Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP298_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:33:32 AM UTC 2026

% Result   : Theorem 17.10s 3.67s
% Output   : Refutation 19.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   59 (  34 unt;   0 typ;   5 def)
%            Number of atoms       :   87 (  41 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   52 (  24   ~;  19   |;   0   &)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :  153 ( 151 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  184 ( 182 usr;   6 prp; 0-4 aty)
%            Number of functors    : 1064 (1064 usr;  64 con; 0-7 aty)
%            Number of variables   :   76 (  76   !;   0   ?;  76   :)

% 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_448,type,
    sK75: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' * 'ZF$' * 'ZF$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_449,type,
    sK76: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' * 'ZF$' * 'ZF$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_450,type,
    sK77: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_set_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_451,type,
    sK78: 'ZF_ZF_Expression$' > 'ZF_ZF_Expression$' ).

tff(func_def_452,type,
    sK79: 'ZF_ZF_Expression$' > 'ZF$' ).

tff(func_def_453,type,
    sK80: 'ZF_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_454,type,
    sK81: 'ZF_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_455,type,
    sK82: ( '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_456,type,
    sK83: ( '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_457,type,
    sK84: ( '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_458,type,
    sK85: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_set_fun$' * 'ZF_ZF_Expression_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_459,type,
    sK86: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_460,type,
    sK87: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_461,type,
    sK88: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_462,type,
    sK89: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_463,type,
    sK90: ( 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_464,type,
    sK91: ( 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_465,type,
    sK92: ( 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_466,type,
    sK93: ( 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_467,type,
    sK94: ( 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_468,type,
    sK95: ( 'ZF_ZF_set_set_fun$' * 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_469,type,
    sK96: ( 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_ZF_ZF_Language_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_470,type,
    sK97: ( 'ZF_ZF_ZF_Language_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_471,type,
    sK98: ( 'Unit_unit_prod$' * 'Unit_unit_unit_Category_ext$' ) > 'Unit$' ).

tff(func_def_472,type,
    sK99: ( 'Unit_unit_prod$' * 'Unit_unit_unit_Category_ext$' ) > 'Unit$' ).

tff(func_def_473,type,
    sK100: ( 'ZF_set_unit_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_474,type,
    sK101: ( 'ZF_set_unit_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_475,type,
    sK102: ( 'ZF_set_unit_set_fun$' * 'ZF_set_unit_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_476,type,
    sK103: ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_477,type,
    sK104: ( 'ZF_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_478,type,
    sK105: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' * 'ZF_ZF_Expression_bool_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_479,type,
    sK106: ( 'ZF_set$' * 'ZF_ZF_set_set_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_480,type,
    sK107: ( 'ZF_set_unit_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_481,type,
    sK108: ( 'ZF_ZF_set_fun$' * 'ZF_ZF_set_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_482,type,
    sK109: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_483,type,
    sK110: ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_set$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_484,type,
    sK111: ( 'ZF_set_ZF_set_set_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_485,type,
    sK112: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_486,type,
    sK113: ( 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set$' ).

tff(func_def_487,type,
    sK114: ( 'ZF_ZF_set_set_fun$' * 'ZF_set$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF_ZF_set_fun$' ).

tff(func_def_488,type,
    sK115: ( 'ZF_ZF_set_set_fun$' * 'ZF_set$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_489,type,
    sK116: ( 'ZF_ZF_set_set_fun$' * 'ZF_set$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_490,type,
    sK117: ( 'ZF_ZF_set_set_fun$' * 'ZF_set$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_491,type,
    sK118: ( 'ZF_ZF_set_IType$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_492,type,
    sK119: ( 'ZF_bool_fun$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_493,type,
    sK120: ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_prod$' ) > 'ZF$' ).

tff(func_def_494,type,
    sK121: ( 'ZF_ZF_unit_Category_ext$' * 'ZF_ZF_prod$' ) > 'ZF$' ).

tff(func_def_495,type,
    sK122: 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_496,type,
    sK123: 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_497,type,
    sK124: 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_498,type,
    sK125: 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_499,type,
    sK126: ( 'ZF_set_set$' * 'ZF_set_unit_set_fun$' ) > 'ZF_set$' ).

tff(func_def_500,type,
    sK127: ( 'ZF_set_ZF_IType$' * 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_501,type,
    sK128: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_set_ZF_IType$' ) > 'ZF$' ).

tff(func_def_502,type,
    sK129: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_fun$' ) > 'ZF_set$' ).

tff(func_def_503,type,
    sK130: ( 'ZF$' * 'ZF$' * 'ZF_ZF_unit_Axioms_ext$' * 'ZF$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_504,type,
    sK131: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_505,type,
    sK132: 'Unit_unit_unit_Category_ext$' > 'Unit_set$' ).

tff(func_def_506,type,
    sK133: 'Unit_unit_unit_Category_ext$' > 'Unit_set$' ).

tff(func_def_507,type,
    sK134: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_508,type,
    sK135: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_unit_fun_fun$' ).

tff(func_def_509,type,
    sK136: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_510,type,
    sK137: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' ) > 'ZF_ZF_ZF_Language_fun$' ).

tff(func_def_511,type,
    sK138: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_512,type,
    sK139: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_513,type,
    sK140: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_514,type,
    sK141: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF_set$' ).

tff(func_def_515,type,
    sK142: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_516,type,
    sK143: ( 'ZF_set_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_517,type,
    sK144: ( 'ZF_set_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_518,type,
    sK145: 'ZF_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_519,type,
    sK146: 'ZF_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_520,type,
    sK147: ( 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_521,type,
    sK148: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Expression$' * 'Nat$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_522,type,
    sK149: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Expression$' * 'Nat$' ) > 'ZF$' ).

tff(func_def_523,type,
    sK150: ( 'ZF_ZF_fun$' * 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ) > 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' ).

tff(func_def_524,type,
    sK151: ( 'ZF_ZF_fun$' * 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ) > 'ZF$' ).

tff(func_def_525,type,
    sK152: ( 'ZF_ZF_fun$' * 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ) > 'ZF$' ).

tff(func_def_526,type,
    sK153: ( 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' ) > 'ZF_ZF_Expression_set$' ).

tff(func_def_527,type,
    sK154: ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_528,type,
    sK155: ( 'ZF_ZF_ZF_Language_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_529,type,
    sK156: ( 'ZF_ZF_ZF_Language_fun$' * 'ZF_ZF_Language_ZF_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_530,type,
    sK157: ( 'ZF_ZF_Expression_ZF_IType$' * 'ZF_ZF_Expression_bool_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_531,type,
    sK158: ( 'ZF_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' ) > 'ZF$' ).

tff(func_def_532,type,
    sK159: ( 'ZF_set_ZF_set_set_fun$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_533,type,
    sK160: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_534,type,
    sK161: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_535,type,
    sK162: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_536,type,
    sK163: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_537,type,
    sK164: ( 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_538,type,
    sK165: ( 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_539,type,
    sK166: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF_set$' ).

tff(func_def_540,type,
    sK167: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_541,type,
    sK168: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_ZF_Language_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_542,type,
    sK169: ( 'ZF_bool_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_543,type,
    sK170: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_544,type,
    sK171: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_545,type,
    sK172: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_546,type,
    sK173: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_547,type,
    sK174: ( 'ZF_ZF_Expression_set$' * 'ZF_set$' * 'ZF_ZF_ZF_Expression_fun$' ) > 'ZF$' ).

tff(func_def_548,type,
    sK175: ( 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_549,type,
    sK176: ( 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' ) > 'ZF$' ).

tff(func_def_550,type,
    sK177: ( 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_551,type,
    sK178: ( 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_552,type,
    sK179: 'ZF_set_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_553,type,
    sK180: 'ZF_set_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_554,type,
    sK181: ( 'ZF_bool_fun$' * 'ZF_ZF_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_555,type,
    sK182: ( 'ZF_bool_fun$' * 'ZF_ZF_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_556,type,
    sK183: ( 'ZF$' * 'ZF$' * 'ZF_ZF_unit_Signature_ext$' * 'ZF$' * 'ZF_ZF_Expression$' ) > 'ZF$' ).

tff(func_def_557,type,
    sK184: ( 'ZF_ZF_set_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_558,type,
    sK185: ( 'ZF_ZF_set_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_559,type,
    sK186: ( 'ZF_ZF_set_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_set$' ) > 'ZF_ZF_fun$' ).

tff(func_def_560,type,
    sK187: ( 'ZF_ZF_set_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_561,type,
    sK188: 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_562,type,
    sK189: 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_563,type,
    sK190: 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_564,type,
    sK191: 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_565,type,
    sK192: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_566,type,
    sK193: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_567,type,
    sK194: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_Language_bool_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_568,type,
    sK195: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_569,type,
    sK196: ( 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_570,type,
    sK197: ( 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_571,type,
    sK198: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_572,type,
    sK199: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_573,type,
    sK200: ( 'ZF_ZF_set_fun$' * 'ZF_set$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_574,type,
    sK201: ( 'ZF_ZF_set_fun$' * 'ZF_set$' * 'ZF_set_ZF_fun$' ) > 'ZF$' ).

tff(func_def_575,type,
    sK202: ( 'ZF_ZF_set_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_fun$' ) > 'ZF_set$' ).

tff(func_def_576,type,
    sK203: ( 'ZF_ZF_unit_TermEquivClT_ext_bool_fun$' * 'ZF_ZF_unit_TermEquivClT_ext_bool_fun$' ) > 'ZF_ZF_unit_TermEquivClT_ext$' ).

tff(func_def_577,type,
    sK204: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_578,type,
    sK205: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_579,type,
    sK206: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_580,type,
    sK207: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'Unit$' ).

tff(func_def_581,type,
    sK208: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF_ZF_unit_Category_ext$' ).

tff(func_def_582,type,
    sK209: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_583,type,
    sK210: ( 'ZF_set_unit_set_fun$' * 'ZF_set_set$' * 'ZF_set_unit_fun$' ) > 'ZF_set$' ).

tff(func_def_584,type,
    sK211: 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_585,type,
    sK212: 'ZF_set_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_586,type,
    sK213: ( 'ZF_set_set$' * 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_587,type,
    sK214: ( 'ZF_set_ZF_set_IType$' * 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_588,type,
    sK215: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_589,type,
    sK216: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_590,type,
    sK217: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_591,type,
    sK218: ( 'ZF_ZF_Expression_ZF_set_IType$' * 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_592,type,
    sK219: ( 'ZF_ZF_Expression_ZF_set_IType$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_593,type,
    sK220: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_594,type,
    sK221: 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_595,type,
    sK222: 'ZF_ZF_Language_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_596,type,
    sK223: ( 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_597,type,
    sK224: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_598,type,
    sK225: ( 'ZF_ZF_Language_ZF_set_set_fun$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_599,type,
    sK226: ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_600,type,
    sK227: ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF$' ).

tff(func_def_601,type,
    sK228: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_602,type,
    sK229: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_603,type,
    sK230: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_604,type,
    sK231: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_605,type,
    sK232: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_606,type,
    sK233: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_607,type,
    sK234: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_608,type,
    sK235: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_609,type,
    sK236: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_610,type,
    sK237: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_611,type,
    sK238: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_612,type,
    sK239: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_613,type,
    sK240: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_614,type,
    sK241: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_615,type,
    sK242: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_616,type,
    sK243: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_617,type,
    sK244: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_618,type,
    sK245: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Language$' ).

tff(func_def_619,type,
    sK246: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_620,type,
    sK247: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_621,type,
    sK248: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_622,type,
    sK249: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_623,type,
    sK250: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_624,type,
    sK251: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_625,type,
    sK252: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_626,type,
    sK253: ( 'ZF_ZF_Expression_unit_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_627,type,
    sK254: ( 'ZF_ZF_Language_ZF_set_set_fun$' * 'ZF_ZF_Language_ZF_set_bool_fun_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_628,type,
    sK255: ( 'ZF_ZF_Language_ZF_set_set_fun$' * 'ZF_ZF_Language_ZF_set_bool_fun_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_set$' ).

tff(func_def_629,type,
    sK256: ( 'ZF_ZF_Language_ZF_set_set_fun$' * 'ZF_ZF_Language_ZF_set_bool_fun_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language_ZF_set_fun$' ).

