TSTP Solution File: ITP298_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.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 : Mon May 20 23:09:08 EDT 2024

% Result   : Theorem 26.56s 4.23s
% Output   : Refutation 26.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      : 1469
% Syntax   : Number of formulae    : 1513 (  48 unt;1454 typ;   0 def)
%            Number of atoms       :   71 (  53 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  15   ~;   7   |;   0   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of FOOLs       :    2 (   2 fml;   0 var)
%            Number of types       :  153 ( 151 usr;   1 ari)
%            Number of type conns  : 2740 (1239   >;1501   *;   0   +;   0  <<)
%            Number of predicates  :  241 ( 239 usr;   1 prp; 0-4 aty)
%            Number of functors    : 1064 (1064 usr;  64 con; 0-7 aty)
%            Number of variables   :  126 ( 114   !;  12   ?; 126   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'ZF_ZF_Expression_ZF_ZF_unit_TermEquivClT_ext_Expression_set$': $tType ).

tff(type_def_6,type,
    'ZF_ZF_Language_set$': $tType ).

tff(type_def_7,type,
    'ZF_ZF_Expression_ZF_ZF_unit_TermEquivClT_ext_fun$': $tType ).

tff(type_def_8,type,
    'Unit_ZF_set_fun_set$': $tType ).

tff(type_def_9,type,
    'ZF_ZF_Language_unit_fun$': $tType ).

tff(type_def_10,type,
    'ZF_ZF_Language_ZF_ZF_Language_bool_fun_fun$': $tType ).

tff(type_def_11,type,
    'Unit_set$': $tType ).

tff(type_def_12,type,
    'ZF_ZF_Expression_ZF_set_set_fun$': $tType ).

tff(type_def_13,type,
    'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$': $tType ).

tff(type_def_14,type,
    'ZF_set$': $tType ).

tff(type_def_15,type,
    'ZF_ZF_Expression_unit_fun_set$': $tType ).

tff(type_def_16,type,
    'ZF_ZF_Language_unit_set_fun$': $tType ).

tff(type_def_17,type,
    'Unit_unit_fun$': $tType ).

tff(type_def_18,type,
    'ZF_ZF_ZF_Language_IType$': $tType ).

tff(type_def_19,type,
    'ZF_set_ZF_ZF_Expression_unit_Signature_ext$': $tType ).

tff(type_def_20,type,
    'Unit_set_unit_set_fun$': $tType ).

tff(type_def_21,type,
    'ZF_ZF_prod_set$': $tType ).

tff(type_def_22,type,
    'ZF_set_set$': $tType ).

tff(type_def_23,type,
    'ZF_set_ZF_set_fun$': $tType ).

tff(type_def_24,type,
    'ZF_ZF_ZF_Language_bool_fun_fun$': $tType ).

tff(type_def_25,type,
    'ZF_ZF_set_fun$': $tType ).

tff(type_def_26,type,
    'ZF_ZF_unit_TermEquivClT_ext_bool_fun$': $tType ).

tff(type_def_27,type,
    'ZF_ZF_Expression_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$': $tType ).

tff(type_def_28,type,
    'ZF_ZF_prod_ZF_fun$': $tType ).

tff(type_def_29,type,
    'ZF_ZF_ZF_unit_TermEquivClT_ext_set_fun$': $tType ).

tff(type_def_30,type,
    'Unit_ZF_ZF_Expression_set_fun$': $tType ).

tff(type_def_31,type,
    'ZF_unit_set_fun$': $tType ).

tff(type_def_32,type,
    'Unit_ZF_ZF_Expression_fun$': $tType ).

tff(type_def_33,type,
    'ZF_ZF_Language_ZF_bool_fun_fun$': $tType ).

tff(type_def_34,type,
    'ZF_ZF_Expression$': $tType ).

tff(type_def_35,type,
    'ZF_ZF_Expression_ZF_ZF_Expression_Expression_set$': $tType ).

tff(type_def_36,type,
    'ZF_set_ZF_ZF_Language_set_fun$': $tType ).

tff(type_def_37,type,
    'Unit_unit_fun_unit_unit_fun_fun$': $tType ).

tff(type_def_38,type,
    'ZF_ZF_IType$': $tType ).

tff(type_def_39,type,
    'ZF_set_ZF_unit_Signature_ext$': $tType ).

tff(type_def_40,type,
    'Unit_ZF_ZF_Language_fun$': $tType ).

tff(type_def_41,type,
    'Unit_ZF_fun$': $tType ).

tff(type_def_42,type,
    'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_Expression_fun$': $tType ).

tff(type_def_43,type,
    'ZF_ZF_set_unit_Signature_ext$': $tType ).

tff(type_def_44,type,
    'ZF_set_ZF_set_fun_set$': $tType ).

tff(type_def_45,type,
    'ZF_set_ZF_set_unit_Signature_ext$': $tType ).

tff(type_def_46,type,
    'ZF_ZF_ZF_Expression_set_fun$': $tType ).

tff(type_def_47,type,
    'ZF_ZF_ZF_Expression_fun$': $tType ).

tff(type_def_48,type,
    'ZF_ZF_Language_unit_fun_set$': $tType ).

tff(type_def_49,type,
    'ZF_set_unit_set_fun$': $tType ).

tff(type_def_50,type,
    'ZF_ZF_Expression_ZF_ZF_Expression_fun_set$': $tType ).

tff(type_def_51,type,
    'ZF_ZF_prod$': $tType ).

tff(type_def_52,type,
    'ZF_ZF_Language$': $tType ).

tff(type_def_53,type,
    'ZF_ZF_set_set_fun$': $tType ).

tff(type_def_54,type,
    'ZF_set_ZF_ZF_Expression_fun$': $tType ).

tff(type_def_55,type,
    'ZF_set_ZF_ZF_Language_fun_set$': $tType ).

tff(type_def_56,type,
    'ZF_ZF_ZF_fun_fun$': $tType ).

tff(type_def_57,type,
    'ZF_ZF_Expression_ZF_set_fun_set$': $tType ).

tff(type_def_58,type,
    'ZF_set_unit_fun$': $tType ).

tff(type_def_59,type,
    'ZF_unit_fun_set$': $tType ).

tff(type_def_60,type,
    'ZF_ZF_Expression_ZF_set_fun$': $tType ).

tff(type_def_61,type,
    'Unit_unit_prod_unit_fun$': $tType ).

tff(type_def_62,type,
    'ZF_ZF_ZF_Expression_IType$': $tType ).

tff(type_def_63,type,
    'ZF_ZF_ZF_Expression_bool_fun_fun$': $tType ).

tff(type_def_64,type,
    'Unit_unit_unit_fun_fun_unit_unit_unit_fun_fun_fun$': $tType ).

tff(type_def_65,type,
    'Unit_unit_unit_Category_ext$': $tType ).

tff(type_def_66,type,
    'ZF_ZF_ZF_ZF_unit_Interpretation_ext$': $tType ).

tff(type_def_67,type,
    'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$': $tType ).

tff(type_def_68,type,
    'Unit_ZF_fun_set$': $tType ).

tff(type_def_69,type,
    'ZF_ZF_ZF_Expression_fun_set$': $tType ).

tff(type_def_70,type,
    'Nat$': $tType ).

tff(type_def_71,type,
    'ZF_ZF_ZF_Language_fun$': $tType ).

tff(type_def_72,type,
    'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_Expression_Expression_ZF_ZF_Expression_fun$': $tType ).

tff(type_def_73,type,
    'ZF_ZF_Language_ZF_unit_Signature_ext$': $tType ).

tff(type_def_74,type,
    'ZF_ZF_prod_ZF_fun_set$': $tType ).

tff(type_def_75,type,
    'ZF_ZF_fun$': $tType ).

tff(type_def_76,type,
    'ZF_ZF_prod_bool_fun$': $tType ).

tff(type_def_77,type,
    'ZF_ZF_Expression_ZF_unit_Signature_ext$': $tType ).

tff(type_def_78,type,
    'ZF_ZF_Language_unit_fun_unit_fun$': $tType ).

tff(type_def_79,type,
    'ZF_ZF_fun_set$': $tType ).

tff(type_def_80,type,
    'ZF_ZF_Language_ZF_set_set_fun$': $tType ).

tff(type_def_81,type,
    'Unit_unit_unit_fun_fun$': $tType ).

tff(type_def_82,type,
    'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$': $tType ).

tff(type_def_83,type,
    'ZF_ZF_Expression_ZF_bool_fun_fun$': $tType ).

tff(type_def_84,type,
    'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_fun$': $tType ).

tff(type_def_85,type,
    'ZF_ZF_unit_Signature_ext$': $tType ).

tff(type_def_86,type,
    'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression$': $tType ).

tff(type_def_87,type,
    'ZF_ZF_Language_ZF_IType$': $tType ).

tff(type_def_88,type,
    'ZF_ZF_Expression_ZF_fun$': $tType ).

tff(type_def_89,type,
    'ZF_ZF_Expression_bool_fun$': $tType ).

tff(type_def_90,type,
    'ZF_ZF_fun_ZF_ZF_fun_fun$': $tType ).

tff(type_def_91,type,
    'ZF_unit_fun$': $tType ).

tff(type_def_92,type,
    'ZF_set_unit_fun_unit_fun$': $tType ).

tff(type_def_93,type,
    'ZF_set_ZF_fun_set$': $tType ).

tff(type_def_94,type,
    'ZF_ZF_unit_TermEquivClT_ext_set$': $tType ).

tff(type_def_95,type,
    'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$': $tType ).

tff(type_def_96,type,
    'ZF_ZF_set_bool_fun_fun$': $tType ).

tff(type_def_97,type,
    'ZF_ZF_set_fun_set$': $tType ).

tff(type_def_98,type,
    'ZF_set_unit_fun_set$': $tType ).

tff(type_def_99,type,
    'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$': $tType ).

tff(type_def_100,type,
    'ZF_set_ZF_ZF_Language_unit_Signature_ext$': $tType ).

tff(type_def_101,type,
    'Unit_unit_fun_set$': $tType ).

tff(type_def_102,type,
    'ZF_ZF_Language_ZF_fun$': $tType ).

tff(type_def_103,type,
    'ZF_ZF_Language_ZF_fun_set$': $tType ).

tff(type_def_104,type,
    'ZF_ZF_Language_ZF_set_fun$': $tType ).

tff(type_def_105,type,
    'Unit_ZF_ZF_Language_fun_set$': $tType ).

tff(type_def_106,type,
    'ZF_ZF_Expression_ZF_IType$': $tType ).

tff(type_def_107,type,
    'ZF_set_ZF_IType$': $tType ).

tff(type_def_108,type,
    'ZF_ZF_ZF_unit_TermEquivClT_ext_fun_set$': $tType ).

tff(type_def_109,type,
    'ZF_set_ZF_set_set_fun$': $tType ).

tff(type_def_110,type,
    'Unit_unit_prod_bool_fun$': $tType ).

tff(type_def_111,type,
    'ZF_ZF_ZF_Expression_unit_Signature_ext$': $tType ).

tff(type_def_112,type,
    'ZF_ZF_Expression_ZF_fun_set$': $tType ).

tff(type_def_113,type,
    'ZF_set_ZF_set_IType$': $tType ).

tff(type_def_114,type,
    'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_Expression_Expression_set$': $tType ).

tff(type_def_115,type,
    'ZF_ZF_unit_TermEquivClT_ext$': $tType ).

tff(type_def_116,type,
    'ZF_ZF_unit_Category_ext$': $tType ).

tff(type_def_117,type,
    'ZF_set_ZF_bool_fun_fun$': $tType ).

tff(type_def_118,type,
    'ZF_set_ZF_set_bool_fun_fun$': $tType ).

tff(type_def_119,type,
    'ZF_ZF_Language_bool_fun$': $tType ).

tff(type_def_120,type,
    'ZF_ZF_Expression_unit_set_fun$': $tType ).

tff(type_def_121,type,
    'Unit_unit_prod$': $tType ).

tff(type_def_122,type,
    'ZF_ZF_unit_Axioms_ext$': $tType ).

tff(type_def_123,type,
    'ZF_set_ZF_ZF_Expression_set_fun$': $tType ).

tff(type_def_124,type,
    'ZF_set_ZF_fun$': $tType ).

tff(type_def_125,type,
    'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_set$': $tType ).

tff(type_def_126,type,
    'Unit_unit_prod_set$': $tType ).

tff(type_def_127,type,
    'ZF_ZF_Expression_ZF_ZF_Expression_bool_fun_fun$': $tType ).

tff(type_def_128,type,
    'ZF_bool_fun$': $tType ).

tff(type_def_129,type,
    'Unit_ZF_ZF_Expression_fun_set$': $tType ).

tff(type_def_130,type,
    'ZF_ZF_Language_ZF_set_bool_fun_fun$': $tType ).

tff(type_def_131,type,
    'ZF_ZF_Expression_ZF_ZF_Expression_Expression_ZF_ZF_Expression_fun$': $tType ).

tff(type_def_132,type,
    'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$': $tType ).

tff(type_def_133,type,
    'ZF_ZF_Expression_ZF_set_bool_fun_fun$': $tType ).

tff(type_def_134,type,
    'Unit_ZF_set_fun$': $tType ).

tff(type_def_135,type,
    'ZF_ZF_ZF_Language_set_fun$': $tType ).

tff(type_def_136,type,
    'ZF_set_ZF_ZF_Expression_fun_set$': $tType ).

tff(type_def_137,type,
    'ZF_set_bool_fun$': $tType ).

tff(type_def_138,type,
    'ZF_ZF_set_IType$': $tType ).

tff(type_def_139,type,
    'ZF_ZF_ZF_Language_fun_set$': $tType ).

tff(type_def_140,type,
    'Unit$': $tType ).

tff(type_def_141,type,
    'ZF_set_ZF_ZF_Language_fun$': $tType ).

tff(type_def_142,type,
    'ZF_ZF_Language_ZF_set_IType$': $tType ).

tff(type_def_143,type,
    'Unit_ZF_set_set_fun$': $tType ).

tff(type_def_144,type,
    'ZF$': $tType ).

tff(type_def_145,type,
    'ZF_ZF_Expression_ZF_ZF_Expression_set_fun$': $tType ).

tff(type_def_146,type,
    'ZF_ZF_Language_ZF_set_fun_set$': $tType ).

tff(type_def_147,type,
    'ZF_ZF_Expression_unit_fun$': $tType ).

tff(type_def_148,type,
    'ZF_ZF_Expression_set$': $tType ).

tff(type_def_149,type,
    'Unit_ZF_ZF_Language_set_fun$': $tType ).

tff(type_def_150,type,
    'Unit_unit_set_fun$': $tType ).

tff(type_def_151,type,
    'ZF_ZF_ZF_Language_unit_Signature_ext$': $tType ).

tff(type_def_152,type,
    'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$': $tType ).

tff(type_def_153,type,
    'ZF_ZF_Expression_ZF_ZF_Expression_fun$': $tType ).

tff(type_def_154,type,
    'ZF_ZF_Expression_ZF_set_IType$': $tType ).

tff(type_def_155,type,
    'ZF_ZF_bool_fun_fun$': $tType ).

tff(func_def_0,type,
    'funsignature_abbrev$a': ( 'ZF$' * 'ZF_set_ZF_unit_Signature_ext$' ) > 'ZF_set_ZF_set_bool_fun_fun$' ).

tff(func_def_1,type,
    'bot$f': 'ZF_ZF_fun_set$' ).

tff(func_def_2,type,
    'fun_app$u': ( 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF$' ) > 'ZF_ZF_Expression_bool_fun$' ).

tff(func_def_3,type,
    'restrict$i': ( 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_set_ZF_set_fun$' ).

tff(func_def_4,type,
    'funsignature_abbrev$c': ( 'ZF$' * 'ZF_ZF_Expression_ZF_unit_Signature_ext$' ) > 'ZF_ZF_Expression_ZF_ZF_Expression_bool_fun_fun$' ).

tff(func_def_5,type,
    'top$c': 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_set$' ).

tff(func_def_6,type,
    'more$d': 'ZF_ZF_unit_Signature_ext$' > 'Unit$' ).

tff(func_def_7,type,
    'top$e': 'ZF_ZF_Expression_ZF_ZF_unit_TermEquivClT_ext_Expression_set$' ).

tff(func_def_8,type,
    'piE$h': ( 'ZF_set$' * 'ZF_ZF_set_set_fun$' ) > 'ZF_ZF_set_fun_set$' ).

tff(func_def_9,type,
    'baseTypes$e': 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_10,type,
    'uut$': 'ZF_set_ZF_set_fun$' ).

tff(func_def_11,type,
    'fun_app$ai': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_unit_TermEquivClT_ext$' ) > 'ZF_ZF_unit_TermEquivClT_ext$' ).

tff(func_def_12,type,
    'bij_betw$g': ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_set_bool_fun$' ).

tff(func_def_13,type,
    'id_update$a': ( 'Unit_unit_fun_unit_unit_fun_fun$' * 'Unit_unit_unit_Category_ext$' ) > 'Unit_unit_unit_Category_ext$' ).

tff(func_def_14,type,
    'wellDefined$': 'ZF_ZF_unit_Signature_ext$' > 'ZF_ZF_Language_bool_fun$' ).

tff(func_def_15,type,
    'piE$a': ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF_ZF_ZF_Expression_fun_set$' ).

tff(func_def_16,type,
    'cod$a': 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_17,type,
    'collect$f': 'ZF_ZF_Expression_bool_fun$' > 'ZF_ZF_Expression_set$' ).

tff(func_def_18,type,
    'piE$b': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression_ZF_fun_set$' ).

tff(func_def_19,type,
    'baseTypes$b': 'ZF_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_20,type,
    'compose$e': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_Expression_ZF_fun$' ) > 'ZF_ZF_Expression_ZF_fun$' ).

