TSTP Solution File: ALG216+2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : ALG216+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 16:06:42 EDT 2023

% Result   : Theorem 39.74s 40.28s
% Output   : CNFRefutation 39.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      : 1448
% Syntax   : Number of formulae    : 1496 (  23 unt;1440 typ;   0 def)
%            Number of atoms       :  317 (  20 equ)
%            Maximal formula atoms :   44 (   5 avg)
%            Number of connectives :  418 ( 157   ~; 148   |;  88   &)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 2486 (1131   >;1355   *;   0   +;   0  <<)
%            Number of predicates  :  227 ( 225 usr;   1 prp; 0-4 aty)
%            Number of functors    : 1215 (1215 usr; 309 con; 0-9 aty)
%            Number of variables   :   56 (   0 sgn;  32   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    r2_hidden: ( $i * $i ) > $o ).

tff(decl_23,type,
    k1_tarski: $i > $i ).

tff(decl_24,type,
    k2_tarski: ( $i * $i ) > $i ).

tff(decl_25,type,
    r1_tarski: ( $i * $i ) > $o ).

tff(decl_26,type,
    k3_tarski: $i > $i ).

tff(decl_27,type,
    k4_tarski: ( $i * $i ) > $i ).

tff(decl_28,type,
    r2_tarski: ( $i * $i ) > $o ).

tff(decl_29,type,
    p1_s1_tarski: ( $i * $i ) > $o ).

tff(decl_30,type,
    f1_s1_tarski: $i ).

tff(decl_31,type,
    k1_xboole_0: $i ).

tff(decl_32,type,
    v1_xboole_0: $i > $o ).

tff(decl_33,type,
    k2_xboole_0: ( $i * $i ) > $i ).

tff(decl_34,type,
    k3_xboole_0: ( $i * $i ) > $i ).

tff(decl_35,type,
    k4_xboole_0: ( $i * $i ) > $i ).

tff(decl_36,type,
    k5_xboole_0: ( $i * $i ) > $i ).

tff(decl_37,type,
    r1_xboole_0: ( $i * $i ) > $o ).

tff(decl_38,type,
    r2_xboole_0: ( $i * $i ) > $o ).

tff(decl_39,type,
    r3_xboole_0: ( $i * $i ) > $o ).

tff(decl_40,type,
    f1_s1_xboole_0: $i ).

tff(decl_41,type,
    p1_s1_xboole_0: $i > $o ).

tff(decl_42,type,
    f1_s2_xboole_0: $i ).

tff(decl_43,type,
    p1_s2_xboole_0: $i > $o ).

tff(decl_44,type,
    f2_s2_xboole_0: $i ).

tff(decl_45,type,
    p1_s3_xboole_0: $i > $o ).

tff(decl_46,type,
    k1_enumset1: ( $i * $i * $i ) > $i ).

tff(decl_47,type,
    k2_enumset1: ( $i * $i * $i * $i ) > $i ).

tff(decl_48,type,
    k3_enumset1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_49,type,
    k4_enumset1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_50,type,
    k5_enumset1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_51,type,
    k6_enumset1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_52,type,
    k1_zfmisc_1: $i > $i ).

tff(decl_53,type,
    k2_zfmisc_1: ( $i * $i ) > $i ).

tff(decl_54,type,
    k3_zfmisc_1: ( $i * $i * $i ) > $i ).

tff(decl_55,type,
    k4_zfmisc_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_56,type,
    m1_subset_1: ( $i * $i ) > $o ).

tff(decl_57,type,
    k1_subset_1: $i > $i ).

tff(decl_58,type,
    k2_subset_1: $i > $i ).

tff(decl_59,type,
    k3_subset_1: ( $i * $i ) > $i ).

tff(decl_60,type,
    k4_subset_1: ( $i * $i * $i ) > $i ).

tff(decl_61,type,
    k5_subset_1: ( $i * $i * $i ) > $i ).

tff(decl_62,type,
    k6_subset_1: ( $i * $i * $i ) > $i ).

tff(decl_63,type,
    k7_subset_1: ( $i * $i * $i ) > $i ).

tff(decl_64,type,
    k8_subset_1: $i > $i ).

tff(decl_65,type,
    f1_s1_subset_1: $i ).

tff(decl_66,type,
    p1_s1_subset_1: $i > $o ).

tff(decl_67,type,
    f1_s2_subset_1: $i ).

tff(decl_68,type,
    p1_s2_subset_1: $i > $o ).

tff(decl_69,type,
    f1_s3_subset_1: $i ).

tff(decl_70,type,
    p1_s3_subset_1: $i > $o ).

tff(decl_71,type,
    f1_s4_subset_1: $i ).

tff(decl_72,type,
    f2_s4_subset_1: $i ).

tff(decl_73,type,
    p1_s4_subset_1: $i > $o ).

tff(decl_74,type,
    f3_s4_subset_1: $i ).

tff(decl_75,type,
    m2_subset_1: ( $i * $i * $i ) > $o ).

tff(decl_76,type,
    r1_subset_1: ( $i * $i ) > $o ).

tff(decl_77,type,
    r2_subset_1: ( $i * $i ) > $o ).

tff(decl_78,type,
    v1_relat_1: $i > $o ).

tff(decl_79,type,
    k1_relat_1: $i > $i ).

tff(decl_80,type,
    k2_relat_1: $i > $i ).

tff(decl_81,type,
    k5_relat_1: ( $i * $i ) > $i ).

tff(decl_82,type,
    k4_relat_1: $i > $i ).

tff(decl_83,type,
    v3_relat_1: $i > $o ).

tff(decl_84,type,
    k7_relat_1: ( $i * $i ) > $i ).

tff(decl_85,type,
    k3_relat_1: $i > $i ).

tff(decl_86,type,
    v2_relat_1: $i > $o ).

tff(decl_87,type,
    k6_relat_1: $i > $i ).

tff(decl_88,type,
    k8_relat_1: ( $i * $i ) > $i ).

tff(decl_89,type,
    k9_relat_1: ( $i * $i ) > $i ).

tff(decl_90,type,
    k10_relat_1: ( $i * $i ) > $i ).

tff(decl_91,type,
    f1_s1_relat_1: $i ).

tff(decl_92,type,
    f2_s1_relat_1: $i ).

tff(decl_93,type,
    p1_s1_relat_1: ( $i * $i ) > $o ).

tff(decl_94,type,
    v1_funct_1: $i > $o ).

tff(decl_95,type,
    v2_funct_1: $i > $o ).

tff(decl_96,type,
    v1_setfam_1: $i > $o ).

tff(decl_97,type,
    k1_funct_1: ( $i * $i ) > $i ).

tff(decl_98,type,
    k2_funct_1: $i > $i ).

tff(decl_99,type,
    p1_s1_funct_1: ( $i * $i ) > $o ).

tff(decl_100,type,
    f1_s1_funct_1: $i ).

tff(decl_101,type,
    f1_s2_funct_1: $i ).

tff(decl_102,type,
    p1_s2_funct_1: ( $i * $i ) > $o ).

tff(decl_103,type,
    f1_s3_funct_1: $i ).

tff(decl_104,type,
    f2_s3_funct_1: $i > $i ).

tff(decl_105,type,
    f1_s4_funct_1: $i ).

tff(decl_106,type,
    f2_s4_funct_1: $i > $i ).

tff(decl_107,type,
    k1_ordinal1: $i > $i ).

tff(decl_108,type,
    v3_ordinal1: $i > $o ).

tff(decl_109,type,
    v1_ordinal1: $i > $o ).

tff(decl_110,type,
    v2_ordinal1: $i > $o ).

tff(decl_111,type,
    v5_ordinal1: $i > $o ).

tff(decl_112,type,
    r1_ordinal1: ( $i * $i ) > $o ).

tff(decl_113,type,
    v4_ordinal1: $i > $o ).

tff(decl_114,type,
    m1_ordinal1: ( $i * $i ) > $o ).

tff(decl_115,type,
    k2_ordinal1: ( $i * $i ) > $i ).

tff(decl_116,type,
    v6_ordinal1: $i > $o ).

tff(decl_117,type,
    p1_s1_ordinal1: $i > $o ).

tff(decl_118,type,
    p1_s2_ordinal1: $i > $o ).

tff(decl_119,type,
    f3_s3_ordinal1: $i ).

tff(decl_120,type,
    f1_s3_ordinal1: $i ).

tff(decl_121,type,
    f2_s3_ordinal1: $i > $i ).

tff(decl_122,type,
    f4_s3_ordinal1: $i ).

tff(decl_123,type,
    f1_s4_ordinal1: $i ).

tff(decl_124,type,
    f2_s4_ordinal1: $i > $i ).

tff(decl_125,type,
    f2_s5_ordinal1: $i > $i ).

tff(decl_126,type,
    f3_s5_ordinal1: $i > $i ).

tff(decl_127,type,
    f1_s5_ordinal1: $i ).

tff(decl_128,type,
    m1_relset_1: ( $i * $i * $i ) > $o ).

tff(decl_129,type,
    m2_relset_1: ( $i * $i * $i ) > $o ).

tff(decl_130,type,
    k4_relset_1: ( $i * $i * $i ) > $i ).

tff(decl_131,type,
    k5_relset_1: ( $i * $i * $i ) > $i ).

tff(decl_132,type,
    k6_relset_1: ( $i * $i * $i ) > $i ).

tff(decl_133,type,
    k8_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_134,type,
    k9_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_135,type,
    k10_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_136,type,
    k11_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_137,type,
    k7_relset_1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_138,type,
    f1_s1_relset_1: $i ).

tff(decl_139,type,
    f2_s1_relset_1: $i ).

tff(decl_140,type,
    p1_s1_relset_1: ( $i * $i ) > $o ).

tff(decl_141,type,
    f1_s2_relset_1: $i ).

tff(decl_142,type,
    f2_s2_relset_1: $i ).

tff(decl_143,type,
    p1_s2_relset_1: ( $i * $i ) > $o ).

tff(decl_144,type,
    k1_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_145,type,
    k2_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_146,type,
    k3_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_147,type,
    v1_funct_2: ( $i * $i * $i ) > $o ).

tff(decl_148,type,
    v1_partfun1: ( $i * $i * $i ) > $o ).

tff(decl_149,type,
    k1_funct_2: ( $i * $i ) > $i ).

tff(decl_150,type,
    v3_funct_2: ( $i * $i * $i ) > $o ).

tff(decl_151,type,
    v2_funct_2: ( $i * $i * $i ) > $o ).

tff(decl_152,type,
    v1_relat_2: $i > $o ).

tff(decl_153,type,
    k1_partfun1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_154,type,
    k6_partfun1: $i > $i ).

tff(decl_155,type,
    k2_partfun1: ( $i * $i * $i * $i ) > $i ).

tff(decl_156,type,
    k2_funct_2: ( $i * $i * $i * $i ) > $i ).

tff(decl_157,type,
    k3_funct_2: ( $i * $i * $i * $i ) > $i ).

tff(decl_158,type,
    k4_funct_2: ( $i * $i * $i ) > $i ).

tff(decl_159,type,
    k5_funct_2: ( $i * $i * $i ) > $i ).

tff(decl_160,type,
    k6_funct_2: ( $i * $i ) > $i ).

tff(decl_161,type,
    k3_partfun1: ( $i * $i * $i ) > $i ).

tff(decl_162,type,
    k4_partfun1: ( $i * $i ) > $i ).

tff(decl_163,type,
    r1_partfun1: ( $i * $i ) > $o ).

tff(decl_164,type,
    k5_partfun1: ( $i * $i * $i ) > $i ).

tff(decl_165,type,
    k9_funct_2: ( $i * $i * $i ) > $i ).

tff(decl_166,type,
    f1_s1_funct_2: $i ).

tff(decl_167,type,
    f2_s1_funct_2: $i ).

tff(decl_168,type,
    p1_s1_funct_2: ( $i * $i ) > $o ).

tff(decl_169,type,
    f1_s2_funct_2: $i ).

tff(decl_170,type,
    f3_s2_funct_2: $i > $i ).

tff(decl_171,type,
    f2_s2_funct_2: $i ).

tff(decl_172,type,
    f1_s3_funct_2: $i ).

tff(decl_173,type,
    f2_s3_funct_2: $i ).

tff(decl_174,type,
    p1_s3_funct_2: ( $i * $i ) > $o ).

tff(decl_175,type,
    k8_funct_2: ( $i * $i * $i * $i ) > $i ).

tff(decl_176,type,
    f1_s4_funct_2: $i ).

tff(decl_177,type,
    f2_s4_funct_2: $i ).

tff(decl_178,type,
    f3_s4_funct_2: $i > $i ).

tff(decl_179,type,
    f1_s5_funct_2: $i ).

tff(decl_180,type,
    f2_s5_funct_2: $i ).

tff(decl_181,type,
    f3_s5_funct_2: $i ).

tff(decl_182,type,
    p1_s5_funct_2: ( $i * $i * $i ) > $o ).

tff(decl_183,type,
    f1_s6_funct_2: $i ).

tff(decl_184,type,
    f2_s6_funct_2: $i ).

tff(decl_185,type,
    f4_s6_funct_2: ( $i * $i ) > $i ).

tff(decl_186,type,
    f3_s6_funct_2: $i ).

tff(decl_187,type,
    f1_s7_funct_2: $i ).

tff(decl_188,type,
    f2_s7_funct_2: $i ).

tff(decl_189,type,
    f3_s7_funct_2: $i ).

tff(decl_190,type,
    p1_s7_funct_2: ( $i * $i * $i ) > $o ).

tff(decl_191,type,
    f1_s8_funct_2: $i ).

tff(decl_192,type,
    f2_s8_funct_2: $i ).

tff(decl_193,type,
    f3_s8_funct_2: $i ).

tff(decl_194,type,
    f4_s8_funct_2: ( $i * $i ) > $i ).

tff(decl_195,type,
    f1_s9_funct_2: $i ).

tff(decl_196,type,
    p1_s9_funct_2: $i > $o ).

tff(decl_197,type,
    f3_s9_funct_2: $i > $i ).

tff(decl_198,type,
    f2_s9_funct_2: $i ).

tff(decl_199,type,
    f4_s9_funct_2: $i > $i ).

tff(decl_200,type,
    f1_s10_funct_2: $i ).

tff(decl_201,type,
    f2_s10_funct_2: $i ).

tff(decl_202,type,
    f3_s10_funct_2: $i ).

tff(decl_203,type,
    f4_s10_funct_2: $i ).

tff(decl_204,type,
    f5_s10_funct_2: $i > $i ).

tff(decl_205,type,
    f3_s11_funct_2: $i ).

tff(decl_206,type,
    f4_s11_funct_2: $i ).

tff(decl_207,type,
    f1_s11_funct_2: $i ).

tff(decl_208,type,
    f2_s11_funct_2: $i ).

tff(decl_209,type,
    f5_s11_funct_2: $i ).

