TSTP Solution File: LAT345+2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LAT345+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 : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 06:01:43 EDT 2023

% Result   : Theorem 92.28s 92.43s
% Output   : CNFRefutation 92.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      : 1220
% Syntax   : Number of formulae    : 1290 (  17 unt;1211 typ;   0 def)
%            Number of atoms       :  325 (  53 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  375 ( 129   ~; 151   |;  70   &)
%                                         (   2 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 2108 (1013   >;1095   *;   0   +;   0  <<)
%            Number of predicates  :  399 ( 397 usr;   1 prp; 0-4 aty)
%            Number of functors    :  814 ( 814 usr; 198 con; 0-9 aty)
%            Number of variables   :   73 (   0 sgn;  43   !;   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,
    k7_setfam_1: ( $i * $i ) > $i ).

tff(decl_79,type,
    v1_setfam_1: $i > $o ).

tff(decl_80,type,
    v2_setfam_1: $i > $o ).

tff(decl_81,type,
    k1_setfam_1: $i > $i ).

tff(decl_82,type,
    r1_setfam_1: ( $i * $i ) > $o ).

tff(decl_83,type,
    r2_setfam_1: ( $i * $i ) > $o ).

tff(decl_84,type,
    k2_setfam_1: ( $i * $i ) > $i ).

tff(decl_85,type,
    k3_setfam_1: ( $i * $i ) > $i ).

tff(decl_86,type,
    k4_setfam_1: ( $i * $i ) > $i ).

tff(decl_87,type,
    k5_setfam_1: ( $i * $i ) > $i ).

tff(decl_88,type,
    k6_setfam_1: ( $i * $i ) > $i ).

tff(decl_89,type,
    k8_setfam_1: ( $i * $i ) > $i ).

tff(decl_90,type,
    v1_relat_1: $i > $o ).

tff(decl_91,type,
    k1_relat_1: $i > $i ).

tff(decl_92,type,
    k2_relat_1: $i > $i ).

tff(decl_93,type,
    k5_relat_1: ( $i * $i ) > $i ).

tff(decl_94,type,
    k4_relat_1: $i > $i ).

tff(decl_95,type,
    v3_relat_1: $i > $o ).

tff(decl_96,type,
    k7_relat_1: ( $i * $i ) > $i ).

tff(decl_97,type,
    k3_relat_1: $i > $i ).

tff(decl_98,type,
    v2_relat_1: $i > $o ).

tff(decl_99,type,
    k6_relat_1: $i > $i ).

tff(decl_100,type,
    k8_relat_1: ( $i * $i ) > $i ).

tff(decl_101,type,
    k9_relat_1: ( $i * $i ) > $i ).

tff(decl_102,type,
    k10_relat_1: ( $i * $i ) > $i ).

tff(decl_103,type,
    f1_s1_relat_1: $i ).

tff(decl_104,type,
    f2_s1_relat_1: $i ).

tff(decl_105,type,
    p1_s1_relat_1: ( $i * $i ) > $o ).

tff(decl_106,type,
    v1_funct_1: $i > $o ).

tff(decl_107,type,
    v2_funct_1: $i > $o ).

tff(decl_108,type,
    k1_funct_1: ( $i * $i ) > $i ).

tff(decl_109,type,
    k2_funct_1: $i > $i ).

tff(decl_110,type,
    p1_s1_funct_1: ( $i * $i ) > $o ).

tff(decl_111,type,
    f1_s1_funct_1: $i ).

tff(decl_112,type,
    f1_s2_funct_1: $i ).

tff(decl_113,type,
    p1_s2_funct_1: ( $i * $i ) > $o ).

tff(decl_114,type,
    f1_s3_funct_1: $i ).

tff(decl_115,type,
    f2_s3_funct_1: $i > $i ).

tff(decl_116,type,
    f1_s4_funct_1: $i ).

tff(decl_117,type,
    f2_s4_funct_1: $i > $i ).

tff(decl_118,type,
    r1_relat_2: ( $i * $i ) > $o ).

tff(decl_119,type,
    r2_relat_2: ( $i * $i ) > $o ).

tff(decl_120,type,
    r3_relat_2: ( $i * $i ) > $o ).

tff(decl_121,type,
    r4_relat_2: ( $i * $i ) > $o ).

tff(decl_122,type,
    r5_relat_2: ( $i * $i ) > $o ).

tff(decl_123,type,
    r6_relat_2: ( $i * $i ) > $o ).

tff(decl_124,type,
    r7_relat_2: ( $i * $i ) > $o ).

tff(decl_125,type,
    r8_relat_2: ( $i * $i ) > $o ).

tff(decl_126,type,
    v1_relat_2: $i > $o ).

tff(decl_127,type,
    v2_relat_2: $i > $o ).

tff(decl_128,type,
    v3_relat_2: $i > $o ).

tff(decl_129,type,
    v4_relat_2: $i > $o ).

tff(decl_130,type,
    v5_relat_2: $i > $o ).

tff(decl_131,type,
    v6_relat_2: $i > $o ).

tff(decl_132,type,
    v7_relat_2: $i > $o ).

tff(decl_133,type,
    v8_relat_2: $i > $o ).

tff(decl_134,type,
    k1_ordinal1: $i > $i ).

tff(decl_135,type,
    v3_ordinal1: $i > $o ).

tff(decl_136,type,
    v1_ordinal1: $i > $o ).

tff(decl_137,type,
    v2_ordinal1: $i > $o ).

tff(decl_138,type,
    v5_ordinal1: $i > $o ).

tff(decl_139,type,
    r1_ordinal1: ( $i * $i ) > $o ).

tff(decl_140,type,
    v4_ordinal1: $i > $o ).

tff(decl_141,type,
    m1_ordinal1: ( $i * $i ) > $o ).

tff(decl_142,type,
    k2_ordinal1: ( $i * $i ) > $i ).

tff(decl_143,type,
    v6_ordinal1: $i > $o ).

tff(decl_144,type,
    p1_s1_ordinal1: $i > $o ).

tff(decl_145,type,
    p1_s2_ordinal1: $i > $o ).

tff(decl_146,type,
    f3_s3_ordinal1: $i ).

tff(decl_147,type,
    f1_s3_ordinal1: $i ).

tff(decl_148,type,
    f2_s3_ordinal1: $i > $i ).

tff(decl_149,type,
    f4_s3_ordinal1: $i ).

tff(decl_150,type,
    f1_s4_ordinal1: $i ).

tff(decl_151,type,
    f2_s4_ordinal1: $i > $i ).

tff(decl_152,type,
    f2_s5_ordinal1: $i > $i ).

tff(decl_153,type,
    f3_s5_ordinal1: $i > $i ).

tff(decl_154,type,
    f1_s5_ordinal1: $i ).

tff(decl_155,type,
    m1_relset_1: ( $i * $i * $i ) > $o ).

tff(decl_156,type,
    m2_relset_1: ( $i * $i * $i ) > $o ).

tff(decl_157,type,
    k4_relset_1: ( $i * $i * $i ) > $i ).

tff(decl_158,type,
    k5_relset_1: ( $i * $i * $i ) > $i ).

tff(decl_159,type,
    k6_relset_1: ( $i * $i * $i ) > $i ).

tff(decl_160,type,
    k8_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_161,type,
    k9_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_162,type,
    k10_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_163,type,
    k11_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_164,type,
    k7_relset_1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_165,type,
    f1_s1_relset_1: $i ).

tff(decl_166,type,
    f2_s1_relset_1: $i ).

tff(decl_167,type,
    p1_s1_relset_1: ( $i * $i ) > $o ).

tff(decl_168,type,
    f1_s2_relset_1: $i ).

tff(decl_169,type,
    f2_s2_relset_1: $i ).

tff(decl_170,type,
    p1_s2_relset_1: ( $i * $i ) > $o ).

tff(decl_171,type,
    k1_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_172,type,
    k2_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_173,type,
    k3_relset_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_174,type,
    k4_partfun1: ( $i * $i ) > $i ).

tff(decl_175,type,
    v1_partfun1: ( $i * $i * $i ) > $o ).

tff(decl_176,type,
    k3_partfun1: ( $i * $i * $i ) > $i ).

tff(decl_177,type,
    k1_partfun1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_178,type,
    k2_partfun1: ( $i * $i * $i * $i ) > $i ).

tff(decl_179,type,
    r1_partfun1: ( $i * $i ) > $o ).

tff(decl_180,type,
    k5_partfun1: ( $i * $i * $i ) > $i ).

tff(decl_181,type,
    f1_s1_partfun1: $i ).

tff(decl_182,type,
    p1_s1_partfun1: $i > $o ).

tff(decl_183,type,
    f2_s1_partfun1: $i > $i ).

tff(decl_184,type,
    f3_s1_partfun1: $i > $i ).

tff(decl_185,type,
    f1_s2_partfun1: $i ).

tff(decl_186,type,
    p1_s2_partfun1: ( $i * $i ) > $o ).

tff(decl_187,type,
    f2_s2_partfun1: $i ).

tff(decl_188,type,
    p1_s3_partfun1: $i > $o ).

tff(decl_189,type,
    f3_s3_partfun1: $i > $i ).

tff(decl_190,type,
    f2_s3_partfun1: $i ).

tff(decl_191,type,
    f1_s3_partfun1: $i ).

tff(decl_192,type,
    f1_s4_partfun1: $i ).

tff(decl_193,type,
    f2_s4_partfun1: $i ).

tff(decl_194,type,
    p1_s4_partfun1: ( $i * $i * $i ) > $o ).

tff(decl_195,type,
    f3_s4_partfun1: $i ).

tff(decl_196,type,
    p1_s5_partfun1: ( $i * $i ) > $o ).

tff(decl_197,type,
    f4_s5_partfun1: ( $i * $i ) > $i ).

tff(decl_198,type,
    f3_s5_partfun1: $i ).

tff(decl_199,type,
    f1_s5_partfun1: $i ).

tff(decl_200,type,
    f2_s5_partfun1: $i ).

tff(decl_201,type,
    k6_partfun1: $i > $i ).

tff(decl_202,type,
    k1_mcart_1: $i > $i ).

tff(decl_203,type,
    k2_mcart_1: $i > $i ).

tff(decl_204,type,
    k3_mcart_1: ( $i * $i * $i ) > $i ).

tff(decl_205,type,
    k4_mcart_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_206,type,
    k5_mcart_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_207,type,
    k6_mcart_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_208,type,
    k7_mcart_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_209,type,
    k8_mcart_1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_210,type,
    k9_mcart_1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_211,type,
    k10_mcart_1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_212,type,
    k11_mcart_1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_213,type,
    k15_mcart_1: $i > $i ).

tff(decl_214,type,
    k16_mcart_1: $i > $i ).

tff(decl_215,type,
    k17_mcart_1: $i > $i ).

tff(decl_216,type,
    k18_mcart_1: $i > $i ).

tff(decl_217,type,
    k19_mcart_1: $i > $i ).

tff(decl_218,type,
    k20_mcart_1: $i > $i ).

tff(decl_219,type,
    k12_mcart_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_220,type,
    k13_mcart_1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_221,type,
    k14_mcart_1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_222,type,
    k1_wellord2: $i > $i ).

tff(decl_223,type,
    v1_wellord1: $i > $o ).

tff(decl_224,type,
    v2_wellord1: $i > $o ).

tff(decl_225,type,
    k2_wellord1: ( $i * $i ) > $i ).

tff(decl_226,type,
    k1_wellord1: ( $i * $i ) > $i ).

tff(decl_227,type,
    r4_wellord1: ( $i * $i ) > $o ).

tff(decl_228,type,
    k2_wellord2: $i > $i ).

tff(decl_229,type,
    r1_wellord2: ( $i * $i ) > $o ).

tff(decl_230,type,
    r2_wellord2: ( $i * $i ) > $o ).

tff(decl_231,type,
    r2_wellord1: ( $i * $i ) > $o ).

tff(decl_232,type,
    f1_s1_wellord2: $i ).

tff(decl_233,type,
    f2_s1_wellord2: $i ).

tff(decl_234,type,
    p1_s1_wellord2: ( $i * $i ) > $o ).

tff(decl_235,type,
    f1_s2_wellord2: $i ).

tff(decl_236,type,
    f2_s2_wellord2: $i ).

tff(decl_237,type,
    f3_s2_wellord2: $i ).

tff(decl_238,type,
    p1_s2_wellord2: ( $i * $i * $i ) > $o ).

tff(decl_239,type,
    v1_funct_2: ( $i * $i * $i ) > $o ).

tff(decl_240,type,
    k1_funct_2: ( $i * $i ) > $i ).

tff(decl_241,type,
    v3_funct_2: ( $i * $i * $i ) > $o ).

tff(decl_242,type,
    v2_funct_2: ( $i * $i * $i ) > $o ).

tff(decl_243,type,
    k2_funct_2: ( $i * $i * $i * $i ) > $i ).

tff(decl_244,type,
    k3_funct_2: ( $i * $i * $i * $i ) > $i ).

tff(decl_245,type,
    k4_funct_2: ( $i * $i * $i ) > $i ).

tff(decl_246,type,
    k5_funct_2: ( $i * $i * $i ) > $i ).

tff(decl_247,type,
    k6_funct_2: ( $i * $i ) > $i ).

tff(decl_248,type,
    k9_funct_2: ( $i * $i * $i ) > $i ).

tff(decl_249,type,
    f1_s1_funct_2: $i ).

tff(decl_250,type,
    f2_s1_funct_2: $i ).

tff(decl_251,type,
    p1_s1_funct_2: ( $i * $i ) > $o ).

tff(decl_252,type,
    f1_s2_funct_2: $i ).

tff(decl_253,type,
    f3_s2_funct_2: $i > $i ).

tff(decl_254,type,
    f2_s2_funct_2: $i ).