tff(func_def_21,type,
    'fun_app$av': ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_22,type,
    'pi$b': ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF_ZF_ZF_Expression_fun_set$' ).

tff(func_def_23,type,
    'comp_update$a': ( 'Unit_unit_unit_fun_fun_unit_unit_unit_fun_fun_fun$' * 'Unit_unit_unit_Category_ext$' ) > 'Unit_unit_unit_Category_ext$' ).

tff(func_def_24,type,
    'uuf$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_25,type,
    'collect$b': 'ZF_ZF_Language_bool_fun$' > 'ZF_ZF_Language_set$' ).

tff(func_def_26,type,
    'baseTypes$d': 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF_ZF_Language_set$' ).

tff(func_def_27,type,
    'image$a': ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_set$' ).

tff(func_def_28,type,
    'fun_app$al': ( 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_29,type,
    'uvi$': 'ZF_ZF_Language_set$' > 'ZF_set_ZF_ZF_Language_set_fun$' ).

tff(func_def_30,type,
    'baseTypes$': 'ZF_ZF_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_31,type,
    'restrict$t': ( 'ZF_set_unit_fun$' * 'ZF_set_set$' ) > 'ZF_set_unit_fun$' ).

tff(func_def_32,type,
    'uuq$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_unit_TermEquivClT_ext_bool_fun$' ).

tff(func_def_33,type,
    'uva$': 'ZF_set$' > 'ZF_ZF_Expression_ZF_set_fun$' ).

tff(func_def_34,type,
    'uve$': 'ZF_set_set$' > 'ZF_ZF_Language_ZF_set_set_fun$' ).

tff(func_def_35,type,
    'image$i': ( 'ZF_set_unit_fun_unit_fun$' * 'ZF_set_unit_fun_set$' ) > 'Unit_set$' ).

tff(func_def_36,type,
    'extensional$c': 'ZF_set_set$' > 'ZF_set_ZF_fun_set$' ).

tff(func_def_37,type,
    'undefined$c': 'ZF_ZF_Language$' ).

tff(func_def_38,type,
    'restrict$q': ( 'ZF_unit_fun$' * 'ZF_set$' ) > 'ZF_unit_fun$' ).

tff(func_def_39,type,
    'uvp$': 'Unit_unit_fun$' ).

tff(func_def_40,type,
    'pi$j': ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_set_fun$' ) > 'ZF_ZF_Language_ZF_set_fun_set$' ).

tff(func_def_41,type,
    'image$': ( 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_set$' ) > 'ZF_ZF_unit_TermEquivClT_ext_set$' ).

tff(func_def_42,type,
    'fun_app$k': ( 'ZF_set_unit_fun_unit_fun$' * 'ZF_set_unit_fun$' ) > 'Unit$' ).

tff(func_def_43,type,
    'inverse_rel$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_bool_fun_fun$' ).

tff(func_def_44,type,
    'obj_update$': 'ZF_set_ZF_set_fun$' > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' ).

tff(func_def_45,type,
    'image$f': ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_set_set$' ).

tff(func_def_46,type,
    'fun_app$p': ( 'ZF_ZF_ZF_Language_fun$' * 'ZF$' ) > 'ZF_ZF_Language$' ).

tff(func_def_47,type,
    'set2_IType$a': 'ZF_ZF_set_IType$' > 'ZF_set_set$' ).

tff(func_def_48,type,
    'category_ext$a': ( 'Unit_set$' * 'Unit_set$' * 'Unit_unit_fun$' * 'Unit_unit_fun$' * 'Unit_unit_fun$' * 'Unit_unit_unit_fun_fun$' * 'Unit$' ) > 'Unit_unit_unit_Category_ext$' ).

tff(func_def_49,type,
    'fun_app$o': ( 'ZF_ZF_bool_fun_fun$' * 'ZF$' ) > 'ZF_bool_fun$' ).

tff(func_def_50,type,
    'pi$d': ( 'ZF_set$' * 'ZF_ZF_set_set_fun$' ) > 'ZF_ZF_set_fun_set$' ).

tff(func_def_51,type,
    'pi$t': ( 'Unit_set$' * 'Unit_ZF_ZF_Language_set_fun$' ) > 'Unit_ZF_ZF_Language_fun_set$' ).

tff(func_def_52,type,
    'equation$': ( 'ZF$' * 'ZF_ZF_Expression$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_ZF_Language_fun$' ).

tff(func_def_53,type,
    'category_ext$': ( 'ZF_set$' * 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_ZF_fun_fun$' * 'Unit$' ) > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_54,type,
    'uuw$': 'ZF_ZF_Expression_set$' > 'ZF_ZF_ZF_Expression_set_fun$' ).

tff(func_def_55,type,
    'piE$f': ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > 'ZF_ZF_Language_unit_fun_set$' ).

tff(func_def_56,type,
    'bot$l': 'ZF_ZF_Language_ZF_fun_set$' ).

tff(func_def_57,type,
    'fun_app$ao': ( 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_58,type,
    'fun_app$ac': ( 'ZF_ZF_set_fun$' * 'ZF$' ) > 'ZF_set$' ).

tff(func_def_59,type,
    'bot$o': 'ZF_ZF_Language_ZF_set_fun_set$' ).

tff(func_def_60,type,
    'baseTypes$a': 'ZF_set_ZF_unit_Signature_ext$' > 'ZF_set_set$' ).

tff(func_def_61,type,
    'set1_IType$b': 'ZF_set_ZF_IType$' > 'ZF_set_set$' ).

tff(func_def_62,type,
    'inv_into$b': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' ) > 'ZF_ZF_ZF_Expression_fun$' ).

tff(func_def_63,type,
    'fun_app$ah': ( 'ZF_set_ZF_set_set_fun$' * 'ZF_set$' ) > 'ZF_set_set$' ).

tff(func_def_64,type,
    'extensional$d': 'ZF_set$' > 'ZF_ZF_ZF_Expression_fun_set$' ).

tff(func_def_65,type,
    'compDefined$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_bool_fun_fun$' ).

tff(func_def_66,type,
    'fun_app$bn': ( 'Unit_ZF_fun$' * 'Unit$' ) > 'ZF$' ).

tff(func_def_67,type,
    'more_update$b': ( 'Unit_unit_fun$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ) > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).

tff(func_def_68,type,
    'funsignature_abbrev$d': ( 'ZF$' * 'ZF_ZF_Language_ZF_unit_Signature_ext$' ) > 'ZF_ZF_Language_ZF_ZF_Language_bool_fun_fun$' ).

tff(func_def_69,type,
    'uvm$': 'ZF_ZF_ZF_Expression_set_fun$' ).

tff(func_def_70,type,
    'fun_app$bd': ( 'ZF_unit_set_fun$' * 'ZF$' ) > 'Unit_set$' ).

tff(func_def_71,type,
    'pi$n': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression_unit_fun_set$' ).

tff(func_def_72,type,
    'bij_betw$': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_set$' ) > 'ZF_set_bool_fun$' ).

tff(func_def_73,type,
    'uur$': 'ZF_ZF_fun$' ).

tff(func_def_74,type,
    'tDomain_update$': 'ZF_ZF_fun$' > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_fun$' ).

tff(func_def_75,type,
    'e$': 'ZF_ZF_Expression$' ).

tff(func_def_76,type,
    'axioms_ext$': ( 'ZF_ZF_Language_set$' * 'ZF_ZF_unit_Signature_ext$' * 'Unit$' ) > 'ZF_ZF_unit_Axioms_ext$' ).

tff(func_def_77,type,
    'canonicalComp$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_78,type,
    'pi$a': ( 'ZF_set$' * 'ZF_ZF_ZF_unit_TermEquivClT_ext_set_fun$' ) > 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun_set$' ).

tff(func_def_79,type,
    'insert$b': ( 'ZF_ZF_Expression_unit_fun$' * 'ZF_ZF_Expression_unit_fun_set$' ) > 'ZF_ZF_Expression_unit_fun_set$' ).

tff(func_def_80,type,
    'fun_app$v': ( 'ZF_ZF_ZF_unit_TermEquivClT_ext_set_fun$' * 'ZF$' ) > 'ZF_ZF_unit_TermEquivClT_ext_set$' ).

tff(func_def_81,type,
    'compose$f': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_fun$' ) > 'ZF_ZF_Expression_ZF_set_fun$' ).

tff(func_def_82,type,
    'insert$d': ( 'ZF_set_unit_fun$' * 'ZF_set_unit_fun_set$' ) > 'ZF_set_unit_fun_set$' ).

tff(func_def_83,type,
    'undefined$': 'ZF$' ).

tff(func_def_84,type,
    'fun_app$ag': ( 'ZF_ZF_set_set_fun$' * 'ZF$' ) > 'ZF_set_set$' ).

tff(func_def_85,type,
    'comp$b': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_86,type,
    'uuh$': ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_ZF_Expression_bool_fun_fun$' ).

tff(func_def_87,type,
    'iCategory$': 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_88,type,
    'set2_IType$e': 'ZF_ZF_Expression_ZF_IType$' > 'ZF_set$' ).

tff(func_def_89,type,
    'top$f': 'ZF_ZF_Expression_ZF_ZF_Expression_Expression_set$' ).

tff(func_def_90,type,
    'dom$a': 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_91,type,
    'image$g': ( 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_set_set$' ).

tff(func_def_92,type,
    'subst$': 'ZF_ZF_Expression$' > 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' ).

tff(func_def_93,type,
    'map_Expression$d': ( 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' ).

tff(func_def_94,type,
    'more$': 'ZF_ZF_unit_Category_ext$' > 'Unit$' ).

tff(func_def_95,type,
    'funsignature_abbrev$i': ( 'ZF_ZF_Language$' * 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' ) > 'ZF_set_ZF_set_bool_fun_fun$' ).

tff(func_def_96,type,
    'comp_update$': 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' ).

tff(func_def_97,type,
    'uvk$': 'Unit_unit_set_fun$' ).

tff(func_def_98,type,
    'uux$': 'ZF_set$' > 'ZF_ZF_set_fun$' ).

tff(func_def_99,type,
    'iSignature$': 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_100,type,
    'uvq$': 'Unit_unit_unit_fun_fun$' ).

tff(func_def_101,type,
    'theory$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_set$' ).

tff(func_def_102,type,
    'baseFunctions$b': 'ZF_ZF_set_unit_Signature_ext$' > 'ZF_set_set$' ).

tff(func_def_103,type,
    'sigCod$b': 'ZF_ZF_set_unit_Signature_ext$' > 'ZF_set_ZF_fun$' ).

tff(func_def_104,type,
    'restrict$o': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_set$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_fun$' ).

tff(func_def_105,type,
    'fun_app$w': ( 'ZF_ZF_ZF_Expression_set_fun$' * 'ZF$' ) > 'ZF_ZF_Expression_set$' ).

tff(func_def_106,type,
    'bot$c': 'ZF_ZF_Language_unit_fun_set$' ).

tff(func_def_107,type,
    'pi$q': ( 'Unit_set$' * 'Unit_unit_set_fun$' ) > 'Unit_unit_fun_set$' ).

tff(func_def_108,type,
    'map_Expression$': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$' ).

tff(func_def_109,type,
    'case_prod$': 'Unit_unit_unit_fun_fun$' > 'Unit_unit_prod_unit_fun$' ).

tff(func_def_110,type,
    'type$': 'ZF_ZF_ZF_Language_fun$' ).

tff(func_def_111,type,
    'map_Expression$b': ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ) > 'ZF_ZF_Expression_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$' ).

tff(func_def_112,type,
    'sigDom$f': 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_ZF_fun$' ).

tff(func_def_113,type,
    'piE$i': ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set_ZF_fun_set$' ).

tff(func_def_114,type,
    'more_update$a': ( 'Unit_unit_fun$' * 'Unit_unit_unit_Category_ext$' ) > 'Unit_unit_unit_Category_ext$' ).

tff(func_def_115,type,
    'pi$': ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set_ZF_fun_set$' ).

tff(func_def_116,type,
    'map_Expression$c': ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_ZF_fun$' ) > 'ZF_ZF_Expression_ZF_ZF_Expression_Expression_ZF_ZF_Expression_fun$' ).

tff(func_def_117,type,
    'bot$g': 'ZF_ZF_set_fun_set$' ).

tff(func_def_118,type,
    'collect$c': 'ZF_set_bool_fun$' > 'ZF_set_set$' ).

tff(func_def_119,type,
    'unity$': 'Unit$' ).

tff(func_def_120,type,
    'uul$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_prod_bool_fun$' ).

tff(func_def_121,type,
    'fun_app$bg': ( 'ZF_set_unit_set_fun$' * 'ZF_set$' ) > 'Unit_set$' ).

tff(func_def_122,type,
    'fun_app$f': ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set$' ) > 'ZF_bool_fun$' ).

tff(func_def_123,type,
    'fun_app$bm': ( 'ZF_ZF_Language_ZF_set_bool_fun_fun$' * 'ZF_ZF_Language$' ) > 'ZF_set_bool_fun$' ).

tff(func_def_124,type,
    'signature_ext$': ( 'ZF_set$' * 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'Unit$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_125,type,
    'more$e': 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'Unit$' ).

tff(func_def_126,type,
    'sigDom$': 'ZF_ZF_unit_Signature_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_127,type,
    'undefined$d': 'Unit$' ).

tff(func_def_128,type,
    'pair$a': ( 'ZF$' * 'ZF$' ) > 'ZF_ZF_prod$' ).

tff(func_def_129,type,
    'restrict$p': ( 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' ).

tff(func_def_130,type,
    'fun_app$bc': ( 'Unit_unit_fun_unit_unit_fun_fun$' * 'Unit_unit_fun$' ) > 'Unit_unit_fun$' ).

tff(func_def_131,type,
    'top$b': 'ZF_ZF_unit_TermEquivClT_ext_set$' ).

tff(func_def_132,type,
    'pi$h': ( 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set_ZF_set_fun_set$' ).

tff(func_def_133,type,
    'bot$n': 'ZF_ZF_Expression_ZF_set_fun_set$' ).

tff(func_def_134,type,
    'pi$u': ( 'Unit_set$' * 'Unit_ZF_set_set_fun$' ) > 'Unit_ZF_set_fun_set$' ).

tff(func_def_135,type,
    'compose$c': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' ) > 'ZF_ZF_Expression_ZF_fun$' ).

tff(func_def_136,type,
    'fun_app$t': ( 'ZF_ZF_ZF_fun_fun$' * 'ZF$' ) > 'ZF_ZF_fun$' ).

tff(func_def_137,type,
    'of_nat$': 'Nat$' > $int ).

tff(func_def_138,type,
    'pi$c': ( 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF_ZF_fun_set$' ).

tff(func_def_139,type,
    'exprVar$': 'ZF_ZF_Expression$' ).

tff(func_def_140,type,
    'baseTypes$h': 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_set_set$' ).

tff(func_def_141,type,
    'collect$': 'Unit_unit_prod_bool_fun$' > 'Unit_unit_prod_set$' ).

tff(func_def_142,type,
    'expr2ZF$': 'ZF_ZF_Expression_ZF_fun$' ).

tff(func_def_143,type,
    'id$a': 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_144,type,
    'oppositeCategory$a': 'Unit_unit_unit_Category_ext$' > 'Unit_unit_unit_Category_ext$' ).

tff(func_def_145,type,
    'compose$h': ( 'ZF_ZF_unit_TermEquivClT_ext_set$' * 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_fun$' ).

tff(func_def_146,type,
    'set2_IType$d': 'ZF_ZF_ZF_Language_IType$' > 'ZF_ZF_Language_set$' ).

tff(func_def_147,type,
    'fun_app$ay': ( 'ZF_set_ZF_ZF_Expression_fun$' * 'ZF_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_148,type,
    'funsignature_abbrev$h': ( 'ZF_ZF_Expression$' * 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' ) > 'ZF_set_ZF_set_bool_fun_fun$' ).

tff(func_def_149,type,
    'dom$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_150,type,
    'restrict$l': ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language_ZF_fun$' ).

tff(func_def_151,type,
    'fun_app$aw': ( 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression_set$' ).

tff(func_def_152,type,
    'canonicalCat$a': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_153,type,
    'fun_app$bo': ( 'Unit_ZF_set_fun$' * 'Unit$' ) > 'ZF_set$' ).

tff(func_def_154,type,
    'termEquivClGen$': ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_ZF_Expression_set_fun$' ).

tff(func_def_155,type,
    'fun_app$bv': ( 'ZF_ZF_Expression_unit_fun$' * 'ZF_ZF_Expression$' ) > 'Unit$' ).

tff(func_def_156,type,
    'more$c': 'ZF_ZF_unit_TermEquivClT_ext$' > 'Unit$' ).

tff(func_def_157,type,
    'uvb$': 'ZF_set$' > 'ZF_ZF_Language_ZF_set_fun$' ).

tff(func_def_158,type,
    'uvs$': 'ZF_set$' > 'ZF_set_unit_fun_unit_fun$' ).

tff(func_def_159,type,
    'uum$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_bool_fun$' ).

tff(func_def_160,type,
    'sigDom_update$': 'ZF_ZF_fun_ZF_ZF_fun_fun$' > 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' ).

tff(func_def_161,type,
    'comp$': 'Unit_unit_unit_Category_ext$' > 'Unit_unit_unit_fun_fun$' ).

tff(func_def_162,type,
    'fun_app$x': ( 'ZF_set_ZF_ZF_Expression_set_fun$' * 'ZF_set$' ) > 'ZF_ZF_Expression_set$' ).

tff(func_def_163,type,
    'piE$m': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_set_fun$' ) > 'ZF_ZF_Expression_ZF_set_fun_set$' ).

tff(func_def_164,type,
    'image$e': 'ZF_ZF_fun$' > 'ZF_set_ZF_set_fun$' ).

tff(func_def_165,type,
    'bij_betw$b': 'ZF_ZF_fun$' > 'ZF_set_ZF_set_bool_fun_fun$' ).