tff(decl_210,type,
    f6_s11_funct_2: $i ).

tff(decl_211,type,
    f7_s11_funct_2: $i > $i ).

tff(decl_212,type,
    f1_s12_funct_2: $i ).

tff(decl_213,type,
    f3_s12_funct_2: $i > $i ).

tff(decl_214,type,
    f2_s12_funct_2: $i ).

tff(decl_215,type,
    f1_s13_funct_2: $i ).

tff(decl_216,type,
    f3_s13_funct_2: $i > $i ).

tff(decl_217,type,
    f2_s13_funct_2: $i ).

tff(decl_218,type,
    f1_s14_funct_2: $i ).

tff(decl_219,type,
    f2_s14_funct_2: $i ).

tff(decl_220,type,
    p1_s14_funct_2: ( $i * $i ) > $o ).

tff(decl_221,type,
    k7_funct_2: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_222,type,
    k5_ordinal2: $i ).

tff(decl_223,type,
    v1_ordinal2: $i > $o ).

tff(decl_224,type,
    k2_funcop_1: ( $i * $i ) > $i ).

tff(decl_225,type,
    k1_ordinal2: $i > $i ).

tff(decl_226,type,
    k2_ordinal2: $i > $i ).

tff(decl_227,type,
    k3_ordinal2: $i > $i ).

tff(decl_228,type,
    k1_setfam_1: $i > $i ).

tff(decl_229,type,
    k4_ordinal2: $i ).

tff(decl_230,type,
    k6_ordinal2: $i > $i ).

tff(decl_231,type,
    k7_ordinal2: $i > $i ).

tff(decl_232,type,
    k8_ordinal2: $i > $i ).

tff(decl_233,type,
    k9_ordinal2: $i > $i ).

tff(decl_234,type,
    k10_ordinal2: $i > $i ).

tff(decl_235,type,
    k11_ordinal2: $i > $i ).

tff(decl_236,type,
    r1_ordinal2: ( $i * $i ) > $o ).

tff(decl_237,type,
    k12_ordinal2: $i > $i ).

tff(decl_238,type,
    k13_ordinal2: ( $i * $i ) > $i ).

tff(decl_239,type,
    v2_ordinal2: $i > $o ).

tff(decl_240,type,
    v3_ordinal2: $i > $o ).

tff(decl_241,type,
    k14_ordinal2: ( $i * $i ) > $i ).

tff(decl_242,type,
    k15_ordinal2: ( $i * $i ) > $i ).

tff(decl_243,type,
    k16_ordinal2: ( $i * $i ) > $i ).

tff(decl_244,type,
    v4_ordinal2: $i > $o ).

tff(decl_245,type,
    p1_s1_ordinal2: $i > $o ).

tff(decl_246,type,
    f1_s2_ordinal2: $i ).

tff(decl_247,type,
    f2_s2_ordinal2: $i > $i ).

tff(decl_248,type,
    f1_s3_ordinal2: $i ).

tff(decl_249,type,
    f2_s3_ordinal2: $i > $i ).

tff(decl_250,type,
    f5_s4_ordinal2: $i ).

tff(decl_251,type,
    f1_s4_ordinal2: $i ).

tff(decl_252,type,
    f2_s4_ordinal2: $i ).

tff(decl_253,type,
    f3_s4_ordinal2: ( $i * $i ) > $i ).

tff(decl_254,type,
    f4_s4_ordinal2: ( $i * $i ) > $i ).

tff(decl_255,type,
    f6_s4_ordinal2: $i ).

tff(decl_256,type,
    f1_s5_ordinal2: $i ).

tff(decl_257,type,
    f2_s5_ordinal2: $i ).

tff(decl_258,type,
    f3_s5_ordinal2: ( $i * $i ) > $i ).

tff(decl_259,type,
    f4_s5_ordinal2: ( $i * $i ) > $i ).

tff(decl_260,type,
    f2_s6_ordinal2: $i > $i ).

tff(decl_261,type,
    f4_s6_ordinal2: $i ).

tff(decl_262,type,
    f5_s6_ordinal2: ( $i * $i ) > $i ).

tff(decl_263,type,
    f6_s6_ordinal2: ( $i * $i ) > $i ).

tff(decl_264,type,
    f1_s6_ordinal2: $i ).

tff(decl_265,type,
    f3_s6_ordinal2: $i ).

tff(decl_266,type,
    f1_s7_ordinal2: $i ).

tff(decl_267,type,
    f2_s7_ordinal2: $i ).

tff(decl_268,type,
    f3_s7_ordinal2: ( $i * $i ) > $i ).

tff(decl_269,type,
    f4_s7_ordinal2: ( $i * $i ) > $i ).

tff(decl_270,type,
    f1_s8_ordinal2: $i > $i ).

tff(decl_271,type,
    f2_s8_ordinal2: $i ).

tff(decl_272,type,
    f3_s8_ordinal2: ( $i * $i ) > $i ).

tff(decl_273,type,
    f4_s8_ordinal2: ( $i * $i ) > $i ).

tff(decl_274,type,
    f4_s9_ordinal2: $i > $i ).

tff(decl_275,type,
    f1_s9_ordinal2: $i ).

tff(decl_276,type,
    f2_s9_ordinal2: ( $i * $i ) > $i ).

tff(decl_277,type,
    f3_s9_ordinal2: ( $i * $i ) > $i ).

tff(decl_278,type,
    f3_s10_ordinal2: $i > $i ).

tff(decl_279,type,
    f4_s10_ordinal2: $i ).

tff(decl_280,type,
    f5_s10_ordinal2: ( $i * $i ) > $i ).

tff(decl_281,type,
    f6_s10_ordinal2: ( $i * $i ) > $i ).

tff(decl_282,type,
    f2_s10_ordinal2: $i ).

tff(decl_283,type,
    f1_s10_ordinal2: $i ).

tff(decl_284,type,
    f1_s11_ordinal2: $i ).

tff(decl_285,type,
    f2_s11_ordinal2: $i ).

tff(decl_286,type,
    f3_s11_ordinal2: ( $i * $i ) > $i ).

tff(decl_287,type,
    f4_s11_ordinal2: ( $i * $i ) > $i ).

tff(decl_288,type,
    f2_s12_ordinal2: $i > $i ).

tff(decl_289,type,
    f4_s12_ordinal2: $i ).

tff(decl_290,type,
    f5_s12_ordinal2: ( $i * $i ) > $i ).

tff(decl_291,type,
    f6_s12_ordinal2: ( $i * $i ) > $i ).

tff(decl_292,type,
    f1_s12_ordinal2: $i ).

tff(decl_293,type,
    f3_s12_ordinal2: $i ).

tff(decl_294,type,
    f1_s13_ordinal2: $i ).

tff(decl_295,type,
    f2_s13_ordinal2: $i ).

tff(decl_296,type,
    f3_s13_ordinal2: ( $i * $i ) > $i ).

tff(decl_297,type,
    f4_s13_ordinal2: ( $i * $i ) > $i ).

tff(decl_298,type,
    f1_s14_ordinal2: $i > $i ).

tff(decl_299,type,
    f2_s14_ordinal2: $i ).

tff(decl_300,type,
    f3_s14_ordinal2: ( $i * $i ) > $i ).

tff(decl_301,type,
    f4_s14_ordinal2: ( $i * $i ) > $i ).

tff(decl_302,type,
    f4_s15_ordinal2: $i > $i ).

tff(decl_303,type,
    f1_s15_ordinal2: $i ).

tff(decl_304,type,
    f2_s15_ordinal2: ( $i * $i ) > $i ).

tff(decl_305,type,
    f3_s15_ordinal2: ( $i * $i ) > $i ).

tff(decl_306,type,
    f3_s16_ordinal2: $i > $i ).

tff(decl_307,type,
    f4_s16_ordinal2: $i ).

tff(decl_308,type,
    f5_s16_ordinal2: ( $i * $i ) > $i ).

tff(decl_309,type,
    f6_s16_ordinal2: ( $i * $i ) > $i ).

tff(decl_310,type,
    f2_s16_ordinal2: $i ).

tff(decl_311,type,
    f1_s16_ordinal2: $i ).

tff(decl_312,type,
    v1_finset_1: $i > $o ).

tff(decl_313,type,
    f1_s1_finset_1: $i ).

tff(decl_314,type,
    p1_s1_finset_1: $i > $o ).

tff(decl_315,type,
    f2_s1_finset_1: $i > $i ).

tff(decl_316,type,
    f3_s1_finset_1: $i > $i ).

tff(decl_317,type,
    f1_s2_finset_1: $i ).

tff(decl_318,type,
    p1_s2_finset_1: $i > $o ).

tff(decl_319,type,
    v1_fraenkel: $i > $o ).

tff(decl_320,type,
    m1_fraenkel: ( $i * $i * $i ) > $o ).

tff(decl_321,type,
    k2_setwiseo: ( $i * $i ) > $i ).

tff(decl_322,type,
    k1_fraenkel: ( $i * $i ) > $i ).

tff(decl_323,type,
    m2_fraenkel: ( $i * $i * $i * $i ) > $o ).

tff(decl_324,type,
    f1_s23_fraenkel: $i ).

tff(decl_325,type,
    p1_s23_fraenkel: ( $i * $i ) > $o ).

tff(decl_326,type,
    f2_s23_fraenkel: $i ).

tff(decl_327,type,
    f1_s24_fraenkel: $i ).

tff(decl_328,type,
    k5_finsub_1: $i > $i ).

tff(decl_329,type,
    f2_s24_fraenkel: $i ).

tff(decl_330,type,
    f3_s24_fraenkel: $i ).

tff(decl_331,type,
    f4_s24_fraenkel: $i > $i ).

tff(decl_332,type,
    p1_s24_fraenkel: ( $i * $i ) > $o ).

tff(decl_333,type,
    f1_s26_fraenkel: $i ).

tff(decl_334,type,
    f3_s26_fraenkel: $i ).

tff(decl_335,type,
    f2_s26_fraenkel: $i ).

tff(decl_336,type,
    p1_s26_fraenkel: ( $i * $i ) > $o ).

tff(decl_337,type,
    f1_s27_fraenkel: $i ).

tff(decl_338,type,
    f3_s27_fraenkel: $i ).

tff(decl_339,type,
    f2_s27_fraenkel: $i ).

tff(decl_340,type,
    p1_s27_fraenkel: ( $i * $i ) > $o ).

tff(decl_341,type,
    f1_s1_fraenkel: $i ).

tff(decl_342,type,
    p1_s1_fraenkel: $i > $o ).

tff(decl_343,type,
    p2_s1_fraenkel: $i > $o ).

tff(decl_344,type,
    a_0_0_fraenkel: $i ).

tff(decl_345,type,
    a_0_1_fraenkel: $i ).

tff(decl_346,type,
    f1_s2_fraenkel: $i ).

tff(decl_347,type,
    f2_s2_fraenkel: $i ).

tff(decl_348,type,
    p1_s2_fraenkel: ( $i * $i ) > $o ).

tff(decl_349,type,
    p2_s2_fraenkel: ( $i * $i ) > $o ).

tff(decl_350,type,
    a_0_2_fraenkel: $i ).

tff(decl_351,type,
    a_0_3_fraenkel: $i ).

tff(decl_352,type,
    f1_s3_fraenkel: $i ).

tff(decl_353,type,
    p1_s3_fraenkel: $i > $o ).

tff(decl_354,type,
    p2_s3_fraenkel: $i > $o ).

tff(decl_355,type,
    a_0_4_fraenkel: $i ).

tff(decl_356,type,
    a_0_5_fraenkel: $i ).

tff(decl_357,type,
    f1_s4_fraenkel: $i ).

tff(decl_358,type,
    f2_s4_fraenkel: $i ).

tff(decl_359,type,
    p1_s4_fraenkel: ( $i * $i ) > $o ).

tff(decl_360,type,
    p2_s4_fraenkel: ( $i * $i ) > $o ).

tff(decl_361,type,
    a_0_6_fraenkel: $i ).

tff(decl_362,type,
    a_0_7_fraenkel: $i ).

tff(decl_363,type,
    f1_s5_fraenkel: $i ).

tff(decl_364,type,
    f2_s5_fraenkel: $i > $i ).

tff(decl_365,type,
    f3_s5_fraenkel: $i > $i ).

tff(decl_366,type,
    a_0_8_fraenkel: $i ).

tff(decl_367,type,
    a_0_9_fraenkel: $i ).

tff(decl_368,type,
    f1_s6_fraenkel: $i ).

tff(decl_369,type,
    p1_s6_fraenkel: $i > $o ).

tff(decl_370,type,
    f2_s6_fraenkel: $i > $i ).

tff(decl_371,type,
    f3_s6_fraenkel: $i > $i ).

tff(decl_372,type,
    a_0_10_fraenkel: $i ).

tff(decl_373,type,
    a_0_11_fraenkel: $i ).

tff(decl_374,type,
    f1_s7_fraenkel: $i ).

tff(decl_375,type,
    f2_s7_fraenkel: $i ).

tff(decl_376,type,
    f3_s7_fraenkel: ( $i * $i ) > $i ).

tff(decl_377,type,
    f4_s7_fraenkel: ( $i * $i ) > $i ).

tff(decl_378,type,
    a_0_12_fraenkel: $i ).

tff(decl_379,type,
    a_0_13_fraenkel: $i ).

tff(decl_380,type,
    f1_s8_fraenkel: $i ).

tff(decl_381,type,
    f2_s8_fraenkel: $i ).

tff(decl_382,type,
    p1_s8_fraenkel: ( $i * $i ) > $o ).

tff(decl_383,type,
    p2_s8_fraenkel: ( $i * $i ) > $o ).

tff(decl_384,type,
    f3_s8_fraenkel: ( $i * $i ) > $i ).

tff(decl_385,type,
    a_0_14_fraenkel: $i ).

tff(decl_386,type,
    a_0_15_fraenkel: $i ).

tff(decl_387,type,
    f4_s9_fraenkel: $i ).

tff(decl_388,type,
    f3_s9_fraenkel: $i ).

tff(decl_389,type,
    f5_s9_fraenkel: $i ).

tff(decl_390,type,
    f1_s9_fraenkel: $i ).

tff(decl_391,type,
    p1_s9_fraenkel: $i > $o ).

tff(decl_392,type,
    p2_s9_fraenkel: $i > $o ).

tff(decl_393,type,
    a_0_16_fraenkel: $i ).

tff(decl_394,type,
    a_0_17_fraenkel: $i ).

tff(decl_395,type,
    a_0_18_fraenkel: $i ).

tff(decl_396,type,
    f1_s10_fraenkel: $i ).

tff(decl_397,type,
    a_0_19_fraenkel: $i ).

tff(decl_398,type,
    p2_s11_fraenkel: $i > $o ).

tff(decl_399,type,
    f1_s11_fraenkel: $i ).

tff(decl_400,type,
    f2_s11_fraenkel: $i ).

