TSTP Solution File: NUM925+4 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : NUM925+4 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n001.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 : Thu Aug 31 10:41:29 EDT 2023

% Result   : Theorem 2.74s 2.91s
% Output   : CNFRefutation 2.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      : 1244
% Syntax   : Number of formulae    : 1271 (  35 unt;1233 typ;   0 def)
%            Number of atoms       :   43 (  25 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   14 (   9   ~;   3   |;   1   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 1523 ( 793   >; 730   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    : 1228 (1228 usr; 440 con; 0-8 aty)
%            Number of variables   :   31 (   2 sgn;  19   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    archim856651990g_real: $i > $i ).

tff(decl_23,type,
    is_int: $i > $o ).

tff(decl_24,type,
    archim791455193or_rat: $i > $i ).

tff(decl_25,type,
    archim1246769320r_real: $i > $i ).

tff(decl_26,type,
    big_co1548731110nt_int: ( $i * $i ) > $i ).

tff(decl_27,type,
    code_int_of: $i > $i ).

tff(decl_28,type,
    one_one_int: $i ).

tff(decl_29,type,
    zero_zero_int: $i ).

tff(decl_30,type,
    the_int: $i > $i ).

tff(decl_31,type,
    int: $i ).

tff(decl_32,type,
    undefined_int: $i > $i ).

tff(decl_33,type,
    hilbert_Eps_int: $i > $i ).

tff(decl_34,type,
    min: $i ).

tff(decl_35,type,
    pls: $i ).

tff(decl_36,type,
    tendst1507391555omplex: ( $i * $i * $i ) > $i ).

tff(decl_37,type,
    is_bool: $i > $o ).

tff(decl_38,type,
    tendsto_complex_real: ( $i * $i * $i ) > $i ).

tff(decl_39,type,
    tendsto_nat_complex: ( $i * $i * $i ) > $i ).

tff(decl_40,type,
    tendsto_nat_real: ( $i * $i * $i ) > $i ).

tff(decl_41,type,
    tendsto_real_real: ( $i * $i * $i ) > $i ).

tff(decl_42,type,
    trivial_limit_nat: $i > $i ).

tff(decl_43,type,
    quickcheck_int_of: $i > $i ).

tff(decl_44,type,
    vanishes: $i > $i ).

tff(decl_45,type,
    bseq_real: $i > $i ).

tff(decl_46,type,
    cauchy_complex: $i > $i ).

tff(decl_47,type,
    cauchy_real: $i > $i ).

tff(decl_48,type,
    monoseq_real: $i > $i ).

tff(decl_49,type,
    summable_complex: $i > $i ).

tff(decl_50,type,
    summable_real: $i > $i ).

tff(decl_51,type,
    fFalse: $i ).

tff(decl_52,type,
    fTrue: $i ).

tff(decl_53,type,
    fdisj: ( $i * $i ) > $i ).

tff(decl_54,type,
    hAPP_C24501650l_bool: ( $i * $i ) > $i ).

tff(decl_55,type,
    hAPP_complex_bool: ( $i * $i ) > $i ).

tff(decl_56,type,
    hAPP_bool_bool: ( $i * $i ) > $i ).

tff(decl_57,type,
    hAPP_int_bool: ( $i * $i ) > $i ).

tff(decl_58,type,
    hAPP_int_int: ( $i * $i ) > $i ).

tff(decl_59,type,
    hAPP_nat_bool: ( $i * $i ) > $i ).

tff(decl_60,type,
    hAPP_nat_int: ( $i * $i ) > $i ).

tff(decl_61,type,
    hAPP_Q2096512830t_bool: ( $i * $i ) > $i ).

tff(decl_62,type,
    hAPP_rat_bool: ( $i * $i ) > $i ).

tff(decl_63,type,
    hAPP_real_bool: ( $i * $i ) > $i ).

tff(decl_64,type,
    hAPP_f448129468l_bool: ( $i * $i ) > $i ).

tff(decl_65,type,
    hAPP_f1594865479ol_int: ( $i * $i ) > $i ).

tff(decl_66,type,
    hAPP_f54304608l_bool: ( $i * $i ) > $i ).

tff(decl_67,type,
    hAPP_f659380387ol_int: ( $i * $i ) > $i ).

tff(decl_68,type,
    hAPP_f1501066425l_bool: ( $i * $i ) > $i ).

tff(decl_69,type,
    hAPP_f215623910l_bool: ( $i * $i ) > $i ).

tff(decl_70,type,
    hAPP_f1469637905l_bool: ( $i * $i ) > $i ).

tff(decl_71,type,
    hAPP_f526364711l_bool: ( $i * $i ) > $i ).

tff(decl_72,type,
    hAPP_f115998247l_bool: ( $i * $i ) > $i ).

tff(decl_73,type,
    hAPP_P603027463t_bool: ( $i * $i ) > $i ).

tff(decl_74,type,
    hAPP_P1175774780nt_int: ( $i * $i ) > $i ).

tff(decl_75,type,
    hAPP_P1555980039t_bool: ( $i * $i ) > $i ).

tff(decl_76,type,
    hAPP_P1333854989l_bool: ( $i * $i ) > $i ).

tff(decl_77,type,
    hAPP_P880235623l_bool: ( $i * $i ) > $i ).

tff(decl_78,type,
    hAPP_P62333565t_bool: ( $i * $i ) > $i ).

tff(decl_79,type,
    hAPP_P1463840893t_bool: ( $i * $i ) > $i ).

tff(decl_80,type,
    m: $i ).

tff(decl_81,type,
    m1: $i ).

tff(decl_82,type,
    r: $i ).

tff(decl_83,type,
    s1: $i ).

tff(decl_84,type,
    s: $i ).

tff(decl_85,type,
    sa: $i ).

tff(decl_86,type,
    t: $i ).

tff(decl_87,type,
    v: $i ).

tff(decl_88,type,
    w: $i ).

tff(decl_89,type,
    x: $i ).

tff(decl_90,type,
    y: $i ).

tff(decl_91,type,
    ord_less_int: $i ).

tff(decl_92,type,
    hAPP_i1948725293t_bool: ( $i * $i ) > $i ).

tff(decl_93,type,
    plus_plus_int: $i ).

tff(decl_94,type,
    hAPP_int_fun_int_int: ( $i * $i ) > $i ).

tff(decl_95,type,
    semiri1621563631at_int: $i ).

tff(decl_96,type,
    n: $i ).

tff(decl_97,type,
    hBOOL: $i > $o ).

tff(decl_98,type,
    plus_plus_rat: $i ).

tff(decl_99,type,
    power_power_rat: $i ).

tff(decl_100,type,
    hAPP_rat_fun_nat_rat: ( $i * $i ) > $i ).

tff(decl_101,type,
    number_number_of_nat: $i ).

tff(decl_102,type,
    bit0: $i ).

tff(decl_103,type,
    bit1: $i ).

tff(decl_104,type,
    hAPP_int_nat: ( $i * $i ) > $i ).

tff(decl_105,type,
    hAPP_nat_rat: ( $i * $i ) > $i ).

tff(decl_106,type,
    hAPP_rat_fun_rat_rat: ( $i * $i ) > $i ).

tff(decl_107,type,
    hAPP_rat_rat: ( $i * $i ) > $i ).

tff(decl_108,type,
    zero_zero_rat: $i ).

tff(decl_109,type,
    plus_plus_real: $i ).

tff(decl_110,type,
    power_power_real: $i ).

tff(decl_111,type,
    hAPP_r474017924t_real: ( $i * $i ) > $i ).

tff(decl_112,type,
    hAPP_nat_real: ( $i * $i ) > $i ).

tff(decl_113,type,
    hAPP_r1250527377l_real: ( $i * $i ) > $i ).

tff(decl_114,type,
    hAPP_real_real: ( $i * $i ) > $i ).

tff(decl_115,type,
    zero_zero_real: $i ).

tff(decl_116,type,
    power_power_int: $i ).

tff(decl_117,type,
    hAPP_int_fun_nat_int: ( $i * $i ) > $i ).

tff(decl_118,type,
    one_one_rat: $i ).

tff(decl_119,type,
    power_881366806de_int: $i ).

tff(decl_120,type,
    one_on1684967323de_int: $i ).

tff(decl_121,type,
    hAPP_Q125967240de_int: ( $i * $i ) > $i ).

tff(decl_122,type,
    hAPP_n522471361de_int: ( $i * $i ) > $i ).

tff(decl_123,type,
    power_power_complex: $i ).

tff(decl_124,type,
    one_one_complex: $i ).

tff(decl_125,type,
    hAPP_c1088319240omplex: ( $i * $i ) > $i ).

tff(decl_126,type,
    hAPP_nat_complex: ( $i * $i ) > $i ).

tff(decl_127,type,
    power_2100829034umeral: $i ).

tff(decl_128,type,
    one_on1645066479umeral: $i ).

tff(decl_129,type,
    hAPP_C471253896umeral: ( $i * $i ) > $i ).

tff(decl_130,type,
    hAPP_n1108039445umeral: ( $i * $i ) > $i ).

tff(decl_131,type,
    one_one_real: $i ).

tff(decl_132,type,
    power_power_nat: $i ).

tff(decl_133,type,
    one_one_nat: $i ).

tff(decl_134,type,
    hAPP_nat_fun_nat_nat: ( $i * $i ) > $i ).

tff(decl_135,type,
    hAPP_nat_nat: ( $i * $i ) > $i ).

tff(decl_136,type,
    zero_z891286103de_int: $i ).

tff(decl_137,type,
    zero_zero_complex: $i ).

tff(decl_138,type,
    zero_z126310315umeral: $i ).

tff(decl_139,type,
    zero_zero_nat: $i ).

tff(decl_140,type,
    number_number_of_rat: $i ).

tff(decl_141,type,
    hAPP_int_rat: ( $i * $i ) > $i ).

tff(decl_142,type,
    plus_plus_complex: $i ).

tff(decl_143,type,
    hAPP_c172932010omplex: ( $i * $i ) > $i ).

tff(decl_144,type,
    number528085621omplex: $i ).

tff(decl_145,type,
    hAPP_int_complex: ( $i * $i ) > $i ).

tff(decl_146,type,
    hAPP_complex_complex: ( $i * $i ) > $i ).

tff(decl_147,type,
    number267125858f_real: $i ).

tff(decl_148,type,
    hAPP_int_real: ( $i * $i ) > $i ).

tff(decl_149,type,
    number_number_of_int: $i ).

tff(decl_150,type,
    plus_plus_nat: $i ).

tff(decl_151,type,
    ord_less_nat: $i ).

tff(decl_152,type,
    hAPP_n1699378549t_bool: ( $i * $i ) > $i ).

tff(decl_153,type,
    ord_less_rat: $i ).

tff(decl_154,type,
    hAPP_r2115560837t_bool: ( $i * $i ) > $i ).

tff(decl_155,type,
    ord_less_real: $i ).

tff(decl_156,type,
    hAPP_r1134773055l_bool: ( $i * $i ) > $i ).

tff(decl_157,type,
    number1226105091de_int: $i ).

tff(decl_158,type,
    hAPP_i1732201573de_int: ( $i * $i ) > $i ).

tff(decl_159,type,
    number1443263063umeral: $i ).

tff(decl_160,type,
    hAPP_i769753017umeral: ( $i * $i ) > $i ).

tff(decl_161,type,
    member308914164t_bool: $i ).

tff(decl_162,type,
    hAPP_P1681069257l_bool: ( $i * $i ) > $i ).

tff(decl_163,type,
    member2143287562nt_int: $i ).

tff(decl_164,type,
    hAPP_P1062890741l_bool: ( $i * $i ) > $i ).

tff(decl_165,type,
    member_real: $i ).

tff(decl_166,type,
    hAPP_r1130899993l_bool: ( $i * $i ) > $i ).

tff(decl_167,type,
    member_nat: $i ).

tff(decl_168,type,
    hAPP_n215258509l_bool: ( $i * $i ) > $i ).

tff(decl_169,type,
    member_fun_int_bool: $i ).

tff(decl_170,type,
    hAPP_f628503027l_bool: ( $i * $i ) > $i ).

tff(decl_171,type,
    member180897546at_nat: $i ).

tff(decl_172,type,
    hAPP_P1876494581l_bool: ( $i * $i ) > $i ).

tff(decl_173,type,
    member_int: $i ).

tff(decl_174,type,
    hAPP_i2112223885l_bool: ( $i * $i ) > $i ).

tff(decl_175,type,
    collec1979865426at_nat: $i > $i ).

tff(decl_176,type,
    collect_real: $i > $i ).

tff(decl_177,type,
    collec1347809874nt_int: $i > $i ).

tff(decl_178,type,
    collec50511176nt_int: $i > $i ).

tff(decl_179,type,
    collect_nat: $i > $i ).

tff(decl_180,type,
    collect_int: $i > $i ).

tff(decl_181,type,
    semiri151668891at_rat: $i ).

tff(decl_182,type,
    semiri2020571505omplex: $i ).

tff(decl_183,type,
    semiri132038758t_real: $i ).

tff(decl_184,type,
    semiri984289939at_nat: $i ).

tff(decl_185,type,
    ord_le1860547276de_int: $i ).

tff(decl_186,type,
    hAPP_Q1010094925t_bool: ( $i * $i ) > $i ).

tff(decl_187,type,
    semiri1424489471de_int: $i ).

tff(decl_188,type,
    ord_le1304079648umeral: $i ).

tff(decl_189,type,
    hAPP_C10902773l_bool: ( $i * $i ) > $i ).

