TSTP Solution File: GRP644+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP644+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 : n023.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 00:22:27 EDT 2023
% Result : Theorem 2.46s 2.50s
% Output : CNFRefutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1237
% Syntax : Number of formulae : 1312 ( 25 unt;1222 typ; 0 def)
% Number of atoms : 501 ( 56 equ)
% Maximal formula atoms : 43 ( 5 avg)
% Number of connectives : 635 ( 224 ~; 228 |; 115 &)
% ( 9 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2154 (1017 >;1137 *; 0 +; 0 <<)
% Number of predicates : 326 ( 324 usr; 1 prp; 0-4 aty)
% Number of functors : 898 ( 898 usr; 205 con; 0-9 aty)
% Number of variables : 138 ( 1 sgn; 93 !; 4 ?; 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,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_223,type,
k1_funct_2: ( $i * $i ) > $i ).
tff(decl_224,type,
v3_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_225,type,
v2_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_226,type,
k2_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_227,type,
k3_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_228,type,
k4_funct_2: ( $i * $i * $i ) > $i ).
tff(decl_229,type,
k5_funct_2: ( $i * $i * $i ) > $i ).
tff(decl_230,type,
k6_funct_2: ( $i * $i ) > $i ).
tff(decl_231,type,
k9_funct_2: ( $i * $i * $i ) > $i ).
tff(decl_232,type,
f1_s1_funct_2: $i ).
tff(decl_233,type,
f2_s1_funct_2: $i ).
tff(decl_234,type,
p1_s1_funct_2: ( $i * $i ) > $o ).
tff(decl_235,type,
f1_s2_funct_2: $i ).
tff(decl_236,type,
f3_s2_funct_2: $i > $i ).
tff(decl_237,type,
f2_s2_funct_2: $i ).
tff(decl_238,type,
f1_s3_funct_2: $i ).
tff(decl_239,type,
f2_s3_funct_2: $i ).
tff(decl_240,type,
p1_s3_funct_2: ( $i * $i ) > $o ).
tff(decl_241,type,
k8_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_242,type,
f1_s4_funct_2: $i ).
tff(decl_243,type,
f2_s4_funct_2: $i ).
tff(decl_244,type,
f3_s4_funct_2: $i > $i ).
tff(decl_245,type,
f1_s5_funct_2: $i ).
tff(decl_246,type,
f2_s5_funct_2: $i ).
tff(decl_247,type,
f3_s5_funct_2: $i ).
tff(decl_248,type,
p1_s5_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_249,type,
f1_s6_funct_2: $i ).
tff(decl_250,type,
f2_s6_funct_2: $i ).
tff(decl_251,type,
f4_s6_funct_2: ( $i * $i ) > $i ).
tff(decl_252,type,
f3_s6_funct_2: $i ).
tff(decl_253,type,
f1_s7_funct_2: $i ).
tff(decl_254,type,
f2_s7_funct_2: $i ).
tff(decl_255,type,
f3_s7_funct_2: $i ).
tff(decl_256,type,
p1_s7_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_257,type,
f1_s8_funct_2: $i ).
tff(decl_258,type,
f2_s8_funct_2: $i ).
tff(decl_259,type,
f3_s8_funct_2: $i ).
tff(decl_260,type,
f4_s8_funct_2: ( $i * $i ) > $i ).
tff(decl_261,type,
f1_s9_funct_2: $i ).
tff(decl_262,type,
p1_s9_funct_2: $i > $o ).
tff(decl_263,type,
f3_s9_funct_2: $i > $i ).
tff(decl_264,type,
f2_s9_funct_2: $i ).
tff(decl_265,type,
f4_s9_funct_2: $i > $i ).
tff(decl_266,type,
f1_s10_funct_2: $i ).
tff(decl_267,type,
f2_s10_funct_2: $i ).
tff(decl_268,type,
f3_s10_funct_2: $i ).
tff(decl_269,type,
f4_s10_funct_2: $i ).
tff(decl_270,type,
f5_s10_funct_2: $i > $i ).
tff(decl_271,type,
f3_s11_funct_2: $i ).
tff(decl_272,type,
f4_s11_funct_2: $i ).
tff(decl_273,type,
f1_s11_funct_2: $i ).
tff(decl_274,type,
f2_s11_funct_2: $i ).