tff(func_def_166,type,
    'restrict$s': ( 'ZF_ZF_Language_unit_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language_unit_fun$' ).

tff(func_def_167,type,
    'set1_IType$h': 'ZF_ZF_Expression_ZF_set_IType$' > 'ZF_ZF_Expression_set$' ).

tff(func_def_168,type,
    'sigCod$h': 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_ZF_set_fun$' ).

tff(func_def_169,type,
    'sigDom$d': 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF_ZF_ZF_Language_fun$' ).

tff(func_def_170,type,
    'piE$': ( 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF_ZF_fun_set$' ).

tff(func_def_171,type,
    'extensional$g': 'ZF_ZF_Language_set$' > 'ZF_ZF_Language_ZF_fun_set$' ).

tff(func_def_172,type,
    'fun_app$ae': ( 'ZF_ZF_Expression_ZF_set_set_fun$' * 'ZF_ZF_Expression$' ) > 'ZF_set_set$' ).

tff(func_def_173,type,
    'iFunctions_update$': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ) > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).

tff(func_def_174,type,
    'uun$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_175,type,
    'baseFunctions$a': 'ZF_set_ZF_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_176,type,
    'uug$': 'Unit_unit_unit_Category_ext$' > 'Unit_unit_unit_fun_fun$' ).

tff(func_def_177,type,
    'top$h': 'ZF_ZF_fun_set$' ).

tff(func_def_178,type,
    'makeCat$': 'Unit_unit_unit_Category_ext$' > 'Unit_unit_unit_Category_ext$' ).

tff(func_def_179,type,
    'extensional$f': 'ZF_ZF_Expression_set$' > 'ZF_ZF_Expression_ZF_fun_set$' ).

tff(func_def_180,type,
    'aAxioms$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_set$' ).

tff(func_def_181,type,
    'fun_app$r': ( 'Unit_unit_fun$' * 'Unit$' ) > 'Unit$' ).

tff(func_def_182,type,
    'b$': 'ZF$' ).

tff(func_def_183,type,
    'baseTypes$c': 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF_ZF_Expression_set$' ).

tff(func_def_184,type,
    'extensional$h': 'ZF_set_set$' > 'ZF_set_ZF_set_fun_set$' ).

tff(func_def_185,type,
    'compose$b': ( 'ZF_set$' * 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_ZF_Expression_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_186,type,
    'fun_app$aj': ( 'ZF_ZF_Expression_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Expression_set$' ).

tff(func_def_187,type,
    'bot$i': 'ZF_ZF_ZF_Expression_fun_set$' ).

tff(func_def_188,type,
    'collect$d': 'ZF_bool_fun$' > 'ZF_set$' ).

tff(func_def_189,type,
    'uuo$': 'Unit_unit_unit_Category_ext$' > 'Unit_unit_prod_bool_fun$' ).

tff(func_def_190,type,
    'fun_app$bp': ( 'Unit_ZF_ZF_Expression_fun$' * 'Unit$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_191,type,
    'set2_IType$f': 'ZF_ZF_Language_ZF_IType$' > 'ZF_set$' ).

tff(func_def_192,type,
    'fun_app$ap': ( 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_set$' ) > 'ZF_set_bool_fun$' ).

tff(func_def_193,type,
    'termEquivCl$a': ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ).

tff(func_def_194,type,
    'fun_app$ba': ( 'ZF_ZF_ZF_fun_fun_ZF_ZF_ZF_fun_fun_fun$' * 'ZF_ZF_ZF_fun_fun$' ) > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_195,type,
    'fun_app$bb': ( 'Unit_unit_unit_fun_fun_unit_unit_unit_fun_fun_fun$' * 'Unit_unit_unit_fun_fun$' ) > 'Unit_unit_unit_fun_fun$' ).

tff(func_def_196,type,
    'fun_app$as': ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_197,type,
    'less_eq$c': 'ZF_set_ZF_set_bool_fun_fun$' ).

tff(func_def_198,type,
    'zF2Expr$': 'ZF_ZF_ZF_Expression_fun$' ).

tff(func_def_199,type,
    'wellFormedToSet$': ( 'ZF_ZF_unit_Signature_ext$' * 'Nat$' ) > 'ZF_ZF_Expression_set$' ).

tff(func_def_200,type,
    'restrict$g': ( 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_ZF_set_fun$' ).

tff(func_def_201,type,
    'sigDom$a': 'ZF_set_ZF_unit_Signature_ext$' > 'ZF_ZF_set_fun$' ).

tff(func_def_202,type,
    'baseTypes$i': 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_set_set$' ).

tff(func_def_203,type,
    'sigCod$e': 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_ZF_fun$' ).

tff(func_def_204,type,
    'baseFunctions$h': 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_set$' ).

tff(func_def_205,type,
    'iTypes_update$': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ) > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).

tff(func_def_206,type,
    'piE$d': ( 'ZF_set$' * 'ZF_unit_set_fun$' ) > 'ZF_unit_fun_set$' ).

tff(func_def_207,type,
    'fun_app$be': ( 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression$' ) > 'Unit_set$' ).

tff(func_def_208,type,
    'uus$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_209,type,
    'uvf$': 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_fun$' ).

tff(func_def_210,type,
    'restrict$f': ( 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_set$' ) > 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ).

tff(func_def_211,type,
    'set2_IType$b': 'ZF_set_ZF_IType$' > 'ZF_set$' ).

tff(func_def_212,type,
    'iCategory_update$': ( 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ) > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).

tff(func_def_213,type,
    'uue$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_bool_fun$' ).

tff(func_def_214,type,
    'fun_app$an': ( 'Unit_set_unit_set_fun$' * 'Unit_set$' ) > 'Unit_set$' ).

tff(func_def_215,type,
    'baseFunctions$d': 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_216,type,
    'image$d': 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' > 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' ).

tff(func_def_217,type,
    'the$': 'ZF_bool_fun$' > 'ZF$' ).

tff(func_def_218,type,
    'sigCod$d': 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF_ZF_ZF_Language_fun$' ).

tff(func_def_219,type,
    'bij_betw$d': ( 'ZF_set_ZF_fun$' * 'ZF_set_set$' ) > 'ZF_set_bool_fun$' ).

tff(func_def_220,type,
    'restrict$d': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_set$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ).

tff(func_def_221,type,
    'fun_app$bt': ( 'Unit_ZF_set_set_fun$' * 'Unit$' ) > 'ZF_set_set$' ).

tff(func_def_222,type,
    'pi$r': ( 'Unit_set$' * 'Unit_ZF_set_fun$' ) > 'Unit_ZF_fun_set$' ).

tff(func_def_223,type,
    'fun_app$z': ( 'ZF_set_ZF_ZF_Language_set_fun$' * 'ZF_set$' ) > 'ZF_ZF_Language_set$' ).

tff(func_def_224,type,
    'bot$h': 'ZF_set_ZF_fun_set$' ).

tff(func_def_225,type,
    'pi$g': ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language_ZF_fun_set$' ).

tff(func_def_226,type,
    'uuv$': 'ZF_ZF_unit_TermEquivClT_ext_set$' > 'ZF_ZF_ZF_unit_TermEquivClT_ext_set_fun$' ).

tff(func_def_227,type,
    'set1_IType$e': 'ZF_ZF_Expression_ZF_IType$' > 'ZF_ZF_Expression_set$' ).

tff(func_def_228,type,
    'image$c': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_set$' ) > 'ZF_set$' ).

tff(func_def_229,type,
    'more$a': 'Unit_unit_unit_Category_ext$' > 'Unit$' ).

tff(func_def_230,type,
    'theoryp$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_Language_bool_fun$' ).

tff(func_def_231,type,
    'set2_IType$g': 'ZF_set_ZF_set_IType$' > 'ZF_set_set$' ).

tff(func_def_232,type,
    'restrict$a': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod$' ) > 'ZF$' ).

tff(func_def_233,type,
    'baseTypes_update$': 'ZF_set_ZF_set_fun$' > 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' ).

tff(func_def_234,type,
    'set1_IType$': 'ZF_ZF_IType$' > 'ZF_set$' ).

tff(func_def_235,type,
    'fun_app$ak': ( 'Unit_unit_set_fun$' * 'Unit$' ) > 'Unit_set$' ).

tff(func_def_236,type,
    'inv_into$': ( 'ZF_ZF_unit_TermEquivClT_ext_set$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ) > 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ).

tff(func_def_237,type,
    'interpretation_ext$': ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'Unit$' ) > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).

tff(func_def_238,type,
    'bij_betw$a': ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_set_bool_fun$' ).

tff(func_def_239,type,
    'uvd$': 'ZF_set_set$' > 'ZF_ZF_Expression_ZF_set_set_fun$' ).

tff(func_def_240,type,
    'insert$a': ( 'ZF_unit_fun$' * 'ZF_unit_fun_set$' ) > 'ZF_unit_fun_set$' ).

tff(func_def_241,type,
    'bot$m': 'ZF_set_ZF_set_fun_set$' ).

tff(func_def_242,type,
    'sigCod$g': 'ZF_set_ZF_set_unit_Signature_ext$' > 'ZF_set_ZF_set_fun$' ).

tff(func_def_243,type,
    'top$a': 'ZF_set$' ).

tff(func_def_244,type,
    'bot$e': 'Unit_unit_fun_set$' ).

tff(func_def_245,type,
    'piE$c': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_ZF_Expression_set_fun$' ) > 'ZF_ZF_Expression_ZF_ZF_Expression_fun_set$' ).

tff(func_def_246,type,
    'extensional$a': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_ZF_fun_set$' ).

tff(func_def_247,type,
    'pi$e': ( 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' ) > 'ZF_ZF_ZF_Language_fun_set$' ).

tff(func_def_248,type,
    'tExprSet_update$': 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_fun$' ).

tff(func_def_249,type,
    'baseFunctions$e': 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_set$' ).

tff(func_def_250,type,
    'piE$e': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression_unit_fun_set$' ).

tff(func_def_251,type,
    'a$': 'ZF$' ).

tff(func_def_252,type,
    'pi$o': ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > 'ZF_ZF_Language_unit_fun_set$' ).

tff(func_def_253,type,
    'set1_IType$d': 'ZF_ZF_ZF_Language_IType$' > 'ZF_set$' ).

tff(func_def_254,type,
    'top$k': 'ZF_ZF_Expression_ZF_ZF_Expression_fun_set$' ).

tff(func_def_255,type,
    'extensional$b': 'ZF_set$' > 'ZF_ZF_set_fun_set$' ).

tff(func_def_256,type,
    'uvo$': 'ZF_ZF_Expression_ZF_ZF_Expression_set_fun$' ).

tff(func_def_257,type,
    'm2ZF$': 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ).

tff(func_def_258,type,
    'fun_app$aq': ( 'ZF_set_ZF_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_259,type,
    'fun_app$bj': ( 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_Expression$' ) > 'ZF_bool_fun$' ).

tff(func_def_260,type,
    'fun_app$a': ( 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_261,type,
    'extensional$i': 'ZF_ZF_Expression_set$' > 'ZF_ZF_Expression_ZF_set_fun_set$' ).

tff(func_def_262,type,
    'mor_update$': 'ZF_set_ZF_set_fun$' > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' ).

tff(func_def_263,type,
    'sigCod$a': 'ZF_set_ZF_unit_Signature_ext$' > 'ZF_ZF_set_fun$' ).

tff(func_def_264,type,
    'uuy$': 'ZF_set_set$' > 'ZF_ZF_set_set_fun$' ).

tff(func_def_265,type,
    'fun_app$af': ( 'ZF_ZF_Language_ZF_set_set_fun$' * 'ZF_ZF_Language$' ) > 'ZF_set_set$' ).

tff(func_def_266,type,
    'id$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_267,type,
    'fun_app$bl': ( 'ZF_ZF_Expression_ZF_set_bool_fun_fun$' * 'ZF_ZF_Expression$' ) > 'ZF_set_bool_fun$' ).

tff(func_def_268,type,
    'uuj$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_269,type,
    'cLDomain$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_270,type,
    'restrict$b': ( 'ZF_ZF_fun$' * 'ZF_set$' ) > 'ZF_ZF_fun$' ).

tff(func_def_271,type,
    'restrict$m': ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression_ZF_set_fun$' ).

tff(func_def_272,type,
    'piE$k': ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language_ZF_fun_set$' ).

tff(func_def_273,type,
    'fun_app$ax': ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_274,type,
    'fun_app$br': ( 'Unit_ZF_ZF_Language_fun$' * 'Unit$' ) > 'ZF_ZF_Language$' ).

tff(func_def_275,type,
    'uvn$': 'ZF_ZF_Expression_ZF_set_fun$' ).

tff(func_def_276,type,
    'pi$k': ( 'ZF_set_set$' * 'ZF_set_ZF_ZF_Expression_set_fun$' ) > 'ZF_set_ZF_ZF_Expression_fun_set$' ).

tff(func_def_277,type,
    'bot$d': 'ZF_set_unit_fun_set$' ).

tff(func_def_278,type,
    'set1_IType$i': 'ZF_ZF_Language_ZF_set_IType$' > 'ZF_ZF_Language_set$' ).

tff(func_def_279,type,
    'fun_app$bk': ( 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_Language$' ) > 'ZF_bool_fun$' ).

tff(func_def_280,type,
    'iMor$': 'ZF$' > 'ZF_ZF_IType$' ).

tff(func_def_281,type,
    'sigDom$e': 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_ZF_fun$' ).

tff(func_def_282,type,
    'map_Expression$a': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_Expression_ZF_fun$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_Expression_Expression_ZF_ZF_Expression_fun$' ).

tff(func_def_283,type,
    'restrict$n': ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language_ZF_set_fun$' ).

tff(func_def_284,type,
    'sigDom$h': 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression_ZF_set_fun$' ).

tff(func_def_285,type,
    'fun_app$bf': ( 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language$' ) > 'Unit_set$' ).

tff(func_def_286,type,
    'baseFunctions_update$': 'ZF_set_ZF_set_fun$' > 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' ).

tff(func_def_287,type,
    'termEquivClT_ext$': ( 'ZF$' * 'ZF_ZF_Expression_set$' * 'ZF$' * 'Unit$' ) > 'ZF_ZF_unit_TermEquivClT_ext$' ).

tff(func_def_288,type,
    'uvl$': 'ZF_ZF_set_fun$' ).

tff(func_def_289,type,
    'obj$a': 'Unit_unit_unit_Category_ext$' > 'Unit_set$' ).

tff(func_def_290,type,
    'bot$': 'Unit_set$' ).

tff(func_def_291,type,
    'sigDom$b': 'ZF_ZF_set_unit_Signature_ext$' > 'ZF_set_ZF_fun$' ).

tff(func_def_292,type,
    'compose$k': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_Expression_ZF_ZF_unit_TermEquivClT_ext_fun$' ) > 'ZF_ZF_Expression_ZF_fun$' ).

tff(func_def_293,type,
    'uuz$': 'ZF_ZF_Language_set$' > 'ZF_ZF_ZF_Language_set_fun$' ).

tff(func_def_294,type,
    'baseFunctions$c': 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_295,type,
    'inverse$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_296,type,
    'unitCategory$': 'Unit_unit_unit_Category_ext$' ).

tff(func_def_297,type,
    'compose$j': ( 'ZF_ZF_unit_TermEquivClT_ext_set$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_fun$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ).

tff(func_def_298,type,
    'fun_app$j': ( 'ZF_ZF_Language_unit_fun$' * 'ZF_ZF_Language$' ) > 'Unit$' ).

tff(func_def_299,type,
    'fun_app$s': ( 'Unit_unit_unit_fun_fun$' * 'Unit$' ) > 'Unit_unit_fun$' ).

tff(func_def_300,type,
    'restrict$c': ( 'Unit_unit_fun$' * 'Unit_set$' ) > 'Unit_unit_fun$' ).

tff(func_def_301,type,
    'sup$': 'ZF_ZF_Expression_set$' > 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' ).

tff(func_def_302,type,
    'baseFunctions$g': 'ZF_set_ZF_set_unit_Signature_ext$' > 'ZF_set_set$' ).

tff(func_def_303,type,
    'piE$l': ( 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set_ZF_set_fun_set$' ).

tff(func_def_304,type,
    'set1_IType$a': 'ZF_ZF_set_IType$' > 'ZF_set$' ).

tff(func_def_305,type,
    'uu$': 'ZF_ZF_Language_set$' > 'ZF_ZF_Language_bool_fun$' ).

tff(func_def_306,type,
    'sigDom$i': 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_ZF_set_fun$' ).

tff(func_def_307,type,
    'piE$g': ( 'ZF_set_set$' * 'ZF_set_unit_set_fun$' ) > 'ZF_set_unit_fun_set$' ).

tff(func_def_308,type,
    'set1_IType$f': 'ZF_ZF_Language_ZF_IType$' > 'ZF_ZF_Language_set$' ).

tff(func_def_309,type,
    'case_prod$a': 'ZF_ZF_ZF_fun_fun$' > 'ZF_ZF_prod_ZF_fun$' ).

tff(func_def_310,type,
    'uud$': 'ZF_ZF_Expression_set$' > 'ZF_ZF_Expression_bool_fun$' ).

tff(func_def_311,type,
    'iFunctions$': 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_312,type,
    'fun_app$y': ( 'ZF_ZF_ZF_Language_set_fun$' * 'ZF$' ) > 'ZF_ZF_Language_set$' ).

tff(func_def_313,type,
    'fun_app$bi': ( 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF$' ) > 'ZF_ZF_Language_bool_fun$' ).

tff(func_def_314,type,
    'obj_update$a': ( 'Unit_set_unit_set_fun$' * 'Unit_unit_unit_Category_ext$' ) > 'Unit_unit_unit_Category_ext$' ).

tff(func_def_315,type,
    'more_update$': 'Unit_unit_fun$' > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' ).