tff(decl_190,type,
    semiri1619134803umeral: $i ).

tff(decl_191,type,
    plus_p1446045655de_int: $i ).

tff(decl_192,type,
    hAPP_Q1729056540de_int: ( $i * $i ) > $i ).

tff(decl_193,type,
    hAPP_Q1762011733de_int: ( $i * $i ) > $i ).

tff(decl_194,type,
    plus_p1627245867umeral: $i ).

tff(decl_195,type,
    hAPP_C1594335432umeral: ( $i * $i ) > $i ).

tff(decl_196,type,
    hAPP_C498520661umeral: ( $i * $i ) > $i ).

tff(decl_197,type,
    tn: $i ).

tff(decl_198,type,
    if_nat: $i ).

tff(decl_199,type,
    hAPP_b992065680at_nat: ( $i * $i ) > $i ).

tff(decl_200,type,
    ord_less_eq_int: $i ).

tff(decl_201,type,
    succ: $i ).

tff(decl_202,type,
    ord_less_eq_rat: $i ).

tff(decl_203,type,
    ord_less_eq_real: $i ).

tff(decl_204,type,
    ord_less_eq_nat: $i ).

tff(decl_205,type,
    ord_le258702272de_int: $i ).

tff(decl_206,type,
    ord_le565307924umeral: $i ).

tff(decl_207,type,
    ord_le951220754t_bool: $i ).

tff(decl_208,type,
    hAPP_f284875647l_bool: ( $i * $i ) > $i ).

tff(decl_209,type,
    ord_le1568362934t_bool: $i ).

tff(decl_210,type,
    hAPP_f103356543l_bool: ( $i * $i ) > $i ).

tff(decl_211,type,
    times_times_int: $i ).

tff(decl_212,type,
    times_times_rat: $i ).

tff(decl_213,type,
    times_123202395de_int: $i ).

tff(decl_214,type,
    times_times_complex: $i ).

tff(decl_215,type,
    times_times_real: $i ).

tff(decl_216,type,
    times_times_nat: $i ).

tff(decl_217,type,
    times_1655362735umeral: $i ).

tff(decl_218,type,
    ord_less_eq_bool: $i ).

tff(decl_219,type,
    hAPP_b589554111l_bool: ( $i * $i ) > $i ).

tff(decl_220,type,
    ord_le1912455174t_bool: $i ).

tff(decl_221,type,
    ord_le382113706t_bool: $i ).

tff(decl_222,type,
    twoSqu1770640450sum2sq: $i ).

tff(decl_223,type,
    zprime: $i ).

tff(decl_224,type,
    legendre: $i > $i ).

tff(decl_225,type,
    quadRes: $i ).

tff(decl_226,type,
    zcong: $i > $i ).

tff(decl_227,type,
    dvd_dvd_int: $i ).

tff(decl_228,type,
    minus_minus_int: $i ).

tff(decl_229,type,
    dvd_dvd_nat: $i ).

tff(decl_230,type,
    dvd_dvd_rat: $i ).

tff(decl_231,type,
    dvd_dv1760642554de_int: $i ).

tff(decl_232,type,
    dvd_dvd_complex: $i ).

tff(decl_233,type,
    hAPP_c1403687985x_bool: ( $i * $i ) > $i ).

tff(decl_234,type,
    dvd_dv174992974umeral: $i ).

tff(decl_235,type,
    dvd_dvd_real: $i ).

tff(decl_236,type,
    minus_minus_rat: $i ).

tff(decl_237,type,
    minus_minus_complex: $i ).

tff(decl_238,type,
    minus_minus_real: $i ).

tff(decl_239,type,
    minus_minus_nat: $i ).

tff(decl_240,type,
    nat: $i ).

tff(decl_241,type,
    abs_abs_int: $i ).

tff(decl_242,type,
    twoSqu1907779896sum2sq: $i ).

tff(decl_243,type,
    product_Pair_int_int: $i ).

tff(decl_244,type,
    hAPP_i1584592887nt_int: ( $i * $i ) > $i ).

tff(decl_245,type,
    hAPP_i1524277240nt_int: ( $i * $i ) > $i ).

tff(decl_246,type,
    if_int: $i ).

tff(decl_247,type,
    hAPP_b1463609396nt_int: ( $i * $i ) > $i ).

tff(decl_248,type,
    abs_abs_rat: $i ).

tff(decl_249,type,
    abs_abs_real: $i ).

tff(decl_250,type,
    nat_aux: $i > $i ).

tff(decl_251,type,
    zfact: $i ).

tff(decl_252,type,
    div_div_int: $i ).

tff(decl_253,type,
    inv: $i > $i ).

tff(decl_254,type,
    multInv: $i > $i ).

tff(decl_255,type,
    div_div_nat: $i ).

tff(decl_256,type,
    wset: $i > $i ).

tff(decl_257,type,
    d22set: $i ).

tff(decl_258,type,
    phi: $i > $i ).

tff(decl_259,type,
    zOdd: $i ).

tff(decl_260,type,
    sr: $i ).

tff(decl_261,type,
    cOMBS_int_bool_bool: $i ).

tff(decl_262,type,
    cOMBB_1652995168ol_int: $i ).

tff(decl_263,type,
    fconj: $i ).

tff(decl_264,type,
    hAPP_f1734373249l_bool: ( $i * $i ) > $i ).

tff(decl_265,type,
    hAPP_f2144054103l_bool: ( $i * $i ) > $i ).

tff(decl_266,type,
    hAPP_f727283836t_bool: ( $i * $i ) > $i ).

tff(decl_267,type,
    cOMBC_int_int_bool: $i ).

tff(decl_268,type,
    hAPP_f428220345t_bool: ( $i * $i ) > $i ).

tff(decl_269,type,
    hAPP_f1805168059t_bool: ( $i * $i ) > $i ).

tff(decl_270,type,
    div_mod_int: $i > $i ).

tff(decl_271,type,
    nat_tr876908586nt_nat: $i > $i ).

tff(decl_272,type,
    standardRes: $i > $i ).

tff(decl_273,type,
    nat_tsub: $i > $i ).

tff(decl_274,type,
    suc: $i ).

tff(decl_275,type,
    sRStar: $i ).

tff(decl_276,type,
    div_mod_nat: $i > $i ).

tff(decl_277,type,
    pdivmod: ( $i * $i ) > $i ).

tff(decl_278,type,
    divmod_int_rel: ( $i * $i ) > $i ).

tff(decl_279,type,
    nat_neg: $i ).

tff(decl_280,type,
    even_odd_even_int: $i ).

tff(decl_281,type,
    negDivAlg: ( $i * $i ) > $i ).

tff(decl_282,type,
    adjust: $i > $i ).

tff(decl_283,type,
    hAPP_P1975530577nt_int: ( $i * $i ) > $i ).

tff(decl_284,type,
    posDivAlg: ( $i * $i ) > $i ).

tff(decl_285,type,
    natceiling: $i > $i ).

tff(decl_286,type,
    negDivAlg_rel: $i ).

tff(decl_287,type,
    accp_P2006205492nt_int: $i > $i ).

tff(decl_288,type,
    natfloor: $i > $i ).

tff(decl_289,type,
    posDivAlg_rel: $i ).

tff(decl_290,type,
    finite_card_int: $i ).

tff(decl_291,type,
    hAPP_f957591787ol_nat: ( $i * $i ) > $i ).

tff(decl_292,type,
    multInvPair: ( $i * $i ) > $i ).

tff(decl_293,type,
    setS: ( $i * $i ) > $i ).

tff(decl_294,type,
    div_mo1740067990umeral: $i > $i ).

tff(decl_295,type,
    div_di1218280263umeral: $i ).

tff(decl_296,type,
    minus_1690775515umeral: $i ).

tff(decl_297,type,
    finite1876863882t_bool: $i ).

tff(decl_298,type,
    hAPP_f521865025ol_nat: ( $i * $i ) > $i ).

tff(decl_299,type,
    comple219730294t_bool: $i > $i ).

tff(decl_300,type,
    zEven: $i ).

tff(decl_301,type,
    ln: $i ).

tff(decl_302,type,
    inverse_divide_real: $i ).

tff(decl_303,type,
    code_nat_of_aux: $i > $i ).

tff(decl_304,type,
    exp_real: $i ).

tff(decl_305,type,
    uminus_uminus_real: $i ).

tff(decl_306,type,
    log: $i > $i ).

tff(decl_307,type,
    norm_norm_complex: $i ).

tff(decl_308,type,
    hAPP_complex_real: ( $i * $i ) > $i ).

tff(decl_309,type,
    norm_norm_real: $i ).

tff(decl_310,type,
    uminus_uminus_int: $i ).

tff(decl_311,type,
    uminus473333897omplex: $i ).

tff(decl_312,type,
    fequal_int: $i ).

tff(decl_313,type,
    sqrt: $i ).

tff(decl_314,type,
    arctan: $i ).

tff(decl_315,type,
    pi: $i ).

tff(decl_316,type,
    z3mod: $i > $i ).

tff(decl_317,type,
    z3div: $i > $i ).

tff(decl_318,type,
    arcsin: $i ).

tff(decl_319,type,
    sgn_sgn_real: $i ).

tff(decl_320,type,
    cos: $i ).

tff(decl_321,type,
    sin: $i ).

tff(decl_322,type,
    arccos: $i ).

tff(decl_323,type,
    sgn_sgn_int: $i ).

tff(decl_324,type,
    tan: $i ).

tff(decl_325,type,
    real_nat: $i ).

tff(decl_326,type,
    fact_fact_nat: $i ).

tff(decl_327,type,
    even_odd_even_nat: $i ).

tff(decl_328,type,
    if_real: $i ).

tff(decl_329,type,
    hAPP_b646336293l_real: ( $i * $i ) > $i ).

tff(decl_330,type,
    sin_coeff: $i ).

tff(decl_331,type,
    cos_coeff: $i ).

tff(decl_332,type,
    inverse_inverse_real: $i ).

tff(decl_333,type,
    deriv_real: ( $i * $i ) > $i ).

tff(decl_334,type,
    root: $i ).

tff(decl_335,type,
    hAPP_n546711566l_real: ( $i * $i ) > $i ).

tff(decl_336,type,
    finite_finite_int: $i ).

tff(decl_337,type,
    finite1395289673t_bool: $i ).

tff(decl_338,type,
    complex: $i ).

tff(decl_339,type,
    hAPP_r265291036omplex: ( $i * $i ) > $i ).

tff(decl_340,type,
    hAPP_real_complex: ( $i * $i ) > $i ).

tff(decl_341,type,
    invers1449016382omplex: $i ).

tff(decl_342,type,
    complex_size: $i > $i ).

tff(decl_343,type,
    arg: $i > $i ).

tff(decl_344,type,
    invers1025623611omplex: $i ).

tff(decl_345,type,
    size_size_complex: $i ).

tff(decl_346,type,
    hAPP_complex_nat: ( $i * $i ) > $i ).

tff(decl_347,type,
    ii: $i ).

tff(decl_348,type,
    of_real_complex: $i > $i ).

tff(decl_349,type,
    sgn_sgn_complex: $i ).

tff(decl_350,type,
    expi: $i > $i ).

tff(decl_351,type,
    coprime: $i ).

tff(decl_352,type,
    pred: $i ).

tff(decl_353,type,
    resSet: $i > $i ).

tff(decl_354,type,
    nat_size: $i ).

tff(decl_355,type,
    size_size_nat: $i ).

tff(decl_356,type,
    code_c271388182l_size: $i > $i ).

tff(decl_357,type,
    code_S1047413653umeral: $i > $i ).

tff(decl_358,type,
    cnj: $i ).

tff(decl_359,type,
    size_s945831648umeral: $i ).

tff(decl_360,type,
    hAPP_C2129356693al_nat: ( $i * $i ) > $i ).

tff(decl_361,type,
    im: $i ).

tff(decl_362,type,
    re: $i ).

tff(decl_363,type,
    cis: $i > $i ).

tff(decl_364,type,
    bezw: ( $i * $i ) > $i ).

tff(decl_365,type,
    prime: $i ).

tff(decl_366,type,
    divmod_int: ( $i * $i ) > $i ).

tff(decl_367,type,
    negateSnd: $i ).

tff(decl_368,type,
    code_d418564891umeral: ( $i * $i ) > $i ).

tff(decl_369,type,
    produc2136830103umeral: $i ).

tff(decl_370,type,
    hAPP_C1614127039umeral: ( $i * $i ) > $i ).

tff(decl_371,type,
    hAPP_C2132160860umeral: ( $i * $i ) > $i ).

tff(decl_372,type,
    xzgcd: ( $i * $i ) > $i ).

tff(decl_373,type,
    produc282740534nt_int: $i ).

tff(decl_374,type,
    hAPP_i1730167831nt_int: ( $i * $i ) > $i ).

tff(decl_375,type,
    hAPP_P408881810nt_int: ( $i * $i ) > $i ).

tff(decl_376,type,
    xzgcda: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_377,type,
    divmod_nat: ( $i * $i ) > $i ).

tff(decl_378,type,
    product_Pair_nat_nat: $i ).

tff(decl_379,type,
    hAPP_n1865633855at_nat: ( $i * $i ) > $i ).

tff(decl_380,type,
    hAPP_n1289843868at_nat: ( $i * $i ) > $i ).

tff(decl_381,type,
    divmod_nat_rel: ( $i * $i ) > $i ).

tff(decl_382,type,
    product_fst_int_int: $i ).

tff(decl_383,type,
    product_snd_int_int: $i ).

tff(decl_384,type,
    product_fst_nat_nat: $i ).

