TSTP Solution File: ITP257^4 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ITP257^4 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 23:06:14 EDT 2024

% Result   : Theorem 31.43s 5.48s
% Output   : Refutation 31.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      : 3564
% Syntax   : Number of formulae    : 3598 (  44 unt;3554 typ;   0 def)
%            Number of atoms       : 1431 (  43 equ;   0 cnn)
%            Maximal formula atoms :    1 (  32 avg)
%            Number of connectives :   12 (  12   ~;   0   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   1 avg)
%            Number of types       :   12 (  11 usr)
%            Number of type conns  : 9097 (9094   >;   3   *;   0   +;   0  <<)
%            Number of symbols     : 3539 (3537 usr;  24 con; 0-9 aty)
%            Number of variables   : 2801 (   0   ^   6   !;   0   ?;2801   :)
%                                         (2795  !>;   0  ?*;   0  @-;   0  @+)

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

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(type_def_7,type,
    list: $tType > $tType ).

thf(type_def_8,type,
    set: $tType > $tType ).

thf(type_def_9,type,
    product_prod: ( $tType * $tType ) > $tType ).

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

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

thf(type_def_12,type,
    option: $tType > $tType ).

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

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

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

thf(type_def_16,type,
    filter: $tType > $tType ).

thf(type_def_17,type,
    itself: $tType > $tType ).

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

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

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

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

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

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

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

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

thf(func_def_3,type,
    product_prod: ( $tType * $tType ) > $tType ).

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

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

thf(func_def_6,type,
    option: $tType > $tType ).

thf(func_def_7,type,
    filter: $tType > $tType ).

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

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

thf(func_def_10,type,
    list: $tType > $tType ).

thf(func_def_11,type,
    set: $tType > $tType ).

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

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

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

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

thf(func_def_16,type,
    itself: $tType > $tType ).

thf(func_def_17,type,
    bounded_lattice: 
      !>[X0: $tType] : $o ).

thf(func_def_18,type,
    type: 
      !>[X0: $tType] : $o ).

thf(func_def_19,type,
    size: 
      !>[X0: $tType] : $o ).

thf(func_def_20,type,
    dvd: 
      !>[X0: $tType] : $o ).

thf(func_def_21,type,
    one: 
      !>[X0: $tType] : $o ).

thf(func_def_22,type,
    idom: 
      !>[X0: $tType] : $o ).

thf(func_def_23,type,
    ring: 
      !>[X0: $tType] : $o ).

thf(func_def_24,type,
    plus: 
      !>[X0: $tType] : $o ).

thf(func_def_25,type,
    zero: 
      !>[X0: $tType] : $o ).

thf(func_def_26,type,
    numeral: 
      !>[X0: $tType] : $o ).

thf(func_def_27,type,
    power: 
      !>[X0: $tType] : $o ).

thf(func_def_28,type,
    field: 
      !>[X0: $tType] : $o ).

thf(func_def_29,type,
    ring_gcd: 
      !>[X0: $tType] : $o ).

thf(func_def_30,type,
    minus: 
      !>[X0: $tType] : $o ).

thf(func_def_31,type,
    abs_if: 
      !>[X0: $tType] : $o ).

thf(func_def_32,type,
    ring_1: 
      !>[X0: $tType] : $o ).

thf(func_def_33,type,
    uminus: 
      !>[X0: $tType] : $o ).

thf(func_def_34,type,
    ord: 
      !>[X0: $tType] : $o ).

thf(func_def_35,type,
    inverse: 
      !>[X0: $tType] : $o ).

thf(func_def_36,type,
    semiring: 
      !>[X0: $tType] : $o ).

thf(func_def_37,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

thf(func_def_38,type,
    neg_numeral: 
      !>[X0: $tType] : $o ).

thf(func_def_39,type,
    order: 
      !>[X0: $tType] : $o ).

thf(func_def_40,type,
    comm_ring: 
      !>[X0: $tType] : $o ).

thf(func_def_41,type,
    mult_zero: 
      !>[X0: $tType] : $o ).

thf(func_def_42,type,
    semiring_Gcd: 
      !>[X0: $tType] : $o ).

thf(func_def_43,type,
    semiring_gcd: 
      !>[X0: $tType] : $o ).

thf(func_def_44,type,
    group_add: 
      !>[X0: $tType] : $o ).

thf(func_def_45,type,
    lattice: 
      !>[X0: $tType] : $o ).

thf(func_def_46,type,
    no_bot: 
      !>[X0: $tType] : $o ).

thf(func_def_47,type,
    no_top: 
      !>[X0: $tType] : $o ).

thf(func_def_48,type,
    semiring_0: 
      !>[X0: $tType] : $o ).

thf(func_def_49,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

thf(func_def_50,type,
    finite_finite: 
      !>[X0: $tType] : $o ).

thf(func_def_51,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

thf(func_def_52,type,
    comm_ring_1: 
      !>[X0: $tType] : $o ).

thf(func_def_53,type,
    idom_divide: 
      !>[X0: $tType] : $o ).

thf(func_def_54,type,
    idom_modulo: 
      !>[X0: $tType] : $o ).

thf(func_def_55,type,
    ln: 
      !>[X0: $tType] : $o ).

thf(func_def_56,type,
    monoid_mult: 
      !>[X0: $tType] : $o ).

thf(func_def_57,type,
    linorder: 
      !>[X0: $tType] : $o ).

thf(func_def_58,type,
    preorder: 
      !>[X0: $tType] : $o ).

thf(func_def_59,type,
    ring_parity: 
      !>[X0: $tType] : $o ).

thf(func_def_60,type,
    idom_abs_sgn: 
      !>[X0: $tType] : $o ).

thf(func_def_61,type,
    ordered_ring: 
      !>[X0: $tType] : $o ).

thf(func_def_62,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

thf(func_def_63,type,
    field_char_0: 
      !>[X0: $tType] : $o ).

thf(func_def_64,type,
    ab_group_add: 
      !>[X0: $tType] : $o ).

thf(func_def_65,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

thf(func_def_66,type,
    order_bot: 
      !>[X0: $tType] : $o ).

thf(func_def_67,type,
    order_top: 
      !>[X0: $tType] : $o ).

thf(func_def_68,type,
    wellorder: 
      !>[X0: $tType] : $o ).

thf(func_def_69,type,
    comm_semiring: 
      !>[X0: $tType] : $o ).

thf(func_def_70,type,
    zero_less_one: 
      !>[X0: $tType] : $o ).

thf(func_def_71,type,
    division_ring: 
      !>[X0: $tType] : $o ).

thf(func_def_72,type,
    field_abs_sgn: 
      !>[X0: $tType] : $o ).

thf(func_def_73,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

thf(func_def_74,type,
    semiring_numeral: 
      !>[X0: $tType] : $o ).

thf(func_def_75,type,
    semidom_divide: 
      !>[X0: $tType] : $o ).

thf(func_def_76,type,
    semidom_modulo: 
      !>[X0: $tType] : $o ).

thf(func_def_77,type,
    complete_Inf: 
      !>[X0: $tType] : $o ).

thf(func_def_78,type,
    complete_Sup: 
      !>[X0: $tType] : $o ).

thf(func_def_79,type,
    semigroup_mult: 
      !>[X0: $tType] : $o ).

thf(func_def_80,type,
    dense_order: 
      !>[X0: $tType] : $o ).

thf(func_def_81,type,
    comm_semiring_0: 
      !>[X0: $tType] : $o ).

thf(func_def_82,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

thf(func_def_83,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

thf(func_def_84,type,
    linordered_ring: 
      !>[X0: $tType] : $o ).

thf(func_def_85,type,
    semiring_modulo: 
      !>[X0: $tType] : $o ).

thf(func_def_86,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

thf(func_def_87,type,
    semiring_parity: 
      !>[X0: $tType] : $o ).

thf(func_def_88,type,
    ordered_ring_abs: 
      !>[X0: $tType] : $o ).

thf(func_def_89,type,
    ordered_semiring: 
      !>[X0: $tType] : $o ).

thf(func_def_90,type,
    linordered_field: 
      !>[X0: $tType] : $o ).

thf(func_def_91,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

thf(func_def_92,type,
    comm_monoid_diff: 
      !>[X0: $tType] : $o ).

thf(func_def_93,type,
    comm_monoid_mult: 
      !>[X0: $tType] : $o ).

thf(func_def_94,type,
    algebraic_semidom: 
      !>[X0: $tType] : $o ).

thf(func_def_95,type,
    semiring_1_cancel: 
      !>[X0: $tType] : $o ).

thf(func_def_96,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

thf(func_def_97,type,
    semilattice_inf: 
      !>[X0: $tType] : $o ).

thf(func_def_98,type,
    semilattice_sup: 
      !>[X0: $tType] : $o ).

thf(func_def_99,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

thf(func_def_100,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

thf(func_def_101,type,
    ordered_semiring_0: 
      !>[X0: $tType] : $o ).

thf(func_def_102,type,
    real_Vector_banach: 
      !>[X0: $tType] : $o ).

thf(func_def_103,type,
    linordered_semiring: 
      !>[X0: $tType] : $o ).

thf(func_def_104,type,
    finite8700451911770168679attice: 
      !>[X0: $tType] : $o ).

thf(func_def_105,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

thf(func_def_106,type,
    ordered_ab_group_add: 
      !>[X0: $tType] : $o ).

thf(func_def_107,type,
    linord6961819062388156250ring_1: 
      !>[X0: $tType] : $o ).

thf(func_def_108,type,
    ordere2520102378445227354miring: 
      !>[X0: $tType] : $o ).

thf(func_def_109,type,
    topological_t1_space: 
      !>[X0: $tType] : $o ).

thf(func_def_110,type,
    topological_t2_space: 
      !>[X0: $tType] : $o ).

thf(func_def_111,type,
    topological_t3_space: 
      !>[X0: $tType] : $o ).

thf(func_def_112,type,
    topological_t4_space: 
      !>[X0: $tType] : $o ).

thf(func_def_113,type,
    bit_semiring_bits: 
      !>[X0: $tType] : $o ).

thf(func_def_114,type,
    topolo1633459387980952147up_add: 
      !>[X0: $tType] : $o ).

thf(func_def_115,type,
    real_V6936659425649961206t_norm: 
      !>[X0: $tType] : $o ).

thf(func_def_116,type,
    comm_s4317794764714335236cancel: 
      !>[X0: $tType] : $o ).

thf(func_def_117,type,
    linord4710134922213307826strict: 
      !>[X0: $tType] : $o ).

thf(func_def_118,type,
    cancel1802427076303600483id_add: 
      !>[X0: $tType] : $o ).

thf(func_def_119,type,
    topolo6943815403480290642id_add: 
      !>[X0: $tType] : $o ).

thf(func_def_120,type,
    real_V7773925162809079976_field: 
      !>[X0: $tType] : $o ).

thf(func_def_121,type,
    ring_15535105094025558882visors: 
      !>[X0: $tType] : $o ).

thf(func_def_122,type,
    cancel2418104881723323429up_add: 
      !>[X0: $tType] : $o ).

thf(func_def_123,type,
    linord5086331880401160121up_add: 
      !>[X0: $tType] : $o ).

thf(func_def_124,type,
    ordere6911136660526730532id_add: 
      !>[X0: $tType] : $o ).

thf(func_def_125,type,
    topolo1898628316856586783d_mult: 
      !>[X0: $tType] : $o ).

thf(func_def_126,type,
    real_V4867850818363320053vector: 
      !>[X0: $tType] : $o ).

thf(func_def_127,type,
    archim2362893244070406136eiling: 
      !>[X0: $tType] : $o ).

thf(func_def_128,type,
    semiri6843258321239162965malize: 
      !>[X0: $tType] : $o ).

thf(func_def_129,type,
    ordere166539214618696060dd_abs: 
      !>[X0: $tType] : $o ).

thf(func_def_130,type,
    ordere6658533253407199908up_add: 
      !>[X0: $tType] : $o ).

thf(func_def_131,type,
    topolo1287966508704411220up_add: 
      !>[X0: $tType] : $o ).

thf(func_def_132,type,
    real_V7819770556892013058_space: 
      !>[X0: $tType] : $o ).

thf(func_def_133,type,
    real_V6157519004096292374lgebra: 
      !>[X0: $tType] : $o ).

thf(func_def_134,type,
    semiri3467727345109120633visors: 
      !>[X0: $tType] : $o ).

thf(func_def_135,type,
    boolea8198339166811842893lgebra: 
      !>[X0: $tType] : $o ).

thf(func_def_136,type,
    linord8928482502909563296strict: 
      !>[X0: $tType] : $o ).

thf(func_def_137,type,
    topolo8386298272705272623_space: 
      !>[X0: $tType] : $o ).

thf(func_def_138,type,
    topolo7287701948861334536_space: 
      !>[X0: $tType] : $o ).

thf(func_def_139,type,
    euclid5891614535332579305n_ring: 
      !>[X0: $tType] : $o ).

thf(func_def_140,type,
    topolo4211221413907600880p_mult: 
      !>[X0: $tType] : $o ).

thf(func_def_141,type,
    real_V8037385150606011577_space: 
      !>[X0: $tType] : $o ).

thf(func_def_142,type,
    real_V2191834092415804123ebra_1: 
      !>[X0: $tType] : $o ).

thf(func_def_143,type,
    linord181362715937106298miring: 
      !>[X0: $tType] : $o ).

thf(func_def_144,type,
    semiri2026040879449505780visors: 
      !>[X0: $tType] : $o ).

thf(func_def_145,type,
    topolo2564578578187576103pology: 
      !>[X0: $tType] : $o ).

thf(func_def_146,type,
    bit_ri3973907225187159222ations: 
      !>[X0: $tType] : $o ).

thf(func_def_147,type,
    comple6319245703460814977attice: 
      !>[X0: $tType] : $o ).

thf(func_def_148,type,
    linord4140545234300271783up_add: 
      !>[X0: $tType] : $o ).

thf(func_def_149,type,
    topolo5987344860129210374id_add: 
      !>[X0: $tType] : $o ).

thf(func_def_150,type,
    unboun7993243217541854897norder: 
      !>[X0: $tType] : $o ).

thf(func_def_151,type,
    real_V768167426530841204y_dist: 
      !>[X0: $tType] : $o ).

thf(func_def_152,type,
    linord715952674999750819strict: 
      !>[X0: $tType] : $o ).

thf(func_def_153,type,
    topolo569519726778239578ormity: 
      !>[X0: $tType] : $o ).

thf(func_def_154,type,
    archim462609752435547400_field: 
      !>[X0: $tType] : $o ).

thf(func_def_155,type,
    comple5582772986160207858norder: 
      !>[X0: $tType] : $o ).

thf(func_def_156,type,
    topolo4987421752381908075d_mult: 
      !>[X0: $tType] : $o ).

thf(func_def_157,type,
    real_V5047593784448816457lgebra: 
      !>[X0: $tType] : $o ).

thf(func_def_158,type,
    bounde4346867609351753570nf_top: 
      !>[X0: $tType] : $o ).

thf(func_def_159,type,
    real_V3459762299906320749_field: 
      !>[X0: $tType] : $o ).

thf(func_def_160,type,
    topolo8865339358273720382pology: 
      !>[X0: $tType] : $o ).

thf(func_def_161,type,
    topolo1944317154257567458pology: 
      !>[X0: $tType] : $o ).

thf(func_def_162,type,
    topolo4958980785337419405_space: 
      !>[X0: $tType] : $o ).

thf(func_def_163,type,
    euclid3725896446679973847miring: 
      !>[X0: $tType] : $o ).

thf(func_def_164,type,
    canoni5634975068530333245id_add: 
      !>[X0: $tType] : $o ).

thf(func_def_165,type,
    ordere8940638589300402666id_add: 
      !>[X0: $tType] : $o ).

thf(func_def_166,type,
    strict7427464778891057005id_add: 
      !>[X0: $tType] : $o ).

thf(func_def_167,type,
    real_V822414075346904944vector: 
      !>[X0: $tType] : $o ).

thf(func_def_168,type,
    linord2810124833399127020strict: 
      !>[X0: $tType] : $o ).

thf(func_def_169,type,
    bit_se359711467146920520ations: 
      !>[X0: $tType] : $o ).

thf(func_def_170,type,
    ordere2412721322843649153imp_le: 
      !>[X0: $tType] : $o ).

thf(func_def_171,type,
    ordere580206878836729694up_add: 
      !>[X0: $tType] : $o ).

thf(func_def_172,type,
    ordere1170586879665033532d_diff: 
      !>[X0: $tType] : $o ).

thf(func_def_173,type,
    strict9044650504122735259up_add: 
      !>[X0: $tType] : $o ).

thf(func_def_174,type,
    real_V5355595471888546746vector: 
      !>[X0: $tType] : $o ).

thf(func_def_175,type,
    real_V4412858255891104859lgebra: 
      !>[X0: $tType] : $o ).

thf(func_def_176,type,
    semiri6575147826004484403cancel: 
      !>[X0: $tType] : $o ).

thf(func_def_177,type,
    euclid8851590272496341667cancel: 
      !>[X0: $tType] : $o ).

thf(func_def_178,type,
    real_V2822296259951069270ebra_1: 
      !>[X0: $tType] : $o ).

thf(func_def_179,type,
    unique1627219031080169319umeral: 
      !>[X0: $tType] : $o ).

thf(func_def_180,type,
    comple489889107523837845lgebra: 
      !>[X0: $tType] : $o ).

thf(func_def_181,type,
    comple592849572758109894attice: 
      !>[X0: $tType] : $o ).

thf(func_def_182,type,
    real_V8999393235501362500lgebra: 
      !>[X0: $tType] : $o ).

thf(func_def_183,type,
    topolo3112930676232923870pology: 
      !>[X0: $tType] : $o ).

thf(func_def_184,type,
    euclid4440199948858584721cancel: 
      !>[X0: $tType] : $o ).

thf(func_def_185,type,
    euclid3128863361964157862miring: 
      !>[X0: $tType] : $o ).

thf(func_def_186,type,
    topolo8458572112393995274pology: 
      !>[X0: $tType] : $o ).

thf(func_def_187,type,
    ordere1937475149494474687imp_le: 
      !>[X0: $tType] : $o ).

thf(func_def_188,type,
    condit5016429287641298734tinuum: 
      !>[X0: $tType] : $o ).

thf(func_def_189,type,
    euclid8789492081693882211th_nat: 
      !>[X0: $tType] : $o ).

thf(func_def_190,type,
    euclid5411537665997757685th_nat: 
      !>[X0: $tType] : $o ).

thf(func_def_191,type,
    counta3822494911875563373attice: 
      !>[X0: $tType] : $o ).

thf(func_def_192,type,
    semiri1453513574482234551roduct: 
      !>[X0: $tType] : $o ).

thf(func_def_193,type,
    bit_un5681908812861735899ations: 
      !>[X0: $tType] : $o ).

thf(func_def_194,type,
    condit1219197933456340205attice: 
      !>[X0: $tType] : $o ).

thf(func_def_195,type,
    condit6923001295902523014norder: 
      !>[X0: $tType] : $o ).

thf(func_def_196,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

thf(func_def_197,type,
    archim6421214686448440834_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

thf(func_def_198,type,
    archimedean_frac: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_199,type,
    archimedean_round: 
      !>[X0: $tType] : ( X0 > int ) ).

thf(func_def_200,type,
    bNF_Greatest_Succ: 
      !>[X0: $tType] : ( set(list(X0)) > list(X0) > set(X0) ) ).

thf(func_def_201,type,
    bNF_Greatest_image2: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( set(X0) > ( X0 > X1 ) > ( X0 > X2 ) > set(product_prod(X1,X2)) ) ).

thf(func_def_202,type,
    basic_BNF_size_prod: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > nat ) > ( X1 > nat ) > product_prod(X0,X1) > nat ) ).

thf(func_def_203,type,
    binomial: nat > nat > nat ).

thf(func_def_204,type,
    gbinomial: 
      !>[X0: $tType] : ( X0 > nat > X0 ) ).

thf(func_def_205,type,
    bit_and_int_rel: product_prod(int,int) > product_prod(int,int) > $o ).

thf(func_def_206,type,
    bit_and_not_num: num > num > option(num) ).

thf(func_def_207,type,
    bit_concat_bit: nat > int > int > int ).

thf(func_def_208,type,
    bit_or_not_num_neg: num > num > num ).

thf(func_def_209,type,
    bit_ri4277139882892585799ns_not: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_210,type,
    bit_ri4674362597316999326ke_bit: 
      !>[X0: $tType] : ( nat > X0 > X0 ) ).

thf(func_def_211,type,
    bit_se5824344872417868541ns_and: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_212,type,
    bit_se4197421643247451524op_bit: 
      !>[X0: $tType] : ( nat > X0 > X0 ) ).

thf(func_def_213,type,
    bit_se8732182000553998342ip_bit: 
      !>[X0: $tType] : ( nat > X0 > X0 ) ).

thf(func_def_214,type,
    bit_se2239418461657761734s_mask: 
      !>[X0: $tType] : ( nat > X0 ) ).

thf(func_def_215,type,
    bit_se1065995026697491101ons_or: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_216,type,
    bit_se4730199178511100633sh_bit: 
      !>[X0: $tType] : ( nat > X0 > X0 ) ).

thf(func_def_217,type,
    bit_se5668285175392031749et_bit: 
      !>[X0: $tType] : ( nat > X0 > X0 ) ).

thf(func_def_218,type,
    bit_se2584673776208193580ke_bit: 
      !>[X0: $tType] : ( nat > X0 > X0 ) ).

thf(func_def_219,type,
    bit_se2638667681897837118et_bit: 
      !>[X0: $tType] : ( nat > X0 > X0 ) ).

thf(func_def_220,type,
    bit_se5824344971392196577ns_xor: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_221,type,
    bit_se5641148757651400278ts_bit: 
      !>[X0: $tType] : ( X0 > nat > $o ) ).

thf(func_def_222,type,
    bit_take_bit_num: nat > num > option(num) ).

thf(func_def_223,type,
    bit_un1837492267222099188nd_num: num > num > option(num) ).

thf(func_def_224,type,
    bit_un6178654185764691216or_num: num > num > option(num) ).

thf(func_def_225,type,
    bit_un7362597486090784418nd_num: num > num > option(num) ).

thf(func_def_226,type,
    bit_un2480387367778600638or_num: num > num > option(num) ).

thf(func_def_227,type,
    boolea2506097494486148201lgebra: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > ( X0 > X0 > X0 ) > ( X0 > X0 ) > X0 > X0 > $o ) ).

thf(func_def_228,type,
    boolea3799213064322606851m_diff: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > ( X0 > X0 > X0 ) > ( X0 > X0 ) > X0 > X0 > ( X0 > X0 > X0 ) > $o ) ).

thf(func_def_229,type,
    code_bit_cut_integer: code_integer > product_prod(code_integer,$o) ).

thf(func_def_230,type,
    code_divmod_abs: code_integer > code_integer > product_prod(code_integer,code_integer) ).

thf(func_def_231,type,
    code_divmod_integer: code_integer > code_integer > product_prod(code_integer,code_integer) ).

thf(func_def_232,type,
    code_int_of_integer: code_integer > int ).

thf(func_def_233,type,
    code_integer_of_int: int > code_integer ).

thf(func_def_234,type,
    code_integer_of_num: num > code_integer ).

thf(func_def_235,type,
    code_nat_of_integer: code_integer > nat ).

thf(func_def_236,type,
    code_num_of_integer: code_integer > num ).

thf(func_def_237,type,
    complete_Inf_Inf: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_238,type,
    complete_Sup_Sup: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_239,type,
    arg: complex > real ).

thf(func_def_240,type,
    cis: real > complex ).

thf(func_def_241,type,
    cnj: complex > complex ).

thf(func_def_242,type,
    complex2: real > real > complex ).

thf(func_def_243,type,
    im: complex > real ).

thf(func_def_244,type,
    re: complex > real ).

thf(func_def_245,type,
    csqrt: complex > complex ).

thf(func_def_246,type,
    imaginary_unit: complex ).

thf(func_def_247,type,
    condit941137186595557371_above: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

thf(func_def_248,type,
    condit1013018076250108175_below: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

thf(func_def_249,type,
    countable_to_nat_on: 
      !>[X0: $tType] : ( set(X0) > X0 > nat ) ).

thf(func_def_250,type,
    differentiable: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > filter(X0) > $o ) ).

thf(func_def_251,type,
    has_derivative: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > X1 ) > filter(X0) > $o ) ).

thf(func_def_252,type,
    has_field_derivative: 
      !>[X0: $tType] : ( ( X0 > X0 ) > X0 > filter(X0) > $o ) ).

thf(func_def_253,type,
    adjust_div: product_prod(int,int) > int ).

thf(func_def_254,type,
    adjust_mod: int > int > int ).

thf(func_def_255,type,
    divmod_nat: nat > nat > product_prod(nat,nat) ).

thf(func_def_256,type,
    eucl_rel_int: int > int > product_prod(int,int) > $o ).

thf(func_def_257,type,
    unique5940410009612947441es_aux: 
      !>[X0: $tType] : ( product_prod(X0,X0) > $o ) ).

thf(func_def_258,type,
    unique8689654367752047608divmod: 
      !>[X0: $tType] : ( num > num > product_prod(X0,X0) ) ).

thf(func_def_259,type,
    unique1321980374590559556d_step: 
      !>[X0: $tType] : ( num > product_prod(X0,X0) > product_prod(X0,X0) ) ).

thf(func_def_260,type,
    comm_s3205402744901411588hammer: 
      !>[X0: $tType] : ( X0 > nat > X0 ) ).

thf(func_def_261,type,
    semiring_char_0_fact: 
      !>[X0: $tType] : ( nat > X0 ) ).

thf(func_def_262,type,
    inverse_inverse: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_263,type,
    at_bot: 
      !>[X0: $tType] : filter(X0) ).

thf(func_def_264,type,
    at_top: 
      !>[X0: $tType] : filter(X0) ).

thf(func_def_265,type,
    eventually: 
      !>[X0: $tType] : ( ( X0 > $o ) > filter(X0) > $o ) ).

thf(func_def_266,type,
    filtercomap: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > filter(X1) > filter(X0) ) ).

thf(func_def_267,type,
    filterlim: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > filter(X1) > filter(X0) > $o ) ).

thf(func_def_268,type,
    filtermap: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > filter(X0) > filter(X1) ) ).

thf(func_def_269,type,
    map_filter_on: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > ( X0 > X1 ) > filter(X0) > filter(X1) ) ).

thf(func_def_270,type,
    principal: 
      !>[X0: $tType] : ( set(X0) > filter(X0) ) ).

thf(func_def_271,type,
    prod_filter: 
      !>[X0: $tType,X1: $tType] : ( filter(X0) > filter(X1) > filter(product_prod(X0,X1)) ) ).

thf(func_def_272,type,
    finite_Fpow: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

thf(func_def_273,type,
    finite_card: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

thf(func_def_274,type,
    finite_finite2: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

thf(func_def_275,type,
    bij_betw: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > set(X1) > $o ) ).

thf(func_def_276,type,
    comp: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 ) > ( X2 > X0 ) > X2 > X1 ) ).

thf(func_def_277,type,
    inj_on: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > $o ) ).

thf(func_def_278,type,
    strict_mono_on: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > $o ) ).

thf(func_def_279,type,
    the_inv_into: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > ( X0 > X1 ) > X1 > X0 ) ).

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

thf(func_def_281,type,
    bezw: nat > nat > product_prod(int,int) ).

thf(func_def_282,type,
    bezw_rel: product_prod(nat,nat) > product_prod(nat,nat) > $o ).

thf(func_def_283,type,
    gcd_gcd: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_284,type,
    gcd_nat_rel: product_prod(nat,nat) > product_prod(nat,nat) > $o ).

thf(func_def_285,type,
    semiri4206861660011772517g_char: 
      !>[X0: $tType] : ( itself(X0) > nat ) ).

thf(func_def_286,type,
    abs_abs: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_287,type,
    minus_minus: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_288,type,
    one_one: 
      !>[X0: $tType] : X0 ).

thf(func_def_289,type,
    plus_plus: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_290,type,
    sgn_sgn: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_291,type,
    times_times: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_292,type,
    uminus_uminus: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_293,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

thf(func_def_294,type,
    groups7311177749621191930dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > X1 ) ).

thf(func_def_295,type,
    groups1027152243600224163dd_sum: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > X1 ) ).

thf(func_def_296,type,
    groups7121269368397514597t_prod: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > X1 ) ).

thf(func_def_297,type,
    groups4207007520872428315er_sum: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X1 > list(X0) > X1 ) ).

thf(func_def_298,type,
    nO_MATCH: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > $o ) ).

thf(func_def_299,type,
    the: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_300,type,
    if: 
      !>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).

thf(func_def_301,type,
    abs_Integ: product_prod(nat,nat) > int ).

thf(func_def_302,type,
    rep_Integ: int > product_prod(nat,nat) ).

thf(func_def_303,type,
    int_ge_less_than: int > set(product_prod(int,int)) ).

thf(func_def_304,type,
    int_ge_less_than2: int > set(product_prod(int,int)) ).

thf(func_def_305,type,
    nat2: int > nat ).

thf(func_def_306,type,
    ring_1_Ints: 
      !>[X0: $tType] : set(X0) ).

thf(func_def_307,type,
    ring_1_of_int: 
      !>[X0: $tType] : ( int > X0 ) ).

thf(func_def_308,type,
    inf_inf: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_309,type,
    semila1105856199041335345_order: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 > ( X0 > X0 > $o ) > ( X0 > X0 > $o ) > $o ) ).

thf(func_def_310,type,
    sup_sup: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_311,type,
    lattices_Min: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > set(X0) > X0 ) ).

thf(func_def_312,type,
    lattic643756798349783984er_Max: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_313,type,
    lattic7623131987881927897min_on: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_314,type,
    bfun: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > filter(X0) > $o ) ).

thf(func_def_315,type,
    at_infinity: 
      !>[X0: $tType] : filter(X0) ).

thf(func_def_316,type,
    append: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).

thf(func_def_317,type,
    concat: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

thf(func_def_318,type,
    count_list: 
      !>[X0: $tType] : ( list(X0) > X0 > nat ) ).

thf(func_def_319,type,
    distinct: 
      !>[X0: $tType] : ( list(X0) > $o ) ).

thf(func_def_320,type,
    drop: 
      !>[X0: $tType] : ( nat > list(X0) > list(X0) ) ).

thf(func_def_321,type,
    enumerate: 
      !>[X0: $tType] : ( nat > list(X0) > list(product_prod(nat,X0)) ) ).

thf(func_def_322,type,
    extract: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > option(product_prod(list(X0),product_prod(X0,list(X0)))) ) ).

thf(func_def_323,type,
    lenlex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

thf(func_def_324,type,
    lex: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

thf(func_def_325,type,
    lexn: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > nat > set(product_prod(list(X0),list(X0))) ) ).

thf(func_def_326,type,
    lexord: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

thf(func_def_327,type,
    lexordp: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > list(X0) > list(X0) > $o ) ).

thf(func_def_328,type,
    cons: 
      !>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).

thf(func_def_329,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

thf(func_def_330,type,
    hd: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

thf(func_def_331,type,
    set2: 
      !>[X0: $tType] : ( list(X0) > set(X0) ) ).

thf(func_def_332,type,
    size_list: 
      !>[X0: $tType] : ( ( X0 > nat ) > list(X0) > nat ) ).

thf(func_def_333,type,
    list_update: 
      !>[X0: $tType] : ( list(X0) > nat > X0 > list(X0) ) ).

thf(func_def_334,type,
    listrel1: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(list(X0),list(X0))) ) ).

thf(func_def_335,type,
    listrel1p: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > list(X0) > list(X0) > $o ) ).

thf(func_def_336,type,
    listset: 
      !>[X0: $tType] : ( list(set(X0)) > set(list(X0)) ) ).

thf(func_def_337,type,
    n_lists: 
      !>[X0: $tType] : ( nat > list(X0) > list(list(X0)) ) ).

thf(func_def_338,type,
    nth: 
      !>[X0: $tType] : ( list(X0) > nat > X0 ) ).

thf(func_def_339,type,
    product: 
      !>[X0: $tType,X1: $tType] : ( list(X0) > list(X1) > list(product_prod(X0,X1)) ) ).

thf(func_def_340,type,
    product_lists: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

thf(func_def_341,type,
    remdups: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

thf(func_def_342,type,
    remdups_adj: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

thf(func_def_343,type,
    remove1: 
      !>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).

thf(func_def_344,type,
    removeAll: 
      !>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).

thf(func_def_345,type,
    replicate: 
      !>[X0: $tType] : ( nat > X0 > list(X0) ) ).

thf(func_def_346,type,
    rotate1: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

thf(func_def_347,type,
    set_Cons: 
      !>[X0: $tType] : ( set(X0) > set(list(X0)) > set(list(X0)) ) ).

thf(func_def_348,type,
    shuffles: 
      !>[X0: $tType] : ( list(X0) > list(X0) > set(list(X0)) ) ).

thf(func_def_349,type,
    subseqs: 
      !>[X0: $tType] : ( list(X0) > list(list(X0)) ) ).

thf(func_def_350,type,
    take: 
      !>[X0: $tType] : ( nat > list(X0) > list(X0) ) ).

thf(func_def_351,type,
    union: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).

thf(func_def_352,type,
    upto: int > int > list(int) ).

thf(func_def_353,type,
    upto_aux: int > int > list(int) > list(int) ).

thf(func_def_354,type,
    upto_rel: product_prod(int,int) > product_prod(int,int) > $o ).

thf(func_def_355,type,
    suc: nat > nat ).

thf(func_def_356,type,
    compow: 
      !>[X0: $tType] : ( nat > X0 > X0 ) ).

thf(func_def_357,type,
    funpow: 
      !>[X0: $tType] : ( nat > ( X0 > X0 ) > X0 > X0 ) ).

thf(func_def_358,type,
    case_nat: 
      !>[X0: $tType] : ( X0 > ( nat > X0 ) > nat > X0 ) ).

thf(func_def_359,type,
    pred: nat > nat ).

thf(func_def_360,type,
    rec_nat: 
      !>[X0: $tType] : ( X0 > ( nat > X0 > X0 ) > nat > X0 ) ).

thf(func_def_361,type,
    rec_set_nat: 
      !>[X0: $tType] : ( X0 > ( nat > X0 > X0 ) > nat > X0 > $o ) ).

thf(func_def_362,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : ( nat > X0 ) ).

thf(func_def_363,type,
    semiri8178284476397505188at_aux: 
      !>[X0: $tType] : ( ( X0 > X0 ) > nat > X0 > X0 ) ).

thf(func_def_364,type,
    size_size: 
      !>[X0: $tType] : ( X0 > nat ) ).

thf(func_def_365,type,
    nat_prod_decode_aux: nat > nat > product_prod(nat,nat) ).

thf(func_def_366,type,
    nat_pr5047031295181774490ux_rel: product_prod(nat,nat) > product_prod(nat,nat) > $o ).

thf(func_def_367,type,
    nat_prod_encode: product_prod(nat,nat) > nat ).

thf(func_def_368,type,
    nat_set_decode: nat > set(nat) ).

thf(func_def_369,type,
    nat_set_encode: set(nat) > nat ).

thf(func_def_370,type,
    nat_triangle: nat > nat ).

thf(func_def_371,type,
    root: nat > real > real ).

thf(func_def_372,type,
    sqrt: real > real ).

thf(func_def_373,type,
    bitM: num > num ).

thf(func_def_374,type,
    inc: num > num ).

thf(func_def_375,type,
    neg_numeral_dbl: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_376,type,
    neg_numeral_dbl_dec: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_377,type,
    neg_numeral_dbl_inc: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_378,type,
    neg_numeral_sub: 
      !>[X0: $tType] : ( num > num > X0 ) ).

thf(func_def_379,type,
    bit0: num > num ).

thf(func_def_380,type,
    bit1: num > num ).

thf(func_def_381,type,
    one2: num ).

thf(func_def_382,type,
    case_num: 
      !>[X0: $tType] : ( X0 > ( num > X0 ) > ( num > X0 ) > num > X0 ) ).

thf(func_def_383,type,
    size_num: num > nat ).

thf(func_def_384,type,
    num_of_nat: nat > num ).

thf(func_def_385,type,
    numeral_numeral: 
      !>[X0: $tType] : ( num > X0 ) ).

thf(func_def_386,type,
    pow: num > num > num ).

thf(func_def_387,type,
    pred_numeral: num > nat ).

thf(func_def_388,type,
    none: 
      !>[X0: $tType] : option(X0) ).

thf(func_def_389,type,
    some: 
      !>[X0: $tType] : ( X0 > option(X0) ) ).

thf(func_def_390,type,
    case_option: 
      !>[X0: $tType,X1: $tType] : ( X0 > ( X1 > X0 ) > option(X1) > X0 ) ).

thf(func_def_391,type,
    map_option: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > option(X0) > option(X1) ) ).