tff(decl_401,type,
    p1_s11_fraenkel: ( $i * $i ) > $o ).

tff(decl_402,type,
    f3_s11_fraenkel: ( $i * $i ) > $i ).

tff(decl_403,type,
    f1_s12_fraenkel: $i ).

tff(decl_404,type,
    f2_s12_fraenkel: $i ).

tff(decl_405,type,
    p1_s12_fraenkel: ( $i * $i ) > $o ).

tff(decl_406,type,
    f3_s12_fraenkel: ( $i * $i ) > $i ).

tff(decl_407,type,
    p2_s12_fraenkel: $i > $o ).

tff(decl_408,type,
    a_0_20_fraenkel: $i ).

tff(decl_409,type,
    a_0_21_fraenkel: $i ).

tff(decl_410,type,
    a_0_23_fraenkel: $i ).

tff(decl_411,type,
    a_0_24_fraenkel: $i ).

tff(decl_412,type,
    a_0_26_fraenkel: $i ).

tff(decl_413,type,
    a_0_27_fraenkel: $i ).

tff(decl_414,type,
    a_0_29_fraenkel: $i ).

tff(decl_415,type,
    f1_s16_fraenkel: $i ).

tff(decl_416,type,
    f2_s16_fraenkel: $i ).

tff(decl_417,type,
    p1_s16_fraenkel: ( $i * $i ) > $o ).

tff(decl_418,type,
    p2_s16_fraenkel: ( $i * $i ) > $o ).

tff(decl_419,type,
    f3_s16_fraenkel: ( $i * $i ) > $i ).

tff(decl_420,type,
    a_0_30_fraenkel: $i ).

tff(decl_421,type,
    a_0_31_fraenkel: $i ).

tff(decl_422,type,
    a_0_32_fraenkel: $i ).

tff(decl_423,type,
    f2_s17_fraenkel: $i ).

tff(decl_424,type,
    a_0_33_fraenkel: $i ).

tff(decl_425,type,
    f2_s18_fraenkel: $i ).

tff(decl_426,type,
    f1_s19_fraenkel: $i ).

tff(decl_427,type,
    f2_s19_fraenkel: $i ).

tff(decl_428,type,
    p2_s19_fraenkel: ( $i * $i ) > $o ).

tff(decl_429,type,
    f4_s19_fraenkel: $i ).

tff(decl_430,type,
    p1_s19_fraenkel: ( $i * $i ) > $o ).

tff(decl_431,type,
    a_0_34_fraenkel: $i ).

tff(decl_432,type,
    a_0_35_fraenkel: $i ).

tff(decl_433,type,
    a_0_36_fraenkel: $i ).

tff(decl_434,type,
    a_0_37_fraenkel: $i ).

tff(decl_435,type,
    f2_s21_fraenkel: $i ).

tff(decl_436,type,
    a_0_38_fraenkel: $i ).

tff(decl_437,type,
    f3_s22_fraenkel: $i ).

tff(decl_438,type,
    f4_s22_fraenkel: $i ).

tff(decl_439,type,
    a_0_39_fraenkel: $i ).

tff(decl_440,type,
    f3_s25_fraenkel: $i ).

tff(decl_441,type,
    f4_s25_fraenkel: $i ).

tff(decl_442,type,
    f1_s25_fraenkel: $i ).

tff(decl_443,type,
    f2_s25_fraenkel: $i ).

tff(decl_444,type,
    f5_s25_fraenkel: $i > $i ).

tff(decl_445,type,
    a_0_40_fraenkel: $i ).

tff(decl_446,type,
    f2_s1_fraenkel: $i > $i ).

tff(decl_447,type,
    f3_s2_fraenkel: ( $i * $i ) > $i ).

tff(decl_448,type,
    f2_s3_fraenkel: $i > $i ).

tff(decl_449,type,
    f3_s4_fraenkel: ( $i * $i ) > $i ).

tff(decl_450,type,
    p1_s5_fraenkel: $i > $o ).

tff(decl_451,type,
    p1_s7_fraenkel: ( $i * $i ) > $o ).

tff(decl_452,type,
    f2_s9_fraenkel: $i ).

tff(decl_453,type,
    p1_s10_fraenkel: $i > $o ).

tff(decl_454,type,
    f3_s13_fraenkel: $i ).

tff(decl_455,type,
    a_0_22_fraenkel: $i ).

tff(decl_456,type,
    p2_s13_fraenkel: $i > $o ).

tff(decl_457,type,
    f1_s13_fraenkel: $i ).

tff(decl_458,type,
    f2_s13_fraenkel: $i ).

tff(decl_459,type,
    f4_s13_fraenkel: ( $i * $i ) > $i ).

tff(decl_460,type,
    p1_s13_fraenkel: ( $i * $i ) > $o ).

tff(decl_461,type,
    f1_s14_fraenkel: $i ).

tff(decl_462,type,
    f2_s14_fraenkel: $i > $i ).

tff(decl_463,type,
    a_0_25_fraenkel: $i ).

tff(decl_464,type,
    p1_s14_fraenkel: $i > $o ).

tff(decl_465,type,
    p2_s14_fraenkel: $i > $o ).

tff(decl_466,type,
    f1_s15_fraenkel: $i ).

tff(decl_467,type,
    f2_s15_fraenkel: $i ).

tff(decl_468,type,
    f3_s15_fraenkel: ( $i * $i ) > $i ).

tff(decl_469,type,
    a_0_28_fraenkel: $i ).

tff(decl_470,type,
    p1_s15_fraenkel: ( $i * $i ) > $o ).

tff(decl_471,type,
    p2_s15_fraenkel: $i > $o ).

tff(decl_472,type,
    f1_s17_fraenkel: $i ).

tff(decl_473,type,
    f3_s17_fraenkel: $i > $i ).

tff(decl_474,type,
    p1_s17_fraenkel: $i > $o ).

tff(decl_475,type,
    f1_s18_fraenkel: $i ).

tff(decl_476,type,
    f3_s18_fraenkel: $i > $i ).

tff(decl_477,type,
    p1_s18_fraenkel: $i > $o ).

tff(decl_478,type,
    f3_s19_fraenkel: ( $i * $i ) > $i ).

tff(decl_479,type,
    f1_s20_fraenkel: $i ).

tff(decl_480,type,
    f2_s20_fraenkel: $i ).

tff(decl_481,type,
    f3_s20_fraenkel: ( $i * $i ) > $i ).

tff(decl_482,type,
    f4_s20_fraenkel: $i ).

tff(decl_483,type,
    p1_s20_fraenkel: ( $i * $i ) > $o ).

tff(decl_484,type,
    f1_s21_fraenkel: $i ).

tff(decl_485,type,
    f3_s21_fraenkel: $i > $i ).

tff(decl_486,type,
    f1_s22_fraenkel: $i ).

tff(decl_487,type,
    f2_s22_fraenkel: $i ).

tff(decl_488,type,
    f5_s22_fraenkel: ( $i * $i ) > $i ).

tff(decl_489,type,
    k1_numbers: $i ).

tff(decl_490,type,
    k2_numbers: $i ).

tff(decl_491,type,
    k3_numbers: $i ).

tff(decl_492,type,
    k4_numbers: $i ).

tff(decl_493,type,
    k2_arytm_2: $i ).

tff(decl_494,type,
    np__0: $i ).

tff(decl_495,type,
    k6_arytm_3: $i ).

tff(decl_496,type,
    k5_numbers: $i ).

tff(decl_497,type,
    k13_arytm_3: $i ).

tff(decl_498,type,
    a_0_0_numbers: $i ).

tff(decl_499,type,
    v1_xreal_0: $i > $o ).

tff(decl_500,type,
    v1_xcmplx_0: $i > $o ).

tff(decl_501,type,
    k4_xcmplx_0: $i > $i ).

tff(decl_502,type,
    k5_xcmplx_0: $i > $i ).

tff(decl_503,type,
    k2_xcmplx_0: ( $i * $i ) > $i ).

tff(decl_504,type,
    k3_xcmplx_0: ( $i * $i ) > $i ).

tff(decl_505,type,
    k6_xcmplx_0: ( $i * $i ) > $i ).

tff(decl_506,type,
    k7_xcmplx_0: ( $i * $i ) > $i ).

tff(decl_507,type,
    v2_xreal_0: $i > $o ).

tff(decl_508,type,
    v3_xreal_0: $i > $o ).

tff(decl_509,type,
    r1_xreal_0: ( $i * $i ) > $o ).

tff(decl_510,type,
    r1_arytm_2: ( $i * $i ) > $o ).

tff(decl_511,type,
    v1_int_1: $i > $o ).

tff(decl_512,type,
    k3_int_1: $i > $i ).

tff(decl_513,type,
    k1_real_1: $i > $i ).

tff(decl_514,type,
    np__1: $i ).

tff(decl_515,type,
    r1_int_1: ( $i * $i * $i ) > $o ).

tff(decl_516,type,
    k1_int_1: $i > $i ).

tff(decl_517,type,
    k2_int_1: $i > $i ).

tff(decl_518,type,
    k4_int_1: $i > $i ).

tff(decl_519,type,
    k5_int_1: ( $i * $i ) > $i ).

tff(decl_520,type,
    k6_int_1: ( $i * $i ) > $i ).

tff(decl_521,type,
    r2_int_1: ( $i * $i ) > $o ).

tff(decl_522,type,
    p1_s1_int_1: $i > $o ).

tff(decl_523,type,
    f1_s2_int_1: $i ).

tff(decl_524,type,
    p1_s2_int_1: $i > $o ).

tff(decl_525,type,
    f1_s3_int_1: $i ).

tff(decl_526,type,
    p1_s3_int_1: $i > $o ).

tff(decl_527,type,
    f1_s4_int_1: $i ).

tff(decl_528,type,
    p1_s4_int_1: $i > $o ).

tff(decl_529,type,
    p1_s5_int_1: $i > $o ).

tff(decl_530,type,
    f1_s5_int_1: $i ).

tff(decl_531,type,
    p1_s6_int_1: $i > $o ).

tff(decl_532,type,
    f1_s6_int_1: $i ).

tff(decl_533,type,
    v1_card_1: $i > $o ).

tff(decl_534,type,
    k3_card_1: $i > $i ).

tff(decl_535,type,
    k1_card_1: $i > $i ).

tff(decl_536,type,
    r2_wellord2: ( $i * $i ) > $o ).

tff(decl_537,type,
    v2_wellord1: $i > $o ).

tff(decl_538,type,
    k2_wellord2: $i > $i ).

tff(decl_539,type,
    k2_card_1: $i > $i ).

tff(decl_540,type,
    v2_card_1: $i > $o ).

tff(decl_541,type,
    k1_nat_1: ( $i * $i ) > $i ).

tff(decl_542,type,
    k4_card_1: $i > $i ).

tff(decl_543,type,
    p1_s1_card_1: $i > $o ).

tff(decl_544,type,
    p1_s2_card_1: $i > $o ).

tff(decl_545,type,
    v1_finseq_1: $i > $o ).

tff(decl_546,type,
    k1_finseq_1: $i > $i ).

tff(decl_547,type,
    m1_finseq_1: ( $i * $i ) > $o ).

tff(decl_548,type,
    k5_finseq_1: $i > $i ).

tff(decl_549,type,
    k10_finseq_1: ( $i * $i ) > $i ).

tff(decl_550,type,
    k11_finseq_1: ( $i * $i * $i ) > $i ).

tff(decl_551,type,
    k13_finseq_1: $i > $i ).

tff(decl_552,type,
    v2_finseq_1: $i > $o ).

tff(decl_553,type,
    k15_finseq_1: $i > $i ).

tff(decl_554,type,
    k7_finseq_1: ( $i * $i ) > $i ).

tff(decl_555,type,
    k16_finseq_1: ( $i * $i * $i ) > $i ).

tff(decl_556,type,
    k2_finseq_1: $i > $i ).

tff(decl_557,type,
    np__2: $i ).

tff(decl_558,type,
    k3_finseq_1: $i > $i ).

tff(decl_559,type,
    k4_finseq_1: $i > $i ).

tff(decl_560,type,
    m2_finseq_1: ( $i * $i ) > $o ).

tff(decl_561,type,
    k6_finseq_1: $i > $i ).

tff(decl_562,type,
    k9_finseq_1: $i > $i ).

tff(decl_563,type,
    np__3: $i ).

tff(decl_564,type,
    k14_finseq_1: $i > $i ).

tff(decl_565,type,
    k17_finseq_1: $i > $i ).

tff(decl_566,type,
    f1_s1_finseq_1: $i ).

tff(decl_567,type,
    p1_s1_finseq_1: ( $i * $i ) > $o ).

tff(decl_568,type,
    f1_s2_finseq_1: $i ).

tff(decl_569,type,
    f2_s2_finseq_1: $i > $i ).

tff(decl_570,type,
    p1_s3_finseq_1: $i > $o ).

tff(decl_571,type,
    f1_s4_finseq_1: $i ).

tff(decl_572,type,
    p1_s4_finseq_1: $i > $o ).

tff(decl_573,type,
    f2_s5_finseq_1: $i ).

tff(decl_574,type,
    f1_s5_finseq_1: $i ).

tff(decl_575,type,
    p1_s5_finseq_1: ( $i * $i ) > $o ).

tff(decl_576,type,
    k8_finseq_1: ( $i * $i * $i ) > $i ).

tff(decl_577,type,
    k12_finseq_1: ( $i * $i ) > $i ).

tff(decl_578,type,
    a_1_0_finseq_1: $i > $i ).

tff(decl_579,type,
    l1_struct_0: $i > $o ).

tff(decl_580,type,
    v1_struct_0: $i > $o ).

tff(decl_581,type,
    l2_struct_0: $i > $o ).

tff(decl_582,type,
    v2_struct_0: $i > $o ).

tff(decl_583,type,
    v3_struct_0: $i > $o ).

tff(decl_584,type,
    u1_struct_0: $i > $i ).

tff(decl_585,type,
    m1_struct_0: ( $i * $i * $i ) > $o ).

tff(decl_586,type,
    g1_struct_0: $i > $i ).

tff(decl_587,type,
    u2_struct_0: $i > $i ).

tff(decl_588,type,
    g2_struct_0: ( $i * $i ) > $i ).

tff(decl_589,type,
    k1_struct_0: ( $i * $i ) > $i ).

tff(decl_590,type,
    k2_struct_0: ( $i * $i * $i ) > $i ).

tff(decl_591,type,
    l1_rlvect_1: $i > $o ).

tff(decl_592,type,
    v1_rlvect_1: $i > $o ).

tff(decl_593,type,
    l2_rlvect_1: $i > $o ).

tff(decl_594,type,
    v2_rlvect_1: $i > $o ).

tff(decl_595,type,
    g2_rlvect_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_596,type,
    v3_rlvect_1: $i > $o ).

tff(decl_597,type,
    v4_rlvect_1: $i > $o ).

tff(decl_598,type,
    v5_rlvect_1: $i > $o ).