tff(decl_385,type,
    hAPP_P1654798560at_nat: ( $i * $i ) > $i ).

tff(decl_386,type,
    product_snd_nat_nat: $i ).

tff(decl_387,type,
    produc556554744l_real: $i ).

tff(decl_388,type,
    bolzano_bisect: ( $i * $i * $i ) > $i ).

tff(decl_389,type,
    hAPP_n332733730l_real: ( $i * $i ) > $i ).

tff(decl_390,type,
    hAPP_P731461727l_real: ( $i * $i ) > $i ).

tff(decl_391,type,
    produc1935615926l_real: $i ).

tff(decl_392,type,
    produc865579683l_real: $i ).

tff(decl_393,type,
    hAPP_r2019696015l_real: ( $i * $i ) > $i ).

tff(decl_394,type,
    hAPP_r1195171167l_real: ( $i * $i ) > $i ).

tff(decl_395,type,
    div_mo231679042de_int: $i > $i ).

tff(decl_396,type,
    div_di1430059507de_int: $i ).

tff(decl_397,type,
    rcis: ( $i * $i ) > $i ).

tff(decl_398,type,
    quickc495462417de_int: ( $i * $i ) > $i ).

tff(decl_399,type,
    produc1318306967de_int: $i ).

tff(decl_400,type,
    hAPP_Q952608535de_int: ( $i * $i ) > $i ).

tff(decl_401,type,
    hAPP_Q1256397320de_int: ( $i * $i ) > $i ).

tff(decl_402,type,
    quickcheck_nat_of: $i > $i ).

tff(decl_403,type,
    quickc1265749348ro_rel: $i ).

tff(decl_404,type,
    accp_int: $i > $i ).

tff(decl_405,type,
    fact_fact_int: $i ).

tff(decl_406,type,
    size_size_list_int: $i ).

tff(decl_407,type,
    quickc666637781d_zero: $i > $i ).

tff(decl_408,type,
    hAPP_list_int_nat: ( $i * $i ) > $i ).

tff(decl_409,type,
    bnorRset: $i > $i ).

tff(decl_410,type,
    gcd_gcd_nat: $i ).

tff(decl_411,type,
    real_int: $i ).

tff(decl_412,type,
    powr: $i ).

tff(decl_413,type,
    legacy_zgcd: $i > $i ).

tff(decl_414,type,
    produc494345619at_nat: $i ).

tff(decl_415,type,
    hAPP_P402336767at_nat: ( $i * $i ) > $i ).

tff(decl_416,type,
    hAPP_P369611207at_nat: ( $i * $i ) > $i ).

tff(decl_417,type,
    pair_less: $i ).

tff(decl_418,type,
    pair_leq: $i ).

tff(decl_419,type,
    dist_dist_real: $i > $i ).

tff(decl_420,type,
    dist_dist_complex: $i > $i ).

tff(decl_421,type,
    fact: $i ).

tff(decl_422,type,
    quickcheck_of_int: $i ).

tff(decl_423,type,
    minus_534354567de_int: $i ).

tff(decl_424,type,
    norm_frac_rel: $i ).

tff(decl_425,type,
    upto_rel: $i ).

tff(decl_426,type,
    lazy_small_lazy_rel: $i ).

tff(decl_427,type,
    norRRset: $i ).

tff(decl_428,type,
    ring_1_of_int_real: $i ).

tff(decl_429,type,
    ring_1_of_int_int: $i ).

tff(decl_430,type,
    ring_11397209091omplex: $i ).

tff(decl_431,type,
    noXRRset: $i > $i ).

tff(decl_432,type,
    is_RRset: $i > $i ).

tff(decl_433,type,
    rRset2norRR: ( $i * $i ) > $i ).

tff(decl_434,type,
    rsetR: $i > $i ).

tff(decl_435,type,
    image_int_int: ( $i * $i ) > $i ).

tff(decl_436,type,
    finite_finite_nat: $i ).

tff(decl_437,type,
    image_nat_int: ( $i * $i ) > $i ).

tff(decl_438,type,
    finite_card_nat: $i ).

tff(decl_439,type,
    hAPP_f22106695ol_nat: ( $i * $i ) > $i ).

tff(decl_440,type,
    image_int_nat: ( $i * $i ) > $i ).

tff(decl_441,type,
    image_275383677t_bool: ( $i * $i ) > $i ).

tff(decl_442,type,
    nat_nat_set: $i ).

tff(decl_443,type,
    ord_gr1297742076an_int: $i > $i ).

tff(decl_444,type,
    field_1210416355s_real: $i ).

tff(decl_445,type,
    int_lcm: $i > $i ).

tff(decl_446,type,
    nat_lcm: $i > $i ).

tff(decl_447,type,
    ord_gr660468384an_nat: $i > $i ).

tff(decl_448,type,
    ord_gr788844697n_real: $i > $i ).

tff(decl_449,type,
    iszero_rat: $i ).

tff(decl_450,type,
    iszero_int: $i ).

tff(decl_451,type,
    comple124823625p_real: $i > $i ).

tff(decl_452,type,
    frct: $i > $i ).

tff(decl_453,type,
    inverse_divide_rat: $i ).

tff(decl_454,type,
    sgn_sgn_rat: $i ).

tff(decl_455,type,
    uminus_uminus_rat: $i ).

tff(decl_456,type,
    inverse_inverse_rat: $i ).

tff(decl_457,type,
    quotient_of: $i > $i ).

tff(decl_458,type,
    nat_gcd: $i > $i ).

tff(decl_459,type,
    normalize: $i > $i ).

tff(decl_460,type,
    nat_gcd_rel: $i ).

tff(decl_461,type,
    accp_P490777396at_nat: $i > $i ).

tff(decl_462,type,
    int_gcd: $i ).

tff(decl_463,type,
    produc883642259nt_int: $i ).

tff(decl_464,type,
    hAPP_P941956607nt_int: ( $i * $i ) > $i ).

tff(decl_465,type,
    hAPP_P230595783nt_int: ( $i * $i ) > $i ).

tff(decl_466,type,
    ratrel: $i ).

tff(decl_467,type,
    fract: $i ).

tff(decl_468,type,
    hAPP_int_fun_int_rat: ( $i * $i ) > $i ).

tff(decl_469,type,
    ratreal: $i > $i ).

tff(decl_470,type,
    ring_1_of_int_rat: $i ).

tff(decl_471,type,
    ring_1_Ints_real: $i ).

tff(decl_472,type,
    if_Pro1731782967nt_int: $i ).

tff(decl_473,type,
    hAPP_b40753821nt_int: ( $i * $i ) > $i ).

tff(decl_474,type,
    hAPP_P1145851913nt_int: ( $i * $i ) > $i ).

tff(decl_475,type,
    cOMBS_real_real_real: $i ).

tff(decl_476,type,
    cOMBB_882763271l_real: $i ).

tff(decl_477,type,
    hAPP_f1960414057l_real: ( $i * $i ) > $i ).

tff(decl_478,type,
    cOMBC_real_nat_real: $i ).

tff(decl_479,type,
    cOMBB_599996122l_real: $i ).

tff(decl_480,type,
    hAPP_f1796904975t_real: ( $i * $i ) > $i ).

tff(decl_481,type,
    cOMBB_real_real_real: $i ).

tff(decl_482,type,
    hAPP_f1992866895l_real: ( $i * $i ) > $i ).

tff(decl_483,type,
    hAPP_f1950183573l_real: ( $i * $i ) > $i ).

tff(decl_484,type,
    hAPP_f556082547l_real: ( $i * $i ) > $i ).

tff(decl_485,type,
    hAPP_f2069516469l_real: ( $i * $i ) > $i ).

tff(decl_486,type,
    hAPP_f1407095736t_real: ( $i * $i ) > $i ).

tff(decl_487,type,
    hAPP_f248847589l_real: ( $i * $i ) > $i ).

tff(decl_488,type,
    cOMBC_nat_nat_bool: $i ).

tff(decl_489,type,
    hAPP_f229349961t_bool: ( $i * $i ) > $i ).

tff(decl_490,type,
    cOMBC_real_real_real: $i ).

tff(decl_491,type,
    hAPP_f203520653l_real: ( $i * $i ) > $i ).

tff(decl_492,type,
    cOMBB_nat_bool_int: $i ).

tff(decl_493,type,
    hAPP_f696844121t_bool: ( $i * $i ) > $i ).

tff(decl_494,type,
    hAPP_f1448486952t_bool: ( $i * $i ) > $i ).

tff(decl_495,type,
    cOMBB_722610049al_nat: $i ).

tff(decl_496,type,
    hAPP_f327026105t_real: ( $i * $i ) > $i ).

tff(decl_497,type,
    hAPP_f1290670424t_real: ( $i * $i ) > $i ).

tff(decl_498,type,
    cOMBB_117013006ex_nat: $i ).

tff(decl_499,type,
    hAPP_f1457396693omplex: ( $i * $i ) > $i ).

tff(decl_500,type,
    hAPP_f1646117269omplex: ( $i * $i ) > $i ).

tff(decl_501,type,
    cOMBS_nat_bool_bool: $i ).

tff(decl_502,type,
    cOMBB_1015721476ol_nat: $i ).

tff(decl_503,type,
    hAPP_f1080886329l_bool: ( $i * $i ) > $i ).

tff(decl_504,type,
    hAPP_f1146629647l_bool: ( $i * $i ) > $i ).

tff(decl_505,type,
    hAPP_f561022312t_bool: ( $i * $i ) > $i ).

tff(decl_506,type,
    hAPP_f800510211t_bool: ( $i * $i ) > $i ).

tff(decl_507,type,
    cOMBC_226598744l_bool: $i ).

tff(decl_508,type,
    cOMBB_1146692694ol_nat: $i ).

tff(decl_509,type,
    hAPP_f2037783381l_bool: ( $i * $i ) > $i ).

tff(decl_510,type,
    hAPP_f66927821l_bool: ( $i * $i ) > $i ).

tff(decl_511,type,
    hAPP_f1722879237t_bool: ( $i * $i ) > $i ).

tff(decl_512,type,
    nat_tr160667106at_int: $i > $i ).

tff(decl_513,type,
    cOMBK_bool_nat: $i > $i ).

tff(decl_514,type,
    cOMBB_int_bool_nat: $i ).

tff(decl_515,type,
    hAPP_f1361476881t_bool: ( $i * $i ) > $i ).

tff(decl_516,type,
    hAPP_f1154658180t_bool: ( $i * $i ) > $i ).

tff(decl_517,type,
    cOMBC_int_int_int: $i ).

tff(decl_518,type,
    hAPP_f2135977429nt_int: ( $i * $i ) > $i ).

tff(decl_519,type,
    norm_frac: ( $i * $i ) > $i ).

tff(decl_520,type,
    cOMBS_nat_real_real: $i ).

tff(decl_521,type,
    cOMBB_1308947378al_nat: $i ).

tff(decl_522,type,
    hAPP_f1092742621l_real: ( $i * $i ) > $i ).

tff(decl_523,type,
    cOMBB_real_real_nat: $i ).

tff(decl_524,type,
    hAPP_f1690286043t_real: ( $i * $i ) > $i ).

tff(decl_525,type,
    cOMBB_nat_real_nat: $i ).

tff(decl_526,type,
    hAPP_f1566856189t_real: ( $i * $i ) > $i ).

tff(decl_527,type,
    cOMBC_nat_nat_nat: $i ).

tff(decl_528,type,
    cOMBB_963856155at_nat: $i ).

tff(decl_529,type,
    hAPP_f1731313045at_nat: ( $i * $i ) > $i ).

tff(decl_530,type,
    hAPP_f416620757at_nat: ( $i * $i ) > $i ).

tff(decl_531,type,
    hAPP_f1639111240at_nat: ( $i * $i ) > $i ).

tff(decl_532,type,
    hAPP_f1676298106t_real: ( $i * $i ) > $i ).

tff(decl_533,type,
    hAPP_f1888375463t_real: ( $i * $i ) > $i ).

tff(decl_534,type,
    hAPP_f451358433l_real: ( $i * $i ) > $i ).

tff(decl_535,type,
    hAPP_f197615720t_real: ( $i * $i ) > $i ).

tff(decl_536,type,
    cOMBS_real_bool_bool: $i ).

tff(decl_537,type,
    cOMBB_624415285l_real: $i ).

tff(decl_538,type,
    hAPP_f1485493409l_bool: ( $i * $i ) > $i ).

tff(decl_539,type,
    cOMBB_real_bool_real: $i ).

tff(decl_540,type,
    fequal_real: $i ).

tff(decl_541,type,
    hAPP_f824790735l_bool: ( $i * $i ) > $i ).

tff(decl_542,type,
    hAPP_f1402056515l_bool: ( $i * $i ) > $i ).

tff(decl_543,type,
    hAPP_f60716669l_bool: ( $i * $i ) > $i ).

tff(decl_544,type,
    hAPP_f1010710745l_bool: ( $i * $i ) > $i ).

tff(decl_545,type,
    cOMBC_real_real_bool: $i ).

tff(decl_546,type,
    hAPP_f695504873l_bool: ( $i * $i ) > $i ).

tff(decl_547,type,
    hAPP_f1861673493l_bool: ( $i * $i ) > $i ).

tff(decl_548,type,
    hilbert_Eps_real: $i > $i ).

tff(decl_549,type,
    cOMBI_int: $i ).

tff(decl_550,type,
    suminf_real: $i ).

tff(decl_551,type,
    hAPP_f352196356l_real: ( $i * $i ) > $i ).