tff(func_def_316,type,
    'uuu$': 'ZF_set$' > 'ZF_set_ZF_set_fun$' ).

tff(func_def_317,type,
    'tCodomain_update$': 'ZF_ZF_fun$' > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_fun$' ).

tff(func_def_318,type,
    'inv_into$a': ( 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF_set_ZF_fun$' ).

tff(func_def_319,type,
    'more$b': 'ZF_ZF_unit_Axioms_ext$' > 'Unit$' ).

tff(func_def_320,type,
    'top$g': 'Unit_unit_fun_set$' ).

tff(func_def_321,type,
    'set1_IType$c': 'ZF_ZF_ZF_Expression_IType$' > 'ZF_set$' ).

tff(func_def_322,type,
    'extensional$j': 'ZF_ZF_Language_set$' > 'ZF_ZF_Language_ZF_set_fun_set$' ).

tff(func_def_323,type,
    'restrict$j': ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF_set$' ) > 'ZF_ZF_ZF_Expression_fun$' ).

tff(func_def_324,type,
    'uua$': 'ZF_set_set$' > 'ZF_set_bool_fun$' ).

tff(func_def_325,type,
    'bot$b': 'ZF_ZF_Expression_unit_fun_set$' ).

tff(func_def_326,type,
    'set2_IType$i': 'ZF_ZF_Language_ZF_set_IType$' > 'ZF_set_set$' ).

tff(func_def_327,type,
    'uvh$': 'ZF_ZF_Expression_set$' > 'ZF_set_ZF_ZF_Expression_set_fun$' ).

tff(func_def_328,type,
    'funsignature_abbrev$': ( 'ZF$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_bool_fun_fun$' ).

tff(func_def_329,type,
    'restrict$k': ( 'ZF_ZF_ZF_Language_fun$' * 'ZF_set$' ) > 'ZF_ZF_ZF_Language_fun$' ).

tff(func_def_330,type,
    'compose$d': ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_set_fun$' ).

tff(func_def_331,type,
    'top$': 'ZF_ZF_Expression_set$' ).

tff(func_def_332,type,
    'comp$a': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_333,type,
    'compose$g': ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF_ZF_set_fun$' ).

tff(func_def_334,type,
    'sigCod$i': 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_ZF_set_fun$' ).

tff(func_def_335,type,
    'term$': ( 'ZF$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_ZF_Language_fun$' ).

tff(func_def_336,type,
    'mor$': 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_337,type,
    'restrict$r': ( 'ZF_ZF_Expression_unit_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression_unit_fun$' ).

tff(func_def_338,type,
    'pi$m': ( 'ZF_set$' * 'ZF_unit_set_fun$' ) > 'ZF_unit_fun_set$' ).

tff(func_def_339,type,
    'mapsTo$': ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF_ZF_bool_fun_fun$' ).

tff(func_def_340,type,
    'sigCod$f': 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_ZF_fun$' ).

tff(func_def_341,type,
    'fun_app$bs': ( 'Unit_ZF_ZF_Language_set_fun$' * 'Unit$' ) > 'ZF_ZF_Language_set$' ).

tff(func_def_342,type,
    'fun_app$l': ( 'ZF_set_unit_fun$' * 'ZF_set$' ) > 'Unit$' ).

tff(func_def_343,type,
    'collect$e': 'ZF_ZF_unit_TermEquivClT_ext_bool_fun$' > 'ZF_ZF_unit_TermEquivClT_ext_set$' ).

tff(func_def_344,type,
    'pi$s': ( 'Unit_set$' * 'Unit_ZF_ZF_Expression_set_fun$' ) > 'Unit_ZF_ZF_Expression_fun_set$' ).

tff(func_def_345,type,
    'nat$': $int > 'Nat$' ).

tff(func_def_346,type,
    'fun_app$ad': ( 'ZF_set_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set$' ).

tff(func_def_347,type,
    'tDomain$': 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ).

tff(func_def_348,type,
    'mor$a': 'Unit_unit_unit_Category_ext$' > 'Unit_set$' ).

tff(func_def_349,type,
    'oppositeCategory$': 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' ).

tff(func_def_350,type,
    'fun_app$aa': ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression$' ) > 'ZF_set$' ).

tff(func_def_351,type,
    'baseTypes$g': 'ZF_set_ZF_set_unit_Signature_ext$' > 'ZF_set_set$' ).

tff(func_def_352,type,
    'uuk$': ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' ) > 'ZF_ZF_bool_fun_fun$' ).

tff(func_def_353,type,
    'uup$': 'Unit_unit_unit_Category_ext$' > 'Unit_unit_unit_fun_fun$' ).

tff(func_def_354,type,
    'termEquivCl$': ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_fun$' ).

tff(func_def_355,type,
    'obj$': 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_356,type,
    'top$j': 'ZF_ZF_Expression_ZF_fun_set$' ).

tff(func_def_357,type,
    'fun_app$i': ( 'ZF_ZF_Language_unit_fun_unit_fun$' * 'ZF_ZF_Language_unit_fun$' ) > 'Unit$' ).

tff(func_def_358,type,
    'extensional$e': 'ZF_set$' > 'ZF_ZF_ZF_Language_fun_set$' ).

tff(func_def_359,type,
    'set2_IType$c': 'ZF_ZF_ZF_Expression_IType$' > 'ZF_ZF_Expression_set$' ).

tff(func_def_360,type,
    'compose$i': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_ZF_Expression_fun$' * 'ZF_ZF_Expression_ZF_fun$' ) > 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' ).

tff(func_def_361,type,
    'undefined$a': 'ZF_set$' ).

tff(func_def_362,type,
    'canonicalCat$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_363,type,
    'zF2m$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ).

tff(func_def_364,type,
    'undefined$b': 'ZF_ZF_Expression$' ).

tff(func_def_365,type,
    't$': 'ZF_ZF_unit_Axioms_ext$' ).

tff(func_def_366,type,
    'baseFunctions$': 'ZF_ZF_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_367,type,
    'fun_app$ab': ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language$' ) > 'ZF_set$' ).

tff(func_def_368,type,
    'aSignature$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_369,type,
    'bot$j': 'ZF_ZF_ZF_Language_fun_set$' ).

tff(func_def_370,type,
    'fun_app$': ( 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_371,type,
    'baseTypes$f': 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_372,type,
    'objIso$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_bool_fun_fun$' ).

tff(func_def_373,type,
    'restrict$': ( 'Unit_unit_prod_unit_fun$' * 'Unit_unit_prod_set$' * 'Unit_unit_prod$' ) > 'Unit$' ).

tff(func_def_374,type,
    'uub$': 'ZF_set_ZF_bool_fun_fun$' ).

tff(func_def_375,type,
    'exprApp$': 'ZF$' > 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' ).

tff(func_def_376,type,
    'uuc$': 'ZF_ZF_unit_TermEquivClT_ext_set$' > 'ZF_ZF_unit_TermEquivClT_ext_bool_fun$' ).

tff(func_def_377,type,
    'piE$n': ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_set_fun$' ) > 'ZF_ZF_Language_ZF_set_fun_set$' ).

tff(func_def_378,type,
    'restrict$h': ( 'ZF_set_ZF_fun$' * 'ZF_set_set$' ) > 'ZF_set_ZF_fun$' ).

tff(func_def_379,type,
    'sigDom$g': 'ZF_set_ZF_set_unit_Signature_ext$' > 'ZF_set_ZF_set_fun$' ).

tff(func_def_380,type,
    'member$c': 'ZF_ZF_set_bool_fun_fun$' ).

tff(func_def_381,type,
    'funsignature_abbrev$f': ( 'ZF_ZF_Language$' * 'ZF_ZF_ZF_Language_unit_Signature_ext$' ) > 'ZF_ZF_bool_fun_fun$' ).

tff(func_def_382,type,
    'makeCat$a': 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' ).

tff(func_def_383,type,
    'baseFunctions$f': 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_set$' ).

tff(func_def_384,type,
    'pi$p': ( 'ZF_set_set$' * 'ZF_set_unit_set_fun$' ) > 'ZF_set_unit_fun_set$' ).

tff(func_def_385,type,
    'extensional$': 'ZF_set$' > 'ZF_ZF_fun_set$' ).

tff(func_def_386,type,
    'uvj$': ( 'ZF_ZF_unit_Signature_ext$' * 'Nat$' ) > 'ZF_ZF_Expression_bool_fun$' ).

tff(func_def_387,type,
    'bot$a': 'ZF_unit_fun_set$' ).

tff(func_def_388,type,
    'image$b': 'ZF_ZF_set_fun$' > 'ZF_set_ZF_set_set_fun$' ).

tff(func_def_389,type,
    'funsignature_abbrev$g': ( 'ZF_set$' * 'ZF_set_ZF_set_unit_Signature_ext$' ) > 'ZF_set_ZF_set_bool_fun_fun$' ).

tff(func_def_390,type,
    'uui$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_bool_fun$' ).

tff(func_def_391,type,
    'isomorphism$': 'ZF_ZF_unit_Category_ext$' > 'ZF_bool_fun$' ).

tff(func_def_392,type,
    'insert$c': ( 'ZF_ZF_Language_unit_fun$' * 'ZF_ZF_Language_unit_fun_set$' ) > 'ZF_ZF_Language_unit_fun_set$' ).

tff(func_def_393,type,
    'aSignature_update$': ( 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_unit_Axioms_ext$' ).

tff(func_def_394,type,
    'fun_app$az': ( 'ZF_set_ZF_ZF_Language_fun$' * 'ZF_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_395,type,
    'uvc$': 'ZF_set_set$' > 'ZF_set_ZF_set_set_fun$' ).

tff(func_def_396,type,
    'map_Expression$e': ( 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression$' ).

tff(func_def_397,type,
    'uvg$': 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' ).

tff(func_def_398,type,
    'funsignature_abbrev$e': ( 'ZF_ZF_Expression$' * 'ZF_ZF_ZF_Expression_unit_Signature_ext$' ) > 'ZF_ZF_bool_fun_fun$' ).

tff(func_def_399,type,
    'fun_app$au': ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression$' ) > 'ZF$' ).

tff(func_def_400,type,
    'iTypes$': 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_401,type,
    'mor_update$a': ( 'Unit_set_unit_set_fun$' * 'Unit_unit_unit_Category_ext$' ) > 'Unit_unit_unit_Category_ext$' ).

tff(func_def_402,type,
    'id_update$': 'ZF_ZF_fun_ZF_ZF_fun_fun$' > 'ZF_ZF_unit_Category_ext_ZF_ZF_unit_Category_ext_fun$' ).

tff(func_def_403,type,
    'canonicalInterpretation$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).

tff(func_def_404,type,
    'fun_app$ar': ( 'ZF_ZF_Expression_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Expression_bool_fun$' ).

tff(func_def_405,type,
    'fun_app$bq': ( 'Unit_ZF_ZF_Expression_set_fun$' * 'Unit$' ) > 'ZF_ZF_Expression_set$' ).

tff(func_def_406,type,
    'cod$': 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_407,type,
    'fun_app$bu': ( 'ZF_unit_fun$' * 'ZF$' ) > 'Unit$' ).

tff(func_def_408,type,
    'restrict$e': ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression_ZF_fun$' ).

tff(func_def_409,type,
    'set2_IType$': 'ZF_ZF_IType$' > 'ZF_set$' ).

tff(func_def_410,type,
    'sigDom$c': 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF_ZF_ZF_Expression_fun$' ).

tff(func_def_411,type,
    'funsignature_abbrev$b': ( 'ZF_set$' * 'ZF_ZF_set_unit_Signature_ext$' ) > 'ZF_ZF_bool_fun_fun$' ).

tff(func_def_412,type,
    'fun_app$q': ( 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF$' ) > 'ZF_ZF_unit_TermEquivClT_ext$' ).

tff(func_def_413,type,
    'fun_app$bh': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_414,type,
    'fun_app$h': ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF$' ) > 'ZF_set_bool_fun$' ).

tff(func_def_415,type,
    'insert$': 'Unit$' > 'Unit_set_unit_set_fun$' ).

tff(func_def_416,type,
    'compose$a': ( 'ZF_set$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_417,type,
    'set2_IType$h': 'ZF_ZF_Expression_ZF_set_IType$' > 'ZF_set_set$' ).

tff(func_def_418,type,
    'set1_IType$g': 'ZF_set_ZF_set_IType$' > 'ZF_set_set$' ).

tff(func_def_419,type,
    'image$h': ( 'ZF_ZF_Language_unit_fun_unit_fun$' * 'ZF_ZF_Language_unit_fun_set$' ) > 'Unit_set$' ).

tff(func_def_420,type,
    'compose$': ( 'ZF_set_set$' * 'ZF_ZF_set_fun$' * 'ZF_set_ZF_fun$' ) > 'ZF_set_ZF_set_fun$' ).

tff(func_def_421,type,
    'top$d': 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_Expression_Expression_set$' ).

tff(func_def_422,type,
    'pi$i': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_set_fun$' ) > 'ZF_ZF_Expression_ZF_set_fun_set$' ).

tff(func_def_423,type,
    'sigCod$c': 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF_ZF_ZF_Expression_fun$' ).

tff(func_def_424,type,
    'compose$l': ( 'ZF_ZF_unit_TermEquivClT_ext_set$' * 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_Expression_fun$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ).

tff(func_def_425,type,
    'piE$j': ( 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' ) > 'ZF_ZF_ZF_Language_fun_set$' ).

tff(func_def_426,type,
    'sigCod_update$': 'ZF_ZF_fun_ZF_ZF_fun_fun$' > 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' ).

tff(func_def_427,type,
    'implode$': 'ZF_set_ZF_fun$' ).

tff(func_def_428,type,
    'explode$': 'ZF_ZF_set_fun$' ).

tff(func_def_429,type,
    'iSignature_update$': ( 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' * 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ) > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' ).

tff(func_def_430,type,
    'fun_app$am': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext$' ) > 'ZF$' ).

tff(func_def_431,type,
    'sigCod$': 'ZF_ZF_unit_Signature_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_432,type,
    'cLCodomain$': 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_433,type,
    'fun_app$at': ( 'ZF_ZF_Language_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language_bool_fun$' ).

tff(func_def_434,type,
    'pi$l': ( 'ZF_set_set$' * 'ZF_set_ZF_ZF_Language_set_fun$' ) > 'ZF_set_ZF_ZF_Language_fun_set$' ).

tff(func_def_435,type,
    'uvr$': 'ZF_ZF_Language$' > 'ZF_ZF_Language_unit_fun_unit_fun$' ).

tff(func_def_436,type,
    'top$i': 'ZF_ZF_ZF_Expression_fun_set$' ).

tff(func_def_437,type,
    'baseFunctions$i': 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language_set$' ).

tff(func_def_438,type,
    'tExprSet$': 'ZF_ZF_unit_TermEquivClT_ext$' > 'ZF_ZF_Expression_set$' ).

tff(func_def_439,type,
    'bot$k': 'ZF_ZF_Expression_ZF_fun_set$' ).

tff(func_def_440,type,
    'zFTriple$': 'ZF$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_441,type,
    'pair$': ( 'Unit$' * 'Unit$' ) > 'Unit_unit_prod$' ).

tff(func_def_442,type,
    'tCodomain$': 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ).

tff(func_def_443,type,
    'collect$a': 'ZF_ZF_prod_bool_fun$' > 'ZF_ZF_prod_set$' ).

tff(func_def_444,type,
    'pi$f': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression_ZF_fun_set$' ).

tff(func_def_449,type,
    sK137: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_450,type,
    sK138: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_451,type,
    sK139: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_452,type,
    sK140: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_453,type,
    sK141: 'ZF_ZF_Expression$' > 'ZF$' ).

tff(func_def_454,type,
    sK142: 'ZF_ZF_Expression$' > 'ZF_ZF_Expression$' ).

tff(func_def_455,type,
    sK143: 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_456,type,
    sK144: 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_457,type,
    sK145: 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_458,type,
    sK146: 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_459,type,
    sK147: 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_460,type,
    sK148: 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_461,type,
    sK149: 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_462,type,
    sK150: 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_463,type,
    sK151: 'ZF_set_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_464,type,
    sK152: 'ZF_set_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_465,type,
    sK153: 'ZF_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_466,type,
    sK154: 'ZF_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_467,type,
    sK155: 'ZF_ZF_Language$' > 'ZF$' ).

tff(func_def_468,type,
    sK156: 'ZF_ZF_Language$' > 'ZF_ZF_Expression$' ).

tff(func_def_469,type,
    sK157: 'ZF_ZF_Language$' > 'ZF_ZF_Expression$' ).

tff(func_def_470,type,
    sK158: 'ZF_ZF_Language$' > 'ZF$' ).

tff(func_def_471,type,
    sK159: 'ZF_ZF_Language$' > 'ZF$' ).

tff(func_def_472,type,
    sK160: 'ZF_ZF_Language$' > 'ZF_ZF_Expression$' ).

tff(func_def_473,type,
    sK161: 'ZF_ZF_Language$' > 'ZF$' ).

tff(func_def_474,type,
    sK162: 'ZF_ZF_Language$' > 'ZF$' ).

tff(func_def_475,type,
    sK163: 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_476,type,
    sK164: 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_477,type,
    sK165: 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_478,type,
    sK166: 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_479,type,
    sK167: 'ZF_set_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_480,type,
    sK168: 'ZF_set_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_481,type,
    sK169: 'ZF_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_482,type,
    sK170: 'ZF_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_483,type,
    sK171: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_484,type,
    sK172: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_485,type,
    sK173: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_486,type,
    sK174: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_487,type,
    sK175: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_488,type,
    sK176: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_489,type,
    sK177: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_490,type,
    sK178: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_491,type,
    sK179: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_492,type,
    sK180: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_493,type,
    sK181: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_494,type,
    sK182: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_495,type,
    sK183: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_496,type,
    sK184: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_497,type,
    sK185: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_498,type,
    sK186: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_499,type,
    sK187: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_500,type,
    sK188: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_501,type,
    sK189: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_502,type,
    sK190: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_503,type,
    sK191: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_504,type,
    sK192: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'Unit$' ).