tff(func_def_630,type,
    sK257: ( 'ZF_ZF_Language_ZF_set_set_fun$' * 'ZF_ZF_Language_ZF_set_bool_fun_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_631,type,
    sK258: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_632,type,
    sK259: ( 'ZF_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_633,type,
    sK260: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_634,type,
    sK261: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_635,type,
    sK262: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_636,type,
    sK263: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_637,type,
    sK264: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_638,type,
    sK265: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_639,type,
    sK266: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_640,type,
    sK267: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_641,type,
    sK268: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_642,type,
    sK269: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_643,type,
    sK270: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_644,type,
    sK271: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_645,type,
    sK272: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_646,type,
    sK273: ( 'ZF_set$' * 'ZF_unit_set_fun$' * 'ZF_unit_set_fun$' ) > 'ZF$' ).

tff(func_def_647,type,
    sK274: ( 'ZF_unit_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_648,type,
    sK275: ( 'ZF_unit_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_649,type,
    sK276: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_650,type,
    sK277: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_651,type,
    sK278: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_652,type,
    sK279: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_653,type,
    sK280: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_654,type,
    sK281: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_655,type,
    sK282: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_656,type,
    sK283: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_657,type,
    sK284: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_658,type,
    sK285: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_659,type,
    sK286: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_660,type,
    sK287: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_661,type,
    sK288: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_662,type,
    sK289: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_663,type,
    sK290: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_664,type,
    sK291: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_665,type,
    sK292: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_666,type,
    sK293: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Language$' ).

tff(func_def_667,type,
    sK294: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_668,type,
    sK295: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_669,type,
    sK296: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_670,type,
    sK297: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_671,type,
    sK298: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_672,type,
    sK299: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_673,type,
    sK300: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_674,type,
    sK301: ( 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_675,type,
    sK302: ( 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_676,type,
    sK303: ( 'ZF_ZF_set_IType$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_677,type,
    sK304: ( 'ZF_ZF_set_IType$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_678,type,
    sK305: ( '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$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_679,type,
    sK306: ( 'ZF_set_ZF_set_set_fun$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_680,type,
    sK307: ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_681,type,
    sK308: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_682,type,
    sK309: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_683,type,
    sK310: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_684,type,
    sK311: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_685,type,
    sK312: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_686,type,
    sK313: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_687,type,
    sK314: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_688,type,
    sK315: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_689,type,
    sK316: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_690,type,
    sK317: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_691,type,
    sK318: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_692,type,
    sK319: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_693,type,
    sK320: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_694,type,
    sK321: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_695,type,
    sK322: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_696,type,
    sK323: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_697,type,
    sK324: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_698,type,
    sK325: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_699,type,
    sK326: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_700,type,
    sK327: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_701,type,
    sK328: ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_702,type,
    sK329: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_703,type,
    sK330: ( 'ZF_set_set$' * 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_704,type,
    sK331: ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_set$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_705,type,
    sK332: ( 'ZF_ZF_unit_TermEquivClT_ext$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_706,type,
    sK333: ( 'ZF_ZF_unit_TermEquivClT_ext$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_707,type,
    sK334: ( 'ZF_ZF_unit_TermEquivClT_ext$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_708,type,
    sK335: ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_709,type,
    sK336: ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_710,type,
    sK337: ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' ) > 'ZF_ZF_Language_ZF_fun$' ).

tff(func_def_711,type,
    sK338: ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_712,type,
    sK339: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_713,type,
    sK340: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_714,type,
    sK341: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_715,type,
    sK342: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > 'ZF$' ).

tff(func_def_716,type,
    sK343: ( 'ZF_ZF_ZF_Language_fun$' * 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_717,type,
    sK344: ( 'ZF_ZF_fun$' * 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_718,type,
    sK345: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_719,type,
    sK346: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_set_set_fun$' ) > 'ZF$' ).

tff(func_def_720,type,
    sK347: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_721,type,
    sK348: ( 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_722,type,
    sK349: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_723,type,
    sK350: ( 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_724,type,
    sK351: 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_725,type,
    sK352: 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_726,type,
    sK353: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_727,type,
    sK354: ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_728,type,
    sK355: ( 'ZF_ZF_ZF_Expression_IType$' * 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_729,type,
    sK356: ( 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_730,type,
    sK357: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_731,type,
    sK358: ( 'ZF_set_set$' * 'ZF_set_ZF_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_732,type,
    sK359: ( 'ZF_set_set$' * 'ZF_set_ZF_fun$' ) > 'ZF_set$' ).

tff(func_def_733,type,
    sK360: ( 'ZF_ZF_fun$' * 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_734,type,
    sK361: ( 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_735,type,
    sK362: ( 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_736,type,
    sK363: ( 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_737,type,
    sK364: ( 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_738,type,
    sK365: 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_739,type,
    sK366: 'ZF_ZF_ZF_Language_unit_Signature_ext$' > 'ZF_ZF_Language$' ).

tff(func_def_740,type,
    sK367: ( 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Language_fun$' ) > 'ZF$' ).

tff(func_def_741,type,
    sK368: ( 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' * 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_unit_Signature_ext_ZF_ZF_unit_Signature_ext_fun$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_742,type,
    sK369: ( 'ZF_set$' * 'ZF_set_set$' * 'ZF_set_ZF_fun$' ) > 'ZF_set$' ).

tff(func_def_743,type,
    sK370: ( 'ZF_set_ZF_set_fun$' * 'ZF_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_744,type,
    sK371: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_745,type,
    sK372: ( 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_746,type,
    sK373: 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_747,type,
    sK374: 'ZF_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_748,type,
    sK375: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF$' ).

tff(func_def_749,type,
    sK376: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF$' ).

tff(func_def_750,type,
    sK377: ( '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_751,type,
    sK378: ( '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_752,type,
    sK379: 'ZF_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_753,type,
    sK380: 'ZF_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_754,type,
    sK381: ( 'ZF_set_ZF_set_IType$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_755,type,
    sK382: ( 'ZF_set_ZF_set_IType$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_756,type,
    sK383: ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_757,type,
    sK384: ( 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_758,type,
    sK385: ( 'ZF_ZF_Language_set$' * 'ZF_set_set$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_759,type,
    sK386: ( 'ZF_unit_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_760,type,
    sK387: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_761,type,
    sK388: ( 'ZF_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_762,type,
    sK389: ( 'ZF_ZF_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_763,type,
    sK390: ( 'ZF_bool_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_764,type,
    sK391: 'ZF_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_765,type,
    sK392: 'ZF_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_766,type,
    sK393: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_767,type,
    sK394: ( 'ZF_ZF_Language_ZF_IType$' * 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_768,type,
    sK395: ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF$' ).

tff(func_def_769,type,
    sK396: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_770,type,
    sK397: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_771,type,
    sK398: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_772,type,
    sK399: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' ) > 'ZF_set$' ).

tff(func_def_773,type,
    sK400: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_774,type,
    sK401: ( 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_775,type,
    sK402: ( 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_776,type,
    sK403: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_777,type,
    sK404: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_778,type,
    sK405: ( 'ZF_ZF_ZF_Language_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' ) > 'ZF$' ).

tff(func_def_779,type,
    sK406: ( 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_Expression_bool_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_780,type,
    sK407: ( 'ZF_ZF_ZF_Expression_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_781,type,
    sK408: ( 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_fun$' ) > 'ZF_set$' ).

tff(func_def_782,type,
    sK409: 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_783,type,
    sK410: 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_784,type,
    sK411: ( 'ZF_set_unit_set_fun$' * 'ZF_set_unit_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_785,type,
    sK412: ( 'ZF_set_set$' * 'ZF_set_unit_set_fun$' ) > 'ZF_set$' ).

tff(func_def_786,type,
    sK413: ( 'ZF_set_unit_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_787,type,
    sK414: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF$' ).

tff(func_def_788,type,
    sK415: ( 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_789,type,
    sK416: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_790,type,
    sK417: ( 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_791,type,
    sK418: ( 'ZF_set_set$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set_ZF_fun$' ).

tff(func_def_792,type,
    sK419: ( 'ZF_set_set$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_793,type,
    sK420: ( 'ZF_set_set$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_794,type,
    sK421: ( 'ZF_set_set$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_795,type,
    sK422: ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_796,type,
    sK423: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_set_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_797,type,
    sK424: ( 'ZF_set$' * 'ZF_ZF_set_fun$' * 'ZF_ZF_set_set_fun$' ) > 'ZF$' ).

tff(func_def_798,type,
    sK425: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_799,type,
    sK426: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_800,type,
    sK427: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_801,type,
    sK428: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_802,type,
    sK429: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_803,type,
    sK430: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_804,type,
    sK431: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_805,type,
    sK432: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_806,type,
    sK433: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_807,type,
    sK434: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_808,type,
    sK435: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_809,type,
    sK436: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_810,type,
    sK437: 'ZF_ZF_unit_Category_ext$' > 'ZF$' ).

tff(func_def_811,type,
    sK438: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_812,type,
    sK439: ( 'ZF_set_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_813,type,
    sK440: ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_814,type,
    sK441: ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_ZF_unit_TermEquivClT_ext_fun$' ).

tff(func_def_815,type,
    sK442: ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_816,type,
    sK443: ( 'ZF_ZF_unit_TermEquivClT_ext_ZF_fun$' * 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF_ZF_unit_TermEquivClT_ext$' ).

tff(func_def_817,type,
    sK444: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_818,type,
    sK445: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_819,type,
    sK446: ( 'ZF_set_set$' * 'ZF_set_ZF_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_820,type,
    sK447: ( 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set_ZF_set_fun$' ).

tff(func_def_821,type,
    sK448: ( 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set$' ).

tff(func_def_822,type,
    sK449: ( 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set$' ).

tff(func_def_823,type,
    sK450: ( 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' ) > 'ZF_set$' ).

tff(func_def_824,type,
    sK451: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_825,type,
    sK452: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_826,type,
    sK453: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression_ZF_fun$' ).

tff(func_def_827,type,
    sK454: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_828,type,
    sK455: ( 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set$' ).

tff(func_def_829,type,
    sK456: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_ZF_ZF_Language_fun$' ) > 'ZF$' ).

tff(func_def_830,type,
    sK457: ( '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,
    sK458: ( 'ZF_ZF_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_832,type,
    sK459: ( 'ZF_ZF_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_833,type,
    sK460: ( 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_834,type,
    sK461: ( 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_835,type,
    sK462: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_836,type,
    sK463: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_837,type,
    sK464: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_838,type,
    sK465: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_839,type,
    sK466: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_840,type,
    sK467: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_841,type,
    sK468: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_842,type,
    sK469: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Language$' ).

tff(func_def_843,type,
    sK470: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_844,type,
    sK471: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_845,type,
    sK472: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_846,type,
    sK473: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_847,type,
    sK474: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_848,type,
    sK475: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_849,type,
    sK476: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_850,type,
    sK477: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_851,type,
    sK478: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_852,type,
    sK479: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_853,type,
    sK480: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_854,type,
    sK481: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_855,type,
    sK482: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_856,type,
    sK483: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_857,type,
    sK484: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_858,type,
    sK485: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_859,type,
    sK486: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_860,type,
    sK487: ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_861,type,
    sK488: ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_862,type,
    sK489: ( 'ZF_ZF_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' * 'ZF_ZF_fun_ZF_ZF_fun_fun$' ) > 'ZF_ZF_fun$' ).

tff(func_def_863,type,
    sK490: ( 'ZF_ZF_ZF_Language_fun$' * 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_864,type,
    sK491: ( 'ZF_ZF_Expression_ZF_set_set_fun$' * 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_865,type,
    sK492: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_unit_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_866,type,
    sK493: ( '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_867,type,
    sK494: ( '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_868,type,
    sK495: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_869,type,
    sK496: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_870,type,
    sK497: ( 'ZF_ZF_Language_ZF_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_871,type,
    sK498: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_872,type,
    sK499: ( 'ZF_ZF_Language_ZF_set_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_873,type,
    sK500: ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF_ZF_ZF_Expression_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_874,type,
    sK501: ( 'ZF_ZF_IType$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF$' ).