tff(decl_552,type,
    cOMBB_1896127834l_real: $i ).

tff(decl_553,type,
    hAPP_f1786887945l_real: ( $i * $i ) > $i ).

tff(decl_554,type,
    cOMBB_1948233853l_real: $i ).

tff(decl_555,type,
    hAPP_f895854793t_real: ( $i * $i ) > $i ).

tff(decl_556,type,
    cOMBC_1329014627t_real: $i ).

tff(decl_557,type,
    cOMBB_421464275l_real: $i ).

tff(decl_558,type,
    hAPP_f1998755145t_real: ( $i * $i ) > $i ).

tff(decl_559,type,
    hAPP_f1163894827t_real: ( $i * $i ) > $i ).

tff(decl_560,type,
    hAPP_f1135648319t_real: ( $i * $i ) > $i ).

tff(decl_561,type,
    hAPP_f1501741374t_real: ( $i * $i ) > $i ).

tff(decl_562,type,
    hAPP_f1993765077t_real: ( $i * $i ) > $i ).

tff(decl_563,type,
    hAPP_f1122023986l_real: ( $i * $i ) > $i ).

tff(decl_564,type,
    cOMBB_nat_nat_nat: $i ).

tff(decl_565,type,
    hAPP_f1585078997at_nat: ( $i * $i ) > $i ).

tff(decl_566,type,
    hAPP_f1914919701at_nat: ( $i * $i ) > $i ).

tff(decl_567,type,
    cOMBC_nat_real_real: $i ).

tff(decl_568,type,
    hAPP_f42270917t_real: ( $i * $i ) > $i ).

tff(decl_569,type,
    produc1298267108nt_int: $i > $i ).

tff(decl_570,type,
    cOMBB_782625832nt_int: $i ).

tff(decl_571,type,
    hAPP_f2054677283nt_int: ( $i * $i ) > $i ).

tff(decl_572,type,
    hAPP_f1574055885nt_int: ( $i * $i ) > $i ).

tff(decl_573,type,
    produc1518849193nt_int: $i > $i ).

tff(decl_574,type,
    cOMBC_1683390479t_bool: $i ).

tff(decl_575,type,
    cOMBB_389152643ol_int: $i ).

tff(decl_576,type,
    hAPP_f85237525t_bool: ( $i * $i ) > $i ).

tff(decl_577,type,
    cOMBB_793166024ol_int: $i ).

tff(decl_578,type,
    hAPP_f1830214065l_bool: ( $i * $i ) > $i ).

tff(decl_579,type,
    cOMBB_1290694363ol_int: $i ).

tff(decl_580,type,
    cOMBB_int_bool_int: $i ).

tff(decl_581,type,
    hAPP_f1512942609t_bool: ( $i * $i ) > $i ).

tff(decl_582,type,
    hAPP_f908327869t_bool: ( $i * $i ) > $i ).

tff(decl_583,type,
    cOMBB_1496585939nt_int: $i ).

tff(decl_584,type,
    hAPP_f1629352853nt_int: ( $i * $i ) > $i ).

tff(decl_585,type,
    hAPP_f1760145644nt_int: ( $i * $i ) > $i ).

tff(decl_586,type,
    hAPP_f720654810t_bool: ( $i * $i ) > $i ).

tff(decl_587,type,
    hAPP_f1344929775l_bool: ( $i * $i ) > $i ).

tff(decl_588,type,
    hAPP_f1545556668t_bool: ( $i * $i ) > $i ).

tff(decl_589,type,
    hAPP_f472159229t_bool: ( $i * $i ) > $i ).

tff(decl_590,type,
    cOMBB_bool_bool_int: $i ).

tff(decl_591,type,
    fimplies: $i > $i ).

tff(decl_592,type,
    hAPP_f627970963t_bool: ( $i * $i ) > $i ).

tff(decl_593,type,
    fNot: $i ).

tff(decl_594,type,
    hAPP_f1048215610t_bool: ( $i * $i ) > $i ).

tff(decl_595,type,
    produc93441119t_bool: $i > $i ).

tff(decl_596,type,
    cOMBC_736024425nt_int: $i ).

tff(decl_597,type,
    cOMBB_1875755114nt_int: $i ).

tff(decl_598,type,
    cOMBB_int_int_int: $i ).

tff(decl_599,type,
    hAPP_f888249301nt_int: ( $i * $i ) > $i ).

tff(decl_600,type,
    cOMBC_int_nat_int: $i ).

tff(decl_601,type,
    hAPP_f2105620693nt_int: ( $i * $i ) > $i ).

tff(decl_602,type,
    hAPP_nat_fun_int_int: ( $i * $i ) > $i ).

tff(decl_603,type,
    hAPP_f836602773nt_int: ( $i * $i ) > $i ).

tff(decl_604,type,
    hAPP_f808647893nt_int: ( $i * $i ) > $i ).

tff(decl_605,type,
    cOMBS_1470252563nt_int: $i ).

tff(decl_606,type,
    cOMBB_735549356nt_int: $i ).

tff(decl_607,type,
    cOMBB_1389251822nt_int: $i ).

tff(decl_608,type,
    hAPP_f1731308757nt_int: ( $i * $i ) > $i ).

tff(decl_609,type,
    cOMBC_707974837nt_int: $i ).

tff(decl_610,type,
    cOMBB_662120866nt_int: $i ).

tff(decl_611,type,
    hAPP_f279307923nt_int: ( $i * $i ) > $i ).

tff(decl_612,type,
    hAPP_f251264923nt_int: ( $i * $i ) > $i ).

tff(decl_613,type,
    hAPP_f1582586579nt_int: ( $i * $i ) > $i ).

tff(decl_614,type,
    hAPP_P621635040nt_int: ( $i * $i ) > $i ).

tff(decl_615,type,
    hAPP_f400200275nt_int: ( $i * $i ) > $i ).

tff(decl_616,type,
    hAPP_f1081447804nt_int: ( $i * $i ) > $i ).

tff(decl_617,type,
    cOMBS_2011279539nt_int: $i ).

tff(decl_618,type,
    cOMBB_1657320178nt_int: $i ).

tff(decl_619,type,
    cOMBC_1964283556nt_int: $i ).

tff(decl_620,type,
    hAPP_f534361363nt_int: ( $i * $i ) > $i ).

tff(decl_621,type,
    cOMBB_1102189010nt_int: $i ).

tff(decl_622,type,
    hAPP_f1228585167nt_int: ( $i * $i ) > $i ).

tff(decl_623,type,
    hAPP_f2004554147nt_int: ( $i * $i ) > $i ).

tff(decl_624,type,
    hAPP_f2094497995nt_int: ( $i * $i ) > $i ).

tff(decl_625,type,
    hAPP_f434654626nt_int: ( $i * $i ) > $i ).

tff(decl_626,type,
    hAPP_f465821005nt_int: ( $i * $i ) > $i ).

tff(decl_627,type,
    cOMBB_638531587nt_int: $i ).

tff(decl_628,type,
    cOMBS_1891347093nt_int: $i ).

tff(decl_629,type,
    hAPP_f197974549nt_int: ( $i * $i ) > $i ).

tff(decl_630,type,
    cOMBB_222539774nt_int: $i ).

tff(decl_631,type,
    cOMBS_1640193733nt_int: $i ).

tff(decl_632,type,
    hAPP_f429935748t_bool: ( $i * $i ) > $i ).

tff(decl_633,type,
    hAPP_f1311564564nt_int: ( $i * $i ) > $i ).

tff(decl_634,type,
    hAPP_f747475781nt_int: ( $i * $i ) > $i ).

tff(decl_635,type,
    cOMBC_1805044090nt_int: $i ).

tff(decl_636,type,
    cOMBB_320287386nt_int: $i ).

tff(decl_637,type,
    cOMBB_1846624359nt_int: $i ).

tff(decl_638,type,
    hAPP_f1377453843nt_int: ( $i * $i ) > $i ).

tff(decl_639,type,
    hAPP_f142232355nt_int: ( $i * $i ) > $i ).

tff(decl_640,type,
    hAPP_f960630521nt_int: ( $i * $i ) > $i ).

tff(decl_641,type,
    hAPP_f55007289nt_int: ( $i * $i ) > $i ).

tff(decl_642,type,
    hAPP_f617310012nt_int: ( $i * $i ) > $i ).

tff(decl_643,type,
    frac: $i ).

tff(decl_644,type,
    cOMBB_591320580ol_int: $i ).

tff(decl_645,type,
    hAPP_f654702867t_bool: ( $i * $i ) > $i ).

tff(decl_646,type,
    cOMBC_241247961t_bool: $i ).

tff(decl_647,type,
    cOMBB_562416518ol_int: $i ).

tff(decl_648,type,
    hAPP_f847817363t_bool: ( $i * $i ) > $i ).

tff(decl_649,type,
    cOMBB_550562460ol_int: $i ).

tff(decl_650,type,
    cOMBB_118231410ol_int: $i ).

tff(decl_651,type,
    hAPP_f1399575567t_bool: ( $i * $i ) > $i ).

tff(decl_652,type,
    hAPP_f983569339t_bool: ( $i * $i ) > $i ).

tff(decl_653,type,
    hAPP_f725770969t_bool: ( $i * $i ) > $i ).

tff(decl_654,type,
    hAPP_f791698359t_bool: ( $i * $i ) > $i ).

tff(decl_655,type,
    hAPP_i345030060t_bool: ( $i * $i ) > $i ).

tff(decl_656,type,
    suminf_complex: $i ).

tff(decl_657,type,
    hAPP_f213450978omplex: ( $i * $i ) > $i ).

tff(decl_658,type,
    cOMBS_1610675060t_bool: $i ).

tff(decl_659,type,
    cOMBB_595786433nt_int: $i ).

tff(decl_660,type,
    cOMBB_1344650379nt_int: $i ).

tff(decl_661,type,
    hAPP_f1273270095t_bool: ( $i * $i ) > $i ).

tff(decl_662,type,
    cOMBB_1550063917nt_int: $i ).

tff(decl_663,type,
    hAPP_f1961001761l_bool: ( $i * $i ) > $i ).

tff(decl_664,type,
    hAPP_f513299955t_bool: ( $i * $i ) > $i ).

tff(decl_665,type,
    cOMBC_33652895t_bool: $i ).

tff(decl_666,type,
    cOMBB_182850971nt_int: $i ).

tff(decl_667,type,
    hAPP_f214467655t_bool: ( $i * $i ) > $i ).

tff(decl_668,type,
    hAPP_f291087797t_bool: ( $i * $i ) > $i ).

tff(decl_669,type,
    hAPP_f2018027565t_bool: ( $i * $i ) > $i ).

tff(decl_670,type,
    hAPP_i119638232t_bool: ( $i * $i ) > $i ).

tff(decl_671,type,
    hAPP_f237669397t_bool: ( $i * $i ) > $i ).

tff(decl_672,type,
    hAPP_f365317245l_bool: ( $i * $i ) > $i ).

tff(decl_673,type,
    hAPP_f1965248563t_bool: ( $i * $i ) > $i ).

tff(decl_674,type,
    hAPP_f125837377t_bool: ( $i * $i ) > $i ).

tff(decl_675,type,
    cOMBB_2086486755nt_int: $i ).

tff(decl_676,type,
    cOMBS_400904860l_bool: $i ).

tff(decl_677,type,
    hAPP_f461489489t_bool: ( $i * $i ) > $i ).

tff(decl_678,type,
    hAPP_f326728547t_bool: ( $i * $i ) > $i ).

tff(decl_679,type,
    cOMBS_1676841879t_bool: $i ).

tff(decl_680,type,
    cOMBB_650041899nt_int: $i ).

tff(decl_681,type,
    cOMBS_480885903t_bool: $i ).

tff(decl_682,type,
    hAPP_f1815301987t_bool: ( $i * $i ) > $i ).

tff(decl_683,type,
    cOMBB_773384995nt_int: $i ).

tff(decl_684,type,
    hAPP_f2042071795t_bool: ( $i * $i ) > $i ).

tff(decl_685,type,
    cOMBC_2037038898nt_int: $i ).

tff(decl_686,type,
    cOMBB_563965291nt_int: $i ).

tff(decl_687,type,
    cOMBB_47643171nt_int: $i ).

tff(decl_688,type,
    hAPP_f1151807883nt_int: ( $i * $i ) > $i ).

tff(decl_689,type,
    cOMBB_1506897658nt_int: $i ).

tff(decl_690,type,
    hAPP_f1038672605nt_int: ( $i * $i ) > $i ).

tff(decl_691,type,
    hAPP_f1855025978nt_int: ( $i * $i ) > $i ).

tff(decl_692,type,
    hAPP_f301246617nt_int: ( $i * $i ) > $i ).

tff(decl_693,type,
    hAPP_f1769710159nt_int: ( $i * $i ) > $i ).

tff(decl_694,type,
    hAPP_f167782601nt_int: ( $i * $i ) > $i ).

tff(decl_695,type,
    hAPP_f1198736473t_bool: ( $i * $i ) > $i ).

tff(decl_696,type,
    hAPP_f223623489t_bool: ( $i * $i ) > $i ).

tff(decl_697,type,
    hAPP_f11709033t_bool: ( $i * $i ) > $i ).

tff(decl_698,type,
    cOMBB_866192175nt_int: $i ).

tff(decl_699,type,
    cOMBC_1417754532nt_int: $i ).

tff(decl_700,type,
    hAPP_f578362681nt_int: ( $i * $i ) > $i ).

tff(decl_701,type,
    hAPP_f400538607nt_int: ( $i * $i ) > $i ).