tff(decl_599,type,
    v6_rlvect_1: $i > $o ).

tff(decl_600,type,
    v7_rlvect_1: $i > $o ).

tff(decl_601,type,
    r1_rlvect_1: ( $i * $i ) > $o ).

tff(decl_602,type,
    k1_rlvect_1: $i > $i ).

tff(decl_603,type,
    k2_rlvect_1: ( $i * $i * $i ) > $i ).

tff(decl_604,type,
    u1_rlvect_1: $i > $i ).

tff(decl_605,type,
    k1_domain_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_606,type,
    k3_rlvect_1: ( $i * $i * $i ) > $i ).

tff(decl_607,type,
    u2_rlvect_1: $i > $i ).

tff(decl_608,type,
    k2_binop_1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_609,type,
    k3_real_1: ( $i * $i ) > $i ).

tff(decl_610,type,
    k4_real_1: ( $i * $i ) > $i ).

tff(decl_611,type,
    k5_rlvect_1: ( $i * $i ) > $i ).

tff(decl_612,type,
    k6_rlvect_1: ( $i * $i * $i ) > $i ).

tff(decl_613,type,
    k4_rlvect_1: ( $i * $i * $i ) > $i ).

tff(decl_614,type,
    k5_real_1: ( $i * $i ) > $i ).

tff(decl_615,type,
    k9_rlvect_1: ( $i * $i ) > $i ).

tff(decl_616,type,
    k7_rlvect_1: ( $i * $i * $i ) > $i ).

tff(decl_617,type,
    k8_rlvect_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_618,type,
    v8_rlvect_1: ( $i * $i ) > $o ).

tff(decl_619,type,
    g1_rlvect_1: ( $i * $i * $i ) > $i ).

tff(decl_620,type,
    m1_rlsub_1: ( $i * $i ) > $o ).

tff(decl_621,type,
    v1_rlsub_1: ( $i * $i ) > $o ).

tff(decl_622,type,
    k1_realset1: ( $i * $i ) > $i ).

tff(decl_623,type,
    k1_rlsub_1: $i > $i ).

tff(decl_624,type,
    k2_rlsub_1: $i > $i ).

tff(decl_625,type,
    m2_rlsub_1: ( $i * $i * $i ) > $o ).

tff(decl_626,type,
    k3_rlsub_1: ( $i * $i * $i ) > $i ).

tff(decl_627,type,
    a_3_0_rlsub_1: ( $i * $i * $i ) > $i ).

tff(decl_628,type,
    a_3_1_rlsub_1: ( $i * $i * $i ) > $i ).

tff(decl_629,type,
    l1_group_1: $i > $o ).

tff(decl_630,type,
    v1_group_1: $i > $o ).

tff(decl_631,type,
    g1_group_1: ( $i * $i ) > $i ).

tff(decl_632,type,
    v3_group_1: $i > $o ).

tff(decl_633,type,
    v2_group_1: $i > $o ).

tff(decl_634,type,
    v4_group_1: $i > $o ).

tff(decl_635,type,
    v7_group_1: $i > $o ).

tff(decl_636,type,
    k1_group_1: ( $i * $i * $i ) > $i ).

tff(decl_637,type,
    u1_group_1: $i > $i ).

tff(decl_638,type,
    k33_binop_2: $i ).

tff(decl_639,type,
    k2_group_1: $i > $i ).

tff(decl_640,type,
    k3_group_1: ( $i * $i ) > $i ).

tff(decl_641,type,
    k4_group_1: $i > $i ).

tff(decl_642,type,
    v2_binop_1: ( $i * $i ) > $o ).

tff(decl_643,type,
    r3_binop_1: ( $i * $i * $i ) > $o ).

tff(decl_644,type,
    k3_binop_1: ( $i * $i ) > $i ).

tff(decl_645,type,
    v1_setwiseo: ( $i * $i ) > $o ).

tff(decl_646,type,
    r1_finseqop: ( $i * $i * $i ) > $o ).

tff(decl_647,type,
    v1_finseqop: ( $i * $i ) > $o ).

tff(decl_648,type,
    k6_finseqop: ( $i * $i ) > $i ).

tff(decl_649,type,
    k5_group_1: $i > $i ).

tff(decl_650,type,
    k6_group_1: ( $i * $i * $i ) > $i ).

tff(decl_651,type,
    k1_int_2: $i > $i ).

tff(decl_652,type,
    k2_nat_1: ( $i * $i ) > $i ).

tff(decl_653,type,
    k7_binop_2: $i > $i ).

tff(decl_654,type,
    v5_group_1: ( $i * $i ) > $o ).

tff(decl_655,type,
    k7_group_1: ( $i * $i ) > $i ).

tff(decl_656,type,
    r1_nat_1: ( $i * $i ) > $o ).

tff(decl_657,type,
    k8_group_1: $i > $i ).

tff(decl_658,type,
    v6_group_1: $i > $o ).

tff(decl_659,type,
    k9_group_1: $i > $i ).

tff(decl_660,type,
    k10_group_1: ( $i * $i * $i ) > $i ).

tff(decl_661,type,
    k1_vectsp_1: $i ).

tff(decl_662,type,
    l1_vectsp_1: $i > $o ).

tff(decl_663,type,
    v1_vectsp_1: $i > $o ).

tff(decl_664,type,
    l2_vectsp_1: $i > $o ).

tff(decl_665,type,
    v2_vectsp_1: $i > $o ).

tff(decl_666,type,
    l3_vectsp_1: $i > $o ).

tff(decl_667,type,
    v3_vectsp_1: $i > $o ).

tff(decl_668,type,
    k3_vectsp_1: $i ).

tff(decl_669,type,
    v6_vectsp_1: $i > $o ).

tff(decl_670,type,
    v7_vectsp_1: $i > $o ).

tff(decl_671,type,
    v8_vectsp_1: $i > $o ).

tff(decl_672,type,
    v9_vectsp_1: $i > $o ).

tff(decl_673,type,
    v10_vectsp_1: $i > $o ).

tff(decl_674,type,
    v4_vectsp_1: $i > $o ).

tff(decl_675,type,
    v5_vectsp_1: $i > $o ).

tff(decl_676,type,
    l4_vectsp_1: ( $i * $i ) > $o ).

tff(decl_677,type,
    v11_vectsp_1: ( $i * $i ) > $o ).

tff(decl_678,type,
    g4_vectsp_1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_679,type,
    v12_vectsp_1: ( $i * $i ) > $o ).

tff(decl_680,type,
    v13_vectsp_1: $i > $o ).

tff(decl_681,type,
    k2_vectsp_1: $i > $i ).

tff(decl_682,type,
    u1_vectsp_1: $i > $i ).

tff(decl_683,type,
    k35_binop_2: $i ).

tff(decl_684,type,
    g3_vectsp_1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_685,type,
    k4_vectsp_1: ( $i * $i ) > $i ).

tff(decl_686,type,
    k5_vectsp_1: ( $i * $i * $i ) > $i ).

tff(decl_687,type,
    k6_vectsp_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_688,type,
    u2_vectsp_1: ( $i * $i ) > $i ).

tff(decl_689,type,
    k7_vectsp_1: $i > $i ).

tff(decl_690,type,
    g1_vectsp_1: ( $i * $i * $i ) > $i ).

tff(decl_691,type,
    g2_vectsp_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_692,type,
    v1_membered: $i > $o ).

tff(decl_693,type,
    v2_membered: $i > $o ).

tff(decl_694,type,
    v3_membered: $i > $o ).

tff(decl_695,type,
    v4_membered: $i > $o ).

tff(decl_696,type,
    v5_membered: $i > $o ).

tff(decl_697,type,
    k18_rlvect_2: $i > $i ).

tff(decl_698,type,
    k23_rlvect_2: $i > $i ).

tff(decl_699,type,
    k1_rlvect_2: ( $i * $i ) > $i ).

tff(decl_700,type,
    k4_finseq_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_701,type,
    k6_rlvect_2: ( $i * $i ) > $i ).

tff(decl_702,type,
    k1_pre_topc: $i > $i ).

tff(decl_703,type,
    k7_rlvect_2: ( $i * $i ) > $i ).

tff(decl_704,type,
    k8_rlvect_2: ( $i * $i * $i ) > $i ).

tff(decl_705,type,
    k9_rlvect_2: ( $i * $i * $i * $i ) > $i ).

tff(decl_706,type,
    k2_rlvect_2: ( $i * $i * $i ) > $i ).

tff(decl_707,type,
    k3_rlvect_2: ( $i * $i * $i ) > $i ).

tff(decl_708,type,
    k4_rlvect_2: ( $i * $i * $i ) > $i ).

tff(decl_709,type,
    k5_rlvect_2: ( $i * $i * $i ) > $i ).

tff(decl_710,type,
    m1_rlvect_2: ( $i * $i ) > $o ).

tff(decl_711,type,
    k10_rlvect_2: ( $i * $i ) > $i ).

tff(decl_712,type,
    k11_rlvect_2: $i > $i ).

tff(decl_713,type,
    m2_rlvect_2: ( $i * $i * $i ) > $o ).

tff(decl_714,type,
    k12_rlvect_2: ( $i * $i * $i ) > $i ).

tff(decl_715,type,
    k2_finseq_4: ( $i * $i * $i ) > $i ).

tff(decl_716,type,
    k3_finseq_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_717,type,
    k13_rlvect_2: ( $i * $i ) > $i ).

tff(decl_718,type,
    r1_rlvect_2: ( $i * $i * $i ) > $o ).

tff(decl_719,type,
    k14_rlvect_2: ( $i * $i * $i ) > $i ).

tff(decl_720,type,
    k15_rlvect_2: ( $i * $i * $i ) > $i ).

tff(decl_721,type,
    k16_rlvect_2: ( $i * $i ) > $i ).

tff(decl_722,type,
    k17_rlvect_2: ( $i * $i * $i ) > $i ).

tff(decl_723,type,
    k19_rlvect_2: ( $i * $i ) > $i ).

tff(decl_724,type,
    k20_rlvect_2: ( $i * $i ) > $i ).

tff(decl_725,type,
    k21_rlvect_2: $i > $i ).

tff(decl_726,type,
    k22_rlvect_2: $i > $i ).

tff(decl_727,type,
    k24_rlvect_2: ( $i * $i ) > $i ).

tff(decl_728,type,
    a_2_0_rlvect_2: ( $i * $i ) > $i ).

tff(decl_729,type,
    a_2_1_rlvect_2: ( $i * $i ) > $i ).

tff(decl_730,type,
    v1_vectsp_2: $i > $o ).

tff(decl_731,type,
    v2_vectsp_2: $i > $o ).

tff(decl_732,type,
    l1_vectsp_2: ( $i * $i ) > $o ).

tff(decl_733,type,
    v3_vectsp_2: ( $i * $i ) > $o ).

tff(decl_734,type,
    g1_vectsp_2: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_735,type,
    l2_vectsp_2: ( $i * $i * $i ) > $o ).

tff(decl_736,type,
    v4_vectsp_2: ( $i * $i * $i ) > $o ).

tff(decl_737,type,
    g2_vectsp_2: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_738,type,
    k4_vectsp_2: $i > $i ).

tff(decl_739,type,
    v5_vectsp_2: ( $i * $i ) > $o ).

tff(decl_740,type,
    k5_vectsp_2: $i > $i ).

tff(decl_741,type,
    v6_vectsp_2: ( $i * $i * $i ) > $o ).

tff(decl_742,type,
    k9_vectsp_2: ( $i * $i ) > $i ).

tff(decl_743,type,
    k1_vectsp_2: ( $i * $i ) > $i ).

tff(decl_744,type,
    k2_vectsp_2: ( $i * $i * $i ) > $i ).

tff(decl_745,type,
    k3_vectsp_2: $i > $i ).

tff(decl_746,type,
    k6_vectsp_2: ( $i * $i * $i * $i ) > $i ).

tff(decl_747,type,
    u1_vectsp_2: ( $i * $i ) > $i ).

tff(decl_748,type,
    k7_vectsp_2: $i ).

tff(decl_749,type,
    k8_vectsp_2: $i ).

tff(decl_750,type,
    k2_midsp_1: $i ).

tff(decl_751,type,
    k10_funct_3: ( $i * $i ) > $i ).

tff(decl_752,type,
    k9_funct_3: ( $i * $i ) > $i ).

tff(decl_753,type,
    m1_rmod_2: ( $i * $i * $i ) > $o ).

tff(decl_754,type,
    v1_rmod_2: ( $i * $i * $i ) > $o ).

tff(decl_755,type,
    k6_domain_1: ( $i * $i ) > $i ).

tff(decl_756,type,
    k1_rmod_2: ( $i * $i ) > $i ).

tff(decl_757,type,
    k2_rmod_2: ( $i * $i ) > $i ).

tff(decl_758,type,
    m2_rmod_2: ( $i * $i * $i * $i ) > $o ).

tff(decl_759,type,
    k3_rmod_2: ( $i * $i * $i * $i ) > $i ).

tff(decl_760,type,
    a_4_0_rmod_2: ( $i * $i * $i * $i ) > $i ).

tff(decl_761,type,
    a_4_1_rmod_2: ( $i * $i * $i * $i ) > $i ).

tff(decl_762,type,
    k3_rmod_3: ( $i * $i ) > $i ).

tff(decl_763,type,
    k2_rmod_3: ( $i * $i * $i * $i ) > $i ).

tff(decl_764,type,
    k1_rmod_3: ( $i * $i * $i * $i ) > $i ).

tff(decl_765,type,
    r1_rmod_3: ( $i * $i * $i * $i ) > $o ).

tff(decl_766,type,
    k4_rmod_3: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_767,type,
    k2_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_768,type,
    k3_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_769,type,
    k5_rmod_3: ( $i * $i ) > $i ).

tff(decl_770,type,
    k6_rmod_3: ( $i * $i ) > $i ).

tff(decl_771,type,
    g3_lattices: ( $i * $i * $i ) > $i ).

tff(decl_772,type,
    v10_lattices: $i > $o ).

tff(decl_773,type,
    l3_lattices: $i > $o ).

tff(decl_774,type,
    v13_lattices: $i > $o ).

tff(decl_775,type,
    v14_lattices: $i > $o ).

tff(decl_776,type,
    v15_lattices: $i > $o ).

tff(decl_777,type,
    v12_lattices: $i > $o ).

tff(decl_778,type,
    a_4_0_rmod_3: ( $i * $i * $i * $i ) > $i ).

tff(decl_779,type,
    k1_rmod_4: ( $i * $i * $i ) > $i ).

tff(decl_780,type,
    m1_rmod_4: ( $i * $i * $i ) > $o ).

tff(decl_781,type,
    k2_rmod_4: ( $i * $i * $i ) > $i ).

tff(decl_782,type,
    k3_rmod_4: ( $i * $i ) > $i ).

tff(decl_783,type,
    m2_rmod_4: ( $i * $i * $i * $i ) > $o ).