tff(func_def_875,type,
    sK502: ( 'ZF_ZF_IType$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_876,type,
    sK503: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_877,type,
    sK504: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_878,type,
    sK505: ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_879,type,
    sK506: ( 'ZF_ZF_ZF_Language_fun$' * 'ZF_ZF_ZF_Language_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_880,type,
    sK507: ( 'ZF_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_ZF_Expression_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_881,type,
    sK508: ( 'ZF_set$' * 'ZF_ZF_ZF_Language_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF$' ).

tff(func_def_882,type,
    sK509: ( 'ZF_set_ZF_set_set_fun$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_883,type,
    sK510: ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_884,type,
    sK511: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_885,type,
    sK512: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_886,type,
    sK513: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_887,type,
    sK514: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_888,type,
    sK515: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_889,type,
    sK516: 'ZF_ZF_unit_Category_ext$' > 'Unit$' ).

tff(func_def_890,type,
    sK517: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_891,type,
    sK518: ( 'ZF_set_ZF_IType$' * 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_892,type,
    sK519: ( 'ZF_set_bool_fun$' * 'ZF_set_ZF_IType$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_893,type,
    sK520: ( 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_fun$' ) > 'ZF_set$' ).

tff(func_def_894,type,
    sK521: ( 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_895,type,
    sK522: ( 'ZF_set$' * 'ZF_ZF_set_set_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_896,type,
    sK523: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_897,type,
    sK524: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_898,type,
    sK525: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_899,type,
    sK526: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_900,type,
    sK527: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_901,type,
    sK528: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_902,type,
    sK529: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_903,type,
    sK530: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_904,type,
    sK531: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_905,type,
    sK532: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_906,type,
    sK533: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_907,type,
    sK534: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_908,type,
    sK535: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_909,type,
    sK536: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF_ZF_unit_Signature_ext$' ).

tff(func_def_910,type,
    sK537: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > 'ZF$' ).

tff(func_def_911,type,
    sK538: ( 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_912,type,
    sK539: ( 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_913,type,
    sK540: ( 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_914,type,
    sK541: ( 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_915,type,
    sK542: ( 'ZF_ZF_fun$' * 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_916,type,
    sK543: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_917,type,
    sK544: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_918,type,
    sK545: ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_set_set_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_919,type,
    sK546: ( 'ZF_set_set$' * 'ZF_set_ZF_set_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_920,type,
    sK547: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_921,type,
    sK548: ( 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set$' ).

tff(func_def_922,type,
    sK549: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_923,type,
    sK550: 'ZF_ZF_unit_Category_ext$' > 'ZF_set$' ).

tff(func_def_924,type,
    sK551: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_ZF_fun_fun$' ).

tff(func_def_925,type,
    sK552: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_926,type,
    sK553: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_927,type,
    sK554: 'ZF_ZF_unit_Category_ext$' > 'ZF_ZF_fun$' ).

tff(func_def_928,type,
    sK555: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_929,type,
    sK556: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_930,type,
    sK557: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_931,type,
    sK558: ( 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_932,type,
    sK559: ( 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_933,type,
    sK560: ( 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_934,type,
    sK561: 'ZF_set_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_935,type,
    sK562: 'ZF_set_ZF_set_unit_Signature_ext$' > 'ZF_set$' ).

tff(func_def_936,type,
    sK563: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_937,type,
    sK564: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_938,type,
    sK565: ( 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_939,type,
    sK566: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_940,type,
    sK567: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_941,type,
    sK568: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_942,type,
    sK569: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_943,type,
    sK570: ( 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_set$' ) > 'ZF_ZF_Language$' ).

tff(func_def_944,type,
    sK571: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_945,type,
    sK572: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_946,type,
    sK573: ( 'ZF_ZF_set_IType$' * 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_947,type,
    sK574: ( 'ZF_bool_fun$' * 'ZF_ZF_set_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_948,type,
    sK575: ( 'ZF_set_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_949,type,
    sK576: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' ) > 'ZF_ZF_Language$' ).

tff(func_def_950,type,
    sK577: ( 'ZF_ZF_Expression_ZF_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Expression_fun$' ) > 'ZF$' ).

tff(func_def_951,type,
    sK578: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_fun$' * 'ZF_ZF_ZF_Expression_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_952,type,
    sK579: ( 'ZF_ZF_set_IType$' * 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_953,type,
    sK580: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_954,type,
    sK581: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Language$' ).

tff(func_def_955,type,
    sK582: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_956,type,
    sK583: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_957,type,
    sK584: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_958,type,
    sK585: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_959,type,
    sK586: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_960,type,
    sK587: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_961,type,
    sK588: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_962,type,
    sK589: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_963,type,
    sK590: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_964,type,
    sK591: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_965,type,
    sK592: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_966,type,
    sK593: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_967,type,
    sK594: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_968,type,
    sK595: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_969,type,
    sK596: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_970,type,
    sK597: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_971,type,
    sK598: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_972,type,
    sK599: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_973,type,
    sK600: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_974,type,
    sK601: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_975,type,
    sK602: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_976,type,
    sK603: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_977,type,
    sK604: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_978,type,
    sK605: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > 'ZF$' ).

tff(func_def_979,type,
    sK606: ( 'ZF_ZF_Expression_ZF_set_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_980,type,
    sK607: 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_981,type,
    sK608: 'ZF_ZF_Expression_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_982,type,
    sK609: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF$' ).

tff(func_def_983,type,
    sK610: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_984,type,
    sK611: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF_ZF_ZF_Expression_fun$' ).

tff(func_def_985,type,
    sK612: ( 'ZF_set$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF$' ).

tff(func_def_986,type,
    sK613: ( 'ZF_ZF_Language_ZF_set_IType$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_987,type,
    sK614: ( 'ZF_ZF_Language_ZF_set_IType$' * 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_988,type,
    sK615: ( 'ZF_ZF_set_set_fun$' * 'ZF_set$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_989,type,
    sK616: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' * 'ZF_ZF_Expression_ZF_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_990,type,
    sK617: ( 'ZF_unit_fun$' * 'ZF_set$' * 'ZF_unit_set_fun$' ) > 'ZF$' ).

tff(func_def_991,type,
    sK618: ( 'ZF_ZF_Language_ZF_set_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_992,type,
    sK619: ( 'ZF_set_ZF_fun$' * 'ZF_set_set$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_993,type,
    sK620: ( 'ZF_set$' * 'ZF_set$' * 'ZF_ZF_fun$' ) > 'ZF$' ).

tff(func_def_994,type,
    sK621: ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF_set$' * 'ZF_ZF_ZF_Expression_set_fun$' ) > 'ZF$' ).

tff(func_def_995,type,
    sK622: ( 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_996,type,
    sK623: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_997,type,
    sK624: ( 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_set$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_998,type,
    sK625: ( 'ZF_set$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_999,type,
    sK626: 'ZF_set_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_1000,type,
    sK627: 'ZF_set_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_1001,type,
    sK628: ( 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1002,type,
    sK629: ( 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1003,type,
    sK630: ( 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1004,type,
    sK631: ( 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1005,type,
    sK632: ( 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_set_ZF_ZF_Expression_set_fun$' ) > 'ZF_ZF_Expression_set$' ).

tff(func_def_1006,type,
    sK633: ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF_ZF_ZF_Expression_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_1007,type,
    sK634: ( 'ZF_ZF_Expression_ZF_set_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_1008,type,
    sK635: ( 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_ZF_set_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_1009,type,
    sK636: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF$' ).

tff(func_def_1010,type,
    sK637: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_Expression_bool_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_1011,type,
    sK638: ( 'ZF_set_set$' * 'ZF_set_ZF_fun$' * 'ZF_set_ZF_set_fun$' ) > 'ZF_set$' ).

tff(func_def_1012,type,
    sK639: ( 'ZF_unit_set_fun$' * 'ZF_unit_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_1013,type,
    sK640: ( 'ZF_unit_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_1014,type,
    sK641: ( 'ZF_unit_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_1015,type,
    sK642: 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_1016,type,
    sK643: 'ZF_set_ZF_ZF_Expression_unit_Signature_ext$' > 'ZF_ZF_Expression$' ).

tff(func_def_1017,type,
    sK644: ( 'ZF$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_1018,type,
    sK645: ( 'ZF$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_1019,type,
    sK646: ( 'ZF$' * 'ZF_ZF_unit_Axioms_ext$' ) > 'ZF$' ).

tff(func_def_1020,type,
    sK647: ( 'ZF_set_ZF_IType$' * 'ZF_set_bool_fun$' ) > 'ZF_set$' ).

tff(func_def_1021,type,
    sK648: ( 'ZF_set_ZF_IType$' * 'ZF_bool_fun$' ) > 'ZF$' ).

tff(func_def_1022,type,
    sK649: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF$' ).

tff(func_def_1023,type,
    sK650: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > 'ZF$' ).

tff(func_def_1024,type,
    sK651: ( 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_1025,type,
    sK652: ( 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' ) > 'ZF_ZF_Expression$' ).

tff(func_def_1026,type,
    sK653: ( 'ZF_ZF_unit_Category_ext$' * 'ZF$' ) > 'ZF$' ).

tff(func_def_1027,type,
    sK654: ( 'ZF_ZF_Expression$' * 'ZF_ZF_unit_Signature_ext$' ) > 'Nat$' ).

tff(func_def_1028,type,
    sK655: ( 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_set_fun$' ) > 'ZF$' ).

tff(func_def_1029,type,
    sK656: ( 'ZF_ZF_fun$' * 'ZF_ZF_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_1030,type,
    sK657: ( 'ZF_ZF_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_1031,type,
    sK658: ( 'ZF_unit_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_1032,type,
    sK659: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF_set$' ).

tff(func_def_1033,type,
    sK660: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > 'ZF$' ).

tff(func_def_1034,type,
    sK661: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_1035,type,
    sK662: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_1036,type,
    sK663: 'ZF_set_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_1037,type,
    sK664: 'ZF_set_ZF_unit_Signature_ext$' > 'ZF$' ).

tff(func_def_1038,type,
    sK665: ( 'ZF$' * 'ZF$' * 'ZF_ZF_unit_Category_ext$' ) > 'ZF$' ).

tff(func_def_1039,type,
    sK666: ( 'ZF_ZF_set_IType$' * 'ZF_ZF_bool_fun_fun$' ) > 'ZF$' ).

tff(func_def_1040,type,
    sK667: ( 'ZF_ZF_set_IType$' * 'ZF_set_ZF_set_bool_fun_fun$' ) > 'ZF_set$' ).

tff(func_def_1041,type,
    sK668: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_1042,type,
    sK669: 'Unit_unit_unit_Category_ext$' > 'Unit$' ).

tff(func_def_1043,type,
    sK670: 'Unit_unit_unit_Category_ext$' > 'Unit_set$' ).

tff(func_def_1044,type,
    sK671: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_1045,type,
    sK672: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_unit_fun_fun$' ).

tff(func_def_1046,type,
    sK673: 'Unit_unit_unit_Category_ext$' > 'Unit_set$' ).

tff(func_def_1047,type,
    sK674: 'Unit_unit_unit_Category_ext$' > 'Unit_unit_fun$' ).

tff(func_def_1048,type,
    sK675: 'ZF_ZF_Language$' > 'ZF$' ).

tff(func_def_1049,type,
    sK676: 'ZF_ZF_Language$' > 'ZF_ZF_Expression$' ).

tff(func_def_1050,type,
    sK677: 'ZF_ZF_Language$' > 'ZF$' ).

tff(func_def_1051,type,
    sK678: 'ZF_ZF_Language$' > 'ZF_ZF_Expression$' ).

tff(func_def_1052,type,
    sK679: 'ZF_ZF_Language$' > 'ZF$' ).

tff(func_def_1053,type,
    sK680: 'ZF_ZF_Language$' > 'ZF$' ).

tff(func_def_1054,type,
    sK681: 'ZF_ZF_Language$' > 'ZF_ZF_Expression$' ).

tff(func_def_1055,type,
    sK682: 'ZF_ZF_Language$' > 'ZF$' ).

tff(func_def_1056,type,
    sK683: ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_1057,type,
    sK684: ( 'ZF_ZF_ZF_Expression_fun$' * 'ZF_ZF_ZF_Expression_set_fun$' * 'ZF_set$' ) > 'ZF$' ).