tff(func_def_505,type,
    sK193: 'Unit_unit_unit_Category_ext$' > 'Unit_set$' ).

tff(func_def_506,type,
    sK194: 'Unit_unit_unit_Category_ext$' > 'Unit_set$' ).

tff(func_def_507,type,
    sK195: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_508,type,
    sK196: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_509,type,
    sK197: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_510,type,
    sK198: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_unit_fun_fun$' ).

tff(func_def_511,type,
    sK199: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_512,type,
    sK200: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_513,type,
    sK201: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_514,type,
    sK202: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_515,type,
    sK203: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_516,type,
    sK204: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_517,type,
    sK205: 'Unit_unit_unit_Category_ext$' > 'Unit_set$' ).

tff(func_def_518,type,
    sK206: 'Unit_unit_unit_Category_ext$' > 'Unit_set$' ).

tff(func_def_519,type,
    sK207: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_520,type,
    sK208: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_521,type,
    sK209: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_522,type,
    sK210: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_unit_fun_fun$' ).

tff(func_def_523,type,
    sK211: 'Unit_unit_unit_Category_ext$' > 'Unit$' ).

tff(func_def_524,type,
    sK212: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_525,type,
    sK213: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_526,type,
    sK214: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_527,type,
    sK215: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_528,type,
    sK216: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_529,type,
    sK217: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_530,type,
    sK218: 'ZF_ZF_unit_Category_ext$' > 'Unit$' ).

tff(func_def_531,type,
    sK219: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_532,type,
    sK220: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_533,type,
    sK221: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_534,type,
    sK222: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_535,type,
    sK223: 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_536,type,
    sK224: 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_537,type,
    sK225: 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_538,type,
    sK226: 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_539,type,
    sK227: 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_540,type,
    sK228: 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_541,type,
    sK229: 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_542,type,
    sK230: 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_543,type,
    sK231: 'ZF_set_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_544,type,
    sK232: 'ZF_set_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_545,type,
    sK233: 'ZF_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_546,type,
    sK234: 'ZF_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_547,type,
    sK235: 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_548,type,
    sK236: 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_549,type,
    sK237: 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_550,type,
    sK238: 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_551,type,
    sK239: 'ZF_set_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_552,type,
    sK240: 'ZF_set_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_553,type,
    sK241: 'ZF_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_554,type,
    sK242: 'ZF_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_555,type,
    sK243: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_556,type,
    sK244: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_557,type,
    sK245: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_558,type,
    sK246: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_559,type,
    sK247: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_560,type,
    sK248: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_561,type,
    sK249: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_562,type,
    sK250: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_563,type,
    sK251: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_564,type,
    sK252: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_565,type,
    sK253: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_566,type,
    sK254: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_567,type,
    sK255: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_568,type,
    sK256: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_569,type,
    sK257: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_570,type,
    sK258: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_571,type,
    sK259: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_572,type,
    sK260: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_573,type,
    sK261: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_574,type,
    sK262: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_575,type,
    sK263: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language$' ).

tff(func_def_576,type,
    sK264: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_577,type,
    sK265: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_578,type,
    sK266: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_579,type,
    sK267: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_580,type,
    sK268: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_581,type,
    sK269: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_582,type,
    sK270: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_583,type,
    sK271: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_584,type,
    sK272: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_585,type,
    sK273: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_586,type,
    sK274: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_587,type,
    sK275: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_588,type,
    sK276: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_589,type,
    sK277: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_590,type,
    sK278: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_591,type,
    sK279: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_592,type,
    sK280: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_593,type,
    sK281: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_594,type,
    sK282: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_595,type,
    sK283: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_596,type,
    sK284: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_597,type,
    sK285: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_598,type,
    sK286: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_599,type,
    sK287: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_600,type,
    sK288: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language$' ).

tff(func_def_601,type,
    sK289: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_602,type,
    sK290: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_603,type,
    sK291: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_604,type,
    sK292: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_605,type,
    sK293: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_606,type,
    sK294: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_607,type,
    sK295: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_608,type,
    sK296: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_609,type,
    sK297: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_610,type,
    sK298: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_611,type,
    sK299: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_612,type,
    sK300: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_613,type,
    sK301: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_614,type,
    sK302: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_615,type,
    sK303: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_616,type,
    sK304: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_617,type,
    sK305: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_618,type,
    sK306: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language$' ).

tff(func_def_619,type,
    sK307: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_620,type,
    sK308: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_621,type,
    sK309: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_622,type,
    sK310: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_623,type,
    sK311: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_624,type,
    sK312: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_625,type,
    sK313: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_626,type,
    sK314: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_627,type,
    sK315: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_628,type,
    sK316: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_629,type,
    sK317: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_630,type,
    sK318: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_631,type,
    sK319: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_632,type,
    sK320: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_633,type,
    sK321: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_634,type,
    sK322: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_635,type,
    sK323: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_636,type,
    sK324: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_637,type,
    sK325: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_638,type,
    sK326: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_639,type,
    sK327: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_640,type,
    sK328: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_641,type,
    sK329: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_642,type,
    sK330: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_643,type,
    sK331: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language$' ).

tff(func_def_644,type,
    sK332: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_645,type,
    sK333: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_646,type,
    sK334: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_647,type,
    sK335: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_648,type,
    sK336: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_649,type,
    sK337: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_650,type,
    sK338: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_651,type,
    sK339: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_652,type,
    sK340: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_653,type,
    sK341: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_654,type,
    sK342: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_655,type,
    sK343: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_656,type,
    sK344: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_657,type,
    sK345: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_658,type,
    sK346: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_659,type,
    sK347: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_660,type,
    sK348: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_661,type,
    sK349: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_662,type,
    sK350: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_663,type,
    sK351: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_664,type,
    sK352: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_665,type,
    sK353: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_666,type,
    sK354: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_667,type,
    sK355: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_668,type,
    sK356: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_669,type,
    sK357: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_670,type,
    sK358: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_671,type,
    sK359: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_672,type,
    sK360: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_673,type,
    sK361: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_674,type,
    sK362: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_675,type,
    sK363: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_676,type,
    sK364: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_677,type,
    sK365: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_678,type,
    sK366: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_679,type,
    sK367: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_680,type,
    sK368: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_681,type,
    sK369: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_682,type,
    sK370: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_683,type,
    sK371: ( 'ZF_ZF_unit_TermEquivClT_ext_bool_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_bool_fun$' ) > 'ZF_ZF_unit_TermEquivClT_ext$' ).

tff(func_def_684,type,
    sK372: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_685,type,
    sK373: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_686,type,
    sK374: ( 'Unit_unit_unit_Category_ext$' * 'Unit_unit_prod$' ) > 'Unit$' ).

tff(func_def_687,type,
    sK375: ( 'Unit_unit_unit_Category_ext$' * 'Unit_unit_prod$' ) > 'Unit$' ).

tff(func_def_688,type,
    sK376: ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_prod$' ) > 'ZF$' ).

tff(func_def_689,type,
    sK377: ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_prod$' ) > 'ZF$' ).

tff(func_def_690,type,
    sK378: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_unit_TermEquivClT_ext$' ) > 'ZF$' ).

tff(func_def_691,type,
    sK379: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_unit_TermEquivClT_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_692,type,
    sK380: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_unit_TermEquivClT_ext$' ) > 'ZF$' ).

tff(func_def_693,type,
    sK381: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_694,type,
    sK382: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_695,type,
    sK383: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_696,type,
    sK384: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_697,type,
    sK385: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_698,type,
    sK386: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_699,type,
    sK387: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_700,type,
    sK388: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_701,type,
    sK389: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_702,type,
    sK390: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_703,type,
    sK391: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_704,type,
    sK392: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_705,type,
    sK393: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_706,type,
    sK394: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_707,type,
    sK395: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_708,type,
    sK396: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_709,type,
    sK397: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_710,type,
    sK398: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_711,type,
    sK399: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_712,type,
    sK400: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_713,type,
    sK401: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_714,type,
    sK402: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_715,type,
    sK403: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_716,type,
    sK404: ( 'ZF_set$' * 'ZF_unit_set_fun$' ) > 'ZF$' ).

tff(func_def_717,type,
    sK405: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_718,type,
    sK406: ( 'ZF_set_set$' * 'ZF_set_unit_set_fun$' ) > 'ZF_set$' ).

tff(func_def_719,type,
    sK407: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_720,type,
    sK408: ( 'ZF_set$' * 'ZF_unit_set_fun$' ) > 'ZF$' ).

tff(func_def_721,type,
    sK409: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_722,type,
    sK410: ( 'ZF_set_set$' * 'ZF_set_unit_set_fun$' ) > 'ZF_set$' ).

tff(func_def_723,type,
    sK411: ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF_ZF_unit_TermEquivClT_ext$' ).

tff(func_def_724,type,
    sK412: ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ).

tff(func_def_725,type,
    sK413: ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_726,type,
    sK414: ( 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ).

tff(func_def_727,type,
    sK415: ( 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_728,type,
    sK416: ( 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_729,type,
    sK417: ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_730,type,
    sK418: ( 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_731,type,
    sK419: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_732,type,
    sK420: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_733,type,
    sK421: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_734,type,
    sK422: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_set_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_735,type,
    sK423: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_736,type,
    sK424: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_737,type,
    sK425: ( 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_738,type,
    sK426: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_739,type,
    sK427: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_740,type,
    sK428: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_741,type,
    sK429: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_set_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_742,type,
    sK430: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_743,type,
    sK431: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_744,type,
    sK432: ( 'ZF_set_unit_set_fun$' * 'ZF_set_unit_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_745,type,
    sK433: ( 'ZF_set_set$' * 'ZF_set_unit_set_fun$' ) > 'ZF_set$' ).

tff(func_def_746,type,
    sK434: ( 'ZF_set_set$' * 'ZF_set_unit_set_fun$' ) > 'ZF_set$' ).

tff(func_def_747,type,
    sK435: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_748,type,
    sK436: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set$' ).

tff(func_def_749,type,
    sK437: ( 'ZF_set_set$' * 'ZF_set_ZF_fun$' ) > 'ZF_set$' ).

tff(func_def_750,type,
    sK438: ( 'ZF_set_set$' * 'ZF_set_ZF_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_751,type,
    sK439: ( 'ZF_unit_set_fun$' * 'ZF_unit_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_752,type,
    sK440: ( 'ZF_set$' * 'ZF_unit_set_fun$' ) > 'ZF$' ).

tff(func_def_753,type,
    sK441: ( 'ZF_set$' * 'ZF_unit_set_fun$' ) > 'ZF$' ).

tff(func_def_754,type,
    sK442: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_fun$' ) > 'ZF$' ).

tff(func_def_755,type,
    sK443: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_fun$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF$' ).

tff(func_def_756,type,
    sK444: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_fun$' ) > 'ZF$' ).

tff(func_def_757,type,
    sK445: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_fun$' * 'ZF_ZF_ZF_Language_set_fun$' ) > 'ZF$' ).

tff(func_def_758,type,
    sK446: ( 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_759,type,
    sK447: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_set_set_fun$' ) > 'ZF$' ).

tff(func_def_760,type,
    sK448: ( 'ZF_set$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_761,type,
    sK449: ( 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_762,type,
    sK450: ( 'ZF_ZF_set_IType$' * 'ZF_set_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_763,type,
    sK451: ( 'ZF_ZF_set_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_764,type,
    sK452: ( 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_765,type,
    sK453: ( 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_766,type,
    sK454: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_767,type,
    sK455: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' * 'ZF_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_768,type,
    sK456: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_set_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_769,type,
    sK457: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_set_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_770,type,
    sK458: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_set_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_771,type,
    sK459: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_772,type,
    sK460: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_773,type,
    sK461: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_774,type,
    sK462: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_775,type,
    sK463: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_fun$' * 'ZF_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_776,type,
    sK464: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_set_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_777,type,
    sK465: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_set_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_778,type,
    sK466: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_set_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_779,type,
    sK467: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_780,type,
    sK468: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_781,type,
    sK469: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_782,type,
    sK470: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_783,type,
    sK471: ( 'ZF_set_set$' * 'ZF_set_ZF_fun$' * 'ZF_set$' ) > 'ZF_set$' ).

tff(func_def_784,type,
    sK472: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set$' ).

tff(func_def_785,type,
    sK473: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set$' ).

tff(func_def_786,type,
    sK474: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set$' ).

tff(func_def_787,type,
    sK475: ( 'ZF_set_set$' * 'ZF_set_ZF_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_788,type,
    sK476: ( 'ZF_set_set$' * 'ZF_set_ZF_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_789,type,
    sK477: ( 'ZF_set_set$' * 'ZF_set_ZF_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_790,type,
    sK478: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF$' ).

tff(func_def_791,type,
    sK479: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF$' ).

tff(func_def_792,type,
    sK480: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF$' ).

tff(func_def_793,type,
    sK481: ( 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_794,type,
    sK482: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_fun$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF$' ).

tff(func_def_795,type,
    sK483: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_fun$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF$' ).

tff(func_def_796,type,
    sK484: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_fun$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF$' ).

tff(func_def_797,type,
    sK485: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_fun$' * 'ZF_ZF_ZF_Language_set_fun$' ) > 'ZF$' ).

tff(func_def_798,type,
    sK486: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_fun$' * 'ZF_ZF_ZF_Language_set_fun$' ) > 'ZF$' ).

tff(func_def_799,type,
    sK487: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_fun$' * 'ZF_ZF_ZF_Language_set_fun$' ) > 'ZF$' ).

tff(func_def_800,type,
    sK488: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_set_set_fun$' ) > 'ZF$' ).

tff(func_def_801,type,
    sK489: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_set_set_fun$' ) > 'ZF$' ).

tff(func_def_802,type,
    sK490: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_set_set_fun$' ) > 'ZF$' ).

tff(func_def_803,type,
    sK491: ( 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_804,type,
    sK492: ( 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_805,type,
    sK493: ( 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_806,type,
    sK494: ( 'ZF_set_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_807,type,
    sK495: ( 'ZF_ZF_Expression_ZF_set_IType$' * 'ZF_ZF_Expression_bool_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_808,type,
    sK496: ( 'ZF_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' ) > 'ZF$' ).

tff(func_def_809,type,
    sK497: ( 'ZF_ZF_Expression_ZF_IType$' * 'ZF_ZF_Expression_bool_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_810,type,
    sK498: ( 'ZF_set_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_811,type,
    sK499: ( 'ZF_ZF_Language_ZF_set_IType$' * 'ZF_ZF_Language_bool_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_812,type,
    sK500: ( 'ZF_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' ) > 'ZF$' ).

tff(func_def_813,type,
    sK501: ( 'ZF_ZF_Language_ZF_IType$' * 'ZF_ZF_Language_bool_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_814,type,
    sK502: ( 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_815,type,
    sK503: ( 'ZF_set_ZF_set_IType$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_816,type,
    sK504: ( 'ZF_bool_fun$' * 'ZF_set_ZF_IType$' ) > 'ZF$' ).

tff(func_def_817,type,
    sK505: ( 'ZF_set_ZF_IType$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_818,type,
    sK506: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_819,type,
    sK507: ( 'ZF_ZF_ZF_Expression_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_820,type,
    sK508: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_ZF_Language_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_821,type,
    sK509: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_822,type,
    sK510: ( 'ZF_set_bool_fun$' * 'ZF_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_823,type,
    sK511: ( 'ZF_ZF_set_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_824,type,
    sK512: ( 'ZF_bool_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_825,type,
    sK513: ( 'ZF_ZF_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_826,type,
    sK514: ( 'ZF_ZF_unit_Signature_ext$' * 'Nat$' * 'ZF_ZF_Expression$' ) > 'ZF$' ).

tff(func_def_827,type,
    sK515: ( 'ZF_ZF_unit_Signature_ext$' * 'Nat$' * 'ZF_ZF_Expression$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_828,type,
    sK516: ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_829,type,
    sK517: ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_830,type,
    sK518: ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_831,type,
    sK519: ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_832,type,
    sK520: ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_833,type,
    sK521: ( 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set$' ).

tff(func_def_834,type,
    sK522: ( 'ZF_ZF_ZF_Language_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' ) > 'ZF$' ).

tff(func_def_835,type,
    sK523: ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_836,type,
    sK524: ( 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set$' ).

tff(func_def_837,type,
    sK525: ( 'ZF_ZF_ZF_Language_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' ) > 'ZF$' ).

tff(func_def_838,type,
    sK526: ( 'ZF_ZF_set_fun$' * 'ZF_set$' * 'ZF_ZF_set_set_fun$' ) > 'ZF$' ).

tff(func_def_839,type,
    sK527: ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_840,type,
    sK528: ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_841,type,
    sK529: ( 'ZF_ZF_set_fun$' * 'ZF_set$' * 'ZF_ZF_set_set_fun$' ) > 'ZF$' ).

tff(func_def_842,type,
    sK530: ( 'ZF_set_ZF_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_843,type,
    sK531: ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF$' ).

tff(func_def_844,type,
    sK532: ( 'ZF_set_ZF_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_845,type,
    sK533: ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF$' ).

tff(func_def_846,type,
    sK534: ( 'ZF_ZF_fun$' * 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_847,type,
    sK535: ( 'ZF_ZF_fun$' * 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_848,type,
    sK536: ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_849,type,
    sK537: ( 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_850,type,
    sK538: ( 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_851,type,
    sK539: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_852,type,
    sK540: ( 'ZF_unit_set_fun$' * 'ZF_set$' * 'ZF_unit_set_fun$' ) > 'ZF$' ).