tff(decl_702,type,
    hAPP_f1187443546t_bool: ( $i * $i ) > $i ).

tff(decl_703,type,
    hAPP_f1781059817t_bool: ( $i * $i ) > $i ).

tff(decl_704,type,
    produc973645403t_bool: $i > $i ).

tff(decl_705,type,
    cOMBB_348438404at_nat: $i ).

tff(decl_706,type,
    hAPP_f999082675at_nat: ( $i * $i ) > $i ).

tff(decl_707,type,
    hAPP_f837737749at_nat: ( $i * $i ) > $i ).

tff(decl_708,type,
    produc1391996073at_nat: $i > $i ).

tff(decl_709,type,
    hAPP_P1586233937at_nat: ( $i * $i ) > $i ).

tff(decl_710,type,
    cOMBS_163651580l_real: $i ).

tff(decl_711,type,
    cOMBB_3698607l_real: $i ).

tff(decl_712,type,
    cOMBS_902912708l_real: $i ).

tff(decl_713,type,
    hAPP_f774948957l_real: ( $i * $i ) > $i ).

tff(decl_714,type,
    cOMBS_107495110l_real: $i ).

tff(decl_715,type,
    cOMBB_520243667l_real: $i ).

tff(decl_716,type,
    cOMBS_794971624l_real: $i ).

tff(decl_717,type,
    hAPP_f328572565l_real: ( $i * $i ) > $i ).

tff(decl_718,type,
    cOMBB_731595089l_real: $i ).

tff(decl_719,type,
    cOMBB_415306361l_real: $i ).

tff(decl_720,type,
    if_Pro313124157l_real: $i ).

tff(decl_721,type,
    hAPP_f1076489843l_real: ( $i * $i ) > $i ).

tff(decl_722,type,
    hAPP_f1879982819l_real: ( $i * $i ) > $i ).

tff(decl_723,type,
    cOMBB_421479067l_real: $i ).

tff(decl_724,type,
    cOMBB_1795223523l_real: $i ).

tff(decl_725,type,
    hAPP_f940061907l_bool: ( $i * $i ) > $i ).

tff(decl_726,type,
    hAPP_f172451459l_bool: ( $i * $i ) > $i ).

tff(decl_727,type,
    cOMBS_193881978l_real: $i ).

tff(decl_728,type,
    cOMBB_422423973l_real: $i ).

tff(decl_729,type,
    cOMBB_2107848501l_real: $i ).

tff(decl_730,type,
    hAPP_f555557763l_real: ( $i * $i ) > $i ).

tff(decl_731,type,
    hAPP_f1119546819l_real: ( $i * $i ) > $i ).

tff(decl_732,type,
    hAPP_f850851693l_real: ( $i * $i ) > $i ).

tff(decl_733,type,
    cOMBC_1508019322l_real: $i ).

tff(decl_734,type,
    cOMBB_1768400739l_real: $i ).

tff(decl_735,type,
    hAPP_f1874145443l_real: ( $i * $i ) > $i ).

tff(decl_736,type,
    cOMBB_2092576745l_real: $i ).

tff(decl_737,type,
    hAPP_f1310479593l_real: ( $i * $i ) > $i ).

tff(decl_738,type,
    hAPP_f1732848529l_real: ( $i * $i ) > $i ).

tff(decl_739,type,
    hAPP_f1644353557l_real: ( $i * $i ) > $i ).

tff(decl_740,type,
    hAPP_r337325687l_real: ( $i * $i ) > $i ).

tff(decl_741,type,
    hAPP_f320596107l_real: ( $i * $i ) > $i ).

tff(decl_742,type,
    hAPP_f1884005689l_bool: ( $i * $i ) > $i ).

tff(decl_743,type,
    hAPP_f517738447l_real: ( $i * $i ) > $i ).

tff(decl_744,type,
    hAPP_f1161935955l_real: ( $i * $i ) > $i ).

tff(decl_745,type,
    hAPP_f677014621l_real: ( $i * $i ) > $i ).

tff(decl_746,type,
    cOMBC_467724138l_real: $i ).

tff(decl_747,type,
    cOMBB_44084907l_real: $i ).

tff(decl_748,type,
    cOMBS_511527878l_real: $i ).

tff(decl_749,type,
    hAPP_f1109256153l_real: ( $i * $i ) > $i ).

tff(decl_750,type,
    cOMBB_557258983l_real: $i ).

tff(decl_751,type,
    cOMBB_237479429l_real: $i ).

tff(decl_752,type,
    hAPP_f2114902373l_real: ( $i * $i ) > $i ).

tff(decl_753,type,
    hAPP_f1040184293l_real: ( $i * $i ) > $i ).

tff(decl_754,type,
    hAPP_f823702159l_real: ( $i * $i ) > $i ).

tff(decl_755,type,
    hAPP_f1108539711l_real: ( $i * $i ) > $i ).

tff(decl_756,type,
    hAPP_f644105375l_real: ( $i * $i ) > $i ).

tff(decl_757,type,
    cOMBI_real: $i ).

tff(decl_758,type,
    hAPP_f1591894897l_real: ( $i * $i ) > $i ).

tff(decl_759,type,
    hAPP_f324002831l_real: ( $i * $i ) > $i ).

tff(decl_760,type,
    hAPP_f1663701695l_real: ( $i * $i ) > $i ).

tff(decl_761,type,
    hAPP_f1763467369l_real: ( $i * $i ) > $i ).

tff(decl_762,type,
    hAPP_f2072293513l_real: ( $i * $i ) > $i ).

tff(decl_763,type,
    produc595218619l_real: $i > $i ).

tff(decl_764,type,
    hAPP_P1860904029l_real: ( $i * $i ) > $i ).

tff(decl_765,type,
    produc713050258nt_int: $i > $i ).

tff(decl_766,type,
    cOMBB_1484610687nt_int: $i ).

tff(decl_767,type,
    hAPP_f334321603nt_int: ( $i * $i ) > $i ).

tff(decl_768,type,
    hAPP_f1148171384nt_int: ( $i * $i ) > $i ).

tff(decl_769,type,
    int_ge_less_than2: $i > $i ).

tff(decl_770,type,
    int_ge_less_than: $i > $i ).

tff(decl_771,type,
    cOMBS_1720984575t_bool: $i ).

tff(decl_772,type,
    cOMBB_1211207212ol_int: $i ).

tff(decl_773,type,
    hAPP_f538565589t_bool: ( $i * $i ) > $i ).

tff(decl_774,type,
    hAPP_f1315737299t_bool: ( $i * $i ) > $i ).

tff(decl_775,type,
    hAPP_f1878066172t_bool: ( $i * $i ) > $i ).

tff(decl_776,type,
    sums_real: $i > $i ).

tff(decl_777,type,
    cOMBC_746811033l_real: $i ).

tff(decl_778,type,
    cOMBB_1480366270al_nat: $i ).

tff(decl_779,type,
    hAPP_f264196187l_real: ( $i * $i ) > $i ).

tff(decl_780,type,
    hAPP_f1129044203l_real: ( $i * $i ) > $i ).

tff(decl_781,type,
    hAPP_f2126667875l_real: ( $i * $i ) > $i ).

tff(decl_782,type,
    hAPP_r195310020l_real: ( $i * $i ) > $i ).

tff(decl_783,type,
    cOMBS_337378985l_real: $i ).

tff(decl_784,type,
    hAPP_f335634176l_real: ( $i * $i ) > $i ).

tff(decl_785,type,
    sums_complex: $i > $i ).

tff(decl_786,type,
    diffs_real: $i > $i ).

tff(decl_787,type,
    nat_case_bool: ( $i * $i ) > $i ).

tff(decl_788,type,
    cOMBI_nat: $i ).

tff(decl_789,type,
    nat_case_nat: ( $i * $i ) > $i ).

tff(decl_790,type,
    cOMBB_430461877l_real: $i ).

tff(decl_791,type,
    hAPP_f1900646853l_bool: ( $i * $i ) > $i ).

tff(decl_792,type,
    hAPP_f1393328161l_bool: ( $i * $i ) > $i ).

tff(decl_793,type,
    the_real: $i > $i ).

tff(decl_794,type,
    the_Pr588456374at_nat: $i > $i ).

tff(decl_795,type,
    cOMBC_int_real_bool: $i ).

tff(decl_796,type,
    cOMBB_1317819104ol_int: $i ).

tff(decl_797,type,
    hAPP_f499530369l_bool: ( $i * $i ) > $i ).

tff(decl_798,type,
    hAPP_f801032407l_bool: ( $i * $i ) > $i ).

tff(decl_799,type,
    hAPP_f1845081853t_bool: ( $i * $i ) > $i ).

tff(decl_800,type,
    hAPP_r481142414t_bool: ( $i * $i ) > $i ).

tff(decl_801,type,
    cOMBB_real_bool_int: $i ).

tff(decl_802,type,
    hAPP_f1173902867t_bool: ( $i * $i ) > $i ).

tff(decl_803,type,
    cOMBB_int_real_int: $i ).

tff(decl_804,type,
    hAPP_f134192053t_real: ( $i * $i ) > $i ).

tff(decl_805,type,
    hAPP_f563293398t_real: ( $i * $i ) > $i ).

tff(decl_806,type,
    hAPP_f429384717t_bool: ( $i * $i ) > $i ).

tff(decl_807,type,
    cOMBC_int_rat_bool: $i ).

tff(decl_808,type,
    cOMBB_214503962ol_int: $i ).

tff(decl_809,type,
    hAPP_f857296063t_bool: ( $i * $i ) > $i ).

tff(decl_810,type,
    hAPP_f601898971t_bool: ( $i * $i ) > $i ).

tff(decl_811,type,
    hAPP_f1480506641t_bool: ( $i * $i ) > $i ).

tff(decl_812,type,
    hAPP_r1900510169t_bool: ( $i * $i ) > $i ).

tff(decl_813,type,
    cOMBB_rat_bool_int: $i ).

tff(decl_814,type,
    hAPP_f1131424617t_bool: ( $i * $i ) > $i ).

tff(decl_815,type,
    cOMBB_int_rat_int: $i ).

tff(decl_816,type,
    hAPP_f1270196437nt_rat: ( $i * $i ) > $i ).

tff(decl_817,type,
    hAPP_f1900950721nt_rat: ( $i * $i ) > $i ).

tff(decl_818,type,
    hAPP_f1241350704t_bool: ( $i * $i ) > $i ).

tff(decl_819,type,
    cOMBC_94739984l_bool: $i ).

tff(decl_820,type,
    hAPP_f202917053t_bool: ( $i * $i ) > $i ).

tff(decl_821,type,
    big_co604158596t_real: $i ).

tff(decl_822,type,
    hAPP_f1509287679l_real: ( $i * $i ) > $i ).

tff(decl_823,type,
    ord_at4362885an_nat: $i > $i ).

tff(decl_824,type,
    hAPP_f1406902706l_real: ( $i * $i ) > $i ).

tff(decl_825,type,
    cOMBB_800536526ol_nat: $i ).

tff(decl_826,type,
    hAPP_f1505651103t_bool: ( $i * $i ) > $i ).

tff(decl_827,type,
    hAPP_f618557131t_bool: ( $i * $i ) > $i ).

tff(decl_828,type,
    image_nat_nat: ( $i * $i ) > $i ).

tff(decl_829,type,
    ord_at641636577an_int: $i > $i ).

tff(decl_830,type,
    ord_at1496968948n_real: $i > $i ).

tff(decl_831,type,
    cOMBC_2010481033l_real: $i ).

tff(decl_832,type,
    cOMBB_1934313333l_real: $i ).

tff(decl_833,type,
    hAPP_f1067681227l_real: ( $i * $i ) > $i ).

tff(decl_834,type,
    cOMBB_1419615765al_nat: $i ).

tff(decl_835,type,
    hAPP_f224989205l_real: ( $i * $i ) > $i ).

tff(decl_836,type,
    hAPP_f1904307534l_real: ( $i * $i ) > $i ).

tff(decl_837,type,
    hAPP_f1523861863l_real: ( $i * $i ) > $i ).

tff(decl_838,type,
    hAPP_f59594445l_real: ( $i * $i ) > $i ).

tff(decl_839,type,
    hAPP_f2119584768l_real: ( $i * $i ) > $i ).

tff(decl_840,type,
    big_co230513141nt_int: $i ).

tff(decl_841,type,
    hAPP_f1926459811ol_int: ( $i * $i ) > $i ).

tff(decl_842,type,
    big_co1024481617at_int: $i ).

tff(decl_843,type,
    cOMBB_int_int_nat: $i ).

tff(decl_844,type,
    hAPP_f1431025877at_int: ( $i * $i ) > $i ).

tff(decl_845,type,
    cOMBC_nat_int_int: $i ).

tff(decl_846,type,
    cOMBB_859312247nt_nat: $i ).

tff(decl_847,type,
    hAPP_f125788821nt_int: ( $i * $i ) > $i ).

tff(decl_848,type,
    hAPP_f1935805932nt_int: ( $i * $i ) > $i ).

tff(decl_849,type,
    hAPP_f1673103573at_int: ( $i * $i ) > $i ).

tff(decl_850,type,
    hAPP_f1139079189at_int: ( $i * $i ) > $i ).

tff(decl_851,type,
    hAPP_f1599440987ol_int: ( $i * $i ) > $i ).

tff(decl_852,type,
    ord_lessThan_nat: $i ).

tff(decl_853,type,
    big_co387207925at_nat: $i ).

tff(decl_854,type,
    hAPP_f782000547ol_nat: ( $i * $i ) > $i ).