tff(decl_255,type,
    f1_s3_funct_2: $i ).

tff(decl_256,type,
    f2_s3_funct_2: $i ).

tff(decl_257,type,
    p1_s3_funct_2: ( $i * $i ) > $o ).

tff(decl_258,type,
    k8_funct_2: ( $i * $i * $i * $i ) > $i ).

tff(decl_259,type,
    f1_s4_funct_2: $i ).

tff(decl_260,type,
    f2_s4_funct_2: $i ).

tff(decl_261,type,
    f3_s4_funct_2: $i > $i ).

tff(decl_262,type,
    f1_s5_funct_2: $i ).

tff(decl_263,type,
    f2_s5_funct_2: $i ).

tff(decl_264,type,
    f3_s5_funct_2: $i ).

tff(decl_265,type,
    p1_s5_funct_2: ( $i * $i * $i ) > $o ).

tff(decl_266,type,
    f1_s6_funct_2: $i ).

tff(decl_267,type,
    f2_s6_funct_2: $i ).

tff(decl_268,type,
    f4_s6_funct_2: ( $i * $i ) > $i ).

tff(decl_269,type,
    f3_s6_funct_2: $i ).

tff(decl_270,type,
    f1_s7_funct_2: $i ).

tff(decl_271,type,
    f2_s7_funct_2: $i ).

tff(decl_272,type,
    f3_s7_funct_2: $i ).

tff(decl_273,type,
    p1_s7_funct_2: ( $i * $i * $i ) > $o ).

tff(decl_274,type,
    f1_s8_funct_2: $i ).

tff(decl_275,type,
    f2_s8_funct_2: $i ).

tff(decl_276,type,
    f3_s8_funct_2: $i ).

tff(decl_277,type,
    f4_s8_funct_2: ( $i * $i ) > $i ).

tff(decl_278,type,
    f1_s9_funct_2: $i ).

tff(decl_279,type,
    p1_s9_funct_2: $i > $o ).

tff(decl_280,type,
    f3_s9_funct_2: $i > $i ).

tff(decl_281,type,
    f2_s9_funct_2: $i ).

tff(decl_282,type,
    f4_s9_funct_2: $i > $i ).

tff(decl_283,type,
    f1_s10_funct_2: $i ).

tff(decl_284,type,
    f2_s10_funct_2: $i ).

tff(decl_285,type,
    f3_s10_funct_2: $i ).

tff(decl_286,type,
    f4_s10_funct_2: $i ).

tff(decl_287,type,
    f5_s10_funct_2: $i > $i ).

tff(decl_288,type,
    f3_s11_funct_2: $i ).

tff(decl_289,type,
    f4_s11_funct_2: $i ).

tff(decl_290,type,
    f1_s11_funct_2: $i ).

tff(decl_291,type,
    f2_s11_funct_2: $i ).

tff(decl_292,type,
    f5_s11_funct_2: $i ).

tff(decl_293,type,
    f6_s11_funct_2: $i ).

tff(decl_294,type,
    f7_s11_funct_2: $i > $i ).

tff(decl_295,type,
    f1_s12_funct_2: $i ).

tff(decl_296,type,
    f3_s12_funct_2: $i > $i ).

tff(decl_297,type,
    f2_s12_funct_2: $i ).

tff(decl_298,type,
    f1_s13_funct_2: $i ).

tff(decl_299,type,
    f3_s13_funct_2: $i > $i ).

tff(decl_300,type,
    f2_s13_funct_2: $i ).

tff(decl_301,type,
    f1_s14_funct_2: $i ).

tff(decl_302,type,
    f2_s14_funct_2: $i ).

tff(decl_303,type,
    p1_s14_funct_2: ( $i * $i ) > $o ).

tff(decl_304,type,
    k7_funct_2: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_305,type,
    k4_domain_1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_306,type,
    k5_domain_1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_307,type,
    k1_domain_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_308,type,
    k2_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_309,type,
    k3_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_310,type,
    k6_domain_1: ( $i * $i ) > $i ).

tff(decl_311,type,
    k7_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_312,type,
    k8_domain_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_313,type,
    k9_domain_1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_314,type,
    k10_domain_1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_315,type,
    k11_domain_1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_316,type,
    k12_domain_1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_317,type,
    k13_domain_1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_318,type,
    k14_domain_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_319,type,
    k15_domain_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_320,type,
    k16_domain_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_321,type,
    k17_domain_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_322,type,
    a_1_0_domain_1: $i > $i ).

tff(decl_323,type,
    a_2_0_domain_1: ( $i * $i ) > $i ).

tff(decl_324,type,
    a_3_0_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_325,type,
    a_4_0_domain_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_326,type,
    a_2_1_domain_1: ( $i * $i ) > $i ).

tff(decl_327,type,
    a_4_1_domain_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_328,type,
    a_6_0_domain_1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_329,type,
    a_8_0_domain_1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_330,type,
    a_1_1_domain_1: $i > $i ).

tff(decl_331,type,
    a_2_2_domain_1: ( $i * $i ) > $i ).

tff(decl_332,type,
    a_3_1_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_333,type,
    a_3_2_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_334,type,
    a_3_3_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_335,type,
    a_3_4_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_336,type,
    a_3_5_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_337,type,
    a_3_6_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_338,type,
    a_3_7_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_339,type,
    a_1_2_domain_1: $i > $i ).

tff(decl_340,type,
    a_2_3_domain_1: ( $i * $i ) > $i ).

tff(decl_341,type,
    a_3_8_domain_1: ( $i * $i * $i ) > $i ).

tff(decl_342,type,
    a_4_2_domain_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_343,type,
    p1_s5_domain_1: $i > $o ).

tff(decl_344,type,
    p2_s5_domain_1: $i > $o ).

tff(decl_345,type,
    a_1_3_domain_1: $i > $i ).

tff(decl_346,type,
    a_1_4_domain_1: $i > $i ).

tff(decl_347,type,
    p1_s6_domain_1: $i > $o ).

tff(decl_348,type,
    p2_s6_domain_1: $i > $o ).

tff(decl_349,type,
    a_1_5_domain_1: $i > $i ).

tff(decl_350,type,
    a_1_6_domain_1: $i > $i ).

tff(decl_351,type,
    a_0_0_domain_1: $i ).

tff(decl_352,type,
    f1_s7_domain_1: $i ).

tff(decl_353,type,
    a_0_1_domain_1: $i ).

tff(decl_354,type,
    f2_s8_domain_1: $i ).

tff(decl_355,type,
    a_0_2_domain_1: $i ).

tff(decl_356,type,
    f3_s9_domain_1: $i ).

tff(decl_357,type,
    a_0_3_domain_1: $i ).

tff(decl_358,type,
    a_0_4_domain_1: $i ).

tff(decl_359,type,
    a_0_5_domain_1: $i ).

tff(decl_360,type,
    p1_s1_domain_1: $i > $o ).

tff(decl_361,type,
    p1_s2_domain_1: ( $i * $i ) > $o ).

tff(decl_362,type,
    p1_s3_domain_1: ( $i * $i * $i ) > $o ).

tff(decl_363,type,
    p1_s4_domain_1: ( $i * $i * $i * $i ) > $o ).

tff(decl_364,type,
    p1_s7_domain_1: $i > $o ).

tff(decl_365,type,
    f1_s8_domain_1: $i ).

tff(decl_366,type,
    f3_s8_domain_1: $i > $i ).

tff(decl_367,type,
    p1_s8_domain_1: $i > $o ).

tff(decl_368,type,
    f1_s9_domain_1: $i ).

tff(decl_369,type,
    f2_s9_domain_1: $i ).

tff(decl_370,type,
    f4_s9_domain_1: ( $i * $i ) > $i ).

tff(decl_371,type,
    p1_s9_domain_1: ( $i * $i ) > $o ).

tff(decl_372,type,
    f1_s10_domain_1: $i ).

tff(decl_373,type,
    p1_s10_domain_1: $i > $o ).

tff(decl_374,type,
    p2_s10_domain_1: $i > $o ).

tff(decl_375,type,
    k2_funcop_1: ( $i * $i ) > $i ).

tff(decl_376,type,
    k3_funcop_1: ( $i * $i * $i ) > $i ).

tff(decl_377,type,
    k4_funcop_1: ( $i * $i * $i ) > $i ).

tff(decl_378,type,
    k5_funcop_1: ( $i * $i * $i ) > $i ).

tff(decl_379,type,
    v1_funcop_1: $i > $o ).

tff(decl_380,type,
    k12_funct_3: $i > $i ).

tff(decl_381,type,
    k13_funct_3: ( $i * $i ) > $i ).

tff(decl_382,type,
    k1_funcop_1: $i > $i ).

tff(decl_383,type,
    k1_binop_1: ( $i * $i * $i ) > $i ).

tff(decl_384,type,
    k6_funcop_1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_385,type,
    k2_binop_1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_386,type,
    k7_funcop_1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_387,type,
    k8_funcop_1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_388,type,
    k10_funcop_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_389,type,
    k9_funcop_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_390,type,
    v2_binop_1: ( $i * $i ) > $o ).

tff(decl_391,type,
    v1_binop_1: ( $i * $i ) > $o ).

tff(decl_392,type,
    v3_binop_1: ( $i * $i ) > $o ).

tff(decl_393,type,
    k4_funct_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_394,type,
    k1_funct_4: ( $i * $i ) > $i ).

tff(decl_395,type,
    k2_funct_4: $i > $i ).

tff(decl_396,type,
    k3_funct_4: ( $i * $i ) > $i ).

tff(decl_397,type,
    k5_funct_4: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_398,type,
    k5_ordinal2: $i ).

tff(decl_399,type,
    v1_ordinal2: $i > $o ).

tff(decl_400,type,
    k1_ordinal2: $i > $i ).

tff(decl_401,type,
    k2_ordinal2: $i > $i ).

tff(decl_402,type,
    k3_ordinal2: $i > $i ).

tff(decl_403,type,
    k4_ordinal2: $i ).

tff(decl_404,type,
    k6_ordinal2: $i > $i ).

tff(decl_405,type,
    k7_ordinal2: $i > $i ).

tff(decl_406,type,
    k8_ordinal2: $i > $i ).

tff(decl_407,type,
    k9_ordinal2: $i > $i ).

tff(decl_408,type,
    k10_ordinal2: $i > $i ).

tff(decl_409,type,
    k11_ordinal2: $i > $i ).

tff(decl_410,type,
    r1_ordinal2: ( $i * $i ) > $o ).

tff(decl_411,type,
    k12_ordinal2: $i > $i ).

tff(decl_412,type,
    k13_ordinal2: ( $i * $i ) > $i ).

tff(decl_413,type,
    v2_ordinal2: $i > $o ).

tff(decl_414,type,
    v3_ordinal2: $i > $o ).

tff(decl_415,type,
    k14_ordinal2: ( $i * $i ) > $i ).

tff(decl_416,type,
    k15_ordinal2: ( $i * $i ) > $i ).

tff(decl_417,type,
    k16_ordinal2: ( $i * $i ) > $i ).

tff(decl_418,type,
    v4_ordinal2: $i > $o ).

tff(decl_419,type,
    p1_s1_ordinal2: $i > $o ).

tff(decl_420,type,
    f1_s2_ordinal2: $i ).

tff(decl_421,type,
    f2_s2_ordinal2: $i > $i ).

tff(decl_422,type,
    f1_s3_ordinal2: $i ).

tff(decl_423,type,
    f2_s3_ordinal2: $i > $i ).

tff(decl_424,type,
    f5_s4_ordinal2: $i ).

tff(decl_425,type,
    f1_s4_ordinal2: $i ).

tff(decl_426,type,
    f2_s4_ordinal2: $i ).

tff(decl_427,type,
    f3_s4_ordinal2: ( $i * $i ) > $i ).

tff(decl_428,type,
    f4_s4_ordinal2: ( $i * $i ) > $i ).

tff(decl_429,type,
    f6_s4_ordinal2: $i ).

tff(decl_430,type,
    f1_s5_ordinal2: $i ).

tff(decl_431,type,
    f2_s5_ordinal2: $i ).

tff(decl_432,type,
    f3_s5_ordinal2: ( $i * $i ) > $i ).

tff(decl_433,type,
    f4_s5_ordinal2: ( $i * $i ) > $i ).

tff(decl_434,type,
    f2_s6_ordinal2: $i > $i ).

tff(decl_435,type,
    f4_s6_ordinal2: $i ).

tff(decl_436,type,
    f5_s6_ordinal2: ( $i * $i ) > $i ).

tff(decl_437,type,
    f6_s6_ordinal2: ( $i * $i ) > $i ).

tff(decl_438,type,
    f1_s6_ordinal2: $i ).

tff(decl_439,type,
    f3_s6_ordinal2: $i ).

tff(decl_440,type,
    f1_s7_ordinal2: $i ).

tff(decl_441,type,
    f2_s7_ordinal2: $i ).

tff(decl_442,type,
    f3_s7_ordinal2: ( $i * $i ) > $i ).

tff(decl_443,type,
    f4_s7_ordinal2: ( $i * $i ) > $i ).

tff(decl_444,type,
    f1_s8_ordinal2: $i > $i ).

tff(decl_445,type,
    f2_s8_ordinal2: $i ).

tff(decl_446,type,
    f3_s8_ordinal2: ( $i * $i ) > $i ).

tff(decl_447,type,
    f4_s8_ordinal2: ( $i * $i ) > $i ).

tff(decl_448,type,
    f4_s9_ordinal2: $i > $i ).

tff(decl_449,type,
    f1_s9_ordinal2: $i ).

tff(decl_450,type,
    f2_s9_ordinal2: ( $i * $i ) > $i ).

tff(decl_451,type,
    f3_s9_ordinal2: ( $i * $i ) > $i ).