tff(func_def_853,type,
    sK541: ( 'ZF_unit_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_854,type,
    sK542: ( 'ZF_set$' * 'ZF_unit_set_fun$' ) > 'ZF$' ).

tff(func_def_855,type,
    sK543: ( 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_856,type,
    sK544: ( 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_857,type,
    sK545: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_858,type,
    sK546: ( 'ZF_set_unit_set_fun$' * 'ZF_set_set$' * 'ZF_set_unit_set_fun$' ) > 'ZF_set$' ).

tff(func_def_859,type,
    sK547: ( 'ZF_set_unit_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_860,type,
    sK548: ( 'ZF_set_set$' * 'ZF_set_unit_set_fun$' ) > 'ZF_set$' ).

tff(func_def_861,type,
    sK549: ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_862,type,
    sK550: ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_863,type,
    sK551: ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_864,type,
    sK552: ( 'ZF_ZF_ZF_Language_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' ) > 'ZF$' ).

tff(func_def_865,type,
    sK553: ( 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set$' ).

tff(func_def_866,type,
    sK554: ( 'ZF_ZF_set_fun$' * 'ZF_set$' * 'ZF_ZF_set_set_fun$' ) > 'ZF$' ).

tff(func_def_867,type,
    sK555: ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_868,type,
    sK556: ( 'ZF_set_ZF_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_869,type,
    sK557: ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF$' ).

tff(func_def_870,type,
    sK558: ( 'ZF_ZF_fun$' * 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_871,type,
    sK559: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_unit_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_872,type,
    sK560: ( 'ZF_set$' * 'ZF_unit_set_fun$' * 'ZF_unit_fun$' ) > 'ZF$' ).

tff(func_def_873,type,
    sK561: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_unit_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_874,type,
    sK562: ( 'ZF_set_set$' * 'ZF_set_unit_set_fun$' * 'ZF_set_unit_fun$' ) > 'ZF_set$' ).

tff(func_def_875,type,
    sK563: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_set_fun$' * 'ZF_ZF_Expression_ZF_set_bool_fun_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_876,type,
    sK564: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_set_fun$' * 'ZF_ZF_Expression_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_877,type,
    sK565: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_set_fun$' * 'ZF_ZF_Expression_ZF_set_bool_fun_fun$' ) > 'ZF_ZF_Expression_ZF_set_fun$' ).

tff(func_def_878,type,
    sK566: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_set_fun$' * 'ZF_ZF_Expression_ZF_set_bool_fun_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_879,type,
    sK567: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_set_fun$' * 'ZF_ZF_Language_ZF_set_bool_fun_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_880,type,
    sK568: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_set_fun$' * 'ZF_ZF_Language_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_881,type,
    sK569: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_set_fun$' * 'ZF_ZF_Language_ZF_set_bool_fun_fun$' ) > 'ZF_ZF_Language_ZF_set_fun$' ).

tff(func_def_882,type,
    sK570: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_set_fun$' * 'ZF_ZF_Language_ZF_set_bool_fun_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_883,type,
    sK571: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_884,type,
    sK572: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_885,type,
    sK573: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' ) > 'ZF_ZF_Language_ZF_fun$' ).

tff(func_def_886,type,
    sK574: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_887,type,
    sK575: ( 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_888,type,
    sK576: ( 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_889,type,
    sK577: ( 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' ) > 'ZF_set_ZF_set_fun$' ).

tff(func_def_890,type,
    sK578: ( 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_891,type,
    sK579: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_892,type,
    sK580: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_893,type,
    sK581: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' ) > 'ZF_ZF_ZF_Language_fun$' ).

tff(func_def_894,type,
    sK582: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_895,type,
    sK583: ( 'ZF_set$' * 'ZF_ZF_set_set_fun$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_896,type,
    sK584: ( 'ZF_set$' * 'ZF_ZF_set_set_fun$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_897,type,
    sK585: ( 'ZF_set$' * 'ZF_ZF_set_set_fun$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF_ZF_set_fun$' ).

tff(func_def_898,type,
    sK586: ( 'ZF_set$' * 'ZF_ZF_set_set_fun$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_899,type,
    sK587: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_900,type,
    sK588: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_901,type,
    sK589: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' ) > 'ZF_ZF_Expression_ZF_fun$' ).

tff(func_def_902,type,
    sK590: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_903,type,
    sK591: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_904,type,
    sK592: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_905,type,
    sK593: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_bool_fun_fun$' ) > 'ZF_set_ZF_fun$' ).

tff(func_def_906,type,
    sK594: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_907,type,
    sK595: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_908,type,
    sK596: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_909,type,
    sK597: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' ) > 'ZF_ZF_ZF_Expression_fun$' ).

tff(func_def_910,type,
    sK598: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_911,type,
    sK599: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_912,type,
    sK600: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_913,type,
    sK601: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_914,type,
    sK602: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_915,type,
    sK603: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Expression$' ) > 'Nat$' ).

tff(func_def_916,type,
    sK604: ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Language_fun$' ) > 'ZF$' ).

tff(func_def_917,type,
    sK605: ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_ZF_Language_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_918,type,
    sK606: ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Expression_fun$' ) > 'ZF$' ).

tff(func_def_919,type,
    sK607: ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_ZF_Expression_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_920,type,
    sK608: ( 'ZF_set_ZF_fun$' * 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_921,type,
    sK609: ( 'ZF_set_ZF_fun$' * 'ZF_set_set$' * 'ZF_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_922,type,
    sK610: ( 'ZF_ZF_fun$' * 'ZF_set$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_923,type,
    sK611: ( 'ZF_ZF_fun$' * 'ZF_set$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_924,type,
    sK612: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' * 'ZF$' * 'ZF$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_925,type,
    sK613: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' * 'ZF$' * 'ZF$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_926,type,
    sK614: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' * 'ZF$' * 'ZF$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_927,type,
    sK615: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' ) > 'ZF_ZF_Expression_set$' ).

tff(func_def_928,type,
    sK616: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' ) > 'ZF_ZF_Expression_set$' ).

tff(func_def_929,type,
    sK617: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_930,type,
    sK618: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_931,type,
    sK619: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_932,type,
    sK620: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_933,type,
    sK621: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_934,type,
    sK622: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_935,type,
    sK623: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_936,type,
    sK624: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_937,type,
    sK625: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_938,type,
    sK626: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_939,type,
    sK627: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' * 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_940,type,
    sK628: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' * 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_941,type,
    sK629: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_942,type,
    sK630: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_943,type,
    sK631: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_944,type,
    sK632: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_945,type,
    sK633: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_946,type,
    sK634: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_947,type,
    sK635: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_948,type,
    sK636: ( 'ZF_set_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_949,type,
    sK637: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_950,type,
    sK638: ( 'ZF_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_951,type,
    sK639: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_952,type,
    sK640: ( 'ZF_set_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_953,type,
    sK641: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_954,type,
    sK642: ( 'ZF_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_955,type,
    sK643: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_956,type,
    sK644: ( 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_957,type,
    sK645: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_IType$' ) > 'ZF_set$' ).

tff(func_def_958,type,
    sK646: ( 'ZF_bool_fun$' * 'ZF_set_ZF_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_959,type,
    sK647: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF$' ).

tff(func_def_960,type,
    sK648: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_Expression_bool_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_961,type,
    sK649: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_ZF_Language_IType$' ) > 'ZF$' ).

tff(func_def_962,type,
    sK650: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_Language_bool_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_963,type,
    sK651: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_964,type,
    sK652: ( 'ZF_set_bool_fun$' * 'ZF_ZF_set_IType$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_965,type,
    sK653: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_966,type,
    sK654: ( 'ZF_bool_fun$' * 'ZF_ZF_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_967,type,
    sK655: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF$' * 'ZF$' * 'ZF_ZF_Expression$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_968,type,
    sK656: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_969,type,
    sK657: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_970,type,
    sK658: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' ) > 'ZF$' ).

tff(func_def_971,type,
    sK659: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_972,type,
    sK660: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_973,type,
    sK661: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_974,type,
    sK662: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' ) > 'ZF$' ).

tff(func_def_975,type,
    sK663: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_976,type,
    sK664: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_977,type,
    sK665: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_978,type,
    sK666: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_set_ZF_IType$' ) > 'ZF$' ).

tff(func_def_979,type,
    sK667: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_IType$' ) > 'ZF_set$' ).

tff(func_def_980,type,
    sK668: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_981,type,
    sK669: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF$' ).

tff(func_def_982,type,
    sK670: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_ZF_Language_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_983,type,
    sK671: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_ZF_Language_IType$' ) > 'ZF$' ).

tff(func_def_984,type,
    sK672: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_985,type,
    sK673: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_986,type,
    sK674: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_987,type,
    sK675: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_988,type,
    sK676: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' ) > 'ZF_set$' ).

tff(func_def_989,type,
    sK677: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' ) > 'ZF$' ).

tff(func_def_990,type,
    sK678: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_991,type,
    sK679: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_992,type,
    sK680: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF$' ).

tff(func_def_993,type,
    sK681: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF$' ).

tff(func_def_994,type,
    sK682: ( 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_995,type,
    sK683: ( 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_996,type,
    sK684: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' ) > 'ZF$' ).

tff(func_def_997,type,
    sK685: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' ) > 'ZF$' ).

tff(func_def_998,type,
    sK686: ( 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_999,type,
    sK687: ( 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_1000,type,
    sK688: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_1001,type,
    sK689: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_1002,type,
    sK690: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_1003,type,
    sK691: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_1004,type,
    sK692: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1005,type,
    sK693: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF_set$' ).

tff(func_def_1006,type,
    sK694: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_1007,type,
    sK695: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_1008,type,
    sK696: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1009,type,
    sK697: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1010,type,
    sK698: ( 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_1011,type,
    sK699: ( 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_1012,type,
    sK700: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1013,type,
    sK701: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1014,type,
    sK702: ( 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_1015,type,
    sK703: ( 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_1016,type,
    sK704: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1017,type,
    sK705: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1018,type,
    sK706: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_1019,type,
    sK707: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_1020,type,
    sK708: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_1021,type,
    sK709: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_1022,type,
    sK710: ( 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' * 'ZF_set_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_1023,type,
    sK711: ( 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' * 'ZF_set_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_1024,type,
    sK712: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1025,type,
    sK713: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1026,type,
    sK714: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_1027,type,
    sK715: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_1028,type,
    sK716: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1029,type,
    sK717: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1030,type,
    sK718: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' ) > 'ZF_set$' ).

tff(func_def_1031,type,
    sK719: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1032,type,
    sK720: ( 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_1033,type,
    sK721: ( 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF$' ).

tff(func_def_1034,type,
    sK722: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF$' ).

tff(func_def_1035,type,
    sK723: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF$' ).

tff(func_def_1036,type,
    sK724: ( 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_1037,type,
    sK725: ( 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' ) > 'ZF$' ).

tff(func_def_1038,type,
    sK726: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' ) > 'ZF$' ).

tff(func_def_1039,type,
    sK727: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' ) > 'ZF$' ).

tff(func_def_1040,type,
    sK728: ( 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_1041,type,
    sK729: ( 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_1042,type,
    sK730: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_1043,type,
    sK731: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_1044,type,
    sK732: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_1045,type,
    sK733: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_1046,type,
    sK734: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_1047,type,
    sK735: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_1048,type,
    sK736: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1049,type,
    sK737: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1050,type,
    sK738: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1051,type,
    sK739: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF_set$' ).

tff(func_def_1052,type,
    sK740: ( 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1053,type,
    sK741: ( 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_1054,type,
    sK742: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1055,type,
    sK743: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1056,type,
    sK744: ( 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1057,type,
    sK745: ( 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_1058,type,
    sK746: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1059,type,
    sK747: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1060,type,
    sK748: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1061,type,
    sK749: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' ) > 'ZF_set$' ).

tff(func_def_1062,type,
    sK750: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1063,type,
    sK751: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1064,type,
    sK752: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1065,type,
    sK753: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1066,type,
    sK754: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1067,type,
    sK755: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(pred_def_1,type,
    'fun_app$e': ( 'ZF_bool_fun$' * 'ZF$' ) > $o ).

tff(pred_def_2,type,
    'signature$b': 'ZF_ZF_set_unit_Signature_ext$' > $o ).

tff(pred_def_3,type,
    'mapsTo$a': ( 'Unit_unit_unit_Category_ext$' * 'Unit$' * 'Unit$' * 'Unit$' ) > $o ).

tff(pred_def_4,type,
    'rel_IType$': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_5,type,
    'member$k': ( 'ZF_ZF_set_fun$' * 'ZF_ZF_set_fun_set$' ) > $o ).

tff(pred_def_6,type,
    'fun_app$c': ( 'ZF_ZF_unit_TermEquivClT_ext_bool_fun$' * 'ZF_ZF_unit_TermEquivClT_ext$' ) > $o ).

tff(pred_def_7,type,
    'extCategory$a': 'Unit_unit_unit_Category_ext$' > $o ).

tff(pred_def_8,type,
    'category$a': 'Unit_unit_unit_Category_ext$' > $o ).

tff(pred_def_9,type,
    'rel_IType$g': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_10,type,
    'inj_on$a': ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_set$' ) > $o ).

tff(pred_def_11,type,
    'rel_IType$k': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > $o ).

tff(pred_def_12,type,
    'less_eq$': ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_set$' ) > $o ).

tff(pred_def_13,type,
    'bij_betw$e': ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF_set$' * 'ZF_ZF_Expression_set$' ) > $o ).

tff(pred_def_14,type,
    'inj_on$': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_set$' ) > $o ).

tff(pred_def_15,type,
    'member$j': ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF_ZF_ZF_Expression_fun_set$' ) > $o ).

tff(pred_def_16,type,
    'member$g': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_fun_set$' ) > $o ).

tff(pred_def_17,type,
    'rel_IType$n': ( 'ZF_ZF_Language_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_Language_ZF_IType$' * 'ZF_ZF_Language_ZF_IType$' ) > $o ).

tff(pred_def_18,type,
    'member$t': ( 'Unit_ZF_fun$' * 'Unit_ZF_fun_set$' ) > $o ).

tff(pred_def_19,type,
    'fun_app$g': ( 'ZF_set_bool_fun$' * 'ZF_set$' ) > $o ).

tff(pred_def_20,type,
    'signature$e': 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > $o ).

tff(pred_def_21,type,
    'member$o': ( 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun_set$' ) > $o ).

tff(pred_def_22,type,
    'signature$d': 'ZF_ZF_Language_ZF_unit_Signature_ext$' > $o ).

tff(pred_def_23,type,
    'pred_IType$a': ( 'ZF_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(pred_def_24,type,
    'pred_IType$d': ( 'ZF_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_ZF_Language_IType$' ) > $o ).

tff(pred_def_25,type,
    'member$u': ( 'Unit_ZF_ZF_Expression_fun$' * 'Unit_ZF_ZF_Expression_fun_set$' ) > $o ).

tff(pred_def_26,type,
    'member$r': ( 'ZF_set_ZF_ZF_Expression_fun$' * 'ZF_set_ZF_ZF_Expression_fun_set$' ) > $o ).

tff(pred_def_27,type,
    'bij_betw$i': ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_set_set$' ) > $o ).

tff(pred_def_28,type,
    'pred_IType$c': ( 'ZF_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > $o ).

tff(pred_def_29,type,
    'rel_IType$j': ( 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_set_ZF_IType$' ) > $o ).

tff(pred_def_30,type,
    'member$w': ( 'Unit_ZF_set_fun$' * 'Unit_ZF_set_fun_set$' ) > $o ).

tff(pred_def_31,type,
    'interpretation$': 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > $o ).

tff(pred_def_32,type,
    'rel_IType$e': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > $o ).

tff(pred_def_33,type,
    'axioms$': 'ZF_ZF_unit_Axioms_ext$' > $o ).

tff(pred_def_34,type,
    'interp$': ( 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' * 'ZF_ZF_Language$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_35,type,
    'pred_IType$': ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_36,type,
    'inj_on$b': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_Expression_set$' ) > $o ).

tff(pred_def_37,type,
    'rel_IType$c': ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' ) > $o ).

tff(pred_def_38,type,
    'rel_IType$o': ( 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_set_IType$' * 'ZF_set_ZF_set_IType$' ) > $o ).

tff(pred_def_39,type,
    'member$q': ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_set_fun_set$' ) > $o ).

tff(pred_def_40,type,
    'member$v': ( 'Unit_ZF_ZF_Language_fun$' * 'Unit_ZF_ZF_Language_fun_set$' ) > $o ).

tff(pred_def_41,type,
    'pred_IType$b': ( 'ZF_set_bool_fun$' * 'ZF_bool_fun$' * 'ZF_set_ZF_IType$' ) > $o ).

tff(pred_def_42,type,
    'bij_betw$c': ( 'ZF_ZF_set_fun$' * 'ZF_set$' * 'ZF_set_set$' ) > $o ).

tff(pred_def_43,type,
    'less_eq$b': ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_set$' ) > $o ).

tff(pred_def_44,type,
    'bij_betw$j': ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_set_set$' ) > $o ).

tff(pred_def_45,type,
    'extCategory$': 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_46,type,
    'signature$': 'ZF_ZF_unit_Signature_ext$' > $o ).

tff(pred_def_47,type,
    'member$b': ( 'ZF_ZF_Expression$' * 'ZF_ZF_Expression_set$' ) > $o ).

tff(pred_def_48,type,
    'category$': 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_49,type,
    'signature$i': 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > $o ).

tff(pred_def_50,type,
    'less_eq$e': ( 'Unit_set$' * 'Unit_set$' ) > $o ).

tff(pred_def_51,type,
    'member$f': ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_set$' ) > $o ).

tff(pred_def_52,type,
    'rel_IType$m': ( 'ZF_ZF_Expression_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_IType$' * 'ZF_ZF_Expression_ZF_IType$' ) > $o ).

tff(pred_def_53,type,
    'zFAxioms$': 'ZF_ZF_unit_Axioms_ext$' > $o ).