tff(decl_855,type,
    cOMBS_nat_nat_nat: $i ).

tff(decl_856,type,
    hAPP_f1408247010at_nat: ( $i * $i ) > $i ).

tff(decl_857,type,
    ord_lessThan_real: $i ).

tff(decl_858,type,
    gcd_gcd_int: $i ).

tff(decl_859,type,
    cOMBB_569260360nt_int: $i ).

tff(decl_860,type,
    fequal_rat: $i ).

tff(decl_861,type,
    hAPP_f374502857t_bool: ( $i * $i ) > $i ).

tff(decl_862,type,
    cOMBS_549334880nt_rat: $i ).

tff(decl_863,type,
    cOMBB_170828966nt_int: $i ).

tff(decl_864,type,
    hAPP_f382317021nt_rat: ( $i * $i ) > $i ).

tff(decl_865,type,
    hAPP_f1547007718nt_rat: ( $i * $i ) > $i ).

tff(decl_866,type,
    hAPP_f1120137083nt_rat: ( $i * $i ) > $i ).

tff(decl_867,type,
    hAPP_f1065357839nt_rat: ( $i * $i ) > $i ).

tff(decl_868,type,
    hAPP_f1084724746t_bool: ( $i * $i ) > $i ).

tff(decl_869,type,
    cOMBB_798864284nt_int: $i ).

tff(decl_870,type,
    hAPP_f492612297t_bool: ( $i * $i ) > $i ).

tff(decl_871,type,
    hAPP_f892584630t_bool: ( $i * $i ) > $i ).

tff(decl_872,type,
    cOMBS_2019229620nt_int: $i ).

tff(decl_873,type,
    hAPP_f1914742907nt_int: ( $i * $i ) > $i ).

tff(decl_874,type,
    hAPP_f521271395nt_int: ( $i * $i ) > $i ).

tff(decl_875,type,
    the_Pr2103884470nt_int: $i > $i ).

tff(decl_876,type,
    big_co1758102091ol_nat: $i ).

tff(decl_877,type,
    hAPP_f93439879ol_nat: ( $i * $i ) > $i ).

tff(decl_878,type,
    cOMBK_1643584600t_bool: $i > $i ).

tff(decl_879,type,
    cOMBB_1418110531ol_int: $i ).

tff(decl_880,type,
    fEx_int: $i ).

tff(decl_881,type,
    hAPP_f423804115t_bool: ( $i * $i ) > $i ).

tff(decl_882,type,
    cOMBC_983868720t_bool: $i ).

tff(decl_883,type,
    cOMBB_2027861294ol_int: $i ).

tff(decl_884,type,
    hAPP_f1475822739t_bool: ( $i * $i ) > $i ).

tff(decl_885,type,
    hAPP_f1251097615t_bool: ( $i * $i ) > $i ).

tff(decl_886,type,
    hAPP_f735247205t_bool: ( $i * $i ) > $i ).

tff(decl_887,type,
    hAPP_f1791153283t_bool: ( $i * $i ) > $i ).

tff(decl_888,type,
    hAPP_f2119767738t_bool: ( $i * $i ) > $i ).

tff(decl_889,type,
    cOMBB_1121934354l_real: $i ).

tff(decl_890,type,
    hAPP_f1925507189l_bool: ( $i * $i ) > $i ).

tff(decl_891,type,
    cOMBB_1453147152l_real: $i ).

tff(decl_892,type,
    hAPP_f340152631t_bool: ( $i * $i ) > $i ).

tff(decl_893,type,
    cOMBC_412863505t_bool: $i ).

tff(decl_894,type,
    cOMBB_690122963l_real: $i ).

tff(decl_895,type,
    hAPP_f1456711209t_bool: ( $i * $i ) > $i ).

tff(decl_896,type,
    cOMBB_2138578194l_real: $i ).

tff(decl_897,type,
    hAPP_f2050994651t_bool: ( $i * $i ) > $i ).

tff(decl_898,type,
    cOMBB_188663909l_real: $i ).

tff(decl_899,type,
    hAPP_f512004221l_bool: ( $i * $i ) > $i ).

tff(decl_900,type,
    cOMBC_243356514t_bool: $i ).

tff(decl_901,type,
    cOMBB_1459832681l_real: $i ).

tff(decl_902,type,
    cOMBB_95956018ol_int: $i ).

tff(decl_903,type,
    hAPP_f1177545951t_bool: ( $i * $i ) > $i ).

tff(decl_904,type,
    cOMBB_1247074793l_real: $i ).

tff(decl_905,type,
    hAPP_f866672739t_bool: ( $i * $i ) > $i ).

tff(decl_906,type,
    hAPP_f1920544743t_bool: ( $i * $i ) > $i ).

tff(decl_907,type,
    hAPP_f332806115t_bool: ( $i * $i ) > $i ).

tff(decl_908,type,
    hAPP_f422375781t_bool: ( $i * $i ) > $i ).

tff(decl_909,type,
    cOMBC_824100275t_real: $i ).

tff(decl_910,type,
    cOMBB_2129825580al_int: $i ).

tff(decl_911,type,
    cOMBB_real_real_int: $i ).

tff(decl_912,type,
    hAPP_f1169087445t_real: ( $i * $i ) > $i ).

tff(decl_913,type,
    cOMBB_1946221070al_int: $i ).

tff(decl_914,type,
    hAPP_f318350629l_real: ( $i * $i ) > $i ).

tff(decl_915,type,
    hAPP_f1352333353l_real: ( $i * $i ) > $i ).

tff(decl_916,type,
    hAPP_f74147283t_real: ( $i * $i ) > $i ).

tff(decl_917,type,
    hAPP_f352226557t_real: ( $i * $i ) > $i ).

tff(decl_918,type,
    hAPP_f1323932638t_real: ( $i * $i ) > $i ).

tff(decl_919,type,
    hAPP_f956464319t_bool: ( $i * $i ) > $i ).

tff(decl_920,type,
    hAPP_f381769257l_bool: ( $i * $i ) > $i ).

tff(decl_921,type,
    hAPP_f1063001928t_bool: ( $i * $i ) > $i ).

tff(decl_922,type,
    hAPP_f704188951t_bool: ( $i * $i ) > $i ).

tff(decl_923,type,
    hAPP_f1990636069t_bool: ( $i * $i ) > $i ).

tff(decl_924,type,
    hAPP_f1832844496t_bool: ( $i * $i ) > $i ).

tff(decl_925,type,
    hAPP_f1625314454t_bool: ( $i * $i ) > $i ).

tff(decl_926,type,
    hAPP_f101635158l_bool: ( $i * $i ) > $i ).

tff(decl_927,type,
    sequentially: $i ).

tff(decl_928,type,
    cOMBB_1533963633al_nat: $i ).

tff(decl_929,type,
    hAPP_f1607377819t_real: ( $i * $i ) > $i ).

tff(decl_930,type,
    hAPP_f292751352t_real: ( $i * $i ) > $i ).

tff(decl_931,type,
    cOMBB_1159313332l_real: $i ).

tff(decl_932,type,
    cOMBB_1593174431ol_int: $i ).

tff(decl_933,type,
    fEx_nat: $i ).

tff(decl_934,type,
    hAPP_f389116883t_bool: ( $i * $i ) > $i ).

tff(decl_935,type,
    hAPP_f571820015t_bool: ( $i * $i ) > $i ).

tff(decl_936,type,
    cOMBC_1801450329t_bool: $i ).

tff(decl_937,type,
    cOMBB_172850899l_real: $i ).

tff(decl_938,type,
    cOMBC_678732631t_bool: $i ).

tff(decl_939,type,
    hAPP_f1261108921t_bool: ( $i * $i ) > $i ).

tff(decl_940,type,
    cOMBB_2125215742l_real: $i ).

tff(decl_941,type,
    cOMBB_2087181719ol_int: $i ).

tff(decl_942,type,
    hAPP_f1182713365t_bool: ( $i * $i ) > $i ).

tff(decl_943,type,
    hAPP_f1121609875t_bool: ( $i * $i ) > $i ).

tff(decl_944,type,
    cOMBB_270132509l_real: $i ).

tff(decl_945,type,
    cOMBB_2046938128ol_int: $i ).

tff(decl_946,type,
    hAPP_f643658017l_bool: ( $i * $i ) > $i ).

tff(decl_947,type,
    hAPP_f848516149l_bool: ( $i * $i ) > $i ).

tff(decl_948,type,
    cOMBC_1113900202t_bool: $i ).

tff(decl_949,type,
    cOMBB_984071017l_real: $i ).

tff(decl_950,type,
    cOMBB_1647910634ol_int: $i ).

tff(decl_951,type,
    hAPP_f403082607t_bool: ( $i * $i ) > $i ).

tff(decl_952,type,
    cOMBB_2050079537l_real: $i ).

tff(decl_953,type,
    cOMBB_real_bool_nat: $i ).

tff(decl_954,type,
    hAPP_f1083049571t_bool: ( $i * $i ) > $i ).

tff(decl_955,type,
    hAPP_f1840085295t_bool: ( $i * $i ) > $i ).

tff(decl_956,type,
    hAPP_f77155443t_bool: ( $i * $i ) > $i ).

tff(decl_957,type,
    hAPP_f693283245t_bool: ( $i * $i ) > $i ).

tff(decl_958,type,
    cOMBC_295337211t_real: $i ).

tff(decl_959,type,
    cOMBB_929094628al_int: $i ).

tff(decl_960,type,
    hAPP_f212164053t_real: ( $i * $i ) > $i ).

tff(decl_961,type,
    hAPP_f1295083291t_real: ( $i * $i ) > $i ).

tff(decl_962,type,
    hAPP_f1720068861t_real: ( $i * $i ) > $i ).

tff(decl_963,type,
    hAPP_f1613846310t_real: ( $i * $i ) > $i ).

tff(decl_964,type,
    hAPP_f1459420095t_bool: ( $i * $i ) > $i ).

tff(decl_965,type,
    hAPP_f834119977l_bool: ( $i * $i ) > $i ).

tff(decl_966,type,
    hAPP_f2084827628t_bool: ( $i * $i ) > $i ).

tff(decl_967,type,
    hAPP_f1927674023t_bool: ( $i * $i ) > $i ).

tff(decl_968,type,
    hAPP_f271976045t_bool: ( $i * $i ) > $i ).

tff(decl_969,type,
    cOMBB_bool_bool_nat: $i ).

tff(decl_970,type,
    hAPP_f894608603t_bool: ( $i * $i ) > $i ).

tff(decl_971,type,
    fequal_nat: $i ).

tff(decl_972,type,
    hAPP_f1115375056t_bool: ( $i * $i ) > $i ).

tff(decl_973,type,
    hAPP_f1341793266t_bool: ( $i * $i ) > $i ).

tff(decl_974,type,
    cOMBS_696648398omplex: $i ).

tff(decl_975,type,
    cOMBB_1714920583ex_nat: $i ).

tff(decl_976,type,
    hAPP_f406530075omplex: ( $i * $i ) > $i ).

tff(decl_977,type,
    hAPP_f23851874omplex: ( $i * $i ) > $i ).

tff(decl_978,type,
    hAPP_f1052840010omplex: ( $i * $i ) > $i ).

tff(decl_979,type,
    hAPP_f219720582omplex: ( $i * $i ) > $i ).

tff(decl_980,type,
    cOMBB_64450052al_nat: $i ).

tff(decl_981,type,
    hAPP_f918606171t_real: ( $i * $i ) > $i ).

tff(decl_982,type,
    hAPP_f73570213t_real: ( $i * $i ) > $i ).

tff(decl_983,type,
    ord_at1589558736t_real: $i > $i ).

tff(decl_984,type,
    ord_at238088361st_nat: $i > $i ).

tff(decl_985,type,
    ord_at875362053st_int: $i > $i ).

tff(decl_986,type,
    big_co1705425894at_nat: ( $i * $i ) > $i ).

tff(decl_987,type,
    at_complex: $i > $i ).

tff(decl_988,type,
    at_real: $i > $i ).

tff(decl_989,type,
    scaleR1652505878omplex: $i > $i ).

tff(decl_990,type,
    scaleR_scaleR_real: $i > $i ).

tff(decl_991,type,
    pred_nat: $i ).

tff(decl_992,type,
    produc1922581855t_bool: $i > $i ).

tff(decl_993,type,
    ord_min_nat: $i ).

tff(decl_994,type,
    cOMBS_nat_rat_rat: $i ).

tff(decl_995,type,
    cOMBB_1926947at_nat: $i ).

tff(decl_996,type,
    hAPP_f1073644437at_rat: ( $i * $i ) > $i ).

tff(decl_997,type,
    hAPP_f1830834240at_rat: ( $i * $i ) > $i ).

tff(decl_998,type,
    hAPP_f1131305186at_rat: ( $i * $i ) > $i ).

tff(decl_999,type,
    hAPP_f2062659861at_rat: ( $i * $i ) > $i ).

tff(decl_1000,type,
    nat_is_nat: $i ).

tff(decl_1001,type,
    cOMBB_rat_rat_nat: $i ).

tff(decl_1002,type,
    hAPP_f1082758869at_rat: ( $i * $i ) > $i ).

tff(decl_1003,type,
    cOMBK_rat_nat: $i > $i ).

tff(decl_1004,type,
    zcongm: $i > $i ).

tff(decl_1005,type,
    produc713279741t_bool: $i ).

tff(decl_1006,type,
    hAPP_f1418982953t_bool: ( $i * $i ) > $i ).

tff(decl_1007,type,
    hAPP_f538843494t_bool: ( $i * $i ) > $i ).