tff(func_def_1058,type,
    sK685: ( 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_set_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_1059,type,
    sK686: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_1060,type,
    sK687: ( 'ZF_set_ZF_set_set_fun$' * 'ZF_set_ZF_set_fun$' * 'ZF_set_set$' ) > 'ZF_set$' ).

tff(func_def_1061,type,
    sK688: ( 'ZF_set_ZF_set_fun$' * 'ZF_set_ZF_set_fun$' * 'ZF_set$' ) > 'ZF_set$' ).

tff(func_def_1062,type,
    sK689: ( 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_ZF_set_fun$' * 'ZF_ZF_Language_ZF_fun$' ) > 'ZF_ZF_Language$' ).

tff(func_def_1063,type,
    sK690: ( 'ZF_ZF_set_IType$' * 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_1064,type,
    sK691: ( 'ZF_ZF_set_IType$' * 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_IType$' ) > 'ZF_set$' ).

tff(func_def_1065,type,
    sK692: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > 'ZF$' ).

tff(func_def_1066,type,
    sK693: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_IType$' ) > '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_IType$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' * 'ZF_ZF_ZF_Expression_bool_fun_fun$' ) > $o ).

tff(pred_def_106,type,
    sP1: ( 'ZF_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' * 'ZF_bool_fun$' ) > $o ).

tff(pred_def_107,type,
    sP2: ( 'ZF_set_ZF_IType$' * 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > $o ).

tff(pred_def_108,type,
    sP3: ( 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_109,type,
    sP4: ( 'ZF_ZF_IType$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > $o ).

tff(pred_def_110,type,
    sP5: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_ZF_Language_IType$' ) > $o ).

tff(pred_def_111,type,
    sP6: ( 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_Language_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Language_IType$' ) > $o ).

tff(pred_def_112,type,
    sP7: ( 'ZF_bool_fun$' * 'ZF_ZF_IType$' * 'ZF_bool_fun$' ) > $o ).

tff(pred_def_113,type,
    sP8: ( 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > $o ).

tff(pred_def_114,type,
    sP9: ( 'ZF_set_ZF_set_IType$' * 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > $o ).

tff(pred_def_115,type,
    sP10: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_set_IType$' ) > $o ).

tff(pred_def_116,type,
    sP11: ( 'ZF_ZF_Expression_ZF_set_IType$' * 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > $o ).

tff(pred_def_117,type,
    sP12: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_118,type,
    sP13: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > $o ).

tff(pred_def_119,type,
    sP14: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_120,type,
    sP15: ( 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_bool_fun$' * 'ZF_ZF_Expression_ZF_IType$' ) > $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_set$' * 'ZF_unit_set_fun$' * 'ZF_unit_set_fun$' ) > $o ).

tff(pred_def_127,type,
    sP22: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_128,type,
    sP23: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > $o ).

tff(pred_def_129,type,
    sP24: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_130,type,
    sP25: ( 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(pred_def_131,type,
    sP26: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_bool_fun_fun$' ) > $o ).

tff(pred_def_132,type,
    sP27: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > $o ).

tff(pred_def_133,type,
    sP28: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_134,type,
    sP29: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_135,type,
    sP30: ( 'ZF_ZF_ZF_Expression_IType$' * 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > $o ).

tff(pred_def_136,type,
    sP31: ( 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > $o ).

tff(pred_def_137,type,
    sP32: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > $o ).

tff(pred_def_138,type,
    sP33: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' ) > $o ).

tff(pred_def_139,type,
    sP34: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_IType$' ) > $o ).

tff(pred_def_140,type,
    sP35: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' ) > $o ).

tff(pred_def_141,type,
    sP36: ( 'ZF_ZF_IType$' * 'ZF_ZF_set_IType$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' ) > $o ).

tff(pred_def_142,type,
    sP37: ( 'ZF_set_unit_set_fun$' * 'ZF_set_unit_set_fun$' * 'ZF_set_set$' ) > $o ).

tff(pred_def_143,type,
    sP38: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_144,type,
    sP39: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_145,type,
    sP40: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_146,type,
    sP41: 'ZF_ZF_unit_Category_ext$' > $o ).

tff(pred_def_147,type,
    sP42: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' ) > $o ).

tff(pred_def_148,type,
    sP43: ( 'ZF_ZF_IType$' * 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > $o ).

tff(pred_def_149,type,
    sP44: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > $o ).

tff(pred_def_150,type,
    sP45: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_151,type,
    sP46: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_152,type,
    sP47: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > $o ).

tff(pred_def_153,type,
    sP48: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > $o ).

tff(pred_def_154,type,
    sP49: ( '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_155,type,
    sP50: ( 'ZF_ZF_IType$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_Expression_ZF_bool_fun_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > $o ).

tff(pred_def_156,type,
    sP51: ( 'ZF_set_ZF_IType$' * 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > $o ).

tff(pred_def_157,type,
    sP52: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > $o ).

tff(pred_def_158,type,
    sP53: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Signature_ext$' ) > $o ).

tff(pred_def_159,type,
    sP54: ( 'ZF_ZF_unit_Signature_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_160,type,
    sP55: ( 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > $o ).

tff(pred_def_161,type,
    sP56: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_162,type,
    sP57: ( 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_ZF_set_IType$' ) > $o ).

tff(pred_def_163,type,
    sP58: ( 'ZF_ZF_Language_unit_set_fun$' * 'ZF_ZF_Language_set$' * 'ZF_ZF_Language_unit_set_fun$' ) > $o ).

tff(pred_def_164,type,
    sP59: ( 'ZF_ZF_ZF_Language_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_165,type,
    sP60: ( 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' * 'ZF_set_ZF_set_IType$' ) > $o ).

tff(pred_def_166,type,
    sP61: ( 'ZF_ZF_set_IType$' * 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > $o ).

tff(pred_def_167,type,
    sP62: ( 'ZF_ZF_set_IType$' * 'ZF_set_bool_fun$' * 'ZF_set_bool_fun$' ) > $o ).

tff(pred_def_168,type,
    sP63: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_169,type,
    sP64: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > $o ).

tff(pred_def_170,type,
    sP65: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_171,type,
    sP66: ( 'ZF_ZF_Language$' * 'ZF_ZF_unit_Axioms_ext$' ) > $o ).

tff(pred_def_172,type,
    sP67: ( 'ZF_ZF_unit_Axioms_ext$' * 'ZF_ZF_Language$' ) > $o ).

tff(pred_def_173,type,
    sP68: ( 'ZF_ZF_Language_ZF_set_IType$' * 'ZF_ZF_Language_bool_fun$' * 'ZF_ZF_Language_bool_fun$' ) > $o ).

tff(pred_def_174,type,
    sP69: ( 'ZF_ZF_Expression_unit_set_fun$' * 'ZF_ZF_Expression_set$' * 'ZF_ZF_Expression_unit_set_fun$' ) > $o ).

tff(pred_def_175,type,
    sP70: ( 'ZF_ZF_IType$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_176,type,
    sP71: ( 'ZF_bool_fun$' * 'ZF_bool_fun$' * 'ZF_ZF_ZF_Expression_IType$' ) > $o ).

tff(pred_def_177,type,
    sP72: ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_IType$' * 'ZF_ZF_ZF_Expression_IType$' ) > $o ).

tff(pred_def_178,type,
    sP73: ( 'ZF_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_IType$' * 'ZF_ZF_IType$' ) > $o ).

tff(pred_def_179,type,
    sP74: ( 'ZF_ZF_set_IType$' * 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_set_ZF_set_bool_fun_fun$' * 'ZF_ZF_set_IType$' ) > $o ).

tff(f47,conjecture,
    'fun_app$'('dom$'('canonicalCat$'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')) = 'a$',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture46) ).

tff(f48,negated_conjecture,
    ( ( ~ 'fun_app$'('dom$'('canonicalCat$'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')) ) = 'a$' ),
    inference(negated_conjecture,[status(cth)],[f47]) ).

tff(f49,axiom,
    'zFAxioms$'('t$'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis47) ).

tff(f50,axiom,
    'fun_app$g'('fun_app$h'('member$c','fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),'mor$'('canonicalCat$'('t$'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis48) ).

tff(f51,axiom,
    ! [X1: 'ZF$',X0: 'ZF_ZF_unit_Axioms_ext$',X3: 'ZF$',X2: 'ZF_ZF_Expression$'] :
      ( 'zFAxioms$'(X0)
     => ( 'fun_app$'('cLDomain$'(X0),'fun_app$'('termEquivCl$'(X0,X1,X2),X3)) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom49) ).

tff(f56,axiom,
    ! [X1: 'ZF_ZF_unit_Category_ext$',X0: 'ZF$'] :
      ( '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/sandbox2/benchmark/theBenchmark.p',axiom54) ).

tff(f59,axiom,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$'(X0) = 'fun_app$al'('makeCat$a','canonicalCat$a'(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom57) ).

tff(f69,axiom,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] : ( 'mor$'('fun_app$al'('makeCat$a',X0)) = 'mor$'(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom67) ).

tff(f206,axiom,
    ! [X4: 'ZF_ZF_fun$',X2: 'ZF_ZF_fun$',X0: 'ZF_set$',X3: 'ZF_ZF_fun$',X1: 'ZF_set$',X6: 'Unit$',X5: 'ZF_ZF_ZF_fun_fun$'] : ( 'dom$'('category_ext$'(X0,X1,X2,X3,X4,X5,X6)) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom204) ).

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/sandbox2/benchmark/theBenchmark.p',axiom261) ).

tff(f274,axiom,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'zF2m$'(X0) = 'inv_into$'('collect$e'('uuq$'(X0)),'m2ZF$') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom272) ).

tff(f374,axiom,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLCodomain$'(X0) = 'comp$b'('tCodomain$','zF2m$'(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom372) ).

tff(f378,axiom,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLDomain$'(X0) = 'comp$b'('tDomain$','zF2m$'(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom376) ).

tff(f849,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$',X1: 'ZF$'] :
      ( 'fun_app$g'('fun_app$h'('member$c',X1),'mor$'(X0))
     => ( 'fun_app$'('dom$'(X0),X1) = 'fun_app$'('dom$'('fun_app$al'('makeCat$a',X0)),X1) ) ),
    inference(rectify,[],[f56]) ).

tff(f904,plain,
    ! [X4: 'ZF_set$',X3: 'ZF_ZF_fun$',X1: 'ZF_ZF_fun$',X0: 'ZF_ZF_fun$',X6: 'ZF_ZF_ZF_fun_fun$',X5: 'Unit$',X2: 'ZF_set$'] : ( 'dom$'('category_ext$'(X2,X4,X1,X3,X0,X6,X5)) = X1 ),
    inference(rectify,[],[f206]) ).

tff(f977,plain,
    ! [X0: 'ZF$',X1: 'ZF_ZF_unit_Axioms_ext$',X2: 'ZF$',X3: 'ZF_ZF_Expression$'] :
      ( 'zFAxioms$'(X1)
     => ( 'fun_app$'('cLDomain$'(X1),'fun_app$'('termEquivCl$'(X1,X0,X3),X2)) = X0 ) ),
    inference(rectify,[],[f51]) ).

tff(f1024,plain,
    'a$' != 'fun_app$'('dom$'('canonicalCat$'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),
    inference(flattening,[],[f48]) ).

tff(f1367,plain,
    ! [X0: 'ZF$',X3: 'ZF_ZF_Expression$',X1: 'ZF_ZF_unit_Axioms_ext$',X2: 'ZF$'] :
      ( ~ 'zFAxioms$'(X1)
      | ( 'fun_app$'('cLDomain$'(X1),'fun_app$'('termEquivCl$'(X1,X0,X3),X2)) = X0 ) ),
    inference(ennf_transformation,[],[f977]) ).

tff(f1937,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$',X1: 'ZF$'] :
      ( ~ 'fun_app$g'('fun_app$h'('member$c',X1),'mor$'(X0))
      | ( 'fun_app$'('dom$'(X0),X1) = 'fun_app$'('dom$'('fun_app$al'('makeCat$a',X0)),X1) ) ),
    inference(ennf_transformation,[],[f849]) ).