tff(pred_def_54,type,
    'fun_app$d': ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression$' ) > $o ).

tff(pred_def_55,type,
    'rel_IType$l': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_Language_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_ZF_Language_IType$' ) > $o ).

tff(pred_def_56,type,
    'fun_app$b': ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_57,type,
    'bij_betw$h': ( 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' * 'ZF_set_set$' ) > $o ).

tff(pred_def_58,type,
    'member$i': ( 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun_set$' ) > $o ).

tff(pred_def_59,type,
    'inj_on$d': ( 'ZF_ZF_Expression_ZF_ZF_unit_TermEquivClT_ext_Expression_ZF_ZF_Expression_fun$' * 'ZF_ZF_Expression_ZF_ZF_unit_TermEquivClT_ext_Expression_set$' ) > $o ).

tff(pred_def_60,type,
    'member$m': ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_ZF_fun_set$' ) > $o ).

tff(pred_def_61,type,
    'member$p': ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_set_fun_set$' ) > $o ).

tff(pred_def_62,type,
    'bij_betw$l': ( 'ZF_ZF_Expression_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_unit_TermEquivClT_ext_set$' ) > $o ).

tff(pred_def_63,type,
    'bij_betw$m': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_Expression_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_set$' * 'ZF_ZF_Expression_set$' ) > $o ).

tff(pred_def_64,type,
    'inj_on$e': ( 'ZF_ZF_Expression_ZF_ZF_Expression_Expression_ZF_ZF_Expression_fun$' * 'ZF_ZF_Expression_ZF_ZF_Expression_Expression_set$' ) > $o ).

tff(pred_def_65,type,
    'rel_IType$p': ( 'ZF_ZF_Expression_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > $o ).

tff(pred_def_66,type,
    'pred_IType$f': ( 'ZF_ZF_Language_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' ) > $o ).

tff(pred_def_67,type,
    'rel_IType$i': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(pred_def_68,type,
    'category_axioms$': 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_69,type,
    'signature$f': 'ZF_ZF_ZF_Language_unit_Signature_ext$' > $o ).

tff(pred_def_70,type,
    'zFAxioms_axioms$': 'ZF_ZF_unit_Axioms_ext$' > $o ).

tff(pred_def_71,type,
    'member$': ( 'ZF_ZF_Language$' * 'ZF_ZF_Language_set$' ) > $o ).

tff(pred_def_72,type,
    'pred_IType$e': ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' ) > $o ).

tff(pred_def_73,type,
    'pred_IType$i': ( 'ZF_ZF_Language_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' ) > $o ).

tff(pred_def_74,type,
    'pred_IType$h': ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > $o ).

tff(pred_def_75,type,
    'category_axioms$a': 'Unit_unit_unit_Category_ext$' > $o ).

tff(pred_def_76,type,
    'signature$h': 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > $o ).

tff(pred_def_77,type,
    'bij_betw$n': ( 'ZF_ZF_Expression_ZF_ZF_Expression_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_set$' ) > $o ).

tff(pred_def_78,type,
    'compDefined$': ( 'Unit_unit_unit_Category_ext$' * 'Unit$' * 'Unit$' ) > $o ).

tff(pred_def_79,type,
    'rel_IType$a': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(pred_def_80,type,
    'signature$g': 'ZF_set_ZF_set_unit_Signature_ext$' > $o ).

tff(pred_def_81,type,
    'signature$a': 'ZF_set_ZF_unit_Signature_ext$' > $o ).

tff(pred_def_82,type,
    'rel_IType$d': ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_83,type,
    'member$l': ( 'ZF_ZF_ZF_Language_fun$' * 'ZF_ZF_ZF_Language_fun_set$' ) > $o ).

tff(pred_def_84,type,
    'member$h': ( 'ZF_set_ZF_fun$' * 'ZF_set_ZF_fun_set$' ) > $o ).

tff(pred_def_85,type,
    'less_eq$d': ( 'ZF_set_set$' * 'ZF_set_set$' ) > $o ).

tff(pred_def_86,type,
    'rel_IType$f': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' ) > $o ).

tff(pred_def_87,type,
    'inj_on$c': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_Expression_Expression_ZF_ZF_Expression_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_Expression_Expression_set$' ) > $o ).

tff(pred_def_88,type,
    'member$a': ( 'ZF_ZF_unit_TermEquivClT_ext$' * 'ZF_ZF_unit_TermEquivClT_ext_set$' ) > $o ).

tff(pred_def_89,type,
    'member$n': ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_ZF_fun_set$' ) > $o ).

tff(pred_def_90,type,
    'fun_app$n': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod$' ) > $o ).

tff(pred_def_91,type,
    'member$e': ( 'Unit$' * 'Unit_set$' ) > $o ).

tff(pred_def_92,type,
    'pred_IType$g': ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' ) > $o ).

tff(pred_def_93,type,
    'rel_IType$b': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_94,type,
    'rel_IType$h': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_95,type,
    'fun_app$m': ( 'Unit_unit_prod_bool_fun$' * 'Unit_unit_prod$' ) > $o ).

tff(pred_def_96,type,
    'member$s': ( 'ZF_set_ZF_ZF_Language_fun$' * 'ZF_set_ZF_ZF_Language_fun_set$' ) > $o ).

tff(pred_def_97,type,
    'bij_betw$k': ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_ZF_unit_TermEquivClT_ext_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_set$' * 'ZF_ZF_unit_TermEquivClT_ext_set$' ) > $o ).

tff(pred_def_98,type,
    'bij_betw$f': ( 'ZF_ZF_ZF_Language_fun$' * 'ZF_set$' * 'ZF_ZF_Language_set$' ) > $o ).

tff(pred_def_99,type,
    'rel_IType$q': ( 'ZF_ZF_Language_ZF_ZF_Language_bool_fun_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_ZF_Language_ZF_set_IType$' * 'ZF_ZF_Language_ZF_set_IType$' ) > $o ).

tff(pred_def_100,type,
    'member$d': ( 'ZF_set$' * 'ZF_set_set$' ) > $o ).

tff(pred_def_101,type,
    'signature$c': 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > $o ).

tff(pred_def_102,type,
    'less_eq$a': ( 'ZF_ZF_unit_TermEquivClT_ext_set$' * 'ZF_ZF_unit_TermEquivClT_ext_set$' ) > $o ).

tff(pred_def_105,type,
    sP0: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_106,type,
    sP1: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_107,type,
    sP2: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_108,type,
    sP3: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_109,type,
    sP4: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_110,type,
    sP5: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > $o ).

tff(pred_def_111,type,
    sP6: 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > $o ).

tff(pred_def_112,type,
    sP7: 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > $o ).

tff(pred_def_113,type,
    sP8: 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > $o ).

tff(pred_def_114,type,
    sP9: 'ZF_ZF_ZF_Language_unit_Signature_ext$' > $o ).

tff(pred_def_115,type,
    sP10: 'ZF_set_ZF_set_unit_Signature_ext$' > $o ).

tff(pred_def_116,type,
    sP11: 'ZF_ZF_set_unit_Signature_ext$' > $o ).

tff(pred_def_117,type,
    sP12: 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > $o ).

tff(pred_def_118,type,
    sP13: 'ZF_ZF_Language_ZF_unit_Signature_ext$' > $o ).

tff(pred_def_119,type,
    sP14: 'ZF_set_ZF_unit_Signature_ext$' > $o ).

tff(pred_def_120,type,
    sP15: 'ZF_ZF_unit_Signature_ext$' > $o ).

tff(pred_def_121,type,
    sP16: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_122,type,
    sP17: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_123,type,
    sP18: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_124,type,
    sP19: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_125,type,
    sP20: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_126,type,
    sP21: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_127,type,
    sP22: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_128,type,
    sP23: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_129,type,
    sP24: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_130,type,
    sP25: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_131,type,
    sP26: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > $o ).

tff(pred_def_132,type,
    sP27: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_133,type,
    sP28: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_134,type,
    sP29: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_135,type,
    sP30: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_136,type,
    sP31: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_137,type,
    sP32: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > $o ).

tff(pred_def_138,type,
    sP33: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_139,type,
    sP34: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_140,type,
    sP35: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_141,type,
    sP36: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_142,type,
    sP37: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_143,type,
    sP38: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_144,type,
    sP39: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_145,type,
    sP40: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_146,type,
    sP41: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_147,type,
    sP42: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > $o ).

tff(pred_def_148,type,
    sP43: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > $o ).

tff(pred_def_149,type,
    sP44: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > $o ).

tff(pred_def_150,type,
    sP45: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > $o ).

tff(pred_def_151,type,
    sP46: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > $o ).

tff(pred_def_152,type,
    sP47: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > $o ).

tff(pred_def_153,type,
    sP48: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_154,type,
    sP49: ( 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_set$' ) > $o ).

tff(pred_def_155,type,
    sP50: ( 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_set$' ) > $o ).

tff(pred_def_156,type,
    sP51: ( 'ZF_set_unit_set_fun$' * 'ZF_set_unit_set_fun$' * 'ZF_set_set$' ) > $o ).

tff(pred_def_157,type,
    sP52: ( 'ZF_unit_set_fun$' * 'ZF_unit_set_fun$' * 'ZF_set$' ) > $o ).

tff(pred_def_158,type,
    sP53: ( 'ZF_set_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' * 'ZF_ZF_Expression_bool_fun$' ) > $o ).

tff(pred_def_159,type,
    sP54: ( 'ZF_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' * 'ZF_ZF_Expression_bool_fun$' ) > $o ).

tff(pred_def_160,type,
    sP55: ( 'ZF_set_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' * 'ZF_ZF_Language_bool_fun$' ) > $o ).

tff(pred_def_161,type,
    sP56: ( 'ZF_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' * 'ZF_ZF_Language_bool_fun$' ) > $o ).

tff(pred_def_162,type,
    sP57: ( 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' * 'ZF_set_bool_fun$' ) > $o ).

tff(pred_def_163,type,
    sP58: ( 'ZF_bool_fun$' * 'ZF_set_ZF_IType$' * 'ZF_set_bool_fun$' ) > $o ).

tff(pred_def_164,type,
    sP59: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_bool_fun$' ) > $o ).

tff(pred_def_165,type,
    sP60: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_bool_fun$' ) > $o ).

tff(pred_def_166,type,
    sP61: ( 'ZF_set_bool_fun$' * 'ZF_ZF_set_IType$' * 'ZF_bool_fun$' ) > $o ).

tff(pred_def_167,type,
    sP62: ( 'ZF_bool_fun$' * 'ZF_ZF_IType$' * 'ZF_bool_fun$' ) > $o ).

tff(pred_def_168,type,
    sP63: ( 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > $o ).

tff(pred_def_169,type,
    sP64: ( 'ZF_unit_set_fun$' * 'ZF_set$' * 'ZF_unit_set_fun$' ) > $o ).

tff(pred_def_170,type,
    sP65: ( 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > $o ).

tff(pred_def_171,type,
    sP66: ( 'ZF_set_unit_set_fun$' * 'ZF_set_set$' * 'ZF_set_unit_set_fun$' ) > $o ).

tff(pred_def_172,type,
    sP67: ( 'ZF_ZF_Expression_ZF_unit_Signature_ext$' * 'ZF_ZF_Expression$' * 'ZF$' * 'ZF_ZF_Expression$' ) > $o ).

tff(pred_def_173,type,
    sP68: ( 'ZF_ZF_Language_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' * 'ZF$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_174,type,
    sP69: ( 'ZF_ZF_ZF_Expression_unit_Signature_ext$' * 'ZF$' * 'ZF_ZF_Expression$' * 'ZF$' ) > $o ).

tff(pred_def_175,type,
    sP70: ( 'ZF_ZF_ZF_Language_unit_Signature_ext$' * 'ZF$' * 'ZF_ZF_Language$' * 'ZF$' ) > $o ).

tff(pred_def_176,type,
    sP71: ( 'ZF_ZF_set_unit_Signature_ext$' * 'ZF$' * 'ZF_set$' * 'ZF$' ) > $o ).

tff(pred_def_177,type,
    sP72: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF$' * 'ZF$' * 'ZF$' ) > $o ).

tff(pred_def_178,type,
    sP73: ( 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' * 'ZF_set$' * 'ZF_ZF_Expression$' * 'ZF_set$' ) > $o ).

tff(pred_def_179,type,
    sP74: ( 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' * 'ZF_set$' * 'ZF_ZF_Language$' * 'ZF_set$' ) > $o ).

tff(pred_def_180,type,
    sP75: ( 'ZF_set_ZF_set_unit_Signature_ext$' * 'ZF_set$' * 'ZF_set$' * 'ZF_set$' ) > $o ).

tff(pred_def_181,type,
    sP76: ( 'ZF_set_ZF_unit_Signature_ext$' * 'ZF_set$' * 'ZF$' * 'ZF_set$' ) > $o ).

tff(pred_def_182,type,
    sP77: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > $o ).

tff(pred_def_183,type,
    sP78: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' ) > $o ).

tff(pred_def_184,type,
    sP79: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' ) > $o ).

tff(pred_def_185,type,
    sP80: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' ) > $o ).

tff(pred_def_186,type,
    sP81: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' ) > $o ).

tff(pred_def_187,type,
    sP82: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_IType$' ) > $o ).

tff(pred_def_188,type,
    sP83: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > $o ).

tff(pred_def_189,type,
    sP84: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_ZF_Language_IType$' ) > $o ).

tff(pred_def_190,type,
    sP85: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(pred_def_191,type,
    sP86: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_192,type,
    sP87: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > $o ).

tff(pred_def_193,type,
    sP88: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > $o ).

tff(pred_def_194,type,
    sP89: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' ) > $o ).

tff(pred_def_195,type,
    sP90: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' ) > $o ).

tff(pred_def_196,type,
    sP91: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' ) > $o ).

tff(pred_def_197,type,
    sP92: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' ) > $o ).

tff(pred_def_198,type,
    sP93: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' ) > $o ).

tff(pred_def_199,type,
    sP94: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' ) > $o ).

tff(pred_def_200,type,
    sP95: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' ) > $o ).

tff(pred_def_201,type,
    sP96: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' ) > $o ).

tff(pred_def_202,type,
    sP97: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_IType$' ) > $o ).

tff(pred_def_203,type,
    sP98: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_set_ZF_IType$' ) > $o ).

tff(pred_def_204,type,
    sP99: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > $o ).

tff(pred_def_205,type,
    sP100: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > $o ).

tff(pred_def_206,type,
    sP101: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_ZF_Language_IType$' ) > $o ).

tff(pred_def_207,type,
    sP102: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_ZF_Language_IType$' ) > $o ).

tff(pred_def_208,type,
    sP103: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(pred_def_209,type,
    sP104: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(pred_def_210,type,
    sP105: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_211,type,
    sP106: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_212,type,
    sP107: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' ) > $o ).

tff(pred_def_213,type,
    sP108: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > $o ).

tff(pred_def_214,type,
    sP109: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' ) > $o ).

tff(pred_def_215,type,
    sP110: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(pred_def_216,type,
    sP111: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_217,type,
    sP112: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_218,type,
    sP113: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_219,type,
    sP114: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_220,type,
    sP115: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(pred_def_221,type,
    sP116: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_222,type,
    sP117: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' ) > $o ).

tff(pred_def_223,type,
    sP118: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' ) > $o ).

tff(pred_def_224,type,
    sP119: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > $o ).

tff(pred_def_225,type,
    sP120: ( 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > $o ).

tff(pred_def_226,type,
    sP121: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' ) > $o ).

tff(pred_def_227,type,
    sP122: ( 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' ) > $o ).

tff(pred_def_228,type,
    sP123: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(pred_def_229,type,
    sP124: ( 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(pred_def_230,type,
    sP125: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(pred_def_231,type,
    sP126: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(pred_def_232,type,
    sP127: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_233,type,
    sP128: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_234,type,
    sP129: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_235,type,
    sP130: ( 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_236,type,
    sP131: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_237,type,
    sP132: ( 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_238,type,
    sP133: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_239,type,
    sP134: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_240,type,
    sP135: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_241,type,
    sP136: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(f44598,plain,
    $false,
    inference(subsumption_resolution,[],[f44597,f19183]) ).

tff(f19183,plain,
    'a$' != 'fun_app$'(sK201('canonicalCat$'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),
    inference(backward_demodulation,[],[f3187,f18994]) ).

tff(f18994,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] : ( 'dom$'(X0) = sK201(X0) ),
    inference(superposition,[],[f4891,f3332]) ).

tff(f3332,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] : ( 'category_ext$'(sK199(X0),sK200(X0),sK201(X0),sK202(X0),sK203(X0),sK204(X0),'unity$') = X0 ),
    inference(cnf_transformation,[],[f1911]) ).

tff(f1911,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] : ( 'category_ext$'(sK199(X0),sK200(X0),sK201(X0),sK202(X0),sK203(X0),sK204(X0),'unity$') = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK199,sK200,sK201,sK202,sK203,sK204])],[f1001,f1910]) ).

tff(f1910,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] :
      ( ? [X1: 'ZF_set$',X2: 'ZF_set$',X3: 'ZF_ZF_fun$',X4: 'ZF_ZF_fun$',X5: 'ZF_ZF_fun$',X6: 'ZF_ZF_ZF_fun_fun$'] : ( 'category_ext$'(X1,X2,X3,X4,X5,X6,'unity$') = X0 )
     => ( 'category_ext$'(sK199(X0),sK200(X0),sK201(X0),sK202(X0),sK203(X0),sK204(X0),'unity$') = X0 ) ),
    introduced(choice_axiom,[]) ).

tff(f1001,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] :
    ? [X1: 'ZF_set$',X2: 'ZF_set$',X3: 'ZF_ZF_fun$',X4: 'ZF_ZF_fun$',X5: 'ZF_ZF_fun$',X6: 'ZF_ZF_ZF_fun_fun$'] : ( 'category_ext$'(X1,X2,X3,X4,X5,X6,'unity$') = X0 ),
    inference(ennf_transformation,[],[f725]) ).