tff(decl_1008,type,
    bijR_int_int: $i > $i ).

tff(decl_1009,type,
    isCont_real_real: $i > $i ).

tff(decl_1010,type,
    isCont156215680omplex: $i > $i ).

tff(decl_1011,type,
    isCont_complex_real: $i > $i ).

tff(decl_1012,type,
    ord_atMost_nat: $i ).

tff(decl_1013,type,
    ord_max_nat: $i ).

tff(decl_1014,type,
    ord_atMost_real: $i ).

tff(decl_1015,type,
    hAPP_f747162069nt_int: ( $i * $i ) > $i ).

tff(decl_1016,type,
    hAPP_f1356864277nt_int: ( $i * $i ) > $i ).

tff(decl_1017,type,
    hAPP_nat_fun_rat_rat: ( $i * $i ) > $i ).

tff(decl_1018,type,
    hAPP_b1482221219l_real: ( $i * $i ) > $i ).

tff(decl_1019,type,
    hAPP_P1982799375l_real: ( $i * $i ) > $i ).

tff(decl_1020,type,
    hAPP_i16292313t_bool: ( $i * $i ) > $i ).

tff(decl_1021,type,
    hAPP_i68813070l_bool: ( $i * $i ) > $i ).

tff(decl_1022,type,
    hAPP_n1006566506l_bool: ( $i * $i ) > $i ).

tff(decl_1023,type,
    hAPP_f605995867t_bool: ( $i * $i ) > $i ).

tff(decl_1024,type,
    hAPP_f737665877t_bool: ( $i * $i ) > $i ).

tff(decl_1025,type,
    hAPP_i688218208l_bool: ( $i * $i ) > $i ).

tff(decl_1026,type,
    hAPP_r1938957037l_bool: ( $i * $i ) > $i ).

tff(decl_1027,type,
    hAPP_f766218899t_real: ( $i * $i ) > $i ).

tff(decl_1028,type,
    hAPP_f269654879t_real: ( $i * $i ) > $i ).

tff(decl_1029,type,
    hAPP_n1983812447omplex: ( $i * $i ) > $i ).

tff(decl_1030,type,
    hAPP_f11151005nt_int: ( $i * $i ) > $i ).

tff(decl_1031,type,
    hAPP_f2002277285nt_int: ( $i * $i ) > $i ).

tff(decl_1032,type,
    hAPP_f883232462nt_int: ( $i * $i ) > $i ).

tff(decl_1033,type,
    hAPP_i61245889nt_int: ( $i * $i ) > $i ).

tff(decl_1034,type,
    hAPP_P2110489235nt_int: ( $i * $i ) > $i ).

tff(decl_1035,type,
    hAPP_P1853363688nt_rat: ( $i * $i ) > $i ).

tff(decl_1036,type,
    hAPP_P507092031nt_rat: ( $i * $i ) > $i ).

tff(decl_1037,type,
    hAPP_f41603166t_bool: ( $i * $i ) > $i ).

tff(decl_1038,type,
    hAPP_i418383825t_bool: ( $i * $i ) > $i ).

tff(decl_1039,type,
    hAPP_P252494982t_bool: ( $i * $i ) > $i ).

tff(decl_1040,type,
    hAPP_f1325804733t_bool: ( $i * $i ) > $i ).

tff(decl_1041,type,
    hAPP_P921862901l_bool: ( $i * $i ) > $i ).

tff(decl_1042,type,
    hAPP_r1409264866l_real: ( $i * $i ) > $i ).

tff(decl_1043,type,
    hAPP_i371647666l_real: ( $i * $i ) > $i ).

tff(decl_1044,type,
    hAPP_n682674106l_real: ( $i * $i ) > $i ).

tff(decl_1045,type,
    hAPP_f330985925l_bool: ( $i * $i ) > $i ).

tff(decl_1046,type,
    hAPP_f800361423l_real: ( $i * $i ) > $i ).

tff(decl_1047,type,
    hAPP_f617735571l_real: ( $i * $i ) > $i ).

tff(decl_1048,type,
    hAPP_f1730463541l_real: ( $i * $i ) > $i ).

tff(decl_1049,type,
    hAPP_i744251628nt_int: ( $i * $i ) > $i ).

tff(decl_1050,type,
    hAPP_i872162435t_bool: ( $i * $i ) > $i ).

tff(decl_1051,type,
    hAPP_i1778081398nt_int: ( $i * $i ) > $i ).

tff(decl_1052,type,
    hAPP_f151095827nt_int: ( $i * $i ) > $i ).

tff(decl_1053,type,
    hAPP_f1735705551nt_int: ( $i * $i ) > $i ).

tff(decl_1054,type,
    hAPP_i1529485324t_bool: ( $i * $i ) > $i ).

tff(decl_1055,type,
    hAPP_f729588221t_bool: ( $i * $i ) > $i ).

tff(decl_1056,type,
    hAPP_f289318786t_bool: ( $i * $i ) > $i ).

tff(decl_1057,type,
    hAPP_i1796122964t_bool: ( $i * $i ) > $i ).

tff(decl_1058,type,
    hAPP_f713949180nt_int: ( $i * $i ) > $i ).

tff(decl_1059,type,
    hAPP_i1216375074nt_int: ( $i * $i ) > $i ).

tff(decl_1060,type,
    hAPP_f1576199059t_bool: ( $i * $i ) > $i ).

tff(decl_1061,type,
    hAPP_f351634443t_bool: ( $i * $i ) > $i ).

tff(decl_1062,type,
    hAPP_i627165055t_real: ( $i * $i ) > $i ).

tff(decl_1063,type,
    hAPP_f743790483t_bool: ( $i * $i ) > $i ).

tff(decl_1064,type,
    hAPP_f1222178131t_bool: ( $i * $i ) > $i ).

tff(decl_1065,type,
    hAPP_i157317923t_real: ( $i * $i ) > $i ).

tff(decl_1066,type,
    hAPP_i1671359920t_real: ( $i * $i ) > $i ).

tff(decl_1067,type,
    hAPP_i447943416t_real: ( $i * $i ) > $i ).

tff(decl_1068,type,
    hAPP_r50993370t_real: ( $i * $i ) > $i ).

tff(decl_1069,type,
    hAPP_i998473677nt_int: ( $i * $i ) > $i ).

tff(decl_1070,type,
    hAPP_f1908301369l_real: ( $i * $i ) > $i ).

tff(decl_1071,type,
    hAPP_f1736103445l_real: ( $i * $i ) > $i ).

tff(decl_1072,type,
    hAPP_r938550413l_real: ( $i * $i ) > $i ).

tff(decl_1073,type,
    hAPP_P1668131738nt_int: ( $i * $i ) > $i ).

tff(decl_1074,type,
    hAPP_i1823918693l_bool: ( $i * $i ) > $i ).

tff(decl_1075,type,
    hAPP_f252743847l_bool: ( $i * $i ) > $i ).

tff(decl_1076,type,
    hAPP_i614188481l_bool: ( $i * $i ) > $i ).

tff(decl_1077,type,
    hAPP_r632163725t_bool: ( $i * $i ) > $i ).

tff(decl_1078,type,
    hAPP_r373117745t_bool: ( $i * $i ) > $i ).

tff(decl_1079,type,
    hAPP_r1623423338t_bool: ( $i * $i ) > $i ).

tff(decl_1080,type,
    hAPP_r653725362t_bool: ( $i * $i ) > $i ).

tff(decl_1081,type,
    hAPP_i1836591008nt_int: ( $i * $i ) > $i ).

tff(decl_1082,type,
    hAPP_i2104874254nt_int: ( $i * $i ) > $i ).

tff(decl_1083,type,
    hAPP_f1375227553nt_int: ( $i * $i ) > $i ).

tff(decl_1084,type,
    hAPP_r712953929l_real: ( $i * $i ) > $i ).

tff(decl_1085,type,
    hAPP_r1392521531t_bool: ( $i * $i ) > $i ).

tff(decl_1086,type,
    hAPP_r2052264067t_bool: ( $i * $i ) > $i ).

tff(decl_1087,type,
    hAPP_r847664445t_bool: ( $i * $i ) > $i ).

tff(decl_1088,type,
    hAPP_r279757445t_bool: ( $i * $i ) > $i ).

tff(decl_1089,type,
    hAPP_i1153444985nt_int: ( $i * $i ) > $i ).

tff(decl_1090,type,
    hAPP_P752050971nt_int: ( $i * $i ) > $i ).

tff(decl_1091,type,
    hAPP_f1902329768t_bool: ( $i * $i ) > $i ).

tff(decl_1092,type,
    hAPP_P989584703t_bool: ( $i * $i ) > $i ).

tff(decl_1093,type,
    hAPP_P1400155668t_bool: ( $i * $i ) > $i ).

tff(decl_1094,type,
    hAPP_P877703507t_bool: ( $i * $i ) > $i ).

tff(decl_1095,type,
    hAPP_r1150855451l_bool: ( $i * $i ) > $i ).

tff(decl_1096,type,
    hAPP_r285062775l_bool: ( $i * $i ) > $i ).

tff(decl_1097,type,
    hAPP_r579619957l_real: ( $i * $i ) > $i ).

tff(decl_1098,type,
    hAPP_r224952523l_real: ( $i * $i ) > $i ).

tff(decl_1099,type,
    hAPP_f183342685l_real: ( $i * $i ) > $i ).

tff(decl_1100,type,
    hAPP_f1293550189l_real: ( $i * $i ) > $i ).

tff(decl_1101,type,
    hAPP_r931665397l_real: ( $i * $i ) > $i ).

tff(decl_1102,type,
    hAPP_P2053772734t_bool: ( $i * $i ) > $i ).

tff(decl_1103,type,
    hAPP_f1607917947l_real: ( $i * $i ) > $i ).

tff(decl_1104,type,
    hAPP_r1962736578t_bool: ( $i * $i ) > $i ).

tff(decl_1105,type,
    hAPP_r1562208522t_bool: ( $i * $i ) > $i ).

tff(decl_1106,type,
    hAPP_r1230691443l_real: ( $i * $i ) > $i ).

tff(decl_1107,type,
    hAPP_r1043989325l_real: ( $i * $i ) > $i ).

tff(decl_1108,type,
    hAPP_r794344869l_real: ( $i * $i ) > $i ).

tff(decl_1109,type,
    epred1_3: ( $i * $i * $i ) > $o ).

tff(decl_1110,type,
    epred2_3: ( $i * $i * $i ) > $o ).

tff(decl_1111,type,
    esk1_3: ( $i * $i * $i ) > $i ).

tff(decl_1112,type,
    esk2_3: ( $i * $i * $i ) > $i ).

tff(decl_1113,type,
    esk3_3: ( $i * $i * $i ) > $i ).

tff(decl_1114,type,
    esk4_0: $i ).

tff(decl_1115,type,
    esk5_0: $i ).

tff(decl_1116,type,
    esk6_1: $i > $i ).

tff(decl_1117,type,
    esk7_1: $i > $i ).

tff(decl_1118,type,
    esk8_1: $i > $i ).

tff(decl_1119,type,
    esk9_1: $i > $i ).

tff(decl_1120,type,
    esk10_1: $i > $i ).

tff(decl_1121,type,
    esk11_2: ( $i * $i ) > $i ).

tff(decl_1122,type,
    esk12_1: $i > $i ).

tff(decl_1123,type,
    esk13_1: $i > $i ).

tff(decl_1124,type,
    esk14_1: $i > $i ).

tff(decl_1125,type,
    esk15_2: ( $i * $i ) > $i ).

tff(decl_1126,type,
    esk16_2: ( $i * $i ) > $i ).

tff(decl_1127,type,
    esk17_1: $i > $i ).

tff(decl_1128,type,
    esk18_1: $i > $i ).

tff(decl_1129,type,
    esk19_2: ( $i * $i ) > $i ).

tff(decl_1130,type,
    esk20_3: ( $i * $i * $i ) > $i ).

tff(decl_1131,type,
    esk21_3: ( $i * $i * $i ) > $i ).

tff(decl_1132,type,
    esk22_2: ( $i * $i ) > $i ).

tff(decl_1133,type,
    esk23_2: ( $i * $i ) > $i ).

tff(decl_1134,type,
    esk24_2: ( $i * $i ) > $i ).

tff(decl_1135,type,
    esk25_3: ( $i * $i * $i ) > $i ).

tff(decl_1136,type,
    esk26_3: ( $i * $i * $i ) > $i ).

tff(decl_1137,type,
    esk27_2: ( $i * $i ) > $i ).

tff(decl_1138,type,
    esk28_2: ( $i * $i ) > $i ).

tff(decl_1139,type,
    esk29_2: ( $i * $i ) > $i ).

tff(decl_1140,type,
    esk30_3: ( $i * $i * $i ) > $i ).

tff(decl_1141,type,
    esk31_2: ( $i * $i ) > $i ).

tff(decl_1142,type,
    esk32_1: $i > $i ).

tff(decl_1143,type,
    esk33_1: $i > $i ).

tff(decl_1144,type,
    esk34_3: ( $i * $i * $i ) > $i ).

tff(decl_1145,type,
    esk35_2: ( $i * $i ) > $i ).

tff(decl_1146,type,
    esk36_2: ( $i * $i ) > $i ).

tff(decl_1147,type,
    esk37_1: $i > $i ).

tff(decl_1148,type,
    esk38_2: ( $i * $i ) > $i ).

tff(decl_1149,type,
    esk39_1: $i > $i ).

tff(decl_1150,type,
    esk40_2: ( $i * $i ) > $i ).