tff(f3042,plain,
    ! [X0: 'ZF_set$',X1: 'ZF_ZF_fun$',X2: 'ZF_ZF_fun$',X3: 'ZF_ZF_fun$',X4: 'ZF_ZF_ZF_fun_fun$',X5: 'Unit$',X6: 'ZF_set$'] : ( 'dom$'('category_ext$'(X6,X0,X2,X1,X3,X4,X5)) = X2 ),
    inference(rectify,[],[f904]) ).

tff(f3093,plain,
    ! [X0: 'ZF$',X1: 'ZF_ZF_Expression$',X2: 'ZF_ZF_unit_Axioms_ext$',X3: 'ZF$'] :
      ( ~ 'zFAxioms$'(X2)
      | ( 'fun_app$'('cLDomain$'(X2),'fun_app$'('termEquivCl$'(X2,X0,X1),X3)) = X0 ) ),
    inference(rectify,[],[f1367]) ).

tff(f3344,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$'] : ( 'mor$'('fun_app$al'('makeCat$a',X0)) = 'mor$'(X0) ),
    inference(cnf_transformation,[],[f69]) ).

tff(f3408,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'zF2m$'(X0) = 'inv_into$'('collect$e'('uuq$'(X0)),'m2ZF$') ),
    inference(cnf_transformation,[],[f274]) ).

tff(f3561,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLCodomain$'(X0) = 'comp$b'('tCodomain$','zF2m$'(X0)) ),
    inference(cnf_transformation,[],[f374]) ).

tff(f3616,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLDomain$'(X0) = 'comp$b'('tDomain$','zF2m$'(X0)) ),
    inference(cnf_transformation,[],[f378]) ).

tff(f3674,plain,
    'fun_app$g'('fun_app$h'('member$c','fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),'mor$'('canonicalCat$'('t$'))),
    inference(cnf_transformation,[],[f50]) ).

tff(f4143,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$'(X0) = 'fun_app$al'('makeCat$a','canonicalCat$a'(X0)) ),
    inference(cnf_transformation,[],[f59]) ).

tff(f4158,plain,
    'zFAxioms$'('t$'),
    inference(cnf_transformation,[],[f49]) ).

tff(f4671,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(f4752,plain,
    ! [X2: 'ZF_ZF_fun$',X3: 'ZF_ZF_fun$',X0: 'ZF_set$',X1: 'ZF_ZF_fun$',X6: 'ZF_set$',X4: 'ZF_ZF_ZF_fun_fun$',X5: 'Unit$'] : ( 'dom$'('category_ext$'(X6,X0,X2,X1,X3,X4,X5)) = X2 ),
    inference(cnf_transformation,[],[f3042]) ).

tff(f4815,plain,
    ! [X2: 'ZF_ZF_unit_Axioms_ext$',X3: 'ZF$',X0: 'ZF$',X1: 'ZF_ZF_Expression$'] :
      ( ~ 'zFAxioms$'(X2)
      | ( 'fun_app$'('cLDomain$'(X2),'fun_app$'('termEquivCl$'(X2,X0,X1),X3)) = X0 ) ),
    inference(cnf_transformation,[],[f3093]) ).

tff(f4954,plain,
    'a$' != 'fun_app$'('dom$'('canonicalCat$'('t$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),
    inference(cnf_transformation,[],[f1024]) ).

tff(f5106,plain,
    ! [X0: 'ZF_ZF_unit_Category_ext$',X1: 'ZF$'] :
      ( ( 'fun_app$'('dom$'(X0),X1) = 'fun_app$'('dom$'('fun_app$al'('makeCat$a',X0)),X1) )
      | ~ 'fun_app$g'('fun_app$h'('member$c',X1),'mor$'(X0)) ),
    inference(cnf_transformation,[],[f1937]) ).

tff(f5163,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLDomain$'(X0) = 'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'(X0)),'m2ZF$')) ),
    inference(definition_unfolding,[],[f3616,f3408]) ).

tff(f5164,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLCodomain$'(X0) = 'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'(X0)),'m2ZF$')) ),
    inference(definition_unfolding,[],[f3561,f3408]) ).

tff(f5165,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$a'(X0) = 'category_ext$'('baseTypes$'('aSignature$'(X0)),'collect$d'('uui$'(X0)),'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'(X0)),'m2ZF$')),'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'(X0)),'m2ZF$')),'uuj$'(X0),'canonicalComp$'(X0),'unity$') ),
    inference(definition_unfolding,[],[f4671,f5163,f5164]) ).

tff(f5166,plain,
    ! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$'(X0) = 'fun_app$al'('makeCat$a','category_ext$'('baseTypes$'('aSignature$'(X0)),'collect$d'('uui$'(X0)),'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'(X0)),'m2ZF$')),'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'(X0)),'m2ZF$')),'uuj$'(X0),'canonicalComp$'(X0),'unity$')) ),
    inference(definition_unfolding,[],[f4143,f5165]) ).

tff(f5176,plain,
    'fun_app$g'('fun_app$h'('member$c','fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),'mor$'('fun_app$al'('makeCat$a','category_ext$'('baseTypes$'('aSignature$'('t$')),'collect$d'('uui$'('t$')),'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'uuj$'('t$'),'canonicalComp$'('t$'),'unity$')))),
    inference(definition_unfolding,[],[f3674,f5166]) ).

tff(f5191,plain,
    ! [X2: 'ZF_ZF_unit_Axioms_ext$',X3: 'ZF$',X0: 'ZF$',X1: 'ZF_ZF_Expression$'] :
      ( ( 'fun_app$'('comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'(X2)),'m2ZF$')),'fun_app$'('termEquivCl$'(X2,X0,X1),X3)) = X0 )
      | ~ 'zFAxioms$'(X2) ),
    inference(definition_unfolding,[],[f4815,f5163]) ).

tff(f5192,plain,
    'a$' != 'fun_app$'('dom$'('fun_app$al'('makeCat$a','category_ext$'('baseTypes$'('aSignature$'('t$')),'collect$d'('uui$'('t$')),'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'uuj$'('t$'),'canonicalComp$'('t$'),'unity$'))),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),
    inference(definition_unfolding,[],[f4954,f5166]) ).

tff(f5599,definition,
    ( spl694_2
  <=> 'zFAxioms$'('t$') ),
    introduced(definition,[new_symbols(definition,[spl694_2])],[avatar_definition]) ).

tff(f5602,plain,
    spl694_2,
    inference(avatar_split_clause,[],[f4158,f5599]) ).

tff(f5609,definition,
    ( spl694_4
  <=> 'fun_app$g'('fun_app$h'('member$c','fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),'mor$'('fun_app$al'('makeCat$a','category_ext$'('baseTypes$'('aSignature$'('t$')),'collect$d'('uui$'('t$')),'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'uuj$'('t$'),'canonicalComp$'('t$'),'unity$')))) ),
    introduced(definition,[new_symbols(definition,[spl694_4])],[avatar_definition]) ).

tff(f5611,plain,
    ( 'fun_app$g'('fun_app$h'('member$c','fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),'mor$'('fun_app$al'('makeCat$a','category_ext$'('baseTypes$'('aSignature$'('t$')),'collect$d'('uui$'('t$')),'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'uuj$'('t$'),'canonicalComp$'('t$'),'unity$'))))
    | ~ spl694_4 ),
    inference(avatar_component_clause,[],[f5609]) ).

tff(f5612,plain,
    spl694_4,
    inference(avatar_split_clause,[],[f5176,f5609]) ).

tff(f5631,definition,
    ( spl694_8
  <=> ( 'a$' = 'fun_app$'('dom$'('fun_app$al'('makeCat$a','category_ext$'('baseTypes$'('aSignature$'('t$')),'collect$d'('uui$'('t$')),'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'uuj$'('t$'),'canonicalComp$'('t$'),'unity$'))),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')) ) ),
    introduced(definition,[new_symbols(definition,[spl694_8])],[avatar_definition]) ).

tff(f5633,plain,
    ( ( 'a$' != 'fun_app$'('dom$'('fun_app$al'('makeCat$a','category_ext$'('baseTypes$'('aSignature$'('t$')),'collect$d'('uui$'('t$')),'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'uuj$'('t$'),'canonicalComp$'('t$'),'unity$'))),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')) )
    | spl694_8 ),
    inference(avatar_component_clause,[],[f5631]) ).

tff(f5634,plain,
    ~ spl694_8,
    inference(avatar_split_clause,[],[f5192,f5631]) ).

tff(f5713,plain,
    ( ~ 'fun_app$g'('fun_app$h'('member$c','fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),'mor$'('category_ext$'('baseTypes$'('aSignature$'('t$')),'collect$d'('uui$'('t$')),'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'uuj$'('t$'),'canonicalComp$'('t$'),'unity$')))
    | ( 'a$' != 'fun_app$'('dom$'('category_ext$'('baseTypes$'('aSignature$'('t$')),'collect$d'('uui$'('t$')),'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'uuj$'('t$'),'canonicalComp$'('t$'),'unity$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')) )
    | spl694_8 ),
    inference(superposition,[],[f5633,f5106]) ).

tff(f5717,plain,
    ( ( 'a$' != 'fun_app$'('comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')) )
    | ~ 'fun_app$g'('fun_app$h'('member$c','fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),'mor$'('category_ext$'('baseTypes$'('aSignature$'('t$')),'collect$d'('uui$'('t$')),'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'uuj$'('t$'),'canonicalComp$'('t$'),'unity$')))
    | spl694_8 ),
    inference(forward_demodulation,[],[f5713,f4752]) ).

tff(f5724,definition,
    ( spl694_17
  <=> 'fun_app$g'('fun_app$h'('member$c','fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),'mor$'('category_ext$'('baseTypes$'('aSignature$'('t$')),'collect$d'('uui$'('t$')),'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'uuj$'('t$'),'canonicalComp$'('t$'),'unity$'))) ),
    introduced(definition,[new_symbols(definition,[spl694_17])],[avatar_definition]) ).

tff(f5728,definition,
    ( spl694_18
  <=> ( 'a$' = 'fun_app$'('comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')) ) ),
    introduced(definition,[new_symbols(definition,[spl694_18])],[avatar_definition]) ).

tff(f5730,plain,
    ( ( 'a$' != 'fun_app$'('comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')) )
    | spl694_18 ),
    inference(avatar_component_clause,[],[f5728]) ).

tff(f5731,plain,
    ( ~ spl694_17
    | ~ spl694_18
    | spl694_8 ),
    inference(avatar_split_clause,[],[f5717,f5631,f5728,f5724]) ).

tff(f5752,plain,
    ( ~ 'zFAxioms$'('t$')
    | spl694_18 ),
    inference(unit_resulting_resolution,[],[f5191,f5730]) ).

tff(f5759,plain,
    ( ~ spl694_2
    | spl694_18 ),
    inference(avatar_split_clause,[],[f5752,f5728,f5599]) ).

tff(f6330,plain,
    ( 'fun_app$g'('fun_app$h'('member$c','fun_app$'('termEquivCl$'('t$','a$','e$'),'b$')),'mor$'('category_ext$'('baseTypes$'('aSignature$'('t$')),'collect$d'('uui$'('t$')),'comp$b'('tDomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'comp$b'('tCodomain$','inv_into$'('collect$e'('uuq$'('t$')),'m2ZF$')),'uuj$'('t$'),'canonicalComp$'('t$'),'unity$')))
    | ~ spl694_4 ),
    inference(superposition,[],[f5611,f3344]) ).

tff(f6340,plain,
    ( spl694_17
    | ~ spl694_4 ),
    inference(avatar_split_clause,[],[f6330,f5609,f5724]) ).