tff(decl_452,type,
    f3_s10_ordinal2: $i > $i ).

tff(decl_453,type,
    f4_s10_ordinal2: $i ).

tff(decl_454,type,
    f5_s10_ordinal2: ( $i * $i ) > $i ).

tff(decl_455,type,
    f6_s10_ordinal2: ( $i * $i ) > $i ).

tff(decl_456,type,
    f2_s10_ordinal2: $i ).

tff(decl_457,type,
    f1_s10_ordinal2: $i ).

tff(decl_458,type,
    f1_s11_ordinal2: $i ).

tff(decl_459,type,
    f2_s11_ordinal2: $i ).

tff(decl_460,type,
    f3_s11_ordinal2: ( $i * $i ) > $i ).

tff(decl_461,type,
    f4_s11_ordinal2: ( $i * $i ) > $i ).

tff(decl_462,type,
    f2_s12_ordinal2: $i > $i ).

tff(decl_463,type,
    f4_s12_ordinal2: $i ).

tff(decl_464,type,
    f5_s12_ordinal2: ( $i * $i ) > $i ).

tff(decl_465,type,
    f6_s12_ordinal2: ( $i * $i ) > $i ).

tff(decl_466,type,
    f1_s12_ordinal2: $i ).

tff(decl_467,type,
    f3_s12_ordinal2: $i ).

tff(decl_468,type,
    f1_s13_ordinal2: $i ).

tff(decl_469,type,
    f2_s13_ordinal2: $i ).

tff(decl_470,type,
    f3_s13_ordinal2: ( $i * $i ) > $i ).

tff(decl_471,type,
    f4_s13_ordinal2: ( $i * $i ) > $i ).

tff(decl_472,type,
    f1_s14_ordinal2: $i > $i ).

tff(decl_473,type,
    f2_s14_ordinal2: $i ).

tff(decl_474,type,
    f3_s14_ordinal2: ( $i * $i ) > $i ).

tff(decl_475,type,
    f4_s14_ordinal2: ( $i * $i ) > $i ).

tff(decl_476,type,
    f4_s15_ordinal2: $i > $i ).

tff(decl_477,type,
    f1_s15_ordinal2: $i ).

tff(decl_478,type,
    f2_s15_ordinal2: ( $i * $i ) > $i ).

tff(decl_479,type,
    f3_s15_ordinal2: ( $i * $i ) > $i ).

tff(decl_480,type,
    f3_s16_ordinal2: $i > $i ).

tff(decl_481,type,
    f4_s16_ordinal2: $i ).

tff(decl_482,type,
    f5_s16_ordinal2: ( $i * $i ) > $i ).

tff(decl_483,type,
    f6_s16_ordinal2: ( $i * $i ) > $i ).

tff(decl_484,type,
    f2_s16_ordinal2: $i ).

tff(decl_485,type,
    f1_s16_ordinal2: $i ).

tff(decl_486,type,
    v1_finset_1: $i > $o ).

tff(decl_487,type,
    f1_s1_finset_1: $i ).

tff(decl_488,type,
    p1_s1_finset_1: $i > $o ).

tff(decl_489,type,
    f2_s1_finset_1: $i > $i ).

tff(decl_490,type,
    f3_s1_finset_1: $i > $i ).

tff(decl_491,type,
    f1_s2_finset_1: $i ).

tff(decl_492,type,
    p1_s2_finset_1: $i > $o ).

tff(decl_493,type,
    v4_finsub_1: $i > $o ).

tff(decl_494,type,
    v1_finsub_1: $i > $o ).

tff(decl_495,type,
    v3_finsub_1: $i > $o ).

tff(decl_496,type,
    v2_finsub_1: $i > $o ).

tff(decl_497,type,
    k5_finsub_1: $i > $i ).

tff(decl_498,type,
    k1_finsub_1: ( $i * $i * $i ) > $i ).

tff(decl_499,type,
    k2_finsub_1: ( $i * $i * $i ) > $i ).

tff(decl_500,type,
    k3_finsub_1: ( $i * $i * $i ) > $i ).

tff(decl_501,type,
    k4_finsub_1: ( $i * $i * $i ) > $i ).

tff(decl_502,type,
    k1_numbers: $i ).

tff(decl_503,type,
    k2_numbers: $i ).

tff(decl_504,type,
    k3_numbers: $i ).

tff(decl_505,type,
    k4_numbers: $i ).

tff(decl_506,type,
    k2_arytm_2: $i ).

tff(decl_507,type,
    np__0: $i ).

tff(decl_508,type,
    k6_arytm_3: $i ).

tff(decl_509,type,
    k5_numbers: $i ).

tff(decl_510,type,
    k13_arytm_3: $i ).

tff(decl_511,type,
    a_0_0_numbers: $i ).

tff(decl_512,type,
    v5_membered: $i > $o ).

tff(decl_513,type,
    v4_membered: $i > $o ).

tff(decl_514,type,
    v3_membered: $i > $o ).

tff(decl_515,type,
    v2_membered: $i > $o ).

tff(decl_516,type,
    v1_membered: $i > $o ).

tff(decl_517,type,
    v1_xcmplx_0: $i > $o ).

tff(decl_518,type,
    v1_xreal_0: $i > $o ).

tff(decl_519,type,
    v1_rat_1: $i > $o ).

tff(decl_520,type,
    v1_int_1: $i > $o ).

tff(decl_521,type,
    p1_s1_membered: $i > $o ).

tff(decl_522,type,
    p1_s2_membered: $i > $o ).

tff(decl_523,type,
    p1_s3_membered: $i > $o ).

tff(decl_524,type,
    p1_s4_membered: $i > $o ).

tff(decl_525,type,
    p1_s5_membered: $i > $o ).

tff(decl_526,type,
    v1_card_1: $i > $o ).

tff(decl_527,type,
    k3_card_1: $i > $i ).

tff(decl_528,type,
    v3_xreal_0: $i > $o ).

tff(decl_529,type,
    k1_card_1: $i > $i ).

tff(decl_530,type,
    k2_card_1: $i > $i ).

tff(decl_531,type,
    v2_card_1: $i > $o ).

tff(decl_532,type,
    np__1: $i ).

tff(decl_533,type,
    k1_nat_1: ( $i * $i ) > $i ).

tff(decl_534,type,
    r1_xreal_0: ( $i * $i ) > $o ).

tff(decl_535,type,
    k4_card_1: $i > $i ).

tff(decl_536,type,
    p1_s1_card_1: $i > $o ).

tff(decl_537,type,
    p1_s2_card_1: $i > $o ).

tff(decl_538,type,
    v1_finseq_1: $i > $o ).

tff(decl_539,type,
    k1_finseq_1: $i > $i ).

tff(decl_540,type,
    m1_finseq_1: ( $i * $i ) > $o ).

tff(decl_541,type,
    k5_finseq_1: $i > $i ).

tff(decl_542,type,
    k10_finseq_1: ( $i * $i ) > $i ).

tff(decl_543,type,
    k11_finseq_1: ( $i * $i * $i ) > $i ).

tff(decl_544,type,
    k13_finseq_1: $i > $i ).

tff(decl_545,type,
    v2_finseq_1: $i > $o ).

tff(decl_546,type,
    k15_finseq_1: $i > $i ).

tff(decl_547,type,
    k7_finseq_1: ( $i * $i ) > $i ).

tff(decl_548,type,
    k16_finseq_1: ( $i * $i * $i ) > $i ).

tff(decl_549,type,
    v1_fraenkel: $i > $o ).

tff(decl_550,type,
    k2_finseq_1: $i > $i ).

tff(decl_551,type,
    np__2: $i ).

tff(decl_552,type,
    k2_xcmplx_0: ( $i * $i ) > $i ).

tff(decl_553,type,
    k3_finseq_1: $i > $i ).

tff(decl_554,type,
    k4_finseq_1: $i > $i ).

tff(decl_555,type,
    m2_finseq_1: ( $i * $i ) > $o ).

tff(decl_556,type,
    k6_finseq_1: $i > $i ).

tff(decl_557,type,
    k6_xcmplx_0: ( $i * $i ) > $i ).

tff(decl_558,type,
    k9_finseq_1: $i > $i ).

tff(decl_559,type,
    np__3: $i ).

tff(decl_560,type,
    k14_finseq_1: $i > $i ).

tff(decl_561,type,
    k17_finseq_1: $i > $i ).

tff(decl_562,type,
    f1_s1_finseq_1: $i ).

tff(decl_563,type,
    p1_s1_finseq_1: ( $i * $i ) > $o ).

tff(decl_564,type,
    f1_s2_finseq_1: $i ).

tff(decl_565,type,
    f2_s2_finseq_1: $i > $i ).

tff(decl_566,type,
    p1_s3_finseq_1: $i > $o ).

tff(decl_567,type,
    f1_s4_finseq_1: $i ).

tff(decl_568,type,
    p1_s4_finseq_1: $i > $o ).

tff(decl_569,type,
    f2_s5_finseq_1: $i ).

tff(decl_570,type,
    f1_s5_finseq_1: $i ).

tff(decl_571,type,
    p1_s5_finseq_1: ( $i * $i ) > $o ).

tff(decl_572,type,
    k8_finseq_1: ( $i * $i * $i ) > $i ).

tff(decl_573,type,
    k12_finseq_1: ( $i * $i ) > $i ).

tff(decl_574,type,
    a_1_0_finseq_1: $i > $i ).

tff(decl_575,type,
    k1_orders_1: $i > $i ).

tff(decl_576,type,
    m1_orders_1: ( $i * $i ) > $o ).

tff(decl_577,type,
    v1_orders_1: $i > $o ).

tff(decl_578,type,
    v2_orders_1: $i > $o ).

tff(decl_579,type,
    v3_orders_1: $i > $o ).

tff(decl_580,type,
    r1_orders_1: ( $i * $i ) > $o ).

tff(decl_581,type,
    r2_orders_1: ( $i * $i ) > $o ).

tff(decl_582,type,
    r3_orders_1: ( $i * $i ) > $o ).

tff(decl_583,type,
    r4_orders_1: ( $i * $i ) > $o ).

tff(decl_584,type,
    r5_orders_1: ( $i * $i ) > $o ).

tff(decl_585,type,
    r6_orders_1: ( $i * $i ) > $o ).

tff(decl_586,type,
    r7_orders_1: ( $i * $i ) > $o ).

tff(decl_587,type,
    r8_orders_1: ( $i * $i ) > $o ).

tff(decl_588,type,
    r9_orders_1: ( $i * $i ) > $o ).

tff(decl_589,type,
    f1_s1_orders_1: $i ).

tff(decl_590,type,
    p1_s1_orders_1: ( $i * $i ) > $o ).

tff(decl_591,type,
    f1_s2_orders_1: $i ).

tff(decl_592,type,
    p1_s2_orders_1: ( $i * $i ) > $o ).

tff(decl_593,type,
    k1_eqrel_1: $i > $i ).

tff(decl_594,type,
    m1_eqrel_1: ( $i * $i ) > $o ).

tff(decl_595,type,
    k7_eqrel_1: ( $i * $i ) > $i ).

tff(decl_596,type,
    k4_eqrel_1: ( $i * $i * $i ) > $i ).

tff(decl_597,type,
    k2_eqrel_1: ( $i * $i * $i ) > $i ).

tff(decl_598,type,
    k5_eqrel_1: ( $i * $i * $i ) > $i ).

tff(decl_599,type,
    k3_eqrel_1: ( $i * $i * $i ) > $i ).

tff(decl_600,type,
    k6_eqrel_1: ( $i * $i * $i ) > $i ).

tff(decl_601,type,
    f1_s1_eqrel_1: $i ).

tff(decl_602,type,
    p1_s1_eqrel_1: ( $i * $i ) > $o ).

tff(decl_603,type,
    k8_eqrel_1: ( $i * $i ) > $i ).

tff(decl_604,type,
    m1_finseq_2: ( $i * $i ) > $o ).

tff(decl_605,type,
    k4_finseq_2: ( $i * $i ) > $i ).

tff(decl_606,type,
    k3_square_1: ( $i * $i ) > $i ).

tff(decl_607,type,
    k4_square_1: ( $i * $i ) > $i ).

tff(decl_608,type,
    k2_square_1: ( $i * $i ) > $i ).

tff(decl_609,type,
    k1_finseq_2: $i > $i ).

tff(decl_610,type,
    k2_finseq_2: ( $i * $i ) > $i ).

tff(decl_611,type,
    k3_finseq_2: $i > $i ).

tff(decl_612,type,
    m2_finseq_2: ( $i * $i * $i ) > $o ).

tff(decl_613,type,
    f2_s1_finseq_2: $i ).

tff(decl_614,type,
    f1_s1_finseq_2: $i ).

tff(decl_615,type,
    f3_s1_finseq_2: $i > $i ).

tff(decl_616,type,
    f1_s2_finseq_2: $i ).

tff(decl_617,type,
    p1_s2_finseq_2: $i > $o ).

tff(decl_618,type,
    a_2_0_finseq_2: ( $i * $i ) > $i ).

tff(decl_619,type,
    a_1_0_finseq_2: $i > $i ).

tff(decl_620,type,
    a_1_1_finseq_2: $i > $i ).

tff(decl_621,type,
    a_1_2_finseq_2: $i > $i ).

tff(decl_622,type,
    a_3_0_finseq_2: ( $i * $i * $i ) > $i ).

tff(decl_623,type,
    a_1_3_finseq_2: $i > $i ).

tff(decl_624,type,
    m1_pboole: ( $i * $i ) > $o ).

tff(decl_625,type,
    m3_pboole: ( $i * $i * $i * $i ) > $o ).

tff(decl_626,type,
    k6_pboole: ( $i * $i ) > $i ).