thf(func_def_392,type,
    rec_option: 
      !>[X0: $tType,X1: $tType] : ( X0 > ( X1 > X0 ) > option(X1) > X0 ) ).

thf(func_def_393,type,
    size_option: 
      !>[X0: $tType] : ( ( X0 > nat ) > option(X0) > nat ) ).

thf(func_def_394,type,
    the2: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

thf(func_def_395,type,
    these: 
      !>[X0: $tType] : ( set(option(X0)) > set(X0) ) ).

thf(func_def_396,type,
    order_532582986084564980_cclfp: 
      !>[X0: $tType] : ( ( X0 > X0 ) > X0 ) ).

thf(func_def_397,type,
    bot_bot: 
      !>[X0: $tType] : X0 ).

thf(func_def_398,type,
    least: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_399,type,
    ord_less: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_400,type,
    ord_less_eq: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_401,type,
    ord_max: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_402,type,
    order_Greatest: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_403,type,
    order_antimono: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > $o ) ).

thf(func_def_404,type,
    order_mono: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > $o ) ).

thf(func_def_405,type,
    order_strict_mono: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > $o ) ).

thf(func_def_406,type,
    top_top: 
      !>[X0: $tType] : X0 ).

thf(func_def_407,type,
    power_power: 
      !>[X0: $tType] : ( X0 > nat > X0 ) ).

thf(func_def_408,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > product_prod(X0,X1) ) ).

thf(func_def_409,type,
    product_apfst: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 ) > product_prod(X0,X2) > product_prod(X1,X2) ) ).

thf(func_def_410,type,
    product_apsnd: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 ) > product_prod(X2,X0) > product_prod(X2,X1) ) ).

thf(func_def_411,type,
    product_rec_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > product_prod(X0,X1) > X2 ) ).

thf(func_def_412,type,
    product_rec_set_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > product_prod(X0,X1) > X2 > $o ) ).

thf(func_def_413,type,
    product_case_prod: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > product_prod(X0,X1) > X2 ) ).

thf(func_def_414,type,
    product_fst: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

thf(func_def_415,type,
    product_snd: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

thf(func_def_416,type,
    frct: product_prod(int,int) > rat ).

thf(func_def_417,type,
    normalize: product_prod(int,int) > product_prod(int,int) ).

thf(func_def_418,type,
    of_int: int > rat ).

thf(func_def_419,type,
    quotient_of: rat > product_prod(int,int) ).

thf(func_def_420,type,
    real_Vector_Reals: 
      !>[X0: $tType] : set(X0) ).

thf(func_def_421,type,
    real_V3181309239436604168linear: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > $o ) ).

thf(func_def_422,type,
    real_V4916620083959148203axioms: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > $o ) ).

thf(func_def_423,type,
    real_V557655796197034286t_dist: 
      !>[X0: $tType] : ( X0 > X0 > real ) ).

thf(func_def_424,type,
    real_V7770717601297561774m_norm: 
      !>[X0: $tType] : ( X0 > real ) ).

thf(func_def_425,type,
    real_Vector_of_real: 
      !>[X0: $tType] : ( real > X0 ) ).

thf(func_def_426,type,
    real_V8093663219630862766scaleR: 
      !>[X0: $tType] : ( real > X0 > X0 ) ).

thf(func_def_427,type,
    irrefl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > $o ) ).

thf(func_def_428,type,
    divide_divide: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_429,type,
    dvd_dvd: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_430,type,
    modulo_modulo: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_431,type,
    zero_neq_one_of_bool: 
      !>[X0: $tType] : ( $o > X0 ) ).

thf(func_def_432,type,
    suminf: 
      !>[X0: $tType] : ( ( nat > X0 ) > X0 ) ).

thf(func_def_433,type,
    summable: 
      !>[X0: $tType] : ( ( nat > X0 ) > $o ) ).

thf(func_def_434,type,
    sums: 
      !>[X0: $tType] : ( ( nat > X0 ) > X0 > $o ) ).

thf(func_def_435,type,
    ball: 
      !>[X0: $tType] : ( set(X0) > ( X0 > $o ) > $o ) ).

thf(func_def_436,type,
    collect: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(X0) ) ).

thf(func_def_437,type,
    pow2: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

thf(func_def_438,type,
    image: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > set(X1) ) ).

thf(func_def_439,type,
    insert: 
      !>[X0: $tType] : ( X0 > set(X0) > set(X0) ) ).

thf(func_def_440,type,
    the_elem: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_441,type,
    set_fo6178422350223883121st_nat: 
      !>[X0: $tType] : ( ( nat > X0 > X0 ) > nat > nat > X0 > X0 ) ).

thf(func_def_442,type,
    set_ord_atLeast: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

thf(func_def_443,type,
    set_or1337092689740270186AtMost: 
      !>[X0: $tType] : ( X0 > X0 > set(X0) ) ).

thf(func_def_444,type,
    set_or7035219750837199246ssThan: 
      !>[X0: $tType] : ( X0 > X0 > set(X0) ) ).

thf(func_def_445,type,
    set_ord_atMost: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

thf(func_def_446,type,
    set_ord_greaterThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

thf(func_def_447,type,
    set_or3652927894154168847AtMost: 
      !>[X0: $tType] : ( X0 > X0 > set(X0) ) ).

thf(func_def_448,type,
    set_or5935395276787703475ssThan: 
      !>[X0: $tType] : ( X0 > X0 > set(X0) ) ).

thf(func_def_449,type,
    set_ord_lessThan: 
      !>[X0: $tType] : ( X0 > set(X0) ) ).

thf(func_def_450,type,
    ascii_of: char > char ).

thf(func_def_451,type,
    char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).

thf(func_def_452,type,
    char_of_integer: code_integer > char ).

thf(func_def_453,type,
    comm_s6883823935334413003f_char: 
      !>[X0: $tType] : ( char > X0 ) ).

thf(func_def_454,type,
    integer_of_char: char > code_integer ).

thf(func_def_455,type,
    unique5772411509450598832har_of: 
      !>[X0: $tType] : ( X0 > char ) ).

thf(func_def_456,type,
    topolo3448309680560233919inuous: 
      !>[X0: $tType,X1: $tType] : ( filter(X0) > ( X0 > X1 ) > $o ) ).

thf(func_def_457,type,
    topolo81223032696312382ous_on: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > ( X0 > X1 ) > $o ) ).

thf(func_def_458,type,
    topolo8378437560675496660pology: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) > $o ) ).

thf(func_def_459,type,
    topological_monoseq: 
      !>[X0: $tType] : ( ( nat > X0 ) > $o ) ).

thf(func_def_460,type,
    topolo1002775350975398744n_open: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

thf(func_def_461,type,
    topolo3827282254853284352ce_Lim: 
      !>[X0: $tType,X1: $tType] : ( filter(X0) > ( X0 > X1 ) > X1 ) ).

thf(func_def_462,type,
    topolo174197925503356063within: 
      !>[X0: $tType] : ( X0 > set(X0) > filter(X0) ) ).

thf(func_def_463,type,
    topolo7761053866217962861closed: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

thf(func_def_464,type,
    topolo2193935891317330818ompact: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

thf(func_def_465,type,
    topolo7230453075368039082e_nhds: 
      !>[X0: $tType] : ( X0 > filter(X0) ) ).

thf(func_def_466,type,
    topolo3814608138187158403Cauchy: 
      !>[X0: $tType] : ( ( nat > X0 ) > $o ) ).

thf(func_def_467,type,
    topolo6773858410816713723filter: 
      !>[X0: $tType] : ( filter(X0) > $o ) ).

thf(func_def_468,type,
    topolo6688025880775521714ounded: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

thf(func_def_469,type,
    topolo7806501430040627800ormity: 
      !>[X0: $tType] : filter(product_prod(X0,X0)) ).

thf(func_def_470,type,
    topolo6026614971017936543ous_on: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > ( X0 > X1 ) > $o ) ).

thf(func_def_471,type,
    arccos: real > real ).

thf(func_def_472,type,
    arcosh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_473,type,
    arcsin: real > real ).

thf(func_def_474,type,
    arctan: real > real ).

thf(func_def_475,type,
    arsinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_476,type,
    artanh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_477,type,
    cos: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_478,type,
    cos_coeff: nat > real ).

thf(func_def_479,type,
    cosh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_480,type,
    cot: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_481,type,
    diffs: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > X0 ) ).

thf(func_def_482,type,
    exp: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_483,type,
    ln_ln: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_484,type,
    log: real > real > real ).

thf(func_def_485,type,
    pi: real ).

thf(func_def_486,type,
    powr: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_487,type,
    sin: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_488,type,
    sin_coeff: nat > real ).

thf(func_def_489,type,
    sinh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_490,type,
    tan: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_491,type,
    tanh: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_492,type,
    transitive_ntrancl: 
      !>[X0: $tType] : ( nat > set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

thf(func_def_493,type,
    transitive_rtrancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

thf(func_def_494,type,
    transitive_trancl: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

thf(func_def_495,type,
    vEBT_Leaf: $o > $o > vEBT_VEBT ).

thf(func_def_496,type,
    vEBT_Node: option(product_prod(nat,nat)) > nat > list(vEBT_VEBT) > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_497,type,
    vEBT_size_VEBT: vEBT_VEBT > nat ).

thf(func_def_498,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).

thf(func_def_499,type,
    vEBT_VEBT_high: nat > nat > nat ).

thf(func_def_500,type,
    vEBT_V5917875025757280293ildren: nat > list(vEBT_VEBT) > nat > $o ).

thf(func_def_501,type,
    vEBT_VEBT_low: nat > nat > nat ).

thf(func_def_502,type,
    vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).

thf(func_def_503,type,
    vEBT_V4351362008482014158ma_rel: product_prod(vEBT_VEBT,nat) > product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_504,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).

thf(func_def_505,type,
    vEBT_V5765760719290551771er_rel: product_prod(vEBT_VEBT,nat) > product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_506,type,
    vEBT_VEBT_valid: vEBT_VEBT > nat > $o ).

thf(func_def_507,type,
    vEBT_VEBT_valid_rel: product_prod(vEBT_VEBT,nat) > product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_508,type,
    vEBT_invar_vebt: vEBT_VEBT > nat > $o ).

thf(func_def_509,type,
    vEBT_set_vebt: vEBT_VEBT > set(nat) ).

thf(func_def_510,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

thf(func_def_511,type,
    vEBT_v4011308405150292612up_rel: nat > nat > $o ).

thf(func_def_512,type,
    vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_513,type,
    vEBT_vebt_delete_rel: product_prod(vEBT_VEBT,nat) > product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_514,type,
    vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_515,type,
    vEBT_vebt_insert_rel: product_prod(vEBT_VEBT,nat) > product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_516,type,
    vEBT_VEBT_bit_concat: nat > nat > nat > nat ).

thf(func_def_517,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

thf(func_def_518,type,
    vEBT_V6963167321098673237ll_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_519,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set(nat) ).

thf(func_def_520,type,
    vEBT_vebt_member: vEBT_VEBT > nat > $o ).

thf(func_def_521,type,
    vEBT_vebt_member_rel: product_prod(vEBT_VEBT,nat) > product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_522,type,
    vEBT_VEBT_add: option(nat) > option(nat) > option(nat) ).

thf(func_def_523,type,
    vEBT_VEBT_greater: option(nat) > option(nat) > $o ).

thf(func_def_524,type,
    vEBT_VEBT_less: option(nat) > option(nat) > $o ).

thf(func_def_525,type,
    vEBT_VEBT_lesseq: option(nat) > option(nat) > $o ).

thf(func_def_526,type,
    vEBT_VEBT_max_in_set: set(nat) > nat > $o ).

thf(func_def_527,type,
    vEBT_VEBT_min_in_set: set(nat) > nat > $o ).

thf(func_def_528,type,
    vEBT_VEBT_mul: option(nat) > option(nat) > option(nat) ).

thf(func_def_529,type,
    vEBT_V2048590022279873568_shift: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > option(X0) > option(X0) > option(X0) ) ).

thf(func_def_530,type,
    vEBT_VEBT_power: option(nat) > option(nat) > option(nat) ).

thf(func_def_531,type,
    vEBT_vebt_maxt: vEBT_VEBT > option(nat) ).

thf(func_def_532,type,
    vEBT_vebt_maxt_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_533,type,
    vEBT_vebt_mint: vEBT_VEBT > option(nat) ).

thf(func_def_534,type,
    vEBT_vebt_mint_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_535,type,
    vEBT_is_pred_in_set: set(nat) > nat > nat > $o ).

thf(func_def_536,type,
    vEBT_vebt_pred: vEBT_VEBT > nat > option(nat) ).

thf(func_def_537,type,
    vEBT_vebt_pred_rel: product_prod(vEBT_VEBT,nat) > product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_538,type,
    vEBT_is_succ_in_set: set(nat) > nat > nat > $o ).

thf(func_def_539,type,
    vEBT_vebt_succ: vEBT_VEBT > nat > option(nat) ).

thf(func_def_540,type,
    vEBT_vebt_succ_rel: product_prod(vEBT_VEBT,nat) > product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_541,type,
    accp: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 > $o ) ).

thf(func_def_542,type,
    finite_psubset: 
      !>[X0: $tType] : set(product_prod(set(X0),set(X0))) ).

thf(func_def_543,type,
    lex_prod: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X0,X0)) > set(product_prod(X1,X1)) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

thf(func_def_544,type,
    measure: 
      !>[X0: $tType] : ( ( X0 > nat ) > set(product_prod(X0,X0)) ) ).

thf(func_def_545,type,
    mlex_prod: 
      !>[X0: $tType] : ( ( X0 > nat ) > set(product_prod(X0,X0)) > set(product_prod(X0,X0)) ) ).

thf(func_def_546,type,
    same_fst: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > $o ) > ( X0 > set(product_prod(X1,X1)) ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) ) ).

thf(func_def_547,type,
    fChoice: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_548,type,
    member: 
      !>[X0: $tType] : ( X0 > set(X0) > $o ) ).

thf(func_def_549,type,
    deg: nat ).

thf(func_def_550,type,
    lx: nat ).

thf(func_def_551,type,
    m: nat ).

thf(func_def_552,type,
    ma: nat ).

thf(func_def_553,type,
    maxi: nat ).

thf(func_def_554,type,
    maxs: nat ).

thf(func_def_555,type,
    mi: nat ).

thf(func_def_556,type,
    na: nat ).

thf(func_def_557,type,
    summary: vEBT_VEBT ).

thf(func_def_558,type,
    summin: nat ).

thf(func_def_559,type,
    treeList: list(vEBT_VEBT) ).

thf(func_def_560,type,
    xa: nat ).

thf(func_def_561,type,
    ya: nat ).

thf(func_def_565,type,
    kCOMB: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).

thf(func_def_566,type,
    bCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_567,type,
    cCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).

thf(func_def_568,type,
    vAND: $o > $o > $o ).

thf(func_def_569,type,
    sCOMB: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).

thf(func_def_570,type,
    iCOMB: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_571,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_572,type,
    vIMP: $o > $o > $o ).

thf(func_def_573,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_574,type,
    vOR: $o > $o > $o ).

thf(func_def_575,type,
    vNOT: $o > $o ).

thf(func_def_576,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_577,type,
    sP0: 
      !>[X0: $tType] : ( X0 > X0 > ( X0 > $o ) > $o ) ).

thf(func_def_578,type,
    sP1: 
      !>[X0: $tType] : ( X0 > X0 > ( X0 > $o ) > $o ) ).

thf(func_def_579,type,
    sP2: vEBT_VEBT > $o ).

thf(func_def_580,type,
    sP3: set(real) > $o ).

thf(func_def_581,type,
    sP4: 
      !>[X0: $tType] : ( set(X0) > set(X0) > $o ) ).

thf(func_def_582,type,
    sP5: 
      !>[X0: $tType] : ( X0 > set(X0) > $o ) ).

thf(func_def_583,type,
    sP6: 
      !>[X0: $tType] : ( set(X0) > $o ) ).

thf(func_def_584,type,
    sP7: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 > $o ) ).

thf(func_def_585,type,
    sP8: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_586,type,
    sP9: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_587,type,
    sP10: 
      !>[X0: $tType] : ( real > real > ( real > X0 ) > $o ) ).

thf(func_def_588,type,
    sP11: 
      !>[X0: $tType] : ( real > real > ( real > X0 ) > $o ) ).

thf(func_def_589,type,
    sP12: 
      !>[X0: $tType] : ( real > real > ( real > X0 ) > $o ) ).

thf(func_def_590,type,
    sP13: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > $o ) ).

thf(func_def_591,type,
    sP14: 
      !>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).

thf(func_def_592,type,
    sP15: 
      !>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).

thf(func_def_593,type,
    sP16: 
      !>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).

thf(func_def_594,type,
    sP17: 
      !>[X0: $tType] : ( X0 > X0 > X0 > $o ) ).

thf(func_def_595,type,
    sP18: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > $o ) ).

thf(func_def_596,type,
    sP19: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) > $o ) ).

thf(func_def_597,type,
    sP20: 
      !>[X0: $tType] : ( set(X0) > ( X0 > real ) > $o ) ).

thf(func_def_598,type,
    sP21: vEBT_VEBT > $o > $o ).

thf(func_def_599,type,
    sP22: vEBT_VEBT > $o > $o ).

thf(func_def_600,type,
    sP23: vEBT_VEBT > $o > $o ).

thf(func_def_601,type,
    sP24: vEBT_VEBT > $o > $o ).

thf(func_def_602,type,
    sP25: vEBT_VEBT > $o > $o ).

thf(func_def_603,type,
    sP26: vEBT_VEBT > $o > $o ).

thf(func_def_604,type,
    sP27: vEBT_VEBT > $o > $o ).

thf(func_def_605,type,
    sP28: nat > vEBT_VEBT > $o ).

thf(func_def_606,type,
    sP29: nat > vEBT_VEBT > $o ).

thf(func_def_607,type,
    sP30: nat > vEBT_VEBT > $o ).

thf(func_def_608,type,
    sP31: vEBT_VEBT > option(nat) > $o ).

thf(func_def_609,type,
    sP32: $o > $o > option(nat) > $o ).

thf(func_def_610,type,
    sP33: vEBT_VEBT > option(nat) > $o ).

thf(func_def_611,type,
    sP34: vEBT_VEBT > option(nat) > $o ).

thf(func_def_612,type,
    sP35: vEBT_VEBT > option(nat) > $o ).

thf(func_def_613,type,
    sP36: $o > $o > option(nat) > $o ).

thf(func_def_614,type,
    sP37: vEBT_VEBT > option(nat) > $o ).

thf(func_def_615,type,
    sP38: vEBT_VEBT > option(nat) > $o ).

thf(func_def_616,type,
    sP39: 
      !>[X0: $tType,X1: $tType] : ( X1 > X1 > ( X1 > X0 ) > X0 > $o ) ).

thf(func_def_617,type,
    sP40: 
      !>[X0: $tType,X1: $tType] : ( X1 > X1 > ( X1 > X0 ) > X0 > $o ) ).

thf(func_def_618,type,
    sP41: 
      !>[X0: $tType,X1: $tType] : ( X0 > X0 > ( X0 > X1 ) > $o ) ).

thf(func_def_619,type,
    sP42: 
      !>[X0: $tType,X1: $tType] : ( X0 > X0 > ( X0 > X1 ) > $o ) ).

thf(func_def_620,type,
    sP43: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > $o ) ).

thf(func_def_621,type,
    sP44: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X0 > X1 ) > ( X1 > X0 ) > $o ) ).

thf(func_def_622,type,
    sP45: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > $o ) ).

thf(func_def_623,type,
    sP46: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X0 > X1 ) > ( X1 > X0 ) > $o ) ).

thf(func_def_624,type,
    sP47: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > $o ) ).

thf(func_def_625,type,
    sP48: $o > nat > $o ).

thf(func_def_626,type,
    sP49: vEBT_VEBT > nat > $o ).

thf(func_def_627,type,
    sP50: $o > nat > $o ).

thf(func_def_628,type,
    sP51: vEBT_VEBT > nat > $o ).

thf(func_def_629,type,
    sP52: vEBT_VEBT > nat > $o ).

thf(func_def_630,type,
    sP53: vEBT_VEBT > nat > $o ).

thf(func_def_631,type,
    sP54: vEBT_VEBT > nat > $o ).

thf(func_def_632,type,
    sP55: nat > nat > list(vEBT_VEBT) > $o ).

thf(func_def_633,type,
    sP56: vEBT_VEBT > nat > $o ).

thf(func_def_634,type,
    sP57: vEBT_VEBT > nat > $o ).

thf(func_def_635,type,
    sP58: nat > nat > list(vEBT_VEBT) > $o ).

thf(func_def_636,type,
    sP59: vEBT_VEBT > nat > $o ).

thf(func_def_637,type,
    sP60: vEBT_VEBT > nat > $o ).

thf(func_def_638,type,
    sP61: vEBT_VEBT > nat > $o ).

thf(func_def_639,type,
    sP62: $o > nat > $o ).

thf(func_def_640,type,
    sP63: nat > nat > nat > nat > list(vEBT_VEBT) > $o ).

thf(func_def_641,type,
    sP64: vEBT_VEBT > nat > $o ).

thf(func_def_642,type,
    sP65: $o > nat > $o ).

thf(func_def_643,type,
    sP66: nat > nat > nat > nat > list(vEBT_VEBT) > $o ).

thf(func_def_644,type,
    sP67: vEBT_VEBT > nat > $o ).

thf(func_def_645,type,
    sP68: vEBT_VEBT > nat > $o ).

thf(func_def_646,type,
    sP69: vEBT_VEBT > nat > $o ).

thf(func_def_647,type,
    sP70: ( real > $o ) > $o ).

thf(func_def_648,type,
    sP71: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > $o ) ).

thf(func_def_649,type,
    sP72: 
      !>[X0: $tType,X1: $tType] : ( set(set(X0)) > ( X0 > X1 ) > $o ) ).

thf(func_def_650,type,
    sP73: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > $o ) ).

thf(func_def_651,type,
    sP74: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > $o ) ).

thf(func_def_652,type,
    sP75: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > $o ) ).

thf(func_def_653,type,
    sP76: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > $o ) ).

thf(func_def_654,type,
    sP77: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > $o ) ).

thf(func_def_655,type,
    sP78: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X0) > ( X1 > set(X0) ) > $o ) ).

thf(func_def_656,type,
    sP79: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X0) > ( X1 > set(X0) ) > $o ) ).

thf(func_def_657,type,
    sP80: ( int > $o ) > $o ).

thf(func_def_658,type,
    sP81: ( nat > $o ) > $o ).

thf(func_def_659,type,
    sP82: 
      !>[X0: $tType] : ( list(list(X0)) > $o ) ).

thf(func_def_660,type,
    sP83: vEBT_VEBT > nat > $o ).

thf(func_def_661,type,
    sP84: $o > nat > $o ).

thf(func_def_662,type,
    sP85: vEBT_VEBT > nat > $o ).

thf(func_def_663,type,
    sP86: vEBT_VEBT > nat > $o ).

thf(func_def_664,type,
    sP87: vEBT_VEBT > nat > $o ).

thf(func_def_665,type,
    sP88: vEBT_VEBT > nat > $o ).

thf(func_def_666,type,
    sP89: vEBT_VEBT > nat > $o ).

thf(func_def_667,type,
    sP90: vEBT_VEBT > nat > $o ).

thf(func_def_668,type,
    sP91: vEBT_VEBT > nat > $o ).

thf(func_def_669,type,
    sP92: nat > nat > nat > nat > list(vEBT_VEBT) > $o ).

thf(func_def_670,type,
    sP93: vEBT_VEBT > nat > $o ).

thf(func_def_671,type,
    sP94: $o > nat > $o ).

thf(func_def_672,type,
    sP95: nat > nat > nat > nat > list(vEBT_VEBT) > $o ).

thf(func_def_673,type,
    sP96: vEBT_VEBT > nat > $o ).

thf(func_def_674,type,
    sP97: nat > list(vEBT_VEBT) > nat > nat > nat > $o ).

thf(func_def_675,type,
    sP98: nat > list(vEBT_VEBT) > nat > nat > nat > $o ).

thf(func_def_676,type,
    sP99: vEBT_VEBT > nat > $o ).

thf(func_def_677,type,
    sP100: vEBT_VEBT > nat > $o ).

thf(func_def_678,type,
    sP101: vEBT_VEBT > nat > $o ).

thf(func_def_679,type,
    sP102: vEBT_VEBT > nat > $o ).

thf(func_def_680,type,
    sP103: 
      !>[X0: $tType] : ( list(X0) > list(X0) > $o ) ).

thf(func_def_681,type,
    sP104: num > num > num > $o ).

thf(func_def_682,type,
    sP105: num > num > num > $o ).

thf(func_def_683,type,
    sP106: num > num > num > $o ).

thf(func_def_684,type,
    sP107: num > num > num > $o ).

thf(func_def_685,type,
    sP108: num > num > num > $o ).

thf(func_def_686,type,
    sP109: num > num > num > $o ).

thf(func_def_687,type,
    sP110: num > num > num > $o ).

thf(func_def_688,type,
    sP111: num > num > num > $o ).

thf(func_def_689,type,
    sP112: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_690,type,
    sP113: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_691,type,
    sP114: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_692,type,
    sP115: nat > $o > $o > vEBT_VEBT > $o ).

thf(func_def_693,type,
    sP116: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_694,type,
    sP117: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_695,type,
    sP118: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_696,type,
    sP119: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_697,type,
    sP120: nat > nat > nat > nat > list(vEBT_VEBT) > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_698,type,
    sP121: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_699,type,
    sP122: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_700,type,
    sP123: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_701,type,
    sP124: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_702,type,
    sP125: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_703,type,
    sP126: nat > nat > nat > nat > list(vEBT_VEBT) > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_704,type,
    sP127: nat > nat > nat > nat > list(vEBT_VEBT) > vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_705,type,
    sP128: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_706,type,
    sP129: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_707,type,
    sP130: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_708,type,
    sP131: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_709,type,
    sP132: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_710,type,
    sP133: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_711,type,
    sP134: vEBT_VEBT > nat > $o > $o ).

thf(func_def_712,type,
    sP135: vEBT_VEBT > $o > nat > $o ).

thf(func_def_713,type,
    sP136: vEBT_VEBT > $o > nat > $o ).

thf(func_def_714,type,
    sP137: vEBT_VEBT > $o > nat > $o ).

thf(func_def_715,type,
    sP138: vEBT_VEBT > $o > $o ).

thf(func_def_716,type,
    sP139: vEBT_VEBT > $o > $o ).

thf(func_def_717,type,
    sP140: vEBT_VEBT > nat > $o > $o ).

thf(func_def_718,type,
    sP141: vEBT_VEBT > $o > nat > $o ).

thf(func_def_719,type,
    sP142: vEBT_VEBT > $o > nat > $o ).

thf(func_def_720,type,
    sP143: vEBT_VEBT > $o > nat > $o ).

thf(func_def_721,type,
    sP144: vEBT_VEBT > $o > nat > $o ).

thf(func_def_722,type,
    sP145: vEBT_VEBT > nat > $o > $o ).

thf(func_def_723,type,
    sP146: vEBT_VEBT > $o > $o ).

thf(func_def_724,type,
    sP147: vEBT_VEBT > $o > $o ).

thf(func_def_725,type,
    sP148: vEBT_VEBT > $o > nat > $o ).

thf(func_def_726,type,
    sP149: vEBT_VEBT > $o > nat > $o ).

thf(func_def_727,type,
    sP150: vEBT_VEBT > $o > nat > $o ).

thf(func_def_728,type,
    sP151: vEBT_VEBT > $o > nat > $o ).

thf(func_def_729,type,
    sP152: num > num > option(num) > $o ).

thf(func_def_730,type,
    sP153: num > num > option(num) > $o ).

thf(func_def_731,type,
    sP154: num > num > option(num) > $o ).

thf(func_def_732,type,
    sP155: num > num > option(num) > $o ).

thf(func_def_733,type,
    sP156: num > num > option(num) > $o ).

thf(func_def_734,type,
    sP157: num > num > option(num) > $o ).

thf(func_def_735,type,
    sP158: num > num > option(num) > $o ).

thf(func_def_736,type,
    sP159: num > num > option(num) > $o ).

thf(func_def_737,type,
    sP160: num > num > option(num) > $o ).

thf(func_def_738,type,
    sP161: num > num > option(num) > $o ).

thf(func_def_739,type,
    sP162: num > num > option(num) > $o ).

thf(func_def_740,type,
    sP163: num > num > option(num) > $o ).

thf(func_def_741,type,
    sP164: num > num > option(num) > $o ).

thf(func_def_742,type,
    sP165: num > num > option(num) > $o ).

thf(func_def_743,type,
    sP166: num > num > option(num) > $o ).

thf(func_def_744,type,
    sP167: num > num > option(num) > $o ).

thf(func_def_745,type,
    sP168: num > num > option(num) > $o ).

thf(func_def_746,type,
    sP169: num > num > option(num) > $o ).

thf(func_def_747,type,
    sP170: num > num > option(num) > $o ).

thf(func_def_748,type,
    sP171: num > num > option(num) > $o ).

thf(func_def_749,type,
    sP172: num > num > option(num) > $o ).

thf(func_def_750,type,
    sP173: num > num > option(num) > $o ).

thf(func_def_751,type,
    sP174: num > num > option(num) > $o ).

thf(func_def_752,type,
    sP175: num > num > option(num) > $o ).

thf(func_def_753,type,
    sP176: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_754,type,
    sP177: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_755,type,
    sP178: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_756,type,
    sP179: vEBT_VEBT > option(nat) > $o ).

thf(func_def_757,type,
    sP180: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_758,type,
    sP181: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_759,type,
    sP182: vEBT_VEBT > option(nat) > nat > $o ).

thf(func_def_760,type,
    sP183: vEBT_VEBT > option(nat) > nat > $o ).

thf(func_def_761,type,
    sP184: vEBT_VEBT > option(nat) > nat > $o ).

thf(func_def_762,type,
    sP185: $o > $o > option(nat) > $o ).

thf(func_def_763,type,
    sP186: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_764,type,
    sP187: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_765,type,
    sP188: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_766,type,
    sP189: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_767,type,
    sP190: vEBT_VEBT > option(nat) > $o ).

thf(func_def_768,type,
    sP191: $o > $o > option(nat) > $o ).

thf(func_def_769,type,
    sP192: nat > option(nat) > $o > $o > $o ).

thf(func_def_770,type,
    sP193: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_771,type,
    sP194: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_772,type,
    sP195: vEBT_VEBT > option(nat) > nat > $o ).

thf(func_def_773,type,
    sP196: vEBT_VEBT > option(nat) > nat > $o ).

thf(func_def_774,type,
    sP197: vEBT_VEBT > option(nat) > nat > $o ).

thf(func_def_775,type,
    sP198: vEBT_VEBT > option(nat) > nat > $o ).

thf(func_def_776,type,
    sP199: nat > ( nat > $o ) > $o ).

thf(func_def_777,type,
    sP200: 
      !>[X0: $tType] : ( set(X0) > nat > $o ) ).

thf(func_def_778,type,
    sP201: 
      !>[X0: $tType] : ( nat > ( nat > set(X0) ) > $o ) ).

thf(func_def_779,type,
    sP202: nat > ( nat > nat ) > $o ).

thf(func_def_780,type,
    sP203: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > $o ) ).

thf(func_def_781,type,
    sP204: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( set(X1) > ( X0 > X2 ) > ( X1 > X0 ) > $o ) ).

thf(func_def_782,type,
    sP205: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X0 > X1 ) > ( X1 > X0 ) > $o ) ).

thf(func_def_783,type,
    sP206: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > set(X0) > set(X0) > $o ) ).

thf(func_def_784,type,
    sP207: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X0 > X1 ) > ( X1 > X0 ) > $o ) ).

thf(func_def_785,type,
    sP208: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > set(X0) > set(X0) > $o ) ).

thf(func_def_786,type,
    sP209: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > $o ) ).

thf(func_def_787,type,
    sP210: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > $o ) ).

thf(func_def_788,type,
    sP211: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X0 > X1 ) > ( X1 > X0 ) > $o ) ).

thf(func_def_789,type,
    sP212: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > set(X0) > set(X0) > $o ) ).

thf(func_def_790,type,
    sP213: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X0 > X1 ) > ( X1 > X0 ) > $o ) ).

thf(func_def_791,type,
    sP214: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > set(X0) > set(X0) > $o ) ).

thf(func_def_792,type,
    sP215: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > $o ) ).

thf(func_def_793,type,
    sP216: int > ( int > $o ) > $o ).

thf(func_def_794,type,
    sP217: 
      !>[X0: $tType] : ( set(X0) > ( set(X0) > $o ) > $o ) ).

thf(func_def_795,type,
    sP218: 
      !>[X0: $tType] : ( set(X0) > ( set(X0) > $o ) > $o ) ).

thf(func_def_796,type,
    sP219: 
      !>[X0: $tType] : ( set(set(X0)) > $o ) ).

thf(func_def_797,type,
    sP220: real > real > ( real > real ) > $o ).

thf(func_def_798,type,
    sP221: ( real > real ) > real > real > $o ).

thf(func_def_799,type,
    sP222: real > real > real > real > ( real > real ) > $o ).

thf(func_def_800,type,
    sP223: real > real > ( real > real ) > $o ).

thf(func_def_801,type,
    sP224: real > ( real > real > $o ) > $o ).

thf(func_def_802,type,
    sP225: ( real > real > $o ) > $o ).

thf(func_def_803,type,
    sP226: nat > ( nat > $o ) > $o ).

thf(func_def_804,type,
    sP227: ( nat > nat > $o ) > $o ).

thf(func_def_805,type,
    sP228: real > nat > real > $o ).

thf(func_def_806,type,
    sP229: real > nat > real > $o ).

thf(func_def_807,type,
    sP230: product_prod(int,int) > int > int > $o ).

thf(func_def_808,type,
    sP231: product_prod(int,int) > int > int > $o ).

thf(func_def_809,type,
    sP232: nat > real > ( nat > real > real ) > $o ).

thf(func_def_810,type,
    sP233: 
      !>[X0: $tType] : ( list(X0) > list(X0) > set(list(X0)) > $o ) ).

thf(func_def_811,type,
    sP234: 
      !>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > $o ) ).

thf(func_def_812,type,
    sP235: nat > nat > ( nat > int ) > $o ).

thf(func_def_813,type,
    sP236: int > set(int) > int > $o ).

thf(func_def_814,type,
    sP237: set(int) > ( int > $o ) > int > $o ).

thf(func_def_815,type,
    sP238: set(int) > ( int > $o ) > int > $o ).

thf(func_def_816,type,
    sP239: int > set(int) > int > $o ).

thf(func_def_817,type,
    sP240: set(int) > ( int > $o ) > int > $o ).

thf(func_def_818,type,
    sP241: set(int) > ( int > $o ) > int > $o ).

thf(func_def_819,type,
    sP242: int > set(int) > int > $o ).

thf(func_def_820,type,
    sP243: set(int) > ( int > $o ) > int > $o ).

thf(func_def_821,type,
    sP244: set(int) > ( int > $o ) > int > $o ).

thf(func_def_822,type,
    sP245: int > set(int) > int > $o ).

thf(func_def_823,type,
    sP246: set(int) > ( int > $o ) > int > $o ).

thf(func_def_824,type,
    sP247: set(int) > ( int > $o ) > int > $o ).

thf(func_def_825,type,
    sP248: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > $o ) ).

thf(func_def_826,type,
    sP249: 
      !>[X0: $tType] : ( set(X0) > ( set(X0) > $o ) > $o ) ).

thf(func_def_827,type,
    sP250: 
      !>[X0: $tType] : ( set(X0) > ( set(X0) > $o ) > $o ) ).

thf(func_def_828,type,
    sP251: real > real > ( real > real ) > ( real > real > real ) > $o ).

thf(func_def_829,type,
    sP252: ( real > real ) > real > ( real > real ) > real > $o ).

thf(func_def_830,type,
    sP253: real > real > ( real > real ) > $o ).

thf(func_def_831,type,
    sP254: real > real > ( real > real ) > $o ).

thf(func_def_832,type,
    sP255: real > real > ( real > real ) > $o ).

thf(func_def_833,type,
    sP256: real > real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_834,type,
    sP257: real > real > ( real > real ) > ( real > real > real ) > $o ).

thf(func_def_835,type,
    sP258: set(int) > ( int > $o ) > int > $o ).

thf(func_def_836,type,
    sP259: set(int) > ( int > $o ) > int > $o ).

thf(func_def_837,type,
    sP260: nat > real > ( nat > real > real ) > $o ).

thf(func_def_838,type,
    sP261: nat > real > ( nat > real > real ) > $o ).

thf(func_def_839,type,
    sP262: nat > real > ( nat > real > real ) > $o ).

thf(func_def_840,type,
    sP263: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) > $o ) ).

thf(func_def_841,type,
    sP264: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) > $o ) ).

thf(func_def_842,type,
    sP265: 
      !>[X0: $tType] : ( option(X0) > option(X0) > option(X0) > $o ) ).