tff(decl_784,type,
    k4_rmod_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_785,type,
    k5_rmod_4: ( $i * $i * $i ) > $i ).

tff(decl_786,type,
    r1_rmod_4: ( $i * $i * $i * $i ) > $o ).

tff(decl_787,type,
    k6_rmod_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_788,type,
    k7_rmod_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_789,type,
    k8_rmod_4: ( $i * $i * $i ) > $i ).

tff(decl_790,type,
    k9_rmod_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_791,type,
    a_3_0_rmod_4: ( $i * $i * $i ) > $i ).

tff(decl_792,type,
    k1_rmod_5: ( $i * $i * $i ) > $i ).

tff(decl_793,type,
    v1_rmod_5: ( $i * $i * $i ) > $o ).

tff(decl_794,type,
    epred1_1: $i > $o ).

tff(decl_795,type,
    epred2_1: $i > $o ).

tff(decl_796,type,
    epred3_1: $i > $o ).

tff(decl_797,type,
    epred4_3: ( $i * $i * $i ) > $o ).

tff(decl_798,type,
    epred5_2: ( $i * $i ) > $o ).

tff(decl_799,type,
    epred6_2: ( $i * $i ) > $o ).

tff(decl_800,type,
    epred7_2: ( $i * $i ) > $o ).

tff(decl_801,type,
    epred8_1: $i > $o ).

tff(decl_802,type,
    epred9_1: $i > $o ).

tff(decl_803,type,
    epred10_1: $i > $o ).

tff(decl_804,type,
    epred11_2: ( $i * $i ) > $o ).

tff(decl_805,type,
    epred12_2: ( $i * $i ) > $o ).

tff(decl_806,type,
    esk1_0: $i ).

tff(decl_807,type,
    esk2_0: $i ).

tff(decl_808,type,
    esk3_0: $i ).

tff(decl_809,type,
    esk4_3: ( $i * $i * $i ) > $i ).

tff(decl_810,type,
    esk5_1: $i > $i ).

tff(decl_811,type,
    esk6_2: ( $i * $i ) > $i ).

tff(decl_812,type,
    esk7_1: $i > $i ).

tff(decl_813,type,
    esk8_1: $i > $i ).

tff(decl_814,type,
    esk9_1: $i > $i ).

tff(decl_815,type,
    esk10_1: $i > $i ).

tff(decl_816,type,
    esk11_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_817,type,
    esk12_1: $i > $i ).

tff(decl_818,type,
    esk13_2: ( $i * $i ) > $i ).

tff(decl_819,type,
    esk14_2: ( $i * $i ) > $i ).

tff(decl_820,type,
    esk15_2: ( $i * $i ) > $i ).

tff(decl_821,type,
    esk16_1: $i > $i ).

tff(decl_822,type,
    esk17_1: $i > $i ).

tff(decl_823,type,
    esk18_2: ( $i * $i ) > $i ).

tff(decl_824,type,
    esk19_2: ( $i * $i ) > $i ).

tff(decl_825,type,
    esk20_2: ( $i * $i ) > $i ).

tff(decl_826,type,
    esk21_2: ( $i * $i ) > $i ).

tff(decl_827,type,
    esk22_2: ( $i * $i ) > $i ).

tff(decl_828,type,
    esk23_2: ( $i * $i ) > $i ).

tff(decl_829,type,
    esk24_2: ( $i * $i ) > $i ).

tff(decl_830,type,
    esk25_2: ( $i * $i ) > $i ).

tff(decl_831,type,
    esk26_3: ( $i * $i * $i ) > $i ).

tff(decl_832,type,
    esk27_1: $i > $i ).

tff(decl_833,type,
    esk28_1: $i > $i ).

tff(decl_834,type,
    esk29_3: ( $i * $i * $i ) > $i ).

tff(decl_835,type,
    esk30_3: ( $i * $i * $i ) > $i ).

tff(decl_836,type,
    esk31_2: ( $i * $i ) > $i ).

tff(decl_837,type,
    esk32_3: ( $i * $i * $i ) > $i ).

tff(decl_838,type,
    esk33_2: ( $i * $i ) > $i ).

tff(decl_839,type,
    esk34_1: $i > $i ).

tff(decl_840,type,
    esk35_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_841,type,
    esk36_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_842,type,
    esk37_1: $i > $i ).

tff(decl_843,type,
    esk38_1: $i > $i ).

tff(decl_844,type,
    esk39_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_845,type,
    esk40_2: ( $i * $i ) > $i ).

tff(decl_846,type,
    esk41_2: ( $i * $i ) > $i ).

tff(decl_847,type,
    esk42_1: $i > $i ).

tff(decl_848,type,
    esk43_2: ( $i * $i ) > $i ).

tff(decl_849,type,
    esk44_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_850,type,
    esk45_3: ( $i * $i * $i ) > $i ).

tff(decl_851,type,
    esk46_0: $i ).

tff(decl_852,type,
    esk47_0: $i ).

tff(decl_853,type,
    esk48_1: $i > $i ).

tff(decl_854,type,
    esk49_1: $i > $i ).

tff(decl_855,type,
    esk50_1: $i > $i ).

tff(decl_856,type,
    esk51_1: $i > $i ).

tff(decl_857,type,
    esk52_1: $i > $i ).

tff(decl_858,type,
    esk53_1: $i > $i ).

tff(decl_859,type,
    esk54_2: ( $i * $i ) > $i ).

tff(decl_860,type,
    esk55_1: $i > $i ).

tff(decl_861,type,
    esk56_1: $i > $i ).

tff(decl_862,type,
    esk57_1: $i > $i ).

tff(decl_863,type,
    esk58_1: $i > $i ).

tff(decl_864,type,
    esk59_1: $i > $i ).

tff(decl_865,type,
    esk60_3: ( $i * $i * $i ) > $i ).

tff(decl_866,type,
    esk61_3: ( $i * $i * $i ) > $i ).

tff(decl_867,type,
    esk62_1: $i > $i ).

tff(decl_868,type,
    esk63_2: ( $i * $i ) > $i ).

tff(decl_869,type,
    esk64_1: $i > $i ).

tff(decl_870,type,
    esk65_1: $i > $i ).

tff(decl_871,type,
    esk66_2: ( $i * $i ) > $i ).

tff(decl_872,type,
    esk67_1: $i > $i ).

tff(decl_873,type,
    esk68_1: $i > $i ).

tff(decl_874,type,
    esk69_2: ( $i * $i ) > $i ).

tff(decl_875,type,
    esk70_2: ( $i * $i ) > $i ).

tff(decl_876,type,
    esk71_3: ( $i * $i * $i ) > $i ).

tff(decl_877,type,
    esk72_3: ( $i * $i * $i ) > $i ).

tff(decl_878,type,
    esk73_3: ( $i * $i * $i ) > $i ).

tff(decl_879,type,
    esk74_2: ( $i * $i ) > $i ).

tff(decl_880,type,
    esk75_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_881,type,
    esk76_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_882,type,
    esk77_3: ( $i * $i * $i ) > $i ).

tff(decl_883,type,
    esk78_2: ( $i * $i ) > $i ).

tff(decl_884,type,
    esk79_2: ( $i * $i ) > $i ).

tff(decl_885,type,
    esk80_1: $i > $i ).

tff(decl_886,type,
    esk81_1: $i > $i ).

tff(decl_887,type,
    esk82_1: $i > $i ).

tff(decl_888,type,
    esk83_1: $i > $i ).

tff(decl_889,type,
    esk84_2: ( $i * $i ) > $i ).

tff(decl_890,type,
    esk85_3: ( $i * $i * $i ) > $i ).

tff(decl_891,type,
    esk86_3: ( $i * $i * $i ) > $i ).

tff(decl_892,type,
    esk87_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_893,type,
    esk88_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_894,type,
    esk89_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_895,type,
    esk90_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_896,type,
    esk91_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_897,type,
    esk92_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_898,type,
    esk93_2: ( $i * $i ) > $i ).

tff(decl_899,type,
    esk94_2: ( $i * $i ) > $i ).

tff(decl_900,type,
    esk95_2: ( $i * $i ) > $i ).

tff(decl_901,type,
    esk96_2: ( $i * $i ) > $i ).

tff(decl_902,type,
    esk97_2: ( $i * $i ) > $i ).

tff(decl_903,type,
    esk98_2: ( $i * $i ) > $i ).

tff(decl_904,type,
    esk99_2: ( $i * $i ) > $i ).

tff(decl_905,type,
    esk100_2: ( $i * $i ) > $i ).

tff(decl_906,type,
    esk101_1: $i > $i ).

tff(decl_907,type,
    esk102_1: $i > $i ).

tff(decl_908,type,
    esk103_1: $i > $i ).

tff(decl_909,type,
    esk104_1: $i > $i ).

tff(decl_910,type,
    esk105_1: $i > $i ).

tff(decl_911,type,
    esk106_2: ( $i * $i ) > $i ).

tff(decl_912,type,
    esk107_2: ( $i * $i ) > $i ).

tff(decl_913,type,
    esk108_2: ( $i * $i ) > $i ).

tff(decl_914,type,
    esk109_3: ( $i * $i * $i ) > $i ).

tff(decl_915,type,
    esk110_3: ( $i * $i * $i ) > $i ).

tff(decl_916,type,
    esk111_3: ( $i * $i * $i ) > $i ).

tff(decl_917,type,
    esk112_2: ( $i * $i ) > $i ).

tff(decl_918,type,
    esk113_2: ( $i * $i ) > $i ).

tff(decl_919,type,
    esk114_2: ( $i * $i ) > $i ).

tff(decl_920,type,
    esk115_3: ( $i * $i * $i ) > $i ).

tff(decl_921,type,
    esk116_2: ( $i * $i ) > $i ).

tff(decl_922,type,
    esk117_2: ( $i * $i ) > $i ).

tff(decl_923,type,
    esk118_3: ( $i * $i * $i ) > $i ).

tff(decl_924,type,
    esk119_3: ( $i * $i * $i ) > $i ).

tff(decl_925,type,
    esk120_1: $i > $i ).

tff(decl_926,type,
    esk121_1: $i > $i ).

tff(decl_927,type,
    esk122_3: ( $i * $i * $i ) > $i ).

tff(decl_928,type,
    esk123_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_929,type,
    esk124_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_930,type,
    esk125_2: ( $i * $i ) > $i ).

tff(decl_931,type,
    esk126_2: ( $i * $i ) > $i ).

tff(decl_932,type,
    esk127_2: ( $i * $i ) > $i ).

tff(decl_933,type,
    esk128_2: ( $i * $i ) > $i ).

tff(decl_934,type,
    esk129_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_935,type,
    esk130_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_936,type,
    esk131_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_937,type,
    esk132_3: ( $i * $i * $i ) > $i ).

tff(decl_938,type,
    esk133_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_939,type,
    esk134_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_940,type,
    esk135_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_941,type,
    esk136_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_942,type,
    esk137_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_943,type,
    esk138_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_944,type,
    esk139_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_945,type,
    esk140_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_946,type,
    esk141_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_947,type,
    esk142_3: ( $i * $i * $i ) > $i ).

tff(decl_948,type,
    esk143_1: $i > $i ).

tff(decl_949,type,
    esk144_1: $i > $i ).

tff(decl_950,type,
    esk145_1: $i > $i ).

tff(decl_951,type,
    esk146_1: $i > $i ).

tff(decl_952,type,
    esk147_1: $i > $i ).

tff(decl_953,type,
    esk148_3: ( $i * $i * $i ) > $i ).

tff(decl_954,type,
    esk149_3: ( $i * $i * $i ) > $i ).

tff(decl_955,type,
    esk150_0: $i ).

tff(decl_956,type,
    esk151_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_957,type,
    esk152_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_958,type,
    esk153_3: ( $i * $i * $i ) > $i ).

tff(decl_959,type,
    esk154_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_960,type,
    esk155_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_961,type,
    esk156_2: ( $i * $i ) > $i ).

tff(decl_962,type,
    esk157_3: ( $i * $i * $i ) > $i ).

tff(decl_963,type,
    esk158_3: ( $i * $i * $i ) > $i ).

tff(decl_964,type,
    esk159_3: ( $i * $i * $i ) > $i ).

tff(decl_965,type,
    esk160_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_966,type,
    esk161_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_967,type,
    esk162_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_968,type,
    esk163_0: $i ).

tff(decl_969,type,
    esk164_2: ( $i * $i ) > $i ).

tff(decl_970,type,
    esk165_1: $i > $i ).

tff(decl_971,type,
    esk166_1: $i > $i ).

tff(decl_972,type,
    esk167_2: ( $i * $i ) > $i ).

tff(decl_973,type,
    esk168_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_974,type,
    esk169_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_975,type,
    esk170_3: ( $i * $i * $i ) > $i ).

tff(decl_976,type,
    esk171_2: ( $i * $i ) > $i ).

tff(decl_977,type,
    esk172_2: ( $i * $i ) > $i ).

tff(decl_978,type,
    esk173_0: $i ).

tff(decl_979,type,
    esk174_3: ( $i * $i * $i ) > $i ).

tff(decl_980,type,
    esk175_1: $i > $i ).

tff(decl_981,type,
    esk176_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_982,type,
    esk177_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_983,type,
    esk178_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_984,type,
    esk179_2: ( $i * $i ) > $i ).

tff(decl_985,type,
    esk180_1: $i > $i ).

tff(decl_986,type,
    esk181_0: $i ).

tff(decl_987,type,
    esk182_1: $i > $i ).

tff(decl_988,type,
    esk183_1: $i > $i ).

tff(decl_989,type,
    esk184_0: $i ).

tff(decl_990,type,
    esk185_1: $i > $i ).

tff(decl_991,type,
    esk186_1: $i > $i ).

tff(decl_992,type,
    esk187_1: $i > $i ).

tff(decl_993,type,
    esk188_0: $i ).

tff(decl_994,type,
    esk189_0: $i ).

tff(decl_995,type,
    esk190_0: $i ).

tff(decl_996,type,
    esk191_0: $i ).

tff(decl_997,type,
    esk192_1: $i > $i ).

tff(decl_998,type,
    esk193_1: $i > $i ).

tff(decl_999,type,
    esk194_0: $i ).

tff(decl_1000,type,
    esk195_0: $i ).

tff(decl_1001,type,
    esk196_1: $i > $i ).

tff(decl_1002,type,
    esk197_1: $i > $i ).

tff(decl_1003,type,
    esk198_3: ( $i * $i * $i ) > $i ).

tff(decl_1004,type,
    esk199_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1005,type,
    esk200_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1006,type,
    esk201_1: $i > $i ).

tff(decl_1007,type,
    esk202_1: $i > $i ).

tff(decl_1008,type,
    esk203_1: $i > $i ).

tff(decl_1009,type,
    esk204_1: $i > $i ).

tff(decl_1010,type,
    esk205_1: $i > $i ).

