ S2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_341_subrelI,axiom,
% 3.11/1.66      ! [R2: set_Pr307567739e_real,S2: set_Pr307567739e_real] :
% 3.11/1.66        ( ! [X3: char > real > real,Y3: produc104944723e_real] :
% 3.11/1.66            ( ( member544802500e_real @ ( produc141013715e_real @ X3 @ Y3 ) @ R2 )
% 3.11/1.66           => ( member544802500e_real @ ( produc141013715e_real @ X3 @ Y3 ) @ S2 ) )
% 3.11/1.66       => ( ord_le780198939e_real @ R2 @ S2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_342_subrelI,axiom,
% 3.11/1.66      ! [R2: set_Pr268868489e_real,S2: set_Pr268868489e_real] :
% 3.11/1.66        ( ! [X3: char > real > $o,Y3: char > set_variable_real > set_variable_real] :
% 3.11/1.66            ( ( member1871517162e_real @ ( produc2007437005e_real @ X3 @ Y3 ) @ R2 )
% 3.11/1.66           => ( member1871517162e_real @ ( produc2007437005e_real @ X3 @ Y3 ) @ S2 ) )
% 3.11/1.66       => ( ord_le2056633321e_real @ R2 @ S2 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_343_mon__mono,axiom,
% 3.11/1.66      ( order_1507925822e_real
% 3.11/1.66      = ( ^ [R3: set_variable_real > set_variable_real] :
% 3.11/1.66          ! [X6: set_variable_real,Y7: set_variable_real] :
% 3.11/1.66            ( ( ord_le1113654598e_real @ X6 @ Y7 )
% 3.11/1.66           => ( ord_le1113654598e_real @ ( R3 @ X6 ) @ ( R3 @ Y7 ) ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_344_prop__restrict,axiom,
% 3.11/1.66      ! [X: variable > real,Z2: set_variable_real,X7: set_variable_real,P: ( variable > real ) > $o] :
% 3.11/1.66        ( ( member_variable_real @ X @ Z2 )
% 3.11/1.66       => ( ( ord_le1113654598e_real @ Z2
% 3.11/1.66            @ ( collec633296133e_real
% 3.11/1.66              @ ^ [X4: variable > real] :
% 3.11/1.66                  ( ( member_variable_real @ X4 @ X7 )
% 3.11/1.66                  & ( P @ X4 ) ) ) )
% 3.11/1.66         => ( P @ X ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_345_Collect__restrict,axiom,
% 3.11/1.66      ! [X7: set_variable_real,P: ( variable > real ) > $o] :
% 3.11/1.66        ( ord_le1113654598e_real
% 3.11/1.66        @ ( collec633296133e_real
% 3.11/1.66          @ ^ [X4: variable > real] :
% 3.11/1.66              ( ( member_variable_real @ X4 @ X7 )
% 3.11/1.66              & ( P @ X4 ) ) )
% 3.11/1.66        @ X7 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_346_Collect__subset,axiom,
% 3.11/1.66      ! [A5: set_variable_real,P: ( variable > real ) > $o] :
% 3.11/1.66        ( ord_le1113654598e_real
% 3.11/1.66        @ ( collec633296133e_real
% 3.11/1.66          @ ^ [X4: variable > real] :
% 3.11/1.66              ( ( member_variable_real @ X4 @ A5 )
% 3.11/1.66              & ( P @ X4 ) ) )
% 3.11/1.66        @ A5 ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_347_Collect__mono,axiom,
% 3.11/1.66      ! [P: ( variable > real ) > $o,Q: ( variable > real ) > $o] :
% 3.11/1.66        ( ! [X3: variable > real] :
% 3.11/1.66            ( ( P @ X3 )
% 3.11/1.66           => ( Q @ X3 ) )
% 3.11/1.66       => ( ord_le1113654598e_real @ ( collec633296133e_real @ P ) @ ( collec633296133e_real @ Q ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_348_Collect__mono__iff,axiom,
% 3.11/1.66      ! [P: ( variable > real ) > $o,Q: ( variable > real ) > $o] :
% 3.11/1.66        ( ( ord_le1113654598e_real @ ( collec633296133e_real @ P ) @ ( collec633296133e_real @ Q ) )
% 3.11/1.66        = ( ! [X4: variable > real] :
% 3.11/1.66              ( ( P @ X4 )
% 3.11/1.66             => ( Q @ X4 ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_349_subset__Collect__iff,axiom,
% 3.11/1.66      ! [B5: set_variable_real,A5: set_variable_real,P: ( variable > real ) > $o] :
% 3.11/1.66        ( ( ord_le1113654598e_real @ B5 @ A5 )
% 3.11/1.66       => ( ( ord_le1113654598e_real @ B5
% 3.11/1.66            @ ( collec633296133e_real
% 3.11/1.66              @ ^ [X4: variable > real] :
% 3.11/1.66                  ( ( member_variable_real @ X4 @ A5 )
% 3.11/1.66                  & ( P @ X4 ) ) ) )
% 3.11/1.66          = ( ! [X4: variable > real] :
% 3.11/1.66                ( ( member_variable_real @ X4 @ B5 )
% 3.11/1.66               => ( P @ X4 ) ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_350_subset__CollectI,axiom,
% 3.11/1.66      ! [B5: set_variable_real,A5: set_variable_real,Q: ( variable > real ) > $o,P: ( variable > real ) > $o] :
% 3.11/1.66        ( ( ord_le1113654598e_real @ B5 @ A5 )
% 3.11/1.66       => ( ! [X3: variable > real] :
% 3.11/1.66              ( ( member_variable_real @ X3 @ B5 )
% 3.11/1.66             => ( ( Q @ X3 )
% 3.11/1.66               => ( P @ X3 ) ) )
% 3.11/1.66         => ( ord_le1113654598e_real
% 3.11/1.66            @ ( collec633296133e_real
% 3.11/1.66              @ ^ [X4: variable > real] :
% 3.11/1.66                  ( ( member_variable_real @ X4 @ B5 )
% 3.11/1.66                  & ( Q @ X4 ) ) )
% 3.11/1.66            @ ( collec633296133e_real
% 3.11/1.66              @ ^ [X4: variable > real] :
% 3.11/1.66                  ( ( member_variable_real @ X4 @ A5 )
% 3.11/1.66                  & ( P @ X4 ) ) ) ) ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_351_GrD1,axiom,
% 3.11/1.66      ! [X: char > real,Fx: produc1020032539e_real,A5: set_char_real,F3: ( char > real ) > produc1020032539e_real] :
% 3.11/1.66        ( ( member1491807627e_real @ ( produc2125489830e_real @ X @ Fx ) @ ( bNF_Gr2096011355e_real @ A5 @ F3 ) )
% 3.11/1.66       => ( member_char_real @ X @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_352_GrD1,axiom,
% 3.11/1.66      ! [X: char > real > real,Fx: produc104944723e_real,A5: set_char_real_real,F3: ( char > real > real ) > produc104944723e_real] :
% 3.11/1.66        ( ( member544802500e_real @ ( produc141013715e_real @ X @ Fx ) @ ( bNF_Gr574714974e_real @ A5 @ F3 ) )
% 3.11/1.66       => ( member312374654l_real @ X @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(fact_353_GrD1,axiom,
% 3.11/1.66      ! [X: char > real > $o,Fx: char > set_variable_real > set_variable_real,A5: set_char_real_o,F3: ( char > real > $o ) > char > set_variable_real > set_variable_real] :
% 3.11/1.66        ( ( member1871517162e_real @ ( produc2007437005e_real @ X @ Fx ) @ ( bNF_Gr1652860930e_real @ A5 @ F3 ) )
% 3.11/1.66       => ( member_char_real_o @ X @ A5 ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(help_If_3_1_If_001t__Real__Oreal_T,axiom,
% 3.11/1.66      ! [P: $o] :
% 3.11/1.66        ( ( P = $true )
% 3.11/1.66        | ( P = $false ) ) ).