thf(func_def_843,type,
    sP266: 
      !>[X0: $tType] : ( option(X0) > option(X0) > ( X0 > X0 > X0 ) > option(X0) > $o ) ).

thf(func_def_844,type,
    sP267: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) > option(X0) > $o ) > option(X1) > option(X0) > $o ) ).

thf(func_def_845,type,
    sP268: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > set(X1) > ( X0 > X1 > $o ) > $o ) ).

thf(func_def_846,type,
    sP269: real > real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_847,type,
    sP270: nat > nat > nat > $o ).

thf(func_def_848,type,
    sP271: 
      !>[X0: $tType] : ( nat > X0 > ( X0 > X0 > $o ) > X0 > $o ) ).

thf(func_def_849,type,
    sP272: 
      !>[X0: $tType] : ( nat > X0 > ( X0 > X0 > $o ) > X0 > $o ) ).

thf(func_def_850,type,
    sP273: 
      !>[X0: $tType] : ( X0 > set(product_prod(X0,X0)) > ( X0 > $o ) > $o ) ).

thf(func_def_851,type,
    sP274: 
      !>[X0: $tType] : ( X0 > set(product_prod(X0,X0)) > ( X0 > $o ) > $o ) ).

thf(func_def_852,type,
    sP275: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > ( X0 > X0 > $o ) > $o ) ).

thf(func_def_853,type,
    sP276: 
      !>[X0: $tType] : ( nat > X0 > X0 > set(product_prod(X0,X0)) > $o ) ).

thf(func_def_854,type,
    sP277: 
      !>[X0: $tType] : ( nat > X0 > X0 > set(product_prod(X0,X0)) > $o ) ).

thf(func_def_855,type,
    sP278: real > real > ( real > nat > real ) > ( nat > real ) > $o ).

thf(func_def_856,type,
    sP279: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > $o ) ).

thf(func_def_857,type,
    sP280: real > real > ( real > real ) > $o ).

thf(func_def_858,type,
    sP281: real > real > ( real > real ) > $o ).

thf(func_def_859,type,
    sP282: real > real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_860,type,
    sP283: real > real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_861,type,
    sP284: nat > real > real > ( nat > real > real ) > $o ).

thf(func_def_862,type,
    sP285: nat > real > real > ( nat > real > real ) > $o ).

thf(func_def_863,type,
    sP286: nat > nat > list(vEBT_VEBT) > nat > nat > $o ).

thf(func_def_864,type,
    sP287: list(vEBT_VEBT) > nat > nat > nat > nat > $o ).

thf(func_def_865,type,
    sP288: nat > list(vEBT_VEBT) > nat > nat > nat > $o ).

thf(func_def_866,type,
    sP289: nat > nat > list(vEBT_VEBT) > $o ).

thf(func_def_867,type,
    sP290: list(vEBT_VEBT) > nat > nat > nat > nat > $o ).

thf(func_def_868,type,
    sP291: nat > list(vEBT_VEBT) > nat > nat > nat > $o ).

thf(func_def_869,type,
    sP292: nat > nat > list(vEBT_VEBT) > $o ).

thf(func_def_870,type,
    sP293: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > $o ) ).

thf(func_def_871,type,
    sP294: real > real > real > $o ).

thf(func_def_872,type,
    sP295: nat > real > real > ( nat > real > real ) > $o ).

thf(func_def_873,type,
    sP296: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) > ( X1 > X0 > $o ) > $o ) ).

thf(func_def_874,type,
    sP297: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( list(X3) > list(X2) > list(X1) > list(X0) > $o ) > $o ) ).

thf(func_def_875,type,
    sP298: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( set(X1) > ( X3 > set(X2) ) > ( X1 > X3 ) > ( X2 > X0 ) > ( X1 > set(X0) ) > $o ) ).

thf(func_def_876,type,
    sK299: nat ).

thf(func_def_877,type,
    sK300: nat ).

thf(func_def_878,type,
    sK301: nat ).

thf(func_def_879,type,
    sK302: nat ).

thf(func_def_880,type,
    sK303: num > num ).

thf(func_def_881,type,
    sK304: num > num ).

thf(func_def_882,type,
    sK305: int > nat ).

thf(func_def_883,type,
    sK306: int > nat ).

thf(func_def_884,type,
    sK307: nat > nat ).

thf(func_def_885,type,
    sK308: nat > nat ).

thf(func_def_886,type,
    sK309: nat > nat ).

thf(func_def_887,type,
    sK310: nat > nat ).

thf(func_def_888,type,
    sK311: complex > real ).

thf(func_def_889,type,
    sK312: product_prod(num,num) > num ).

thf(func_def_890,type,
    sK313: product_prod(num,num) > num ).

thf(func_def_891,type,
    sK314: product_prod(num,num) > num ).

thf(func_def_892,type,
    sK315: product_prod(num,num) > num ).

thf(func_def_893,type,
    sK316: product_prod(num,num) > num ).

thf(func_def_894,type,
    sK317: product_prod(num,num) > num ).

thf(func_def_895,type,
    sK318: product_prod(num,num) > num ).

thf(func_def_896,type,
    sK319: product_prod(num,num) > num ).

thf(func_def_897,type,
    sK320: product_prod(num,num) > num ).

thf(func_def_898,type,
    sK321: product_prod(num,num) > num ).

thf(func_def_899,type,
    sK322: product_prod(num,num) > num ).

thf(func_def_900,type,
    sK323: product_prod(num,num) > num ).

thf(func_def_901,type,
    sK324: vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_902,type,
    sK325: vEBT_VEBT > nat ).

thf(func_def_903,type,
    sK326: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_904,type,
    sK327: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_905,type,
    sK328: vEBT_VEBT > nat ).

thf(func_def_906,type,
    sK329: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_907,type,
    sK330: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_908,type,
    sK331: vEBT_VEBT > $o ).

thf(func_def_909,type,
    sK332: vEBT_VEBT > $o ).

thf(func_def_910,type,
    sK333: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > X0 ) ).

thf(func_def_911,type,
    sK334: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_912,type,
    sK335: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_913,type,
    sK336: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_914,type,
    sK337: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_915,type,
    sK338: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > nat ) ).

thf(func_def_916,type,
    sK339: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > nat ) ).

thf(func_def_917,type,
    sK340: 
      !>[X0: $tType] : ( X0 > X0 > ( X0 > $o ) > nat > X0 ) ).

thf(func_def_918,type,
    sK341: 
      !>[X0: $tType] : ( X0 > X0 > ( X0 > $o ) > nat > X0 ) ).

thf(func_def_919,type,
    sK342: 
      !>[X0: $tType] : ( set(X0) > ( nat > X0 ) > nat ) ).

thf(func_def_920,type,
    sK343: 
      !>[X0: $tType] : ( set(X0) > ( nat > X0 ) > nat ) ).

thf(func_def_921,type,
    sK344: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 ) ).

thf(func_def_922,type,
    sK345: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 ) ).

thf(func_def_923,type,
    sK346: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_924,type,
    sK347: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_925,type,
    sK348: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 ) ).

thf(func_def_926,type,
    sK349: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 ) ).

thf(func_def_927,type,
    sK350: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_928,type,
    sK351: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_929,type,
    sK352: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_930,type,
    sK353: 
      !>[X0: $tType] : ( X0 > nat > X0 ) ).

thf(func_def_931,type,
    sK354: 
      !>[X0: $tType] : ( X0 > nat > X0 ) ).

thf(func_def_932,type,
    sK355: 
      !>[X0: $tType] : ( X0 > ( nat > X0 ) > nat ) ).

thf(func_def_933,type,
    sK356: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_934,type,
    sK357: 
      !>[X0: $tType] : ( X0 > ( nat > X0 ) > nat ) ).

thf(func_def_935,type,
    sK358: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_936,type,
    sK359: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_937,type,
    sK360: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_938,type,
    sK361: 
      !>[X0: $tType] : ( X0 > X0 > set(X0) > X0 ) ).

thf(func_def_939,type,
    sK362: 
      !>[X0: $tType] : ( X0 > X0 > set(X0) > X0 ) ).

thf(func_def_940,type,
    sK363: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_941,type,
    sK364: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_942,type,
    sK365: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_943,type,
    sK366: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_944,type,
    sK367: 
      !>[X0: $tType] : ( ( nat > X0 ) > ( nat > X0 ) > nat ) ).

thf(func_def_945,type,
    sK368: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_946,type,
    sK369: 
      !>[X0: $tType] : ( X0 > ( nat > X0 ) > nat ) ).

thf(func_def_947,type,
    sK370: 
      !>[X0: $tType] : ( set(nat) > ( nat > X0 ) > nat ) ).

thf(func_def_948,type,
    sK371: 
      !>[X0: $tType] : ( ( nat > X0 ) > ( nat > X0 ) > nat ) ).

thf(func_def_949,type,
    sK372: 
      !>[X0: $tType] : ( ( X0 > X0 ) > X0 > X0 > X0 ) ).

thf(func_def_950,type,
    sK373: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_951,type,
    sK374: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_952,type,
    sK375: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_953,type,
    sK376: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_954,type,
    sK377: 
      !>[X0: $tType] : ( ( nat > X0 ) > set(nat) > nat ) ).

thf(func_def_955,type,
    sK378: 
      !>[X0: $tType] : ( ( nat > X0 ) > ( nat > nat ) > nat ) ).

thf(func_def_956,type,
    sK379: 
      !>[X0: $tType] : ( ( nat > X0 ) > set(nat) > nat ) ).

thf(func_def_957,type,
    sK380: 
      !>[X0: $tType] : ( ( nat > X0 ) > ( nat > nat ) > nat ) ).

thf(func_def_958,type,
    sK381: 
      !>[X0: $tType] : ( ( nat > X0 ) > ( nat > nat ) > nat ) ).

thf(func_def_959,type,
    sK382: 
      !>[X0: $tType] : ( ( nat > X0 ) > X0 ) ).

thf(func_def_960,type,
    sK383: 
      !>[X0: $tType] : ( ( nat > X0 ) > X0 ) ).

thf(func_def_961,type,
    sK384: 
      !>[X0: $tType] : ( ( nat > X0 ) > X0 ) ).

thf(func_def_962,type,
    sK385: 
      !>[X0: $tType] : ( ( X0 > X0 ) > set(X0) > X0 ) ).

thf(func_def_963,type,
    sK386: 
      !>[X0: $tType] : ( ( X0 > X0 ) > set(X0) > X0 ) ).

thf(func_def_964,type,
    sK387: 
      !>[X0: $tType] : ( ( nat > X0 ) > real > X0 ) ).

thf(func_def_965,type,
    sK388: 
      !>[X0: $tType] : ( ( X0 > X0 ) > ( nat > X0 ) > real > X0 ) ).

thf(func_def_966,type,
    sK389: 
      !>[X0: $tType] : ( ( X0 > X0 ) > ( nat > X0 ) > real > X0 ) ).

thf(func_def_967,type,
    sK390: 
      !>[X0: $tType] : ( ( nat > X0 ) > real > X0 ) ).

thf(func_def_968,type,
    sK391: 
      !>[X0: $tType] : ( ( X0 > X0 ) > ( nat > X0 ) > real > X0 ) ).

thf(func_def_969,type,
    sK392: vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_970,type,
    sK393: vEBT_VEBT > nat ).

thf(func_def_971,type,
    sK394: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_972,type,
    sK395: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_973,type,
    sK396: vEBT_VEBT > $o ).

thf(func_def_974,type,
    sK397: vEBT_VEBT > $o ).

thf(func_def_975,type,
    sK398: vEBT_VEBT > $o ).

thf(func_def_976,type,
    sK399: vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_977,type,
    sK400: vEBT_VEBT > nat ).

thf(func_def_978,type,
    sK401: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_979,type,
    sK402: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_980,type,
    sK403: vEBT_VEBT > $o ).

thf(func_def_981,type,
    sK404: vEBT_VEBT > nat ).

thf(func_def_982,type,
    sK405: ( nat > $o ) > nat ).

thf(func_def_983,type,
    sK406: int > nat ).

thf(func_def_984,type,
    sK407: int > nat ).

thf(func_def_985,type,
    sK408: int > nat ).

thf(func_def_986,type,
    sK409: int > nat ).

thf(func_def_987,type,
    sK410: nat > nat ).

thf(func_def_988,type,
    sK411: nat > nat ).

thf(func_def_989,type,
    sK412: ( nat > real ) > real ).

thf(func_def_990,type,
    sK413: nat > ( nat > real ) > nat ).

thf(func_def_991,type,
    sK414: ( nat > real ) > real ).

thf(func_def_992,type,
    sK415: ( nat > real ) > nat ).

thf(func_def_993,type,
    sK416: ( nat > real ) > nat ).

thf(func_def_994,type,
    sK417: vEBT_VEBT > nat ).

thf(func_def_995,type,
    sK418: vEBT_VEBT > nat ).

thf(func_def_996,type,
    sK419: vEBT_VEBT > nat ).

thf(func_def_997,type,
    sK420: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_998,type,
    sK421: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_999,type,
    sK422: vEBT_VEBT > nat ).

thf(func_def_1000,type,
    sK423: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1001,type,
    sK424: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1002,type,
    sK425: vEBT_VEBT > $o ).

thf(func_def_1003,type,
    sK426: vEBT_VEBT > $o ).

thf(func_def_1004,type,
    sK427: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1005,type,
    sK428: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1006,type,
    sK429: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1007,type,
    sK430: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1008,type,
    sK431: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1009,type,
    sK432: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1010,type,
    sK433: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

thf(func_def_1011,type,
    sK434: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1012,type,
    sK435: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1013,type,
    sK436: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1014,type,
    sK437: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

thf(func_def_1015,type,
    sK438: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1016,type,
    sK439: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1017,type,
    sK440: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1018,type,
    sK441: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1019,type,
    sK442: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1020,type,
    sK443: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1021,type,
    sK444: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1022,type,
    sK445: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1023,type,
    sK446: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1024,type,
    sK447: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1025,type,
    sK448: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1026,type,
    sK449: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1027,type,
    sK450: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1028,type,
    sK451: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1029,type,
    sK452: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1030,type,
    sK453: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1031,type,
    sK454: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1032,type,
    sK455: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1033,type,
    sK456: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1034,type,
    sK457: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1035,type,
    sK458: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1036,type,
    sK459: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1037,type,
    sK460: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1038,type,
    sK461: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1039,type,
    sK462: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1040,type,
    sK463: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1041,type,
    sK464: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1042,type,
    sK465: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1043,type,
    sK466: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1044,type,
    sK467: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1045,type,
    sK468: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1046,type,
    sK469: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1047,type,
    sK470: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1048,type,
    sK471: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1049,type,
    sK472: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1050,type,
    sK473: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1051,type,
    sK474: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1052,type,
    sK475: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1053,type,
    sK476: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1054,type,
    sK477: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1055,type,
    sK478: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1056,type,
    sK479: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1057,type,
    sK480: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1058,type,
    sK481: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1059,type,
    sK482: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1060,type,
    sK483: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1061,type,
    sK484: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1062,type,
    sK485: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

thf(func_def_1063,type,
    sK486: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1064,type,
    sK487: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1065,type,
    sK488: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1066,type,
    sK489: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

thf(func_def_1067,type,
    sK490: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1068,type,
    sK491: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1069,type,
    sK492: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1070,type,
    sK493: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1071,type,
    sK494: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1072,type,
    sK495: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1073,type,
    sK496: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1074,type,
    sK497: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1075,type,
    sK498: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1076,type,
    sK499: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1077,type,
    sK500: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1078,type,
    sK501: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1079,type,
    sK502: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1080,type,
    sK503: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1081,type,
    sK504: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1082,type,
    sK505: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1083,type,
    sK506: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1084,type,
    sK507: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1085,type,
    sK508: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1086,type,
    sK509: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1087,type,
    sK510: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1088,type,
    sK511: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1089,type,
    sK512: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1090,type,
    sK513: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1091,type,
    sK514: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1092,type,
    sK515: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1093,type,
    sK516: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1094,type,
    sK517: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1095,type,
    sK518: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1096,type,
    sK519: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1097,type,
    sK520: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1098,type,
    sK521: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1099,type,
    sK522: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1100,type,
    sK523: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1101,type,
    sK524: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1102,type,
    sK525: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1103,type,
    sK526: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1104,type,
    sK527: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1105,type,
    sK528: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1106,type,
    sK529: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1107,type,
    sK530: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1108,type,
    sK531: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1109,type,
    sK532: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1110,type,
    sK533: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

thf(func_def_1111,type,
    sK534: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1112,type,
    sK535: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1113,type,
    sK536: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1114,type,
    sK537: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

thf(func_def_1115,type,
    sK538: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1116,type,
    sK539: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1117,type,
    sK540: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1118,type,
    sK541: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1119,type,
    sK542: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1120,type,
    sK543: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1121,type,
    sK544: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

thf(func_def_1122,type,
    sK545: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1123,type,
    sK546: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1124,type,
    sK547: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1125,type,
    sK548: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1126,type,
    sK549: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

thf(func_def_1127,type,
    sK550: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1128,type,
    sK551: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1129,type,
    sK552: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1130,type,
    sK553: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1131,type,
    sK554: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1132,type,
    sK555: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1133,type,
    sK556: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1134,type,
    sK557: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1135,type,
    sK558: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1136,type,
    sK559: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1137,type,
    sK560: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1138,type,
    sK561: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1139,type,
    sK562: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

thf(func_def_1140,type,
    sK563: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1141,type,
    sK564: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1142,type,
    sK565: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1143,type,
    sK566: product_prod(vEBT_VEBT,nat) > product_prod(nat,nat) ).

thf(func_def_1144,type,
    sK567: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1145,type,
    sK568: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1146,type,
    sK569: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1147,type,
    sK570: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1148,type,
    sK571: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1149,type,
    sK572: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1150,type,
    sK573: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1151,type,
    sK574: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1152,type,
    sK575: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1153,type,
    sK576: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1154,type,
    sK577: product_prod(vEBT_VEBT,nat) > option(product_prod(nat,nat)) ).

thf(func_def_1155,type,
    sK578: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1156,type,
    sK579: product_prod(vEBT_VEBT,nat) > list(vEBT_VEBT) ).

thf(func_def_1157,type,
    sK580: product_prod(vEBT_VEBT,nat) > vEBT_VEBT ).

thf(func_def_1158,type,
    sK581: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1159,type,
    sK582: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1160,type,
    sK583: product_prod(vEBT_VEBT,nat) > $o ).

thf(func_def_1161,type,
    sK584: product_prod(vEBT_VEBT,nat) > nat ).

thf(func_def_1162,type,
    sK585: vEBT_VEBT > $o ).

thf(func_def_1163,type,
    sK586: vEBT_VEBT > $o ).

thf(func_def_1164,type,
    sK587: vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_1165,type,
    sK588: vEBT_VEBT > nat ).

thf(func_def_1166,type,
    sK589: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1167,type,
    sK590: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1168,type,
    sK591: set(real) > real ).

thf(func_def_1169,type,
    sK592: real > set(real) > real ).

thf(func_def_1170,type,
    sK593: real > set(real) > real ).

thf(func_def_1171,type,
    sK594: 
      !>[X0: $tType] : ( set(X0) > set(X0) > set(X0) ) ).

thf(func_def_1172,type,
    sK595: 
      !>[X0: $tType] : ( set(X0) > set(X0) > set(X0) ) ).

thf(func_def_1173,type,
    sK596: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1174,type,
    sK597: 
      !>[X0: $tType] : ( X0 > set(X0) > set(X0) ) ).

thf(func_def_1175,type,
    sK598: 
      !>[X0: $tType] : ( X0 > set(X0) > set(X0) ) ).

thf(func_def_1176,type,
    sK599: 
      !>[X0: $tType] : ( set(X0) > X0 > set(X0) ) ).

thf(func_def_1177,type,
    sK600: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_1178,type,
    sK601: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_1179,type,
    sK602: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1180,type,
    sK603: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1181,type,
    sK604: 
      !>[X0: $tType] : ( X0 > nat ) ).

thf(func_def_1182,type,
    sK605: 
      !>[X0: $tType] : ( X0 > nat ) ).

thf(func_def_1183,type,
    sK606: 
      !>[X0: $tType] : ( X0 > int ) ).

thf(func_def_1184,type,
    sK607: 
      !>[X0: $tType] : ( X0 > int ) ).

thf(func_def_1185,type,
    sK608: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1186,type,
    sK609: 
      !>[X0: $tType] : ( X0 > int ) ).

thf(func_def_1187,type,
    sK610: 
      !>[X0: $tType] : ( X0 > nat ) ).

thf(func_def_1188,type,
    sK611: 
      !>[X0: $tType] : ( X0 > int ) ).

thf(func_def_1189,type,
    sK612: 
      !>[X0: $tType] : ( X0 > nat ) ).

thf(func_def_1190,type,
    sK613: 
      !>[X0: $tType] : ( X0 > int ) ).

thf(func_def_1191,type,
    sK614: 
      !>[X0: $tType] : ( X0 > X0 > nat ) ).

thf(func_def_1192,type,
    sK615: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1193,type,
    sK616: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_1194,type,
    sK617: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_1195,type,
    sK618: 
      !>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).

thf(func_def_1196,type,
    sK619: 
      !>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).

thf(func_def_1197,type,
    sK620: 
      !>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).

thf(func_def_1198,type,
    sK621: 
      !>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).

thf(func_def_1199,type,
    sK622: 
      !>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).

thf(func_def_1200,type,
    sK623: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_1201,type,
    sK624: 
      !>[X0: $tType] : ( X0 > nat > set(X0) ) ).

thf(func_def_1202,type,
    sK625: 
      !>[X0: $tType] : ( X0 > nat > set(X0) ) ).

thf(func_def_1203,type,
    sK626: 
      !>[X0: $tType] : ( X0 > nat > set(X0) ) ).

thf(func_def_1204,type,
    sK627: 
      !>[X0: $tType] : ( set(X0) > X0 > nat ) ).

thf(func_def_1205,type,
    sK628: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > nat > X0 ) ).

thf(func_def_1206,type,
    sK629: 
      !>[X0: $tType] : ( X0 > ( real > X0 ) > nat > real ) ).

thf(func_def_1207,type,
    sK630: 
      !>[X0: $tType] : ( X0 > ( real > X0 ) > nat > real ) ).

thf(func_def_1208,type,
    sK631: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > set(X0) > nat > X0 ) ).

thf(func_def_1209,type,
    sK632: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > set(X0) > nat > X0 ) ).

thf(func_def_1210,type,
    sK633: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) > $o ) > product_prod(X0,X0) > $o ) ).

thf(func_def_1211,type,
    sK634: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) > $o ) > product_prod(X0,X0) > $o ) ).

thf(func_def_1212,type,
    sK635: 
      !>[X0: $tType] : ( nat > X0 > ( nat > X0 ) > nat > X0 ) ).

thf(func_def_1213,type,
    sK636: 
      !>[X0: $tType] : ( X0 > nat > ( nat > X0 ) > nat > X0 ) ).

thf(func_def_1214,type,
    sK637: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > nat ) ).

thf(func_def_1215,type,
    sK638: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > nat ) ).

thf(func_def_1216,type,
    sK639: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 > X0 ) ).

thf(func_def_1217,type,
    sK640: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 > X0 ) ).

thf(func_def_1218,type,
    sK641: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1219,type,
    sK642: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1220,type,
    sK643: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_1221,type,
    sK644: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_1222,type,
    sK645: 
      !>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).

thf(func_def_1223,type,
    sK646: 
      !>[X0: $tType] : ( X0 > X0 > X0 > X0 ) ).

thf(func_def_1224,type,
    sK647: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1225,type,
    sK648: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1226,type,
    sK649: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1227,type,
    sK650: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1228,type,
    sK651: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1229,type,
    sK652: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1230,type,
    sK653: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1231,type,
    sK654: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_1232,type,
    sK655: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1233,type,
    sK656: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1234,type,
    sK657: 
      !>[X0: $tType] : ( X0 > X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_1235,type,
    sK658: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 > X0 ) ).

thf(func_def_1236,type,
    sK659: 
      !>[X0: $tType] : ( X0 > nat ) ).

thf(func_def_1237,type,
    sK660: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_1238,type,
    sK661: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_1239,type,
    sK662: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_1240,type,
    sK663: 
      !>[X0: $tType] : ( X0 > X0 > nat ) ).

thf(func_def_1241,type,
    sK664: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_1242,type,
    sK665: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_1243,type,
    sK666: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_1244,type,
    sK667: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_1245,type,
    sK668: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_1246,type,
    sK669: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_1247,type,
    sK670: 
      !>[X0: $tType] : ( ( X0 > X0 > X0 ) > X0 ) ).

thf(func_def_1248,type,
    sK671: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > real > real ) ).

thf(func_def_1249,type,
    sK672: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_1250,type,
    sK673: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_1251,type,
    sK674: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

thf(func_def_1252,type,
    sK675: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

thf(func_def_1253,type,
    sK676: 
      !>[X0: $tType] : ( ( X0 > nat ) > ( X0 > nat ) > X0 ) ).

thf(func_def_1254,type,
    sK677: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1255,type,
    sK678: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1256,type,
    sK679: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1257,type,
    sK680: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1258,type,
    sK681: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1259,type,
    sK682: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1260,type,
    sK683: 
      !>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).

thf(func_def_1261,type,
    sK684: 
      !>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).

thf(func_def_1262,type,
    sK685: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_1263,type,
    sK686: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_1264,type,
    sK687: 
      !>[X0: $tType] : ( ( nat > X0 ) > real ) ).

thf(func_def_1265,type,
    sK688: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > nat ) ).

thf(func_def_1266,type,
    sK689: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > nat ) ).

thf(func_def_1267,type,
    sK690: 
      !>[X0: $tType] : ( ( nat > X0 ) > real ) ).

thf(func_def_1268,type,
    sK691: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > nat ) ).

thf(func_def_1269,type,
    sK692: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > nat ) ).

thf(func_def_1270,type,
    sK693: 
      !>[X0: $tType] : ( X0 > ( nat > X0 ) > real ) ).

thf(func_def_1271,type,
    sK694: 
      !>[X0: $tType] : ( nat > X0 > ( nat > X0 ) > nat ) ).

thf(func_def_1272,type,
    sK695: 
      !>[X0: $tType] : ( real > ( nat > X0 ) > nat ) ).

thf(func_def_1273,type,
    sK696: 
      !>[X0: $tType] : ( real > X0 > ( nat > X0 ) > nat ) ).

thf(func_def_1274,type,
    sK697: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1275,type,
    sK698: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1276,type,
    sK699: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1277,type,
    sK700: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1278,type,
    sK701: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1279,type,
    sK702: 
      !>[X0: $tType] : ( X0 > ( nat > X0 ) > nat > nat ) ).

thf(func_def_1280,type,
    sK703: 
      !>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).

thf(func_def_1281,type,
    sK704: 
      !>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).

thf(func_def_1282,type,
    sK705: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1283,type,
    sK706: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1284,type,
    sK707: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1285,type,
    sK708: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1286,type,
    sK709: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1287,type,
    sK710: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1288,type,
    sK711: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1289,type,
    sK712: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1290,type,
    sK713: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1291,type,
    sK714: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1292,type,
    sK715: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1293,type,
    sK716: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1294,type,
    sK717: 
      !>[X0: $tType] : ( real > real > ( real > X0 ) > X0 ) ).

thf(func_def_1295,type,
    sK718: 
      !>[X0: $tType] : ( real > real > ( real > X0 ) > real ) ).

thf(func_def_1296,type,
    sK719: 
      !>[X0: $tType] : ( ( real > X0 ) > real > real > real ) ).

thf(func_def_1297,type,
    sK720: 
      !>[X0: $tType] : ( real > real > ( real > X0 ) > X0 ) ).

thf(func_def_1298,type,
    sK721: 
      !>[X0: $tType] : ( X0 > real > real > ( real > X0 ) > real ) ).

thf(func_def_1299,type,
    sK722: 
      !>[X0: $tType] : ( ( real > X0 ) > real > real > real ) ).

thf(func_def_1300,type,
    sK723: 
      !>[X0: $tType] : ( real > real > ( real > X0 ) > X0 ) ).

thf(func_def_1301,type,
    sK724: 
      !>[X0: $tType] : ( real > real > ( real > X0 ) > real ) ).

thf(func_def_1302,type,
    sK725: 
      !>[X0: $tType] : ( ( real > X0 ) > real > real > real ) ).

thf(func_def_1303,type,
    sK726: 
      !>[X0: $tType] : ( ( real > X0 ) > real > real > X0 ) ).

thf(func_def_1304,type,
    sK727: 
      !>[X0: $tType] : ( ( real > X0 ) > real > real > real ) ).

thf(func_def_1305,type,
    sK728: 
      !>[X0: $tType] : ( nat > X0 > ( nat > X0 ) > nat ) ).

thf(func_def_1306,type,
    sK729: 
      !>[X0: $tType] : ( nat > X0 > ( nat > X0 ) > nat ) ).

thf(func_def_1307,type,
    sK730: 
      !>[X0: $tType] : ( X0 > nat > ( nat > X0 ) > nat ) ).

thf(func_def_1308,type,
    sK731: 
      !>[X0: $tType] : ( X0 > nat > ( nat > X0 ) > nat ) ).

thf(func_def_1309,type,
    sK732: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > ( nat > X0 ) > nat ) ).

thf(func_def_1310,type,
    sK733: 
      !>[X0: $tType] : ( ( nat > X0 ) > ( nat > X0 ) > nat > nat ) ).

thf(func_def_1311,type,
    sK734: 
      !>[X0: $tType] : ( X0 > X0 > nat ) ).

thf(func_def_1312,type,
    sK735: 
      !>[X0: $tType] : ( X0 > X0 > nat ) ).

thf(func_def_1313,type,
    sK736: 
      !>[X0: $tType] : ( X0 > nat > X0 ) ).

thf(func_def_1314,type,
    sK737: 
      !>[X0: $tType] : ( X0 > nat ) ).

thf(func_def_1315,type,
    sK738: 
      !>[X0: $tType] : ( ( nat > X0 ) > ( nat > X0 ) > set(nat) > nat ) ).

thf(func_def_1316,type,
    sK739: 
      !>[X0: $tType] : ( X0 > nat ) ).

thf(func_def_1317,type,
    sK740: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1318,type,
    sK741: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1319,type,
    sK742: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1320,type,
    sK743: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1321,type,
    sK744: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1322,type,
    sK745: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1323,type,
    sK746: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1324,type,
    sK747: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1325,type,
    sK748: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1326,type,
    sK749: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1327,type,
    sK750: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1328,type,
    sK751: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1329,type,
    sK752: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1330,type,
    sK753: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_1331,type,
    sK754: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1332,type,
    sK755: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1333,type,
    sK756: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_1334,type,
    sK757: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_1335,type,
    sK758: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1336,type,
    sK759: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1337,type,
    sK760: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1338,type,
    sK761: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1339,type,
    sK762: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_1340,type,
    sK763: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_1341,type,
    sK764: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1342,type,
    sK765: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > nat ) ).

thf(func_def_1343,type,
    sK766: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1344,type,
    sK767: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1345,type,
    sK768: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1346,type,
    sK769: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1347,type,
    sK770: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1348,type,
    sK771: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1349,type,
    sK772: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1350,type,
    sK773: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1351,type,
    sK774: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1352,type,
    sK775: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1353,type,
    sK776: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1354,type,
    sK777: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1355,type,
    sK778: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 ) ).

thf(func_def_1356,type,
    sK779: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1357,type,
    sK780: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1358,type,
    sK781: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_1359,type,
    sK782: 
      !>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).

thf(func_def_1360,type,
    sK783: 
      !>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).

thf(func_def_1361,type,
    sK784: 
      !>[X0: $tType] : ( ( set(X0) > $o ) > X0 ) ).

thf(func_def_1362,type,
    sK785: 
      !>[X0: $tType] : ( ( set(X0) > $o ) > set(X0) ) ).

thf(func_def_1363,type,
    sK786: 
      !>[X0: $tType] : ( ( set(X0) > $o ) > X0 ) ).

thf(func_def_1364,type,
    sK787: 
      !>[X0: $tType] : ( ( set(X0) > $o ) > set(X0) ) ).

thf(func_def_1365,type,
    sK788: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1366,type,
    sK789: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1367,type,
    sK790: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1368,type,
    sK791: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1369,type,
    sK792: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1370,type,
    sK793: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1371,type,
    sK794: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1372,type,
    sK795: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1373,type,
    sK796: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1374,type,
    sK797: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_1375,type,
    sK798: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_1376,type,
    sK799: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_1377,type,
    sK800: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_1378,type,
    sK801: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_1379,type,
    sK802: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_1380,type,
    sK803: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_1381,type,
    sK804: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_1382,type,
    sK805: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_1383,type,
    sK806: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_1384,type,
    sK807: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_1385,type,
    sK808: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_1386,type,
    sK809: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1387,type,
    sK810: 
      !>[X0: $tType] : ( X0 > X0 ) ).

thf(func_def_1388,type,
    sK811: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_1389,type,
    sK812: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_1390,type,
    sK813: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_1391,type,
    sK814: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1392,type,
    sK815: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > nat ) ).

thf(func_def_1393,type,
    sK816: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > nat ) ).

thf(func_def_1394,type,
    sK817: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > nat ) ).

thf(func_def_1395,type,
    sK818: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > nat ) ).

thf(func_def_1396,type,
    sK819: 
      !>[X0: $tType] : ( nat > ( nat > real ) > ( nat > X0 ) > nat ) ).

thf(func_def_1397,type,
    sK820: 
      !>[X0: $tType] : ( real > ( nat > X0 ) > nat ) ).

thf(func_def_1398,type,
    sK821: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > ( nat > complex ) > nat ) ).

thf(func_def_1399,type,
    sK822: ( nat > complex ) > nat ).

thf(func_def_1400,type,
    sK823: ( nat > complex ) > nat ).

thf(func_def_1401,type,
    sK824: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > ( nat > real ) > nat ) ).

thf(func_def_1402,type,
    sK825: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > real > nat ) ).

thf(func_def_1403,type,
    sK826: 
      !>[X0: $tType] : ( X0 > ( X0 > X0 ) > X0 ) ).

thf(func_def_1404,type,
    sK827: 
      !>[X0: $tType] : ( ( X0 > X0 ) > ( X0 > X0 ) > X0 ) ).

thf(func_def_1405,type,
    sK828: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1406,type,
    sK829: 
      !>[X0: $tType] : ( ( X0 > X0 ) > ( X0 > X0 ) > set(X0) > X0 ) ).

thf(func_def_1407,type,
    sK830: 
      !>[X0: $tType] : ( ( X0 > X0 ) > real > set(X0) > X0 > ( X0 > X0 ) > X0 ) ).

thf(func_def_1408,type,
    sK831: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) ) ).

thf(func_def_1409,type,
    sK832: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1410,type,
    sK833: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) > set(set(X0)) ) ).

thf(func_def_1411,type,
    sK834: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

thf(func_def_1412,type,
    sK835: 
      !>[X0: $tType] : ( ( X0 > real ) > set(X0) > X0 ) ).

thf(func_def_1413,type,
    sK836: 
      !>[X0: $tType] : ( ( X0 > real ) > set(X0) > X0 ) ).

thf(func_def_1414,type,
    sK837: 
      !>[X0: $tType] : ( ( X0 > real ) > set(X0) > X0 ) ).

thf(func_def_1415,type,
    sK838: 
      !>[X0: $tType] : ( ( X0 > real ) > set(X0) > set(X0) ) ).

thf(func_def_1416,type,
    sK839: 
      !>[X0: $tType] : ( ( X0 > real ) > set(X0) > X0 ) ).

thf(func_def_1417,type,
    sK840: 
      !>[X0: $tType] : ( ( X0 > real ) > ( X0 > real ) > set(X0) > X0 ) ).

thf(func_def_1418,type,
    sK841: 
      !>[X0: $tType] : ( set(X0) > ( X0 > real ) > X0 ) ).

thf(func_def_1419,type,
    sK842: 
      !>[X0: $tType] : ( ( X0 > real ) > set(X0) > X0 ) ).

thf(func_def_1420,type,
    sK843: 
      !>[X0: $tType] : ( ( X0 > real ) > set(X0) > X0 ) ).

thf(func_def_1421,type,
    sK844: 
      !>[X0: $tType] : ( ( X0 > real ) > ( X0 > real ) > set(X0) > set(X0) ) ).

thf(func_def_1422,type,
    sK845: 
      !>[X0: $tType] : ( ( X0 > real ) > X0 > ( X0 > real ) > X0 ) ).

thf(func_def_1423,type,
    sK846: 
      !>[X0: $tType] : ( ( X0 > real ) > X0 > X0 ) ).

thf(func_def_1424,type,
    sK847: 
      !>[X0: $tType] : ( ( nat > X0 ) > real ) ).

thf(func_def_1425,type,
    sK848: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > nat ) ).