tff(f725,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] :
      ~ ! [X1: 'ZF_set$',X2: 'ZF_set$',X3: 'ZF_ZF_fun$',X4: 'ZF_ZF_fun$',X5: 'ZF_ZF_fun$',X6: 'ZF_ZF_ZF_fun_fun$'] : ( 'category_ext$'(X1,X2,X3,X4,X5,X6,'unity$') != X0 ),
    inference(flattening,[],[f724]) ).

tff(f724,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] :
      ~ ! [X1: 'ZF_set$',X2: 'ZF_set$',X3: 'ZF_ZF_fun$',X4: 'ZF_ZF_fun$',X5: 'ZF_ZF_fun$',X6: 'ZF_ZF_ZF_fun_fun$'] :
          ( ~ 'category_ext$'(X1,X2,X3,X4,X5,X6,'unity$') = X0 ),
    inference(true_and_false_elimination,[],[f267]) ).

tff(f267,axiom,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] :
      ( ! [X1: 'ZF_set$',X2: 'ZF_set$',X3: 'ZF_ZF_fun$',X4: 'ZF_ZF_fun$',X5: 'ZF_ZF_fun$',X6: 'ZF_ZF_ZF_fun_fun$'] :
          ( ( 'category_ext$'(X1,X2,X3,X4,X5,X6,'unity$') = X0 )
         => $false )
     => $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom265) ).

tff(f4891,plain,
    ! [X2: 'ZF_ZF_fun$',X3: 'ZF_ZF_fun$',X0: 'ZF_set$',X1: 'ZF_set$',X6: 'Unit$',X4: 'ZF_ZF_fun$',X5: 'ZF_ZF_ZF_fun_fun$'] : ( 'dom$'('category_ext$'(X0,X1,X2,X3,X4,X5,X6)) = X2 ),
    inference(cnf_transformation,[],[f206]) ).

tff(f206,axiom,
    ! [X0: 'ZF_set$',X1: 'ZF_set$',X2: 'ZF_ZF_fun$',X3: 'ZF_ZF_fun$',X4: 'ZF_ZF_fun$',X5: 'ZF_ZF_ZF_fun_fun$',X6: 'Unit$'] : ( 'dom$'('category_ext$'(X0,X1,X2,X3,X4,X5,X6)) = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom204) ).

tff(f3187,plain,
    'a$' != 'fun_app$'('dom$'('canonicalCat$'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),
    inference(cnf_transformation,[],[f700]) ).

tff(f700,plain,
    'a$' != 'fun_app$'('dom$'('canonicalCat$'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),
    inference(flattening,[],[f48]) ).

tff(f48,negated_conjecture,
    ( ~ 'a$' = 'fun_app$'('dom$'('canonicalCat$'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')) ),
    inference(negated_conjecture,[],[f47]) ).

tff(f47,conjecture,
    'a$' = 'fun_app$'('dom$'('canonicalCat$'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture46) ).

tff(f44597,plain,
    'a$' = 'fun_app$'(sK201('canonicalCat$'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),
    inference(forward_demodulation,[],[f44591,f13110]) ).

tff(f13110,plain,
    ! [X2: 'ZF$',X0: 'ZF$',X1: 'ZF_ZF_Expression$'] : ( 'fun_app$'('cLDomain$'('t$'),'fun_app$'('termEquivCl$'('t$',X0,X1),X2)) = X0 ),
    inference(resolution,[],[f4294,f3188]) ).

tff(f3188,plain,
    'zFAxioms$'('t$'),
    inference(cnf_transformation,[],[f49]) ).

tff(f49,axiom,
    'zFAxioms$'('t$'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis47) ).

tff(f4294,plain,
    ! [X2: 'ZF_ZF_Expression$',X3: 'ZF$',X0: 'ZF_ZF_unit_Axioms_ext$',X1: 'ZF$'] :
      ( ~ 'zFAxioms$'(X0)
      | ( 'fun_app$'('cLDomain$'(X0),'fun_app$'('termEquivCl$'(X0,X1,X2),X3)) = X1 ) ),
    inference(cnf_transformation,[],[f1321]) ).

tff(f1321,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$',X1: 'ZF$',X2: 'ZF_ZF_Expression$',X3: 'ZF$'] :
      ( ( 'fun_app$'('cLDomain$'(X0),'fun_app$'('termEquivCl$'(X0,X1,X2),X3)) = X1 )
      | ~ 'zFAxioms$'(X0) ),
    inference(ennf_transformation,[],[f51]) ).

tff(f51,axiom,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$',X1: 'ZF$',X2: 'ZF_ZF_Expression$',X3: 'ZF$'] :
      ( 'zFAxioms$'(X0)
     => ( 'fun_app$'('cLDomain$'(X0),'fun_app$'('termEquivCl$'(X0,X1,X2),X3)) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom49) ).

tff(f44591,plain,
    'fun_app$'(sK201('canonicalCat$'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')) = 'fun_app$'('cLDomain$'('t$'),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),
    inference(backward_demodulation,[],[f25775,f44588]) ).

tff(f44588,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLDomain$'(X0) = sK201('canonicalCat$a'(X0)) ),
    inference(superposition,[],[f30074,f18994]) ).

tff(f30074,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLDomain$'(X0) = 'dom$'('canonicalCat$a'(X0)) ),
    inference(superposition,[],[f4891,f19261]) ).

tff(f19261,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$a'(X0) = 'category_ext$'(sK199('canonicalCat$a'(X0)),'collect$d'('uui$'(X0)),'cLDomain$'(X0),'cLCodomain$'(X0),'uuj$'(X0),'canonicalComp$'(X0),'unity$') ),
    inference(backward_demodulation,[],[f3235,f19251]) ).

tff(f19251,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'baseTypes$'('aSignature$'(X0)) = sK199('canonicalCat$a'(X0)) ),
    inference(backward_demodulation,[],[f5380,f18995]) ).

tff(f18995,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] : ( 'obj$'(X0) = sK199(X0) ),
    inference(superposition,[],[f4892,f3332]) ).

tff(f4892,plain,
    ! [X2: 'ZF_ZF_fun$',X3: 'ZF_ZF_fun$',X0: 'ZF_set$',X1: 'ZF_set$',X6: 'Unit$',X4: 'ZF_ZF_fun$',X5: 'ZF_ZF_ZF_fun_fun$'] : ( 'obj$'('category_ext$'(X0,X1,X2,X3,X4,X5,X6)) = X0 ),
    inference(cnf_transformation,[],[f202]) ).

tff(f202,axiom,
    ! [X0: 'ZF_set$',X1: 'ZF_set$',X2: 'ZF_ZF_fun$',X3: 'ZF_ZF_fun$',X4: 'ZF_ZF_fun$',X5: 'ZF_ZF_ZF_fun_fun$',X6: 'Unit$'] : ( 'obj$'('category_ext$'(X0,X1,X2,X3,X4,X5,X6)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom200) ).

tff(f5380,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'baseTypes$'('aSignature$'(X0)) = 'obj$'('canonicalCat$a'(X0)) ),
    inference(forward_demodulation,[],[f5379,f3224]) ).

tff(f3224,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'obj$'('canonicalCat$'(X0)) = 'baseTypes$'('aSignature$'(X0)) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f142,axiom,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'obj$'('canonicalCat$'(X0)) = 'baseTypes$'('aSignature$'(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom140) ).

tff(f5379,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'obj$'('canonicalCat$'(X0)) = 'obj$'('canonicalCat$a'(X0)) ),
    inference(superposition,[],[f3223,f3222]) ).

tff(f3222,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$'(X0) = 'fun_app$al'('makeCat$a','canonicalCat$a'(X0)) ),
    inference(cnf_transformation,[],[f59]) ).

tff(f59,axiom,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$'(X0) = 'fun_app$al'('makeCat$a','canonicalCat$a'(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom57) ).

tff(f3223,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] : ( 'obj$'(X0) = 'obj$'('fun_app$al'('makeCat$a',X0)) ),
    inference(cnf_transformation,[],[f95]) ).

tff(f95,axiom,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] : ( 'obj$'(X0) = 'obj$'('fun_app$al'('makeCat$a',X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom93) ).

tff(f3235,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$a'(X0) = 'category_ext$'('baseTypes$'('aSignature$'(X0)),'collect$d'('uui$'(X0)),'cLDomain$'(X0),'cLCodomain$'(X0),'uuj$'(X0),'canonicalComp$'(X0),'unity$') ),
    inference(cnf_transformation,[],[f263]) ).

tff(f263,axiom,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$a'(X0) = 'category_ext$'('baseTypes$'('aSignature$'(X0)),'collect$d'('uui$'(X0)),'cLDomain$'(X0),'cLCodomain$'(X0),'uuj$'(X0),'canonicalComp$'(X0),'unity$') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom261) ).

tff(f25775,plain,
    'fun_app$'(sK201('canonicalCat$'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')) = 'fun_app$'(sK201('canonicalCat$a'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),
    inference(forward_demodulation,[],[f25736,f3222]) ).

tff(f25736,plain,
    'fun_app$'(sK201('canonicalCat$a'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')) = 'fun_app$'(sK201('fun_app$al'('makeCat$a','canonicalCat$a'('t$'))),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),
    inference(resolution,[],[f19367,f19399]) ).

tff(f19399,plain,
    'fun_app$g'('fun_app$h'('member$c','fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),sK200('canonicalCat$a'('t$'))),
    inference(backward_demodulation,[],[f5386,f18997]) ).

tff(f18997,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] : ( 'mor$'(X0) = sK200(X0) ),
    inference(superposition,[],[f4894,f3332]) ).

tff(f4894,plain,
    ! [X2: 'ZF_ZF_fun$',X3: 'ZF_ZF_fun$',X0: 'ZF_set$',X1: 'ZF_set$',X6: 'Unit$',X4: 'ZF_ZF_fun$',X5: 'ZF_ZF_ZF_fun_fun$'] : ( 'mor$'('category_ext$'(X0,X1,X2,X3,X4,X5,X6)) = X1 ),
    inference(cnf_transformation,[],[f200]) ).

tff(f200,axiom,
    ! [X0: 'ZF_set$',X1: 'ZF_set$',X2: 'ZF_ZF_fun$',X3: 'ZF_ZF_fun$',X4: 'ZF_ZF_fun$',X5: 'ZF_ZF_ZF_fun_fun$',X6: 'Unit$'] : ( 'mor$'('category_ext$'(X0,X1,X2,X3,X4,X5,X6)) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom198) ).

tff(f5386,plain,
    'fun_app$g'('fun_app$h'('member$c','fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),'mor$'('canonicalCat$a'('t$'))),
    inference(backward_demodulation,[],[f3189,f5385]) ).

tff(f5385,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'mor$'('canonicalCat$'(X0)) = 'mor$'('canonicalCat$a'(X0)) ),
    inference(superposition,[],[f3225,f3222]) ).

tff(f3225,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] : ( 'mor$'('fun_app$al'('makeCat$a',X0)) = 'mor$'(X0) ),
    inference(cnf_transformation,[],[f69]) ).

tff(f69,axiom,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] : ( 'mor$'('fun_app$al'('makeCat$a',X0)) = 'mor$'(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom67) ).

tff(f3189,plain,
    'fun_app$g'('fun_app$h'('member$c','fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),'mor$'('canonicalCat$'('t$'))),
    inference(cnf_transformation,[],[f50]) ).

tff(f50,axiom,
    'fun_app$g'('fun_app$h'('member$c','fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),'mor$'('canonicalCat$'('t$'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis48) ).

tff(f19367,plain,
    ! [X0: 'ZF$',X1: 'ZF_ZF_unit_Category_ext$'] :
      ( ~ 'fun_app$g'('fun_app$h'('member$c',X0),sK200(X1))
      | ( 'fun_app$'(sK201(X1),X0) = 'fun_app$'(sK201('fun_app$al'('makeCat$a',X1)),X0) ) ),
    inference(backward_demodulation,[],[f19186,f18997]) ).

tff(f19186,plain,
    ! [X0: 'ZF$',X1: 'ZF_ZF_unit_Category_ext$'] :
      ( ( 'fun_app$'(sK201(X1),X0) = 'fun_app$'(sK201('fun_app$al'('makeCat$a',X1)),X0) )
      | ~ 'fun_app$g'('fun_app$h'('member$c',X0),'mor$'(X1)) ),
    inference(forward_demodulation,[],[f19097,f18994]) ).

tff(f19097,plain,
    ! [X0: 'ZF$',X1: 'ZF_ZF_unit_Category_ext$'] :
      ( ( 'fun_app$'('dom$'('fun_app$al'('makeCat$a',X1)),X0) = 'fun_app$'(sK201(X1),X0) )
      | ~ 'fun_app$g'('fun_app$h'('member$c',X0),'mor$'(X1)) ),
    inference(backward_demodulation,[],[f3555,f18994]) ).

tff(f3555,plain,
    ! [X0: 'ZF$',X1: 'ZF_ZF_unit_Category_ext$'] :
      ( ( 'fun_app$'('dom$'(X1),X0) = 'fun_app$'('dom$'('fun_app$al'('makeCat$a',X1)),X0) )
      | ~ 'fun_app$g'('fun_app$h'('member$c',X0),'mor$'(X1)) ),
    inference(cnf_transformation,[],[f1024]) ).

tff(f1024,plain,
    ! [X0: 'ZF$',X1: 'ZF_ZF_unit_Category_ext$'] :
      ( ( 'fun_app$'('dom$'(X1),X0) = 'fun_app$'('dom$'('fun_app$al'('makeCat$a',X1)),X0) )
      | ~ 'fun_app$g'('fun_app$h'('member$c',X0),'mor$'(X1)) ),
    inference(ennf_transformation,[],[f56]) ).

tff(f56,axiom,
    ! [X0: 'ZF$',X1: 'ZF_ZF_unit_Category_ext$'] :
      ( 'fun_app$g'('fun_app$h'('member$c',X0),'mor$'(X1))
     => ( 'fun_app$'('dom$'(X1),X0) = 'fun_app$'('dom$'('fun_app$al'('makeCat$a',X1)),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom54) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : ITP001_1 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat May 18 16:19:53 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (20489)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47  % (20492)WARNING: value z3 for option sas not known
% 0.20/0.48  % (20490)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.48  % (20495)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.48  % (20491)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.48  % (20493)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.48  % (20496)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.48  % (20492)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.48  % (20494)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 1.45/0.64  % (20493)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.45/0.64  % (20493)Terminated due to inappropriate strategy.
% 1.45/0.64  % (20493)------------------------------
% 1.45/0.64  % (20493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.45/0.64  % (20493)Termination reason: Inappropriate
% 1.45/0.64  
% 1.45/0.64  % (20493)Memory used [KB]: 4659
% 1.45/0.64  % (20493)Time elapsed: 0.169 s
% 1.45/0.64  % (20493)Instructions burned: 363 (million)
% 1.45/0.64  % (20493)------------------------------
% 1.45/0.64  % (20493)------------------------------
% 1.45/0.66  % (20497)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 1.79/0.74  % (20497)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.79/0.74  % (20497)Terminated due to inappropriate strategy.
% 1.79/0.74  % (20497)------------------------------
% 1.79/0.74  % (20497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.79/0.74  % (20497)Termination reason: Inappropriate
% 1.79/0.74  
% 1.79/0.74  % (20497)Memory used [KB]: 4238
% 1.79/0.74  % (20497)Time elapsed: 0.083 s
% 1.79/0.74  % (20497)Instructions burned: 167 (million)
% 1.79/0.74  % (20497)------------------------------
% 1.79/0.74  % (20497)------------------------------
% 2.30/0.76  % (20498)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 2.81/0.87  % (20491)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.81/0.87  % (20491)Terminated due to inappropriate strategy.
% 2.81/0.87  % (20491)------------------------------
% 2.81/0.87  % (20491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.81/0.87  % (20491)Termination reason: Inappropriate
% 2.81/0.87  
% 2.81/0.87  % (20491)Memory used [KB]: 5162
% 2.81/0.87  % (20491)Time elapsed: 0.396 s
% 2.81/0.87  % (20491)Instructions burned: 914 (million)
% 2.81/0.87  % (20491)------------------------------
% 2.81/0.87  % (20491)------------------------------
% 2.81/0.87  % (20490)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.81/0.87  % (20490)Terminated due to inappropriate strategy.
% 2.81/0.87  % (20490)------------------------------
% 2.81/0.87  % (20490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.81/0.87  % (20490)Termination reason: Inappropriate
% 2.81/0.87  
% 2.81/0.87  % (20490)Memory used [KB]: 5162
% 2.81/0.87  % (20490)Time elapsed: 0.399 s
% 2.81/0.87  % (20490)Instructions burned: 926 (million)
% 2.81/0.87  % (20490)------------------------------
% 2.81/0.87  % (20490)------------------------------
% 2.81/0.89  % (20499)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 2.81/0.89  % (20500)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 26.27/4.22  % (20499)First to succeed.
% 26.27/4.23  % (20499)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20489"
% 26.56/4.23  % (20499)Refutation found. Thanks to Tanya!
% 26.56/4.23  % SZS status Theorem for theBenchmark
% 26.56/4.23  % SZS output start Proof for theBenchmark
% See solution above
% 26.58/4.24  % (20499)------------------------------
% 26.58/4.24  % (20499)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 26.58/4.24  % (20499)Termination reason: Refutation
% 26.58/4.24  
% 26.58/4.24  % (20499)Memory used [KB]: 24445
% 26.58/4.24  % (20499)Time elapsed: 3.352 s
% 26.58/4.24  % (20499)Instructions burned: 6121 (million)
% 26.58/4.24  % (20489)Success in time 3.883 s
%------------------------------------------------------------------------------