% 3.11/1.66  
% 3.11/1.66  thf(help_If_2_1_If_001t__Real__Oreal_T,axiom,
% 3.11/1.66      ! [X: real,Y: real] :
% 3.11/1.66        ( ( if_real @ $false @ X @ Y )
% 3.11/1.66        = Y ) ).
% 3.11/1.66  
% 3.11/1.66  thf(help_If_1_1_If_001t__Real__Oreal_T,axiom,
% 3.11/1.66      ! [X: real,Y: real] :
% 3.11/1.66        ( ( if_real @ $true @ X @ Y )
% 3.11/1.66        = X ) ).
% 3.11/1.66  
% 3.11/1.66  thf(conj_0,conjecture,
% 3.11/1.66      ( ( denotational_Preds
% 3.11/1.66        @ ( denota1150374853interp
% 3.11/1.66          @ ( produc2125489830e_real
% 3.11/1.66            @ ^ [C2: char] : ( if_real @ ( C2 = f ) @ d @ ( denotational_Consts @ i @ C2 ) )
% 3.11/1.66            @ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) )
% 3.11/1.67      = ( denotational_Preds @ i ) ) ).
% 3.11/1.67  ------------------------
% 3.21/1.72  % (2834)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_2570 for (2999ds/183Mi)
% 3.21/1.72  % (2837)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_2570 for (2999ds/2Mi)
% 3.21/1.72  % (2835)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_2570 for (2999ds/4Mi)
% 3.21/1.72  % (2836)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_2570 for (2999ds/27Mi)
% 3.21/1.72  % (2838)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_2570 for (2999ds/2Mi)
% 3.21/1.72  % (2839)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_2570 for (2999ds/275Mi)
% 3.21/1.72  % (2840)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_2570 for (2999ds/18Mi)
% 3.21/1.72  % (2837)Instruction limit reached!
% 3.21/1.72  % (2837)------------------------------
% 3.21/1.72  % (2837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.21/1.72  % (2837)Termination reason: Unknown
% 3.21/1.72  % (2837)Termination phase: shuffling
% 3.21/1.72  
% 3.21/1.72  % (2837)Memory used [KB]: 1663
% 3.21/1.72  % (2837)Time elapsed: 0.003 s
% 3.21/1.72  % (2837)Instructions burned: 2 (million)
% 3.21/1.72  % (2837)------------------------------
% 3.21/1.72  % (2837)------------------------------
% 3.21/1.72  % (2838)Instruction limit reached!
% 3.21/1.72  % (2838)------------------------------
% 3.21/1.72  % (2838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.21/1.72  % (2838)Termination reason: Unknown
% 3.21/1.72  % (2838)Termination phase: shuffling
% 3.21/1.72  
% 3.21/1.72  % (2838)Memory used [KB]: 1663
% 3.21/1.72  % (2838)Time elapsed: 0.003 s
% 3.21/1.72  % (2838)Instructions burned: 2 (million)
% 3.21/1.72  % (2838)------------------------------
% 3.21/1.72  % (2838)------------------------------
% 3.21/1.72  % (2835)Instruction limit reached!
% 3.21/1.72  % (2835)------------------------------
% 3.21/1.72  % (2835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.21/1.72  % (2835)Termination reason: Unknown
% 3.21/1.72  % (2835)Termination phase: shuffling
% 3.21/1.72  
% 3.21/1.72  % (2835)Memory used [KB]: 1791
% 3.21/1.72  % (2835)Time elapsed: 0.005 s
% 3.21/1.72  % (2835)Instructions burned: 5 (million)
% 3.21/1.72  % (2835)------------------------------
% 3.21/1.72  % (2835)------------------------------
% 3.21/1.73  % (2840)Instruction limit reached!
% 3.21/1.73  % (2840)------------------------------
% 3.21/1.73  % (2840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.21/1.73  % (2840)Termination reason: Unknown
% 3.21/1.73  % (2840)Termination phase: shuffling
% 3.21/1.73  
% 3.21/1.73  % (2840)Memory used [KB]: 1918
% 3.21/1.73  % (2840)Time elapsed: 0.013 s
% 3.21/1.73  % (2840)Instructions burned: 18 (million)
% 3.21/1.73  % (2840)------------------------------
% 3.21/1.73  % (2840)------------------------------
% 3.21/1.73  % (2836)Instruction limit reached!
% 3.21/1.73  % (2836)------------------------------
% 3.21/1.73  % (2836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.21/1.73  % (2836)Termination reason: Unknown
% 3.21/1.73  % (2836)Termination phase: shuffling
% 3.21/1.73  
% 3.21/1.73  % (2836)Memory used [KB]: 2046
% 3.21/1.73  % (2836)Time elapsed: 0.019 s
% 3.21/1.73  % (2836)Instructions burned: 28 (million)
% 3.21/1.73  % (2836)------------------------------
% 3.21/1.73  % (2836)------------------------------
% 3.21/1.74  % (2841)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_2570 for (2999ds/3Mi)
% 3.21/1.74  % (2842)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_2570 for (2999ds/37Mi)
% 3.21/1.74  % (2843)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_2570 for (2999ds/15Mi)
% 3.21/1.74  % (2841)Instruction limit reached!
% 3.21/1.74  % (2841)------------------------------
% 3.21/1.74  % (2841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.21/1.74  % (2841)Termination reason: Unknown
% 3.21/1.74  % (2841)Termination phase: shuffling
% 3.21/1.74  
% 3.21/1.74  % (2841)Memory used [KB]: 1663
% 3.21/1.74  % (2841)Time elapsed: 0.005 s
% 3.21/1.74  % (2841)Instructions burned: 4 (million)
% 3.21/1.74  % (2841)------------------------------
% 3.21/1.74  % (2841)------------------------------
% 3.21/1.75  % (2844)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_2570 for (2999ds/3Mi)
% 3.21/1.75  % (2843)Instruction limit reached!
% 3.21/1.75  % (2843)------------------------------
% 3.21/1.75  % (2843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.21/1.75  % (2843)Termination reason: Unknown
% 3.21/1.75  % (2843)Termination phase: shuffling
% 3.21/1.75  
% 3.21/1.75  % (2843)Memory used [KB]: 1918
% 3.21/1.75  % (2843)Time elapsed: 0.012 s
% 3.21/1.75  % (2843)Instructions burned: 16 (million)
% 3.21/1.75  % (2843)------------------------------
% 3.21/1.75  % (2843)------------------------------
% 3.21/1.75  % (2844)Instruction limit reached!
% 3.21/1.75  % (2844)------------------------------
% 3.21/1.75  % (2844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.21/1.75  % (2844)Termination reason: Unknown
% 3.21/1.75  % (2844)Termination phase: shuffling
% 3.21/1.75  
% 3.21/1.75  % (2844)Memory used [KB]: 1663
% 3.21/1.75  % (2844)Time elapsed: 0.004 s
% 3.21/1.75  % (2844)Instructions burned: 3 (million)
% 3.21/1.75  % (2844)------------------------------
% 3.21/1.75  % (2844)------------------------------
% 3.21/1.75  % (2845)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_2570 for (2999ds/1041Mi)
% 3.21/1.75  % (2839)First to succeed.
% 3.21/1.75  % (2846)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_2570 for (2999ds/7Mi)
% 3.21/1.75  % (2839)Refutation found. Thanks to Tanya!
% 3.21/1.75  % SZS status Theorem for DTF2THF_2570
% 3.21/1.75  % SZS output start Proof for DTF2THF_2570
% 3.21/1.75  thf(type_def_5, type, set_char_real_o: $tType).
% 3.21/1.75  thf(type_def_6, type, char: $tType).
% 3.21/1.75  thf(type_def_7, type, real: $tType).