tff(decl_1011,type,
    esk206_1: $i > $i ).

tff(decl_1012,type,
    esk207_1: $i > $i ).

tff(decl_1013,type,
    esk208_1: $i > $i ).

tff(decl_1014,type,
    esk209_1: $i > $i ).

tff(decl_1015,type,
    esk210_3: ( $i * $i * $i ) > $i ).

tff(decl_1016,type,
    esk211_3: ( $i * $i * $i ) > $i ).

tff(decl_1017,type,
    esk212_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1018,type,
    esk213_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1019,type,
    esk214_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1020,type,
    esk215_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1021,type,
    esk216_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1022,type,
    esk217_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1023,type,
    esk218_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1024,type,
    esk219_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1025,type,
    esk220_2: ( $i * $i ) > $i ).

tff(decl_1026,type,
    esk221_3: ( $i * $i * $i ) > $i ).

tff(decl_1027,type,
    esk222_3: ( $i * $i * $i ) > $i ).

tff(decl_1028,type,
    esk223_3: ( $i * $i * $i ) > $i ).

tff(decl_1029,type,
    esk224_3: ( $i * $i * $i ) > $i ).

tff(decl_1030,type,
    esk225_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1031,type,
    esk226_1: $i > $i ).

tff(decl_1032,type,
    esk227_1: $i > $i ).

tff(decl_1033,type,
    esk228_3: ( $i * $i * $i ) > $i ).

tff(decl_1034,type,
    esk229_2: ( $i * $i ) > $i ).

tff(decl_1035,type,
    esk230_3: ( $i * $i * $i ) > $i ).

tff(decl_1036,type,
    esk231_2: ( $i * $i ) > $i ).

tff(decl_1037,type,
    esk232_0: $i ).

tff(decl_1038,type,
    esk233_2: ( $i * $i ) > $i ).

tff(decl_1039,type,
    esk234_1: $i > $i ).

tff(decl_1040,type,
    esk235_0: $i ).

tff(decl_1041,type,
    esk236_0: $i ).

tff(decl_1042,type,
    esk237_1: $i > $i ).

tff(decl_1043,type,
    esk238_2: ( $i * $i ) > $i ).

tff(decl_1044,type,
    esk239_1: $i > $i ).

tff(decl_1045,type,
    esk240_2: ( $i * $i ) > $i ).

tff(decl_1046,type,
    esk241_2: ( $i * $i ) > $i ).

tff(decl_1047,type,
    esk242_1: $i > $i ).

tff(decl_1048,type,
    esk243_1: $i > $i ).

tff(decl_1049,type,
    esk244_0: $i ).

tff(decl_1050,type,
    esk245_0: $i ).

tff(decl_1051,type,
    esk246_0: $i ).

tff(decl_1052,type,
    esk247_0: $i ).

tff(decl_1053,type,
    esk248_0: $i ).

tff(decl_1054,type,
    esk249_0: $i ).

tff(decl_1055,type,
    esk250_0: $i ).

tff(decl_1056,type,
    esk251_0: $i ).

tff(decl_1057,type,
    esk252_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1058,type,
    esk253_0: $i ).

tff(decl_1059,type,
    esk254_0: $i ).

tff(decl_1060,type,
    esk255_2: ( $i * $i ) > $i ).

tff(decl_1061,type,
    esk256_2: ( $i * $i ) > $i ).

tff(decl_1062,type,
    esk257_0: $i ).

tff(decl_1063,type,
    esk258_0: $i ).

tff(decl_1064,type,
    esk259_0: $i ).

tff(decl_1065,type,
    esk260_0: $i ).

tff(decl_1066,type,
    esk261_3: ( $i * $i * $i ) > $i ).

tff(decl_1067,type,
    esk262_3: ( $i * $i * $i ) > $i ).

tff(decl_1068,type,
    esk263_3: ( $i * $i * $i ) > $i ).

tff(decl_1069,type,
    esk264_1: $i > $i ).

tff(decl_1070,type,
    esk265_1: $i > $i ).

tff(decl_1071,type,
    esk266_2: ( $i * $i ) > $i ).

tff(decl_1072,type,
    esk267_1: $i > $i ).

tff(decl_1073,type,
    esk268_1: $i > $i ).

tff(decl_1074,type,
    esk269_1: $i > $i ).

tff(decl_1075,type,
    esk270_0: $i ).

tff(decl_1076,type,
    esk271_3: ( $i * $i * $i ) > $i ).

tff(decl_1077,type,
    esk272_0: $i ).

tff(decl_1078,type,
    esk273_0: $i ).

tff(decl_1079,type,
    esk274_0: $i ).

tff(decl_1080,type,
    esk275_0: $i ).

tff(decl_1081,type,
    esk276_0: $i ).

tff(decl_1082,type,
    esk277_0: $i ).

tff(decl_1083,type,
    esk278_0: $i ).

tff(decl_1084,type,
    esk279_0: $i ).

tff(decl_1085,type,
    esk280_1: $i > $i ).

tff(decl_1086,type,
    esk281_2: ( $i * $i ) > $i ).

tff(decl_1087,type,
    esk282_2: ( $i * $i ) > $i ).

tff(decl_1088,type,
    esk283_1: $i > $i ).

tff(decl_1089,type,
    esk284_1: $i > $i ).

tff(decl_1090,type,
    esk285_2: ( $i * $i ) > $i ).

tff(decl_1091,type,
    esk286_1: $i > $i ).

tff(decl_1092,type,
    esk287_1: $i > $i ).

tff(decl_1093,type,
    esk288_3: ( $i * $i * $i ) > $i ).

tff(decl_1094,type,
    esk289_3: ( $i * $i * $i ) > $i ).

tff(decl_1095,type,
    esk290_3: ( $i * $i * $i ) > $i ).

tff(decl_1096,type,
    esk291_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1097,type,
    esk292_3: ( $i * $i * $i ) > $i ).

tff(decl_1098,type,
    esk293_3: ( $i * $i * $i ) > $i ).

tff(decl_1099,type,
    esk294_3: ( $i * $i * $i ) > $i ).

tff(decl_1100,type,
    esk295_2: ( $i * $i ) > $i ).

tff(decl_1101,type,
    esk296_2: ( $i * $i ) > $i ).

tff(decl_1102,type,
    esk297_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1103,type,
    esk298_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1104,type,
    esk299_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1105,type,
    esk300_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1106,type,
    esk301_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1107,type,
    esk302_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1108,type,
    esk303_2: ( $i * $i ) > $i ).

tff(decl_1109,type,
    esk304_2: ( $i * $i ) > $i ).

tff(decl_1110,type,
    esk305_0: $i ).

tff(decl_1111,type,
    esk306_2: ( $i * $i ) > $i ).

tff(decl_1112,type,
    esk307_2: ( $i * $i ) > $i ).

tff(decl_1113,type,
    esk308_1: $i > $i ).

tff(decl_1114,type,
    esk309_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1115,type,
    esk310_3: ( $i * $i * $i ) > $i ).

tff(decl_1116,type,
    esk311_3: ( $i * $i * $i ) > $i ).

tff(decl_1117,type,
    esk312_2: ( $i * $i ) > $i ).

tff(decl_1118,type,
    esk313_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1119,type,
    esk314_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1120,type,
    esk315_1: $i > $i ).

tff(decl_1121,type,
    esk316_1: $i > $i ).

tff(decl_1122,type,
    esk317_2: ( $i * $i ) > $i ).

tff(decl_1123,type,
    esk318_2: ( $i * $i ) > $i ).

tff(decl_1124,type,
    esk319_1: $i > $i ).

tff(decl_1125,type,
    esk320_1: $i > $i ).

tff(decl_1126,type,
    esk321_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1127,type,
    esk322_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1128,type,
    esk323_3: ( $i * $i * $i ) > $i ).

tff(decl_1129,type,
    esk324_3: ( $i * $i * $i ) > $i ).

tff(decl_1130,type,
    esk325_3: ( $i * $i * $i ) > $i ).

tff(decl_1131,type,
    esk326_1: $i > $i ).

tff(decl_1132,type,
    esk327_1: $i > $i ).

tff(decl_1133,type,
    esk328_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1134,type,
    esk329_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1135,type,
    esk330_2: ( $i * $i ) > $i ).

tff(decl_1136,type,
    esk331_2: ( $i * $i ) > $i ).

tff(decl_1137,type,
    esk332_2: ( $i * $i ) > $i ).

tff(decl_1138,type,
    esk333_2: ( $i * $i ) > $i ).

tff(decl_1139,type,
    esk334_2: ( $i * $i ) > $i ).

tff(decl_1140,type,
    esk335_2: ( $i * $i ) > $i ).

tff(decl_1141,type,
    esk336_1: $i > $i ).

tff(decl_1142,type,
    esk337_2: ( $i * $i ) > $i ).

tff(decl_1143,type,
    esk338_2: ( $i * $i ) > $i ).

tff(decl_1144,type,
    esk339_3: ( $i * $i * $i ) > $i ).

tff(decl_1145,type,
    esk340_2: ( $i * $i ) > $i ).

tff(decl_1146,type,
    esk341_2: ( $i * $i ) > $i ).

tff(decl_1147,type,
    esk342_3: ( $i * $i * $i ) > $i ).

tff(decl_1148,type,
    esk343_2: ( $i * $i ) > $i ).

tff(decl_1149,type,
    esk344_2: ( $i * $i ) > $i ).

tff(decl_1150,type,
    esk345_2: ( $i * $i ) > $i ).

tff(decl_1151,type,
    esk346_2: ( $i * $i ) > $i ).

tff(decl_1152,type,
    esk347_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1153,type,
    esk348_3: ( $i * $i * $i ) > $i ).

tff(decl_1154,type,
    esk349_3: ( $i * $i * $i ) > $i ).

tff(decl_1155,type,
    esk350_3: ( $i * $i * $i ) > $i ).

tff(decl_1156,type,
    esk351_2: ( $i * $i ) > $i ).

tff(decl_1157,type,
    esk352_2: ( $i * $i ) > $i ).

tff(decl_1158,type,
    esk353_2: ( $i * $i ) > $i ).

tff(decl_1159,type,
    esk354_3: ( $i * $i * $i ) > $i ).

tff(decl_1160,type,
    esk355_3: ( $i * $i * $i ) > $i ).

tff(decl_1161,type,
    esk356_3: ( $i * $i * $i ) > $i ).

tff(decl_1162,type,
    esk357_3: ( $i * $i * $i ) > $i ).

tff(decl_1163,type,
    esk358_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1164,type,
    esk359_3: ( $i * $i * $i ) > $i ).

tff(decl_1165,type,
    esk360_3: ( $i * $i * $i ) > $i ).

tff(decl_1166,type,
    esk361_3: ( $i * $i * $i ) > $i ).

tff(decl_1167,type,
    esk362_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1168,type,
    esk363_3: ( $i * $i * $i ) > $i ).

tff(decl_1169,type,
    esk364_3: ( $i * $i * $i ) > $i ).

tff(decl_1170,type,
    esk365_3: ( $i * $i * $i ) > $i ).

tff(decl_1171,type,
    esk366_1: $i > $i ).

tff(decl_1172,type,
    esk367_1: $i > $i ).

tff(decl_1173,type,
    esk368_1: $i > $i ).

tff(decl_1174,type,
    esk369_1: $i > $i ).

tff(decl_1175,type,
    esk370_1: $i > $i ).

tff(decl_1176,type,
    esk371_1: $i > $i ).

tff(decl_1177,type,
    esk372_1: $i > $i ).

tff(decl_1178,type,
    esk373_3: ( $i * $i * $i ) > $i ).

tff(decl_1179,type,
    esk374_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1180,type,
    esk375_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1181,type,
    esk376_1: $i > $i ).

tff(decl_1182,type,
    esk377_2: ( $i * $i ) > $i ).

tff(decl_1183,type,
    esk378_2: ( $i * $i ) > $i ).

tff(decl_1184,type,
    esk379_1: $i > $i ).

tff(decl_1185,type,
    esk380_2: ( $i * $i ) > $i ).

tff(decl_1186,type,
    esk381_1: $i > $i ).

tff(decl_1187,type,
    esk382_1: $i > $i ).

tff(decl_1188,type,
    esk383_1: $i > $i ).

tff(decl_1189,type,
    esk384_1: $i > $i ).

tff(decl_1190,type,
    esk385_1: $i > $i ).

tff(decl_1191,type,
    esk386_0: $i ).

tff(decl_1192,type,
    esk387_2: ( $i * $i ) > $i ).

tff(decl_1193,type,
    esk388_2: ( $i * $i ) > $i ).

tff(decl_1194,type,
    esk389_2: ( $i * $i ) > $i ).

tff(decl_1195,type,
    esk390_2: ( $i * $i ) > $i ).

tff(decl_1196,type,
    esk391_2: ( $i * $i ) > $i ).

tff(decl_1197,type,
    esk392_2: ( $i * $i ) > $i ).

tff(decl_1198,type,
    esk393_0: $i ).

tff(decl_1199,type,
    esk394_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1200,type,
    esk395_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1201,type,
    esk396_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1202,type,
    esk397_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1203,type,
    esk398_0: $i ).

tff(decl_1204,type,
    esk399_1: $i > $i ).

tff(decl_1205,type,
    esk400_1: $i > $i ).

tff(decl_1206,type,
    esk401_1: $i > $i ).

tff(decl_1207,type,
    esk402_1: $i > $i ).

tff(decl_1208,type,
    esk403_2: ( $i * $i ) > $i ).

tff(decl_1209,type,
    esk404_3: ( $i * $i * $i ) > $i ).

tff(decl_1210,type,
    esk405_3: ( $i * $i * $i ) > $i ).

tff(decl_1211,type,
    esk406_2: ( $i * $i ) > $i ).

tff(decl_1212,type,
    esk407_0: $i ).

tff(decl_1213,type,
    esk408_3: ( $i * $i * $i ) > $i ).

tff(decl_1214,type,
    esk409_3: ( $i * $i * $i ) > $i ).

tff(decl_1215,type,
    esk410_3: ( $i * $i * $i ) > $i ).

tff(decl_1216,type,
    esk411_2: ( $i * $i ) > $i ).

tff(decl_1217,type,
    esk412_2: ( $i * $i ) > $i ).

tff(decl_1218,type,
    esk413_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1219,type,
    esk414_3: ( $i * $i * $i ) > $i ).

tff(decl_1220,type,
    esk415_3: ( $i * $i * $i ) > $i ).

tff(decl_1221,type,
    esk416_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1222,type,
    esk417_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1223,type,
    esk418_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1224,type,
    esk419_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1225,type,
    esk420_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1226,type,
    esk421_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1227,type,
    esk422_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1228,type,
    esk423_3: ( $i * $i * $i ) > $i ).

tff(decl_1229,type,
    esk424_3: ( $i * $i * $i ) > $i ).

tff(decl_1230,type,
    esk425_3: ( $i * $i * $i ) > $i ).