tff(decl_1151,type,
    esk41_2: ( $i * $i ) > $i ).

tff(decl_1152,type,
    esk42_1: $i > $i ).

tff(decl_1153,type,
    esk43_1: $i > $i ).

tff(decl_1154,type,
    esk44_2: ( $i * $i ) > $i ).

tff(decl_1155,type,
    esk45_1: $i > $i ).

tff(decl_1156,type,
    esk46_1: $i > $i ).

tff(decl_1157,type,
    esk47_1: $i > $i ).

tff(decl_1158,type,
    esk48_1: $i > $i ).

tff(decl_1159,type,
    esk49_1: $i > $i ).

tff(decl_1160,type,
    esk50_3: ( $i * $i * $i ) > $i ).

tff(decl_1161,type,
    esk51_3: ( $i * $i * $i ) > $i ).

tff(decl_1162,type,
    esk52_3: ( $i * $i * $i ) > $i ).

tff(decl_1163,type,
    esk53_2: ( $i * $i ) > $i ).

tff(decl_1164,type,
    esk54_3: ( $i * $i * $i ) > $i ).

tff(decl_1165,type,
    esk55_3: ( $i * $i * $i ) > $i ).

tff(decl_1166,type,
    esk56_3: ( $i * $i * $i ) > $i ).

tff(decl_1167,type,
    esk57_3: ( $i * $i * $i ) > $i ).

tff(decl_1168,type,
    esk58_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1169,type,
    esk59_3: ( $i * $i * $i ) > $i ).

tff(decl_1170,type,
    esk60_3: ( $i * $i * $i ) > $i ).

tff(decl_1171,type,
    esk61_3: ( $i * $i * $i ) > $i ).

tff(decl_1172,type,
    esk62_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1173,type,
    esk63_3: ( $i * $i * $i ) > $i ).

tff(decl_1174,type,
    esk64_3: ( $i * $i * $i ) > $i ).

tff(decl_1175,type,
    esk65_3: ( $i * $i * $i ) > $i ).

tff(decl_1176,type,
    esk66_3: ( $i * $i * $i ) > $i ).

tff(decl_1177,type,
    esk67_1: $i > $i ).

tff(decl_1178,type,
    esk68_1: $i > $i ).

tff(decl_1179,type,
    esk69_1: $i > $i ).

tff(decl_1180,type,
    esk70_1: $i > $i ).

tff(decl_1181,type,
    esk71_0: $i ).

tff(decl_1182,type,
    esk72_2: ( $i * $i ) > $i ).

tff(decl_1183,type,
    esk73_2: ( $i * $i ) > $i ).

tff(decl_1184,type,
    esk74_2: ( $i * $i ) > $i ).

tff(decl_1185,type,
    esk75_2: ( $i * $i ) > $i ).

tff(decl_1186,type,
    esk76_3: ( $i * $i * $i ) > $i ).

tff(decl_1187,type,
    esk77_3: ( $i * $i * $i ) > $i ).

tff(decl_1188,type,
    esk78_3: ( $i * $i * $i ) > $i ).

tff(decl_1189,type,
    esk79_3: ( $i * $i * $i ) > $i ).

tff(decl_1190,type,
    esk80_3: ( $i * $i * $i ) > $i ).

tff(decl_1191,type,
    esk81_2: ( $i * $i ) > $i ).

tff(decl_1192,type,
    esk82_2: ( $i * $i ) > $i ).

tff(decl_1193,type,
    esk83_2: ( $i * $i ) > $i ).

tff(decl_1194,type,
    esk84_2: ( $i * $i ) > $i ).

tff(decl_1195,type,
    esk85_1: $i > $i ).

tff(decl_1196,type,
    esk86_2: ( $i * $i ) > $i ).

tff(decl_1197,type,
    esk87_1: $i > $i ).

tff(decl_1198,type,
    esk88_3: ( $i * $i * $i ) > $i ).

tff(decl_1199,type,
    esk89_2: ( $i * $i ) > $i ).

tff(decl_1200,type,
    esk90_2: ( $i * $i ) > $i ).

tff(decl_1201,type,
    esk91_3: ( $i * $i * $i ) > $i ).

tff(decl_1202,type,
    esk92_3: ( $i * $i * $i ) > $i ).

tff(decl_1203,type,
    esk93_3: ( $i * $i * $i ) > $i ).

tff(decl_1204,type,
    esk94_3: ( $i * $i * $i ) > $i ).

tff(decl_1205,type,
    esk95_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1206,type,
    esk96_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1207,type,
    esk97_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1208,type,
    esk98_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1209,type,
    esk99_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1210,type,
    esk100_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1211,type,
    esk101_3: ( $i * $i * $i ) > $i ).

tff(decl_1212,type,
    esk102_3: ( $i * $i * $i ) > $i ).

tff(decl_1213,type,
    esk103_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1214,type,
    esk104_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1215,type,
    esk105_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1216,type,
    esk106_3: ( $i * $i * $i ) > $i ).

tff(decl_1217,type,
    esk107_3: ( $i * $i * $i ) > $i ).

tff(decl_1218,type,
    esk108_3: ( $i * $i * $i ) > $i ).

tff(decl_1219,type,
    esk109_3: ( $i * $i * $i ) > $i ).

tff(decl_1220,type,
    esk110_2: ( $i * $i ) > $i ).

tff(decl_1221,type,
    esk111_2: ( $i * $i ) > $i ).

tff(decl_1222,type,
    esk112_2: ( $i * $i ) > $i ).

tff(decl_1223,type,
    esk113_2: ( $i * $i ) > $i ).

tff(decl_1224,type,
    esk114_2: ( $i * $i ) > $i ).

tff(decl_1225,type,
    esk115_2: ( $i * $i ) > $i ).

tff(decl_1226,type,
    esk116_2: ( $i * $i ) > $i ).

tff(decl_1227,type,
    esk117_2: ( $i * $i ) > $i ).

tff(decl_1228,type,
    esk118_0: $i ).

tff(decl_1229,type,
    esk119_1: $i > $i ).

tff(decl_1230,type,
    esk120_1: $i > $i ).

tff(decl_1231,type,
    esk121_2: ( $i * $i ) > $i ).

tff(decl_1232,type,
    esk122_3: ( $i * $i * $i ) > $i ).

tff(decl_1233,type,
    esk123_2: ( $i * $i ) > $i ).

tff(decl_1234,type,
    esk124_2: ( $i * $i ) > $i ).

tff(decl_1235,type,
    esk125_2: ( $i * $i ) > $i ).

tff(decl_1236,type,
    esk126_2: ( $i * $i ) > $i ).

tff(decl_1237,type,
    esk127_2: ( $i * $i ) > $i ).

tff(decl_1238,type,
    esk128_2: ( $i * $i ) > $i ).

tff(decl_1239,type,
    esk129_1: $i > $i ).

tff(decl_1240,type,
    esk130_1: $i > $i ).

tff(decl_1241,type,
    esk131_1: $i > $i ).

tff(decl_1242,type,
    esk132_2: ( $i * $i ) > $i ).

tff(decl_1243,type,
    esk133_2: ( $i * $i ) > $i ).

tff(decl_1244,type,
    esk134_1: $i > $i ).

tff(decl_1245,type,
    esk135_1: $i > $i ).

tff(decl_1246,type,
    esk136_1: $i > $i ).

tff(decl_1247,type,
    esk137_3: ( $i * $i * $i ) > $i ).

tff(decl_1248,type,
    esk138_3: ( $i * $i * $i ) > $i ).

tff(decl_1249,type,
    esk139_3: ( $i * $i * $i ) > $i ).

tff(decl_1250,type,
    esk140_3: ( $i * $i * $i ) > $i ).

tff(decl_1251,type,
    esk141_3: ( $i * $i * $i ) > $i ).

tff(decl_1252,type,
    esk142_3: ( $i * $i * $i ) > $i ).

tff(decl_1253,type,
    esk143_3: ( $i * $i * $i ) > $i ).

tff(decl_1254,type,
    esk144_3: ( $i * $i * $i ) > $i ).

fof(conj_0,conjecture,
    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != zero_zero_int,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(fact_1906_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
    ! [X563] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X563),X563) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X563),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1906_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).

fof(fact_3135_semiring__norm_I115_J,axiom,
    hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3135_semiring__norm_I115_J) ).

fof(fact_151_Pls__def,axiom,
    pls = zero_zero_int,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_Pls__def) ).

fof(fact_3047_One__nat__def,axiom,
    one_one_nat = hAPP_nat_nat(suc,zero_zero_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3047_One__nat__def) ).

fof(fact_3105_int__Suc,axiom,
    ! [X16] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,X16)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,X16)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3105_int__Suc) ).

fof(fact_65_int__power,axiom,
    ! [X16,X17] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X16),X17)) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,X16)),X17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_int__power) ).

fof(fact_120_int__less__0__conv,axiom,
    ! [X22] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X22)),zero_zero_int)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_int__less__0__conv) ).

fof(fact_307_Nat__Transfer_Otransfer__int__nat__relations_I2_J,axiom,
    ! [X4,X5] :
      ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X4)),hAPP_nat_int(semiri1621563631at_int,X5)))
    <=> hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X4),X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307_Nat__Transfer_Otransfer__int__nat__relations_I2_J) ).

fof(fact_2101_le__square,axiom,
    ! [X16] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X16),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X16),X16))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2101_le__square) ).

fof(fact_4744_less__eq__Suc__le__raw,axiom,
    ! [X168] : hAPP_n1699378549t_bool(ord_less_nat,X168) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X168)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4744_less__eq__Suc__le__raw) ).

fof(c_0_11,negated_conjecture,
    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = zero_zero_int,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

fof(c_0_12,plain,
    ! [X3508] : hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X3508),X3508) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X3508),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
    inference(variable_rename,[status(thm)],[fact_1906_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J]) ).

cnf(c_0_13,plain,
    hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
    inference(split_conjunct,[status(thm)],[fact_3135_semiring__norm_I115_J]) ).

cnf(c_0_14,plain,
    pls = zero_zero_int,
    inference(split_conjunct,[status(thm)],[fact_151_Pls__def]) ).

cnf(c_0_15,plain,
    one_one_nat = hAPP_nat_nat(suc,zero_zero_nat),
    inference(split_conjunct,[status(thm)],[fact_3047_One__nat__def]) ).

cnf(c_0_16,negated_conjecture,
    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = zero_zero_int,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_17,plain,
    ! [X1444] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,X1444)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,X1444)),
    inference(variable_rename,[status(thm)],[fact_3105_int__Suc]) ).

fof(c_0_18,plain,
    ! [X1328,X1329] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X1328),X1329)) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,X1328)),X1329),
    inference(variable_rename,[status(thm)],[fact_65_int__power]) ).

cnf(c_0_19,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X1),X1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,plain,
    hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))) = hAPP_nat_nat(suc,one_one_nat),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

fof(c_0_21,plain,
    ! [X22] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X22)),zero_zero_int)),
    inference(fof_simplification,[status(thm)],[fact_120_int__less__0__conv]) ).

fof(c_0_22,plain,
    ! [X1341,X1342] :
      ( ( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X1341)),hAPP_nat_int(semiri1621563631at_int,X1342)))
        | hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1341),X1342)) )
      & ( ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1341),X1342))
        | hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X1341)),hAPP_nat_int(semiri1621563631at_int,X1342))) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_307_Nat__Transfer_Otransfer__int__nat__relations_I2_J])]) ).

cnf(c_0_23,negated_conjecture,
    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int)))) = zero_zero_int,
    inference(rw,[status(thm)],[c_0_16,c_0_14]) ).

cnf(c_0_24,plain,
    hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,X1)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,X1)),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X1),X2)) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,X1)),X2),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X1),X1) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X1),hAPP_nat_nat(suc,one_one_nat)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_14]),c_0_20]) ).

fof(c_0_27,plain,
    ! [X1338] : ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X1338)),zero_zero_int)),
    inference(variable_rename,[status(thm)],[c_0_21]) ).

fof(c_0_28,plain,
    ! [X2687] : hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2687),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X2687),X2687))),
    inference(variable_rename,[status(thm)],[fact_2101_le__square]) ).

fof(c_0_29,plain,
    ! [X2738] : hAPP_n1699378549t_bool(ord_less_nat,X2738) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X2738)),
    inference(variable_rename,[status(thm)],[fact_4744_less__eq__Suc__le__raw]) ).

cnf(c_0_30,plain,
    ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X1)),hAPP_nat_int(semiri1621563631at_int,X2)))
    | ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_31,negated_conjecture,
    hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,n)),hAPP_nat_nat(suc,n))) = zero_zero_int,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_20]),c_0_25]),c_0_26]) ).

cnf(c_0_32,plain,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X1)),zero_zero_int)),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_33,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X1),X1))),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,plain,
    hAPP_n1699378549t_bool(ord_less_nat,X1) = hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    ~ hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,n)),hAPP_nat_nat(suc,n)))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).

cnf(c_0_36,plain,
    hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X1)))),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_35,c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM925+4 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri Aug 25 16:39:44 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.63  start to proof: theBenchmark
% 2.74/2.91  % Version  : CSE_E---1.5
% 2.74/2.91  % Problem  : theBenchmark.p
% 2.74/2.91  % Proof found
% 2.74/2.91  % SZS status Theorem for theBenchmark.p
% 2.74/2.91  % SZS output start Proof
% See solution above
% 2.74/2.93  % Total time : 2.087000 s
% 2.74/2.93  % SZS output end Proof
% 2.74/2.93  % Total time : 2.282000 s
%------------------------------------------------------------------------------