tff(decl_627,type,
    m4_pboole: ( $i * $i * $i ) > $o ).

tff(decl_628,type,
    k1_pboole: $i > $i ).

tff(decl_629,type,
    r1_pboole: ( $i * $i * $i ) > $o ).

tff(decl_630,type,
    r2_pboole: ( $i * $i * $i ) > $o ).

tff(decl_631,type,
    k2_pboole: ( $i * $i * $i ) > $i ).

tff(decl_632,type,
    k3_pboole: ( $i * $i * $i ) > $i ).

tff(decl_633,type,
    k4_pboole: ( $i * $i * $i ) > $i ).

tff(decl_634,type,
    r4_pboole: ( $i * $i * $i ) > $o ).

tff(decl_635,type,
    r5_pboole: ( $i * $i * $i ) > $o ).

tff(decl_636,type,
    k5_pboole: ( $i * $i * $i ) > $i ).

tff(decl_637,type,
    r6_pboole: ( $i * $i * $i ) > $o ).

tff(decl_638,type,
    r7_pboole: ( $i * $i * $i ) > $o ).

tff(decl_639,type,
    r3_pboole: ( $i * $i * $i ) > $o ).

tff(decl_640,type,
    m2_pboole: ( $i * $i * $i ) > $o ).

tff(decl_641,type,
    k4_card_3: $i > $i ).

tff(decl_642,type,
    k9_pboole: $i > $i ).

tff(decl_643,type,
    k7_pboole: ( $i * $i * $i * $i ) > $i ).

tff(decl_644,type,
    k11_pboole: ( $i * $i * $i ) > $i ).

tff(decl_645,type,
    k12_pboole: ( $i * $i * $i ) > $i ).

tff(decl_646,type,
    k13_pboole: ( $i * $i ) > $i ).

tff(decl_647,type,
    k14_pboole: ( $i * $i * $i ) > $i ).

tff(decl_648,type,
    f1_s1_pboole: $i ).

tff(decl_649,type,
    f2_s1_pboole: $i > $i ).

tff(decl_650,type,
    f1_s2_pboole: $i ).

tff(decl_651,type,
    f2_s2_pboole: $i ).

tff(decl_652,type,
    p1_s2_pboole: ( $i * $i ) > $o ).

tff(decl_653,type,
    f1_s3_pboole: $i ).

tff(decl_654,type,
    p1_s3_pboole: ( $i * $i ) > $o ).

tff(decl_655,type,
    f1_s4_pboole: $i ).

tff(decl_656,type,
    f2_s4_pboole: $i > $i ).

tff(decl_657,type,
    f1_s5_pboole: $i ).

tff(decl_658,type,
    f2_s5_pboole: $i > $i ).

tff(decl_659,type,
    v1_pboole: ( $i * $i ) > $o ).

tff(decl_660,type,
    v2_pboole: ( $i * $i ) > $o ).

tff(decl_661,type,
    k8_pboole: ( $i * $i * $i * $i ) > $i ).

tff(decl_662,type,
    k10_pboole: ( $i * $i ) > $i ).

tff(decl_663,type,
    l1_struct_0: $i > $o ).

tff(decl_664,type,
    v1_struct_0: $i > $o ).

tff(decl_665,type,
    l2_struct_0: $i > $o ).

tff(decl_666,type,
    v2_struct_0: $i > $o ).

tff(decl_667,type,
    v3_struct_0: $i > $o ).

tff(decl_668,type,
    u1_struct_0: $i > $i ).

tff(decl_669,type,
    m1_struct_0: ( $i * $i * $i ) > $o ).

tff(decl_670,type,
    g1_struct_0: $i > $i ).

tff(decl_671,type,
    u2_struct_0: $i > $i ).

tff(decl_672,type,
    g2_struct_0: ( $i * $i ) > $i ).

tff(decl_673,type,
    k1_struct_0: ( $i * $i ) > $i ).

tff(decl_674,type,
    k2_struct_0: ( $i * $i * $i ) > $i ).

tff(decl_675,type,
    l1_lattices: $i > $o ).

tff(decl_676,type,
    v1_lattices: $i > $o ).

tff(decl_677,type,
    l2_lattices: $i > $o ).

tff(decl_678,type,
    v2_lattices: $i > $o ).

tff(decl_679,type,
    l3_lattices: $i > $o ).

tff(decl_680,type,
    v3_lattices: $i > $o ).

tff(decl_681,type,
    g2_lattices: ( $i * $i ) > $i ).

tff(decl_682,type,
    g1_lattices: ( $i * $i ) > $i ).

tff(decl_683,type,
    g3_lattices: ( $i * $i * $i ) > $i ).

tff(decl_684,type,
    v10_lattices: $i > $o ).

tff(decl_685,type,
    v4_lattices: $i > $o ).

tff(decl_686,type,
    v5_lattices: $i > $o ).

tff(decl_687,type,
    v6_lattices: $i > $o ).

tff(decl_688,type,
    v7_lattices: $i > $o ).

tff(decl_689,type,
    v8_lattices: $i > $o ).

tff(decl_690,type,
    v9_lattices: $i > $o ).

tff(decl_691,type,
    v11_lattices: $i > $o ).

tff(decl_692,type,
    v12_lattices: $i > $o ).

tff(decl_693,type,
    v13_lattices: $i > $o ).

tff(decl_694,type,
    v14_lattices: $i > $o ).

tff(decl_695,type,
    v15_lattices: $i > $o ).

tff(decl_696,type,
    v16_lattices: $i > $o ).

tff(decl_697,type,
    v17_lattices: $i > $o ).

tff(decl_698,type,
    k1_lattices: ( $i * $i * $i ) > $i ).

tff(decl_699,type,
    u2_lattices: $i > $i ).

tff(decl_700,type,
    k2_lattices: ( $i * $i * $i ) > $i ).

tff(decl_701,type,
    u1_lattices: $i > $i ).

tff(decl_702,type,
    r1_lattices: ( $i * $i * $i ) > $o ).

tff(decl_703,type,
    k5_lattices: $i > $i ).

tff(decl_704,type,
    k6_lattices: $i > $i ).

tff(decl_705,type,
    r2_lattices: ( $i * $i * $i ) > $o ).

tff(decl_706,type,
    k4_lattices: ( $i * $i * $i ) > $i ).

tff(decl_707,type,
    k3_lattices: ( $i * $i * $i ) > $i ).

tff(decl_708,type,
    r3_lattices: ( $i * $i * $i ) > $o ).

tff(decl_709,type,
    k7_lattices: ( $i * $i ) > $i ).

tff(decl_710,type,
    l1_pre_topc: $i > $o ).

tff(decl_711,type,
    v1_pre_topc: $i > $o ).

tff(decl_712,type,
    v2_pre_topc: $i > $o ).

tff(decl_713,type,
    k1_pre_topc: $i > $i ).

tff(decl_714,type,
    k2_pre_topc: $i > $i ).

tff(decl_715,type,
    m1_pre_topc: ( $i * $i ) > $o ).

tff(decl_716,type,
    k3_pre_topc: ( $i * $i ) > $i ).

tff(decl_717,type,
    v4_pre_topc: ( $i * $i ) > $o ).

tff(decl_718,type,
    u1_pre_topc: $i > $i ).

tff(decl_719,type,
    v3_pre_topc: ( $i * $i ) > $o ).

tff(decl_720,type,
    r1_pre_topc: ( $i * $i ) > $o ).

tff(decl_721,type,
    v5_pre_topc: ( $i * $i * $i ) > $o ).

tff(decl_722,type,
    k5_pre_topc: ( $i * $i * $i * $i ) > $i ).

tff(decl_723,type,
    k6_pre_topc: ( $i * $i ) > $i ).

tff(decl_724,type,
    g1_pre_topc: ( $i * $i ) > $i ).

tff(decl_725,type,
    k4_pre_topc: ( $i * $i * $i * $i ) > $i ).

tff(decl_726,type,
    l1_orders_2: $i > $o ).

tff(decl_727,type,
    v1_orders_2: $i > $o ).

tff(decl_728,type,
    g1_orders_2: ( $i * $i ) > $i ).

tff(decl_729,type,
    v2_orders_2: $i > $o ).

tff(decl_730,type,
    v3_orders_2: $i > $o ).

tff(decl_731,type,
    v4_orders_2: $i > $o ).

tff(decl_732,type,
    u1_orders_2: $i > $i ).

tff(decl_733,type,
    v5_orders_2: ( $i * $i ) > $o ).

tff(decl_734,type,
    k4_orders_2: ( $i * $i ) > $i ).

tff(decl_735,type,
    r1_orders_2: ( $i * $i * $i ) > $o ).

tff(decl_736,type,
    r2_orders_2: ( $i * $i * $i ) > $o ).

tff(decl_737,type,
    r3_orders_2: ( $i * $i * $i ) > $o ).

tff(decl_738,type,
    k1_orders_2: ( $i * $i ) > $i ).

tff(decl_739,type,
    k2_orders_2: ( $i * $i ) > $i ).

tff(decl_740,type,
    k3_orders_2: ( $i * $i * $i ) > $i ).

tff(decl_741,type,
    m1_orders_2: ( $i * $i * $i ) > $o ).

tff(decl_742,type,
    m2_orders_2: ( $i * $i * $i ) > $o ).

tff(decl_743,type,
    a_2_0_orders_2: ( $i * $i ) > $i ).

tff(decl_744,type,
    a_2_1_orders_2: ( $i * $i ) > $i ).

tff(decl_745,type,
    v3_filter_0: $i > $o ).

tff(decl_746,type,
    k5_filter_0: ( $i * $i * $i ) > $i ).

tff(decl_747,type,
    m1_filter_0: ( $i * $i ) > $o ).

tff(decl_748,type,
    k8_filter_0: ( $i * $i ) > $i ).

tff(decl_749,type,
    k1_filter_0: $i > $i ).

tff(decl_750,type,
    k2_filter_0: ( $i * $i ) > $i ).

tff(decl_751,type,
    v1_filter_0: ( $i * $i ) > $o ).

tff(decl_752,type,
    k3_filter_0: ( $i * $i ) > $i ).

tff(decl_753,type,
    v2_filter_0: ( $i * $i ) > $o ).

tff(decl_754,type,
    k4_filter_0: ( $i * $i * $i ) > $i ).

tff(decl_755,type,
    k6_filter_0: ( $i * $i * $i ) > $i ).

tff(decl_756,type,
    k7_filter_0: ( $i * $i * $i ) > $i ).

tff(decl_757,type,
    k1_realset1: ( $i * $i ) > $i ).

tff(decl_758,type,
    k9_filter_0: ( $i * $i * $i ) > $i ).

tff(decl_759,type,
    k10_filter_0: ( $i * $i ) > $i ).

tff(decl_760,type,
    r1_filter_0: ( $i * $i * $i * $i ) > $o ).

tff(decl_761,type,
    k11_filter_0: ( $i * $i ) > $i ).

tff(decl_762,type,
    k12_filter_0: ( $i * $i ) > $i ).

tff(decl_763,type,
    a_2_0_filter_0: ( $i * $i ) > $i ).

tff(decl_764,type,
    a_3_0_filter_0: ( $i * $i * $i ) > $i ).

tff(decl_765,type,
    a_3_1_filter_0: ( $i * $i * $i ) > $i ).

tff(decl_766,type,
    k1_lattice2: $i > $i ).

tff(decl_767,type,
    v1_lattice2: $i > $o ).

tff(decl_768,type,
    v6_group_1: $i > $o ).

tff(decl_769,type,
    r1_lattice2: ( $i * $i * $i ) > $o ).

tff(decl_770,type,
    v1_setwiseo: ( $i * $i ) > $o ).

tff(decl_771,type,
    k3_binop_1: ( $i * $i ) > $i ).

tff(decl_772,type,
    r6_binop_1: ( $i * $i * $i ) > $o ).

tff(decl_773,type,
    k2_lattice2: ( $i * $i * $i * $i ) > $i ).

tff(decl_774,type,
    k7_setwiseo: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_775,type,
    k3_lattice2: ( $i * $i * $i * $i ) > $i ).

tff(decl_776,type,
    r3_binop_1: ( $i * $i * $i ) > $o ).

tff(decl_777,type,
    k8_filter_1: ( $i * $i ) > $i ).

tff(decl_778,type,
    m1_filter_1: ( $i * $i * $i ) > $o ).

tff(decl_779,type,
    m2_filter_1: ( $i * $i * $i ) > $o ).

tff(decl_780,type,
    k3_filter_1: ( $i * $i * $i ) > $i ).

tff(decl_781,type,
    k4_filter_1: ( $i * $i * $i ) > $i ).

tff(decl_782,type,
    k2_filter_1: ( $i * $i * $i ) > $i ).

tff(decl_783,type,
    r1_binop_1: ( $i * $i * $i ) > $o ).

tff(decl_784,type,
    r2_binop_1: ( $i * $i * $i ) > $o ).

tff(decl_785,type,
    r4_binop_1: ( $i * $i * $i ) > $o ).

tff(decl_786,type,
    r5_binop_1: ( $i * $i * $i ) > $o ).

tff(decl_787,type,
    k5_filter_1: ( $i * $i ) > $i ).

tff(decl_788,type,
    k6_filter_1: ( $i * $i * $i ) > $i ).

tff(decl_789,type,
    k7_filter_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_790,type,
    k9_filter_1: $i > $i ).

tff(decl_791,type,
    r1_filter_1: ( $i * $i ) > $o ).

tff(decl_792,type,
    k10_filter_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_793,type,
    f1_s1_filter_1: $i ).

tff(decl_794,type,
    f2_s1_filter_1: $i ).

tff(decl_795,type,
    p1_s1_filter_1: $i > $o ).

tff(decl_796,type,
    f1_s2_filter_1: $i ).