% 3.21/1.75  thf(type_def_9, type, set_variable_real: $tType).
% 3.21/1.75  thf(type_def_10, type, set_Pr268868489e_real: $tType).
% 3.21/1.75  thf(type_def_11, type, set_char_real_real: $tType).
% 3.21/1.75  thf(type_def_12, type, produc104944723e_real: $tType).
% 3.21/1.75  thf(type_def_13, type, set_Pr307567739e_real: $tType).
% 3.21/1.75  thf(type_def_14, type, set_char_real: $tType).
% 3.21/1.75  thf(type_def_15, type, produc1020032539e_real: $tType).
% 3.21/1.75  thf(type_def_16, type, set_Pr397354154e_real: $tType).
% 3.21/1.75  thf(type_def_17, type, denotational_interp: $tType).
% 3.21/1.75  thf(type_def_18, type, produc1993135732e_real: $tType).
% 3.21/1.75  thf(type_def_19, type, produc2070499431real_o: $tType).
% 3.21/1.75  thf(type_def_20, type, produc96687023l_real: $tType).
% 3.21/1.75  thf(type_def_21, type, produc1606031907real_o: $tType).
% 3.21/1.75  thf(type_def_22, type, produc1120170903e_real: $tType).
% 3.21/1.75  thf(type_def_23, type, produc928489369r_real: $tType).
% 3.21/1.75  thf(type_def_24, type, produc729247771l_real: $tType).
% 3.21/1.75  thf(type_def_25, type, produc1416364679e_real: $tType).
% 3.21/1.75  thf(type_def_26, type, produc2139219430r_real: $tType).
% 3.21/1.75  thf(type_def_27, type, produc199503591e_real: $tType).
% 3.21/1.75  thf(type_def_28, type, produc1014656201e_real: $tType).
% 3.21/1.75  thf(type_def_29, type, set_ch845833233e_real: $tType).
% 3.21/1.75  thf(type_def_30, type, set_Pr366573913real_o: $tType).
% 3.21/1.75  thf(type_def_31, type, variable: $tType).
% 3.21/1.75  thf(type_def_32, type, set_Pr1530225953e_real: $tType).
% 3.21/1.75  thf(type_def_33, type, set_Pr1730352763l_real: $tType).
% 3.21/1.75  thf(type_def_34, type, set_Pr821009180r_real: $tType).
% 3.21/1.75  thf(type_def_35, type, produc1863992257e_real: $tType).
% 3.21/1.75  thf(type_def_36, type, set_Pr1053253703real_o: $tType).
% 3.21/1.75  thf(type_def_37, type, set_Pr1919093775l_real: $tType).
% 3.21/1.75  thf(type_def_38, type, set_Pr42335993r_real: $tType).
% 3.21/1.75  thf(type_def_39, type, set_Pr1588228599e_real: $tType).
% 3.21/1.75  thf(type_def_40, type, set_Pr521705191e_real: $tType).
% 3.21/1.75  thf(type_def_41, type, set_Pr1517071815e_real: $tType).
% 3.21/1.75  thf(type_def_42, type, set_Pr605909289e_real: $tType).
% 3.21/1.75  thf(func_def_0, type, set_Pr605909289e_real: $tType).
% 3.21/1.75  thf(func_def_1, type, produc1014656201e_real: $tType).
% 3.21/1.75  thf(func_def_2, type, set_Pr1517071815e_real: $tType).
% 3.21/1.75  thf(func_def_3, type, produc199503591e_real: $tType).
% 3.21/1.75  thf(func_def_4, type, set_Pr521705191e_real: $tType).
% 3.21/1.75  thf(func_def_5, type, produc1416364679e_real: $tType).
% 3.21/1.75  thf(func_def_6, type, set_Pr821009180r_real: $tType).
% 3.21/1.75  thf(func_def_7, type, set_Pr397354154e_real: $tType).
% 3.21/1.75  thf(func_def_8, type, produc2139219430r_real: $tType).
% 3.21/1.75  thf(func_def_9, type, produc1993135732e_real: $tType).
% 3.21/1.75  thf(func_def_10, type, set_Pr1588228599e_real: $tType).
% 3.21/1.75  thf(func_def_11, type, set_Pr1730352763l_real: $tType).
% 3.21/1.75  thf(func_def_12, type, set_Pr307567739e_real: $tType).
% 3.21/1.75  thf(func_def_13, type, produc1120170903e_real: $tType).
% 3.21/1.75  thf(func_def_14, type, produc729247771l_real: $tType).
% 3.21/1.75  thf(func_def_15, type, produc1020032539e_real: $tType).
% 3.21/1.75  thf(func_def_16, type, set_Pr366573913real_o: $tType).
% 3.21/1.75  thf(func_def_17, type, set_Pr268868489e_real: $tType).
% 3.21/1.75  thf(func_def_18, type, produc1606031907real_o: $tType).
% 3.21/1.75  thf(func_def_19, type, produc104944723e_real: $tType).
% 3.21/1.75  thf(func_def_20, type, set_Pr1919093775l_real: $tType).
% 3.21/1.75  thf(func_def_21, type, set_ch845833233e_real: $tType).
% 3.21/1.75  thf(func_def_22, type, produc96687023l_real: $tType).
% 3.21/1.75  thf(func_def_23, type, set_Pr1053253703real_o: $tType).
% 3.21/1.75  thf(func_def_24, type, produc2070499431real_o: $tType).
% 3.21/1.75  thf(func_def_25, type, set_Pr1530225953e_real: $tType).
% 3.21/1.75  thf(func_def_26, type, set_Pr42335993r_real: $tType).
% 3.21/1.75  thf(func_def_27, type, produc1863992257e_real: $tType).
% 3.21/1.75  thf(func_def_28, type, produc928489369r_real: $tType).
% 3.21/1.75  thf(func_def_29, type, set_char_real_real: $tType).
% 3.21/1.75  thf(func_def_30, type, set_char_real_o: $tType).
% 3.21/1.75  thf(func_def_31, type, set_variable_real: $tType).
% 3.21/1.75  thf(func_def_32, type, set_char_real: $tType).
% 3.21/1.75  thf(func_def_33, type, denotational_interp: $tType).
% 3.21/1.75  thf(func_def_34, type, variable: $tType).
% 3.21/1.75  thf(func_def_35, type, char: $tType).
% 3.21/1.75  thf(func_def_36, type, real: $tType).
% 3.21/1.75  thf(func_def_37, type, bNF_Gr1652860930e_real: set_char_real_o > ((char > real > $o) > char > set_variable_real > set_variable_real) > set_Pr268868489e_real).
% 3.21/1.75  thf(func_def_38, type, bNF_Gr574714974e_real: set_char_real_real > ((char > real > real) > produc104944723e_real) > set_Pr307567739e_real).
% 3.21/1.75  thf(func_def_39, type, bNF_Gr2096011355e_real: set_char_real > ((char > real) > produc1020032539e_real) > set_Pr397354154e_real).
% 3.21/1.75  thf(func_def_40, type, denotational_Consts: denotational_interp > char > real).
% 3.21/1.75  thf(func_def_41, type, denotational_Funcs: denotational_interp > char > real > real).
% 3.21/1.75  thf(func_def_42, type, denotational_Games: denotational_interp > char > set_variable_real > set_variable_real).
% 3.21/1.75  thf(func_def_43, type, denotational_Preds: denotational_interp > char > real > $o).
% 3.21/1.75  thf(func_def_44, type, denota1150374853interp: produc1993135732e_real > denotational_interp).
% 3.21/1.75  thf(func_def_45, type, denotational_worlds: set_variable_real).
% 3.21/1.75  thf(func_def_46, type, the_Pr1811203438real_o: (produc2070499431real_o > $o) > produc2070499431real_o).
% 3.21/1.75  thf(func_def_47, type, the_Pr429269900e_real: (produc104944723e_real > $o) > produc104944723e_real).