thf(func_def_1426,type,
    sK849: 
      !>[X0: $tType] : ( nat > ( nat > X0 ) > nat ) ).

thf(func_def_1427,type,
    sK850: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1428,type,
    sK851: 
      !>[X0: $tType] : ( ( nat > X0 ) > real ) ).

thf(func_def_1429,type,
    sK852: 
      !>[X0: $tType] : ( ( nat > X0 ) > real ) ).

thf(func_def_1430,type,
    sK853: 
      !>[X0: $tType] : ( X0 > ( nat > X0 ) > real ) ).

thf(func_def_1431,type,
    sK854: 
      !>[X0: $tType] : ( nat > X0 > ( nat > X0 ) > nat ) ).

thf(func_def_1432,type,
    sK855: 
      !>[X0: $tType] : ( real > ( nat > X0 ) > nat ) ).

thf(func_def_1433,type,
    sK856: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1434,type,
    sK857: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_1435,type,
    sK858: 
      !>[X0: $tType] : ( nat > ( nat > real ) > ( nat > X0 ) > nat ) ).

thf(func_def_1436,type,
    sK859: 
      !>[X0: $tType] : ( real > ( nat > X0 ) > nat ) ).

thf(func_def_1437,type,
    sK860: 
      !>[X0: $tType] : ( ( nat > X0 ) > real > nat ) ).

thf(func_def_1438,type,
    sK861: 
      !>[X0: $tType] : ( ( nat > X0 ) > real > nat ) ).

thf(func_def_1439,type,
    sK862: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > nat ) ).

thf(func_def_1440,type,
    sK863: 
      !>[X0: $tType] : ( real > X0 > ( nat > X0 ) > nat ) ).

thf(func_def_1441,type,
    sK864: 
      !>[X0: $tType] : ( real > ( nat > X0 ) > real > nat ) ).

thf(func_def_1442,type,
    sK865: vEBT_VEBT > nat ).

thf(func_def_1443,type,
    sK866: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1444,type,
    sK867: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1445,type,
    sK868: vEBT_VEBT > nat ).

thf(func_def_1446,type,
    sK869: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1447,type,
    sK870: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1448,type,
    sK871: set(nat) > nat > nat ).

thf(func_def_1449,type,
    sK872: ( nat > real ) > nat ).

thf(func_def_1450,type,
    sK873: vEBT_VEBT > $o ).

thf(func_def_1451,type,
    sK874: vEBT_VEBT > $o ).

thf(func_def_1452,type,
    sK875: rat > rat ).

thf(func_def_1453,type,
    sK876: rat > rat ).

thf(func_def_1454,type,
    sK877: int > nat ).

thf(func_def_1455,type,
    sK878: int > nat ).

thf(func_def_1456,type,
    sK879: int > nat ).

thf(func_def_1457,type,
    sK880: int > nat ).

thf(func_def_1458,type,
    sK881: real > real > nat ).

thf(func_def_1459,type,
    sK882: real > real ).

thf(func_def_1460,type,
    sK883: real > real ).

thf(func_def_1461,type,
    sK884: real > real ).

thf(func_def_1462,type,
    sK885: real > nat ).

thf(func_def_1463,type,
    sK886: real > nat ).

thf(func_def_1464,type,
    sK887: real > real ).

thf(func_def_1465,type,
    sK888: nat > nat ).

thf(func_def_1466,type,
    sK889: real > real ).

thf(func_def_1467,type,
    sK890: real > real ).

thf(func_def_1468,type,
    sK891: real > real ).

thf(func_def_1469,type,
    sK892: ( nat > real ) > nat ).

thf(func_def_1470,type,
    sK893: ( nat > real ) > nat ).

thf(func_def_1471,type,
    sK894: ( nat > real ) > nat ).

thf(func_def_1472,type,
    sK895: ( nat > real ) > nat ).

thf(func_def_1473,type,
    sK896: ( nat > real ) > nat ).

thf(func_def_1474,type,
    sK897: ( nat > real ) > nat ).

thf(func_def_1475,type,
    sK898: ( nat > real ) > nat > int ).

thf(func_def_1476,type,
    sK899: real > int ).

thf(func_def_1477,type,
    sK900: int > nat ).

thf(func_def_1478,type,
    sK901: product_prod(nat,nat) > nat ).

thf(func_def_1479,type,
    sK902: product_prod(nat,nat) > nat ).

thf(func_def_1480,type,
    sK903: int > nat ).

thf(func_def_1481,type,
    sK904: int > nat ).

thf(func_def_1482,type,
    sK905: int > nat ).

thf(func_def_1483,type,
    sK906: int > nat ).

thf(func_def_1484,type,
    sK907: real > real ).

thf(func_def_1485,type,
    sK908: real > real ).

thf(func_def_1486,type,
    sK909: real > real ).

thf(func_def_1487,type,
    sK910: nat > real > real ).

thf(func_def_1488,type,
    sK911: nat > nat > nat ).

thf(func_def_1489,type,
    sK912: nat > nat > nat ).

thf(func_def_1490,type,
    sK913: nat > nat > nat ).

thf(func_def_1491,type,
    sK914: nat > nat > nat ).

thf(func_def_1492,type,
    sK915: nat > nat > nat ).

thf(func_def_1493,type,
    sK916: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

thf(func_def_1494,type,
    sK917: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

thf(func_def_1495,type,
    sK918: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

thf(func_def_1496,type,
    sK919: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

thf(func_def_1497,type,
    sK920: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

thf(func_def_1498,type,
    sK921: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

thf(func_def_1499,type,
    sK922: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

thf(func_def_1500,type,
    sK923: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

thf(func_def_1501,type,
    sK924: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

thf(func_def_1502,type,
    sK925: 
      !>[X0: $tType] : ( list(list(X0)) > X0 ) ).

thf(func_def_1503,type,
    sK926: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

thf(func_def_1504,type,
    sK927: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

thf(func_def_1505,type,
    sK928: 
      !>[X0: $tType] : ( list(list(X0)) > list(list(X0)) ) ).

thf(func_def_1506,type,
    sK929: vEBT_VEBT > $o ).

thf(func_def_1507,type,
    sK930: vEBT_VEBT > $o ).

thf(func_def_1508,type,
    sK931: vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_1509,type,
    sK932: vEBT_VEBT > nat ).

thf(func_def_1510,type,
    sK933: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1511,type,
    sK934: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1512,type,
    sK935: vEBT_VEBT > nat ).

thf(func_def_1513,type,
    sK936: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1514,type,
    sK937: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1515,type,
    sK938: vEBT_VEBT > $o > nat ).

thf(func_def_1516,type,
    sK939: vEBT_VEBT > $o > list(vEBT_VEBT) ).

thf(func_def_1517,type,
    sK940: vEBT_VEBT > $o > vEBT_VEBT ).

thf(func_def_1518,type,
    sK941: vEBT_VEBT > $o > $o ).

thf(func_def_1519,type,
    sK942: vEBT_VEBT > $o > $o ).

thf(func_def_1520,type,
    sK943: $o > vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_1521,type,
    sK944: $o > vEBT_VEBT > nat ).

thf(func_def_1522,type,
    sK945: $o > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1523,type,
    sK946: $o > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1524,type,
    sK947: nat > vEBT_VEBT > nat ).

thf(func_def_1525,type,
    sK948: nat > vEBT_VEBT > nat ).

thf(func_def_1526,type,
    sK949: vEBT_VEBT > option(nat) > $o ).

thf(func_def_1527,type,
    sK950: vEBT_VEBT > option(nat) > $o ).

thf(func_def_1528,type,
    sK951: option(nat) > vEBT_VEBT > nat ).

thf(func_def_1529,type,
    sK952: option(nat) > vEBT_VEBT > nat ).

thf(func_def_1530,type,
    sK953: option(nat) > vEBT_VEBT > nat ).

thf(func_def_1531,type,
    sK954: option(nat) > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1532,type,
    sK955: option(nat) > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1533,type,
    sK956: vEBT_VEBT > nat ).

thf(func_def_1534,type,
    sK957: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1535,type,
    sK958: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1536,type,
    sK959: vEBT_VEBT > option(nat) > nat ).

thf(func_def_1537,type,
    sK960: vEBT_VEBT > option(nat) > list(vEBT_VEBT) ).

thf(func_def_1538,type,
    sK961: vEBT_VEBT > option(nat) > vEBT_VEBT ).

thf(func_def_1539,type,
    sK962: vEBT_VEBT > option(nat) > $o ).

thf(func_def_1540,type,
    sK963: vEBT_VEBT > option(nat) > $o ).

thf(func_def_1541,type,
    sK964: option(nat) > vEBT_VEBT > nat ).

thf(func_def_1542,type,
    sK965: option(nat) > vEBT_VEBT > nat ).

thf(func_def_1543,type,
    sK966: option(nat) > vEBT_VEBT > nat ).

thf(func_def_1544,type,
    sK967: option(nat) > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1545,type,
    sK968: option(nat) > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1546,type,
    sK969: vEBT_VEBT > option(nat) > $o ).

thf(func_def_1547,type,
    sK970: vEBT_VEBT > option(nat) > $o ).

thf(func_def_1548,type,
    sK971: option(nat) > vEBT_VEBT > nat ).

thf(func_def_1549,type,
    sK972: option(nat) > vEBT_VEBT > nat ).

thf(func_def_1550,type,
    sK973: option(nat) > vEBT_VEBT > nat ).

thf(func_def_1551,type,
    sK974: option(nat) > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1552,type,
    sK975: option(nat) > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1553,type,
    sK976: vEBT_VEBT > nat ).

thf(func_def_1554,type,
    sK977: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1555,type,
    sK978: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1556,type,
    sK979: vEBT_VEBT > option(nat) > nat ).

thf(func_def_1557,type,
    sK980: vEBT_VEBT > option(nat) > list(vEBT_VEBT) ).

thf(func_def_1558,type,
    sK981: vEBT_VEBT > option(nat) > vEBT_VEBT ).

thf(func_def_1559,type,
    sK982: vEBT_VEBT > option(nat) > $o ).

thf(func_def_1560,type,
    sK983: vEBT_VEBT > option(nat) > $o ).

thf(func_def_1561,type,
    sK984: option(nat) > vEBT_VEBT > nat ).

thf(func_def_1562,type,
    sK985: option(nat) > vEBT_VEBT > nat ).

thf(func_def_1563,type,
    sK986: option(nat) > vEBT_VEBT > nat ).

thf(func_def_1564,type,
    sK987: option(nat) > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1565,type,
    sK988: option(nat) > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1566,type,
    sK989: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1567,type,
    sK990: nat > nat > nat ).

thf(func_def_1568,type,
    sK991: real > real > real ).

thf(func_def_1569,type,
    sK992: real > real > real ).

thf(func_def_1570,type,
    sK993: 
      !>[X0: $tType,X1: $tType] : ( X1 > ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1571,type,
    sK994: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > nat > X0 ) > set(X1) > X1 ) ).

thf(func_def_1572,type,
    sK995: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > nat > X1 ) > set(X0) > X0 ) ).

thf(func_def_1573,type,
    sK996: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > nat > X0 ) > set(X1) > X1 ) ).

thf(func_def_1574,type,
    sK997: 
      !>[X0: $tType,X1: $tType] : ( X1 > X1 > ( X1 > X0 ) > X0 > nat > X1 ) ).

thf(func_def_1575,type,
    sK998: 
      !>[X0: $tType,X1: $tType] : ( X1 > X1 > ( X1 > X0 ) > X0 > nat > X1 ) ).

thf(func_def_1576,type,
    sK999: 
      !>[X0: $tType,X1: $tType] : ( X0 > ( X1 > X0 ) > X1 > nat > X1 ) ).

thf(func_def_1577,type,
    sK1000: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > set(X1) > X1 ) ).

thf(func_def_1578,type,
    sK1001: 
      !>[X0: $tType,X1: $tType] : ( X1 > ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1579,type,
    sK1002: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 > X1 ) ).

thf(func_def_1580,type,
    sK1003: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1581,type,
    sK1004: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1582,type,
    sK1005: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1583,type,
    sK1006: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1584,type,
    sK1007: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1585,type,
    sK1008: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1586,type,
    sK1009: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_1587,type,
    sK1010: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_1588,type,
    sK1011: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_1589,type,
    sK1012: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_1590,type,
    sK1013: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 > X1 > X1 ) ).

thf(func_def_1591,type,
    sK1014: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 > X1 > X1 ) ).

thf(func_def_1592,type,
    sK1015: 
      !>[X0: $tType,X1: $tType] : ( X0 > ( X1 > X0 ) > X1 > real ) ).

thf(func_def_1593,type,
    sK1016: 
      !>[X0: $tType,X1: $tType] : ( real > X0 > ( X1 > X0 ) > X1 > X1 ) ).

thf(func_def_1594,type,
    sK1017: 
      !>[X0: $tType] : ( ( nat > X0 ) > set(X0) > nat ) ).

thf(func_def_1595,type,
    sK1018: 
      !>[X0: $tType,X1: $tType] : ( real > X1 > X0 > ( X1 > X0 ) > real ) ).

thf(func_def_1596,type,
    sK1019: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > real > X1 > ( X1 > X0 ) > X1 ) ).

thf(func_def_1597,type,
    sK1020: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > real > set(X1) > X1 > ( X1 > X0 ) > X1 ) ).

thf(func_def_1598,type,
    sK1021: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1599,type,
    sK1022: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1600,type,
    sK1023: 
      !>[X0: $tType,X1: $tType] : ( X0 > X0 > ( X0 > X1 ) > X0 ) ).

thf(func_def_1601,type,
    sK1024: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 > ( X0 > X1 ) > X0 ) ).

thf(func_def_1602,type,
    sK1025: 
      !>[X0: $tType,X1: $tType] : ( X0 > X0 > ( X0 > X1 ) > X0 ) ).

thf(func_def_1603,type,
    sK1026: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 > ( X0 > X1 ) > X0 ) ).

thf(func_def_1604,type,
    sK1027: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 > ( X0 > X1 ) > X0 ) ).

thf(func_def_1605,type,
    sK1028: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 > ( X0 > X1 ) > X0 ) ).

thf(func_def_1606,type,
    sK1029: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X0 > X1 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1607,type,
    sK1030: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1608,type,
    sK1031: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1609,type,
    sK1032: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_1610,type,
    sK1033: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > $o ) > ( X1 > $o ) > X0 ) ).

thf(func_def_1611,type,
    sK1034: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X0 > X1 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1612,type,
    sK1035: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1613,type,
    sK1036: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1614,type,
    sK1037: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_1615,type,
    sK1038: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > $o ) > ( X1 > $o ) > X0 ) ).

thf(func_def_1616,type,
    sK1039: 
      !>[X0: $tType,X1: $tType] : ( X1 > X1 > ( X1 > X0 ) > X1 ) ).

thf(func_def_1617,type,
    sK1040: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1618,type,
    sK1041: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1619,type,
    sK1042: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1620,type,
    sK1043: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1621,type,
    sK1044: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1622,type,
    sK1045: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1623,type,
    sK1046: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1624,type,
    sK1047: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1625,type,
    sK1048: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_1626,type,
    sK1049: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_1627,type,
    sK1050: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_1628,type,
    sK1051: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_1629,type,
    sK1052: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_1630,type,
    sK1053: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_1631,type,
    sK1054: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_1632,type,
    sK1055: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X0 ) ).

thf(func_def_1633,type,
    sK1056: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1634,type,
    sK1057: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1635,type,
    sK1058: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1636,type,
    sK1059: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1637,type,
    sK1060: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1638,type,
    sK1061: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1639,type,
    sK1062: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1640,type,
    sK1063: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1641,type,
    sK1064: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1642,type,
    sK1065: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1643,type,
    sK1066: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > $o ) > ( X1 > $o ) > X0 ) ).

thf(func_def_1644,type,
    sK1067: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > $o ) > ( X1 > X0 ) > X0 ) ).

thf(func_def_1645,type,
    sK1068: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1646,type,
    sK1069: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1647,type,
    sK1070: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1648,type,
    sK1071: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1649,type,
    sK1072: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1650,type,
    sK1073: 
      !>[X0: $tType] : ( ( nat > X0 ) > X0 > nat ) ).

thf(func_def_1651,type,
    sK1074: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1652,type,
    sK1075: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > nat > X0 ) > ( nat > real ) > real > X1 ) ).

thf(func_def_1653,type,
    sK1076: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > nat > X0 ) > ( nat > real ) > real > nat ) ).

thf(func_def_1654,type,
    sK1077: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 > real > X1 ) ).

thf(func_def_1655,type,
    sK1078: 
      !>[X0: $tType,X1: $tType] : ( real > ( X1 > X0 ) > X1 ) ).

thf(func_def_1656,type,
    sK1079: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > real ) ).

thf(func_def_1657,type,
    sK1080: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > real ) ).

thf(func_def_1658,type,
    sK1081: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > real ) ).

thf(func_def_1659,type,
    sK1082: 
      !>[X0: $tType,X1: $tType] : ( real > ( X1 > X0 ) > X1 ) ).

thf(func_def_1660,type,
    sK1083: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > real ) ).

thf(func_def_1661,type,
    sK1084: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1662,type,
    sK1085: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1663,type,
    sK1086: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1664,type,
    sK1087: 
      !>[X0: $tType,X1: $tType] : ( X0 > ( X1 > X0 ) > X1 > real ) ).

thf(func_def_1665,type,
    sK1088: 
      !>[X0: $tType,X1: $tType] : ( real > X0 > ( X1 > X0 ) > X1 > X1 ) ).

thf(func_def_1666,type,
    sK1089: 
      !>[X0: $tType,X1: $tType] : ( real > ( X1 > X0 ) > real > X1 ) ).

thf(func_def_1667,type,
    sK1090: 
      !>[X0: $tType,X1: $tType] : ( real > X1 > X0 > ( X1 > X0 ) > real ) ).

thf(func_def_1668,type,
    sK1091: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > real ) > ( X1 > X0 ) > X1 > set(X1) > ( X1 > X0 ) > real > X1 ) ).

thf(func_def_1669,type,
    sK1092: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > real > set(X1) > X1 > ( X1 > X0 ) > X1 ) ).

thf(func_def_1670,type,
    sK1093: nat > set(nat) > nat ).

thf(func_def_1671,type,
    sK1094: nat > set(nat) > nat ).

thf(func_def_1672,type,
    sK1095: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

thf(func_def_1673,type,
    sK1096: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

thf(func_def_1674,type,
    sK1097: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

thf(func_def_1675,type,
    sK1098: 
      !>[X0: $tType] : ( list(X0) > X0 ) ).

thf(func_def_1676,type,
    sK1099: 
      !>[X0: $tType] : ( set(X0) > nat > X0 ) ).

thf(func_def_1677,type,
    sK1100: vEBT_VEBT > nat > $o ).

thf(func_def_1678,type,
    sK1101: vEBT_VEBT > nat > $o ).

thf(func_def_1679,type,
    sK1102: nat > vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_1680,type,
    sK1103: nat > vEBT_VEBT > nat ).

thf(func_def_1681,type,
    sK1104: nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1682,type,
    sK1105: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1683,type,
    sK1106: vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_1684,type,
    sK1107: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1685,type,
    sK1108: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1686,type,
    sK1109: vEBT_VEBT > nat > option(product_prod(nat,nat)) ).

thf(func_def_1687,type,
    sK1110: vEBT_VEBT > nat > nat ).

thf(func_def_1688,type,
    sK1111: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_1689,type,
    sK1112: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1690,type,
    sK1113: vEBT_VEBT > nat > $o ).

thf(func_def_1691,type,
    sK1114: vEBT_VEBT > nat > $o ).

thf(func_def_1692,type,
    sK1115: nat > vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_1693,type,
    sK1116: nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1694,type,
    sK1117: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1695,type,
    sK1118: vEBT_VEBT > nat > option(product_prod(nat,nat)) ).

thf(func_def_1696,type,
    sK1119: vEBT_VEBT > nat > nat ).

thf(func_def_1697,type,
    sK1120: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_1698,type,
    sK1121: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1699,type,
    sK1122: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1700,type,
    sK1123: vEBT_VEBT > $o ).

thf(func_def_1701,type,
    sK1124: vEBT_VEBT > $o ).

thf(func_def_1702,type,
    sK1125: vEBT_VEBT > nat > option(product_prod(nat,nat)) ).

thf(func_def_1703,type,
    sK1126: vEBT_VEBT > nat > nat ).

thf(func_def_1704,type,
    sK1127: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_1705,type,
    sK1128: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1706,type,
    sK1129: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1707,type,
    sK1130: nat > vEBT_VEBT > $o ).

thf(func_def_1708,type,
    sK1131: nat > vEBT_VEBT > $o ).

thf(func_def_1709,type,
    sK1132: vEBT_VEBT > nat > nat ).

thf(func_def_1710,type,
    sK1133: vEBT_VEBT > nat > nat ).

thf(func_def_1711,type,
    sK1134: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_1712,type,
    sK1135: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1713,type,
    sK1136: vEBT_VEBT > nat > nat ).

thf(func_def_1714,type,
    sK1137: vEBT_VEBT > nat > nat ).

thf(func_def_1715,type,
    sK1138: vEBT_VEBT > nat > nat ).

thf(func_def_1716,type,
    sK1139: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_1717,type,
    sK1140: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1718,type,
    sK1141: nat > vEBT_VEBT > nat ).

thf(func_def_1719,type,
    sK1142: nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1720,type,
    sK1143: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1721,type,
    sK1144: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1722,type,
    sK1145: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1723,type,
    sK1146: vEBT_VEBT > $o ).

thf(func_def_1724,type,
    sK1147: vEBT_VEBT > $o ).

thf(func_def_1725,type,
    sK1148: vEBT_VEBT > nat > nat ).

thf(func_def_1726,type,
    sK1149: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_1727,type,
    sK1150: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1728,type,
    sK1151: vEBT_VEBT > nat > nat ).

thf(func_def_1729,type,
    sK1152: vEBT_VEBT > nat > nat ).

thf(func_def_1730,type,
    sK1153: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_1731,type,
    sK1154: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1732,type,
    sK1155: vEBT_VEBT > nat > nat ).

thf(func_def_1733,type,
    sK1156: vEBT_VEBT > nat > nat ).

thf(func_def_1734,type,
    sK1157: vEBT_VEBT > nat > nat ).

thf(func_def_1735,type,
    sK1158: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_1736,type,
    sK1159: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1737,type,
    sK1160: nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1738,type,
    sK1161: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1739,type,
    sK1162: nat > vEBT_VEBT > $o ).

thf(func_def_1740,type,
    sK1163: nat > vEBT_VEBT > $o ).

thf(func_def_1741,type,
    sK1164: vEBT_VEBT > nat > nat ).

thf(func_def_1742,type,
    sK1165: vEBT_VEBT > nat > nat ).

thf(func_def_1743,type,
    sK1166: vEBT_VEBT > nat > nat ).

thf(func_def_1744,type,
    sK1167: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_1745,type,
    sK1168: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1746,type,
    sK1169: vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_1747,type,
    sK1170: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1748,type,
    sK1171: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1749,type,
    sK1172: vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_1750,type,
    sK1173: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1751,type,
    sK1174: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1752,type,
    sK1175: vEBT_VEBT > nat ).

thf(func_def_1753,type,
    sK1176: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1754,type,
    sK1177: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1755,type,
    sK1178: nat > vEBT_VEBT > $o ).

thf(func_def_1756,type,
    sK1179: nat > vEBT_VEBT > $o ).

thf(func_def_1757,type,
    sK1180: vEBT_VEBT > nat > nat ).

thf(func_def_1758,type,
    sK1181: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_1759,type,
    sK1182: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1760,type,
    sK1183: vEBT_VEBT > nat > $o ).

thf(func_def_1761,type,
    sK1184: vEBT_VEBT > nat > $o ).

thf(func_def_1762,type,
    sK1185: vEBT_VEBT > nat > nat ).

thf(func_def_1763,type,
    sK1186: vEBT_VEBT > nat > nat ).

thf(func_def_1764,type,
    sK1187: vEBT_VEBT > nat > nat ).

thf(func_def_1765,type,
    sK1188: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_1766,type,
    sK1189: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1767,type,
    sK1190: nat > vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_1768,type,
    sK1191: nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1769,type,
    sK1192: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1770,type,
    sK1193: nat > vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_1771,type,
    sK1194: nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_1772,type,
    sK1195: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1773,type,
    sK1196: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_1774,type,
    sK1197: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

thf(func_def_1775,type,
    sK1198: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

thf(func_def_1776,type,
    sK1199: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

thf(func_def_1777,type,
    sK1200: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

thf(func_def_1778,type,
    sK1201: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

thf(func_def_1779,type,
    sK1202: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

thf(func_def_1780,type,
    sK1203: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > X0 ) ).

thf(func_def_1781,type,
    sK1204: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

thf(func_def_1782,type,
    sK1205: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

thf(func_def_1783,type,
    sK1206: 
      !>[X0: $tType] : ( product_prod(list(X0),list(X0)) > list(X0) ) ).

thf(func_def_1784,type,
    sK1207: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),list(X0)) > X0 > X0 > $o ) ).

thf(func_def_1785,type,
    sK1208: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),list(X0)) > X0 ) ).

thf(func_def_1786,type,
    sK1209: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),list(X0)) > X0 ) ).

thf(func_def_1787,type,
    sK1210: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),list(X0)) > list(X0) ) ).

thf(func_def_1788,type,
    sK1211: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),list(X0)) > X0 > X0 > $o ) ).

thf(func_def_1789,type,
    sK1212: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),list(X0)) > X0 ) ).

thf(func_def_1790,type,
    sK1213: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),list(X0)) > X0 > X0 > $o ) ).

thf(func_def_1791,type,
    sK1214: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),list(X0)) > X0 > X0 > $o ) ).

thf(func_def_1792,type,
    sK1215: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),list(X0)) > X0 ) ).

thf(func_def_1793,type,
    sK1216: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),list(X0)) > list(X0) ) ).

thf(func_def_1794,type,
    sK1217: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),list(X0)) > X0 > X0 > $o ) ).

thf(func_def_1795,type,
    sK1218: ( nat > $o ) > nat ).

thf(func_def_1796,type,
    sK1219: ( extended_enat > $o ) > extended_enat ).

thf(func_def_1797,type,
    sK1220: ( nat > $o ) > nat ).

thf(func_def_1798,type,
    sK1221: ( nat > $o ) > nat ).

thf(func_def_1799,type,
    sK1222: set(nat) > nat > nat ).

thf(func_def_1800,type,
    sK1223: ( nat > $o ) > nat > nat ).

thf(func_def_1801,type,
    sK1224: nat > set(nat) > nat ).

thf(func_def_1802,type,
    sK1225: nat > set(nat) > nat ).

thf(func_def_1803,type,
    sK1226: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

thf(func_def_1804,type,
    sK1227: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

thf(func_def_1805,type,
    sK1228: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1806,type,
    sK1229: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_1807,type,
    sK1230: ( int > $o ) > nat ).

thf(func_def_1808,type,
    sK1231: ( int > $o ) > nat ).

thf(func_def_1809,type,
    sK1232: ( nat > nat ) > nat ).

thf(func_def_1810,type,
    sK1233: ( nat > real ) > nat ).

thf(func_def_1811,type,
    sK1234: ( nat > real ) > nat ).

thf(func_def_1812,type,
    sK1235: ( nat > real ) > nat ).

thf(func_def_1813,type,
    sK1236: real > ( nat > real ) > real ).

thf(func_def_1814,type,
    sK1237: real > ( nat > real ) > nat ).

thf(func_def_1815,type,
    sK1238: ( nat > real ) > nat ).

thf(func_def_1816,type,
    sK1239: ( nat > real ) > ( nat > real ) > real ).

thf(func_def_1817,type,
    sK1240: ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_1818,type,
    sK1241: ( nat > real ) > nat ).

thf(func_def_1819,type,
    sK1242: ( nat > real ) > nat ).

thf(func_def_1820,type,
    sK1243: ( real > real ) > real ).

thf(func_def_1821,type,
    sK1244: ( real > real ) > ( real > real ) > real ).

thf(func_def_1822,type,
    sK1245: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),product_prod(option(X0),option(X0))) > X0 > X0 > $o ) ).

thf(func_def_1823,type,
    sK1246: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

thf(func_def_1824,type,
    sK1247: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

thf(func_def_1825,type,
    sK1248: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),product_prod(option(X0),option(X0))) > X0 > X0 > $o ) ).

thf(func_def_1826,type,
    sK1249: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),product_prod(option(X0),option(X0))) > X0 ) ).

thf(func_def_1827,type,
    sK1250: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),product_prod(option(X0),option(X0))) > X0 > X0 > $o ) ).

thf(func_def_1828,type,
    sK1251: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,$o)),product_prod(option(X0),option(X0))) > option(X0) ) ).

thf(func_def_1829,type,
    sK1252: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,X0)),product_prod(option(X0),option(X0))) > X0 > X0 > X0 ) ).

thf(func_def_1830,type,
    sK1253: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

thf(func_def_1831,type,
    sK1254: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

thf(func_def_1832,type,
    sK1255: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,X0)),product_prod(option(X0),option(X0))) > X0 > X0 > X0 ) ).

thf(func_def_1833,type,
    sK1256: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,X0)),product_prod(option(X0),option(X0))) > X0 ) ).

thf(func_def_1834,type,
    sK1257: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,X0)),product_prod(option(X0),option(X0))) > X0 > X0 > X0 ) ).

thf(func_def_1835,type,
    sK1258: 
      !>[X0: $tType] : ( product_prod(sTfun(X0,sTfun(X0,X0)),product_prod(option(X0),option(X0))) > option(X0) ) ).

thf(func_def_1836,type,
    sK1259: ( real > $o ) > real ).

thf(func_def_1837,type,
    sK1260: ( real > $o ) > real ).

thf(func_def_1838,type,
    sK1261: ( real > $o ) > nat ).

thf(func_def_1839,type,
    sK1262: ( real > $o ) > nat ).

thf(func_def_1840,type,
    sK1263: ( real > $o ) > real ).

thf(func_def_1841,type,
    sK1264: ( real > $o ) > real ).

thf(func_def_1842,type,
    sK1265: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_1843,type,
    sK1266: nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_1844,type,
    sK1267: nat > ( nat > $o ) > nat ).

thf(func_def_1845,type,
    sK1268: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1846,type,
    sK1269: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > $o ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1847,type,
    sK1270: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1848,type,
    sK1271: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1849,type,
    sK1272: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1850,type,
    sK1273: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1851,type,
    sK1274: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1852,type,
    sK1275: 
      !>[X0: $tType,X1: $tType] : ( filter(X1) > ( X1 > X0 > $o ) > X0 ) ).

thf(func_def_1853,type,
    sK1276: 
      !>[X0: $tType,X1: $tType] : ( filter(X1) > ( X1 > X0 ) > X0 > X0 ) ).

thf(func_def_1854,type,
    sK1277: 
      !>[X0: $tType,X1: $tType] : ( filter(X1) > ( X1 > X0 ) > X0 > X0 ) ).

thf(func_def_1855,type,
    sK1278: 
      !>[X0: $tType,X1: $tType] : ( filter(X1) > ( X1 > X0 ) > X0 > X0 ) ).

thf(func_def_1856,type,
    sK1279: 
      !>[X0: $tType,X1: $tType] : ( filter(X1) > X0 > ( X1 > X0 ) > X0 ) ).

thf(func_def_1857,type,
    sK1280: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1858,type,
    sK1281: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1859,type,
    sK1282: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1860,type,
    sK1283: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1861,type,
    sK1284: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1862,type,
    sK1285: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1863,type,
    sK1286: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1864,type,
    sK1287: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1865,type,
    sK1288: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1866,type,
    sK1289: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1867,type,
    sK1290: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1868,type,
    sK1291: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1869,type,
    sK1292: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

thf(func_def_1870,type,
    sK1293: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 ) ).

thf(func_def_1871,type,
    sK1294: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1872,type,
    sK1295: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > set(X1) > X1 ) ).

thf(func_def_1873,type,
    sK1296: 
      !>[X0: $tType,X1: $tType] : ( X1 > ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1874,type,
    sK1297: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1875,type,
    sK1298: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1876,type,
    sK1299: 
      !>[X0: $tType,X1: $tType] : ( filter(X1) > X0 > ( X1 > X0 ) > real ) ).

thf(func_def_1877,type,
    sK1300: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > real > set(X1) > X1 > ( X1 > X0 ) > X1 ) ).

thf(func_def_1878,type,
    sK1301: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > set(X1) > X1 ) ).

thf(func_def_1879,type,
    sK1302: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > set(X1) > X1 ) ).

thf(func_def_1880,type,
    sK1303: 
      !>[X0: $tType,X1: $tType] : ( X0 > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1881,type,
    sK1304: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1882,type,
    sK1305: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1883,type,
    sK1306: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1884,type,
    sK1307: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1885,type,
    sK1308: 
      !>[X0: $tType,X1: $tType] : ( X1 > ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1886,type,
    sK1309: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > set(X1) > X1 ) ).

thf(func_def_1887,type,
    sK1310: 
      !>[X0: $tType,X1: $tType] : ( X0 > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1888,type,
    sK1311: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X1 > set(X0) > X1 ) ).

thf(func_def_1889,type,
    sK1312: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > X1 > set(X0) > X0 ) ).

thf(func_def_1890,type,
    sK1313: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > set(X1) > X1 ) ).

thf(func_def_1891,type,
    sK1314: 
      !>[X0: $tType,X1: $tType] : ( X1 > ( X0 > X1 ) > set(X0) > X1 ) ).

thf(func_def_1892,type,
    sK1315: 
      !>[X0: $tType,X1: $tType] : ( X1 > ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1893,type,
    sK1316: 
      !>[X0: $tType,X1: $tType] : ( X1 > ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1894,type,
    sK1317: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1895,type,
    sK1318: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1896,type,
    sK1319: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1897,type,
    sK1320: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1898,type,
    sK1321: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > ( X0 > X1 ) > X0 ) ).

thf(func_def_1899,type,
    sK1322: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1900,type,
    sK1323: 
      !>[X0: $tType,X1: $tType] : ( set(set(X0)) > ( X0 > X1 ) > set(X0) ) ).

thf(func_def_1901,type,
    sK1324: 
      !>[X0: $tType,X1: $tType] : ( set(set(X0)) > ( X0 > X1 ) > set(X0) ) ).

thf(func_def_1902,type,
    sK1325: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1903,type,
    sK1326: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

thf(func_def_1904,type,
    sK1327: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1905,type,
    sK1328: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1906,type,
    sK1329: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1907,type,
    sK1330: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1908,type,
    sK1331: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1909,type,
    sK1332: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1910,type,
    sK1333: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1911,type,
    sK1334: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1912,type,
    sK1335: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1913,type,
    sK1336: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1914,type,
    sK1337: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1915,type,
    sK1338: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1916,type,
    sK1339: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1917,type,
    sK1340: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > ( X0 > X0 > $o ) > X1 ) ).

thf(func_def_1918,type,
    sK1341: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1919,type,
    sK1342: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1920,type,
    sK1343: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1921,type,
    sK1344: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1922,type,
    sK1345: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1923,type,
    sK1346: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1924,type,
    sK1347: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1925,type,
    sK1348: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1926,type,
    sK1349: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1927,type,
    sK1350: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1928,type,
    sK1351: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1929,type,
    sK1352: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1930,type,
    sK1353: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1931,type,
    sK1354: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1932,type,
    sK1355: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1933,type,
    sK1356: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1934,type,
    sK1357: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1935,type,
    sK1358: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1936,type,
    sK1359: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_1937,type,
    sK1360: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > ( X0 > X0 > $o ) > X1 ) ).

thf(func_def_1938,type,
    sK1361: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1939,type,
    sK1362: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1940,type,
    sK1363: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1941,type,
    sK1364: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1942,type,
    sK1365: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1943,type,
    sK1366: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1944,type,
    sK1367: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1945,type,
    sK1368: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1946,type,
    sK1369: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1947,type,
    sK1370: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_1948,type,
    sK1371: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1949,type,
    sK1372: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_1950,type,
    sK1373: 
      !>[X0: $tType,X1: $tType] : ( product_prod(sTfun(X1,X0),list(X1)) > X1 > X0 ) ).

thf(func_def_1951,type,
    sK1374: 
      !>[X0: $tType,X1: $tType] : ( product_prod(sTfun(X1,X0),list(X1)) > X1 > X0 ) ).

thf(func_def_1952,type,
    sK1375: 
      !>[X0: $tType,X1: $tType] : ( product_prod(sTfun(X1,X0),list(X1)) > X1 ) ).

thf(func_def_1953,type,
    sK1376: 
      !>[X0: $tType,X1: $tType] : ( product_prod(sTfun(X1,X0),list(X1)) > X1 ) ).

thf(func_def_1954,type,
    sK1377: 
      !>[X0: $tType,X1: $tType] : ( product_prod(sTfun(X1,X0),list(X1)) > list(X1) ) ).