tff(decl_275,type,
f5_s11_funct_2: $i ).
tff(decl_276,type,
f6_s11_funct_2: $i ).
tff(decl_277,type,
f7_s11_funct_2: $i > $i ).
tff(decl_278,type,
f1_s12_funct_2: $i ).
tff(decl_279,type,
f3_s12_funct_2: $i > $i ).
tff(decl_280,type,
f2_s12_funct_2: $i ).
tff(decl_281,type,
f1_s13_funct_2: $i ).
tff(decl_282,type,
f3_s13_funct_2: $i > $i ).
tff(decl_283,type,
f2_s13_funct_2: $i ).
tff(decl_284,type,
f1_s14_funct_2: $i ).
tff(decl_285,type,
f2_s14_funct_2: $i ).
tff(decl_286,type,
p1_s14_funct_2: ( $i * $i ) > $o ).
tff(decl_287,type,
k7_funct_2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_288,type,
k4_domain_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_289,type,
k5_domain_1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_290,type,
k1_domain_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_291,type,
k2_domain_1: ( $i * $i * $i ) > $i ).
tff(decl_292,type,
k3_domain_1: ( $i * $i * $i ) > $i ).
tff(decl_293,type,
k6_domain_1: ( $i * $i ) > $i ).
tff(decl_294,type,
k7_domain_1: ( $i * $i * $i ) > $i ).
tff(decl_295,type,
k8_domain_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_296,type,
k9_domain_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_297,type,
k10_domain_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_298,type,
k11_domain_1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_299,type,
k12_domain_1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_300,type,
k13_domain_1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_301,type,
k14_domain_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_302,type,
k15_domain_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_303,type,
k16_domain_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_304,type,
k17_domain_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_305,type,
a_1_0_domain_1: $i > $i ).
tff(decl_306,type,
a_2_0_domain_1: ( $i * $i ) > $i ).
tff(decl_307,type,
a_3_0_domain_1: ( $i * $i * $i ) > $i ).
tff(decl_308,type,
a_4_0_domain_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_309,type,
a_2_1_domain_1: ( $i * $i ) > $i ).
tff(decl_310,type,
a_4_1_domain_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_311,type,
a_6_0_domain_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_312,type,
a_8_0_domain_1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_313,type,
a_1_1_domain_1: $i > $i ).
tff(decl_314,type,
a_2_2_domain_1: ( $i * $i ) > $i ).
tff(decl_315,type,
a_3_1_domain_1: ( $i * $i * $i ) > $i ).
tff(decl_316,type,
a_3_2_domain_1: ( $i * $i * $i ) > $i ).
tff(decl_317,type,
a_3_3_domain_1: ( $i * $i * $i ) > $i ).
tff(decl_318,type,
a_3_4_domain_1: ( $i * $i * $i ) > $i ).
tff(decl_319,type,
a_3_5_domain_1: ( $i * $i * $i ) > $i ).
tff(decl_320,type,
a_3_6_domain_1: ( $i * $i * $i ) > $i ).
tff(decl_321,type,
a_3_7_domain_1: ( $i * $i * $i ) > $i ).
tff(decl_322,type,
a_1_2_domain_1: $i > $i ).
tff(decl_323,type,
a_2_3_domain_1: ( $i * $i ) > $i ).
tff(decl_324,type,
a_3_8_domain_1: ( $i * $i * $i ) > $i ).
tff(decl_325,type,
a_4_2_domain_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_326,type,
p1_s5_domain_1: $i > $o ).
tff(decl_327,type,
p2_s5_domain_1: $i > $o ).
tff(decl_328,type,
a_1_3_domain_1: $i > $i ).
tff(decl_329,type,
a_1_4_domain_1: $i > $i ).
tff(decl_330,type,
p1_s6_domain_1: $i > $o ).
tff(decl_331,type,
p2_s6_domain_1: $i > $o ).
tff(decl_332,type,
a_1_5_domain_1: $i > $i ).
tff(decl_333,type,
a_1_6_domain_1: $i > $i ).
tff(decl_334,type,
a_0_0_domain_1: $i ).
tff(decl_335,type,
f1_s7_domain_1: $i ).
tff(decl_336,type,
a_0_1_domain_1: $i ).