tff(decl_1231,type,
    esk426_3: ( $i * $i * $i ) > $i ).

tff(decl_1232,type,
    esk427_1: $i > $i ).

tff(decl_1233,type,
    esk428_2: ( $i * $i ) > $i ).

tff(decl_1234,type,
    esk429_1: $i > $i ).

tff(decl_1235,type,
    esk430_1: $i > $i ).

tff(decl_1236,type,
    esk431_1: $i > $i ).

tff(decl_1237,type,
    esk432_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1238,type,
    esk433_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1239,type,
    esk434_2: ( $i * $i ) > $i ).

tff(decl_1240,type,
    esk435_2: ( $i * $i ) > $i ).

tff(decl_1241,type,
    esk436_2: ( $i * $i ) > $i ).

tff(decl_1242,type,
    esk437_2: ( $i * $i ) > $i ).

tff(decl_1243,type,
    esk438_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1244,type,
    esk439_3: ( $i * $i * $i ) > $i ).

tff(decl_1245,type,
    esk440_0: $i ).

tff(decl_1246,type,
    esk441_0: $i ).

tff(decl_1247,type,
    esk442_1: $i > $i ).

tff(decl_1248,type,
    esk443_0: $i ).

tff(decl_1249,type,
    esk444_0: $i ).

tff(decl_1250,type,
    esk445_0: $i ).

tff(decl_1251,type,
    esk446_3: ( $i * $i * $i ) > $i ).

tff(decl_1252,type,
    esk447_2: ( $i * $i ) > $i ).

tff(decl_1253,type,
    esk448_2: ( $i * $i ) > $i ).

tff(decl_1254,type,
    esk449_2: ( $i * $i ) > $i ).

tff(decl_1255,type,
    esk450_2: ( $i * $i ) > $i ).

tff(decl_1256,type,
    esk451_1: $i > $i ).

tff(decl_1257,type,
    esk452_2: ( $i * $i ) > $i ).

tff(decl_1258,type,
    esk453_2: ( $i * $i ) > $i ).

tff(decl_1259,type,
    esk454_2: ( $i * $i ) > $i ).

tff(decl_1260,type,
    esk455_1: $i > $i ).

tff(decl_1261,type,
    esk456_1: $i > $i ).

tff(decl_1262,type,
    esk457_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1263,type,
    esk458_2: ( $i * $i ) > $i ).

tff(decl_1264,type,
    esk459_2: ( $i * $i ) > $i ).

tff(decl_1265,type,
    esk460_0: $i ).

tff(decl_1266,type,
    esk461_0: $i ).

tff(decl_1267,type,
    esk462_1: $i > $i ).

tff(decl_1268,type,
    esk463_1: $i > $i ).

tff(decl_1269,type,
    esk464_0: $i ).

tff(decl_1270,type,
    esk465_1: $i > $i ).

tff(decl_1271,type,
    esk466_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1272,type,
    esk467_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1273,type,
    esk468_3: ( $i * $i * $i ) > $i ).

tff(decl_1274,type,
    esk469_3: ( $i * $i * $i ) > $i ).

tff(decl_1275,type,
    esk470_2: ( $i * $i ) > $i ).

tff(decl_1276,type,
    esk471_2: ( $i * $i ) > $i ).

tff(decl_1277,type,
    esk472_2: ( $i * $i ) > $i ).

tff(decl_1278,type,
    esk473_3: ( $i * $i * $i ) > $i ).

tff(decl_1279,type,
    esk474_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1280,type,
    esk475_3: ( $i * $i * $i ) > $i ).

tff(decl_1281,type,
    esk476_3: ( $i * $i * $i ) > $i ).

tff(decl_1282,type,
    esk477_0: $i ).

tff(decl_1283,type,
    esk478_1: $i > $i ).

tff(decl_1284,type,
    esk479_1: $i > $i ).

tff(decl_1285,type,
    esk480_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1286,type,
    esk481_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1287,type,
    esk482_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1288,type,
    esk483_9: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1289,type,
    esk484_3: ( $i * $i * $i ) > $i ).

tff(decl_1290,type,
    esk485_3: ( $i * $i * $i ) > $i ).

tff(decl_1291,type,
    esk486_3: ( $i * $i * $i ) > $i ).

tff(decl_1292,type,
    esk487_3: ( $i * $i * $i ) > $i ).

tff(decl_1293,type,
    esk488_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1294,type,
    esk489_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1295,type,
    esk490_3: ( $i * $i * $i ) > $i ).

tff(decl_1296,type,
    esk491_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1297,type,
    esk492_1: $i > $i ).

tff(decl_1298,type,
    esk493_1: $i > $i ).

tff(decl_1299,type,
    esk494_1: $i > $i ).

tff(decl_1300,type,
    esk495_1: $i > $i ).

tff(decl_1301,type,
    esk496_1: $i > $i ).

tff(decl_1302,type,
    esk497_0: $i ).

tff(decl_1303,type,
    esk498_0: $i ).

tff(decl_1304,type,
    esk499_3: ( $i * $i * $i ) > $i ).

tff(decl_1305,type,
    esk500_0: $i ).

tff(decl_1306,type,
    esk501_0: $i ).

tff(decl_1307,type,
    esk502_0: $i ).

tff(decl_1308,type,
    esk503_0: $i ).

tff(decl_1309,type,
    esk504_0: $i ).

tff(decl_1310,type,
    esk505_0: $i ).

tff(decl_1311,type,
    esk506_0: $i ).

tff(decl_1312,type,
    esk507_1: $i > $i ).

tff(decl_1313,type,
    esk508_2: ( $i * $i ) > $i ).

tff(decl_1314,type,
    esk509_2: ( $i * $i ) > $i ).

tff(decl_1315,type,
    esk510_2: ( $i * $i ) > $i ).

tff(decl_1316,type,
    esk511_2: ( $i * $i ) > $i ).

tff(decl_1317,type,
    esk512_0: $i ).

tff(decl_1318,type,
    esk513_1: $i > $i ).

tff(decl_1319,type,
    esk514_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1320,type,
    esk515_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1321,type,
    esk516_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1322,type,
    esk517_0: $i ).

tff(decl_1323,type,
    esk518_3: ( $i * $i * $i ) > $i ).

tff(decl_1324,type,
    esk519_3: ( $i * $i * $i ) > $i ).

tff(decl_1325,type,
    esk520_0: $i ).

tff(decl_1326,type,
    esk521_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1327,type,
    esk522_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1328,type,
    esk523_3: ( $i * $i * $i ) > $i ).

tff(decl_1329,type,
    esk524_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1330,type,
    esk525_3: ( $i * $i * $i ) > $i ).

tff(decl_1331,type,
    esk526_3: ( $i * $i * $i ) > $i ).

tff(decl_1332,type,
    esk527_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1333,type,
    esk528_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1334,type,
    esk529_0: $i ).

tff(decl_1335,type,
    esk530_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1336,type,
    esk531_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1337,type,
    esk532_3: ( $i * $i * $i ) > $i ).

tff(decl_1338,type,
    esk533_2: ( $i * $i ) > $i ).

tff(decl_1339,type,
    esk534_3: ( $i * $i * $i ) > $i ).

tff(decl_1340,type,
    esk535_2: ( $i * $i ) > $i ).

tff(decl_1341,type,
    esk536_3: ( $i * $i * $i ) > $i ).

tff(decl_1342,type,
    esk537_1: $i > $i ).

tff(decl_1343,type,
    esk538_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1344,type,
    esk539_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1345,type,
    esk540_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1346,type,
    esk541_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1347,type,
    esk542_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1348,type,
    esk543_2: ( $i * $i ) > $i ).

tff(decl_1349,type,
    esk544_1: $i > $i ).

tff(decl_1350,type,
    esk545_1: $i > $i ).

tff(decl_1351,type,
    esk546_3: ( $i * $i * $i ) > $i ).

tff(decl_1352,type,
    esk547_2: ( $i * $i ) > $i ).

tff(decl_1353,type,
    esk548_2: ( $i * $i ) > $i ).

tff(decl_1354,type,
    esk549_0: $i ).

tff(decl_1355,type,
    esk550_1: $i > $i ).

tff(decl_1356,type,
    esk551_0: $i ).

tff(decl_1357,type,
    esk552_1: $i > $i ).

tff(decl_1358,type,
    esk553_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1359,type,
    esk554_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1360,type,
    esk555_0: $i ).

tff(decl_1361,type,
    esk556_1: $i > $i ).

tff(decl_1362,type,
    esk557_0: $i ).

tff(decl_1363,type,
    esk558_0: $i ).

tff(decl_1364,type,
    esk559_0: $i ).

tff(decl_1365,type,
    esk560_0: $i ).

tff(decl_1366,type,
    esk561_0: $i ).

tff(decl_1367,type,
    esk562_0: $i ).

tff(decl_1368,type,
    esk563_1: $i > $i ).

tff(decl_1369,type,
    esk564_1: $i > $i ).

tff(decl_1370,type,
    esk565_1: $i > $i ).

tff(decl_1371,type,
    esk566_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1372,type,
    esk567_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1373,type,
    esk568_3: ( $i * $i * $i ) > $i ).

tff(decl_1374,type,
    esk569_2: ( $i * $i ) > $i ).

tff(decl_1375,type,
    esk570_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1376,type,
    esk571_3: ( $i * $i * $i ) > $i ).

tff(decl_1377,type,
    esk572_3: ( $i * $i * $i ) > $i ).

tff(decl_1378,type,
    esk573_3: ( $i * $i * $i ) > $i ).

tff(decl_1379,type,
    esk574_3: ( $i * $i * $i ) > $i ).

tff(decl_1380,type,
    esk575_3: ( $i * $i * $i ) > $i ).

tff(decl_1381,type,
    esk576_3: ( $i * $i * $i ) > $i ).

tff(decl_1382,type,
    esk577_2: ( $i * $i ) > $i ).

tff(decl_1383,type,
    esk578_2: ( $i * $i ) > $i ).

tff(decl_1384,type,
    esk579_2: ( $i * $i ) > $i ).

tff(decl_1385,type,
    esk580_2: ( $i * $i ) > $i ).

tff(decl_1386,type,
    esk581_3: ( $i * $i * $i ) > $i ).

tff(decl_1387,type,
    esk582_2: ( $i * $i ) > $i ).

tff(decl_1388,type,
    esk583_2: ( $i * $i ) > $i ).

tff(decl_1389,type,
    esk584_1: $i > $i ).

tff(decl_1390,type,
    esk585_2: ( $i * $i ) > $i ).

tff(decl_1391,type,
    esk586_0: $i ).

tff(decl_1392,type,
    esk587_1: $i > $i ).

tff(decl_1393,type,
    esk588_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_1394,type,
    esk589_1: $i > $i ).

tff(decl_1395,type,
    esk590_1: $i > $i ).

tff(decl_1396,type,
    esk591_1: $i > $i ).

tff(decl_1397,type,
    esk592_1: $i > $i ).

tff(decl_1398,type,
    esk593_1: $i > $i ).

tff(decl_1399,type,
    esk594_1: $i > $i ).

tff(decl_1400,type,
    esk595_1: $i > $i ).

tff(decl_1401,type,
    esk596_1: $i > $i ).

tff(decl_1402,type,
    esk597_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1403,type,
    esk598_1: $i > $i ).

tff(decl_1404,type,
    esk599_1: $i > $i ).

tff(decl_1405,type,
    esk600_1: $i > $i ).

tff(decl_1406,type,
    esk601_3: ( $i * $i * $i ) > $i ).

tff(decl_1407,type,
    esk602_3: ( $i * $i * $i ) > $i ).

tff(decl_1408,type,
    esk603_3: ( $i * $i * $i ) > $i ).

tff(decl_1409,type,
    esk604_3: ( $i * $i * $i ) > $i ).

tff(decl_1410,type,
    esk605_3: ( $i * $i * $i ) > $i ).

tff(decl_1411,type,
    esk606_3: ( $i * $i * $i ) > $i ).

tff(decl_1412,type,
    esk607_3: ( $i * $i * $i ) > $i ).

tff(decl_1413,type,
    esk608_3: ( $i * $i * $i ) > $i ).

tff(decl_1414,type,
    esk609_3: ( $i * $i * $i ) > $i ).

tff(decl_1415,type,
    esk610_3: ( $i * $i * $i ) > $i ).

tff(decl_1416,type,
    esk611_3: ( $i * $i * $i ) > $i ).

tff(decl_1417,type,
    esk612_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1418,type,
    esk613_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1419,type,
    esk614_3: ( $i * $i * $i ) > $i ).

tff(decl_1420,type,
    esk615_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1421,type,
    esk616_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1422,type,
    esk617_3: ( $i * $i * $i ) > $i ).

tff(decl_1423,type,
    esk618_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1424,type,
    esk619_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1425,type,
    esk620_1: $i > $i ).

tff(decl_1426,type,
    esk621_1: $i > $i ).

tff(decl_1427,type,
    esk622_1: $i > $i ).

tff(decl_1428,type,
    esk623_1: $i > $i ).

tff(decl_1429,type,
    esk624_1: $i > $i ).

tff(decl_1430,type,
    esk625_1: $i > $i ).

tff(decl_1431,type,
    esk626_1: $i > $i ).

tff(decl_1432,type,
    esk627_1: $i > $i ).

tff(decl_1433,type,
    esk628_1: $i > $i ).

tff(decl_1434,type,
    esk629_1: $i > $i ).

tff(decl_1435,type,
    esk630_1: $i > $i ).

tff(decl_1436,type,
    esk631_1: $i > $i ).

tff(decl_1437,type,
    esk632_1: $i > $i ).

tff(decl_1438,type,
    esk633_1: $i > $i ).

tff(decl_1439,type,
    esk634_1: $i > $i ).

tff(decl_1440,type,
    esk635_1: $i > $i ).

tff(decl_1441,type,
    esk636_1: $i > $i ).

tff(decl_1442,type,
    esk637_1: $i > $i ).

tff(decl_1443,type,
    esk638_1: $i > $i ).

tff(decl_1444,type,
    esk639_1: $i > $i ).

tff(decl_1445,type,
    esk640_1: $i > $i ).

tff(decl_1446,type,
    esk641_1: $i > $i ).

tff(decl_1447,type,
    esk642_1: $i > $i ).

tff(decl_1448,type,
    esk643_1: $i > $i ).

tff(decl_1449,type,
    esk644_1: $i > $i ).

tff(decl_1450,type,
    esk645_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1451,type,
    esk646_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_1452,type,
    esk647_2: ( $i * $i ) > $i ).

tff(decl_1453,type,
    esk648_2: ( $i * $i ) > $i ).

tff(decl_1454,type,
    esk649_3: ( $i * $i * $i ) > $i ).

tff(decl_1455,type,
    esk650_2: ( $i * $i ) > $i ).

tff(decl_1456,type,
    esk651_2: ( $i * $i ) > $i ).