tff(decl_797,type,
    f2_s2_filter_1: $i ).

tff(decl_798,type,
    p1_s2_filter_1: ( $i * $i ) > $o ).

tff(decl_799,type,
    f1_s3_filter_1: $i ).

tff(decl_800,type,
    f2_s3_filter_1: $i ).

tff(decl_801,type,
    p1_s3_filter_1: ( $i * $i * $i ) > $o ).

tff(decl_802,type,
    f1_s4_filter_1: $i ).

tff(decl_803,type,
    f2_s4_filter_1: $i ).

tff(decl_804,type,
    p1_s4_filter_1: $i > $o ).

tff(decl_805,type,
    f1_s5_filter_1: $i ).

tff(decl_806,type,
    f2_s5_filter_1: $i ).

tff(decl_807,type,
    p1_s5_filter_1: ( $i * $i ) > $o ).

tff(decl_808,type,
    f1_s6_filter_1: $i ).

tff(decl_809,type,
    f2_s6_filter_1: $i ).

tff(decl_810,type,
    p1_s6_filter_1: ( $i * $i * $i ) > $o ).

tff(decl_811,type,
    k1_filter_1: ( $i * $i * $i ) > $i ).

tff(decl_812,type,
    a_1_0_filter_1: $i > $i ).

tff(decl_813,type,
    k1_lattice3: $i > $i ).

tff(decl_814,type,
    k3_lattice3: $i > $i ).

tff(decl_815,type,
    k7_lattice3: $i > $i ).

tff(decl_816,type,
    v1_lattice3: $i > $o ).

tff(decl_817,type,
    v2_lattice3: $i > $o ).

tff(decl_818,type,
    v3_lattice3: $i > $o ).

tff(decl_819,type,
    v4_lattice3: $i > $o ).

tff(decl_820,type,
    v5_lattice3: $i > $o ).

tff(decl_821,type,
    v6_lattice3: $i > $o ).

tff(decl_822,type,
    k14_lattice3: $i > $i ).

tff(decl_823,type,
    k2_lattice3: $i > $i ).

tff(decl_824,type,
    k4_lattice3: ( $i * $i ) > $i ).

tff(decl_825,type,
    k5_lattice3: ( $i * $i ) > $i ).

tff(decl_826,type,
    k8_lattice3: ( $i * $i ) > $i ).

tff(decl_827,type,
    k9_lattice3: ( $i * $i ) > $i ).

tff(decl_828,type,
    r1_lattice3: ( $i * $i * $i ) > $o ).

tff(decl_829,type,
    r2_lattice3: ( $i * $i * $i ) > $o ).

tff(decl_830,type,
    k10_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_831,type,
    k11_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_832,type,
    k12_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_833,type,
    k13_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_834,type,
    k6_lattice3: ( $i * $i ) > $i ).

tff(decl_835,type,
    r3_lattice3: ( $i * $i * $i ) > $o ).

tff(decl_836,type,
    r4_lattice3: ( $i * $i * $i ) > $o ).

tff(decl_837,type,
    k15_lattice3: ( $i * $i ) > $i ).

tff(decl_838,type,
    k16_lattice3: ( $i * $i ) > $i ).

tff(decl_839,type,
    a_3_0_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_840,type,
    a_3_1_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_841,type,
    a_2_0_lattice3: ( $i * $i ) > $i ).

tff(decl_842,type,
    a_2_1_lattice3: ( $i * $i ) > $i ).

tff(decl_843,type,
    a_3_2_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_844,type,
    a_3_3_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_845,type,
    a_3_4_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_846,type,
    a_3_5_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_847,type,
    a_2_2_lattice3: ( $i * $i ) > $i ).

tff(decl_848,type,
    a_2_3_lattice3: ( $i * $i ) > $i ).

tff(decl_849,type,
    a_2_4_lattice3: ( $i * $i ) > $i ).

tff(decl_850,type,
    a_2_5_lattice3: ( $i * $i ) > $i ).

tff(decl_851,type,
    a_2_6_lattice3: ( $i * $i ) > $i ).

tff(decl_852,type,
    a_2_7_lattice3: ( $i * $i ) > $i ).

tff(decl_853,type,
    a_3_6_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_854,type,
    a_3_7_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_855,type,
    a_3_8_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_856,type,
    a_3_9_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_857,type,
    a_3_10_lattice3: ( $i * $i * $i ) > $i ).

tff(decl_858,type,
    f2_s1_lattice3: $i ).

tff(decl_859,type,
    p1_s1_lattice3: $i > $o ).

tff(decl_860,type,
    a_0_0_lattice3: $i ).

tff(decl_861,type,
    f1_s1_lattice3: $i ).

tff(decl_862,type,
    f2_s2_lattice3: $i ).

tff(decl_863,type,
    f4_s2_lattice3: $i ).

tff(decl_864,type,
    a_0_1_lattice3: $i ).

tff(decl_865,type,
    a_0_2_lattice3: $i ).

tff(decl_866,type,
    f1_s2_lattice3: $i ).

tff(decl_867,type,
    f3_s2_lattice3: $i > $i ).

tff(decl_868,type,
    p1_s2_lattice3: $i > $o ).

tff(decl_869,type,
    m2_lattice4: ( $i * $i ) > $o ).

tff(decl_870,type,
    k4_lattice4: ( $i * $i ) > $i ).

tff(decl_871,type,
    m1_lattice4: ( $i * $i * $i ) > $o ).

tff(decl_872,type,
    v1_lattice4: ( $i * $i * $i ) > $o ).

tff(decl_873,type,
    v2_lattice4: ( $i * $i * $i ) > $o ).

tff(decl_874,type,
    v3_lattice4: ( $i * $i * $i ) > $o ).

tff(decl_875,type,
    r1_lattice4: ( $i * $i * $i ) > $o ).

tff(decl_876,type,
    r2_lattice4: ( $i * $i * $i ) > $o ).

tff(decl_877,type,
    r3_lattice4: ( $i * $i * $i ) > $o ).

tff(decl_878,type,
    r4_lattice4: ( $i * $i * $i ) > $o ).

tff(decl_879,type,
    k1_lattice4: ( $i * $i ) > $i ).

tff(decl_880,type,
    k7_grcat_1: $i > $i ).

tff(decl_881,type,
    k2_lattice4: ( $i * $i ) > $i ).

tff(decl_882,type,
    k2_setwiseo: ( $i * $i ) > $i ).

tff(decl_883,type,
    k5_setwiseo: ( $i * $i * $i ) > $i ).

tff(decl_884,type,
    k1_setwiseo: $i > $i ).

tff(decl_885,type,
    k8_setwiseo: ( $i * $i * $i * $i ) > $i ).

tff(decl_886,type,
    m3_lattice4: ( $i * $i ) > $o ).

tff(decl_887,type,
    k3_lattice4: ( $i * $i ) > $i ).

tff(decl_888,type,
    k5_lattice4: $i > $i ).

tff(decl_889,type,
    a_2_0_lattice4: ( $i * $i ) > $i ).

tff(decl_890,type,
    a_2_1_lattice4: ( $i * $i ) > $i ).

tff(decl_891,type,
    v3_rlvect_1: $i > $o ).

tff(decl_892,type,
    v4_rlvect_1: $i > $o ).

tff(decl_893,type,
    v5_rlvect_1: $i > $o ).

tff(decl_894,type,
    v6_rlvect_1: $i > $o ).

tff(decl_895,type,
    v4_group_1: $i > $o ).

tff(decl_896,type,
    v7_group_1: $i > $o ).

tff(decl_897,type,
    v7_vectsp_1: $i > $o ).

tff(decl_898,type,
    v8_vectsp_1: $i > $o ).

tff(decl_899,type,
    v9_vectsp_1: $i > $o ).

tff(decl_900,type,
    v10_vectsp_1: $i > $o ).

tff(decl_901,type,
    l3_vectsp_1: $i > $o ).

tff(decl_902,type,
    v11_vectsp_1: ( $i * $i ) > $o ).

tff(decl_903,type,
    v12_vectsp_1: ( $i * $i ) > $o ).

tff(decl_904,type,
    l4_vectsp_1: ( $i * $i ) > $o ).

tff(decl_905,type,
    m1_vectsp_8: ( $i * $i * $i ) > $o ).

tff(decl_906,type,
    k1_vectsp_8: ( $i * $i ) > $i ).

tff(decl_907,type,
    k3_vectsp_5: ( $i * $i ) > $i ).

tff(decl_908,type,
    k5_vectsp_5: ( $i * $i ) > $i ).

tff(decl_909,type,
    k6_vectsp_5: ( $i * $i ) > $i ).

tff(decl_910,type,
    m1_vectsp_4: ( $i * $i * $i ) > $o ).

tff(decl_911,type,
    k2_vectsp_8: ( $i * $i ) > $i ).

tff(decl_912,type,
    m2_vectsp_8: ( $i * $i * $i * $i ) > $o ).

tff(decl_913,type,
    k3_vectsp_8: ( $i * $i * $i ) > $i ).

tff(decl_914,type,
    k4_vectsp_8: ( $i * $i ) > $i ).

tff(decl_915,type,
    k1_rlvect_1: $i > $i ).

tff(decl_916,type,
    k5_vectsp_8: ( $i * $i * $i ) > $i ).

tff(decl_917,type,
    k1_vectsp_5: ( $i * $i * $i * $i ) > $i ).

tff(decl_918,type,
    k2_vectsp_5: ( $i * $i * $i * $i ) > $i ).

tff(decl_919,type,
    v1_vectsp_4: ( $i * $i * $i ) > $o ).

tff(decl_920,type,
    k1_vectsp_7: ( $i * $i * $i ) > $i ).

tff(decl_921,type,
    r1_rlvect_1: ( $i * $i ) > $o ).

tff(decl_922,type,
    k6_vectsp_8: ( $i * $i * $i * $i ) > $i ).

tff(decl_923,type,
    m3_vectsp_8: ( $i * $i * $i ) > $o ).

tff(decl_924,type,
    m4_vectsp_8: ( $i * $i * $i ) > $o ).

tff(decl_925,type,
    v1_mod_2: ( $i * $i * $i * $i ) > $o ).

tff(decl_926,type,
    v3_realset2: $i > $o ).

tff(decl_927,type,
    v3_yellow_0: $i > $o ).

tff(decl_928,type,
    v1_yellow_0: $i > $o ).

tff(decl_929,type,
    v2_yellow_0: $i > $o ).

tff(decl_930,type,
    m1_yellow_0: ( $i * $i ) > $o ).

tff(decl_931,type,
    v4_yellow_0: ( $i * $i ) > $o ).

tff(decl_932,type,
    v7_yellow_0: ( $i * $i ) > $o ).

tff(decl_933,type,
    v5_yellow_0: ( $i * $i ) > $o ).

tff(decl_934,type,
    v8_yellow_0: ( $i * $i ) > $o ).

tff(decl_935,type,
    v6_yellow_0: ( $i * $i ) > $o ).

tff(decl_936,type,
    r1_yellow_0: ( $i * $i ) > $o ).

tff(decl_937,type,
    r2_yellow_0: ( $i * $i ) > $o ).

tff(decl_938,type,
    k1_yellow_0: ( $i * $i ) > $i ).

tff(decl_939,type,
    k2_yellow_0: ( $i * $i ) > $i ).

tff(decl_940,type,
    k3_yellow_0: $i > $i ).

tff(decl_941,type,
    k4_yellow_0: $i > $i ).

tff(decl_942,type,
    k1_toler_1: ( $i * $i ) > $i ).

tff(decl_943,type,
    k5_yellow_0: ( $i * $i ) > $i ).

tff(decl_944,type,
    f1_s1_yellow_0: $i ).

tff(decl_945,type,
    p1_s1_yellow_0: ( $i * $i ) > $o ).

tff(decl_946,type,
    v1_waybel_0: ( $i * $i ) > $o ).

tff(decl_947,type,
    v2_waybel_0: ( $i * $i ) > $o ).

tff(decl_948,type,
    v3_waybel_0: ( $i * $i ) > $o ).

tff(decl_949,type,
    v4_waybel_0: ( $i * $i ) > $o ).

tff(decl_950,type,
    l1_waybel_0: ( $i * $i ) > $o ).

tff(decl_951,type,
    v6_waybel_0: ( $i * $i ) > $o ).

tff(decl_952,type,
    g1_waybel_0: ( $i * $i * $i * $i ) > $i ).

tff(decl_953,type,
    v7_waybel_0: $i > $o ).

tff(decl_954,type,
    v8_waybel_0: ( $i * $i ) > $o ).

tff(decl_955,type,
    v10_waybel_0: ( $i * $i ) > $o ).

tff(decl_956,type,
    v9_waybel_0: ( $i * $i ) > $o ).

tff(decl_957,type,
    v11_waybel_0: ( $i * $i ) > $o ).

tff(decl_958,type,
    k4_waybel_0: ( $i * $i ) > $i ).

tff(decl_959,type,
    k5_waybel_0: ( $i * $i ) > $i ).

tff(decl_960,type,
    k6_waybel_0: ( $i * $i ) > $i ).

tff(decl_961,type,
    k7_waybel_0: ( $i * $i ) > $i ).

tff(decl_962,type,
    v12_waybel_0: ( $i * $i ) > $o ).

tff(decl_963,type,
    v13_waybel_0: ( $i * $i ) > $o ).

tff(decl_964,type,
    k12_waybel_0: ( $i * $i ) > $i ).

tff(decl_965,type,
    k13_waybel_0: ( $i * $i ) > $i ).

tff(decl_966,type,
    v16_waybel_0: $i > $o ).

tff(decl_967,type,
    v17_waybel_0: ( $i * $i * $i ) > $o ).

tff(decl_968,type,
    v19_waybel_0: ( $i * $i * $i ) > $o ).