tff(decl_337,type,
f2_s8_domain_1: $i ).
tff(decl_338,type,
a_0_2_domain_1: $i ).
tff(decl_339,type,
f3_s9_domain_1: $i ).
tff(decl_340,type,
a_0_3_domain_1: $i ).
tff(decl_341,type,
a_0_4_domain_1: $i ).
tff(decl_342,type,
a_0_5_domain_1: $i ).
tff(decl_343,type,
p1_s1_domain_1: $i > $o ).
tff(decl_344,type,
p1_s2_domain_1: ( $i * $i ) > $o ).
tff(decl_345,type,
p1_s3_domain_1: ( $i * $i * $i ) > $o ).
tff(decl_346,type,
p1_s4_domain_1: ( $i * $i * $i * $i ) > $o ).
tff(decl_347,type,
p1_s7_domain_1: $i > $o ).
tff(decl_348,type,
f1_s8_domain_1: $i ).
tff(decl_349,type,
f3_s8_domain_1: $i > $i ).
tff(decl_350,type,
p1_s8_domain_1: $i > $o ).
tff(decl_351,type,
f1_s9_domain_1: $i ).
tff(decl_352,type,
f2_s9_domain_1: $i ).
tff(decl_353,type,
f4_s9_domain_1: ( $i * $i ) > $i ).
tff(decl_354,type,
p1_s9_domain_1: ( $i * $i ) > $o ).
tff(decl_355,type,
f1_s10_domain_1: $i ).
tff(decl_356,type,
p1_s10_domain_1: $i > $o ).
tff(decl_357,type,
p2_s10_domain_1: $i > $o ).
tff(decl_358,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_359,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_360,type,
k1_binop_1: ( $i * $i * $i ) > $i ).
tff(decl_361,type,
k2_binop_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_362,type,
v3_binop_1: ( $i * $i ) > $o ).
tff(decl_363,type,
r1_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_364,type,
r2_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_365,type,
r3_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_366,type,
k3_binop_1: ( $i * $i ) > $i ).
tff(decl_367,type,
r4_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_368,type,
r5_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_369,type,
r6_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_370,type,
r7_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_371,type,
f1_s1_binop_1: $i ).
tff(decl_372,type,
p1_s1_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_373,type,
f1_s2_binop_1: $i ).
tff(decl_374,type,
f2_s2_binop_1: ( $i * $i ) > $i ).
tff(decl_375,type,
k4_funct_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_376,type,
k2_funcop_1: ( $i * $i ) > $i ).
tff(decl_377,type,
k1_funct_4: ( $i * $i ) > $i ).
tff(decl_378,type,
k2_funct_4: $i > $i ).
tff(decl_379,type,
k3_funct_4: ( $i * $i ) > $i ).
tff(decl_380,type,
k5_funct_4: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_381,type,
k5_ordinal2: $i ).
tff(decl_382,type,
v1_ordinal2: $i > $o ).
tff(decl_383,type,
k1_ordinal2: $i > $i ).
tff(decl_384,type,
k2_ordinal2: $i > $i ).
tff(decl_385,type,
k3_ordinal2: $i > $i ).
tff(decl_386,type,
k4_ordinal2: $i ).
tff(decl_387,type,
k6_ordinal2: $i > $i ).
tff(decl_388,type,
k7_ordinal2: $i > $i ).
tff(decl_389,type,
k8_ordinal2: $i > $i ).
tff(decl_390,type,
k9_ordinal2: $i > $i ).
tff(decl_391,type,
k10_ordinal2: $i > $i ).
tff(decl_392,type,
k11_ordinal2: $i > $i ).
tff(decl_393,type,
r1_ordinal2: ( $i * $i ) > $o ).
tff(decl_394,type,
k12_ordinal2: $i > $i ).
tff(decl_395,type,
k13_ordinal2: ( $i * $i ) > $i ).
tff(decl_396,type,
v2_ordinal2: $i > $o ).
tff(decl_397,type,
v3_ordinal2: $i > $o ).
tff(decl_398,type,
k14_ordinal2: ( $i * $i ) > $i ).
tff(decl_399,type,
k15_ordinal2: ( $i * $i ) > $i ).
tff(decl_400,type,
k16_ordinal2: ( $i * $i ) > $i ).
tff(decl_401,type,
v4_ordinal2: $i > $o ).