tff(decl_1457,type,
    esk652_3: ( $i * $i * $i ) > $i ).

tff(decl_1458,type,
    esk653_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1459,type,
    esk654_2: ( $i * $i ) > $i ).

tff(decl_1460,type,
    esk655_2: ( $i * $i ) > $i ).

tff(decl_1461,type,
    esk656_3: ( $i * $i * $i ) > $i ).

fof(t6_rmod_5,conjecture,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X2))
             => ( k1_rlvect_1(X1) != k2_group_1(X1)
               => ( ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
                  & ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_rmod_5) ).

fof(dt_l2_struct_0,axiom,
    ! [X1] :
      ( l2_struct_0(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+200.ax',dt_l2_struct_0) ).

fof(dt_l2_vectsp_1,axiom,
    ! [X1] :
      ( l2_vectsp_1(X1)
     => ( l1_vectsp_1(X1)
        & l2_struct_0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+213.ax',dt_l2_vectsp_1) ).

fof(dt_l1_vectsp_2,axiom,
    ! [X1] :
      ( l1_struct_0(X1)
     => ! [X2] :
          ( l1_vectsp_2(X2,X1)
         => l1_rlvect_1(X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+241.ax',dt_l1_vectsp_2) ).

fof(dt_l3_vectsp_1,axiom,
    ! [X1] :
      ( l3_vectsp_1(X1)
     => ( l1_rlvect_1(X1)
        & l2_vectsp_1(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+213.ax',dt_l3_vectsp_1) ).

fof(t5_rmod_5,axiom,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X2))
             => ! [X4] :
                  ( m1_subset_1(X4,u1_struct_0(X2))
                 => ( v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
                   => ( k1_rlvect_1(X1) = k2_group_1(X1)
                      | ( X3 != k1_rlvect_1(X2)
                        & X4 != k1_rlvect_1(X2) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_rmod_5) ).

fof(dt_k1_rlvect_1,axiom,
    ! [X1] :
      ( l2_struct_0(X1)
     => m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',dt_k1_rlvect_1) ).

fof(dt_l1_rlvect_1,axiom,
    ! [X1] :
      ( l1_rlvect_1(X1)
     => l2_struct_0(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',dt_l1_rlvect_1) ).

fof(c_0_8,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_struct_0(X1)
          & v3_rlvect_1(X1)
          & v4_rlvect_1(X1)
          & v5_rlvect_1(X1)
          & v6_rlvect_1(X1)
          & v4_group_1(X1)
          & v6_vectsp_1(X1)
          & v7_vectsp_1(X1)
          & v8_vectsp_1(X1)
          & l3_vectsp_1(X1) )
       => ! [X2] :
            ( ( ~ v3_struct_0(X2)
              & v3_rlvect_1(X2)
              & v4_rlvect_1(X2)
              & v5_rlvect_1(X2)
              & v6_rlvect_1(X2)
              & v5_vectsp_2(X2,X1)
              & l1_vectsp_2(X2,X1) )
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(X2))
               => ( k1_rlvect_1(X1) != k2_group_1(X1)
                 => ( ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
                    & ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t6_rmod_5])]) ).

fof(c_0_9,plain,
    ! [X2176] :
      ( ~ l2_struct_0(X2176)
      | l1_struct_0(X2176) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])]) ).

fof(c_0_10,plain,
    ! [X3315] :
      ( ( l1_vectsp_1(X3315)
        | ~ l2_vectsp_1(X3315) )
      & ( l2_struct_0(X3315)
        | ~ l2_vectsp_1(X3315) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_vectsp_1])])]) ).

fof(c_0_11,plain,
    ! [X367,X368] :
      ( ~ l1_struct_0(X367)
      | ~ l1_vectsp_2(X368,X367)
      | l1_rlvect_1(X368) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_vectsp_2])])]) ).

fof(c_0_12,negated_conjecture,
    ( ~ v3_struct_0(esk1_0)
    & v3_rlvect_1(esk1_0)
    & v4_rlvect_1(esk1_0)
    & v5_rlvect_1(esk1_0)
    & v6_rlvect_1(esk1_0)
    & v4_group_1(esk1_0)
    & v6_vectsp_1(esk1_0)
    & v7_vectsp_1(esk1_0)
    & v8_vectsp_1(esk1_0)
    & l3_vectsp_1(esk1_0)
    & ~ v3_struct_0(esk2_0)
    & v3_rlvect_1(esk2_0)
    & v4_rlvect_1(esk2_0)
    & v5_rlvect_1(esk2_0)
    & v6_rlvect_1(esk2_0)
    & v5_vectsp_2(esk2_0,esk1_0)
    & l1_vectsp_2(esk2_0,esk1_0)
    & m1_subset_1(esk3_0,u1_struct_0(esk2_0))
    & k1_rlvect_1(esk1_0) != k2_group_1(esk1_0)
    & ( v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0)
      | v1_rmod_5(k8_rlvect_2(esk2_0,k1_rlvect_1(esk2_0),esk3_0),esk1_0,esk2_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).

cnf(c_0_13,plain,
    ( l1_struct_0(X1)
    | ~ l2_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( l2_struct_0(X1)
    | ~ l2_vectsp_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_15,plain,
    ! [X6154] :
      ( ( l1_rlvect_1(X6154)
        | ~ l3_vectsp_1(X6154) )
      & ( l2_vectsp_1(X6154)
        | ~ l3_vectsp_1(X6154) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_vectsp_1])])]) ).

fof(c_0_16,plain,
    ! [X1] :
      ( ( ~ v3_struct_0(X1)
        & v3_rlvect_1(X1)
        & v4_rlvect_1(X1)
        & v5_rlvect_1(X1)
        & v6_rlvect_1(X1)
        & v4_group_1(X1)
        & v6_vectsp_1(X1)
        & v7_vectsp_1(X1)
        & v8_vectsp_1(X1)
        & l3_vectsp_1(X1) )
     => ! [X2] :
          ( ( ~ v3_struct_0(X2)
            & v3_rlvect_1(X2)
            & v4_rlvect_1(X2)
            & v5_rlvect_1(X2)
            & v6_rlvect_1(X2)
            & v5_vectsp_2(X2,X1)
            & l1_vectsp_2(X2,X1) )
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(X2))
             => ! [X4] :
                  ( m1_subset_1(X4,u1_struct_0(X2))
                 => ( v1_rmod_5(k8_rlvect_2(X2,X3,X4),X1,X2)
                   => ( k1_rlvect_1(X1) = k2_group_1(X1)
                      | ( X3 != k1_rlvect_1(X2)
                        & X4 != k1_rlvect_1(X2) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[t5_rmod_5]) ).

fof(c_0_17,plain,
    ! [X5238] :
      ( ~ l2_struct_0(X5238)
      | m1_subset_1(k1_rlvect_1(X5238),u1_struct_0(X5238)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_rlvect_1])]) ).

fof(c_0_18,plain,
    ! [X5237] :
      ( ~ l1_rlvect_1(X5237)
      | l2_struct_0(X5237) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1])]) ).

cnf(c_0_19,plain,
    ( l1_rlvect_1(X2)
    | ~ l1_struct_0(X1)
    | ~ l1_vectsp_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_20,negated_conjecture,
    l1_vectsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_21,plain,
    ( l1_struct_0(X1)
    | ~ l2_vectsp_1(X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_22,plain,
    ( l2_vectsp_1(X1)
    | ~ l3_vectsp_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_23,plain,
    ! [X32,X33,X34,X35] :
      ( ( X34 != k1_rlvect_1(X33)
        | k1_rlvect_1(X32) = k2_group_1(X32)
        | ~ v1_rmod_5(k8_rlvect_2(X33,X34,X35),X32,X33)
        | ~ m1_subset_1(X35,u1_struct_0(X33))
        | ~ m1_subset_1(X34,u1_struct_0(X33))
        | v3_struct_0(X33)
        | ~ v3_rlvect_1(X33)
        | ~ v4_rlvect_1(X33)
        | ~ v5_rlvect_1(X33)
        | ~ v6_rlvect_1(X33)
        | ~ v5_vectsp_2(X33,X32)
        | ~ l1_vectsp_2(X33,X32)
        | v3_struct_0(X32)
        | ~ v3_rlvect_1(X32)
        | ~ v4_rlvect_1(X32)
        | ~ v5_rlvect_1(X32)
        | ~ v6_rlvect_1(X32)
        | ~ v4_group_1(X32)
        | ~ v6_vectsp_1(X32)
        | ~ v7_vectsp_1(X32)
        | ~ v8_vectsp_1(X32)
        | ~ l3_vectsp_1(X32) )
      & ( X35 != k1_rlvect_1(X33)
        | k1_rlvect_1(X32) = k2_group_1(X32)
        | ~ v1_rmod_5(k8_rlvect_2(X33,X34,X35),X32,X33)
        | ~ m1_subset_1(X35,u1_struct_0(X33))
        | ~ m1_subset_1(X34,u1_struct_0(X33))
        | v3_struct_0(X33)
        | ~ v3_rlvect_1(X33)
        | ~ v4_rlvect_1(X33)
        | ~ v5_rlvect_1(X33)
        | ~ v6_rlvect_1(X33)
        | ~ v5_vectsp_2(X33,X32)
        | ~ l1_vectsp_2(X33,X32)
        | v3_struct_0(X32)
        | ~ v3_rlvect_1(X32)
        | ~ v4_rlvect_1(X32)
        | ~ v5_rlvect_1(X32)
        | ~ v6_rlvect_1(X32)
        | ~ v4_group_1(X32)
        | ~ v6_vectsp_1(X32)
        | ~ v7_vectsp_1(X32)
        | ~ v8_vectsp_1(X32)
        | ~ l3_vectsp_1(X32) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).

cnf(c_0_24,plain,
    ( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
    | ~ l2_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    ( l2_struct_0(X1)
    | ~ l1_rlvect_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,negated_conjecture,
    ( l1_rlvect_1(esk2_0)
    | ~ l1_struct_0(esk1_0) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_27,plain,
    ( l1_struct_0(X1)
    | ~ l3_vectsp_1(X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,negated_conjecture,
    l3_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_29,plain,
    ( k1_rlvect_1(X3) = k2_group_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | X1 != k1_rlvect_1(X2)
    | ~ v1_rmod_5(k8_rlvect_2(X2,X1,X4),X3,X2)
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ m1_subset_1(X1,u1_struct_0(X2))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ l3_vectsp_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,plain,
    ( m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
    | ~ l1_rlvect_1(X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_31,negated_conjecture,
    l1_rlvect_1(esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).

cnf(c_0_32,plain,
    ( k1_rlvect_1(X3) = k2_group_1(X3)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | X1 != k1_rlvect_1(X2)
    | ~ v1_rmod_5(k8_rlvect_2(X2,X4,X1),X3,X2)
    | ~ m1_subset_1(X1,u1_struct_0(X2))
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ v3_rlvect_1(X2)
    | ~ v4_rlvect_1(X2)
    | ~ v5_rlvect_1(X2)
    | ~ v6_rlvect_1(X2)
    | ~ v5_vectsp_2(X2,X3)
    | ~ l1_vectsp_2(X2,X3)
    | ~ v3_rlvect_1(X3)
    | ~ v4_rlvect_1(X3)
    | ~ v5_rlvect_1(X3)
    | ~ v6_rlvect_1(X3)
    | ~ v4_group_1(X3)
    | ~ v6_vectsp_1(X3)
    | ~ v7_vectsp_1(X3)
    | ~ v8_vectsp_1(X3)
    | ~ l3_vectsp_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,plain,
    ( k2_group_1(X1) = k1_rlvect_1(X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ v1_rmod_5(k8_rlvect_2(X2,k1_rlvect_1(X2),X3),X1,X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X2)) ),
    inference(er,[status(thm)],[c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    ( v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0)
    | v1_rmod_5(k8_rlvect_2(esk2_0,k1_rlvect_1(esk2_0),esk3_0),esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_35,negated_conjecture,
    v5_vectsp_2(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_36,negated_conjecture,
    v8_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_37,negated_conjecture,
    v7_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_38,negated_conjecture,
    v6_vectsp_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_39,negated_conjecture,
    v4_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_40,negated_conjecture,
    v6_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_41,negated_conjecture,
    v6_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_42,negated_conjecture,
    v5_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_43,negated_conjecture,
    v5_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_44,negated_conjecture,
    v4_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_45,negated_conjecture,
    v4_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_46,negated_conjecture,
    v3_rlvect_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_47,negated_conjecture,
    v3_rlvect_1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_48,negated_conjecture,
    m1_subset_1(k1_rlvect_1(esk2_0),u1_struct_0(esk2_0)),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_49,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_50,negated_conjecture,
    k1_rlvect_1(esk1_0) != k2_group_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_51,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_52,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_53,plain,
    ( k2_group_1(X1) = k1_rlvect_1(X1)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ v1_rmod_5(k8_rlvect_2(X2,X3,k1_rlvect_1(X2)),X1,X2)
    | ~ v5_vectsp_2(X2,X1)
    | ~ l1_vectsp_2(X2,X1)
    | ~ v8_vectsp_1(X1)
    | ~ v7_vectsp_1(X1)
    | ~ v6_vectsp_1(X1)
    | ~ l3_vectsp_1(X1)
    | ~ v4_group_1(X1)
    | ~ v6_rlvect_1(X1)
    | ~ v6_rlvect_1(X2)
    | ~ v5_rlvect_1(X1)
    | ~ v5_rlvect_1(X2)
    | ~ v4_rlvect_1(X1)
    | ~ v4_rlvect_1(X2)
    | ~ v3_rlvect_1(X1)
    | ~ v3_rlvect_1(X2)
    | ~ m1_subset_1(k1_rlvect_1(X2),u1_struct_0(X2))
    | ~ m1_subset_1(X3,u1_struct_0(X2)) ),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_54,negated_conjecture,
    v1_rmod_5(k8_rlvect_2(esk2_0,esk3_0,k1_rlvect_1(esk2_0)),esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_20]),c_0_36]),c_0_37]),c_0_38]),c_0_28]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]),c_0_50]),c_0_51]),c_0_52]) ).

cnf(c_0_55,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_35]),c_0_20]),c_0_36]),c_0_37]),c_0_38]),c_0_28]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49])]),c_0_50]),c_0_51]),c_0_52]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : ALG216+2 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32  % Computer : n010.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Aug 28 03:28:04 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.16/0.52  start to proof: theBenchmark
% 39.74/40.28  % Version  : CSE_E---1.5
% 39.74/40.28  % Problem  : theBenchmark.p
% 39.74/40.28  % Proof found
% 39.74/40.28  % SZS status Theorem for theBenchmark.p
% 39.74/40.28  % SZS output start Proof
% See solution above
% 39.86/40.31  % Total time : 39.213000 s
% 39.86/40.31  % SZS output end Proof
% 39.86/40.31  % Total time : 39.291000 s
%------------------------------------------------------------------------------