tff(decl_969,type,
    v21_waybel_0: ( $i * $i * $i ) > $o ).

tff(decl_970,type,
    v18_waybel_0: ( $i * $i * $i ) > $o ).

tff(decl_971,type,
    v20_waybel_0: ( $i * $i * $i ) > $o ).

tff(decl_972,type,
    v22_waybel_0: ( $i * $i * $i ) > $o ).

tff(decl_973,type,
    v23_waybel_0: ( $i * $i * $i ) > $o ).

tff(decl_974,type,
    v5_orders_3: ( $i * $i * $i ) > $o ).

tff(decl_975,type,
    v24_waybel_0: $i > $o ).

tff(decl_976,type,
    v25_waybel_0: $i > $o ).

tff(decl_977,type,
    v5_waybel_0: ( $i * $i * $i ) > $o ).

tff(decl_978,type,
    k2_waybel_0: ( $i * $i ) > $i ).

tff(decl_979,type,
    u1_waybel_0: ( $i * $i ) > $i ).

tff(decl_980,type,
    k3_waybel_0: ( $i * $i * $i ) > $i ).

tff(decl_981,type,
    k1_waybel_0: ( $i * $i * $i * $i ) > $i ).

tff(decl_982,type,
    r1_waybel_0: ( $i * $i * $i ) > $o ).

tff(decl_983,type,
    r2_waybel_0: ( $i * $i * $i ) > $o ).

tff(decl_984,type,
    v14_waybel_0: ( $i * $i ) > $o ).

tff(decl_985,type,
    v15_waybel_0: ( $i * $i ) > $o ).

tff(decl_986,type,
    k10_waybel_0: $i > $i ).

tff(decl_987,type,
    k8_waybel_0: $i > $i ).

tff(decl_988,type,
    k11_waybel_0: $i > $i ).

tff(decl_989,type,
    k9_waybel_0: $i > $i ).

tff(decl_990,type,
    r3_waybel_0: ( $i * $i * $i * $i ) > $o ).

tff(decl_991,type,
    r4_waybel_0: ( $i * $i * $i * $i ) > $o ).

tff(decl_992,type,
    a_3_0_waybel_0: ( $i * $i * $i ) > $i ).

tff(decl_993,type,
    a_3_1_waybel_0: ( $i * $i * $i ) > $i ).

tff(decl_994,type,
    a_2_0_waybel_0: ( $i * $i ) > $i ).

tff(decl_995,type,
    a_2_1_waybel_0: ( $i * $i ) > $i ).

tff(decl_996,type,
    a_1_0_waybel_0: $i > $i ).

tff(decl_997,type,
    a_1_1_waybel_0: $i > $i ).

tff(decl_998,type,
    a_2_2_waybel_0: ( $i * $i ) > $i ).

tff(decl_999,type,
    a_2_3_waybel_0: ( $i * $i ) > $i ).

tff(decl_1000,type,
    f1_s1_waybel_0: $i ).

tff(decl_1001,type,
    f2_s1_waybel_0: $i ).

tff(decl_1002,type,
    a_0_0_waybel_0: $i ).

tff(decl_1003,type,
    p1_s1_waybel_0: $i > $o ).

tff(decl_1004,type,
    k2_yellow_1: $i > $i ).

tff(decl_1005,type,
    k3_yellow_1: $i > $i ).

tff(decl_1006,type,
    v1_yellow_1: $i > $o ).

tff(decl_1007,type,
    v2_pralg_1: $i > $o ).

tff(decl_1008,type,
    k6_yellow_1: ( $i * $i ) > $i ).

tff(decl_1009,type,
    k1_yellow_1: $i > $i ).

tff(decl_1010,type,
    v1_tops_2: ( $i * $i ) > $o ).

tff(decl_1011,type,
    k5_yellow_1: ( $i * $i ) > $i ).

tff(decl_1012,type,
    k12_pralg_1: ( $i * $i ) > $i ).

tff(decl_1013,type,
    k2_pre_circ: ( $i * $i ) > $i ).

tff(decl_1014,type,
    k7_yellow_1: ( $i * $i ) > $i ).

tff(decl_1015,type,
    k4_yellow_1: ( $i * $i * $i ) > $i ).

tff(decl_1016,type,
    k2_yellow_2: ( $i * $i * $i ) > $i ).

tff(decl_1017,type,
    k3_yellow_2: $i > $i ).

tff(decl_1018,type,
    k4_yellow_2: $i > $i ).

tff(decl_1019,type,
    r1_yellow_2: ( $i * $i * $i * $i ) > $o ).

tff(decl_1020,type,
    k1_yellow_2: ( $i * $i * $i ) > $i ).

tff(decl_1021,type,
    v11_quantal1: $i > $o ).

tff(decl_1022,type,
    k5_yellow_2: ( $i * $i ) > $i ).

tff(decl_1023,type,
    k6_yellow_2: ( $i * $i ) > $i ).

tff(decl_1024,type,
    k7_yellow_2: ( $i * $i * $i * $i ) > $i ).

tff(decl_1025,type,
    k8_yellow_2: ( $i * $i * $i ) > $i ).

tff(decl_1026,type,
    a_2_0_yellow_2: ( $i * $i ) > $i ).

tff(decl_1027,type,
    a_2_1_yellow_2: ( $i * $i ) > $i ).

tff(decl_1028,type,
    a_3_0_yellow_2: ( $i * $i * $i ) > $i ).

tff(decl_1029,type,
    v2_waybel_1: $i > $o ).

tff(decl_1030,type,
    v4_waybel_1: ( $i * $i * $i ) > $o ).

tff(decl_1031,type,
    v5_waybel_1: ( $i * $i * $i ) > $o ).

tff(decl_1032,type,
    v6_waybel_1: ( $i * $i ) > $o ).

tff(decl_1033,type,
    v7_waybel_1: ( $i * $i ) > $o ).

tff(decl_1034,type,
    v8_waybel_1: ( $i * $i ) > $o ).

tff(decl_1035,type,
    k2_waybel_1: ( $i * $i * $i ) > $i ).

tff(decl_1036,type,
    k3_waybel_1: ( $i * $i * $i ) > $i ).

tff(decl_1037,type,
    k4_waybel_1: ( $i * $i ) > $i ).

tff(decl_1038,type,
    v9_waybel_1: $i > $o ).

tff(decl_1039,type,
    v10_waybel_1: $i > $o ).

tff(decl_1040,type,
    v11_waybel_1: $i > $o ).

tff(decl_1041,type,
    r1_waybel_1: ( $i * $i ) > $o ).

tff(decl_1042,type,
    r2_waybel_1: ( $i * $i ) > $o ).

tff(decl_1043,type,
    r3_waybel_1: ( $i * $i * $i ) > $o ).

tff(decl_1044,type,
    r4_waybel_1: ( $i * $i * $i ) > $o ).

tff(decl_1045,type,
    r5_waybel_1: ( $i * $i ) > $o ).

tff(decl_1046,type,
    m1_waybel_1: ( $i * $i * $i ) > $o ).

tff(decl_1047,type,
    v3_waybel_1: ( $i * $i * $i ) > $o ).

tff(decl_1048,type,
    k1_waybel_1: ( $i * $i * $i * $i ) > $i ).

tff(decl_1049,type,
    k5_waybel_1: ( $i * $i ) > $i ).

tff(decl_1050,type,
    k6_waybel_1: ( $i * $i * $i ) > $i ).

tff(decl_1051,type,
    k7_waybel_1: ( $i * $i ) > $i ).

tff(decl_1052,type,
    r6_waybel_1: ( $i * $i * $i ) > $o ).

tff(decl_1053,type,
    v1_waybel_1: ( $i * $i * $i ) > $o ).

tff(decl_1054,type,
    a_2_0_waybel_1: ( $i * $i ) > $i ).

tff(decl_1055,type,
    a_2_1_waybel_1: ( $i * $i ) > $i ).

tff(decl_1056,type,
    a_3_0_waybel_1: ( $i * $i * $i ) > $i ).

tff(decl_1057,type,
    a_3_1_waybel_1: ( $i * $i * $i ) > $i ).

tff(decl_1058,type,
    a_3_2_waybel_1: ( $i * $i * $i ) > $i ).

tff(decl_1059,type,
    a_3_3_waybel_1: ( $i * $i * $i ) > $i ).

tff(decl_1060,type,
    a_3_4_waybel_1: ( $i * $i * $i ) > $i ).

tff(decl_1061,type,
    a_3_5_waybel_1: ( $i * $i * $i ) > $i ).

tff(decl_1062,type,
    a_2_2_waybel_1: ( $i * $i ) > $i ).

tff(decl_1063,type,
    l1_conlat_1: $i > $o ).

tff(decl_1064,type,
    v1_conlat_1: $i > $o ).

tff(decl_1065,type,
    v2_conlat_1: $i > $o ).

tff(decl_1066,type,
    v3_conlat_1: $i > $o ).

tff(decl_1067,type,
    l2_conlat_1: $i > $o ).

tff(decl_1068,type,
    v4_conlat_1: $i > $o ).

tff(decl_1069,type,
    u2_conlat_1: $i > $i ).

tff(decl_1070,type,
    u1_conlat_1: $i > $i ).

tff(decl_1071,type,
    l3_conlat_1: ( $i * $i ) > $o ).

tff(decl_1072,type,
    v6_conlat_1: ( $i * $i ) > $o ).

tff(decl_1073,type,
    v7_conlat_1: ( $i * $i ) > $o ).

tff(decl_1074,type,
    v8_conlat_1: ( $i * $i ) > $o ).

tff(decl_1075,type,
    v9_conlat_1: ( $i * $i ) > $o ).

tff(decl_1076,type,
    v10_conlat_1: ( $i * $i ) > $o ).

tff(decl_1077,type,
    v11_conlat_1: ( $i * $i ) > $o ).

tff(decl_1078,type,
    k7_conlat_1: $i > $i ).

tff(decl_1079,type,
    k11_conlat_1: $i > $i ).

tff(decl_1080,type,
    r1_conlat_1: ( $i * $i * $i ) > $o ).

tff(decl_1081,type,
    u3_conlat_1: $i > $i ).

tff(decl_1082,type,
    k1_conlat_1: $i > $i ).

tff(decl_1083,type,
    k2_conlat_1: $i > $i ).

tff(decl_1084,type,
    k3_conlat_1: $i > $i ).

tff(decl_1085,type,
    k4_conlat_1: $i > $i ).

tff(decl_1086,type,
    v5_conlat_1: ( $i * $i * $i ) > $o ).

tff(decl_1087,type,
    u4_conlat_1: ( $i * $i ) > $i ).

tff(decl_1088,type,
    u5_conlat_1: ( $i * $i ) > $i ).

tff(decl_1089,type,
    g3_conlat_1: ( $i * $i * $i ) > $i ).

tff(decl_1090,type,
    k5_conlat_1: $i > $i ).

tff(decl_1091,type,
    k6_conlat_1: $i > $i ).

tff(decl_1092,type,
    m1_conlat_1: ( $i * $i ) > $o ).

tff(decl_1093,type,
    r2_conlat_1: ( $i * $i * $i ) > $o ).

tff(decl_1094,type,
    k8_conlat_1: $i > $i ).

tff(decl_1095,type,
    k9_conlat_1: $i > $i ).

tff(decl_1096,type,
    k10_conlat_1: $i > $i ).

tff(decl_1097,type,
    k12_conlat_1: ( $i * $i ) > $i ).

tff(decl_1098,type,
    m2_conlat_1: ( $i * $i * $i ) > $o ).

tff(decl_1099,type,
    m3_conlat_1: ( $i * $i * $i ) > $o ).

tff(decl_1100,type,
    g1_conlat_1: ( $i * $i ) > $i ).

tff(decl_1101,type,
    g2_conlat_1: ( $i * $i * $i ) > $i ).

tff(decl_1102,type,
    a_2_0_conlat_1: ( $i * $i ) > $i ).

tff(decl_1103,type,
    a_2_1_conlat_1: ( $i * $i ) > $i ).

tff(decl_1104,type,
    a_2_2_conlat_1: ( $i * $i ) > $i ).

tff(decl_1105,type,
    a_2_3_conlat_1: ( $i * $i ) > $i ).

tff(decl_1106,type,
    a_1_0_conlat_1: $i > $i ).

tff(decl_1107,type,
    v1_wellfnd1: $i > $o ).

tff(decl_1108,type,
    v1_lattice6: $i > $o ).

tff(decl_1109,type,
    v2_lattice6: $i > $o ).

tff(decl_1110,type,
    v7_lattice6: $i > $o ).

tff(decl_1111,type,
    k5_lattice6: $i > $i ).

tff(decl_1112,type,
    v9_lattice6: ( $i * $i ) > $o ).

tff(decl_1113,type,
    k6_lattice6: $i > $i ).

tff(decl_1114,type,
    v8_lattice6: ( $i * $i ) > $o ).

tff(decl_1115,type,
    r1_lattice6: ( $i * $i * $i ) > $o ).

tff(decl_1116,type,
    v3_lattice6: ( $i * $i ) > $o ).

tff(decl_1117,type,
    k3_lattice6: ( $i * $i ) > $i ).

tff(decl_1118,type,
    v4_lattice6: ( $i * $i ) > $o ).

tff(decl_1119,type,
    k4_lattice6: ( $i * $i ) > $i ).

tff(decl_1120,type,
    v2_waybel_6: ( $i * $i ) > $o ).

tff(decl_1121,type,
    v3_waybel_6: ( $i * $i ) > $o ).

tff(decl_1122,type,
    v5_lattice6: ( $i * $i ) > $o ).

tff(decl_1123,type,
    v6_lattice6: ( $i * $i ) > $o ).