tff(decl_402,type,
p1_s1_ordinal2: $i > $o ).
tff(decl_403,type,
f1_s2_ordinal2: $i ).
tff(decl_404,type,
f2_s2_ordinal2: $i > $i ).
tff(decl_405,type,
f1_s3_ordinal2: $i ).
tff(decl_406,type,
f2_s3_ordinal2: $i > $i ).
tff(decl_407,type,
f5_s4_ordinal2: $i ).
tff(decl_408,type,
f1_s4_ordinal2: $i ).
tff(decl_409,type,
f2_s4_ordinal2: $i ).
tff(decl_410,type,
f3_s4_ordinal2: ( $i * $i ) > $i ).
tff(decl_411,type,
f4_s4_ordinal2: ( $i * $i ) > $i ).
tff(decl_412,type,
f6_s4_ordinal2: $i ).
tff(decl_413,type,
f1_s5_ordinal2: $i ).
tff(decl_414,type,
f2_s5_ordinal2: $i ).
tff(decl_415,type,
f3_s5_ordinal2: ( $i * $i ) > $i ).
tff(decl_416,type,
f4_s5_ordinal2: ( $i * $i ) > $i ).
tff(decl_417,type,
f2_s6_ordinal2: $i > $i ).
tff(decl_418,type,
f4_s6_ordinal2: $i ).
tff(decl_419,type,
f5_s6_ordinal2: ( $i * $i ) > $i ).
tff(decl_420,type,
f6_s6_ordinal2: ( $i * $i ) > $i ).
tff(decl_421,type,
f1_s6_ordinal2: $i ).
tff(decl_422,type,
f3_s6_ordinal2: $i ).
tff(decl_423,type,
f1_s7_ordinal2: $i ).
tff(decl_424,type,
f2_s7_ordinal2: $i ).
tff(decl_425,type,
f3_s7_ordinal2: ( $i * $i ) > $i ).
tff(decl_426,type,
f4_s7_ordinal2: ( $i * $i ) > $i ).
tff(decl_427,type,
f1_s8_ordinal2: $i > $i ).
tff(decl_428,type,
f2_s8_ordinal2: $i ).
tff(decl_429,type,
f3_s8_ordinal2: ( $i * $i ) > $i ).
tff(decl_430,type,
f4_s8_ordinal2: ( $i * $i ) > $i ).
tff(decl_431,type,
f4_s9_ordinal2: $i > $i ).
tff(decl_432,type,
f1_s9_ordinal2: $i ).
tff(decl_433,type,
f2_s9_ordinal2: ( $i * $i ) > $i ).
tff(decl_434,type,
f3_s9_ordinal2: ( $i * $i ) > $i ).
tff(decl_435,type,
f3_s10_ordinal2: $i > $i ).
tff(decl_436,type,
f4_s10_ordinal2: $i ).
tff(decl_437,type,
f5_s10_ordinal2: ( $i * $i ) > $i ).
tff(decl_438,type,
f6_s10_ordinal2: ( $i * $i ) > $i ).
tff(decl_439,type,
f2_s10_ordinal2: $i ).
tff(decl_440,type,
f1_s10_ordinal2: $i ).
tff(decl_441,type,
f1_s11_ordinal2: $i ).
tff(decl_442,type,
f2_s11_ordinal2: $i ).
tff(decl_443,type,
f3_s11_ordinal2: ( $i * $i ) > $i ).
tff(decl_444,type,
f4_s11_ordinal2: ( $i * $i ) > $i ).
tff(decl_445,type,
f2_s12_ordinal2: $i > $i ).
tff(decl_446,type,
f4_s12_ordinal2: $i ).
tff(decl_447,type,
f5_s12_ordinal2: ( $i * $i ) > $i ).
tff(decl_448,type,
f6_s12_ordinal2: ( $i * $i ) > $i ).
tff(decl_449,type,
f1_s12_ordinal2: $i ).
tff(decl_450,type,
f3_s12_ordinal2: $i ).
tff(decl_451,type,
f1_s13_ordinal2: $i ).
tff(decl_452,type,
f2_s13_ordinal2: $i ).
tff(decl_453,type,
f3_s13_ordinal2: ( $i * $i ) > $i ).