tff(f6342,plain,
    $false,
    inference(avatar_smt_refutation,[],[f6340,f5759,f5731,f5634,f5612,f5602]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP298_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40  % Computer : n017.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8046.5625MB
% 0.13/0.40  % OS       : Linux 6.8.0-71-generic
% 0.13/0.40  % CPULimit : 300
% 0.13/0.40  % WCLimit  : 300
% 0.13/0.40  % DateTime : Sun Sep 27 12:48:50 UTC 2026
% 0.13/0.41  % CPUTime  : 
% 0.13/0.41  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.46  Running first-order theorem proving
% 0.13/0.46  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.90/1.83  % (2517644)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.90/1.83  % (2517664)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3421436454:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.90/1.83  % (2517662)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1280980032:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.90/1.83  % (2517662)Instruction limit reached! 
% 4.90/1.83  % (2517662)------------------------------
% 4.90/1.83  % (2517662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.83  % (2517662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.83  % (2517662)CaDiCaL version: 2.1.3
% 4.90/1.83  % (2517662)Termination reason: Instruction limit
% 4.90/1.83  % (2517662)Termination phase: Property scanning
% 4.90/1.83  % (2517662)Time elapsed: 0.008 s
% 4.90/1.83  % (2517662)Peak memory usage: 86 MB
% 4.90/1.83  % (2517662)Instructions burned: 7 (million)
% 4.90/1.83  % (2517664)Instruction limit reached! 
% 4.90/1.83  % (2517664)------------------------------
% 4.90/1.83  % (2517664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.83  % (2517664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.83  % (2517664)CaDiCaL version: 2.1.3
% 4.90/1.83  % (2517664)Termination reason: Instruction limit
% 4.90/1.83  % (2517664)Termination phase: Preprocessing 3
% 4.90/1.83  % (2517664)Time elapsed: 0.028 s
% 4.90/1.83  % (2517664)Peak memory usage: 89 MB
% 4.90/1.83  % (2517664)Instructions burned: 47 (million)
% 4.90/1.83  % (2517665)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3906935717:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.90/1.83  % (2517663)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=393460428:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.90/1.83  % (2517659)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=547479933:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.90/1.83  % (2517660)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1352719394:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.90/1.83  % (2517661)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2824561963:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.90/1.83  % (2517663)Instruction limit reached! 
% 4.90/1.83  % (2517663)------------------------------
% 4.90/1.83  % (2517663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.83  % (2517663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.83  % (2517663)CaDiCaL version: 2.1.3
% 4.90/1.83  % (2517663)Termination reason: Instruction limit
% 4.90/1.83  % (2517663)Termination phase: Property scanning
% 4.90/1.83  % (2517663)Time elapsed: 0.005 s
% 4.90/1.83  % (2517663)Peak memory usage: 86 MB
% 4.90/1.83  % (2517663)Instructions burned: 4 (million)
% 4.90/1.83  % (2517665)Instruction limit reached! 
% 4.90/1.83  % (2517665)------------------------------
% 4.90/1.83  % (2517665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.83  % (2517665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.83  % (2517665)CaDiCaL version: 2.1.3
% 4.90/1.83  % (2517665)Termination reason: Instruction limit
% 4.90/1.83  % (2517665)Termination phase: Preprocessing 1
% 4.90/1.83  % (2517665)Time elapsed: 0.032 s
% 4.90/1.83  % (2517665)Peak memory usage: 87 MB
% 4.90/1.83  % (2517665)Instructions burned: 33 (million)
% 4.90/1.83  % (2517659)Instruction limit reached! 
% 4.90/1.83  % (2517659)------------------------------
% 4.90/1.83  % (2517659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.83  % (2517659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.83  % (2517659)CaDiCaL version: 2.1.3
% 4.90/1.83  % (2517659)Termination reason: Instruction limit
% 4.90/1.83  % (2517659)Termination phase: shuffling
% 4.90/1.83  % (2517659)Time elapsed: 0.012 s
% 4.90/1.83  % (2517659)Peak memory usage: 86 MB
% 4.90/1.83  % (2517659)Instructions burned: 12 (million)
% 4.90/1.83  % (2517678)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3384225220:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 4.90/1.83  % (2517670)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3106725095:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 7.63/2.09  % (2517672)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3500058789:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 7.63/2.09  % (2517678)Instruction limit reached! 
% 7.63/2.09  % (2517678)------------------------------
% 7.63/2.09  % (2517678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.63/2.09  % (2517678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/2.09  % (2517678)CaDiCaL version: 2.1.3
% 7.63/2.09  % (2517678)Termination reason: Instruction limit
% 7.63/2.09  % (2517678)Termination phase: Property scanning
% 7.63/2.09  % (2517678)Time elapsed: 0.013 s
% 7.63/2.09  % (2517678)Peak memory usage: 87 MB
% 7.63/2.09  % (2517678)Instructions burned: 26 (million)
% 7.63/2.09  % (2517670)Instruction limit reached! 
% 7.63/2.09  % (2517670)------------------------------
% 7.63/2.09  % (2517670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.63/2.09  % (2517670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/2.09  % (2517670)CaDiCaL version: 2.1.3
% 7.63/2.09  % (2517670)Termination reason: Instruction limit
% 7.63/2.09  % (2517670)Termination phase: SInE selection
% 7.63/2.09  % (2517670)Time elapsed: 0.017 s
% 7.63/2.09  % (2517670)Peak memory usage: 86 MB
% 7.63/2.09  % (2517670)Instructions burned: 16 (million)
% 7.63/2.09  % (2517661)Instruction limit reached! 
% 7.63/2.09  % (2517661)------------------------------
% 7.63/2.09  % (2517661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.63/2.09  % (2517661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/2.09  % (2517661)CaDiCaL version: 2.1.3
% 7.63/2.09  % (2517661)Termination reason: Instruction limit
% 7.63/2.09  % (2517661)Termination phase: Saturation
% 7.63/2.09  % (2517661)Time elapsed: 0.227 s
% 7.63/2.09  % (2517661)Peak memory usage: 117 MB
% 7.63/2.09  % (2517661)Instructions burned: 204 (million)
% 7.63/2.09  % (2517672)Instruction limit reached! 
% 7.63/2.09  % (2517672)------------------------------
% 7.63/2.09  % (2517672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.63/2.09  % (2517672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/2.09  % (2517672)CaDiCaL version: 2.1.3
% 7.63/2.09  % (2517672)Termination reason: Instruction limit
% 7.63/2.09  % (2517672)Termination phase: Preprocessing 1
% 7.63/2.09  % (2517672)Time elapsed: 0.028 s
% 7.63/2.09  % (2517672)Peak memory usage: 86 MB
% 7.63/2.09  % (2517672)Instructions burned: 29 (million)
% 7.63/2.09  % (2517660)Instruction limit reached! 
% 7.63/2.09  % (2517660)------------------------------
% 7.63/2.09  % (2517660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.63/2.09  % (2517660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/2.09  % (2517660)CaDiCaL version: 2.1.3
% 7.63/2.09  % (2517660)Termination reason: Instruction limit
% 7.63/2.09  % (2517660)Termination phase: Property scanning
% 7.63/2.09  % (2517660)Time elapsed: 0.252 s
% 7.63/2.09  % (2517660)Peak memory usage: 91 MB
% 7.63/2.09  % (2517660)Instructions burned: 308 (million)
% 7.63/2.09  % (2517677)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3643026589:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 7.63/2.09  % (2517679)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=4003021885:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 7.63/2.09  % (2517677)Instruction limit reached! 
% 7.63/2.09  % (2517677)------------------------------
% 7.63/2.09  % (2517677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.63/2.09  % (2517677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/2.09  % (2517677)CaDiCaL version: 2.1.3
% 7.63/2.09  % (2517677)Termination reason: Instruction limit
% 7.63/2.09  % (2517677)Termination phase: Preprocessing 1
% 7.63/2.09  % (2517677)Time elapsed: 0.015 s
% 7.63/2.09  % (2517677)Peak memory usage: 86 MB
% 7.63/2.09  % (2517677)Instructions burned: 16 (million)
% 7.63/2.09  % (2517679)Instruction limit reached! 
% 7.63/2.09  % (2517679)------------------------------
% 7.63/2.09  % (2517679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.63/2.09  % (2517679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.32  % (2517679)CaDiCaL version: 2.1.3
% 8.75/2.32  % (2517679)Termination reason: Instruction limit
% 8.75/2.32  % (2517679)Termination phase: Preprocessing 1
% 8.75/2.32  % (2517679)Time elapsed: 0.027 s
% 8.75/2.32  % (2517679)Peak memory usage: 87 MB
% 8.75/2.32  % (2517679)Instructions burned: 27 (million)
% 8.75/2.32  % (2517683)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3887724672:i=85:gtgl=4:rtra=on:gtg=exists_sym_2994 on theBenchmark for (2994ds/85Mi)
% 8.75/2.32  % (2517685)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2338434394:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 8.75/2.32  % (2517683)Instruction limit reached! 
% 8.75/2.32  % (2517683)------------------------------
% 8.75/2.32  % (2517683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.32  % (2517683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.32  % (2517683)CaDiCaL version: 2.1.3
% 8.75/2.32  % (2517683)Termination reason: Instruction limit
% 8.75/2.32  % (2517683)Termination phase: Preprocessing 3
% 8.75/2.32  % (2517683)Time elapsed: 0.044 s
% 8.75/2.32  % (2517683)Peak memory usage: 89 MB
% 8.75/2.32  % (2517683)Instructions burned: 85 (million)
% 8.75/2.32  % (2517684)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1717344658:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2994 on theBenchmark for (2994ds/2Mi)
% 8.75/2.32  % (2517684)Instruction limit reached! 
% 8.75/2.32  % (2517684)------------------------------
% 8.75/2.32  % (2517684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.32  % (2517684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.32  % (2517684)CaDiCaL version: 2.1.3
% 8.75/2.32  % (2517684)Termination reason: Instruction limit
% 8.75/2.32  % (2517684)Termination phase: shuffling
% 8.75/2.32  % (2517684)Time elapsed: 0.004 s
% 8.75/2.32  % (2517684)Peak memory usage: 86 MB
% 8.75/2.32  % (2517684)Instructions burned: 3 (million)
% 8.75/2.32  % (2517686)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=440774376:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 8.75/2.32  % (2517686)Instruction limit reached! 
% 8.75/2.32  % (2517686)------------------------------
% 8.75/2.32  % (2517686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.32  % (2517686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.32  % (2517686)CaDiCaL version: 2.1.3
% 8.75/2.32  % (2517686)Termination reason: Instruction limit
% 8.75/2.32  % (2517686)Termination phase: Property scanning
% 8.75/2.32  % (2517686)Time elapsed: 0.008 s
% 8.75/2.32  % (2517686)Peak memory usage: 86 MB
% 8.75/2.32  % (2517686)Instructions burned: 7 (million)
% 8.75/2.32  % (2517687)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1519288392:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 8.75/2.32  % (2517694)lrs+10_1_thi=all:si=on:fd=off:random_seed=4221598253:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 8.75/2.32  % (2517685)Instruction limit reached! 
% 8.75/2.32  % (2517685)------------------------------
% 8.75/2.32  % (2517685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.32  % (2517685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.32  % (2517685)CaDiCaL version: 2.1.3
% 8.75/2.32  % (2517685)Termination reason: Instruction limit
% 8.75/2.32  % (2517685)Termination phase: Saturation
% 8.75/2.32  % (2517685)Time elapsed: 0.109 s
% 8.75/2.32  % (2517685)Peak memory usage: 90 MB
% 8.75/2.32  % (2517685)Instructions burned: 182 (million)
% 8.75/2.32  % (2517694)Instruction limit reached! 
% 8.75/2.32  % (2517694)------------------------------