tff(decl_1124,type,
    k1_lattice6: ( $i * $i ) > $i ).

tff(decl_1125,type,
    v4_waybel_6: ( $i * $i ) > $o ).

tff(decl_1126,type,
    k2_lattice6: ( $i * $i ) > $i ).

tff(decl_1127,type,
    a_2_0_lattice6: ( $i * $i ) > $i ).

tff(decl_1128,type,
    a_2_1_lattice6: ( $i * $i ) > $i ).

tff(decl_1129,type,
    a_2_2_lattice6: ( $i * $i ) > $i ).

tff(decl_1130,type,
    a_2_3_lattice6: ( $i * $i ) > $i ).

tff(decl_1131,type,
    a_3_0_lattice6: ( $i * $i * $i ) > $i ).

tff(decl_1132,type,
    a_3_1_lattice6: ( $i * $i * $i ) > $i ).

tff(decl_1133,type,
    a_1_0_lattice6: $i > $i ).

tff(decl_1134,type,
    a_1_1_lattice6: $i > $i ).

tff(decl_1135,type,
    k1_conlat_2: ( $i * $i ) > $i ).

tff(decl_1136,type,
    k2_conlat_2: ( $i * $i ) > $i ).

tff(decl_1137,type,
    k3_conlat_2: ( $i * $i ) > $i ).

tff(decl_1138,type,
    k4_conlat_2: $i > $i ).

tff(decl_1139,type,
    k5_conlat_2: $i > $i ).

tff(decl_1140,type,
    k6_conlat_2: $i > $i ).

tff(decl_1141,type,
    k7_conlat_2: $i > $i ).

tff(decl_1142,type,
    k8_conlat_2: ( $i * $i ) > $i ).

tff(decl_1143,type,
    k9_conlat_2: ( $i * $i ) > $i ).

tff(decl_1144,type,
    k10_conlat_2: $i > $i ).

tff(decl_1145,type,
    a_2_0_conlat_2: ( $i * $i ) > $i ).

tff(decl_1146,type,
    a_2_1_conlat_2: ( $i * $i ) > $i ).

tff(decl_1147,type,
    a_2_2_conlat_2: ( $i * $i ) > $i ).

tff(decl_1148,type,
    a_2_3_conlat_2: ( $i * $i ) > $i ).

tff(decl_1149,type,
    a_2_4_conlat_2: ( $i * $i ) > $i ).

tff(decl_1150,type,
    a_2_5_conlat_2: ( $i * $i ) > $i ).

tff(decl_1151,type,
    epred1_2: ( $i * $i ) > $o ).

tff(decl_1152,type,
    esk1_0: $i ).

tff(decl_1153,type,
    esk2_0: $i ).

tff(decl_1154,type,
    esk3_1: $i > $i ).

tff(decl_1155,type,
    esk4_1: $i > $i ).

tff(decl_1156,type,
    esk5_1: $i > $i ).

tff(decl_1157,type,
    esk6_1: $i > $i ).

tff(decl_1158,type,
    esk7_0: $i ).

tff(decl_1159,type,
    esk8_0: $i ).

tff(decl_1160,type,
    esk9_0: $i ).

tff(decl_1161,type,
    esk10_2: ( $i * $i ) > $i ).

tff(decl_1162,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_1163,type,
    esk12_2: ( $i * $i ) > $i ).

tff(decl_1164,type,
    esk13_2: ( $i * $i ) > $i ).

tff(decl_1165,type,
    esk14_2: ( $i * $i ) > $i ).

tff(decl_1166,type,
    esk15_1: $i > $i ).

tff(decl_1167,type,
    esk16_1: $i > $i ).

tff(decl_1168,type,
    esk17_3: ( $i * $i * $i ) > $i ).

tff(decl_1169,type,
    esk18_3: ( $i * $i * $i ) > $i ).

tff(decl_1170,type,
    esk19_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1171,type,
    esk20_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1172,type,
    esk21_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1173,type,
    esk22_3: ( $i * $i * $i ) > $i ).

tff(decl_1174,type,
    esk23_3: ( $i * $i * $i ) > $i ).

tff(decl_1175,type,
    esk24_3: ( $i * $i * $i ) > $i ).

tff(decl_1176,type,
    esk25_3: ( $i * $i * $i ) > $i ).

tff(decl_1177,type,
    esk26_2: ( $i * $i ) > $i ).

tff(decl_1178,type,
    esk27_1: $i > $i ).

tff(decl_1179,type,
    esk28_1: $i > $i ).

tff(decl_1180,type,
    esk29_3: ( $i * $i * $i ) > $i ).

tff(decl_1181,type,
    esk30_3: ( $i * $i * $i ) > $i ).

tff(decl_1182,type,
    esk31_2: ( $i * $i ) > $i ).

tff(decl_1183,type,
    esk32_3: ( $i * $i * $i ) > $i ).

tff(decl_1184,type,
    esk33_2: ( $i * $i ) > $i ).

tff(decl_1185,type,
    esk34_3: ( $i * $i * $i ) > $i ).

tff(decl_1186,type,
    esk35_1: $i > $i ).

tff(decl_1187,type,
    esk36_1: $i > $i ).

tff(decl_1188,type,
    esk37_1: $i > $i ).

tff(decl_1189,type,
    esk38_0: $i ).

tff(decl_1190,type,
    esk39_1: $i > $i ).

tff(decl_1191,type,
    esk40_2: ( $i * $i ) > $i ).

tff(decl_1192,type,
    esk41_2: ( $i * $i ) > $i ).

tff(decl_1193,type,
    esk42_2: ( $i * $i ) > $i ).

tff(decl_1194,type,
    esk43_2: ( $i * $i ) > $i ).

tff(decl_1195,type,
    esk44_2: ( $i * $i ) > $i ).

tff(decl_1196,type,
    esk45_1: $i > $i ).

tff(decl_1197,type,
    esk46_1: $i > $i ).

tff(decl_1198,type,
    esk47_2: ( $i * $i ) > $i ).

tff(decl_1199,type,
    esk48_0: $i ).

tff(decl_1200,type,
    esk49_0: $i ).

tff(decl_1201,type,
    esk50_0: $i ).

tff(decl_1202,type,
    esk51_0: $i ).

tff(decl_1203,type,
    esk52_2: ( $i * $i ) > $i ).

tff(decl_1204,type,
    esk53_2: ( $i * $i ) > $i ).

tff(decl_1205,type,
    esk54_2: ( $i * $i ) > $i ).

tff(decl_1206,type,
    esk55_2: ( $i * $i ) > $i ).

tff(decl_1207,type,
    esk56_1: $i > $i ).

tff(decl_1208,type,
    esk57_0: $i ).

tff(decl_1209,type,
    esk58_0: $i ).

tff(decl_1210,type,
    esk59_1: $i > $i ).

tff(decl_1211,type,
    esk60_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1212,type,
    esk61_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_1213,type,
    esk62_2: ( $i * $i ) > $i ).

tff(decl_1214,type,
    esk63_2: ( $i * $i ) > $i ).

tff(decl_1215,type,
    esk64_2: ( $i * $i ) > $i ).

tff(decl_1216,type,
    esk65_0: $i ).

tff(decl_1217,type,
    esk66_1: $i > $i ).

tff(decl_1218,type,
    esk67_1: $i > $i ).

tff(decl_1219,type,
    esk68_1: $i > $i ).

tff(decl_1220,type,
    esk69_1: $i > $i ).

tff(decl_1221,type,
    esk70_0: $i ).

tff(decl_1222,type,
    esk71_3: ( $i * $i * $i ) > $i ).

tff(decl_1223,type,
    esk72_3: ( $i * $i * $i ) > $i ).

tff(decl_1224,type,
    esk73_2: ( $i * $i ) > $i ).

tff(decl_1225,type,
    esk74_2: ( $i * $i ) > $i ).

tff(decl_1226,type,
    esk75_0: $i ).

tff(decl_1227,type,
    esk76_0: $i ).

tff(decl_1228,type,
    esk77_0: $i ).

tff(decl_1229,type,
    esk78_2: ( $i * $i ) > $i ).

tff(decl_1230,type,
    esk79_2: ( $i * $i ) > $i ).

tff(decl_1231,type,
    esk80_2: ( $i * $i ) > $i ).

tff(decl_1232,type,
    esk81_2: ( $i * $i ) > $i ).

fof(dt_k9_conlat_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1)
        & ~ v7_conlat_1(X2,X1)
        & v9_conlat_1(X2,X1)
        & l3_conlat_1(X2,X1) )
     => ( v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
        & ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
        & v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
        & l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_conlat_2) ).

fof(t20_conlat_2,conjecture,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & v4_conlat_1(X1)
        & l2_conlat_1(X1) )
     => ! [X2] :
          ( ( v6_conlat_1(X2,X1)
            & ~ v7_conlat_1(X2,X1)
            & v9_conlat_1(X2,X1)
            & l3_conlat_1(X2,X1) )
         => k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_conlat_2) ).

fof(d8_conlat_2,axiom,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1) )
     => ! [X2] :
          ( l3_conlat_1(X2,X1)
         => ! [X3] :
              ( ( v6_conlat_1(X3,k7_conlat_2(X1))
                & l3_conlat_1(X3,k7_conlat_2(X1)) )
             => ( X3 = k8_conlat_2(X1,X2)
              <=> ( u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2)
                  & u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_conlat_2) ).

fof(dt_k8_conlat_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1)
        & l3_conlat_1(X2,X1) )
     => ( v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
        & l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_conlat_2) ).

fof(redefinition_k9_conlat_2,axiom,
    ! [X1,X2] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1)
        & ~ v7_conlat_1(X2,X1)
        & v9_conlat_1(X2,X1)
        & l3_conlat_1(X2,X1) )
     => k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_conlat_2) ).

fof(dt_k7_conlat_2,axiom,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1) )
     => ( ~ v3_conlat_1(k7_conlat_2(X1))
        & v4_conlat_1(k7_conlat_2(X1))
        & l2_conlat_1(k7_conlat_2(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_conlat_2) ).

fof(t17_conlat_2,axiom,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & v4_conlat_1(X1)
        & l2_conlat_1(X1) )
     => k7_conlat_2(k7_conlat_2(X1)) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_conlat_2) ).

fof(abstractness_v6_conlat_1,axiom,
    ! [X1,X2] :
      ( ( l1_conlat_1(X1)
        & l3_conlat_1(X2,X1) )
     => ( v6_conlat_1(X2,X1)
       => X2 = g3_conlat_1(X1,u4_conlat_1(X1,X2),u5_conlat_1(X1,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+567.ax',abstractness_v6_conlat_1) ).

fof(dt_l2_conlat_1,axiom,
    ! [X1] :
      ( l2_conlat_1(X1)
     => l1_conlat_1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+567.ax',dt_l2_conlat_1) ).

fof(c_0_9,plain,
    ! [X1,X2] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1)
        & ~ v7_conlat_1(X2,X1)
        & v9_conlat_1(X2,X1)
        & l3_conlat_1(X2,X1) )
     => ( v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
        & ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
        & v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
        & l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
    inference(fof_simplification,[status(thm)],[dt_k9_conlat_2]) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X1] :
        ( ( ~ v3_conlat_1(X1)
          & v4_conlat_1(X1)
          & l2_conlat_1(X1) )
       => ! [X2] :
            ( ( v6_conlat_1(X2,X1)
              & ~ v7_conlat_1(X2,X1)
              & v9_conlat_1(X2,X1)
              & l3_conlat_1(X2,X1) )
           => k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t20_conlat_2])]) ).

fof(c_0_11,plain,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1) )
     => ! [X2] :
          ( l3_conlat_1(X2,X1)
         => ! [X3] :
              ( ( v6_conlat_1(X3,k7_conlat_2(X1))
                & l3_conlat_1(X3,k7_conlat_2(X1)) )
             => ( X3 = k8_conlat_2(X1,X2)
              <=> ( u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2)
                  & u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[d8_conlat_2]) ).

fof(c_0_12,plain,
    ! [X1,X2] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1)
        & l3_conlat_1(X2,X1) )
     => ( v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
        & l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
    inference(fof_simplification,[status(thm)],[dt_k8_conlat_2]) ).

fof(c_0_13,plain,
    ! [X1,X2] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1)
        & ~ v7_conlat_1(X2,X1)
        & v9_conlat_1(X2,X1)
        & l3_conlat_1(X2,X1) )
     => k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2) ),
    inference(fof_simplification,[status(thm)],[redefinition_k9_conlat_2]) ).

fof(c_0_14,plain,
    ! [X16,X17] :
      ( ( v6_conlat_1(k9_conlat_2(X16,X17),k7_conlat_2(X16))
        | v3_conlat_1(X16)
        | ~ l2_conlat_1(X16)
        | v7_conlat_1(X17,X16)
        | ~ v9_conlat_1(X17,X16)
        | ~ l3_conlat_1(X17,X16) )
      & ( ~ v7_conlat_1(k9_conlat_2(X16,X17),k7_conlat_2(X16))
        | v3_conlat_1(X16)
        | ~ l2_conlat_1(X16)
        | v7_conlat_1(X17,X16)
        | ~ v9_conlat_1(X17,X16)
        | ~ l3_conlat_1(X17,X16) )
      & ( v9_conlat_1(k9_conlat_2(X16,X17),k7_conlat_2(X16))
        | v3_conlat_1(X16)
        | ~ l2_conlat_1(X16)
        | v7_conlat_1(X17,X16)
        | ~ v9_conlat_1(X17,X16)
        | ~ l3_conlat_1(X17,X16) )
      & ( l3_conlat_1(k9_conlat_2(X16,X17),k7_conlat_2(X16))
        | v3_conlat_1(X16)
        | ~ l2_conlat_1(X16)
        | v7_conlat_1(X17,X16)
        | ~ v9_conlat_1(X17,X16)
        | ~ l3_conlat_1(X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).