tff(decl_454,type,
f4_s13_ordinal2: ( $i * $i ) > $i ).
tff(decl_455,type,
f1_s14_ordinal2: $i > $i ).
tff(decl_456,type,
f2_s14_ordinal2: $i ).
tff(decl_457,type,
f3_s14_ordinal2: ( $i * $i ) > $i ).
tff(decl_458,type,
f4_s14_ordinal2: ( $i * $i ) > $i ).
tff(decl_459,type,
f4_s15_ordinal2: $i > $i ).
tff(decl_460,type,
f1_s15_ordinal2: $i ).
tff(decl_461,type,
f2_s15_ordinal2: ( $i * $i ) > $i ).
tff(decl_462,type,
f3_s15_ordinal2: ( $i * $i ) > $i ).
tff(decl_463,type,
f3_s16_ordinal2: $i > $i ).
tff(decl_464,type,
f4_s16_ordinal2: $i ).
tff(decl_465,type,
f5_s16_ordinal2: ( $i * $i ) > $i ).
tff(decl_466,type,
f6_s16_ordinal2: ( $i * $i ) > $i ).
tff(decl_467,type,
f2_s16_ordinal2: $i ).
tff(decl_468,type,
f1_s16_ordinal2: $i ).
tff(decl_469,type,
v1_finset_1: $i > $o ).
tff(decl_470,type,
f1_s1_finset_1: $i ).
tff(decl_471,type,
p1_s1_finset_1: $i > $o ).
tff(decl_472,type,
f2_s1_finset_1: $i > $i ).
tff(decl_473,type,
f3_s1_finset_1: $i > $i ).
tff(decl_474,type,
f1_s2_finset_1: $i ).
tff(decl_475,type,
p1_s2_finset_1: $i > $o ).
tff(decl_476,type,
v4_finsub_1: $i > $o ).
tff(decl_477,type,
v1_finsub_1: $i > $o ).
tff(decl_478,type,
v3_finsub_1: $i > $o ).
tff(decl_479,type,
v2_finsub_1: $i > $o ).
tff(decl_480,type,
k5_finsub_1: $i > $i ).
tff(decl_481,type,
k1_finsub_1: ( $i * $i * $i ) > $i ).
tff(decl_482,type,
k2_finsub_1: ( $i * $i * $i ) > $i ).
tff(decl_483,type,
k3_finsub_1: ( $i * $i * $i ) > $i ).
tff(decl_484,type,
k4_finsub_1: ( $i * $i * $i ) > $i ).
tff(decl_485,type,
k1_numbers: $i ).
tff(decl_486,type,
k2_numbers: $i ).
tff(decl_487,type,
k3_numbers: $i ).
tff(decl_488,type,
k4_numbers: $i ).
tff(decl_489,type,
k2_arytm_2: $i ).
tff(decl_490,type,
np__0: $i ).
tff(decl_491,type,
k6_arytm_3: $i ).
tff(decl_492,type,
k5_numbers: $i ).
tff(decl_493,type,
k13_arytm_3: $i ).
tff(decl_494,type,
a_0_0_numbers: $i ).
tff(decl_495,type,
v1_xreal_0: $i > $o ).
tff(decl_496,type,
v1_xcmplx_0: $i > $o ).
tff(decl_497,type,
k4_xcmplx_0: $i > $i ).
tff(decl_498,type,
k5_xcmplx_0: $i > $i ).
tff(decl_499,type,
k2_xcmplx_0: ( $i * $i ) > $i ).
tff(decl_500,type,
k3_xcmplx_0: ( $i * $i ) > $i ).
tff(decl_501,type,
k6_xcmplx_0: ( $i * $i ) > $i ).
tff(decl_502,type,
k7_xcmplx_0: ( $i * $i ) > $i ).
tff(decl_503,type,
v2_xreal_0: $i > $o ).
tff(decl_504,type,
v3_xreal_0: $i > $o ).
tff(decl_505,type,
r1_xreal_0: ( $i * $i ) > $o ).
tff(decl_506,type,
r1_arytm_2: ( $i * $i ) > $o ).
tff(decl_507,type,
v1_int_1: $i > $o ).
tff(decl_508,type,
k3_int_1: $i > $i ).
tff(decl_509,type,
k1_real_1: $i > $i ).