% 3.21/1.75  thf(func_def_48, type, the_Pr1196831286l_real: (produc96687023l_real > $o) > produc96687023l_real).
% 3.21/1.75  thf(func_def_49, type, the_Pr1679925410e_real: (produc1020032539e_real > $o) > produc1020032539e_real).
% 3.21/1.75  thf(func_def_50, type, the_Pr1930357084real_o: (produc1606031907real_o > $o) > produc1606031907real_o).
% 3.21/1.75  thf(func_def_51, type, the_Pr198758430e_real: (produc1120170903e_real > $o) > produc1120170903e_real).
% 3.21/1.75  thf(func_def_52, type, the_Pr1076580896r_real: (produc928489369r_real > $o) > produc928489369r_real).
% 3.21/1.75  thf(func_def_53, type, the_Pr543709229e_real: (produc1993135732e_real > $o) > produc1993135732e_real).
% 3.21/1.75  thf(func_def_54, type, if_real: $o > real > real > real).
% 3.21/1.75  thf(func_def_55, type, bot_bo721182586e_real: set_variable_real).
% 3.21/1.75  thf(func_def_56, type, ord_le1113654598e_real: set_variable_real > set_variable_real > $o).
% 3.21/1.75  thf(func_def_57, type, ord_le2056633321e_real: set_Pr268868489e_real > set_Pr268868489e_real > $o).
% 3.21/1.75  thf(func_def_58, type, ord_le780198939e_real: set_Pr307567739e_real > set_Pr307567739e_real > $o).
% 3.21/1.75  thf(func_def_59, type, ord_le1631106314e_real: set_Pr397354154e_real > set_Pr397354154e_real > $o).
% 3.21/1.75  thf(func_def_60, type, order_1507925822e_real: (set_variable_real > set_variable_real) > $o).
% 3.21/1.75  thf(func_def_61, type, top_to239690646e_real: set_variable_real).
% 3.21/1.75  thf(func_def_62, type, produc1566957527real_o: (char > real > $o) > (char > real > $o) > produc2070499431real_o).
% 3.21/1.75  thf(func_def_63, type, produc2007437005e_real: (char > real > $o) > (char > set_variable_real > set_variable_real) > produc104944723e_real).
% 3.21/1.75  thf(func_def_64, type, produc686464615l_real: (char > real > real) > (char > real > real) > produc96687023l_real).
% 3.21/1.75  thf(func_def_65, type, produc141013715e_real: (char > real > real) > produc104944723e_real > produc1020032539e_real).
% 3.21/1.75  thf(func_def_66, type, produc1285468373real_o: (char > set_variable_real > set_variable_real) > (char > real > $o) > produc1606031907real_o).
% 3.21/1.75  thf(func_def_67, type, produc525232719e_real: (char > set_variable_real > set_variable_real) > (char > set_variable_real > set_variable_real) > produc1120170903e_real).
% 3.21/1.75  thf(func_def_68, type, produc700235985r_real: (char > real) > (char > real) > produc928489369r_real).
% 3.21/1.75  thf(func_def_69, type, produc2125489830e_real: (char > real) > produc1020032539e_real > produc1993135732e_real).
% 3.21/1.75  thf(func_def_70, type, produc1053845203l_real: produc104944723e_real > (char > real > real) > produc729247771l_real).
% 3.21/1.75  thf(func_def_71, type, produc1957227327e_real: produc104944723e_real > produc104944723e_real > produc1416364679e_real).
% 3.21/1.75  thf(func_def_72, type, produc1317530464r_real: produc1020032539e_real > (char > real) > produc2139219430r_real).
% 3.21/1.75  thf(func_def_73, type, produc680410711e_real: produc1020032539e_real > produc1020032539e_real > produc199503591e_real).
% 3.21/1.75  thf(func_def_74, type, produc638505729e_real: produc1993135732e_real > produc1993135732e_real > produc1014656201e_real).
% 3.21/1.75  thf(func_def_75, type, produc214490950real_o: (char > real > $o) > (char > real > $o) > (char > real > $o) > (char > real > $o) > $o).
% 3.21/1.75  thf(func_def_76, type, produc210225566e_real: (char > real > $o) > (char > set_variable_real > set_variable_real) > (char > real > $o) > (char > set_variable_real > set_variable_real) > $o).
% 3.21/1.75  thf(func_def_77, type, produc1051282262l_real: (char > real > real) > (char > real > real) > (char > real > real) > (char > real > real) > $o).
% 3.21/1.75  thf(func_def_78, type, produc619891650e_real: (char > real > real) > produc104944723e_real > (char > real > real) > produc104944723e_real > $o).
% 3.21/1.75  thf(func_def_79, type, produc1635740582real_o: (char > set_variable_real > set_variable_real) > (char > real > $o) > (char > set_variable_real > set_variable_real) > (char > real > $o) > $o).
% 3.21/1.75  thf(func_def_80, type, produc1689380158e_real: (char > set_variable_real > set_variable_real) > (char > set_variable_real > set_variable_real) > (char > set_variable_real > set_variable_real) > (char > set_variable_real > set_variable_real) > $o).
% 3.21/1.75  thf(func_def_81, type, produc885334464r_real: (char > real) > (char > real) > (char > real) > (char > real) > $o).
% 3.21/1.75  thf(func_def_82, type, produc345845751e_real: (char > real) > produc1020032539e_real > (char > real) > produc1020032539e_real > $o).
% 3.21/1.75  thf(func_def_83, type, produc1853244124e_real: set_char_real_o > ((char > real > $o) > set_ch845833233e_real) > set_Pr268868489e_real).
% 3.21/1.75  thf(func_def_84, type, produc522711812e_real: set_char_real_real > ((char > real > real) > set_Pr268868489e_real) > set_Pr307567739e_real).
% 3.21/1.75  thf(func_def_85, type, produc1131275492real_o: set_ch845833233e_real > ((char > set_variable_real > set_variable_real) > set_char_real_o) > set_Pr366573913real_o).
% 3.21/1.75  thf(func_def_86, type, produc34356277e_real: set_char_real > ((char > real) > set_Pr307567739e_real) > set_Pr397354154e_real).
% 3.21/1.75  thf(func_def_87, type, produc979346218e_real: set_variable_real > ((variable > real) > set_variable_real) > set_Pr1530225953e_real).
% 3.21/1.75  thf(func_def_88, type, produc1435543300l_real: set_Pr268868489e_real > (produc104944723e_real > set_char_real_real) > set_Pr1730352763l_real).
% 3.21/1.75  thf(func_def_89, type, produc1373880559r_real: set_Pr307567739e_real > (produc1020032539e_real > set_char_real) > set_Pr821009180r_real).
% 3.21/1.75  thf(func_def_90, type, produc169502925al_o_o: (produc2070499431real_o > $o) > (char > real > $o) > (char > real > $o) > $o).
% 3.21/1.75  thf(func_def_91, type, produc809977789real_o: (produc104944723e_real > $o) > (char > real > $o) > (char > set_variable_real > set_variable_real) > $o).
% 3.21/1.75  thf(func_def_92, type, produc311008957real_o: (produc96687023l_real > $o) > (char > real > real) > (char > real > real) > $o).
% 3.21/1.75  thf(func_def_93, type, produc753879889real_o: (produc1020032539e_real > $o) > (char > real > real) > produc104944723e_real > $o).
% 3.21/1.75  thf(func_def_94, type, produc647541685al_o_o: (produc1606031907real_o > $o) > (char > set_variable_real > set_variable_real) > (char > real > $o) > $o).
% 3.21/1.75  thf(func_def_95, type, produc1935758037real_o: (produc1120170903e_real > $o) > (char > set_variable_real > set_variable_real) > (char > set_variable_real > set_variable_real) > $o).
% 3.21/1.75  thf(func_def_96, type, produc1735668179real_o: (produc928489369r_real > $o) > (char > real) > (char > real) > $o).