fof(c_0_15,negated_conjecture,
    ( ~ v3_conlat_1(esk1_0)
    & v4_conlat_1(esk1_0)
    & l2_conlat_1(esk1_0)
    & v6_conlat_1(esk2_0,esk1_0)
    & ~ v7_conlat_1(esk2_0,esk1_0)
    & v9_conlat_1(esk2_0,esk1_0)
    & l3_conlat_1(esk2_0,esk1_0)
    & k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).

fof(c_0_16,plain,
    ! [X39,X40,X41] :
      ( ( u4_conlat_1(k7_conlat_2(X39),X41) = u5_conlat_1(X39,X40)
        | X41 != k8_conlat_2(X39,X40)
        | ~ v6_conlat_1(X41,k7_conlat_2(X39))
        | ~ l3_conlat_1(X41,k7_conlat_2(X39))
        | ~ l3_conlat_1(X40,X39)
        | v3_conlat_1(X39)
        | ~ l2_conlat_1(X39) )
      & ( u5_conlat_1(k7_conlat_2(X39),X41) = u4_conlat_1(X39,X40)
        | X41 != k8_conlat_2(X39,X40)
        | ~ v6_conlat_1(X41,k7_conlat_2(X39))
        | ~ l3_conlat_1(X41,k7_conlat_2(X39))
        | ~ l3_conlat_1(X40,X39)
        | v3_conlat_1(X39)
        | ~ l2_conlat_1(X39) )
      & ( u4_conlat_1(k7_conlat_2(X39),X41) != u5_conlat_1(X39,X40)
        | u5_conlat_1(k7_conlat_2(X39),X41) != u4_conlat_1(X39,X40)
        | X41 = k8_conlat_2(X39,X40)
        | ~ v6_conlat_1(X41,k7_conlat_2(X39))
        | ~ l3_conlat_1(X41,k7_conlat_2(X39))
        | ~ l3_conlat_1(X40,X39)
        | v3_conlat_1(X39)
        | ~ l2_conlat_1(X39) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

fof(c_0_17,plain,
    ! [X37,X38] :
      ( ( v6_conlat_1(k8_conlat_2(X37,X38),k7_conlat_2(X37))
        | v3_conlat_1(X37)
        | ~ l2_conlat_1(X37)
        | ~ l3_conlat_1(X38,X37) )
      & ( l3_conlat_1(k8_conlat_2(X37,X38),k7_conlat_2(X37))
        | v3_conlat_1(X37)
        | ~ l2_conlat_1(X37)
        | ~ l3_conlat_1(X38,X37) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

fof(c_0_18,plain,
    ! [X18,X19] :
      ( v3_conlat_1(X18)
      | ~ l2_conlat_1(X18)
      | v7_conlat_1(X19,X18)
      | ~ v9_conlat_1(X19,X18)
      | ~ l3_conlat_1(X19,X18)
      | k9_conlat_2(X18,X19) = k8_conlat_2(X18,X19) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).

cnf(c_0_19,plain,
    ( v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
    | v3_conlat_1(X1)
    | v7_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1)
    | ~ v9_conlat_1(X2,X1)
    | ~ l3_conlat_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    v9_conlat_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    l3_conlat_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    l2_conlat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    ~ v7_conlat_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    ~ v3_conlat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_25,plain,
    ( l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
    | v3_conlat_1(X1)
    | v7_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1)
    | ~ v9_conlat_1(X2,X1)
    | ~ l3_conlat_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_26,plain,
    ( v3_conlat_1(X1)
    | v7_conlat_1(X2,X1)
    | ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
    | ~ l2_conlat_1(X1)
    | ~ v9_conlat_1(X2,X1)
    | ~ l3_conlat_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_27,plain,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & l2_conlat_1(X1) )
     => ( ~ v3_conlat_1(k7_conlat_2(X1))
        & v4_conlat_1(k7_conlat_2(X1))
        & l2_conlat_1(k7_conlat_2(X1)) ) ),
    inference(fof_simplification,[status(thm)],[dt_k7_conlat_2]) ).

cnf(c_0_28,plain,
    ( u4_conlat_1(k7_conlat_2(X1),X2) = u5_conlat_1(X1,X3)
    | v3_conlat_1(X1)
    | X2 != k8_conlat_2(X1,X3)
    | ~ v6_conlat_1(X2,k7_conlat_2(X1))
    | ~ l3_conlat_1(X2,k7_conlat_2(X1))
    | ~ l3_conlat_1(X3,X1)
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_29,plain,
    ( l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_30,plain,
    ( v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_31,plain,
    ( v3_conlat_1(X1)
    | v7_conlat_1(X2,X1)
    | k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2)
    | ~ l2_conlat_1(X1)
    | ~ v9_conlat_1(X2,X1)
    | ~ l3_conlat_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_32,plain,
    ( v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
    | v3_conlat_1(X1)
    | v7_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1)
    | ~ v9_conlat_1(X2,X1)
    | ~ l3_conlat_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_33,negated_conjecture,
    v9_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]),c_0_23]),c_0_24]) ).

cnf(c_0_34,negated_conjecture,
    l3_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_21]),c_0_22])]),c_0_23]),c_0_24]) ).

cnf(c_0_35,negated_conjecture,
    ~ v7_conlat_1(k9_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_21]),c_0_22])]),c_0_23]),c_0_24]) ).

fof(c_0_36,plain,
    ! [X20] :
      ( ( ~ v3_conlat_1(k7_conlat_2(X20))
        | v3_conlat_1(X20)
        | ~ l2_conlat_1(X20) )
      & ( v4_conlat_1(k7_conlat_2(X20))
        | v3_conlat_1(X20)
        | ~ l2_conlat_1(X20) )
      & ( l2_conlat_1(k7_conlat_2(X20))
        | v3_conlat_1(X20)
        | ~ l2_conlat_1(X20) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).

fof(c_0_37,plain,
    ! [X1] :
      ( ( ~ v3_conlat_1(X1)
        & v4_conlat_1(X1)
        & l2_conlat_1(X1) )
     => k7_conlat_2(k7_conlat_2(X1)) = X1 ),
    inference(fof_simplification,[status(thm)],[t17_conlat_2]) ).

cnf(c_0_38,plain,
    ( u5_conlat_1(k7_conlat_2(X1),X2) = u4_conlat_1(X1,X3)
    | v3_conlat_1(X1)
    | X2 != k8_conlat_2(X1,X3)
    | ~ v6_conlat_1(X2,k7_conlat_2(X1))
    | ~ l3_conlat_1(X2,k7_conlat_2(X1))
    | ~ l3_conlat_1(X3,X1)
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_39,plain,
    ( u4_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u5_conlat_1(X1,X2)
    | v3_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_28]),c_0_29]),c_0_30]) ).

cnf(c_0_40,negated_conjecture,
    k8_conlat_2(esk1_0,esk2_0) = k9_conlat_2(esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_20]),c_0_21]),c_0_22])]),c_0_23]),c_0_24]) ).

cnf(c_0_41,negated_conjecture,
    ( v6_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0)))
    | v3_conlat_1(k7_conlat_2(esk1_0))
    | ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),c_0_35]) ).

cnf(c_0_42,plain,
    ( l2_conlat_1(k7_conlat_2(X1))
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_43,plain,
    ! [X21] :
      ( v3_conlat_1(X21)
      | ~ v4_conlat_1(X21)
      | ~ l2_conlat_1(X21)
      | k7_conlat_2(k7_conlat_2(X21)) = X21 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])]) ).

cnf(c_0_44,negated_conjecture,
    ( l3_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0)))
    | v3_conlat_1(k7_conlat_2(esk1_0))
    | ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_33]),c_0_34])]),c_0_35]) ).

cnf(c_0_45,plain,
    ( u5_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u4_conlat_1(X1,X2)
    | v3_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_38]),c_0_29]),c_0_30]) ).

cnf(c_0_46,negated_conjecture,
    u4_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = u5_conlat_1(esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_21]),c_0_40]),c_0_22])]),c_0_24]) ).

fof(c_0_47,plain,
    ! [X232,X233] :
      ( ~ l1_conlat_1(X232)
      | ~ l3_conlat_1(X233,X232)
      | ~ v6_conlat_1(X233,X232)
      | X233 = g3_conlat_1(X232,u4_conlat_1(X232,X233),u5_conlat_1(X232,X233)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v6_conlat_1])]) ).

cnf(c_0_48,negated_conjecture,
    ( v6_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0)))
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_22])]),c_0_24]) ).

cnf(c_0_49,plain,
    ( v3_conlat_1(X1)
    | k7_conlat_2(k7_conlat_2(X1)) = X1
    | ~ v4_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_50,negated_conjecture,
    v4_conlat_1(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_51,negated_conjecture,
    ( l3_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0)))
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_42]),c_0_22])]),c_0_24]) ).

cnf(c_0_52,negated_conjecture,
    ( u5_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u5_conlat_1(esk1_0,esk2_0)
    | v3_conlat_1(k7_conlat_2(esk1_0))
    | ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_34]),c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    ( k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
    | v3_conlat_1(k7_conlat_2(esk1_0))
    | ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_33]),c_0_34])]),c_0_35]) ).

cnf(c_0_54,negated_conjecture,
    ( u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u5_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
    | v3_conlat_1(k7_conlat_2(esk1_0))
    | ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_39,c_0_34]) ).

cnf(c_0_55,negated_conjecture,
    u5_conlat_1(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = u4_conlat_1(esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_21]),c_0_40]),c_0_22])]),c_0_24]) ).

cnf(c_0_56,plain,
    ( X2 = g3_conlat_1(X1,u4_conlat_1(X1,X2),u5_conlat_1(X1,X2))
    | ~ l1_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ v6_conlat_1(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_57,negated_conjecture,
    ( v6_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),esk1_0)
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_22])]),c_0_24]) ).

cnf(c_0_58,negated_conjecture,
    ( l3_conlat_1(k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)),esk1_0)
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_49]),c_0_50]),c_0_22])]),c_0_24]) ).

fof(c_0_59,plain,
    ! [X222] :
      ( ~ l2_conlat_1(X222)
      | l1_conlat_1(X222) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_conlat_1])]) ).

cnf(c_0_60,negated_conjecture,
    ( u5_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u5_conlat_1(esk1_0,esk2_0)
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_42]),c_0_22])]),c_0_24]) ).

cnf(c_0_61,negated_conjecture,
    ( k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_42]),c_0_22])]),c_0_24]) ).

cnf(c_0_62,negated_conjecture,
    ( u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u4_conlat_1(esk1_0,esk2_0)
    | v3_conlat_1(k7_conlat_2(esk1_0))
    | ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(rw,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_63,negated_conjecture,
    ( g3_conlat_1(esk1_0,u4_conlat_1(esk1_0,k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))),u5_conlat_1(esk1_0,k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)))) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
    | v3_conlat_1(k7_conlat_2(esk1_0))
    | ~ l1_conlat_1(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).

cnf(c_0_64,plain,
    ( l1_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_65,negated_conjecture,
    ( u5_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u5_conlat_1(esk1_0,esk2_0)
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_66,negated_conjecture,
    ( u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u4_conlat_1(esk1_0,esk2_0)
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_42]),c_0_22])]),c_0_24]) ).

cnf(c_0_67,negated_conjecture,
    v6_conlat_1(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_68,negated_conjecture,
    ( g3_conlat_1(esk1_0,u4_conlat_1(esk1_0,k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))),u5_conlat_1(esk1_0,k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)))) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_22])]) ).

cnf(c_0_69,negated_conjecture,
    ( u5_conlat_1(esk1_0,k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u5_conlat_1(esk1_0,esk2_0)
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_49]),c_0_50]),c_0_22])]),c_0_24]) ).

cnf(c_0_70,negated_conjecture,
    ( u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u4_conlat_1(esk1_0,esk2_0)
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_66,c_0_61]) ).

cnf(c_0_71,negated_conjecture,
    ( g3_conlat_1(esk1_0,u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(esk1_0,esk2_0)) = esk2_0
    | ~ l1_conlat_1(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_67]),c_0_21])]) ).

cnf(c_0_72,negated_conjecture,
    ( g3_conlat_1(esk1_0,u4_conlat_1(esk1_0,k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))),u5_conlat_1(esk1_0,esk2_0)) = k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_73,negated_conjecture,
    ( u4_conlat_1(esk1_0,k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0))) = u4_conlat_1(esk1_0,esk2_0)
    | v3_conlat_1(k7_conlat_2(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_49]),c_0_50]),c_0_22])]),c_0_24]) ).

cnf(c_0_74,negated_conjecture,
    g3_conlat_1(esk1_0,u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(esk1_0,esk2_0)) = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_64]),c_0_22])]) ).

cnf(c_0_75,negated_conjecture,
    k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_76,plain,
    ( v3_conlat_1(X1)
    | ~ v3_conlat_1(k7_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_77,negated_conjecture,
    v3_conlat_1(k7_conlat_2(esk1_0)),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_75]) ).

cnf(c_0_78,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_22])]),c_0_24]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : LAT345+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
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Thu Aug 24 06:52:27 EDT 2023
% 0.11/0.31  % CPUTime  : 
% 0.16/0.50  start to proof: theBenchmark
% 92.28/92.43  % Version  : CSE_E---1.5
% 92.28/92.43  % Problem  : theBenchmark.p
% 92.28/92.43  % Proof found
% 92.28/92.43  % SZS status Theorem for theBenchmark.p
% 92.28/92.43  % SZS output start Proof
% See solution above
% 92.43/92.45  % Total time : 91.809000 s
% 92.43/92.45  % SZS output end Proof
% 92.43/92.45  % Total time : 91.927000 s
%------------------------------------------------------------------------------