tff(decl_510,type,
np__1: $i ).
tff(decl_511,type,
r1_int_1: ( $i * $i * $i ) > $o ).
tff(decl_512,type,
k1_int_1: $i > $i ).
tff(decl_513,type,
k2_int_1: $i > $i ).
tff(decl_514,type,
k4_int_1: $i > $i ).
tff(decl_515,type,
k5_int_1: ( $i * $i ) > $i ).
tff(decl_516,type,
k6_int_1: ( $i * $i ) > $i ).
tff(decl_517,type,
r2_int_1: ( $i * $i ) > $o ).
tff(decl_518,type,
p1_s1_int_1: $i > $o ).
tff(decl_519,type,
f1_s2_int_1: $i ).
tff(decl_520,type,
p1_s2_int_1: $i > $o ).
tff(decl_521,type,
f1_s3_int_1: $i ).
tff(decl_522,type,
p1_s3_int_1: $i > $o ).
tff(decl_523,type,
f1_s4_int_1: $i ).
tff(decl_524,type,
p1_s4_int_1: $i > $o ).
tff(decl_525,type,
p1_s5_int_1: $i > $o ).
tff(decl_526,type,
f1_s5_int_1: $i ).
tff(decl_527,type,
p1_s6_int_1: $i > $o ).
tff(decl_528,type,
f1_s6_int_1: $i ).
tff(decl_529,type,
v1_card_1: $i > $o ).
tff(decl_530,type,
k3_card_1: $i > $i ).
tff(decl_531,type,
k1_card_1: $i > $i ).
tff(decl_532,type,
r2_wellord2: ( $i * $i ) > $o ).
tff(decl_533,type,
v2_wellord1: $i > $o ).
tff(decl_534,type,
k2_wellord2: $i > $i ).
tff(decl_535,type,
k2_card_1: $i > $i ).
tff(decl_536,type,
v2_card_1: $i > $o ).
tff(decl_537,type,
k1_nat_1: ( $i * $i ) > $i ).
tff(decl_538,type,
k4_card_1: $i > $i ).
tff(decl_539,type,
p1_s1_card_1: $i > $o ).
tff(decl_540,type,
p1_s2_card_1: $i > $o ).
tff(decl_541,type,
v1_finseq_1: $i > $o ).
tff(decl_542,type,
k1_finseq_1: $i > $i ).
tff(decl_543,type,
m1_finseq_1: ( $i * $i ) > $o ).
tff(decl_544,type,
k5_finseq_1: $i > $i ).
tff(decl_545,type,
k10_finseq_1: ( $i * $i ) > $i ).
tff(decl_546,type,
k11_finseq_1: ( $i * $i * $i ) > $i ).
tff(decl_547,type,
k13_finseq_1: $i > $i ).
tff(decl_548,type,
v2_finseq_1: $i > $o ).
tff(decl_549,type,
k15_finseq_1: $i > $i ).
tff(decl_550,type,
k7_finseq_1: ( $i * $i ) > $i ).
tff(decl_551,type,
k16_finseq_1: ( $i * $i * $i ) > $i ).
tff(decl_552,type,
v1_fraenkel: $i > $o ).
tff(decl_553,type,
k2_finseq_1: $i > $i ).
tff(decl_554,type,
np__2: $i ).
tff(decl_555,type,
k3_finseq_1: $i > $i ).
tff(decl_556,type,
k4_finseq_1: $i > $i ).
tff(decl_557,type,
m2_finseq_1: ( $i * $i ) > $o ).
tff(decl_558,type,
k6_finseq_1: $i > $i ).
tff(decl_559,type,
k9_finseq_1: $i > $i ).
tff(decl_560,type,
np__3: $i ).
tff(decl_561,type,
k14_finseq_1: $i > $i ).
tff(decl_562,type,
k17_finseq_1: $i > $i ).
tff(decl_563,type,
f1_s1_finseq_1: $i ).
tff(decl_564,type,
p1_s1_finseq_1: ( $i * $i ) > $o ).
tff(decl_565,type,
f1_s2_finseq_1: $i ).
tff(decl_566,type,
f2_s2_finseq_1: $i > $i ).
tff(decl_567,type,
p1_s3_finseq_1: $i > $o ).
tff(decl_568,type,
f1_s4_finseq_1: $i ).