% 3.21/1.75  thf(func_def_97, type, produc998184740real_o: (produc1993135732e_real > $o) > (char > real) > produc1020032539e_real > $o).
% 3.21/1.75  thf(func_def_98, type, produc1070892532real_o: ((char > real > $o) > (char > set_variable_real > set_variable_real) > $o) > produc104944723e_real > $o).
% 3.21/1.75  thf(func_def_99, type, produc584529143e_real: ((char > real > $o) > (char > set_variable_real > set_variable_real) > produc104944723e_real) > produc104944723e_real > produc104944723e_real).
% 3.21/1.75  thf(func_def_100, type, produc677394266real_o: ((char > real > real) > produc104944723e_real > $o) > produc1020032539e_real > $o).
% 3.21/1.75  thf(func_def_101, type, produc1138486237e_real: ((char > real > real) > produc104944723e_real > produc1020032539e_real) > produc1020032539e_real > produc1020032539e_real).
% 3.21/1.75  thf(func_def_102, type, produc1941565183e_real: ((char > set_variable_real > set_variable_real) > (char > real > $o) > produc104944723e_real) > produc1606031907real_o > produc104944723e_real).
% 3.21/1.75  thf(func_def_103, type, produc355430254e_real: ((char > real > $o) > char > real > $o) > ((char > set_variable_real > set_variable_real) > char > set_variable_real > set_variable_real) > produc104944723e_real > produc104944723e_real).
% 3.21/1.75  thf(func_def_104, type, produc753666538e_real: ((char > real > $o) > char > real > real) > ((char > set_variable_real > set_variable_real) > produc104944723e_real) > produc104944723e_real > produc1020032539e_real).
% 3.21/1.75  thf(func_def_105, type, produc1251731407e_real: ((char > real > $o) > char > real) > ((char > set_variable_real > set_variable_real) > produc1020032539e_real) > produc104944723e_real > produc1993135732e_real).
% 3.21/1.75  thf(func_def_106, type, produc683016410e_real: ((char > real > real) > char > real > $o) > (produc104944723e_real > char > set_variable_real > set_variable_real) > produc1020032539e_real > produc104944723e_real).
% 3.21/1.75  thf(func_def_107, type, produc2131385966e_real: ((char > real > real) > char > real > real) > (produc104944723e_real > produc104944723e_real) > produc1020032539e_real > produc1020032539e_real).
% 3.21/1.75  thf(func_def_108, type, produc348783435e_real: ((char > real > real) > char > real) > (produc104944723e_real > produc1020032539e_real) > produc1020032539e_real > produc1993135732e_real).
% 3.21/1.75  thf(func_def_109, type, produc1797673857e_real: ((char > real) > char > real > $o) > (produc1020032539e_real > char > set_variable_real > set_variable_real) > produc1993135732e_real > produc104944723e_real).
% 3.21/1.75  thf(func_def_110, type, produc202772275e_real: ((char > real) > char > real > real) > (produc1020032539e_real > produc104944723e_real) > produc1993135732e_real > produc1020032539e_real).
% 3.21/1.75  thf(func_def_111, type, produc552964208e_real: ((char > real) > char > real) > (produc1020032539e_real > produc1020032539e_real) > produc1993135732e_real > produc1993135732e_real).
% 3.21/1.75  thf(func_def_112, type, produc2033648741real_o: ((char > real > $o) > (char > real > $o) > $o) > produc2070499431real_o).
% 3.21/1.75  thf(func_def_113, type, produc540070591e_real: ((char > real > $o) > (char > set_variable_real > set_variable_real) > $o) > produc104944723e_real).
% 3.21/1.75  thf(func_def_114, type, produc606131701l_real: ((char > real > real) > (char > real > real) > $o) > produc96687023l_real).
% 3.21/1.75  thf(func_def_115, type, produc877953633e_real: ((char > real > real) > produc104944723e_real > $o) > produc1020032539e_real).
% 3.21/1.75  thf(func_def_116, type, produc1965585607real_o: ((char > set_variable_real > set_variable_real) > (char > real > $o) > $o) > produc1606031907real_o).
% 3.21/1.75  thf(func_def_117, type, produc1545903581e_real: ((char > set_variable_real > set_variable_real) > (char > set_variable_real > set_variable_real) > $o) > produc1120170903e_real).
% 3.21/1.75  thf(func_def_118, type, produc1022533727r_real: ((char > real) > (char > real) > $o) > produc928489369r_real).
% 3.21/1.75  thf(func_def_119, type, produc1448824728e_real: ((char > real) > produc1020032539e_real > $o) > produc1993135732e_real).
% 3.21/1.75  thf(func_def_120, type, produc131289260al_o_o: ((char > real > $o) > (char > real > $o) > $o) > produc2070499431real_o > $o).
% 3.21/1.75  thf(func_def_121, type, produc1629511198real_o: ((char > real > $o) > (char > set_variable_real > set_variable_real) > $o) > produc104944723e_real > $o).
% 3.21/1.75  thf(func_def_122, type, produc1906464077e_real: ((char > real > $o) > (char > set_variable_real > set_variable_real) > produc104944723e_real) > produc104944723e_real > produc104944723e_real).
% 3.21/1.75  thf(func_def_123, type, produc1095814172real_o: ((char > real > real) > (char > real > real) > $o) > produc96687023l_real > $o).
% 3.21/1.75  thf(func_def_124, type, produc679978160real_o: ((char > real > real) > produc104944723e_real > $o) > produc1020032539e_real > $o).
% 3.21/1.75  thf(func_def_125, type, produc1202665267e_real: ((char > real > real) > produc104944723e_real > produc1020032539e_real) > produc1020032539e_real > produc1020032539e_real).
% 3.21/1.75  thf(func_def_126, type, produc1467075094al_o_o: ((char > set_variable_real > set_variable_real) > (char > real > $o) > $o) > produc1606031907real_o > $o).
% 3.21/1.75  thf(func_def_127, type, produc1116016469e_real: ((char > set_variable_real > set_variable_real) > (char > real > $o) > produc104944723e_real) > produc1606031907real_o > produc104944723e_real).
% 3.21/1.75  thf(func_def_128, type, produc143994420real_o: ((char > set_variable_real > set_variable_real) > (char > set_variable_real > set_variable_real) > $o) > produc1120170903e_real > $o).
% 3.21/1.75  thf(func_def_129, type, produc1655853874real_o: ((char > real) > (char > real) > $o) > produc928489369r_real > $o).
% 3.21/1.75  thf(func_def_130, type, produc569598981real_o: ((char > real) > produc1020032539e_real > $o) > produc1993135732e_real > $o).
% 3.21/1.75  thf(func_def_131, type, produc315720647e_real: ((char > real) > produc1020032539e_real > produc1993135732e_real) > produc1993135732e_real > produc1993135732e_real).
% 3.21/1.75  thf(func_def_132, type, produc1299805450real_o: ((variable > real) > (variable > real) > $o) > produc1863992257e_real > $o).
% 3.21/1.75  thf(func_def_133, type, produc421130416real_o: (produc104944723e_real > (char > real > real) > $o) > produc729247771l_real > $o).
% 3.21/1.75  thf(func_def_134, type, produc991789875e_real: (produc104944723e_real > (char > real > real) > produc1020032539e_real) > produc729247771l_real > produc1020032539e_real).
% 3.21/1.75  thf(func_def_135, type, produc864726913e_real: (produc1020032539e_real > (char > real) > produc1993135732e_real) > produc2139219430r_real > produc1993135732e_real).
% 3.21/1.75  thf(func_def_136, type, produc1486464481e_real: produc104944723e_real > char > real > $o).
% 3.21/1.75  thf(func_def_137, type, produc634910399e_real: produc1020032539e_real > char > real > real).