thf(func_def_1955,type,
    sK1378: 
      !>[X0: $tType,X1: $tType] : ( product_prod(sTfun(X1,X0),list(X1)) > X1 > X0 ) ).

thf(func_def_1956,type,
    sK1379: 
      !>[X0: $tType,X1: $tType] : ( product_prod(sTfun(X1,X0),list(X1)) > X1 ) ).

thf(func_def_1957,type,
    sK1380: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1958,type,
    sK1381: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_1959,type,
    sK1382: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( set(X1) > $o ) > X1 ) ).

thf(func_def_1960,type,
    sK1383: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( set(X1) > $o ) > set(X1) ) ).

thf(func_def_1961,type,
    sK1384: 
      !>[X0: $tType,X1: $tType] : ( X1 > ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1962,type,
    sK1385: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1963,type,
    sK1386: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1964,type,
    sK1387: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1965,type,
    sK1388: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X1) > X1 ) ).

thf(func_def_1966,type,
    sK1389: 
      !>[X0: $tType,X1: $tType] : ( X1 > X1 > ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1967,type,
    sK1390: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_1968,type,
    sK1391: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > X0 ) ).

thf(func_def_1969,type,
    sK1392: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > X0 ) ).

thf(func_def_1970,type,
    sK1393: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_1971,type,
    sK1394: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_1972,type,
    sK1395: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_1973,type,
    sK1396: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_1974,type,
    sK1397: 
      !>[X0: $tType,X1: $tType] : ( filter(X1) > ( X1 > X0 ) > X0 > set(X0) ) ).

thf(func_def_1975,type,
    sK1398: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X0) > ( X1 > set(X0) ) > set(X1) ) ).

thf(func_def_1976,type,
    sK1399: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > set(X1) ) > set(X0) > X0 ) ).

thf(func_def_1977,type,
    sK1400: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X0) > ( X1 > set(X0) ) > set(X1) ) ).

thf(func_def_1978,type,
    sK1401: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_1979,type,
    sK1402: 
      !>[X0: $tType,X1: $tType] : ( filter(X1) > ( X1 > X0 ) > real ) ).

thf(func_def_1980,type,
    sK1403: 
      !>[X0: $tType,X1: $tType] : ( real > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1981,type,
    sK1404: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > real ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_1982,type,
    sK1405: ( num > $o ) > num ).

thf(func_def_1983,type,
    sK1406: nat > ( nat > $o ) > nat ).

thf(func_def_1984,type,
    sK1407: nat > ( nat > $o ) > nat ).

thf(func_def_1985,type,
    sK1408: ( nat > $o ) > nat ).

thf(func_def_1986,type,
    sK1409: ( int > $o ) > int ).

thf(func_def_1987,type,
    sK1410: ( int > $o ) > int ).

thf(func_def_1988,type,
    sK1411: ( nat > $o ) > nat ).

thf(func_def_1989,type,
    sK1412: ( nat > $o ) > nat ).

thf(func_def_1990,type,
    sK1413: ( nat > $o ) > nat ).

thf(func_def_1991,type,
    sK1414: ( nat > $o ) > nat ).

thf(func_def_1992,type,
    sK1415: ( nat > $o ) > nat ).

thf(func_def_1993,type,
    sK1416: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

thf(func_def_1994,type,
    sK1417: 
      !>[X0: $tType] : ( set(X0) > list(X0) ) ).

thf(func_def_1995,type,
    sK1418: 
      !>[X0: $tType] : ( set(X0) > nat > X0 ) ).

thf(func_def_1996,type,
    sK1419: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

thf(func_def_1997,type,
    sK1420: 
      !>[X0: $tType] : ( set(X0) > nat > X0 ) ).

thf(func_def_1998,type,
    sK1421: 
      !>[X0: $tType] : ( set(X0) > X0 > nat ) ).

thf(func_def_1999,type,
    sK1422: 
      !>[X0: $tType] : ( set(X0) > nat ) ).

thf(func_def_2000,type,
    sK1423: ( nat > real ) > real ).

thf(func_def_2001,type,
    sK1424: real > ( nat > real ) > nat ).

thf(func_def_2002,type,
    sK1425: nat > ( nat > real ) > nat ).

thf(func_def_2003,type,
    sK1426: ( nat > nat ) > ( nat > real ) > nat ).

thf(func_def_2004,type,
    sK1427: ( nat > real ) > nat ).

thf(func_def_2005,type,
    sK1428: ( nat > real ) > nat ).

thf(func_def_2006,type,
    sK1429: ( nat > real ) > nat ).

thf(func_def_2007,type,
    sK1430: ( nat > real ) > real ).

thf(func_def_2008,type,
    sK1431: real > ( nat > real ) > nat ).

thf(func_def_2009,type,
    sK1432: real > ( nat > real ) > nat ).

thf(func_def_2010,type,
    sK1433: ( nat > real ) > real ).

thf(func_def_2011,type,
    sK1434: real > ( nat > real ) > nat ).

thf(func_def_2012,type,
    sK1435: real > ( nat > real ) > nat ).

thf(func_def_2013,type,
    sK1436: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

thf(func_def_2014,type,
    sK1437: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

thf(func_def_2015,type,
    sK1438: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

thf(func_def_2016,type,
    sK1439: 
      !>[X0: $tType] : ( set(list(X0)) > nat ) ).

thf(func_def_2017,type,
    sK1440: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

thf(func_def_2018,type,
    sK1441: vEBT_VEBT > nat > $o ).

thf(func_def_2019,type,
    sK1442: vEBT_VEBT > nat > $o ).

thf(func_def_2020,type,
    sK1443: nat > vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_2021,type,
    sK1444: nat > vEBT_VEBT > nat ).

thf(func_def_2022,type,
    sK1445: nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2023,type,
    sK1446: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2024,type,
    sK1447: vEBT_VEBT > nat > $o ).

thf(func_def_2025,type,
    sK1448: vEBT_VEBT > nat > $o ).

thf(func_def_2026,type,
    sK1449: nat > vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_2027,type,
    sK1450: nat > vEBT_VEBT > nat ).

thf(func_def_2028,type,
    sK1451: nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2029,type,
    sK1452: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2030,type,
    sK1453: vEBT_VEBT > nat > option(product_prod(nat,nat)) ).

thf(func_def_2031,type,
    sK1454: vEBT_VEBT > nat > nat ).

thf(func_def_2032,type,
    sK1455: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2033,type,
    sK1456: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2034,type,
    sK1457: vEBT_VEBT > $o ).

thf(func_def_2035,type,
    sK1458: vEBT_VEBT > $o ).

thf(func_def_2036,type,
    sK1459: vEBT_VEBT > nat > option(product_prod(nat,nat)) ).

thf(func_def_2037,type,
    sK1460: vEBT_VEBT > nat > nat ).

thf(func_def_2038,type,
    sK1461: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2039,type,
    sK1462: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2040,type,
    sK1463: nat > vEBT_VEBT > $o ).

thf(func_def_2041,type,
    sK1464: nat > vEBT_VEBT > $o ).

thf(func_def_2042,type,
    sK1465: vEBT_VEBT > nat > nat ).

thf(func_def_2043,type,
    sK1466: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2044,type,
    sK1467: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2045,type,
    sK1468: vEBT_VEBT > nat > nat ).

thf(func_def_2046,type,
    sK1469: vEBT_VEBT > nat > nat ).

thf(func_def_2047,type,
    sK1470: vEBT_VEBT > nat > nat ).

thf(func_def_2048,type,
    sK1471: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2049,type,
    sK1472: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2050,type,
    sK1473: nat > vEBT_VEBT > nat ).

thf(func_def_2051,type,
    sK1474: nat > vEBT_VEBT > nat ).

thf(func_def_2052,type,
    sK1475: nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2053,type,
    sK1476: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2054,type,
    sK1477: vEBT_VEBT > nat > nat ).

thf(func_def_2055,type,
    sK1478: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2056,type,
    sK1479: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2057,type,
    sK1480: vEBT_VEBT > nat > nat ).

thf(func_def_2058,type,
    sK1481: vEBT_VEBT > nat > nat ).

thf(func_def_2059,type,
    sK1482: vEBT_VEBT > nat > nat ).

thf(func_def_2060,type,
    sK1483: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2061,type,
    sK1484: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2062,type,
    sK1485: nat > vEBT_VEBT > nat ).

thf(func_def_2063,type,
    sK1486: nat > vEBT_VEBT > nat ).

thf(func_def_2064,type,
    sK1487: nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2065,type,
    sK1488: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2066,type,
    sK1489: vEBT_VEBT > nat > $o ).

thf(func_def_2067,type,
    sK1490: vEBT_VEBT > nat > $o ).

thf(func_def_2068,type,
    sK1491: nat > vEBT_VEBT > nat ).

thf(func_def_2069,type,
    sK1492: nat > vEBT_VEBT > nat ).

thf(func_def_2070,type,
    sK1493: nat > vEBT_VEBT > nat ).

thf(func_def_2071,type,
    sK1494: nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2072,type,
    sK1495: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2073,type,
    sK1496: vEBT_VEBT > nat > $o ).

thf(func_def_2074,type,
    sK1497: vEBT_VEBT > nat > $o ).

thf(func_def_2075,type,
    sK1498: nat > vEBT_VEBT > nat ).

thf(func_def_2076,type,
    sK1499: nat > vEBT_VEBT > nat ).

thf(func_def_2077,type,
    sK1500: nat > vEBT_VEBT > nat ).

thf(func_def_2078,type,
    sK1501: nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2079,type,
    sK1502: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2080,type,
    sK1503: vEBT_VEBT > $o ).

thf(func_def_2081,type,
    sK1504: vEBT_VEBT > $o ).

thf(func_def_2082,type,
    sK1505: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2083,type,
    sK1506: vEBT_VEBT > nat > nat ).

thf(func_def_2084,type,
    sK1507: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2085,type,
    sK1508: vEBT_VEBT > nat > nat ).

thf(func_def_2086,type,
    sK1509: vEBT_VEBT > nat > nat ).

thf(func_def_2087,type,
    sK1510: vEBT_VEBT > nat > nat ).

thf(func_def_2088,type,
    sK1511: vEBT_VEBT > nat > nat ).

thf(func_def_2089,type,
    sK1512: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2090,type,
    sK1513: vEBT_VEBT > nat > nat ).

thf(func_def_2091,type,
    sK1514: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2092,type,
    sK1515: vEBT_VEBT > nat > nat ).

thf(func_def_2093,type,
    sK1516: vEBT_VEBT > nat > nat ).

thf(func_def_2094,type,
    sK1517: vEBT_VEBT > nat > nat ).

thf(func_def_2095,type,
    sK1518: vEBT_VEBT > nat > nat ).

thf(func_def_2096,type,
    sK1519: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2097,type,
    sK1520: vEBT_VEBT > nat > nat ).

thf(func_def_2098,type,
    sK1521: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2099,type,
    sK1522: vEBT_VEBT > nat > nat ).

thf(func_def_2100,type,
    sK1523: vEBT_VEBT > nat > nat ).

thf(func_def_2101,type,
    sK1524: vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2102,type,
    sK1525: vEBT_VEBT > nat > nat ).

thf(func_def_2103,type,
    sK1526: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2104,type,
    sK1527: vEBT_VEBT > nat > nat ).

thf(func_def_2105,type,
    sK1528: vEBT_VEBT > nat > nat ).

thf(func_def_2106,type,
    sK1529: vEBT_VEBT > $o ).

thf(func_def_2107,type,
    sK1530: vEBT_VEBT > $o ).

thf(func_def_2108,type,
    sK1531: nat > nat > nat ).

thf(func_def_2109,type,
    sK1532: nat > nat > nat ).

thf(func_def_2110,type,
    sK1533: nat > nat > nat ).

thf(func_def_2111,type,
    sK1534: nat > nat > nat ).

thf(func_def_2112,type,
    sK1535: nat > nat > nat ).

thf(func_def_2113,type,
    sK1536: ( int > $o ) > int > int ).

thf(func_def_2114,type,
    sK1537: ( int > $o ) > int > int ).

thf(func_def_2115,type,
    sK1538: real > real > nat ).

thf(func_def_2116,type,
    sK1539: real > real > nat ).

thf(func_def_2117,type,
    sK1540: nat > real > real ).

thf(func_def_2118,type,
    sK1541: nat > real > real ).

thf(func_def_2119,type,
    sK1542: nat > real > real ).

thf(func_def_2120,type,
    sK1543: real > real > real ).

thf(func_def_2121,type,
    sK1544: real > real > real ).

thf(func_def_2122,type,
    sK1545: real > real > nat ).

thf(func_def_2123,type,
    sK1546: ( nat > $o ) > nat ).

thf(func_def_2124,type,
    sK1547: real > nat > real ).

thf(func_def_2125,type,
    sK1548: real > nat > real ).

thf(func_def_2126,type,
    sK1549: real > nat > real ).

thf(func_def_2127,type,
    sK1550: real > nat > real ).

thf(func_def_2128,type,
    sK1551: nat > nat > nat ).

thf(func_def_2129,type,
    sK1552: nat > nat ).

thf(func_def_2130,type,
    sK1553: ( real > real ) > set(real) > real ).

thf(func_def_2131,type,
    sK1554: ( real > real ) > set(real) > real ).

thf(func_def_2132,type,
    sK1555: nat > vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_2133,type,
    sK1556: nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2134,type,
    sK1557: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2135,type,
    sK1558: nat > nat > nat ).

thf(func_def_2136,type,
    sK1559: nat > nat > nat ).

thf(func_def_2137,type,
    sK1560: ( nat > real ) > nat ).

thf(func_def_2138,type,
    sK1561: ( nat > real ) > nat ).

thf(func_def_2139,type,
    sK1562: ( nat > real ) > nat ).

thf(func_def_2140,type,
    sK1563: ( nat > real ) > nat ).

thf(func_def_2141,type,
    sK1564: real > ( nat > real ) > nat > int ).

thf(func_def_2142,type,
    sK1565: 
      !>[X0: $tType] : ( product_prod(sTfun(nat,sTfun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat > X0 > X0 ) ).

thf(func_def_2143,type,
    sK1566: 
      !>[X0: $tType] : ( product_prod(sTfun(nat,sTfun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

thf(func_def_2144,type,
    sK1567: 
      !>[X0: $tType] : ( product_prod(sTfun(nat,sTfun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > nat ) ).

thf(func_def_2145,type,
    sK1568: 
      !>[X0: $tType] : ( product_prod(sTfun(nat,sTfun(X0,X0)),product_prod(nat,product_prod(nat,X0))) > X0 ) ).

thf(func_def_2146,type,
    sK1569: 
      !>[X0: $tType] : ( nat > list(X0) ) ).

thf(func_def_2147,type,
    sK1570: nat > real > real ).

thf(func_def_2148,type,
    sK1571: nat > real > real ).

thf(func_def_2149,type,
    sK1572: nat > real > real ).

thf(func_def_2150,type,
    sK1573: nat > real > real ).

thf(func_def_2151,type,
    sK1574: real > real > real ).

thf(func_def_2152,type,
    sK1575: real > real > real ).

thf(func_def_2153,type,
    sK1576: nat > nat > nat ).

thf(func_def_2154,type,
    sK1577: nat > nat > nat ).

thf(func_def_2155,type,
    sK1578: nat > nat > nat ).

thf(func_def_2156,type,
    sK1579: nat > nat > nat ).

thf(func_def_2157,type,
    sK1580: nat > nat > nat ).

thf(func_def_2158,type,
    sK1581: nat > nat > nat ).

thf(func_def_2159,type,
    sK1582: nat > nat > nat ).

thf(func_def_2160,type,
    sK1583: nat > nat > nat ).

thf(func_def_2161,type,
    sK1584: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2162,type,
    sK1585: 
      !>[X0: $tType] : ( list(X0) > list(X0) > X0 ) ).

thf(func_def_2163,type,
    sK1586: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2164,type,
    sK1587: 
      !>[X0: $tType] : ( list(X0) > list(X0) > X0 ) ).

thf(func_def_2165,type,
    sK1588: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2166,type,
    sK1589: 
      !>[X0: $tType] : ( list(X0) > list(X0) > nat ) ).

thf(func_def_2167,type,
    sK1590: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2168,type,
    sK1591: 
      !>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).

thf(func_def_2169,type,
    sK1592: 
      !>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).

thf(func_def_2170,type,
    sK1593: 
      !>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).

thf(func_def_2171,type,
    sK1594: 
      !>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).

thf(func_def_2172,type,
    sK1595: 
      !>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).

thf(func_def_2173,type,
    sK1596: 
      !>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).

thf(func_def_2174,type,
    sK1597: 
      !>[X0: $tType] : ( list(X0) > list(X0) > X0 ) ).

thf(func_def_2175,type,
    sK1598: 
      !>[X0: $tType] : ( list(X0) > list(X0) > X0 ) ).

thf(func_def_2176,type,
    sK1599: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2177,type,
    sK1600: 
      !>[X0: $tType] : ( list(X0) > list(X0) > X0 ) ).

thf(func_def_2178,type,
    sK1601: 
      !>[X0: $tType] : ( nat > set(X0) > X0 ) ).

thf(func_def_2179,type,
    sK1602: 
      !>[X0: $tType] : ( nat > set(X0) > set(X0) ) ).

thf(func_def_2180,type,
    sK1603: num > num > num > num ).

thf(func_def_2181,type,
    sK1604: num > num > num > num ).

thf(func_def_2182,type,
    sK1605: num > num ).

thf(func_def_2183,type,
    sK1606: num > num > num > num ).

thf(func_def_2184,type,
    sK1607: num > num > num > num ).

thf(func_def_2185,type,
    sK1608: num > num > num > num ).

thf(func_def_2186,type,
    sK1609: num > num > num > num ).

thf(func_def_2187,type,
    sK1610: num > num ).

thf(func_def_2188,type,
    sK1611: num > num > num ).

thf(func_def_2189,type,
    sK1612: num > num > num ).

thf(func_def_2190,type,
    sK1613: num > num > num > num ).

thf(func_def_2191,type,
    sK1614: num > num > num > num ).

thf(func_def_2192,type,
    sK1615: vEBT_VEBT > vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_2193,type,
    sK1616: vEBT_VEBT > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2194,type,
    sK1617: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2195,type,
    sK1618: vEBT_VEBT > vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_2196,type,
    sK1619: vEBT_VEBT > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2197,type,
    sK1620: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2198,type,
    sK1621: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2199,type,
    sK1622: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2200,type,
    sK1623: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2201,type,
    sK1624: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2202,type,
    sK1625: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2203,type,
    sK1626: vEBT_VEBT > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2204,type,
    sK1627: vEBT_VEBT > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2205,type,
    sK1628: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2206,type,
    sK1629: vEBT_VEBT > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2207,type,
    sK1630: vEBT_VEBT > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2208,type,
    sK1631: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_2209,type,
    sK1632: vEBT_VEBT > vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2210,type,
    sK1633: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2211,type,
    sK1634: vEBT_VEBT > vEBT_VEBT > nat > option(product_prod(nat,nat)) ).

thf(func_def_2212,type,
    sK1635: vEBT_VEBT > vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2213,type,
    sK1636: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2214,type,
    sK1637: vEBT_VEBT > vEBT_VEBT > nat > option(product_prod(nat,nat)) ).

thf(func_def_2215,type,
    sK1638: vEBT_VEBT > vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2216,type,
    sK1639: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2217,type,
    sK1640: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_2218,type,
    sK1641: vEBT_VEBT > vEBT_VEBT > nat > $o ).

thf(func_def_2219,type,
    sK1642: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2220,type,
    sK1643: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2221,type,
    sK1644: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2222,type,
    sK1645: vEBT_VEBT > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2223,type,
    sK1646: vEBT_VEBT > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2224,type,
    sK1647: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2225,type,
    sK1648: vEBT_VEBT > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2226,type,
    sK1649: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2227,type,
    sK1650: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2228,type,
    sK1651: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2229,type,
    sK1652: nat > nat ).

thf(func_def_2230,type,
    sK1653: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2231,type,
    sK1654: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2232,type,
    sK1655: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2233,type,
    sK1656: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2234,type,
    sK1657: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2235,type,
    sK1658: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2236,type,
    sK1659: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2237,type,
    sK1660: vEBT_VEBT > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2238,type,
    sK1661: vEBT_VEBT > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2239,type,
    sK1662: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2240,type,
    sK1663: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2241,type,
    sK1664: vEBT_VEBT > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2242,type,
    sK1665: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2243,type,
    sK1666: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2244,type,
    sK1667: vEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_2245,type,
    sK1668: vEBT_VEBT > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2246,type,
    sK1669: vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2247,type,
    sK1670: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_2248,type,
    sK1671: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_2249,type,
    sK1672: vEBT_VEBT > vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2250,type,
    sK1673: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2251,type,
    sK1674: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_2252,type,
    sK1675: vEBT_VEBT > vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2253,type,
    sK1676: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2254,type,
    sK1677: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_2255,type,
    sK1678: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_2256,type,
    sK1679: vEBT_VEBT > vEBT_VEBT > nat > nat ).

thf(func_def_2257,type,
    sK1680: vEBT_VEBT > vEBT_VEBT > nat > list(vEBT_VEBT) ).

thf(func_def_2258,type,
    sK1681: vEBT_VEBT > vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2259,type,
    sK1682: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2260,type,
    sK1683: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2261,type,
    sK1684: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2262,type,
    sK1685: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2263,type,
    sK1686: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2264,type,
    sK1687: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2265,type,
    sK1688: vEBT_VEBT > nat > vEBT_VEBT > $o ).

thf(func_def_2266,type,
    sK1689: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2267,type,
    sK1690: vEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_2268,type,
    sK1691: vEBT_VEBT > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2269,type,
    sK1692: vEBT_VEBT > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2270,type,
    sK1693: vEBT_VEBT > nat > $o > $o ).

thf(func_def_2271,type,
    sK1694: vEBT_VEBT > nat > $o > $o ).

thf(func_def_2272,type,
    sK1695: $o > nat > vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_2273,type,
    sK1696: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2274,type,
    sK1697: $o > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2275,type,
    sK1698: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2276,type,
    sK1699: vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_2277,type,
    sK1700: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2278,type,
    sK1701: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2279,type,
    sK1702: vEBT_VEBT > $o > nat > option(product_prod(nat,nat)) ).

thf(func_def_2280,type,
    sK1703: vEBT_VEBT > $o > nat > list(vEBT_VEBT) ).

thf(func_def_2281,type,
    sK1704: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2282,type,
    sK1705: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2283,type,
    sK1706: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2284,type,
    sK1707: $o > nat > vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_2285,type,
    sK1708: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2286,type,
    sK1709: $o > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2287,type,
    sK1710: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2288,type,
    sK1711: $o > nat > vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_2289,type,
    sK1712: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2290,type,
    sK1713: $o > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2291,type,
    sK1714: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2292,type,
    sK1715: vEBT_VEBT > $o ).

thf(func_def_2293,type,
    sK1716: vEBT_VEBT > $o ).

thf(func_def_2294,type,
    sK1717: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2295,type,
    sK1718: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2296,type,
    sK1719: $o > nat > vEBT_VEBT > option(product_prod(nat,nat)) ).

thf(func_def_2297,type,
    sK1720: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2298,type,
    sK1721: $o > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2299,type,
    sK1722: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2300,type,
    sK1723: vEBT_VEBT > nat > $o > nat ).

thf(func_def_2301,type,
    sK1724: vEBT_VEBT > nat > $o > nat ).

thf(func_def_2302,type,
    sK1725: vEBT_VEBT > nat > $o > list(vEBT_VEBT) ).

thf(func_def_2303,type,
    sK1726: vEBT_VEBT > nat > $o > vEBT_VEBT ).

thf(func_def_2304,type,
    sK1727: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2305,type,
    sK1728: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2306,type,
    sK1729: vEBT_VEBT > $o ).

thf(func_def_2307,type,
    sK1730: vEBT_VEBT > $o ).

thf(func_def_2308,type,
    sK1731: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2309,type,
    sK1732: $o > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2310,type,
    sK1733: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2311,type,
    sK1734: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2312,type,
    sK1735: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2313,type,
    sK1736: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2314,type,
    sK1737: $o > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2315,type,
    sK1738: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2316,type,
    sK1739: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2317,type,
    sK1740: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2318,type,
    sK1741: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2319,type,
    sK1742: vEBT_VEBT > $o > nat > list(vEBT_VEBT) ).

thf(func_def_2320,type,
    sK1743: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2321,type,
    sK1744: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2322,type,
    sK1745: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2323,type,
    sK1746: vEBT_VEBT > $o > nat > list(vEBT_VEBT) ).

thf(func_def_2324,type,
    sK1747: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2325,type,
    sK1748: vEBT_VEBT > $o > nat > list(vEBT_VEBT) ).

thf(func_def_2326,type,
    sK1749: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2327,type,
    sK1750: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2328,type,
    sK1751: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2329,type,
    sK1752: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2330,type,
    sK1753: $o > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2331,type,
    sK1754: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2332,type,
    sK1755: vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_2333,type,
    sK1756: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2334,type,
    sK1757: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2335,type,
    sK1758: vEBT_VEBT > nat ).

thf(func_def_2336,type,
    sK1759: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2337,type,
    sK1760: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2338,type,
    sK1761: vEBT_VEBT > nat > $o > $o ).

thf(func_def_2339,type,
    sK1762: vEBT_VEBT > nat > $o > $o ).

thf(func_def_2340,type,
    sK1763: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2341,type,
    sK1764: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2342,type,
    sK1765: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2343,type,
    sK1766: $o > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2344,type,
    sK1767: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2345,type,
    sK1768: vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_2346,type,
    sK1769: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2347,type,
    sK1770: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2348,type,
    sK1771: vEBT_VEBT > $o > nat > product_prod(nat,nat) ).

thf(func_def_2349,type,
    sK1772: vEBT_VEBT > $o > nat > list(vEBT_VEBT) ).

thf(func_def_2350,type,
    sK1773: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2351,type,
    sK1774: vEBT_VEBT > $o > nat > product_prod(nat,nat) ).

thf(func_def_2352,type,
    sK1775: vEBT_VEBT > $o > nat > list(vEBT_VEBT) ).

thf(func_def_2353,type,
    sK1776: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2354,type,
    sK1777: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2355,type,
    sK1778: vEBT_VEBT > $o > nat > list(vEBT_VEBT) ).

thf(func_def_2356,type,
    sK1779: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2357,type,
    sK1780: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2358,type,
    sK1781: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2359,type,
    sK1782: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2360,type,
    sK1783: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2361,type,
    sK1784: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2362,type,
    sK1785: $o > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2363,type,
    sK1786: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2364,type,
    sK1787: num > num > option(num) > num ).

thf(func_def_2365,type,
    sK1788: num > num > option(num) > num ).

thf(func_def_2366,type,
    sK1789: num > num > option(num) > num ).

thf(func_def_2367,type,
    sK1790: num > num > option(num) > num ).

thf(func_def_2368,type,
    sK1791: num > num > option(num) > num ).

thf(func_def_2369,type,
    sK1792: num > num > option(num) > num ).

thf(func_def_2370,type,
    sK1793: num > num > option(num) > num ).

thf(func_def_2371,type,
    sK1794: num > num > option(num) > num ).

thf(func_def_2372,type,
    sK1795: num > option(num) > num ).

thf(func_def_2373,type,
    sK1796: num > option(num) > num ).

thf(func_def_2374,type,
    sK1797: option(num) > num > num > num ).

thf(func_def_2375,type,
    sK1798: option(num) > num > num > num ).

thf(func_def_2376,type,
    sK1799: num > num > option(num) > num ).

thf(func_def_2377,type,
    sK1800: num > num > option(num) > num ).

thf(func_def_2378,type,
    sK1801: num > num ).

thf(func_def_2379,type,
    sK1802: num > num > option(num) > num ).

thf(func_def_2380,type,
    sK1803: num > num > option(num) > num ).

thf(func_def_2381,type,
    sK1804: num > num > option(num) > num ).

thf(func_def_2382,type,
    sK1805: num > num > option(num) > num ).

thf(func_def_2383,type,
    sK1806: num > num ).

thf(func_def_2384,type,
    sK1807: num > num ).

thf(func_def_2385,type,
    sK1808: num > num ).

thf(func_def_2386,type,
    sK1809: option(num) > num > num > num ).

thf(func_def_2387,type,
    sK1810: option(num) > num > num > num ).

thf(func_def_2388,type,
    sK1811: num > num > option(num) > num ).

thf(func_def_2389,type,
    sK1812: num > num > option(num) > num ).

thf(func_def_2390,type,
    sK1813: num > num > option(num) > num ).

thf(func_def_2391,type,
    sK1814: num > num > option(num) > num ).

thf(func_def_2392,type,
    sK1815: num > num > option(num) > num ).

thf(func_def_2393,type,
    sK1816: num > num > option(num) > num ).

thf(func_def_2394,type,
    sK1817: num > num > option(num) > num ).

thf(func_def_2395,type,
    sK1818: num > num > option(num) > num ).

thf(func_def_2396,type,
    sK1819: num > num ).

thf(func_def_2397,type,
    sK1820: num > num ).

thf(func_def_2398,type,
    sK1821: option(num) > num > num > num ).

thf(func_def_2399,type,
    sK1822: option(num) > num > num > num ).

thf(func_def_2400,type,
    sK1823: vEBT_VEBT > nat ).

thf(func_def_2401,type,
    sK1824: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2402,type,
    sK1825: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2403,type,
    sK1826: vEBT_VEBT > nat > option(nat) > nat ).

thf(func_def_2404,type,
    sK1827: vEBT_VEBT > nat > option(nat) > nat ).

thf(func_def_2405,type,
    sK1828: vEBT_VEBT > nat > option(nat) > nat ).

thf(func_def_2406,type,
    sK1829: vEBT_VEBT > nat > option(nat) > list(vEBT_VEBT) ).

thf(func_def_2407,type,
    sK1830: vEBT_VEBT > nat > option(nat) > vEBT_VEBT ).

thf(func_def_2408,type,
    sK1831: nat > nat ).

thf(func_def_2409,type,
    sK1832: vEBT_VEBT > $o ).

thf(func_def_2410,type,
    sK1833: vEBT_VEBT > $o ).

thf(func_def_2411,type,
    sK1834: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2412,type,
    sK1835: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2413,type,
    sK1836: vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_2414,type,
    sK1837: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2415,type,
    sK1838: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2416,type,
    sK1839: vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_2417,type,
    sK1840: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2418,type,
    sK1841: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2419,type,
    sK1842: vEBT_VEBT > option(nat) > nat > product_prod(nat,nat) ).

thf(func_def_2420,type,
    sK1843: vEBT_VEBT > option(nat) > nat > list(vEBT_VEBT) ).

thf(func_def_2421,type,
    sK1844: vEBT_VEBT > option(nat) > nat > vEBT_VEBT ).

thf(func_def_2422,type,
    sK1845: vEBT_VEBT > option(nat) > nat > nat ).

thf(func_def_2423,type,
    sK1846: vEBT_VEBT > option(nat) > nat > list(vEBT_VEBT) ).

thf(func_def_2424,type,
    sK1847: vEBT_VEBT > option(nat) > nat > vEBT_VEBT ).

thf(func_def_2425,type,
    sK1848: vEBT_VEBT > option(nat) > nat > nat ).

thf(func_def_2426,type,
    sK1849: vEBT_VEBT > option(nat) > nat > nat ).

thf(func_def_2427,type,
    sK1850: vEBT_VEBT > option(nat) > nat > nat ).

thf(func_def_2428,type,
    sK1851: vEBT_VEBT > option(nat) > nat > list(vEBT_VEBT) ).

thf(func_def_2429,type,
    sK1852: vEBT_VEBT > option(nat) > nat > vEBT_VEBT ).

thf(func_def_2430,type,
    sK1853: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2431,type,
    sK1854: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2432,type,
    sK1855: vEBT_VEBT > nat > option(nat) > nat ).

thf(func_def_2433,type,
    sK1856: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2434,type,
    sK1857: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2435,type,
    sK1858: option(nat) > nat > vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_2436,type,
    sK1859: option(nat) > nat > vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2437,type,
    sK1860: option(nat) > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2438,type,
    sK1861: vEBT_VEBT > nat ).

thf(func_def_2439,type,
    sK1862: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2440,type,
    sK1863: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2441,type,
    sK1864: vEBT_VEBT > nat > option(nat) > nat ).

thf(func_def_2442,type,
    sK1865: vEBT_VEBT > nat > option(nat) > nat ).

thf(func_def_2443,type,
    sK1866: vEBT_VEBT > nat > option(nat) > nat ).

thf(func_def_2444,type,
    sK1867: vEBT_VEBT > nat > option(nat) > list(vEBT_VEBT) ).

thf(func_def_2445,type,
    sK1868: vEBT_VEBT > nat > option(nat) > vEBT_VEBT ).

thf(func_def_2446,type,
    sK1869: vEBT_VEBT > $o ).

thf(func_def_2447,type,
    sK1870: vEBT_VEBT > $o ).

thf(func_def_2448,type,
    sK1871: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2449,type,
    sK1872: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2450,type,
    sK1873: nat > nat ).

thf(func_def_2451,type,
    sK1874: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2452,type,
    sK1875: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2453,type,
    sK1876: vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_2454,type,
    sK1877: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2455,type,
    sK1878: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2456,type,
    sK1879: vEBT_VEBT > product_prod(nat,nat) ).

thf(func_def_2457,type,
    sK1880: vEBT_VEBT > list(vEBT_VEBT) ).

thf(func_def_2458,type,
    sK1881: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2459,type,
    sK1882: vEBT_VEBT > option(nat) > nat > product_prod(nat,nat) ).

thf(func_def_2460,type,
    sK1883: vEBT_VEBT > option(nat) > nat > list(vEBT_VEBT) ).

thf(func_def_2461,type,
    sK1884: vEBT_VEBT > option(nat) > nat > vEBT_VEBT ).

thf(func_def_2462,type,
    sK1885: vEBT_VEBT > option(nat) > nat > product_prod(nat,nat) ).

thf(func_def_2463,type,
    sK1886: vEBT_VEBT > option(nat) > nat > list(vEBT_VEBT) ).

thf(func_def_2464,type,
    sK1887: vEBT_VEBT > option(nat) > nat > vEBT_VEBT ).

thf(func_def_2465,type,
    sK1888: vEBT_VEBT > option(nat) > nat > nat ).

thf(func_def_2466,type,
    sK1889: vEBT_VEBT > option(nat) > nat > list(vEBT_VEBT) ).

thf(func_def_2467,type,
    sK1890: vEBT_VEBT > option(nat) > nat > vEBT_VEBT ).

thf(func_def_2468,type,
    sK1891: vEBT_VEBT > option(nat) > nat > nat ).

thf(func_def_2469,type,
    sK1892: vEBT_VEBT > option(nat) > nat > nat ).

thf(func_def_2470,type,
    sK1893: vEBT_VEBT > option(nat) > nat > nat ).

thf(func_def_2471,type,
    sK1894: vEBT_VEBT > option(nat) > nat > list(vEBT_VEBT) ).

thf(func_def_2472,type,
    sK1895: vEBT_VEBT > option(nat) > nat > vEBT_VEBT ).

thf(func_def_2473,type,
    sK1896: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2474,type,
    sK1897: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2475,type,
    sK1898: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2476,type,
    sK1899: vEBT_VEBT > nat > option(nat) > $o ).

thf(func_def_2477,type,
    sK1900: nat > option(nat) > $o > $o > nat ).

thf(func_def_2478,type,
    sK1901: option(nat) > nat > vEBT_VEBT > $o ).

thf(func_def_2479,type,
    sK1902: option(nat) > nat > vEBT_VEBT > $o ).

thf(func_def_2480,type,
    sK1903: 
      !>[X0: $tType] : ( list(X0) > list(X0) > nat ) ).

thf(func_def_2481,type,
    sK1904: nat > nat > nat > nat ).

thf(func_def_2482,type,
    sK1905: nat > nat > nat > nat ).

thf(func_def_2483,type,
    sK1906: nat > nat > nat > nat ).

thf(func_def_2484,type,
    sK1907: 
      !>[X0: $tType] : ( list(X0) > list(X0) > nat ) ).

thf(func_def_2485,type,
    sK1908: 
      !>[X0: $tType] : ( list(X0) > list(X0) > nat ) ).

thf(func_def_2486,type,
    sK1909: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2487,type,
    sK1910: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( filter(X2) > ( X0 > X1 ) > ( X0 > X2 > X1 ) > set(X0) > X0 ) ).

thf(func_def_2488,type,
    sK1911: 
      !>[X0: $tType,X1: $tType] : ( real > ( X1 > X0 ) > X1 > X1 ) ).

thf(func_def_2489,type,
    sK1912: 
      !>[X0: $tType,X1: $tType] : ( real > X1 > X0 > ( X1 > X0 ) > X1 ) ).

thf(func_def_2490,type,
    sK1913: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 > X1 ) > filter(X2) > set(X0) > X0 ) ).