% 8.75/2.32  % (2517694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.32  % (2517694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.32  % (2517694)CaDiCaL version: 2.1.3
% 8.75/2.32  % (2517694)Termination reason: Instruction limit
% 8.75/2.32  % (2517694)Termination phase: Preprocessing 1
% 8.75/2.32  % (2517694)Time elapsed: 0.049 s
% 8.75/2.32  % (2517694)Peak memory usage: 87 MB
% 8.75/2.32  % (2517694)Instructions burned: 53 (million)
% 8.75/2.32  % (2517696)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=1389490576:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 9.57/2.58  % (2517696)Instruction limit reached! 
% 9.57/2.58  % (2517696)------------------------------
% 9.57/2.58  % (2517696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.58  % (2517696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.58  % (2517696)CaDiCaL version: 2.1.3
% 9.57/2.58  % (2517696)Termination reason: Instruction limit
% 9.57/2.58  % (2517696)Termination phase: Property scanning
% 9.57/2.58  % (2517696)Time elapsed: 0.009 s
% 9.57/2.58  % (2517696)Peak memory usage: 86 MB
% 9.57/2.58  % (2517696)Instructions burned: 8 (million)
% 9.57/2.58  % (2517687)Instruction limit reached! 
% 9.57/2.58  % (2517687)------------------------------
% 9.57/2.58  % (2517687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.58  % (2517687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.58  % (2517687)CaDiCaL version: 2.1.3
% 9.57/2.58  % (2517687)Termination reason: Instruction limit
% 9.57/2.58  % (2517687)Termination phase: Preprocessing 3
% 9.57/2.58  % (2517687)Time elapsed: 0.069 s
% 9.57/2.58  % (2517687)Peak memory usage: 90 MB
% 9.57/2.58  % (2517687)Instructions burned: 67 (million)
% 9.57/2.58  % (2517704)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1363879608:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 9.57/2.58  % (2517704)Instruction limit reached! 
% 9.57/2.58  % (2517704)------------------------------
% 9.57/2.58  % (2517704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.58  % (2517704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.58  % (2517704)CaDiCaL version: 2.1.3
% 9.57/2.58  % (2517704)Termination reason: Instruction limit
% 9.57/2.58  % (2517704)Termination phase: shuffling
% 9.57/2.58  % (2517704)Time elapsed: 0.003 s
% 9.57/2.58  % (2517704)Peak memory usage: 86 MB
% 9.57/2.58  % (2517704)Instructions burned: 3 (million)
% 9.57/2.58  % (2517711)dis+10_1_si=on:random_seed=1554457330:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 9.57/2.58  % (2517707)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=467111577:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 9.57/2.58  % (2517708)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1840012321:i=127:doe=on:rtra=on_2992 on theBenchmark for (2992ds/127Mi)
% 9.57/2.58  % (2517711)Instruction limit reached! 
% 9.57/2.58  % (2517711)------------------------------
% 9.57/2.58  % (2517711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.58  % (2517711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.58  % (2517711)CaDiCaL version: 2.1.3
% 9.57/2.58  % (2517711)Termination reason: Instruction limit
% 9.57/2.58  % (2517711)Termination phase: Property scanning
% 9.57/2.58  % (2517711)Time elapsed: 0.006 s
% 9.57/2.58  % (2517711)Peak memory usage: 86 MB
% 9.57/2.58  % (2517711)Instructions burned: 11 (million)
% 9.57/2.58  % (2517707)Instruction limit reached! 
% 9.57/2.58  % (2517707)------------------------------
% 9.57/2.58  % (2517707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.58  % (2517707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.58  % (2517707)CaDiCaL version: 2.1.3
% 9.57/2.58  % (2517707)Termination reason: Instruction limit
% 9.57/2.58  % (2517707)Termination phase: shuffling
% 9.57/2.58  % (2517707)Time elapsed: 0.004 s
% 9.57/2.58  % (2517707)Peak memory usage: 86 MB
% 9.57/2.58  % (2517707)Instructions burned: 3 (million)
% 9.57/2.58  % (2517713)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2896242381:i=26:canc=cautious:av=off:rtra=on_2991 on theBenchmark for (2991ds/26Mi)
% 9.57/2.58  % (2517713)Instruction limit reached! 
% 9.57/2.58  % (2517713)------------------------------
% 9.57/2.58  % (2517713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.57/2.58  % (2517713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.57/2.58  % (2517713)CaDiCaL version: 2.1.3
% 9.57/2.58  % (2517713)Termination reason: Instruction limit
% 9.57/2.58  % (2517713)Termination phase: Property scanning
% 9.57/2.58  % (2517713)Time elapsed: 0.025 s
% 9.57/2.58  % (2517713)Peak memory usage: 86 MB
% 9.57/2.58  % (2517713)Instructions burned: 26 (million)
% 9.57/2.58  % (2517717)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3534289947:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2990 on theBenchmark for (2990ds/8Mi)
% 11.41/2.92  % (2517714)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2379525777:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2991 on theBenchmark for (2991ds/35Mi)
% 11.41/2.92  % (2517715)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=966553287:i=2:fsr=off:rtra=on:inst=on_2991 on theBenchmark for (2991ds/2Mi)
% 11.41/2.92  % (2517717)Instruction limit reached! 
% 11.41/2.92  % (2517717)------------------------------
% 11.41/2.92  % (2517717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.92  % (2517717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.92  % (2517717)CaDiCaL version: 2.1.3
% 11.41/2.92  % (2517717)Termination reason: Instruction limit
% 11.41/2.92  % (2517717)Termination phase: Property scanning
% 11.41/2.92  % (2517717)Time elapsed: 0.006 s
% 11.41/2.92  % (2517717)Peak memory usage: 86 MB
% 11.41/2.92  % (2517717)Instructions burned: 11 (million)
% 11.41/2.92  % (2517715)Instruction limit reached! 
% 11.41/2.92  % (2517715)------------------------------
% 11.41/2.92  % (2517715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.92  % (2517715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.92  % (2517715)CaDiCaL version: 2.1.3
% 11.41/2.92  % (2517715)Termination reason: Instruction limit
% 11.41/2.92  % (2517715)Termination phase: shuffling
% 11.41/2.92  % (2517715)Time elapsed: 0.004 s
% 11.41/2.92  % (2517715)Peak memory usage: 86 MB
% 11.41/2.92  % (2517715)Instructions burned: 2 (million)
% 11.41/2.92  % (2517708)Instruction limit reached! 
% 11.41/2.92  % (2517708)------------------------------
% 11.41/2.92  % (2517708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.92  % (2517708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.92  % (2517708)CaDiCaL version: 2.1.3
% 11.41/2.92  % (2517708)Termination reason: Instruction limit
% 11.41/2.92  % (2517708)Termination phase: Property scanning
% 11.41/2.92  % (2517708)Time elapsed: 0.120 s
% 11.41/2.92  % (2517708)Peak memory usage: 91 MB
% 11.41/2.92  % (2517708)Instructions burned: 127 (million)
% 11.41/2.92  % (2517714)Instruction limit reached! 
% 11.41/2.92  % (2517714)------------------------------
% 11.41/2.92  % (2517714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.92  % (2517714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.92  % (2517714)CaDiCaL version: 2.1.3
% 11.41/2.92  % (2517714)Termination reason: Instruction limit
% 11.41/2.92  % (2517714)Termination phase: Preprocessing 1
% 11.41/2.92  % (2517714)Time elapsed: 0.035 s
% 11.41/2.92  % (2517714)Peak memory usage: 87 MB
% 11.41/2.92  % (2517714)Instructions burned: 35 (million)
% 11.41/2.92  % (2517724)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3472412899:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/13Mi)
% 11.41/2.92  % (2517723)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=2131427001:i=370:ep=RS:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/370Mi)
% 11.41/2.92  % (2517724)Instruction limit reached! 
% 11.41/2.92  % (2517724)------------------------------
% 11.41/2.92  % (2517724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.92  % (2517724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.92  % (2517724)CaDiCaL version: 2.1.3
% 11.41/2.92  % (2517724)Termination reason: Instruction limit
% 11.41/2.92  % (2517724)Termination phase: shuffling
% 11.41/2.92  % (2517724)Time elapsed: 0.013 s
% 11.41/2.92  % (2517724)Peak memory usage: 86 MB
% 11.41/2.92  % (2517724)Instructions burned: 13 (million)
% 11.41/2.92  % (2517730)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1987766888:i=10:rtra=on_2988 on theBenchmark for (2988ds/10Mi)
% 11.41/2.92  % (2517730)Instruction limit reached! 
% 11.41/2.92  % (2517730)------------------------------
% 11.41/2.92  % (2517730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.92  % (2517730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.92  % (2517730)CaDiCaL version: 2.1.3
% 11.41/2.92  % (2517730)Termination reason: Instruction limit
% 11.41/2.92  % (2517730)Termination phase: Property scanning
% 11.41/2.92  % (2517730)Time elapsed: 0.006 s
% 11.41/2.92  % (2517730)Peak memory usage: 86 MB
% 11.41/2.92  % (2517730)Instructions burned: 11 (million)
% 11.41/2.92  % (2517731)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3225187851:i=71:rtra=on:gtg=exists_top_2988 on theBenchmark for (2988ds/71Mi)
% 15.06/3.34  % (2517729)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3513874303:i=226:rtra=on:gtg=position:ss=axioms_2988 on theBenchmark for (2988ds/226Mi)
% 15.06/3.34  % (2517733)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1326565628:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2988 on theBenchmark for (2988ds/294Mi)
% 15.06/3.34  % (2517732)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=3550915359:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2988 on theBenchmark for (2988ds/75Mi)
% 15.06/3.34  % (2517731)Instruction limit reached! 
% 15.06/3.34  % (2517731)------------------------------
% 15.06/3.34  % (2517731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.06/3.34  % (2517731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/3.34  % (2517731)CaDiCaL version: 2.1.3
% 15.06/3.34  % (2517731)Termination reason: Instruction limit
% 15.06/3.34  % (2517731)Termination phase: Property scanning
% 15.06/3.34  % (2517731)Time elapsed: 0.073 s
% 15.06/3.34  % (2517731)Peak memory usage: 90 MB
% 15.06/3.34  % (2517731)Instructions burned: 71 (million)
% 15.06/3.34  % (2517732)Instruction limit reached! 
% 15.06/3.34  % (2517732)------------------------------
% 15.06/3.34  % (2517732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.06/3.34  % (2517732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/3.34  % (2517732)CaDiCaL version: 2.1.3
% 15.06/3.34  % (2517732)Termination reason: Instruction limit
% 15.06/3.34  % (2517732)Termination phase: Property scanning
% 15.06/3.34  % (2517732)Time elapsed: 0.077 s
% 15.06/3.34  % (2517732)Peak memory usage: 90 MB
% 15.06/3.34  % (2517732)Instructions burned: 75 (million)
% 15.06/3.34  % (2517740)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=717180106:i=131:rtra=on_2986 on theBenchmark for (2986ds/131Mi)
% 15.06/3.34  % (2517738)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=2919112794:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2987 on theBenchmark for (2987ds/130Mi)
% 15.06/3.34  % (2517740)Instruction limit reached! 
% 15.06/3.34  % (2517740)------------------------------
% 15.06/3.34  % (2517740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.06/3.34  % (2517740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/3.34  % (2517740)CaDiCaL version: 2.1.3
% 15.06/3.34  % (2517740)Termination reason: Instruction limit
% 15.06/3.34  % (2517740)Termination phase: Saturation
% 15.06/3.34  % (2517740)Time elapsed: 0.087 s
% 15.06/3.34  % (2517740)Peak memory usage: 118 MB
% 15.06/3.34  % (2517740)Instructions burned: 131 (million)
% 15.06/3.34  % (2517729)Instruction limit reached! 
% 15.06/3.34  % (2517729)------------------------------
% 15.06/3.34  % (2517729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.06/3.34  % (2517729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/3.34  % (2517729)CaDiCaL version: 2.1.3
% 15.06/3.34  % (2517729)Termination reason: Instruction limit
% 15.06/3.34  % (2517729)Termination phase: Saturation
% 15.06/3.34  % (2517729)Time elapsed: 0.238 s
% 15.06/3.34  % (2517729)Peak memory usage: 117 MB
% 15.06/3.34  % (2517729)Instructions burned: 227 (million)
% 15.06/3.34  % (2517723)Instruction limit reached! 
% 15.06/3.34  % (2517723)------------------------------