% 3.21/1.75  thf(func_def_138, type, produc764495849real_o: produc1606031907real_o > char > set_variable_real > set_variable_real).
% 3.21/1.75  thf(func_def_139, type, produc1146879930e_real: produc1993135732e_real > char > real).
% 3.21/1.75  thf(func_def_140, type, produc1547741887l_real: produc729247771l_real > produc104944723e_real).
% 3.21/1.75  thf(func_def_141, type, produc338920564r_real: produc2139219430r_real > produc1020032539e_real).
% 3.21/1.75  thf(func_def_142, type, produc504912415e_real: produc104944723e_real > char > set_variable_real > set_variable_real).
% 3.21/1.75  thf(func_def_143, type, produc1179001601e_real: produc1020032539e_real > produc104944723e_real).
% 3.21/1.75  thf(func_def_144, type, produc1930427431real_o: produc1606031907real_o > char > real > $o).
% 3.21/1.75  thf(func_def_145, type, produc1176159992e_real: produc1993135732e_real > produc1020032539e_real).
% 3.21/1.75  thf(func_def_146, type, produc2091833089l_real: produc729247771l_real > char > real > real).
% 3.21/1.75  thf(func_def_147, type, produc368200626r_real: produc2139219430r_real > char > real).
% 3.21/1.75  thf(func_def_148, type, produc443915639real_o: produc2070499431real_o > produc2070499431real_o).
% 3.21/1.75  thf(func_def_149, type, produc914893101e_real: produc104944723e_real > produc1606031907real_o).
% 3.21/1.75  thf(func_def_150, type, produc995978247l_real: produc96687023l_real > produc96687023l_real).
% 3.21/1.75  thf(func_def_151, type, produc865271923e_real: produc1020032539e_real > produc729247771l_real).
% 3.21/1.75  thf(func_def_152, type, produc192924469real_o: produc1606031907real_o > produc104944723e_real).
% 3.21/1.75  thf(func_def_153, type, produc1656125423e_real: produc1120170903e_real > produc1120170903e_real).
% 3.21/1.75  thf(func_def_154, type, produc1564675697r_real: produc928489369r_real > produc928489369r_real).
% 3.21/1.75  thf(func_def_155, type, produc1726279942e_real: produc1993135732e_real > produc2139219430r_real).
% 3.21/1.75  thf(func_def_156, type, produc1778103411l_real: produc729247771l_real > produc1020032539e_real).
% 3.21/1.75  thf(func_def_157, type, produc918320576r_real: produc2139219430r_real > produc1993135732e_real).
% 3.21/1.75  thf(func_def_158, type, inv_im1954866834real_o: set_Pr1053253703real_o > ((char > real > $o) > char > real > $o) > set_Pr1053253703real_o).
% 3.21/1.75  thf(func_def_159, type, inv_im576609886l_real: set_Pr1053253703real_o > ((char > real > real) > char > real > $o) > set_Pr1919093775l_real).
% 3.21/1.75  thf(func_def_160, type, inv_im255337747r_real: set_Pr1053253703real_o > ((char > real) > char > real > $o) > set_Pr42335993r_real).
% 3.21/1.75  thf(func_def_161, type, inv_im1748900174real_o: set_Pr1919093775l_real > ((char > real > $o) > char > real > real) > set_Pr1053253703real_o).
% 3.21/1.75  thf(func_def_162, type, inv_im2119069858l_real: set_Pr1919093775l_real > ((char > real > real) > char > real > real) > set_Pr1919093775l_real).
% 3.21/1.75  thf(func_def_163, type, inv_im854642519r_real: set_Pr1919093775l_real > ((char > real) > char > real > real) > set_Pr42335993r_real).
% 3.21/1.75  thf(func_def_164, type, inv_im710342731r_real: set_Pr1588228599e_real > ((char > real) > char > set_variable_real > set_variable_real) > set_Pr42335993r_real).
% 3.21/1.75  thf(func_def_165, type, inv_im331529689real_o: set_Pr42335993r_real > ((char > real > $o) > char > real) > set_Pr1053253703real_o).
% 3.21/1.75  thf(func_def_166, type, inv_im96827991l_real: set_Pr42335993r_real > ((char > real > real) > char > real) > set_Pr1919093775l_real).
% 3.21/1.75  thf(func_def_167, type, inv_im817616652r_real: set_Pr42335993r_real > ((char > real) > char > real) > set_Pr42335993r_real).
% 3.21/1.75  thf(func_def_168, type, collect_char_real_o: ((char > real > $o) > $o) > set_char_real_o).
% 3.21/1.75  thf(func_def_169, type, collec1429138108l_real: ((char > real > real) > $o) > set_char_real_real).
% 3.21/1.75  thf(func_def_170, type, collec425771440e_real: ((char > set_variable_real > set_variable_real) > $o) > set_ch845833233e_real).
% 3.21/1.75  thf(func_def_171, type, collect_char_real: ((char > real) > $o) > set_char_real).
% 3.21/1.75  thf(func_def_172, type, collec633296133e_real: ((variable > real) > $o) > set_variable_real).
% 3.21/1.75  thf(func_def_173, type, collec1042577836e_real: (produc1863992257e_real > $o) > set_Pr1530225953e_real).
% 3.21/1.75  thf(func_def_174, type, image_1599134823e_real: ((variable > real) > variable > real) > set_variable_real > set_variable_real).
% 3.21/1.75  thf(func_def_175, type, image_448624581real_o: (produc2070499431real_o > produc2070499431real_o) > set_Pr1053253703real_o > set_Pr1053253703real_o).
% 3.21/1.75  thf(func_def_176, type, image_670686893e_real: (produc104944723e_real > produc104944723e_real) > set_Pr268868489e_real > set_Pr268868489e_real).
% 3.21/1.75  thf(func_def_177, type, image_1739334977e_real: (produc104944723e_real > produc1020032539e_real) > set_Pr268868489e_real > set_Pr307567739e_real).
% 3.21/1.75  thf(func_def_178, type, image_24290429real_o: (produc104944723e_real > produc1606031907real_o) > set_Pr268868489e_real > set_Pr366573913real_o).
% 3.21/1.75  thf(func_def_179, type, image_300296654e_real: (produc104944723e_real > produc1993135732e_real) > set_Pr268868489e_real > set_Pr397354154e_real).
% 3.21/1.75  thf(func_def_180, type, image_1347499973l_real: (produc96687023l_real > produc96687023l_real) > set_Pr1919093775l_real > set_Pr1919093775l_real).
% 3.21/1.75  thf(func_def_181, type, image_450993193e_real: (produc1020032539e_real > produc104944723e_real) > set_Pr307567739e_real > set_Pr268868489e_real).
% 3.21/1.75  thf(func_def_182, type, image_1823533253e_real: (produc1020032539e_real > produc1020032539e_real) > set_Pr307567739e_real > set_Pr307567739e_real).
% 3.21/1.75  thf(func_def_183, type, image_1698073930e_real: (produc1020032539e_real > produc1993135732e_real) > set_Pr307567739e_real > set_Pr397354154e_real).
% 3.21/1.75  thf(func_def_184, type, image_1532748485l_real: (produc1020032539e_real > produc729247771l_real) > set_Pr307567739e_real > set_Pr1730352763l_real).
% 3.21/1.75  thf(func_def_185, type, image_2028344445e_real: (produc1606031907real_o > produc104944723e_real) > set_Pr366573913real_o > set_Pr268868489e_real).
% 3.21/1.75  thf(func_def_186, type, image_1495813573e_real: (produc1120170903e_real > produc1120170903e_real) > set_Pr1588228599e_real > set_Pr1588228599e_real).
% 3.21/1.75  thf(func_def_187, type, image_1523756869r_real: (produc928489369r_real > produc928489369r_real) > set_Pr42335993r_real > set_Pr42335993r_real).