thf(func_def_2491,type,
    sK1914: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 > X1 ) > filter(X2) > set(X0) > X0 ) ).

thf(func_def_2492,type,
    sK1915: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 > X1 ) > X2 > set(X0) > X0 ) ).

thf(func_def_2493,type,
    sK1916: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 > X1 ) > filter(X2) > set(X0) > X0 ) ).

thf(func_def_2494,type,
    sK1917: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_2495,type,
    sK1918: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 ) ).

thf(func_def_2496,type,
    sK1919: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 > X1 ) > set(X2) > set(X0) > X0 ) ).

thf(func_def_2497,type,
    sK1920: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 > X1 ) > set(X2) > set(X0) > X0 ) ).

thf(func_def_2498,type,
    sK1921: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 > X1 ) > set(X2) > set(X0) > X0 ) ).

thf(func_def_2499,type,
    sK1922: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( X1 > ( X2 > X1 ) > X2 > X0 > ( X2 > X0 ) > X2 ) ).

thf(func_def_2500,type,
    sK1923: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 ) > ( X0 > set(X2) ) > set(X0) > X0 ) ).

thf(func_def_2501,type,
    sK1924: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > set(X1) ) > set(X0) > X0 ) ).

thf(func_def_2502,type,
    sK1925: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 ) > ( X0 > set(X2) ) > set(X0) > X0 ) ).

thf(func_def_2503,type,
    sK1926: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > set(X1) ) > set(X0) > X0 ) ).

thf(func_def_2504,type,
    sK1927: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( X1 > ( X2 > X1 ) > X2 > X0 > ( X2 > X0 ) > X2 ) ).

thf(func_def_2505,type,
    sK1928: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( set(X2) > X2 > ( X1 > X2 > X0 ) > ( X1 > X2 > X0 ) > set(X1) > X1 ) ).

thf(func_def_2506,type,
    sK1929: 
      !>[X0: $tType,X1: $tType] : ( real > ( X1 > X0 ) > X1 > X1 ) ).

thf(func_def_2507,type,
    sK1930: 
      !>[X0: $tType,X1: $tType] : ( real > X1 > X0 > ( X1 > X0 ) > X1 ) ).

thf(func_def_2508,type,
    sK1931: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X2 > X1 ) > set(X0) > X0 ) ).

thf(func_def_2509,type,
    sK1932: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( filter(X2) > ( X1 > X2 > X0 ) > set(X1) > X1 ) ).

thf(func_def_2510,type,
    sK1933: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( filter(X2) > ( X1 > X2 > X0 ) > ( X1 > X2 > X0 ) > set(X1) > X1 ) ).

thf(func_def_2511,type,
    sK1934: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X1 > X0 ) > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_2512,type,
    sK1935: 
      !>[X0: $tType] : ( nat > set(X0) > set(X0) ) ).

thf(func_def_2513,type,
    sK1936: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 > X0 ) ).

thf(func_def_2514,type,
    sK1937: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2515,type,
    sK1938: 
      !>[X0: $tType] : ( list(X0) > list(X0) > nat ) ).

thf(func_def_2516,type,
    sK1939: 
      !>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).

thf(func_def_2517,type,
    sK1940: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2518,type,
    sK1941: ( real > real ) > real > real ).

thf(func_def_2519,type,
    sK1942: ( real > real ) > real > real ).

thf(func_def_2520,type,
    sK1943: nat > ( nat > $o ) > nat ).

thf(func_def_2521,type,
    sK1944: ( nat > $o ) > nat > nat ).

thf(func_def_2522,type,
    sK1945: int > ( nat > int ) > nat > nat ).

thf(func_def_2523,type,
    sK1946: ( nat > int ) > nat > nat ).

thf(func_def_2524,type,
    sK1947: int > ( nat > int ) > nat > nat ).

thf(func_def_2525,type,
    sK1948: ( nat > int ) > nat > nat ).

thf(func_def_2526,type,
    sK1949: 
      !>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).

thf(func_def_2527,type,
    sK1950: 
      !>[X0: $tType] : ( ( X0 > complex ) > set(X0) > X0 ) ).

thf(func_def_2528,type,
    sK1951: 
      !>[X0: $tType] : ( set(X0) > nat > set(X0) ) ).

thf(func_def_2529,type,
    sK1952: 
      !>[X0: $tType] : ( set(set(X0)) > set(set(X0)) > set(X0) ) ).

thf(func_def_2530,type,
    sK1953: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) > set(X0) ) ).

thf(func_def_2531,type,
    sK1954: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) > set(X0) ) ).

thf(func_def_2532,type,
    sK1955: 
      !>[X0: $tType] : ( set(X0) > set(set(X0)) > set(X0) ) ).

thf(func_def_2533,type,
    sK1956: nat > list(vEBT_VEBT) > vEBT_VEBT ).

thf(func_def_2534,type,
    sK1957: 
      !>[X0: $tType] : ( X0 > list(X0) > X0 ) ).

thf(func_def_2535,type,
    sK1958: 
      !>[X0: $tType] : ( nat > list(list(X0)) > list(X0) ) ).

thf(func_def_2536,type,
    sK1959: ( nat > real ) > real > real ).

thf(func_def_2537,type,
    sK1960: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_2538,type,
    sK1961: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_2539,type,
    sK1962: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_2540,type,
    sK1963: ( nat > nat > $o ) > nat ).

thf(func_def_2541,type,
    sK1964: ( nat > nat > $o ) > nat ).

thf(func_def_2542,type,
    sK1965: ( nat > nat > $o ) > nat ).

thf(func_def_2543,type,
    sK1966: ( nat > nat > $o ) > nat ).

thf(func_def_2544,type,
    sK1967: ( nat > nat > $o ) > nat ).

thf(func_def_2545,type,
    sK1968: ( nat > nat > $o ) > nat ).

thf(func_def_2546,type,
    sK1969: ( nat > nat > $o ) > nat ).

thf(func_def_2547,type,
    sK1970: 
      !>[X0: $tType] : ( nat > ( nat > set(X0) ) > nat ) ).

thf(func_def_2548,type,
    sK1971: 
      !>[X0: $tType] : ( nat > ( nat > set(X0) ) > nat ) ).

thf(func_def_2549,type,
    sK1972: 
      !>[X0: $tType] : ( nat > ( nat > set(X0) ) > nat ) ).

thf(func_def_2550,type,
    sK1973: 
      !>[X0: $tType] : ( set(X0) > ( nat > set(X0) ) > nat ) ).

thf(func_def_2551,type,
    sK1974: 
      !>[X0: $tType] : ( set(X0) > ( nat > set(X0) ) > nat ) ).

thf(func_def_2552,type,
    sK1975: ( nat > nat > $o ) > nat ).

thf(func_def_2553,type,
    sK1976: ( nat > nat > $o ) > nat ).

thf(func_def_2554,type,
    sK1977: ( nat > nat > $o ) > nat ).

thf(func_def_2555,type,
    sK1978: ( nat > nat > $o ) > nat ).

thf(func_def_2556,type,
    sK1979: ( nat > nat > $o ) > nat ).

thf(func_def_2557,type,
    sK1980: 
      !>[X0: $tType,X1: $tType] : ( product_prod(sTfun(X0,X1),product_prod(list(X0),list(X1))) > X0 > X1 ) ).

thf(func_def_2558,type,
    sK1981: 
      !>[X0: $tType,X1: $tType] : ( product_prod(sTfun(X0,X1),product_prod(list(X0),list(X1))) > X0 ) ).

thf(func_def_2559,type,
    sK1982: 
      !>[X0: $tType,X1: $tType] : ( product_prod(sTfun(X0,X1),product_prod(list(X0),list(X1))) > list(X0) ) ).

thf(func_def_2560,type,
    sK1983: 
      !>[X0: $tType,X1: $tType] : ( product_prod(sTfun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

thf(func_def_2561,type,
    sK1984: 
      !>[X0: $tType,X1: $tType] : ( product_prod(sTfun(X0,X1),product_prod(list(X0),list(X1))) > X0 > X1 ) ).

thf(func_def_2562,type,
    sK1985: 
      !>[X0: $tType,X1: $tType] : ( product_prod(sTfun(X0,X1),product_prod(list(X0),list(X1))) > list(X1) ) ).

thf(func_def_2563,type,
    sK1986: ( nat > nat ) > nat ).

thf(func_def_2564,type,
    sK1987: ( nat > nat ) > nat ).

thf(func_def_2565,type,
    sK1988: ( nat > nat ) > nat ).

thf(func_def_2566,type,
    sK1989: ( nat > nat ) > nat ).

thf(func_def_2567,type,
    sK1990: nat > ( nat > nat ) > nat ).

thf(func_def_2568,type,
    sK1991: nat > ( nat > nat ) > nat ).

thf(func_def_2569,type,
    sK1992: ( nat > nat ) > nat > nat ).

thf(func_def_2570,type,
    sK1993: ( nat > nat ) > nat > nat ).

thf(func_def_2571,type,
    sK1994: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2572,type,
    sK1995: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_2573,type,
    sK1996: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_2574,type,
    sK1997: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_2575,type,
    sK1998: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).

thf(func_def_2576,type,
    sK1999: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).

thf(func_def_2577,type,
    sK2000: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).

thf(func_def_2578,type,
    sK2001: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).

thf(func_def_2579,type,
    sK2002: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).

thf(func_def_2580,type,
    sK2003: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).

thf(func_def_2581,type,
    sK2004: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).

thf(func_def_2582,type,
    sK2005: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).

thf(func_def_2583,type,
    sK2006: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).

thf(func_def_2584,type,
    sK2007: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).

thf(func_def_2585,type,
    sK2008: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).

thf(func_def_2586,type,
    sK2009: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).

thf(func_def_2587,type,
    sK2010: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).

thf(func_def_2588,type,
    sK2011: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).

thf(func_def_2589,type,
    sK2012: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).

thf(func_def_2590,type,
    sK2013: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).

thf(func_def_2591,type,
    sK2014: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).

thf(func_def_2592,type,
    sK2015: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > list(X0) ) ).

thf(func_def_2593,type,
    sK2016: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2594,type,
    sK2017: 
      !>[X0: $tType] : ( ( nat > X0 > X0 > $o ) > ( nat > X0 > $o ) > nat > X0 ) ).

thf(func_def_2595,type,
    sK2018: 
      !>[X0: $tType] : ( ( nat > X0 > X0 > $o ) > ( nat > X0 > $o ) > X0 ) ).

thf(func_def_2596,type,
    sK2019: 
      !>[X0: $tType] : ( ( nat > X0 > X0 > $o ) > ( nat > X0 > $o ) > nat ) ).

thf(func_def_2597,type,
    sK2020: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( filter(X2) > ( X2 > X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_2598,type,
    sK2021: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( filter(X2) > ( X0 > X1 ) > ( X0 > X2 > X1 ) > set(X0) > X0 ) ).

thf(func_def_2599,type,
    sK2022: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( filter(X2) > ( X2 > X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_2600,type,
    sK2023: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( filter(X2) > ( X0 > X1 ) > ( X0 > X2 > X1 ) > set(X0) > X0 ) ).

thf(func_def_2601,type,
    sK2024: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X0 ) > ( X0 > X1 ) > set(X2) > X2 ) ).

thf(func_def_2602,type,
    sK2025: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 ) > ( X2 > X0 ) > ( X2 > X1 ) > set(X2) > set(X0) > X0 ) ).

thf(func_def_2603,type,
    sK2026: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_2604,type,
    sK2027: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_2605,type,
    sK2028: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_2606,type,
    sK2029: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 ) > set(X2) > ( X2 > X1 ) > set(X0) > X0 ) ).

thf(func_def_2607,type,
    sK2030: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 ) > set(X0) > ( X0 > X1 ) > set(X2) > X2 ) ).

thf(func_def_2608,type,
    sK2031: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 ) > ( X2 > X1 ) > set(X2) > set(X0) > X2 ) ).

thf(func_def_2609,type,
    sK2032: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 ) > ( X2 > X1 ) > set(X2) > set(X0) > X0 ) ).

thf(func_def_2610,type,
    sK2033: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 ) > ( X0 > X1 ) > set(X2) > set(X0) > X2 ) ).

thf(func_def_2611,type,
    sK2034: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 ) > ( X0 > X1 ) > set(X2) > set(X0) > X0 ) ).

thf(func_def_2612,type,
    sK2035: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 ) > ( X0 > X1 ) > set(X0) > set(X2) > X2 ) ).

thf(func_def_2613,type,
    sK2036: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 ) > ( X0 > X1 ) > set(X2) > set(X0) > X0 ) ).

thf(func_def_2614,type,
    sK2037: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_2615,type,
    sK2038: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_2616,type,
    sK2039: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_2617,type,
    sK2040: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( set(X1) > ( X0 > X2 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_2618,type,
    sK2041: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( set(X1) > ( X0 > X2 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_2619,type,
    sK2042: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_2620,type,
    sK2043: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 ) > ( X0 > X2 ) > set(X0) > X0 ) ).

thf(func_def_2621,type,
    sK2044: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_2622,type,
    sK2045: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > set(X0) > set(X0) > X1 ) ).

thf(func_def_2623,type,
    sK2046: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X0 > X1 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_2624,type,
    sK2047: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > set(X0) > set(X0) > X1 ) ).

thf(func_def_2625,type,
    sK2048: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X0 > X1 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_2626,type,
    sK2049: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 ) > ( X0 > X1 ) > ( X0 > X2 ) > set(X0) > X0 ) ).

thf(func_def_2627,type,
    sK2050: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_2628,type,
    sK2051: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_2629,type,
    sK2052: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_2630,type,
    sK2053: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_2631,type,
    sK2054: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_2632,type,
    sK2055: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 ) > ( X0 > X2 ) > set(X0) > X0 ) ).

thf(func_def_2633,type,
    sK2056: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_2634,type,
    sK2057: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > set(X0) > set(X0) > X1 ) ).

thf(func_def_2635,type,
    sK2058: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X0 > X1 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_2636,type,
    sK2059: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X1 > X0 ) > set(X0) > set(X0) > X1 ) ).

thf(func_def_2637,type,
    sK2060: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X1) > ( X0 > X1 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_2638,type,
    sK2061: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 ) > ( X0 > X1 ) > ( X0 > X2 ) > set(X0) > X0 ) ).

thf(func_def_2639,type,
    sK2062: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_2640,type,
    sK2063: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( filter(X2) > X1 > ( X1 > X0 > X2 ) > ( X2 > X0 > X2 ) > set(X0) > X0 ) ).

thf(func_def_2641,type,
    sK2064: int > ( int > $o ) > int ).

thf(func_def_2642,type,
    sK2065: int > ( int > $o ) > int ).

thf(func_def_2643,type,
    sK2066: ( nat > $o ) > nat ).

thf(func_def_2644,type,
    sK2067: nat > ( nat > $o ) > nat ).

thf(func_def_2645,type,
    sK2068: ( nat > $o ) > nat ).

thf(func_def_2646,type,
    sK2069: nat > ( nat > $o ) > nat ).

thf(func_def_2647,type,
    sK2070: nat > ( nat > $o ) > nat ).

thf(func_def_2648,type,
    sK2071: nat > ( nat > $o ) > nat ).

thf(func_def_2649,type,
    sK2072: ( nat > $o ) > nat ).

thf(func_def_2650,type,
    sK2073: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_2651,type,
    sK2074: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_2652,type,
    sK2075: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_2653,type,
    sK2076: 
      !>[X0: $tType] : ( ( set(X0) > $o ) > set(X0) ) ).

thf(func_def_2654,type,
    sK2077: 
      !>[X0: $tType] : ( ( list(X0) > $o ) > X0 ) ).

thf(func_def_2655,type,
    sK2078: 
      !>[X0: $tType] : ( ( list(X0) > $o ) > list(X0) ) ).

thf(func_def_2656,type,
    sK2079: 
      !>[X0: $tType] : ( set(nat) > list(X0) > nat ) ).

thf(func_def_2657,type,
    sK2080: 
      !>[X0: $tType] : ( X0 > list(X0) > nat ) ).

thf(func_def_2658,type,
    sK2081: 
      !>[X0: $tType] : ( ( set(X0) > $o ) > set(X0) ) ).

thf(func_def_2659,type,
    sK2082: 
      !>[X0: $tType] : ( ( X0 > real ) > set(X0) > X0 ) ).

thf(func_def_2660,type,
    sK2083: 
      !>[X0: $tType] : ( ( set(X0) > $o ) > X0 ) ).

thf(func_def_2661,type,
    sK2084: 
      !>[X0: $tType] : ( ( set(X0) > $o ) > set(X0) ) ).

thf(func_def_2662,type,
    sK2085: 
      !>[X0: $tType] : ( set(X0) > ( set(X0) > $o ) > set(X0) ) ).

thf(func_def_2663,type,
    sK2086: 
      !>[X0: $tType] : ( ( set(X0) > $o ) > set(X0) > set(X0) ) ).

thf(func_def_2664,type,
    sK2087: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) > set(set(X0)) ) ).

thf(func_def_2665,type,
    sK2088: 
      !>[X0: $tType] : ( set(X0) > ( set(X0) > $o ) > set(X0) ) ).

thf(func_def_2666,type,
    sK2089: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

thf(func_def_2667,type,
    sK2090: 
      !>[X0: $tType] : ( set(set(X0)) > set(X0) ) ).

thf(func_def_2668,type,
    sK2091: 
      !>[X0: $tType] : ( nat > set(set(X0)) > set(X0) ) ).

thf(func_def_2669,type,
    sK2092: ( int > $o ) > int > int ).

thf(func_def_2670,type,
    sK2093: ( int > $o ) > int > int ).

thf(func_def_2671,type,
    sK2094: ( int > $o ) > int > int ).

thf(func_def_2672,type,
    sK2095: ( int > $o ) > int > int ).

thf(func_def_2673,type,
    sK2096: real > real > ( real > real ) > real ).

thf(func_def_2674,type,
    sK2097: ( real > real ) > real > real > real ).

thf(func_def_2675,type,
    sK2098: ( real > real ) > real > real > real ).

thf(func_def_2676,type,
    sK2099: ( real > real ) > real > real > real ).

thf(func_def_2677,type,
    sK2100: ( real > real ) > real > real > real ).

thf(func_def_2678,type,
    sK2101: ( real > real ) > real > real > real ).

thf(func_def_2679,type,
    sK2102: ( real > real ) > real > real > real ).

thf(func_def_2680,type,
    sK2103: real > real > real > real ).

thf(func_def_2681,type,
    sK2104: real > real > real > real ).

thf(func_def_2682,type,
    sK2105: ( real > real ) > real > real > real ).

thf(func_def_2683,type,
    sK2106: ( real > real ) > real > real > real ).

thf(func_def_2684,type,
    sK2107: ( real > real ) > real > real > real ).

thf(func_def_2685,type,
    sK2108: ( real > real ) > real > real > real ).

thf(func_def_2686,type,
    sK2109: real > real > ( real > real ) > real ).

thf(func_def_2687,type,
    sK2110: real > real > real > ( real > real ) > real ).

thf(func_def_2688,type,
    sK2111: ( real > real ) > real > real > real ).

thf(func_def_2689,type,
    sK2112: ( real > real ) > real > real > real ).

thf(func_def_2690,type,
    sK2113: ( real > real ) > real > real > real ).

thf(func_def_2691,type,
    sK2114: ( real > real ) > real > real > real ).

thf(func_def_2692,type,
    sK2115: ( real > real > $o ) > real ).

thf(func_def_2693,type,
    sK2116: ( real > real > $o ) > real ).

thf(func_def_2694,type,
    sK2117: ( real > real > $o ) > real ).

thf(func_def_2695,type,
    sK2118: real > real > ( real > real > $o ) > real ).

thf(func_def_2696,type,
    sK2119: real > real > ( real > real > $o ) > real ).

thf(func_def_2697,type,
    sK2120: ( real > real > $o ) > real > real > real ).

thf(func_def_2698,type,
    sK2121: ( real > real ) > real > real > real ).

thf(func_def_2699,type,
    sK2122: ( real > real ) > real > real > real ).

thf(func_def_2700,type,
    sK2123: nat > ( nat > $o ) > nat ).

thf(func_def_2701,type,
    sK2124: ( nat > $o ) > nat > nat ).

thf(func_def_2702,type,
    sK2125: ( nat > nat > $o ) > nat ).

thf(func_def_2703,type,
    sK2126: ( nat > nat > $o ) > nat ).

thf(func_def_2704,type,
    sK2127: ( nat > nat > $o ) > nat ).

thf(func_def_2705,type,
    sK2128: ( nat > nat > $o ) > nat ).

thf(func_def_2706,type,
    sK2129: set(nat) > nat > nat ).

thf(func_def_2707,type,
    sK2130: ( nat > nat > $o ) > nat ).

thf(func_def_2708,type,
    sK2131: ( nat > nat > $o ) > nat ).

thf(func_def_2709,type,
    sK2132: ( nat > nat > $o ) > nat ).

thf(func_def_2710,type,
    sK2133: ( nat > nat > $o ) > nat ).

thf(func_def_2711,type,
    sK2134: ( nat > nat > $o ) > nat ).

thf(func_def_2712,type,
    sK2135: ( nat > $o ) > nat > nat ).

thf(func_def_2713,type,
    sK2136: ( nat > $o ) > nat > nat > nat ).

thf(func_def_2714,type,
    sK2137: ( nat > $o ) > nat > nat > nat ).

thf(func_def_2715,type,
    sK2138: ( int > $o ) > int > int ).

thf(func_def_2716,type,
    sK2139: ( int > $o ) > int > int ).

thf(func_def_2717,type,
    sK2140: ( int > $o ) > int ).

thf(func_def_2718,type,
    sK2141: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2719,type,
    sK2142: ( int > $o ) > int > int ).

thf(func_def_2720,type,
    sK2143: ( int > $o ) > int > int ).

thf(func_def_2721,type,
    sK2144: ( int > $o ) > int ).

thf(func_def_2722,type,
    sK2145: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2723,type,
    sK2146: ( int > $o ) > int > int ).

thf(func_def_2724,type,
    sK2147: ( int > $o ) > int > int ).

thf(func_def_2725,type,
    sK2148: int > set(int) > int > int ).

thf(func_def_2726,type,
    sK2149: int > set(int) > int > int ).

thf(func_def_2727,type,
    sK2150: int > set(int) > int > int ).

thf(func_def_2728,type,
    sK2151: int > set(int) > int > int ).

thf(func_def_2729,type,
    sK2152: int > set(int) > int > int ).

thf(func_def_2730,type,
    sK2153: int > set(int) > int > int ).

thf(func_def_2731,type,
    sK2154: int > set(int) > int > int ).

thf(func_def_2732,type,
    sK2155: int > set(int) > int > int ).

thf(func_def_2733,type,
    sK2156: int > set(int) > int > int ).

thf(func_def_2734,type,
    sK2157: int > set(int) > int > int ).

thf(func_def_2735,type,
    sK2158: int > set(int) > int > int ).

thf(func_def_2736,type,
    sK2159: int > set(int) > int > int ).

thf(func_def_2737,type,
    sK2160: int > set(int) > int > int ).

thf(func_def_2738,type,
    sK2161: int > set(int) > int > int ).

thf(func_def_2739,type,
    sK2162: int > set(int) > int > int ).

thf(func_def_2740,type,
    sK2163: int > set(int) > int > int ).

thf(func_def_2741,type,
    sK2164: int > set(int) > int > int ).

thf(func_def_2742,type,
    sK2165: int > set(int) > int > int ).

thf(func_def_2743,type,
    sK2166: int > set(int) > int > int ).

thf(func_def_2744,type,
    sK2167: int > set(int) > int > int ).

thf(func_def_2745,type,
    sK2168: int > set(int) > int > int ).

thf(func_def_2746,type,
    sK2169: int > set(int) > int > int ).

thf(func_def_2747,type,
    sK2170: int > set(int) > int > int ).

thf(func_def_2748,type,
    sK2171: int > set(int) > int > int ).

thf(func_def_2749,type,
    sK2172: 
      !>[X0: $tType] : ( set(X0) > set(X0) > X0 ) ).

thf(func_def_2750,type,
    sK2173: 
      !>[X0: $tType] : ( set(X0) > nat > set(X0) ) ).

thf(func_def_2751,type,
    sK2174: 
      !>[X0: $tType] : ( X0 > ( X0 > X0 ) > nat ) ).

thf(func_def_2752,type,
    sK2175: 
      !>[X0: $tType] : ( list(X0) > X0 > X0 ) ).

thf(func_def_2753,type,
    sK2176: 
      !>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).

thf(func_def_2754,type,
    sK2177: 
      !>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).

thf(func_def_2755,type,
    sK2178: 
      !>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).

thf(func_def_2756,type,
    sK2179: 
      !>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).

thf(func_def_2757,type,
    sK2180: 
      !>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).

thf(func_def_2758,type,
    sK2181: 
      !>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).

thf(func_def_2759,type,
    sK2182: 
      !>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).

thf(func_def_2760,type,
    sK2183: 
      !>[X0: $tType] : ( list(X0) > X0 > list(X0) ) ).

thf(func_def_2761,type,
    sK2184: product_prod(int,int) > int > int > int ).

thf(func_def_2762,type,
    sK2185: product_prod(int,int) > int > int > int ).

thf(func_def_2763,type,
    sK2186: product_prod(int,int) > int > int > int ).

thf(func_def_2764,type,
    sK2187: ( int > int > $o ) > int ).

thf(func_def_2765,type,
    sK2188: ( int > int > $o ) > int ).

thf(func_def_2766,type,
    sK2189: ( int > int > $o ) > int ).

thf(func_def_2767,type,
    sK2190: ( int > int > $o ) > int ).

thf(func_def_2768,type,
    sK2191: real > ( real > real ) > real ).

thf(func_def_2769,type,
    sK2192: real > ( real > real ) > real ).

thf(func_def_2770,type,
    sK2193: real > ( real > real ) > real ).

thf(func_def_2771,type,
    sK2194: real > ( real > real ) > real ).

thf(func_def_2772,type,
    sK2195: real > ( real > real ) > real ).

thf(func_def_2773,type,
    sK2196: real > ( real > real ) > real ).

thf(func_def_2774,type,
    sK2197: real > ( real > real ) > real ).

thf(func_def_2775,type,
    sK2198: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

thf(func_def_2776,type,
    sK2199: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

thf(func_def_2777,type,
    sK2200: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 ) ).

thf(func_def_2778,type,
    sK2201: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X1 ) ).

thf(func_def_2779,type,
    sK2202: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2780,type,
    sK2203: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2781,type,
    sK2204: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2782,type,
    sK2205: real > ( real > real ) > real ).

thf(func_def_2783,type,
    sK2206: real > ( real > real ) > real ).

thf(func_def_2784,type,
    sK2207: real > ( real > real ) > real ).

thf(func_def_2785,type,
    sK2208: 
      !>[X0: $tType] : ( X0 > list(X0) > X0 ) ).

thf(func_def_2786,type,
    sK2209: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2787,type,
    sK2210: nat > real > ( nat > real > real ) > nat ).

thf(func_def_2788,type,
    sK2211: nat > real > ( nat > real > real ) > real ).

thf(func_def_2789,type,
    sK2212: real > nat > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_2790,type,
    sK2213: nat > real > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_2791,type,
    sK2214: ( nat > real > real ) > nat ).

thf(func_def_2792,type,
    sK2215: ( nat > real > real ) > real ).

thf(func_def_2793,type,
    sK2216: real > nat > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_2794,type,
    sK2217: ( nat > real > real ) > nat ).

thf(func_def_2795,type,
    sK2218: ( nat > real > real ) > real ).

thf(func_def_2796,type,
    sK2219: 
      !>[X0: $tType] : ( set(X0) > ( X0 > nat ) > X0 ) ).

thf(func_def_2797,type,
    sK2220: 
      !>[X0: $tType] : ( list(X0) > list(X0) > set(list(X0)) > X0 ) ).

thf(func_def_2798,type,
    sK2221: 
      !>[X0: $tType] : ( list(X0) > list(X0) > set(list(X0)) > list(X0) ) ).

thf(func_def_2799,type,
    sK2222: 
      !>[X0: $tType] : ( list(X0) > list(X0) > set(list(X0)) > X0 ) ).

thf(func_def_2800,type,
    sK2223: 
      !>[X0: $tType] : ( list(X0) > list(X0) > set(list(X0)) > list(X0) ) ).

thf(func_def_2801,type,
    sK2224: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(list(X0)) > list(list(X0)) ) ).

thf(func_def_2802,type,
    sK2225: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(list(X0)) > list(X0) ) ).

thf(func_def_2803,type,
    sK2226: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(list(X0)) > list(X0) ) ).

thf(func_def_2804,type,
    sK2227: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(list(X0)) > list(list(X0)) ) ).

thf(func_def_2805,type,
    sK2228: 
      !>[X0: $tType] : ( X0 > ( X0 > X0 ) > nat > nat ) ).

thf(func_def_2806,type,
    sK2229: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2807,type,
    sK2230: nat > real > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_2808,type,
    sK2231: ( nat > real > real ) > nat ).

thf(func_def_2809,type,
    sK2232: ( nat > real > real ) > real ).

thf(func_def_2810,type,
    sK2233: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_2811,type,
    sK2234: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_2812,type,
    sK2235: 
      !>[X0: $tType] : ( nat > ( nat > set(X0) ) > ( nat > set(X0) ) > nat ) ).

thf(func_def_2813,type,
    sK2236: 
      !>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2814,type,
    sK2237: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > nat ) > X0 ) ).

thf(func_def_2815,type,
    sK2238: nat > nat > ( nat > int ) > nat ).

thf(func_def_2816,type,
    sK2239: int > ( nat > int ) > nat > nat > nat ).

thf(func_def_2817,type,
    sK2240: 
      !>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2818,type,
    sK2241: set(int) > ( int > $o ) > int > int ).

thf(func_def_2819,type,
    sK2242: set(int) > ( int > $o ) > int > int ).

thf(func_def_2820,type,
    sK2243: int > set(int) > int > int ).

thf(func_def_2821,type,
    sK2244: int > set(int) > int > int ).

thf(func_def_2822,type,
    sK2245: set(int) > ( int > $o ) > int > int ).

thf(func_def_2823,type,
    sK2246: set(int) > ( int > $o ) > int > int ).

thf(func_def_2824,type,
    sK2247: int > set(int) > int > int ).

thf(func_def_2825,type,
    sK2248: int > set(int) > int > int ).

thf(func_def_2826,type,
    sK2249: set(int) > ( int > $o ) > int > int ).

thf(func_def_2827,type,
    sK2250: set(int) > ( int > $o ) > int > int ).

thf(func_def_2828,type,
    sK2251: int > set(int) > int > int ).

thf(func_def_2829,type,
    sK2252: int > set(int) > int > int ).

thf(func_def_2830,type,
    sK2253: set(int) > ( int > $o ) > int > int ).

thf(func_def_2831,type,
    sK2254: set(int) > ( int > $o ) > int > int ).

thf(func_def_2832,type,
    sK2255: int > set(int) > int > int ).

thf(func_def_2833,type,
    sK2256: int > set(int) > int > int ).

thf(func_def_2834,type,
    sK2257: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > filter(X0) ) > set(X1) > X1 ) ).

thf(func_def_2835,type,
    sK2258: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > filter(X0) ) > set(X1) > X1 ) ).

thf(func_def_2836,type,
    sK2259: 
      !>[X0: $tType] : ( ( X0 > nat ) > ( X0 > nat ) > set(X0) > X0 ) ).

thf(func_def_2837,type,
    sK2260: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > filter(X1) ) > set(X0) > set(X0) ) ).

thf(func_def_2838,type,
    sK2261: 
      !>[X0: $tType] : ( X0 > set(set(X0)) > set(X0) ) ).

thf(func_def_2839,type,
    sK2262: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > nat ) ).

thf(func_def_2840,type,
    sK2263: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).

thf(func_def_2841,type,
    sK2264: 
      !>[X0: $tType] : ( ( X0 > nat ) > ( X0 > nat ) > list(X0) > X0 ) ).

thf(func_def_2842,type,
    sK2265: ( real > real ) > real > real > real ).

thf(func_def_2843,type,
    sK2266: ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_2844,type,
    sK2267: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_2845,type,
    sK2268: 
      !>[X0: $tType] : ( nat > ( nat > set(X0) ) > ( nat > set(X0) ) > nat ) ).

thf(func_def_2846,type,
    sK2269: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_2847,type,
    sK2270: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_2848,type,
    sK2271: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 > $o ) > product_prod(X1,X0) > X1 ) ).

thf(func_def_2849,type,
    sK2272: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 > $o ) > product_prod(X1,X0) > X0 ) ).

thf(func_def_2850,type,
    sK2273: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > set(product_prod(X1,X0)) > X1 ) ).

thf(func_def_2851,type,
    sK2274: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(X1,X0)) > set(product_prod(X1,X0)) > X0 ) ).

thf(func_def_2852,type,
    sK2275: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X1 ) ).

thf(func_def_2853,type,
    sK2276: 
      !>[X0: $tType,X1: $tType] : ( ( product_prod(X1,X0) > $o ) > X0 ) ).

thf(func_def_2854,type,
    sK2277: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > set(X0) > X0 ) ).

thf(func_def_2855,type,
    sK2278: nat > ( nat > $o ) > nat ).

thf(func_def_2856,type,
    sK2279: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2857,type,
    sK2280: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_2858,type,
    sK2281: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2859,type,
    sK2282: 
      !>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2860,type,
    sK2283: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_2861,type,
    sK2284: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_2862,type,
    sK2285: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_2863,type,
    sK2286: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_2864,type,
    sK2287: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > set(X1) > X1 > X0 ) ).

thf(func_def_2865,type,
    sK2288: 
      !>[X0: $tType] : ( set(X0) > ( set(X0) > $o ) > X0 ) ).

thf(func_def_2866,type,
    sK2289: 
      !>[X0: $tType] : ( set(X0) > ( set(X0) > $o ) > set(X0) ) ).

thf(func_def_2867,type,
    sK2290: 
      !>[X0: $tType] : ( set(X0) > ( set(X0) > $o ) > X0 ) ).

thf(func_def_2868,type,
    sK2291: 
      !>[X0: $tType] : ( set(X0) > ( set(X0) > $o ) > set(X0) ) ).

thf(func_def_2869,type,
    sK2292: int > set(int) > int > int ).

thf(func_def_2870,type,
    sK2293: int > set(int) > int > int ).

thf(func_def_2871,type,
    sK2294: int > set(int) > int > int ).

thf(func_def_2872,type,
    sK2295: int > set(int) > int > int ).

thf(func_def_2873,type,
    sK2296: int > set(int) > int > int ).

thf(func_def_2874,type,
    sK2297: int > set(int) > int > int ).

thf(func_def_2875,type,
    sK2298: int > set(int) > int > int ).

thf(func_def_2876,type,
    sK2299: int > set(int) > int > int ).

thf(func_def_2877,type,
    sK2300: real > real > ( real > real ) > ( real > real > real ) > real ).

thf(func_def_2878,type,
    sK2301: ( real > real > real ) > real > real > real ).

thf(func_def_2879,type,
    sK2302: real > real > ( real > real ) > real ).

thf(func_def_2880,type,
    sK2303: real > real > ( real > real ) > real ).

thf(func_def_2881,type,
    sK2304: real > real > ( real > real ) > real ).

thf(func_def_2882,type,
    sK2305: ( real > real ) > real > ( real > real ) > real > real ).

thf(func_def_2883,type,
    sK2306: ( real > real ) > real > ( real > real ) > real > real ).

thf(func_def_2884,type,
    sK2307: ( real > real ) > real > ( real > real ) > real > real ).

thf(func_def_2885,type,
    sK2308: ( real > real ) > real > real > real ).

thf(func_def_2886,type,
    sK2309: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_2887,type,
    sK2310: ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_2888,type,
    sK2311: ( real > real ) > real > real > real ).

thf(func_def_2889,type,
    sK2312: real > real > ( real > real ) > ( real > real > real ) > real ).

thf(func_def_2890,type,
    sK2313: ( real > real > real ) > ( real > real ) > real > real > real ).

thf(func_def_2891,type,
    sK2314: set(nat) > nat > nat ).

thf(func_def_2892,type,
    sK2315: set(int) > ( int > $o ) > int > int ).

thf(func_def_2893,type,
    sK2316: ( int > $o ) > int > int ).

thf(func_def_2894,type,
    sK2317: ( int > $o ) > int > int ).

thf(func_def_2895,type,
    sK2318: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2896,type,
    sK2319: set(int) > ( int > $o ) > int > int ).

thf(func_def_2897,type,
    sK2320: ( int > $o ) > int > int ).

thf(func_def_2898,type,
    sK2321: ( int > $o ) > int > int ).

thf(func_def_2899,type,
    sK2322: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2900,type,
    sK2323: nat > real > ( nat > real > real ) > nat ).

thf(func_def_2901,type,
    sK2324: nat > real > ( nat > real > real ) > real ).