% 15.06/3.34  % (2517723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.06/3.34  % (2517723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/3.34  % (2517723)CaDiCaL version: 2.1.3
% 15.06/3.34  % (2517723)Termination reason: Instruction limit
% 15.06/3.34  % (2517723)Termination phase: Saturation
% 15.06/3.34  % (2517723)Time elapsed: 0.336 s
% 15.06/3.34  % (2517723)Peak memory usage: 95 MB
% 15.06/3.34  % (2517723)Instructions burned: 371 (million)
% 15.06/3.34  % (2517738)Instruction limit reached! 
% 15.06/3.34  % (2517738)------------------------------
% 15.06/3.34  % (2517738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.06/3.34  % (2517738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.06/3.34  % (2517738)CaDiCaL version: 2.1.3
% 15.06/3.34  % (2517738)Termination reason: Instruction limit
% 17.10/3.67  % (2517738)Termination phase: Property scanning
% 17.10/3.67  % (2517738)Time elapsed: 0.116 s
% 17.10/3.67  % (2517738)Peak memory usage: 91 MB
% 17.10/3.67  % (2517738)Instructions burned: 130 (million)
% 17.10/3.67  % (2517733)Instruction limit reached! 
% 17.10/3.67  % (2517733)------------------------------
% 17.10/3.67  % (2517733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.67  % (2517733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.67  % (2517733)CaDiCaL version: 2.1.3
% 17.10/3.67  % (2517733)Termination reason: Instruction limit
% 17.10/3.67  % (2517733)Termination phase: Property scanning
% 17.10/3.67  % (2517733)Time elapsed: 0.244 s
% 17.10/3.67  % (2517733)Peak memory usage: 91 MB
% 17.10/3.67  % (2517733)Instructions burned: 294 (million)
% 17.10/3.67  % (2517745)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=353732391:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2985 on theBenchmark for (2985ds/40Mi)
% 17.10/3.67  % (2517745)Instruction limit reached! 
% 17.10/3.67  % (2517745)------------------------------
% 17.10/3.67  % (2517745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.67  % (2517745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.67  % (2517745)CaDiCaL version: 2.1.3
% 17.10/3.67  % (2517745)Termination reason: Instruction limit
% 17.10/3.67  % (2517745)Termination phase: Property scanning
% 17.10/3.67  % (2517745)Time elapsed: 0.020 s
% 17.10/3.67  % (2517745)Peak memory usage: 87 MB
% 17.10/3.67  % (2517745)Instructions burned: 40 (million)
% 17.10/3.67  % (2517747)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=396643306:i=307:rtra=on:gtg=exists_top_2985 on theBenchmark for (2985ds/307Mi)
% 17.10/3.67  % (2517749)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=2447810347:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/598Mi)
% 17.10/3.67  % (2517755)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=633806666:i=383:fsr=off:rtra=on:ev=force_2983 on theBenchmark for (2983ds/383Mi)
% 17.10/3.67  % (2517756)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=1337118250:i=141:doe=on:rtra=on_2983 on theBenchmark for (2983ds/141Mi)
% 17.10/3.67  % (2517752)dis+10_1_si=on:random_seed=366259643:s2a=on:i=1000:rtra=on:gtg=exists_all_2983 on theBenchmark for (2983ds/1000Mi)
% 17.10/3.67  % (2517750)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=1871972555:i=131:canc=cautious:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/131Mi)
% 17.10/3.67  % (2517751)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=199974614:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2983 on theBenchmark for (2983ds/259Mi)
% 17.10/3.67  % (2517751)Refutation not found, incomplete strategy
% 17.10/3.67  % (2517751)------------------------------
% 17.10/3.67  % (2517751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.67  % (2517751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.67  % (2517751)CaDiCaL version: 2.1.3
% 17.10/3.67  % (2517751)Termination reason: Refutation not found, incomplete strategy
% 17.10/3.67  % (2517751)Time elapsed: 0.089 s
% 17.10/3.67  % (2517751)Peak memory usage: 117 MB
% 17.10/3.67  % (2517751)Instructions burned: 54 (million)
% 17.10/3.67  % (2517756)Instruction limit reached! 
% 17.10/3.67  % (2517756)------------------------------
% 17.10/3.67  % (2517756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.67  % (2517756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.67  % (2517756)CaDiCaL version: 2.1.3
% 17.10/3.67  % (2517756)Termination reason: Instruction limit
% 17.10/3.67  % (2517756)Termination phase: Saturation
% 17.10/3.67  % (2517756)Time elapsed: 0.121 s
% 17.10/3.67  % (2517756)Peak memory usage: 93 MB
% 17.10/3.67  % (2517756)Instructions burned: 142 (million)
% 17.10/3.67  % (2517750)Instruction limit reached! 
% 17.10/3.67  % (2517750)------------------------------
% 17.10/3.67  % (2517750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.67  % (2517750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.67  % (2517750)CaDiCaL version: 2.1.3
% 17.10/3.67  % (2517750)Termination reason: Instruction limit
% 17.10/3.67  % (2517750)Termination phase: Saturation
% 17.10/3.67  % (2517750)Time elapsed: 0.120 s
% 17.10/3.67  % (2517750)Peak memory usage: 91 MB
% 17.10/3.67  % (2517750)Instructions burned: 132 (million)
% 17.10/3.67  % (2517755)Instruction limit reached! 
% 17.10/3.67  % (2517755)------------------------------
% 17.10/3.67  % (2517755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.67  % (2517755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.67  % (2517755)CaDiCaL version: 2.1.3
% 17.10/3.67  % (2517755)Termination reason: Instruction limit
% 17.10/3.67  % (2517755)Termination phase: Saturation
% 17.10/3.67  % (2517755)Time elapsed: 0.221 s
% 17.10/3.67  % (2517755)Peak memory usage: 100 MB
% 17.10/3.67  % (2517755)Instructions burned: 384 (million)
% 17.10/3.67  % (2517747)Instruction limit reached! 
% 17.10/3.67  % (2517747)------------------------------
% 17.10/3.67  % (2517747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.67  % (2517747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.67  % (2517747)CaDiCaL version: 2.1.3
% 17.10/3.67  % (2517747)Termination reason: Instruction limit
% 17.10/3.67  % (2517747)Termination phase: Saturation
% 17.10/3.67  % (2517747)Time elapsed: 0.306 s
% 17.10/3.67  % (2517747)Peak memory usage: 97 MB
% 17.10/3.67  % (2517747)Instructions burned: 307 (million)
% 17.10/3.67  % (2517771)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=4230642131:i=65:nm=16:rtra=on_2980 on theBenchmark for (2980ds/65Mi)
% 17.10/3.67  % (2517772)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=1186729770:i=121:nm=16:rtra=on_2980 on theBenchmark for (2980ds/121Mi)
% 17.10/3.67  % (2517773)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=911888735:s2a=on:i=128:s2at=5:ins=3:rtra=on_2979 on theBenchmark for (2979ds/128Mi)
% 17.10/3.67  % (2517771)Instruction limit reached! 
% 17.10/3.67  % (2517771)------------------------------
% 17.10/3.67  % (2517771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.67  % (2517771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.67  % (2517771)CaDiCaL version: 2.1.3
% 17.10/3.67  % (2517771)Termination reason: Instruction limit
% 17.10/3.67  % (2517771)Termination phase: Property scanning
% 17.10/3.67  % (2517771)Time elapsed: 0.068 s
% 17.10/3.67  % (2517771)Peak memory usage: 90 MB
% 17.10/3.67  % (2517771)Instructions burned: 66 (million)
% 17.10/3.67  % (2517749)First to succeed.
% 17.10/3.67  % (2517749)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2517644"
% 17.10/3.67  % (2517773)Instruction limit reached! 
% 17.10/3.67  % (2517773)------------------------------
% 17.10/3.67  % (2517773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.67  % (2517773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.67  % (2517773)CaDiCaL version: 2.1.3
% 17.10/3.67  % (2517773)Termination reason: Instruction limit
% 17.10/3.67  % (2517773)Termination phase: Property scanning
% 17.10/3.67  % (2517773)Time elapsed: 0.066 s
% 17.10/3.67  % (2517773)Peak memory usage: 91 MB
% 17.10/3.67  % (2517773)Instructions burned: 130 (million)
% 17.10/3.67  % (2517751)------------------------------
% 17.10/3.67  % (2517751)------------------------------
% 17.10/3.67  % (2517774)ott-1_8:1_tgt=ground:plsq=on:plsqc=2:sas=z3:si=on:plsqr=3,1:sos=on:inw=on:flr=on:random_seed=3235694324:i=39:ins=3:rtra=on_2979 on theBenchmark for (2979ds/39Mi)
% 17.10/3.67  % (2517772)Instruction limit reached! 
% 17.10/3.67  % (2517772)------------------------------
% 17.10/3.67  % (2517772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.67  % (2517772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.67  % (2517772)CaDiCaL version: 2.1.3
% 17.10/3.67  % (2517772)Termination reason: Instruction limit
% 17.10/3.67  % (2517772)Termination phase: Property scanning
% 17.10/3.67  % (2517772)Time elapsed: 0.114 s
% 17.10/3.67  % (2517772)Peak memory usage: 91 MB
% 17.10/3.67  % (2517772)Instructions burned: 121 (million)
% 17.10/3.67  % (2517774)Instruction limit reached! 
% 17.10/3.67  % (2517774)------------------------------
% 17.10/3.67  % (2517774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.67  % (2517774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.67  % (2517774)CaDiCaL version: 2.1.3
% 17.10/3.67  % (2517774)Termination reason: Instruction limit
% 17.10/3.67  % (2517774)Termination phase: Naming
% 17.10/3.67  % (2517774)Time elapsed: 0.040 s
% 17.10/3.67  % (2517774)Peak memory usage: 88 MB
% 17.10/3.67  % (2517774)Instructions burned: 39 (million)
% 17.10/3.67  % (2517781)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1070606706:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2976 on theBenchmark for (2976ds/329Mi)
% 17.10/3.67  % (2517779)dis+1010_1_to=kbo:si=on:random_seed=2100452210:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_2977 on theBenchmark for (2977ds/175Mi)
% 17.10/3.67  % (2517784)lrs+10_40_anc=all:to=kbo:tgt=ground:thi=overlap:sas=z3:si=on:thigen=on:random_seed=3217054971:thitd=on:i=215:nm=0:rtra=on:ev=force_2976 on theBenchmark for (2976ds/215Mi)
% 17.10/3.67  % (2517783)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=1919203459:s2a=on:i=483:doe=on:nm=32:rtra=on_2976 on theBenchmark for (2976ds/483Mi)
% 17.10/3.67  % (2517785)lrs+1011_1_to=kbo:sil=128000:sas=z3:si=on:norm_ineq=on:sp=unary_frequency:tha=off:random_seed=796012372:i=349:rtra=on_2976 on theBenchmark for (2976ds/349Mi)
% 17.10/3.67  % (2517779)Instruction limit reached! 
% 17.10/3.67  % (2517779)------------------------------
% 17.10/3.67  % (2517779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.67  % (2517779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.67  % (2517779)CaDiCaL version: 2.1.3
% 17.10/3.67  % (2517779)Termination reason: Instruction limit
% 17.10/3.67  % (2517779)Termination phase: Saturation
% 17.10/3.67  % (2517779)Time elapsed: 0.177 s
% 17.10/3.67  % (2517779)Peak memory usage: 93 MB
% 17.10/3.67  % (2517779)Instructions burned: 175 (million)
% 17.10/3.67  % (2517781)Instruction limit reached! 
% 17.10/3.67  % (2517781)------------------------------
% 17.10/3.67  % (2517781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.10/3.67  % (2517781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.10/3.67  % (2517781)CaDiCaL version: 2.1.3
% 17.10/3.67  % (2517781)Termination reason: Instruction limit
% 17.10/3.67  % (2517781)Termination phase: Saturation
% 17.10/3.67  % (2517781)Time elapsed: 0.192 s
% 17.10/3.67  % (2517781)Peak memory usage: 119 MB
% 17.10/3.67  % (2517781)Instructions burned: 331 (million)
% 17.10/3.67  % (2517749)Refutation found. Thanks to Tanya!
% 17.10/3.67  % SZS status Theorem for theBenchmark
% 17.10/3.67  % SZS output start Proof for theBenchmark
% See solution above
% 19.19/3.88  % (2517749)------------------------------
% 19.19/3.88  % (2517749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.19/3.88  % (2517749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.19/3.88  % (2517749)CaDiCaL version: 2.1.3
% 19.19/3.88  % (2517749)Termination reason: Refutation
% 19.19/3.88  % (2517749)Time elapsed: 0.492 s
% 19.19/3.88  % (2517749)Peak memory usage: 141 MB
% 19.19/3.88  % (2517749)Instructions burned: 405 (million)
% 19.19/3.88  % (2517749)------------------------------
% 19.19/3.88  % (2517749)------------------------------
% 19.19/3.88  % (2517644)Success in time 2.696 s
% 19.19/3.88  % Vampire exiting
%------------------------------------------------------------------------------