% 3.21/1.75  thf(func_def_188, type, image_426244814e_real: (produc1993135732e_real > produc104944723e_real) > set_Pr397354154e_real > set_Pr268868489e_real).
% 3.21/1.75  thf(func_def_189, type, image_479987936e_real: (produc1993135732e_real > produc1020032539e_real) > set_Pr397354154e_real > set_Pr307567739e_real).
% 3.21/1.75  thf(func_def_190, type, image_866442351e_real: (produc1993135732e_real > produc1993135732e_real) > set_Pr397354154e_real > set_Pr397354154e_real).
% 3.21/1.75  thf(func_def_191, type, image_1012526049r_real: (produc1993135732e_real > produc2139219430r_real) > set_Pr397354154e_real > set_Pr821009180r_real).
% 3.21/1.75  thf(func_def_192, type, image_711552709e_real: (produc729247771l_real > produc1020032539e_real) > set_Pr1730352763l_real > set_Pr307567739e_real).
% 3.21/1.75  thf(func_def_193, type, image_152725217e_real: (produc2139219430r_real > produc1993135732e_real) > set_Pr821009180r_real > set_Pr397354154e_real).
% 3.21/1.75  thf(func_def_194, type, uSubst1505767257e_repc: denotational_interp > char > real > denotational_interp).
% 3.21/1.75  thf(func_def_195, type, lex_pr2056840373e_real: set_Pr1053253703real_o > set_Pr1588228599e_real > set_Pr521705191e_real).
% 3.21/1.75  thf(func_def_196, type, lex_pr592421611e_real: set_Pr1919093775l_real > set_Pr521705191e_real > set_Pr1517071815e_real).
% 3.21/1.75  thf(func_def_197, type, lex_pr1793499278e_real: set_Pr42335993r_real > set_Pr1517071815e_real > set_Pr605909289e_real).
% 3.21/1.75  thf(func_def_198, type, same_f1185518776e_real: ((char > real > $o) > $o) > ((char > real > $o) > set_Pr1588228599e_real) > set_Pr521705191e_real).
% 3.21/1.75  thf(func_def_199, type, same_f1243548200e_real: ((char > real > real) > $o) > ((char > real > real) > set_Pr521705191e_real) > set_Pr1517071815e_real).
% 3.21/1.75  thf(func_def_200, type, same_f764716049e_real: ((char > real) > $o) > ((char > real) > set_Pr1517071815e_real) > set_Pr605909289e_real).
% 3.21/1.75  thf(func_def_201, type, member_char_real_o: (char > real > $o) > set_char_real_o > $o).
% 3.21/1.75  thf(func_def_202, type, member312374654l_real: (char > real > real) > set_char_real_real > $o).
% 3.21/1.75  thf(func_def_203, type, member2042895986e_real: (char > set_variable_real > set_variable_real) > set_ch845833233e_real > $o).
% 3.21/1.75  thf(func_def_204, type, member_char_real: (char > real) > set_char_real > $o).
% 3.21/1.75  thf(func_def_205, type, member_variable_real: (variable > real) > set_variable_real > $o).
% 3.21/1.75  thf(func_def_206, type, member1795186320real_o: produc2070499431real_o > set_Pr1053253703real_o > $o).
% 3.21/1.75  thf(func_def_207, type, member1871517162e_real: produc104944723e_real > set_Pr268868489e_real > $o).
% 3.21/1.75  thf(func_def_208, type, member1801875544l_real: produc96687023l_real > set_Pr1919093775l_real > $o).
% 3.21/1.75  thf(func_def_209, type, member544802500e_real: produc1020032539e_real > set_Pr307567739e_real > $o).
% 3.21/1.75  thf(func_def_210, type, member1225120698real_o: produc1606031907real_o > set_Pr366573913real_o > $o).
% 3.21/1.75  thf(func_def_211, type, member625963584e_real: produc1120170903e_real > set_Pr1588228599e_real > $o).
% 3.21/1.75  thf(func_def_212, type, member1086859330r_real: produc928489369r_real > set_Pr42335993r_real > $o).
% 3.21/1.75  thf(func_def_213, type, member1491807627e_real: produc1993135732e_real > set_Pr397354154e_real > $o).
% 3.21/1.75  thf(func_def_214, type, member561592938e_real: produc1863992257e_real > set_Pr1530225953e_real > $o).
% 3.21/1.75  thf(func_def_215, type, member254017732l_real: produc729247771l_real > set_Pr1730352763l_real > $o).
% 3.21/1.75  thf(func_def_216, type, member2016544560e_real: produc1416364679e_real > set_Pr521705191e_real > $o).
% 3.21/1.75  thf(func_def_217, type, member1637891325r_real: produc2139219430r_real > set_Pr821009180r_real > $o).
% 3.21/1.75  thf(func_def_218, type, member1778419728e_real: produc199503591e_real > set_Pr1517071815e_real > $o).
% 3.21/1.75  thf(func_def_219, type, member1966130802e_real: produc1014656201e_real > set_Pr605909289e_real > $o).
% 3.21/1.75  thf(func_def_220, type, i: denotational_interp).
% 3.21/1.75  thf(func_def_221, type, d: real).
% 3.21/1.75  thf(func_def_222, type, f: char).
% 3.21/1.75  thf(func_def_235, type, sK0: produc1993135732e_real > char > set_variable_real > set_variable_real).
% 3.21/1.75  thf(func_def_236, type, sK1: produc1993135732e_real > char > real > $o).
% 3.21/1.75  thf(func_def_237, type, sK2: produc1993135732e_real > char > real > real).
% 3.21/1.75  thf(func_def_238, type, sK3: produc1993135732e_real > char > real).
% 3.21/1.75  thf(func_def_239, type, sK4: (produc1993135732e_real > $o) > char > real > real).
% 3.21/1.75  thf(func_def_240, type, sK5: (produc1993135732e_real > $o) > char > real).
% 3.21/1.75  thf(func_def_241, type, sK6: (produc1993135732e_real > $o) > char > set_variable_real > set_variable_real).
% 3.21/1.75  thf(func_def_242, type, sK7: (produc1993135732e_real > $o) > char > real > $o).
% 3.21/1.75  thf(func_def_243, type, sK8: (produc1020032539e_real > $o) > produc104944723e_real).
% 3.21/1.75  thf(func_def_244, type, sK9: (produc1020032539e_real > $o) > char > real > real).
% 3.21/1.75  thf(func_def_245, type, sK10: (produc1993135732e_real > $o) > char > real).
% 3.21/1.75  thf(func_def_246, type, sK11: (produc1993135732e_real > $o) > produc1020032539e_real).
% 3.21/1.75  thf(func_def_247, type, sK12: produc1020032539e_real > char > set_variable_real > set_variable_real).
% 3.21/1.75  thf(func_def_248, type, sK13: produc1020032539e_real > char > real > real).
% 3.21/1.75  thf(func_def_249, type, sK14: produc1020032539e_real > char > real > $o).
% 3.21/1.75  thf(func_def_250, type, sK15: produc1993135732e_real > produc104944723e_real).
% 3.21/1.75  thf(func_def_251, type, sK16: produc1993135732e_real > char > real).
% 3.21/1.75  thf(func_def_252, type, sK17: produc1993135732e_real > char > real > real).
% 3.21/1.75  thf(func_def_253, type, sK18: produc104944723e_real > char > set_variable_real > set_variable_real).
% 3.21/1.75  thf(func_def_254, type, sK19: produc104944723e_real > char > real > $o).
% 3.21/1.75  thf(func_def_255, type, sK20: (produc1020032539e_real > $o) > char > real > real).
% 3.21/1.75  thf(func_def_256, type, sK21: (produc1020032539e_real > $o) > char > real > $o).
% 3.21/1.75  thf(func_def_257, type, sK22: (produc1020032539e_real > $o) > char > set_variable_real > set_variable_real).