thf(func_def_2902,type,
    sK2325: ( real > real ) > ( nat > real > real ) > nat > real > real ).

thf(func_def_2903,type,
    sK2326: nat > real > ( nat > real > real ) > nat ).

thf(func_def_2904,type,
    sK2327: nat > real > ( nat > real > real ) > real ).

thf(func_def_2905,type,
    sK2328: nat > ( real > real ) > ( nat > real > real ) > real > real ).

thf(func_def_2906,type,
    sK2329: ( real > real ) > real > real > real ).

thf(func_def_2907,type,
    sK2330: ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_2908,type,
    sK2331: nat > real > ( nat > real > real ) > nat ).

thf(func_def_2909,type,
    sK2332: nat > real > ( nat > real > real ) > real ).

thf(func_def_2910,type,
    sK2333: ( real > real ) > ( nat > real > real ) > nat > real > real ).

thf(func_def_2911,type,
    sK2334: nat > ( nat > real ) > ( real > real ) > real > real ).

thf(func_def_2912,type,
    sK2335: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).

thf(func_def_2913,type,
    sK2336: 
      !>[X0: $tType] : ( list(X0) > list(X0) > nat > nat ) ).

thf(func_def_2914,type,
    sK2337: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > ( X0 > X1 > $o ) > X0 ) ).

thf(func_def_2915,type,
    sK2338: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > ( X0 > X1 > $o ) > X1 ) ).

thf(func_def_2916,type,
    sK2339: 
      !>[X0: $tType] : ( option(X0) > ( X0 > $o ) > X0 ) ).

thf(func_def_2917,type,
    sK2340: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > X1 ) ).

thf(func_def_2918,type,
    sK2341: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) > X0 ) ).

thf(func_def_2919,type,
    sK2342: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2920,type,
    sK2343: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) > X0 ) ).

thf(func_def_2921,type,
    sK2344: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2922,type,
    sK2345: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) > X0 ) ).

thf(func_def_2923,type,
    sK2346: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2924,type,
    sK2347: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) > X0 ) ).

thf(func_def_2925,type,
    sK2348: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2926,type,
    sK2349: set(real) > real > ( real > real ) > real ).

thf(func_def_2927,type,
    sK2350: set(real) > real > ( real > real ) > real ).

thf(func_def_2928,type,
    sK2351: set(real) > real > ( real > real ) > real ).

thf(func_def_2929,type,
    sK2352: set(real) > real > ( real > real ) > real ).

thf(func_def_2930,type,
    sK2353: real > real > ( real > real ) > real ).

thf(func_def_2931,type,
    sK2354: real > real > ( real > real ) > real ).

thf(func_def_2932,type,
    sK2355: real > real > ( real > real ) > real ).

thf(func_def_2933,type,
    sK2356: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 > X0 > X0 ) ).

thf(func_def_2934,type,
    sK2357: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 > X0 > X0 ) ).

thf(func_def_2935,type,
    sK2358: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 > X0 > X0 ) ).

thf(func_def_2936,type,
    sK2359: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 > X0 > X0 ) ).

thf(func_def_2937,type,
    sK2360: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 > X0 > X0 ) ).

thf(func_def_2938,type,
    sK2361: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 > X0 > X0 ) ).

thf(func_def_2939,type,
    sK2362: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 > X0 > X0 ) ).

thf(func_def_2940,type,
    sK2363: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 > X0 > X0 ) ).

thf(func_def_2941,type,
    sK2364: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > list(X0) > list(X0) > nat ) ).

thf(func_def_2942,type,
    sK2365: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > list(X0) > list(X0) > X0 ) ).

thf(func_def_2943,type,
    sK2366: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > list(X0) > list(X0) > X0 ) ).

thf(func_def_2944,type,
    sK2367: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2945,type,
    sK2368: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > list(X0) > list(X0) > list(X0) ) ).

thf(func_def_2946,type,
    sK2369: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X0 ) ).

thf(func_def_2947,type,
    sK2370: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X1 ) ).

thf(func_def_2948,type,
    sK2371: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,product_prod(X1,X2)) > X2 ) ).

thf(func_def_2949,type,
    sK2372: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > filter(X0) ) > set(X1) > X1 ) ).

thf(func_def_2950,type,
    sK2373: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > filter(X0) ) > set(X1) > X1 ) ).

thf(func_def_2951,type,
    sK2374: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > X0 ) ).

thf(func_def_2952,type,
    sK2375: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > list(X0) ) ).

thf(func_def_2953,type,
    sK2376: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > X1 ) ).

thf(func_def_2954,type,
    sK2377: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > list(X1) ) ).

thf(func_def_2955,type,
    sK2378: 
      !>[X0: $tType] : ( option(X0) > option(X0) > ( X0 > X0 > X0 ) > option(X0) > X0 ) ).

thf(func_def_2956,type,
    sK2379: 
      !>[X0: $tType] : ( option(X0) > option(X0) > ( X0 > X0 > X0 ) > option(X0) > X0 ) ).

thf(func_def_2957,type,
    sK2380: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

thf(func_def_2958,type,
    sK2381: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) > option(X0) > $o ) > option(X1) > option(X0) > X1 ) ).

thf(func_def_2959,type,
    sK2382: 
      !>[X0: $tType,X1: $tType] : ( ( option(X1) > option(X0) > $o ) > option(X1) > option(X0) > X0 ) ).

thf(func_def_2960,type,
    sK2383: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 > $o ) > set(X0) > set(X1) > X0 ) ).

thf(func_def_2961,type,
    sK2384: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 > $o ) > set(X0) > set(X1) > X1 ) ).

thf(func_def_2962,type,
    sK2385: 
      !>[X0: $tType] : ( ( nat > X0 ) > ( nat > X0 ) > nat ) ).

thf(func_def_2963,type,
    sK2386: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X0 > X1 ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2964,type,
    sK2387: ( nat > nat ) > nat > nat ).

thf(func_def_2965,type,
    sK2388: ( nat > nat ) > nat > nat ).

thf(func_def_2966,type,
    sK2389: 
      !>[X0: $tType,X1: $tType] : ( X1 > ( X0 > X1 > $o ) > set(X0) > X0 ) ).

thf(func_def_2967,type,
    sK2390: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_2968,type,
    sK2391: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > X0 > set(X1) > X1 ) ).

thf(func_def_2969,type,
    sK2392: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X0) > set(X1) > X1 ) ).

thf(func_def_2970,type,
    sK2393: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(set(X0)) > set(X1) > X1 ) ).

thf(func_def_2971,type,
    sK2394: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X0 > set(X1) ) > set(X0) > X0 ) ).

thf(func_def_2972,type,
    sK2395: list(vEBT_VEBT) > vEBT_VEBT ).

thf(func_def_2973,type,
    sK2396: list(vEBT_VEBT) > nat ).

thf(func_def_2974,type,
    sK2397: vEBT_VEBT > nat ).

thf(func_def_2975,type,
    sK2398: nat > list(vEBT_VEBT) > vEBT_VEBT ).

thf(func_def_2976,type,
    sK2399: list(vEBT_VEBT) > vEBT_VEBT ).

thf(func_def_2977,type,
    sK2400: list(vEBT_VEBT) > nat ).

thf(func_def_2978,type,
    sK2401: vEBT_VEBT > nat ).

thf(func_def_2979,type,
    sK2402: nat > list(vEBT_VEBT) > vEBT_VEBT ).

thf(func_def_2980,type,
    sK2403: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_2981,type,
    sK2404: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_2982,type,
    sK2405: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) > X0 ) > ( X2 > X1 > X0 ) > X2 ) ).

thf(func_def_2983,type,
    sK2406: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,X1) > X0 ) > ( X2 > X1 > X0 ) > X1 ) ).

thf(func_def_2984,type,
    sK2407: ( nat > real > real ) > real > nat > nat ).

thf(func_def_2985,type,
    sK2408: ( nat > real > real ) > real > nat > real ).

thf(func_def_2986,type,
    sK2409: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > list(X0) > X0 ) ).

thf(func_def_2987,type,
    sK2410: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > list(X0) > X0 ) ).

thf(func_def_2988,type,
    sK2411: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > list(X0) > X0 ) ).

thf(func_def_2989,type,
    sK2412: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,product_prod(X1,X0)) > $o ) > X2 ) ).

thf(func_def_2990,type,
    sK2413: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,product_prod(X1,X0)) > $o ) > X1 ) ).

thf(func_def_2991,type,
    sK2414: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( product_prod(X2,product_prod(X1,X0)) > $o ) > X0 ) ).

thf(func_def_2992,type,
    sK2415: 
      !>[X0: $tType] : ( nat > ( X0 > nat ) > X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_2993,type,
    sK2416: 
      !>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2994,type,
    sK2417: 
      !>[X0: $tType] : ( ( X0 > nat ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2995,type,
    sK2418: 
      !>[X0: $tType] : ( nat > ( X0 > nat ) > ( X0 > $o ) > X0 ) ).

thf(func_def_2996,type,
    sK2419: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > set(X1) > ( X0 > X1 > $o ) > X0 ) ).

thf(func_def_2997,type,
    sK2420: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > set(X1) > ( X0 > X1 > $o ) > X0 ) ).

thf(func_def_2998,type,
    sK2421: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > set(X1) > ( X0 > X1 > $o ) > X1 ) ).

thf(func_def_2999,type,
    sK2422: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > set(X0) > set(X1) > X0 ) ).

thf(func_def_3000,type,
    sK2423: 
      !>[X0: $tType,X1: $tType] : ( filter(X1) > ( X1 > X0 > $o ) > set(X0) > X0 ) ).

thf(func_def_3001,type,
    sK2424: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > set(X0) > set(X1) ) ).

thf(func_def_3002,type,
    sK2425: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3003,type,
    sK2426: ( real > real ) > real > real > real ).

thf(func_def_3004,type,
    sK2427: ( real > real ) > real > real > real ).

thf(func_def_3005,type,
    sK2428: nat > nat > nat > nat ).

thf(func_def_3006,type,
    sK2429: nat > nat > nat > nat ).

thf(func_def_3007,type,
    sK2430: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_3008,type,
    sK2431: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > X0 ) ).

thf(func_def_3009,type,
    sK2432: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > list(X0) ) ).

thf(func_def_3010,type,
    sK2433: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > X1 ) ).

thf(func_def_3011,type,
    sK2434: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > list(X1) ) ).

thf(func_def_3012,type,
    sK2435: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > X1 ) ).

thf(func_def_3013,type,
    sK2436: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > list(X1) ) ).

thf(func_def_3014,type,
    sK2437: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > X0 ) ).

thf(func_def_3015,type,
    sK2438: 
      !>[X0: $tType,X1: $tType] : ( ( list(X0) > list(X1) > $o ) > list(X0) ) ).

thf(func_def_3016,type,
    sK2439: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > set(X0) > X0 ) ).

thf(func_def_3017,type,
    sK2440: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > set(X0) > X0 ) ).

thf(func_def_3018,type,
    sK2441: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > X0 > X1 ) ).

thf(func_def_3019,type,
    sK2442: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > set(X0) > set(X1) ) ).

thf(func_def_3020,type,
    sK2443: 
      !>[X0: $tType] : ( nat > X0 > ( X0 > X0 > $o ) > X0 > X0 ) ).

thf(func_def_3021,type,
    sK2444: 
      !>[X0: $tType] : ( nat > X0 > ( X0 > X0 > $o ) > X0 > nat ) ).

thf(func_def_3022,type,
    sK2445: 
      !>[X0: $tType] : ( nat > X0 > ( X0 > X0 > $o ) > X0 > X0 ) ).

thf(func_def_3023,type,
    sK2446: 
      !>[X0: $tType] : ( nat > X0 > ( X0 > X0 > $o ) > X0 > nat ) ).

thf(func_def_3024,type,
    sK2447: 
      !>[X0: $tType,X1: $tType] : ( X1 > set(X0) > ( X0 > X1 > $o ) > X0 ) ).

thf(func_def_3025,type,
    sK2448: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X0 > X1 ) ).

thf(func_def_3026,type,
    sK2449: 
      !>[X0: $tType] : ( X0 > X0 > ( X0 > X0 > $o ) > nat > X0 ) ).

thf(func_def_3027,type,
    sK2450: 
      !>[X0: $tType] : ( X0 > X0 > ( X0 > X0 > $o ) > nat > X0 ) ).

thf(func_def_3028,type,
    sK2451: 
      !>[X0: $tType] : ( X0 > X0 > ( X0 > X0 > $o ) > nat > X0 ) ).

thf(func_def_3029,type,
    sK2452: 
      !>[X0: $tType] : ( X0 > set(product_prod(X0,X0)) > ( X0 > $o ) > X0 ) ).

thf(func_def_3030,type,
    sK2453: 
      !>[X0: $tType] : ( X0 > set(product_prod(X0,X0)) > ( X0 > $o ) > X0 ) ).

thf(func_def_3031,type,
    sK2454: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(product_prod(X0,X0)) > X0 > X0 ) ).

thf(func_def_3032,type,
    sK2455: 
      !>[X0: $tType] : ( X0 > set(product_prod(X0,X0)) > ( X0 > $o ) > X0 ) ).

thf(func_def_3033,type,
    sK2456: 
      !>[X0: $tType] : ( X0 > set(product_prod(X0,X0)) > ( X0 > $o ) > X0 ) ).

thf(func_def_3034,type,
    sK2457: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(product_prod(X0,X0)) > X0 > X0 ) ).

thf(func_def_3035,type,
    sK2458: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_3036,type,
    sK2459: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_3037,type,
    sK2460: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > ( X0 > X0 > $o ) > X0 ) ).

thf(func_def_3038,type,
    sK2461: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_3039,type,
    sK2462: 
      !>[X0: $tType] : ( ( X0 > X0 > $o ) > set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_3040,type,
    sK2463: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(product_prod(X0,X0)) > X0 > X0 ) ).

thf(func_def_3041,type,
    sK2464: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(product_prod(X0,X0)) > X0 > X0 ) ).

thf(func_def_3042,type,
    sK2465: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(product_prod(X0,X0)) > X0 > X0 ) ).

thf(func_def_3043,type,
    sK2466: 
      !>[X0: $tType] : ( ( X0 > $o ) > set(product_prod(X0,X0)) > X0 > X0 ) ).

thf(func_def_3044,type,
    sK2467: 
      !>[X0: $tType] : ( nat > X0 > X0 > set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_3045,type,
    sK2468: 
      !>[X0: $tType] : ( nat > X0 > X0 > set(product_prod(X0,X0)) > nat ) ).

thf(func_def_3046,type,
    sK2469: 
      !>[X0: $tType] : ( nat > X0 > X0 > set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_3047,type,
    sK2470: 
      !>[X0: $tType] : ( nat > X0 > X0 > set(product_prod(X0,X0)) > nat ) ).

thf(func_def_3048,type,
    sK2471: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > nat > X0 > X0 > X0 ) ).

thf(func_def_3049,type,
    sK2472: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > nat > X0 > X0 > X0 ) ).

thf(func_def_3050,type,
    sK2473: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > nat > X0 > X0 > X0 ) ).

thf(func_def_3051,type,
    sK2474: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > list(X0) > X0 > list(X0) > list(X0) ) ).

thf(func_def_3052,type,
    sK2475: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > list(X0) > X0 > list(X0) > X0 ) ).

thf(func_def_3053,type,
    sK2476: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > list(X0) > list(X0) > X0 > list(X0) ) ).

thf(func_def_3054,type,
    sK2477: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > list(X0) > list(X0) > X0 > X0 ) ).

thf(func_def_3055,type,
    sK2478: 
      !>[X0: $tType] : ( set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_3056,type,
    sK2479: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X0 ) ).

thf(func_def_3057,type,
    sK2480: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X1 ) ).

thf(func_def_3058,type,
    sK2481: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X2 ) ).

thf(func_def_3059,type,
    sK2482: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,X3))) > X3 ) ).

thf(func_def_3060,type,
    sK2483: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X1 > X0 ) > option(X1) > X1 ) ).

thf(func_def_3061,type,
    sK2484: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > set(X1) ) > ( X1 > X0 ) > set(X2) > X2 ) ).

thf(func_def_3062,type,
    sK2485: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,X2) > ( X0 > X1 ) > product_prod(X1,X2) > X0 ) ).

thf(func_def_3063,type,
    sK2486: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,X2) > ( X0 > X1 ) > product_prod(X1,X2) > X2 ) ).

thf(func_def_3064,type,
    sK2487: 
      !>[X0: $tType] : ( X0 > X0 > set(product_prod(X0,X0)) > nat > X0 ) ).

thf(func_def_3065,type,
    sK2488: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X0 > X1 ) > ( X1 > X0 ) > X1 ) ).

thf(func_def_3066,type,
    sK2489: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X1 > X0 ) > set(X0) > X0 ) ).

thf(func_def_3067,type,
    sK2490: real > real > ( real > nat > real ) > ( nat > real ) > nat ).

thf(func_def_3068,type,
    sK2491: real > real > ( real > nat > real ) > ( nat > real ) > real ).

thf(func_def_3069,type,
    sK2492: real > real > ( real > nat > real ) > ( nat > real ) > real ).

thf(func_def_3070,type,
    sK2493: real > real > ( real > nat > real ) > real ).

thf(func_def_3071,type,
    sK2494: real > ( real > nat > real ) > ( real > nat > real ) > nat ).

thf(func_def_3072,type,
    sK2495: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( X2 > ( X0 > X1 > X2 > $o ) > product_prod(X0,X1) > X0 ) ).

thf(func_def_3073,type,
    sK2496: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( X2 > ( X0 > X1 > X2 > $o ) > product_prod(X0,X1) > X1 ) ).

thf(func_def_3074,type,
    sK2497: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 > set(X0) ) > X0 > product_prod(X2,X1) > X2 ) ).

thf(func_def_3075,type,
    sK2498: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 > set(X0) ) > X0 > product_prod(X2,X1) > X1 ) ).

thf(func_def_3076,type,
    sK2499: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_3077,type,
    sK2500: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_3078,type,
    sK2501: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X0 ) > ( X2 > set(X1) ) > set(X2) > X2 ) ).

thf(func_def_3079,type,
    sK2502: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X3 ) ).

thf(func_def_3080,type,
    sK2503: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X2 ) ).

thf(func_def_3081,type,
    sK2504: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X1 ) ).

thf(func_def_3082,type,
    sK2505: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( product_prod(X3,product_prod(X2,product_prod(X1,X0))) > $o ) > X0 ) ).

thf(func_def_3083,type,
    sK2506: 
      !>[X0: $tType,X1: $tType] : ( nat > ( X0 > X1 > $o ) > set(X1) > set(X0) > X1 ) ).

thf(func_def_3084,type,
    sK2507: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > nat ) > ( X0 > X1 > $o ) > set(X1) > set(X0) > X1 ) ).

thf(func_def_3085,type,
    sK2508: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3086,type,
    sK2509: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3087,type,
    sK2510: real > real > ( real > real ) > real ).

thf(func_def_3088,type,
    sK2511: real > real > ( real > real ) > real ).

thf(func_def_3089,type,
    sK2512: ( real > real ) > ( real > real ) > ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_3090,type,
    sK2513: nat > real > real > ( nat > real > real ) > nat ).

thf(func_def_3091,type,
    sK2514: nat > real > real > ( nat > real > real ) > real ).

thf(func_def_3092,type,
    sK2515: real > real > ( real > real ) > ( nat > real > real ) > nat > real ).

thf(func_def_3093,type,
    sK2516: nat > real > real > ( nat > real > real ) > nat ).

thf(func_def_3094,type,
    sK2517: nat > real > real > ( nat > real > real ) > real ).

thf(func_def_3095,type,
    sK2518: real > real > ( real > real ) > ( nat > real > real ) > nat > real ).

thf(func_def_3096,type,
    sK2519: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X0 > set(X1) ) > set(X0) > X0 ) ).

thf(func_def_3097,type,
    sK2520: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_3098,type,
    sK2521: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_3099,type,
    sK2522: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X0) > X0 > X1 ) ).

thf(func_def_3100,type,
    sK2523: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,X2) > ( X0 > X2 > X1 ) > ( X1 > $o ) > X0 ) ).

thf(func_def_3101,type,
    sK2524: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,X2) > ( X0 > X2 > X1 ) > ( X1 > $o ) > X2 ) ).

thf(func_def_3102,type,
    sK2525: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( X2 > product_prod(X1,X0) > ( X1 > X0 > X2 > $o ) > X1 ) ).

thf(func_def_3103,type,
    sK2526: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( X2 > product_prod(X1,X0) > ( X1 > X0 > X2 > $o ) > X0 ) ).

thf(func_def_3104,type,
    sK2527: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,X2) > ( X0 > X2 > set(X1) ) > X1 > X0 ) ).

thf(func_def_3105,type,
    sK2528: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( product_prod(X0,X2) > ( X0 > X2 > set(X1) ) > X1 > X2 ) ).

thf(func_def_3106,type,
    sK2529: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3107,type,
    sK2530: nat > vEBT_VEBT > nat ).

thf(func_def_3108,type,
    sK2531: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X0 ) ).

thf(func_def_3109,type,
    sK2532: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X1 ) ).

thf(func_def_3110,type,
    sK2533: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X2 ) ).

thf(func_def_3111,type,
    sK2534: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X3 ) ).

thf(func_def_3112,type,
    sK2535: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,X4)))) > X4 ) ).

thf(func_def_3113,type,
    sK2536: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X1) > list(X0) > list(X2) > $o ) > X1 ) ).

thf(func_def_3114,type,
    sK2537: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X1) > list(X0) > list(X2) > $o ) > list(X1) ) ).

thf(func_def_3115,type,
    sK2538: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X1) > list(X0) > list(X2) > $o ) > X0 ) ).

thf(func_def_3116,type,
    sK2539: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X1) > list(X0) > list(X2) > $o ) > list(X0) ) ).

thf(func_def_3117,type,
    sK2540: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X1) > list(X0) > list(X2) > $o ) > X2 ) ).

thf(func_def_3118,type,
    sK2541: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( list(X1) > list(X0) > list(X2) > $o ) > list(X2) ) ).

thf(func_def_3119,type,
    sK2542: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( X2 > X0 > ( X1 > X0 > X2 > $o ) > set(X1) > X1 ) ).

thf(func_def_3120,type,
    sK2543: list(vEBT_VEBT) > vEBT_VEBT ).

thf(func_def_3121,type,
    sK2544: list(vEBT_VEBT) > nat ).

thf(func_def_3122,type,
    sK2545: nat > list(vEBT_VEBT) > nat > nat > nat > nat ).

thf(func_def_3123,type,
    sK2546: list(vEBT_VEBT) > nat > nat > nat > nat > nat ).

thf(func_def_3124,type,
    sK2547: nat > vEBT_VEBT > list(vEBT_VEBT) > nat ).

thf(func_def_3125,type,
    sK2548: nat > list(vEBT_VEBT) > vEBT_VEBT ).

thf(func_def_3126,type,
    sK2549: list(vEBT_VEBT) > vEBT_VEBT ).

thf(func_def_3127,type,
    sK2550: list(vEBT_VEBT) > nat ).

thf(func_def_3128,type,
    sK2551: nat > list(vEBT_VEBT) > nat > nat > nat > nat ).

thf(func_def_3129,type,
    sK2552: list(vEBT_VEBT) > nat > nat > nat > nat > nat ).

thf(func_def_3130,type,
    sK2553: nat > vEBT_VEBT > list(vEBT_VEBT) > nat ).

thf(func_def_3131,type,
    sK2554: nat > list(vEBT_VEBT) > vEBT_VEBT ).

thf(func_def_3132,type,
    sK2555: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 > X0 ) > ( X2 > X1 > X0 ) > product_prod(X2,X1) > X2 ) ).

thf(func_def_3133,type,
    sK2556: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 > X0 ) > ( X2 > X1 > X0 ) > product_prod(X2,X1) > X1 ) ).

thf(func_def_3134,type,
    sK2557: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_3135,type,
    sK2558: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_3136,type,
    sK2559: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > set(X1) ) > ( X0 > X1 ) > ( X2 > set(X0) ) > set(X2) > X2 ) ).

thf(func_def_3137,type,
    sK2560: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X4 ) ).

thf(func_def_3138,type,
    sK2561: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X3 ) ).

thf(func_def_3139,type,
    sK2562: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X2 ) ).

thf(func_def_3140,type,
    sK2563: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X1 ) ).

thf(func_def_3141,type,
    sK2564: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType] : ( ( product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))) > $o ) > X0 ) ).

thf(func_def_3142,type,
    sK2565: nat > real > real > ( nat > real > real ) > nat ).

thf(func_def_3143,type,
    sK2566: nat > real > real > ( nat > real > real ) > real ).

thf(func_def_3144,type,
    sK2567: real > real > ( real > real ) > ( nat > real > real ) > nat > real ).

thf(func_def_3145,type,
    sK2568: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 > X0 ) > ( X0 > $o ) > ( X1 > X2 > $o ) > X2 ) ).

thf(func_def_3146,type,
    sK2569: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( X2 > X1 > X0 ) > ( X0 > $o ) > ( X1 > X2 > $o ) > X1 ) ).

thf(func_def_3147,type,
    sK2570: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( X2 > X0 > set(X1) > ( X1 > X0 > X2 > $o ) > X1 ) ).

thf(func_def_3148,type,
    sK2571: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) > X0 > X1 > X0 > X1 > X1 ) ).

thf(func_def_3149,type,
    sK2572: 
      !>[X0: $tType,X1: $tType] : ( set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) > X0 > X1 > X0 > X1 > X0 ) ).

thf(func_def_3150,type,
    sK2573: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X0 ) ).

thf(func_def_3151,type,
    sK2574: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X1 ) ).

thf(func_def_3152,type,
    sK2575: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X2 ) ).

thf(func_def_3153,type,
    sK2576: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X3 ) ).

thf(func_def_3154,type,
    sK2577: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X4 ) ).

thf(func_def_3155,type,
    sK2578: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,X5))))) > X5 ) ).

thf(func_def_3156,type,
    sK2579: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X5 ) ).

thf(func_def_3157,type,
    sK2580: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X4 ) ).

thf(func_def_3158,type,
    sK2581: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X3 ) ).

thf(func_def_3159,type,
    sK2582: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X2 ) ).

thf(func_def_3160,type,
    sK2583: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X1 ) ).

thf(func_def_3161,type,
    sK2584: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType] : ( ( product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0))))) > $o ) > X0 ) ).

thf(func_def_3162,type,
    sK2585: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > set(X0) > X1 ) ).

thf(func_def_3163,type,
    sK2586: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > ( X0 > $o ) > ( X1 > $o ) > X1 ) ).

thf(func_def_3164,type,
    sK2587: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) > ( X1 > X0 > $o ) > X1 ) ).

thf(func_def_3165,type,
    sK2588: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) > ( X1 > X0 > $o ) > X0 ) ).

thf(func_def_3166,type,
    sK2589: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) > ( X1 > X0 > $o ) > X1 ) ).

thf(func_def_3167,type,
    sK2590: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > set(product_prod(product_prod(X1,X0),product_prod(X1,X0))) > ( X1 > X0 > $o ) > X0 ) ).

thf(func_def_3168,type,
    sK2591: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) > X1 > X0 > X0 ) ).

thf(func_def_3169,type,
    sK2592: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) > X1 > X0 > X1 ) ).

thf(func_def_3170,type,
    sK2593: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) > X1 > X0 > X0 ) ).

thf(func_def_3171,type,
    sK2594: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) > X1 > X0 > X1 ) ).

thf(func_def_3172,type,
    sK2595: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) > X1 > X0 > X0 ) ).

thf(func_def_3173,type,
    sK2596: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) > X1 > X0 > X1 ) ).

thf(func_def_3174,type,
    sK2597: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) > X1 > X0 > X0 ) ).

thf(func_def_3175,type,
    sK2598: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) > X1 > X0 > X1 ) ).

thf(func_def_3176,type,
    sK2599: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) > X1 > X0 > X0 ) ).

thf(func_def_3177,type,
    sK2600: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > set(product_prod(product_prod(X0,X1),product_prod(X0,X1))) > X1 > X0 > X1 ) ).

thf(func_def_3178,type,
    sK2601: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X0 ) ).

thf(func_def_3179,type,
    sK2602: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X1 ) ).

thf(func_def_3180,type,
    sK2603: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X2 ) ).

thf(func_def_3181,type,
    sK2604: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X3 ) ).

thf(func_def_3182,type,
    sK2605: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X4 ) ).

thf(func_def_3183,type,
    sK2606: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X5 ) ).

thf(func_def_3184,type,
    sK2607: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( product_prod(X0,product_prod(X1,product_prod(X2,product_prod(X3,product_prod(X4,product_prod(X5,X6)))))) > X6 ) ).

thf(func_def_3185,type,
    sK2608: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > set(X1) ) > set(X0) > X0 ) ).

thf(func_def_3186,type,
    sK2609: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > set(X1) ) > set(X0) > X0 ) ).

thf(func_def_3187,type,
    sK2610: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( list(X3) > list(X2) > list(X1) > list(X0) > $o ) > X3 ) ).

thf(func_def_3188,type,
    sK2611: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( list(X3) > list(X2) > list(X1) > list(X0) > $o ) > list(X3) ) ).

thf(func_def_3189,type,
    sK2612: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( list(X3) > list(X2) > list(X1) > list(X0) > $o ) > X2 ) ).

thf(func_def_3190,type,
    sK2613: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( list(X3) > list(X2) > list(X1) > list(X0) > $o ) > list(X2) ) ).

thf(func_def_3191,type,
    sK2614: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( list(X3) > list(X2) > list(X1) > list(X0) > $o ) > X1 ) ).

thf(func_def_3192,type,
    sK2615: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( list(X3) > list(X2) > list(X1) > list(X0) > $o ) > list(X1) ) ).

thf(func_def_3193,type,
    sK2616: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( list(X3) > list(X2) > list(X1) > list(X0) > $o ) > X0 ) ).

thf(func_def_3194,type,
    sK2617: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( list(X3) > list(X2) > list(X1) > list(X0) > $o ) > list(X0) ) ).

thf(func_def_3195,type,
    sK2618: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( ( X0 > filter(X1) ) > ( X3 > filter(X2) ) > ( X2 > X1 ) > set(X3) > set(X0) > X0 ) ).

thf(func_def_3196,type,
    sK2619: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X6 ) ).

thf(func_def_3197,type,
    sK2620: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X5 ) ).

thf(func_def_3198,type,
    sK2621: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X4 ) ).

thf(func_def_3199,type,
    sK2622: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X3 ) ).

thf(func_def_3200,type,
    sK2623: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X2 ) ).

thf(func_def_3201,type,
    sK2624: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X1 ) ).

thf(func_def_3202,type,
    sK2625: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType,X4: $tType,X5: $tType,X6: $tType] : ( ( product_prod(X6,product_prod(X5,product_prod(X4,product_prod(X3,product_prod(X2,product_prod(X1,X0)))))) > $o ) > X0 ) ).

thf(func_def_3203,type,
    sK2626: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( set(X1) > ( X3 > set(X2) ) > ( X1 > X3 ) > ( X2 > X0 ) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_3204,type,
    sK2627: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( set(X1) > ( X3 > set(X2) ) > ( X1 > X3 ) > ( X2 > X0 ) > ( X1 > set(X0) ) > X2 ) ).

thf(func_def_3205,type,
    sK2628: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X0 > X1 ) > set(X0) > X0 ) ).

thf(func_def_3206,type,
    sK2629: real ).

thf(func_def_3207,type,
    sK2630: nat ).

thf(func_def_3208,type,
    sK2631: nat ).

thf(func_def_3209,type,
    sK2632: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( set(X2) > ( X1 > set(X0) ) > ( X2 > set(X3) ) > set(X1) > ( X0 > X3 ) > X2 ) ).

thf(func_def_3210,type,
    sK2633: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( set(X2) > ( X1 > set(X0) ) > ( X2 > set(X3) ) > set(X1) > ( X0 > X3 ) > X2 ) ).

thf(func_def_3211,type,
    sK2634: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( set(X2) > ( X1 > set(X0) ) > ( X2 > set(X3) ) > set(X1) > ( X0 > X3 ) > X2 ) ).

thf(func_def_3212,type,
    sK2635: 
      !>[X0: $tType,X1: $tType,X2: $tType,X3: $tType] : ( set(X2) > ( X1 > set(X0) ) > ( X2 > set(X3) ) > set(X1) > ( X0 > X3 ) > X2 ) ).

thf(func_def_3213,type,
    sK2636: nat > list(vEBT_VEBT) > vEBT_VEBT > nat ).

thf(func_def_3214,type,
    sK2637: nat > list(vEBT_VEBT) > vEBT_VEBT > nat ).

thf(func_def_3215,type,
    sK2638: vEBT_VEBT > nat > list(vEBT_VEBT) > nat ).

thf(func_def_3216,type,
    sK2639: vEBT_VEBT > nat > list(vEBT_VEBT) > nat ).

thf(func_def_3217,type,
    sK2640: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( set(X1) > filter(X0) > ( X1 > filter(X2) ) > ( X0 > X2 ) > X1 ) ).

thf(func_def_3218,type,
    sK2641: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).

thf(func_def_3219,type,
    sK2642: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > ( X1 > X0 ) > set(X1) > X0 ) ).

thf(func_def_3220,type,
    sK2643: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > filter(X0) > set(X1) > X1 ) ).

thf(func_def_3221,type,
    sK2644: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > $o ) > ( X1 > filter(X0) ) > set(X1) > X1 > X0 > $o ) ).

thf(func_def_3222,type,
    sK2645: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > filter(X0) ) > ( X0 > $o ) > set(X1) > X1 ) ).

thf(func_def_3223,type,
    sK2646: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > filter(X0) ) > ( X0 > $o ) > set(X1) > X1 ) ).

thf(func_def_3224,type,
    sK2647: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > filter(X0) ) > ( X0 > $o ) > set(X1) > X1 ) ).

thf(func_def_3225,type,
    sK2648: 
      !>[X0: $tType] : ( list(X0) > set(product_prod(X0,X0)) > X0 ) ).

thf(func_def_3226,type,
    sK2649: 
      !>[X0: $tType] : ( X0 > nat > set(product_prod(X0,X0)) > X0 > nat > X0 ) ).

thf(func_def_3227,type,
    sK2650: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X0) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_3228,type,
    sK2651: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > set(X0) > X1 ) ).

thf(func_def_3229,type,
    sK2652: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > filter(X0) ) > set(X1) > ( X0 > $o ) > set(X1) ) ).

thf(func_def_3230,type,
    sK2653: 
      !>[X0: $tType,X1: $tType] : ( filter(X1) > filter(X0) > ( product_prod(X1,X0) > $o ) > X0 > $o ) ).

thf(func_def_3231,type,
    sK2654: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X0 > X1 ) ).

thf(func_def_3232,type,
    sK2655: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X0 > X1 ) ).

thf(func_def_3233,type,
    sK2656: nat > list(vEBT_VEBT) > vEBT_VEBT ).

thf(func_def_3234,type,
    sK2657: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X0) > ( X1 > X0 ) > X1 ) ).

thf(func_def_3235,type,
    sK2658: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X0) > set(X1) ) ).

thf(func_def_3236,type,
    sK2659: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > set(X0) > set(X1) ) ).

thf(func_def_3237,type,
    sK2660: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( set(X0) > $o ) > ( X1 > X0 ) > set(X1) ) ).

thf(func_def_3238,type,
    sK2661: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( set(X0) > $o ) > ( X1 > X0 ) > set(X0) ) ).

thf(func_def_3239,type,
    sK2662: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( set(X0) > $o ) > ( X1 > X0 ) > set(X1) ) ).

thf(func_def_3240,type,
    sK2663: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( set(X0) > $o ) > ( X1 > X0 ) > set(X0) ) ).

thf(func_def_3241,type,
    sK2664: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( set(X0) > $o ) > ( X1 > X0 ) > set(X0) ) ).

thf(func_def_3242,type,
    sK2665: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( set(X0) > $o ) > ( X1 > X0 ) > set(X1) ) ).

thf(func_def_3243,type,
    sK2666: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( set(X0) > $o ) > ( X1 > X0 ) > set(X0) ) ).

thf(func_def_3244,type,
    sK2667: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( set(X0) > $o ) > ( X1 > X0 ) > set(X1) ) ).

thf(func_def_3245,type,
    sK2668: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( set(X0) > $o ) > ( X1 > X0 ) > set(X0) ) ).

thf(func_def_3246,type,
    sK2669: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( set(X0) > $o ) > ( X1 > X0 ) > set(X1) ) ).

thf(func_def_3247,type,
    sK2670: 
      !>[X0: $tType] : ( list(X0) > list(X0) > list(X0) > list(X0) > list(X0) ) ).

thf(func_def_3248,type,
    sK2671: 
      !>[X0: $tType] : ( list(X0) > X0 > list(X0) > list(X0) > list(X0) ) ).