% 3.21/1.75  thf(func_def_258, type, sK23: (produc1993135732e_real > $o) > produc104944723e_real).
% 3.21/1.75  thf(func_def_259, type, sK24: (produc1993135732e_real > $o) > char > real > real).
% 3.21/1.75  thf(func_def_260, type, sK25: (produc1993135732e_real > $o) > char > real).
% 3.21/1.75  thf(func_def_261, type, sK26: (produc104944723e_real > $o) > char > real > $o).
% 3.21/1.75  thf(func_def_262, type, sK27: (produc104944723e_real > $o) > char > set_variable_real > set_variable_real).
% 3.21/1.75  thf(func_def_263, type, sK28: produc1993135732e_real > char > real).
% 3.21/1.75  thf(func_def_264, type, sK29: produc1993135732e_real > produc1020032539e_real).
% 3.21/1.75  thf(func_def_265, type, sK30: produc104944723e_real > char > real > $o).
% 3.21/1.75  thf(func_def_266, type, sK31: produc104944723e_real > char > set_variable_real > set_variable_real).
% 3.21/1.75  thf(func_def_267, type, sK32: (produc104944723e_real > $o) > char > set_variable_real > set_variable_real).
% 3.21/1.75  thf(func_def_268, type, sK33: (produc104944723e_real > $o) > char > real > $o).
% 3.21/1.75  thf(func_def_269, type, sK34: produc1020032539e_real > produc104944723e_real).
% 3.21/1.75  thf(func_def_270, type, sK35: produc1020032539e_real > char > real > real).
% 3.21/1.75  thf(func_def_271, type, sK36: (produc1020032539e_real > $o) > char > real > real).
% 3.21/1.75  thf(func_def_272, type, sK37: (produc1020032539e_real > $o) > produc104944723e_real).
% 3.21/1.75  thf(func_def_273, type, sK38: produc1993135732e_real > produc1020032539e_real).
% 3.21/1.75  thf(func_def_274, type, sK39: produc1993135732e_real > char > real).
% 3.21/1.75  thf(func_def_275, type, sK40: (produc1993135732e_real > $o) > produc1020032539e_real).
% 3.21/1.75  thf(func_def_276, type, sK41: (produc1993135732e_real > $o) > char > real).
% 3.21/1.75  thf(func_def_277, type, sK42: produc1020032539e_real > char > real > real).
% 3.21/1.75  thf(func_def_278, type, sK43: produc1020032539e_real > produc104944723e_real).
% 3.21/1.75  thf(func_def_280, type, ph45: !>[X0: $tType]:(X0)).
% 3.21/1.75  thf(f981,plain,(
% 3.21/1.75    $false),
% 3.21/1.75    inference(subsumption_resolution,[status(thm)],[f963,f923])).
% 3.21/1.75  thf(f923,plain,(
% 3.21/1.75    ( ! [X2 : char > real > real,X3 : char > real > $o,X0 : char > real,X1 : char > set_variable_real > set_variable_real] : (((denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ X0 @ (produc141013715e_real @ X2 @ (produc2007437005e_real @ X3 @ X1))))) = X3)) )),
% 3.21/1.75    inference(cnf_transformation,[status(thm)],[f828])).
% 3.21/1.75  thf(f828,plain,(
% 3.21/1.75    ! [X0 : char > real,X1 : char > set_variable_real > set_variable_real,X2 : char > real > real,X3 : char > real > $o] : ((denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ X0 @ (produc141013715e_real @ X2 @ (produc2007437005e_real @ X3 @ X1))))) = X3)),
% 3.21/1.75    inference(rectify,[status(thm)],[f1])).
% 3.21/1.75  thf(f1,axiom,(
% 3.21/1.75    ! [X0 : char > real,X3 : char > set_variable_real > set_variable_real,X1 : char > real > real,X2 : char > real > $o] : ((denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ X0 @ (produc141013715e_real @ X1 @ (produc2007437005e_real @ X2 @ X3))))) = X2)),
% 3.21/1.75    file('/export/starexec/sandbox2/tmp/tmp.zmmaJJm1aw/DTF2THF_2570.p',fact_0_Preds__mkinterp)).
% 3.21/1.75  thf(f963,plain,(
% 3.21/1.75    ((denotational_Preds @ i) != (denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ (^[Y0 : char]: (if_real @ (f = Y0) @ d @ (denotational_Consts @ i @ Y0))) @ (produc141013715e_real @ (denotational_Funcs @ i) @ (produc2007437005e_real @ (denotational_Preds @ i) @ (denotational_Games @ i)))))))),
% 3.21/1.75    inference(cnf_transformation,[status(thm)],[f825])).
% 3.21/1.75  thf(f825,plain,(
% 3.21/1.75    ((denotational_Preds @ i) != (denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ (^[Y0 : char]: (if_real @ (f = Y0) @ d @ (denotational_Consts @ i @ Y0))) @ (produc141013715e_real @ (denotational_Funcs @ i) @ (produc2007437005e_real @ (denotational_Preds @ i) @ (denotational_Games @ i)))))))),
% 3.21/1.75    inference(flattening,[status(thm)],[f734])).
% 3.21/1.75  thf(f734,plain,(
% 3.21/1.75    ~((denotational_Preds @ i) = (denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ (^[Y0 : char]: (if_real @ (f = Y0) @ d @ (denotational_Consts @ i @ Y0))) @ (produc141013715e_real @ (denotational_Funcs @ i) @ (produc2007437005e_real @ (denotational_Preds @ i) @ (denotational_Games @ i)))))))),
% 3.21/1.75    inference(fool_elimination,[status(thm)],[f733])).
% 3.21/1.75  thf(f733,plain,(
% 3.21/1.75    ~((denotational_Preds @ i) = (denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ (^[X0 : char] : (if_real @ (f = X0) @ d @ (denotational_Consts @ i @ X0))) @ (produc141013715e_real @ (denotational_Funcs @ i) @ (produc2007437005e_real @ (denotational_Preds @ i) @ (denotational_Games @ i)))))))),
% 3.21/1.75    inference(rectify,[status(thm)],[f359])).
% 3.21/1.75  thf(f359,negated_conjecture,(
% 3.21/1.75    ~((denotational_Preds @ i) = (denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ (^[X9 : char] : (if_real @ (f = X9) @ d @ (denotational_Consts @ i @ X9))) @ (produc141013715e_real @ (denotational_Funcs @ i) @ (produc2007437005e_real @ (denotational_Preds @ i) @ (denotational_Games @ i)))))))),
% 3.21/1.75    inference(negated_conjecture,[status(cth)],[f358])).
% 3.21/1.75  thf(f358,conjecture,(
% 3.21/1.75    ((denotational_Preds @ i) = (denotational_Preds @ (denota1150374853interp @ (produc2125489830e_real @ (^[X9 : char] : (if_real @ (f = X9) @ d @ (denotational_Consts @ i @ X9))) @ (produc141013715e_real @ (denotational_Funcs @ i) @ (produc2007437005e_real @ (denotational_Preds @ i) @ (denotational_Games @ i)))))))),
% 3.21/1.75    file('/export/starexec/sandbox2/tmp/tmp.zmmaJJm1aw/DTF2THF_2570.p',conj_0)).
% 3.21/1.75  % SZS output end Proof for DTF2THF_2570
% 3.21/1.75  % (2839)------------------------------
% 3.21/1.75  % (2839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 3.21/1.75  % (2839)Termination reason: Refutation
% 3.21/1.75  
% 3.21/1.75  % (2839)Memory used [KB]: 6908
% 3.21/1.75  % (2839)Time elapsed: 0.038 s
% 3.21/1.75  % (2839)Instructions burned: 60 (million)
% 3.21/1.75  % (2839)------------------------------
% 3.21/1.75  % (2839)------------------------------
% 3.21/1.75  % (2833)Success in time 0.084 s
%------------------------------------------------------------------------------