thf(func_def_3249,type,
    sK2672: 
      !>[X0: $tType] : ( X0 > list(X0) > list(X0) > list(X0) > list(X0) ) ).

thf(func_def_3250,type,
    sK2673: 
      !>[X0: $tType,X1: $tType] : ( option(X1) > X0 > ( X1 > X0 ) > X1 ) ).

thf(func_def_3251,type,
    sK2674: 
      !>[X0: $tType] : ( X0 > list(X0) > list(X0) > list(X0) ) ).

thf(func_def_3252,type,
    sK2675: 
      !>[X0: $tType] : ( set(X0) > ( X0 > $o ) > X0 ) ).

thf(func_def_3253,type,
    sK2676: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 > $o ) > ( X1 > $o ) > X1 ) ).

thf(func_def_3254,type,
    sK2677: ( int > $o ) > set(int) > int > int ).

thf(func_def_3255,type,
    sK2678: ( int > $o ) > int > int ).

thf(func_def_3256,type,
    sK2679: ( int > $o ) > set(int) > int > int ).

thf(func_def_3257,type,
    sK2680: ( int > $o ) > int > int ).

thf(func_def_3258,type,
    sK2681: ( int > $o ) > int ).

thf(func_def_3259,type,
    sK2682: ( int > $o ) > set(int) > int > int ).

thf(func_def_3260,type,
    sK2683: ( int > $o ) > int > int ).

thf(func_def_3261,type,
    sK2684: ( int > $o ) > set(int) > int > int ).

thf(func_def_3262,type,
    sK2685: ( int > $o ) > int > int ).

thf(func_def_3263,type,
    sK2686: ( int > $o ) > set(int) > int > int ).

thf(func_def_3264,type,
    sK2687: ( int > $o ) > int > int ).

thf(func_def_3265,type,
    sK2688: ( int > $o ) > set(int) > int > int ).

thf(func_def_3266,type,
    sK2689: ( int > $o ) > int > int ).

thf(func_def_3267,type,
    sK2690: ( int > $o ) > int ).

thf(func_def_3268,type,
    sK2691: ( int > $o ) > set(int) > int > int ).

thf(func_def_3269,type,
    sK2692: ( int > $o ) > int > int ).

thf(func_def_3270,type,
    sK2693: ( int > $o ) > set(int) > int > int ).

thf(func_def_3271,type,
    sK2694: ( int > $o ) > int > int ).

thf(func_def_3272,type,
    sK2695: ( int > $o ) > int ).

thf(func_def_3273,type,
    sK2696: ( int > $o ) > set(int) > int > int ).

thf(func_def_3274,type,
    sK2697: ( int > $o ) > int > int ).

thf(func_def_3275,type,
    sK2698: ( int > $o ) > set(int) > int > int ).

thf(func_def_3276,type,
    sK2699: ( int > $o ) > int > int ).

thf(func_def_3277,type,
    sK2700: ( int > $o ) > set(int) > int > int ).

thf(func_def_3278,type,
    sK2701: ( int > $o ) > int > int ).

thf(func_def_3279,type,
    sK2702: ( int > $o ) > set(int) > int > int ).

thf(func_def_3280,type,
    sK2703: ( int > $o ) > int > int ).

thf(func_def_3281,type,
    sK2704: ( int > $o ) > int ).

thf(func_def_3282,type,
    sK2705: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X0) > X0 > X1 ) ).

thf(func_def_3283,type,
    sK2706: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > filter(X0) ) > set(X1) > X1 ) ).

thf(func_def_3284,type,
    sK2707: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > filter(X0) ) > set(X1) > X1 ) ).

thf(func_def_3285,type,
    sK2708: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > filter(X0) ) > set(X1) > X1 ) ).

thf(func_def_3286,type,
    sK2709: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_3287,type,
    sK2710: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_3288,type,
    sK2711: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X0) > X1 > X0 ) ).

thf(func_def_3289,type,
    sK2712: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > set(X0) > X0 > X1 ) ).

thf(func_def_3290,type,
    sK2713: 
      !>[X0: $tType,X1: $tType] : ( filter(X1) > ( X1 > X0 > $o ) > X1 > X0 ) ).

thf(func_def_3291,type,
    sK2714: 
      !>[X0: $tType] : ( list(X0) > set(product_prod(X0,X0)) > list(X0) > nat ) ).

thf(func_def_3292,type,
    sK2715: 
      !>[X0: $tType] : ( X0 > set(product_prod(X0,X0)) > X0 > X0 ) ).

thf(func_def_3293,type,
    sK2716: 
      !>[X0: $tType] : ( X0 > X0 > X0 ) ).

thf(func_def_3294,type,
    sK2717: 
      !>[X0: $tType] : ( X0 > set(product_prod(X0,X0)) > X0 > X0 ) ).

thf(func_def_3295,type,
    sK2718: 
      !>[X0: $tType] : ( X0 > set(product_prod(X0,X0)) > X0 > X0 ) ).

thf(func_def_3296,type,
    sK2719: 
      !>[X0: $tType] : ( nat > ( X0 > $o ) > X0 > X0 ) ).

thf(func_def_3297,type,
    sK2720: 
      !>[X0: $tType] : ( nat > ( X0 > $o ) > X0 > X0 ) ).

thf(func_def_3298,type,
    sK2721: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_3299,type,
    sK2722: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_3300,type,
    sK2723: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_3301,type,
    sK2724: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > set(X0) ) > X1 ) ).

thf(func_def_3302,type,
    sK2725: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) > list(X0) > list(list(X0)) ) ).

thf(func_def_3303,type,
    sK2726: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X1,X0) > X0 > X1 ) ).

thf(func_def_3304,type,
    sK2727: 
      !>[X0: $tType,X1: $tType] : ( product_prod(X0,X1) > X0 > X1 ) ).

thf(func_def_3305,type,
    sK2728: ( int > int > $o ) > int > int > int ).

thf(func_def_3306,type,
    sK2729: ( int > int > $o ) > int > int > int ).

thf(func_def_3307,type,
    sK2730: 
      !>[X0: $tType] : ( set(X0) > ( X0 > nat ) > X0 ) ).

thf(func_def_3308,type,
    sK2731: 
      !>[X0: $tType] : ( set(X0) > ( X0 > nat ) > X0 ) ).

thf(func_def_3309,type,
    sK2732: 
      !>[X0: $tType] : ( set(X0) > ( X0 > nat ) > X0 ) ).

thf(func_def_3310,type,
    sK2733: 
      !>[X0: $tType] : ( set(X0) > ( X0 > nat ) > X0 ) ).

thf(func_def_3311,type,
    sK2734: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_3312,type,
    sK2735: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_3313,type,
    sK2736: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_3314,type,
    sK2737: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3315,type,
    sK2738: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3316,type,
    sK2739: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3317,type,
    sK2740: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_3318,type,
    sK2741: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

thf(func_def_3319,type,
    sK2742: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) > $o ) > filter(X0) > X0 > $o ) ).

thf(func_def_3320,type,
    sK2743: 
      !>[X0: $tType] : ( product_prod(X0,X0) > set(product_prod(X0,X0)) > nat ) ).

thf(func_def_3321,type,
    sK2744: 
      !>[X0: $tType] : ( ( X0 > $o ) > ( X0 > $o ) > X0 ) ).

thf(func_def_3322,type,
    sK2745: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3323,type,
    sK2746: nat > vEBT_VEBT > nat > nat ).

thf(func_def_3324,type,
    sK2747: 
      !>[X0: $tType] : ( list(X0) > set(X0) > X0 ) ).

thf(func_def_3325,type,
    sK2748: 
      !>[X0: $tType] : ( nat > list(X0) > list(X0) ) ).

thf(func_def_3326,type,
    sK2749: 
      !>[X0: $tType] : ( nat > set(X0) > set(X0) ) ).

thf(func_def_3327,type,
    sK2750: 
      !>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).

thf(func_def_3328,type,
    sK2751: 
      !>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).

thf(func_def_3329,type,
    sK2752: 
      !>[X0: $tType] : ( X0 > list(X0) > list(X0) ) ).

thf(func_def_3330,type,
    sK2753: 
      !>[X0: $tType] : ( X0 > list(X0) > nat ) ).

thf(func_def_3331,type,
    sK2754: nat > nat > ( nat > $o ) > nat ).

thf(func_def_3332,type,
    sK2755: nat > nat > ( nat > $o ) > nat ).

thf(func_def_3333,type,
    sK2756: nat > nat > ( nat > $o ) > nat ).

thf(func_def_3334,type,
    sK2757: nat > nat > ( nat > $o ) > nat ).

thf(func_def_3335,type,
    sK2758: nat > nat > ( nat > $o ) > nat ).

thf(func_def_3336,type,
    sK2759: int > int > ( int > $o ) > int ).

thf(func_def_3337,type,
    sK2760: int > int > ( int > $o ) > int ).

thf(func_def_3338,type,
    sK2761: int > int > ( int > $o ) > int ).

thf(func_def_3339,type,
    sK2762: int > int > ( int > $o ) > int ).

thf(func_def_3340,type,
    sK2763: int > int > ( int > $o ) > int ).

thf(func_def_3341,type,
    sK2764: int > int > ( int > $o ) > int ).

thf(func_def_3342,type,
    sK2765: nat > ( real > $o ) > real > real ).

thf(func_def_3343,type,
    sK2766: 
      !>[X0: $tType] : ( list(X0) > ( X0 > $o ) > list(X0) ) ).

thf(func_def_3344,type,
    sK2767: 
      !>[X0: $tType] : ( list(X0) > ( X0 > $o ) > X0 ) ).

thf(func_def_3345,type,
    sK2768: 
      !>[X0: $tType] : ( list(X0) > ( X0 > $o ) > X0 ) ).

thf(func_def_3346,type,
    sK2769: 
      !>[X0: $tType] : ( list(X0) > ( X0 > $o ) > X0 ) ).

thf(func_def_3347,type,
    sK2770: 
      !>[X0: $tType] : ( list(X0) > ( X0 > $o ) > X0 ) ).

thf(func_def_3348,type,
    sK2771: 
      !>[X0: $tType] : ( list(X0) > ( X0 > $o ) > nat ) ).

thf(func_def_3349,type,
    sK2772: 
      !>[X0: $tType] : ( nat > ( nat > X0 > $o ) > nat ) ).

thf(func_def_3350,type,
    sK2773: 
      !>[X0: $tType] : ( nat > ( nat > X0 > $o ) > list(X0) ) ).

thf(func_def_3351,type,
    sK2774: 
      !>[X0: $tType] : ( ( X0 > $o ) > list(X0) > X0 ) ).

thf(func_def_3352,type,
    sK2775: nat > nat > nat > nat ).

thf(func_def_3353,type,
    sK2776: 
      !>[X0: $tType] : ( list(X0) > nat > list(X0) ) ).

thf(func_def_3354,type,
    sK2777: 
      !>[X0: $tType] : ( nat > list(X0) > list(X0) ) ).

thf(func_def_3355,type,
    sK2778: 
      !>[X0: $tType] : ( list(X0) > nat > list(X0) ) ).

thf(func_def_3356,type,
    sK2779: 
      !>[X0: $tType] : ( set(X0) > nat > set(X0) ) ).

thf(func_def_3357,type,
    sK2780: 
      !>[X0: $tType] : ( set(X0) > nat > set(X0) ) ).

thf(func_def_3358,type,
    sK2781: 
      !>[X0: $tType] : ( list(X0) > list(X0) > nat > nat ) ).

thf(func_def_3359,type,
    sK2782: ( int > $o ) > int > int ).

thf(func_def_3360,type,
    sK2783: ( int > $o ) > int > int ).

thf(func_def_3361,type,
    sK2784: ( int > $o ) > int ).

thf(func_def_3362,type,
    sK2785: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3363,type,
    sK2786: vEBT_VEBT > nat > nat > nat ).

thf(func_def_3364,type,
    sK2787: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_3365,type,
    sK2788: 
      !>[X0: $tType,X1: $tType] : ( real > ( X0 > X1 ) > filter(X0) > real ) ).

thf(func_def_3366,type,
    sK2789: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > nat ) ).

thf(func_def_3367,type,
    sK2790: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > real ) ).

thf(func_def_3368,type,
    sK2791: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > nat ) ).

thf(func_def_3369,type,
    sK2792: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > real ) ).

thf(func_def_3370,type,
    sK2793: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > $o ) > X1 > set(X1) > set(X1) ) ).

thf(func_def_3371,type,
    sK2794: 
      !>[X0: $tType,X1: $tType] : ( X1 > filter(X0) > ( X0 > X1 ) > set(X1) ) ).

thf(func_def_3372,type,
    sK2795: 
      !>[X0: $tType,X1: $tType] : ( filter(X0) > X1 > ( X0 > X1 ) > X1 ) ).

thf(func_def_3373,type,
    sK2796: 
      !>[X0: $tType,X1: $tType] : ( filter(X0) > X1 > ( X0 > X1 ) > X1 ) ).

thf(func_def_3374,type,
    sK2797: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > $o ) > X1 ) ).

thf(func_def_3375,type,
    sK2798: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > $o ) > X1 ) ).

thf(func_def_3376,type,
    sK2799: 
      !>[X0: $tType,X1: $tType] : ( filter(X0) > ( X0 > X1 ) > X1 ) ).

thf(func_def_3377,type,
    sK2800: 
      !>[X0: $tType,X1: $tType] : ( filter(X0) > ( X0 > X1 ) > X1 ) ).

thf(func_def_3378,type,
    sK2801: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > set(X1) > X1 ) ).

thf(func_def_3379,type,
    sK2802: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > set(X1) > X1 ) ).

thf(func_def_3380,type,
    sK2803: 
      !>[X0: $tType,X1: $tType] : ( X0 > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_3381,type,
    sK2804: 
      !>[X0: $tType,X1: $tType] : ( X0 > ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_3382,type,
    sK2805: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > X0 > ( X1 > X0 ) > X1 ) ).

thf(func_def_3383,type,
    sK2806: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X0 > X1 ) ).

thf(func_def_3384,type,
    sK2807: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_3385,type,
    sK2808: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_3386,type,
    sK2809: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_3387,type,
    sK2810: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > ( X1 > X0 ) > X1 ) ).

thf(func_def_3388,type,
    sK2811: 
      !>[X0: $tType,X1: $tType] : ( X1 > filter(X0) > ( X0 > X1 ) > real ) ).

thf(func_def_3389,type,
    sK2812: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > set(X1) > X1 ) ).

thf(func_def_3390,type,
    sK2813: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > set(X1) > X1 ) ).

thf(func_def_3391,type,
    sK2814: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_3392,type,
    sK2815: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_3393,type,
    sK2816: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > set(X1) > X1 ) ).

thf(func_def_3394,type,
    sK2817: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > set(X1) > X1 ) ).

thf(func_def_3395,type,
    sK2818: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X1 ) ).

thf(func_def_3396,type,
    sK2819: 
      !>[X0: $tType,X1: $tType] : ( X1 > filter(X0) > ( X0 > X1 ) > X1 ) ).

thf(func_def_3397,type,
    sK2820: 
      !>[X0: $tType,X1: $tType] : ( X1 > filter(X0) > ( X0 > X1 ) > X1 ) ).

thf(func_def_3398,type,
    sK2821: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > X1 > ( X0 > X1 ) > X1 ) ).

thf(func_def_3399,type,
    sK2822: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > X0 > ( X1 > X0 ) > X1 ) ).

thf(func_def_3400,type,
    sK2823: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > set(X0) > X1 > X1 ) ).

thf(func_def_3401,type,
    sK2824: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > X0 > X1 ) ).

thf(func_def_3402,type,
    sK2825: 
      !>[X0: $tType,X1: $tType] : ( X1 > filter(X0) > ( X0 > X1 ) > product_prod(X1,X1) > $o ) ).

thf(func_def_3403,type,
    sK2826: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > ( X0 > X1 ) > X1 ) ).

thf(func_def_3404,type,
    sK2827: 
      !>[X0: $tType,X1: $tType] : ( set(X0) > ( X0 > X1 ) > X1 ) ).

thf(func_def_3405,type,
    sK2828: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_3406,type,
    sK2829: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > set(X0) ) > set(X1) > X1 ) ).

thf(func_def_3407,type,
    sK2830: 
      !>[X0: $tType,X1: $tType] : ( filter(X0) > X1 > ( X0 > X1 ) > X1 ) ).

thf(func_def_3408,type,
    sK2831: 
      !>[X0: $tType,X1: $tType] : ( filter(X0) > X1 > ( X0 > X1 ) > X1 ) ).

thf(func_def_3409,type,
    sK2832: 
      !>[X0: $tType,X1: $tType] : ( filter(X0) > ( X0 > X1 ) > X1 ) ).

thf(func_def_3410,type,
    sK2833: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > set(X1) > ( X1 > X0 ) > X1 > X1 > X0 ) ).

thf(func_def_3411,type,
    sK2834: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > ( X1 > X0 ) > real ) ).

thf(func_def_3412,type,
    sK2835: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X1 > ( X1 > X0 ) > X1 > X0 ) ).

thf(func_def_3413,type,
    sK2836: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > $o ) > X1 ) ).

thf(func_def_3414,type,
    sK2837: 
      !>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > $o ) > X1 ) ).

thf(func_def_3415,type,
    sK2838: 
      !>[X0: $tType,X1: $tType] : ( X0 > X1 > ( X1 > X0 ) > real ) ).

thf(func_def_3416,type,
    sK2839: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > real ) ).

thf(func_def_3417,type,
    sK2840: 
      !>[X0: $tType,X1: $tType] : ( filter(X0) > ( X0 > X1 ) > X1 ) ).

thf(func_def_3418,type,
    sK2841: 
      !>[X0: $tType,X1: $tType] : ( set(X1) > X1 > X0 > ( X1 > X0 ) > nat > X1 ) ).

thf(func_def_3419,type,
    sK2842: 
      !>[X0: $tType,X1: $tType] : ( ( X1 > X0 ) > X0 > X1 > nat > X1 ) ).

thf(func_def_3420,type,
    sK2843: 
      !>[X0: $tType,X1: $tType] : ( filter(X0) > ( X0 > X1 ) > real ) ).

thf(func_def_3421,type,
    sK2844: nat > nat > nat ).

thf(func_def_3422,type,
    sK2845: nat > nat > nat ).

thf(func_def_3423,type,
    sK2846: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

thf(func_def_3424,type,
    sK2847: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

thf(func_def_3425,type,
    sK2848: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_3426,type,
    sK2849: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_3427,type,
    sK2850: int > ( nat > $o ) > nat ).

thf(func_def_3428,type,
    sK2851: int > ( nat > $o ) > nat ).

thf(func_def_3429,type,
    sK2852: ( nat > $o ) > nat > nat ).

thf(func_def_3430,type,
    sK2853: ( nat > $o ) > nat > nat ).

thf(func_def_3431,type,
    sK2854: ( nat > $o ) > nat > nat ).

thf(func_def_3432,type,
    sK2855: ( nat > $o ) > nat > nat ).

thf(func_def_3433,type,
    sK2856: ( nat > $o ) > nat > nat ).

thf(func_def_3434,type,
    sK2857: ( nat > $o ) > nat > nat ).

thf(func_def_3435,type,
    sK2858: ( nat > $o ) > nat > nat ).

thf(func_def_3436,type,
    sK2859: ( nat > $o ) > nat > nat ).

thf(func_def_3437,type,
    sK2860: ( nat > $o ) > nat > nat ).

thf(func_def_3438,type,
    sK2861: ( nat > $o ) > nat > nat ).

thf(func_def_3439,type,
    sK2862: ( nat > $o ) > nat > nat ).

thf(func_def_3440,type,
    sK2863: ( nat > $o ) > nat > nat ).

thf(func_def_3441,type,
    sK2864: ( nat > $o ) > nat > nat ).

thf(func_def_3442,type,
    sK2865: ( nat > $o ) > nat > nat ).

thf(func_def_3443,type,
    sK2866: ( nat > $o ) > nat > nat ).

thf(func_def_3444,type,
    sK2867: ( nat > $o ) > nat > nat ).

thf(func_def_3445,type,
    sK2868: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

thf(func_def_3446,type,
    sK2869: 
      !>[X0: $tType] : ( set(X0) > nat > X0 ) ).

thf(func_def_3447,type,
    sK2870: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

thf(func_def_3448,type,
    sK2871: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_3449,type,
    sK2872: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_3450,type,
    sK2873: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_3451,type,
    sK2874: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_3452,type,
    sK2875: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

thf(func_def_3453,type,
    sK2876: 
      !>[X0: $tType] : ( list(list(X0)) > list(X0) ) ).

thf(func_def_3454,type,
    sK2877: 
      !>[X0: $tType] : ( option(X0) > X0 ) ).

thf(func_def_3455,type,
    sK2878: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

thf(func_def_3456,type,
    sK2879: nat > nat ).

thf(func_def_3457,type,
    sK2880: 
      !>[X0: $tType] : ( ( nat > X0 ) > X0 > real ) ).

thf(func_def_3458,type,
    sK2881: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_3459,type,
    sK2882: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_3460,type,
    sK2883: 
      !>[X0: $tType] : ( ( nat > X0 ) > real ) ).

thf(func_def_3461,type,
    sK2884: 
      !>[X0: $tType] : ( ( nat > X0 ) > real ) ).

thf(func_def_3462,type,
    sK2885: 
      !>[X0: $tType] : ( ( nat > X0 ) > real ) ).

thf(func_def_3463,type,
    sK2886: 
      !>[X0: $tType] : ( ( X0 > $o ) > real ) ).

thf(func_def_3464,type,
    sK2887: 
      !>[X0: $tType] : ( ( X0 > $o ) > real ) ).

thf(func_def_3465,type,
    sK2888: 
      !>[X0: $tType] : ( ( nat > X0 ) > X0 > set(X0) ) ).

thf(func_def_3466,type,
    sK2889: 
      !>[X0: $tType] : ( ( X0 > X0 ) > X0 > X0 > X0 > X0 ) ).

thf(func_def_3467,type,
    sK2890: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3468,type,
    sK2891: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3469,type,
    sK2892: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3470,type,
    sK2893: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3471,type,
    sK2894: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3472,type,
    sK2895: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3473,type,
    sK2896: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_3474,type,
    sK2897: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_3475,type,
    sK2898: 
      !>[X0: $tType] : ( ( int > $o ) > X0 > int ) ).

thf(func_def_3476,type,
    sK2899: 
      !>[X0: $tType] : ( ( int > $o ) > X0 > int ) ).

thf(func_def_3477,type,
    sK2900: 
      !>[X0: $tType] : ( X0 > int ) ).

thf(func_def_3478,type,
    sK2901: 
      !>[X0: $tType] : ( X0 > int ) ).

thf(func_def_3479,type,
    sK2902: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_3480,type,
    sK2903: 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > X0 ) ).

thf(func_def_3481,type,
    sK2904: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3482,type,
    sK2905: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_3483,type,
    sK2906: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > set(X0) > real ) ).

thf(func_def_3484,type,
    sK2907: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > set(X0) > real ) ).

thf(func_def_3485,type,
    sK2908: 
      !>[X0: $tType] : ( ( nat > X0 ) > X0 > real ) ).

thf(func_def_3486,type,
    sK2909: 
      !>[X0: $tType] : ( ( nat > X0 ) > X0 > real ) ).

thf(func_def_3487,type,
    sK2910: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > real ) ).

thf(func_def_3488,type,
    sK2911: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3489,type,
    sK2912: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3490,type,
    sK2913: 
      !>[X0: $tType] : ( X0 > nat > nat ) ).

thf(func_def_3491,type,
    sK2914: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3492,type,
    sK2915: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3493,type,
    sK2916: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3494,type,
    sK2917: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3495,type,
    sK2918: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3496,type,
    sK2919: 
      !>[X0: $tType] : ( set(X0) > X0 > X0 ) ).

thf(func_def_3497,type,
    sK2920: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_3498,type,
    sK2921: 
      !>[X0: $tType] : ( X0 > set(X0) > X0 ) ).

thf(func_def_3499,type,
    sK2922: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_3500,type,
    sK2923: 
      !>[X0: $tType] : ( set(X0) > X0 ) ).

thf(func_def_3501,type,
    sK2924: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > set(X0) > nat > X0 ) ).

thf(func_def_3502,type,
    sK2925: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > nat > X0 ) ).

thf(func_def_3503,type,
    sK2926: 
      !>[X0: $tType] : ( ( product_prod(X0,X0) > $o ) > real ) ).

thf(func_def_3504,type,
    sK2927: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 ) ).

thf(func_def_3505,type,
    sK2928: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 ) ).

thf(func_def_3506,type,
    sK2929: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_3507,type,
    sK2930: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_3508,type,
    sK2931: 
      !>[X0: $tType] : ( ( nat > X0 ) > ( nat > X0 ) > nat > X0 ) ).

thf(func_def_3509,type,
    sK2932: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > ( nat > X0 ) > nat ) ).

thf(func_def_3510,type,
    sK2933: 
      !>[X0: $tType] : ( ( nat > X0 ) > X0 > nat > X0 ) ).

thf(func_def_3511,type,
    sK2934: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > nat ) ).

thf(func_def_3512,type,
    sK2935: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > nat ) ).

thf(func_def_3513,type,
    sK2936: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > X0 ) ).

thf(func_def_3514,type,
    sK2937: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat > nat ) ).

thf(func_def_3515,type,
    sK2938: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_3516,type,
    sK2939: 
      !>[X0: $tType] : ( ( nat > X0 ) > nat ) ).

thf(func_def_3517,type,
    sK2940: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 ) ).

thf(func_def_3518,type,
    sK2941: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 > X0 ) ).

thf(func_def_3519,type,
    sK2942: 
      !>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).

thf(func_def_3520,type,
    sK2943: ( product_prod(nat,nat) > $o ) > nat ).

thf(func_def_3521,type,
    sK2944: ( nat > $o ) > nat ).

thf(func_def_3522,type,
    sK2945: filter(nat) > nat ).

thf(func_def_3523,type,
    sK2946: nat > nat ).

thf(func_def_3524,type,
    sK2947: real > nat ).

thf(func_def_3525,type,
    sK2948: vEBT_VEBT > $o ).

thf(func_def_3526,type,
    sK2949: set(nat) > nat ).

thf(func_def_3527,type,
    sK2950: set(nat) > nat ).

thf(func_def_3528,type,
    sK2951: set(int) > int ).

thf(func_def_3529,type,
    sK2952: real > int ).

thf(func_def_3530,type,
    sK2953: real > nat ).

thf(func_def_3531,type,
    sK2954: real > nat ).

thf(func_def_3532,type,
    sK2955: real > int ).

thf(func_def_3533,type,
    sK2956: real > int ).

thf(func_def_3534,type,
    sK2957: real > nat ).

thf(func_def_3535,type,
    sK2958: real > nat ).

thf(func_def_3536,type,
    sK2959: real > int ).

thf(func_def_3537,type,
    sK2960: real > nat ).

thf(func_def_3538,type,
    sK2961: real > nat ).

thf(f61768,plain,
    $false,
    inference(trivial_inequality_removal,[],[f61767]) ).

thf(f61767,plain,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),maxs)),maxi) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),maxs)),maxi),
    inference(forward_demodulation,[],[f61763,f43575]) ).

thf(f43575,plain,
    ! [X0: $tType,X1: X0] : ( vAPP(option(X0),X0,the2(X0),vAPP(X0,option(X0),some(X0),X1)) = X1 ),
    inference(cnf_transformation,[],[f25195]) ).

thf(f25195,plain,
    ! [X0: $tType,X1: X0] : ( vAPP(option(X0),X0,the2(X0),vAPP(X0,option(X0),some(X0),X1)) = X1 ),
    inference(rectify,[],[f159]) ).

thf(f159,axiom,
    ! [X0: $tType,X51: X0] : ( vAPP(option(X0),X0,the2(X0),vAPP(X0,option(X0),some(X0),X51)) = X51 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_option_Osel) ).

thf(f61763,plain,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),maxs)),maxi) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),maxs)),vAPP(option(nat),nat,the2(nat),vAPP(nat,option(nat),some(nat),maxi))),
    inference(backward_demodulation,[],[f60815,f43575]) ).

thf(f60815,plain,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),maxs)),maxi) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),vAPP(option(nat),nat,the2(nat),vAPP(nat,option(nat),some(nat),maxs)))),vAPP(option(nat),nat,the2(nat),vAPP(nat,option(nat),some(nat),maxi))),
    inference(forward_demodulation,[],[f60814,f38570]) ).

thf(f38570,plain,
    vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),maxs)) = vAPP(nat,option(nat),some(nat),maxi),
    inference(cnf_transformation,[],[f17]) ).

thf(f17,axiom,
    vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),maxs)) = vAPP(nat,option(nat),some(nat),maxi),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16__092_060open_062Some_Amaxi_A_061_Avebt__maxt_A_ItreeList_A_B_Amaxs_J_092_060close_062) ).

thf(f60814,plain,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),maxs)),maxi) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),vAPP(option(nat),nat,the2(nat),vAPP(nat,option(nat),some(nat),maxs)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),maxs)))),
    inference(backward_demodulation,[],[f60804,f60813]) ).

thf(f60813,plain,
    vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),maxs) = vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,ma),na)))),vAPP(option(nat),nat,the2(nat),vAPP(nat,option(nat),some(nat),maxs))),
    inference(forward_demodulation,[],[f60812,f60803]) ).

thf(f60803,plain,
    vAPP(nat,option(nat),some(nat),maxs) = vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na))),
    inference(forward_demodulation,[],[f60802,f60774]) ).

thf(f60774,plain,
    ma = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList))),lx),
    inference(backward_demodulation,[],[f60743,f60772]) ).

thf(f60772,plain,
    vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(nat,nat,suc,one_one(nat))),na),
    inference(forward_demodulation,[],[f60771,f38549]) ).

thf(f38549,plain,
    vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2)) = vAPP(nat,nat,suc,one_one(nat)),
    inference(cnf_transformation,[],[f316]) ).

thf(f316,axiom,
    vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2)) = vAPP(nat,nat,suc,one_one(nat)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_315_Suc__1) ).

thf(f60771,plain,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na) = vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList),
    inference(forward_demodulation,[],[f38588,f38498]) ).

thf(f38498,plain,
    m = na,
    inference(cnf_transformation,[],[f1]) ).

thf(f1,axiom,
    m = na,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__C4_Ohyps_C_I3_J) ).

thf(f38588,plain,
    vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),m),
    inference(cnf_transformation,[],[f35]) ).

thf(f35,axiom,
    vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),m),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34__C4_Ohyps_C_I2_J) ).

thf(f60743,plain,
    ma = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(nat,nat,suc,one_one(nat))),na))),lx),
    inference(backward_demodulation,[],[f38609,f38549]) ).

thf(f38609,plain,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx) = ma,
    inference(cnf_transformation,[],[f20]) ).

thf(f20,axiom,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx) = ma,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_True) ).

thf(f60802,plain,
    vAPP(nat,option(nat),some(nat),maxs) = vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList))),lx)),na))),
    inference(forward_demodulation,[],[f60801,f60772]) ).

thf(f60801,plain,
    vAPP(nat,option(nat),some(nat),maxs) = vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(nat,nat,suc,one_one(nat))),na))),lx)),na))),
    inference(forward_demodulation,[],[f38625,f38549]) ).

thf(f38625,plain,
    vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na))) = vAPP(nat,option(nat),some(nat),maxs),
    inference(cnf_transformation,[],[f19]) ).

thf(f19,axiom,
    vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na))) = vAPP(nat,option(nat),some(nat),maxs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18__092_060open_062Some_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_092_060close_062) ).

thf(f60812,plain,
    vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),maxs) = vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,ma),na)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na))))),
    inference(forward_demodulation,[],[f60811,f60774]) ).

thf(f60811,plain,
    vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),maxs) = vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList))),lx)),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList))),lx)),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList))),lx)),na)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList))),lx)),na))))),
    inference(forward_demodulation,[],[f60810,f60772]) ).

thf(f60810,plain,
    vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),maxs) = vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(nat,nat,suc,one_one(nat))),na))),lx)),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(nat,nat,suc,one_one(nat))),na))),lx)),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(nat,nat,suc,one_one(nat))),na))),lx)),na)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(nat,nat,suc,one_one(nat))),na))),lx)),na))))),
    inference(forward_demodulation,[],[f38629,f38549]) ).

thf(f38629,plain,
    vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),maxs) = vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na))))),
    inference(cnf_transformation,[],[f13]) ).

thf(f13,axiom,
    vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),maxs) = vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12__092_060open_062treeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_A_Ivebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_J_A_061_AtreeList_A_B_Amaxs_092_060close_062) ).

thf(f60804,plain,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),maxs)),maxi) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),vAPP(option(nat),nat,the2(nat),vAPP(nat,option(nat),some(nat),maxs)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,ma),na)))),vAPP(option(nat),nat,the2(nat),vAPP(nat,option(nat),some(nat),maxs)))))),
    inference(backward_demodulation,[],[f60773,f60803]) ).

thf(f60773,plain,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),maxs)),maxi) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(list(vEBT_VEBT),nat,size_size(list(vEBT_VEBT)),treeList)),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)))))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,ma),na)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)))))))),
    inference(backward_demodulation,[],[f60749,f60772]) ).

thf(f60749,plain,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(nat,nat,suc,one_one(nat))),na)),maxs)),maxi) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(nat,nat,suc,one_one(nat))),na)),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)))))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,ma),na)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)))))))),
    inference(backward_demodulation,[],[f60733,f38549]) ).

thf(f60733,plain,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na)),maxs)),maxi) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na)),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)))))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,ma),na)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)))))))),
    inference(forward_demodulation,[],[f60732,f38560]) ).

thf(f38560,plain,
    na = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide(nat),deg),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),
    inference(cnf_transformation,[],[f7]) ).

thf(f7,axiom,
    na = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide(nat),deg),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).

thf(f60732,plain,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na)),maxs)),maxi) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide(nat),deg),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)))))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,ma),na)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,ma),na)))))))),
    inference(forward_demodulation,[],[f38497,f38609]) ).

thf(f38497,plain,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide(nat),deg),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))))))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na)),maxs)),maxi),
    inference(cnf_transformation,[],[f24655]) ).

thf(f24655,plain,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide(nat),deg),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))))))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na)),maxs)),maxi),
    inference(flattening,[],[f9000]) ).

thf(f9000,negated_conjecture,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide(nat),deg),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))))))) != vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na)),maxs)),maxi),
    inference(negated_conjecture,[],[f8999]) ).

thf(f8999,conjecture,
    vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),divide_divide(nat),deg),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),vAPP(vEBT_VEBT,list(vEBT_VEBT),vAPP(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT)),vAPP(list(vEBT_VEBT),sTfun(nat,sTfun(vEBT_VEBT,list(vEBT_VEBT))),list_update(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)),vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,vAPP(nat,vEBT_VEBT,vAPP(list(vEBT_VEBT),sTfun(nat,vEBT_VEBT),nth(vEBT_VEBT),treeList),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na))),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_low,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))),vAPP(option(nat),nat,the2(nat),vAPP(vEBT_VEBT,option(nat),vEBT_vebt_maxt,vAPP(nat,vEBT_VEBT,vAPP(vEBT_VEBT,sTfun(nat,vEBT_VEBT),vEBT_vebt_delete,summary),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),vEBT_VEBT_high,vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),summin),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na))),lx)),na)))))))) = vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),plus_plus(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),times_times(nat),vAPP(nat,nat,vAPP(nat,sTfun(nat,nat),power_power(nat),vAPP(num,nat,numeral_numeral(nat),vAPP(num,num,bit0,one2))),na)),maxs)),maxi),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP257^4 : TPTP v8.2.0. Released v8.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 15:49:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (20721)Running in auto input_syntax mode. Trying TPTP
% 0.93/1.10  % (20724)WARNING: value z3 for option sas not known
% 0.93/1.10  % (20728)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.93/1.10  % (20724)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.93/1.11  % (20723)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.93/1.11  % (20722)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.93/1.11  % (20726)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.93/1.11  % (20727)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.93/1.12  % (20725)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 10.37/2.52  % (20728)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 18.48/3.62  % Exception at run slice level
% 18.48/3.62  User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 18.48/3.64  % (20729)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 31.02/5.44  % (20727)First to succeed.
% 31.02/5.46  % (20727)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20721"
% 31.43/5.48  % (20727)Refutation found. Thanks to Tanya!
% 31.43/5.48  % SZS status Theorem for theBenchmark
% 31.43/5.48  % SZS output start Proof for theBenchmark
% See solution above
% 31.43/5.49  % (20727)------------------------------
% 31.43/5.49  % (20727)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 31.43/5.49  % (20727)Termination reason: Refutation
% 31.43/5.49  
% 31.43/5.49  % (20727)Memory used [KB]: 68317
% 31.43/5.49  % (20727)Time elapsed: 4.346 s
% 31.43/5.49  % (20727)Instructions burned: 13522 (million)
% 31.43/5.49  % (20721)Success in time 5.1 s
%------------------------------------------------------------------------------