tff(decl_569,type,
p1_s4_finseq_1: $i > $o ).
tff(decl_570,type,
f2_s5_finseq_1: $i ).
tff(decl_571,type,
f1_s5_finseq_1: $i ).
tff(decl_572,type,
p1_s5_finseq_1: ( $i * $i ) > $o ).
tff(decl_573,type,
k8_finseq_1: ( $i * $i * $i ) > $i ).
tff(decl_574,type,
k12_finseq_1: ( $i * $i ) > $i ).
tff(decl_575,type,
a_1_0_finseq_1: $i > $i ).
tff(decl_576,type,
k1_orders_1: $i > $i ).
tff(decl_577,type,
m1_orders_1: ( $i * $i ) > $o ).
tff(decl_578,type,
v1_orders_1: $i > $o ).
tff(decl_579,type,
v2_orders_1: $i > $o ).
tff(decl_580,type,
v3_orders_1: $i > $o ).
tff(decl_581,type,
k2_wellord1: ( $i * $i ) > $i ).
tff(decl_582,type,
r1_orders_1: ( $i * $i ) > $o ).
tff(decl_583,type,
r2_orders_1: ( $i * $i ) > $o ).
tff(decl_584,type,
r3_orders_1: ( $i * $i ) > $o ).
tff(decl_585,type,
r2_wellord1: ( $i * $i ) > $o ).
tff(decl_586,type,
r4_orders_1: ( $i * $i ) > $o ).
tff(decl_587,type,
r5_orders_1: ( $i * $i ) > $o ).
tff(decl_588,type,
r6_orders_1: ( $i * $i ) > $o ).
tff(decl_589,type,
r7_orders_1: ( $i * $i ) > $o ).
tff(decl_590,type,
r8_orders_1: ( $i * $i ) > $o ).
tff(decl_591,type,
r9_orders_1: ( $i * $i ) > $o ).
tff(decl_592,type,
f1_s1_orders_1: $i ).
tff(decl_593,type,
p1_s1_orders_1: ( $i * $i ) > $o ).
tff(decl_594,type,
f1_s2_orders_1: $i ).
tff(decl_595,type,
p1_s2_orders_1: ( $i * $i ) > $o ).
tff(decl_596,type,
k1_eqrel_1: $i > $i ).
tff(decl_597,type,
m1_eqrel_1: ( $i * $i ) > $o ).
tff(decl_598,type,
k7_eqrel_1: ( $i * $i ) > $i ).
tff(decl_599,type,
k4_eqrel_1: ( $i * $i * $i ) > $i ).
tff(decl_600,type,
k2_eqrel_1: ( $i * $i * $i ) > $i ).
tff(decl_601,type,
k5_eqrel_1: ( $i * $i * $i ) > $i ).
tff(decl_602,type,
k3_eqrel_1: ( $i * $i * $i ) > $i ).
tff(decl_603,type,
k6_eqrel_1: ( $i * $i * $i ) > $i ).
tff(decl_604,type,
f1_s1_eqrel_1: $i ).
tff(decl_605,type,
p1_s1_eqrel_1: ( $i * $i ) > $o ).
tff(decl_606,type,
k8_eqrel_1: ( $i * $i ) > $i ).
tff(decl_607,type,
np__4: $i ).
tff(decl_608,type,
np__5: $i ).
tff(decl_609,type,
np__6: $i ).
tff(decl_610,type,
np__7: $i ).
tff(decl_611,type,
np__8: $i ).
tff(decl_612,type,
k1_finseq_2: $i > $i ).
tff(decl_613,type,
k1_finseq_3: ( $i * $i ) > $i ).
tff(decl_614,type,
k2_finseq_3: ( $i * $i ) > $i ).
tff(decl_615,type,
a_3_0_finseq_3: ( $i * $i * $i ) > $i ).
tff(decl_616,type,
k1_realset1: ( $i * $i ) > $i ).
tff(decl_617,type,
v1_realset1: $i > $o ).
tff(decl_618,type,
m4_realset1: ( $i * $i ) > $o ).
tff(decl_619,type,
r1_realset1: ( $i * $i * $i ) > $o ).
tff(decl_620,type,
m1_realset1: ( $i * $i * $i ) > $o ).
tff(decl_621,type,
r2_realset1: ( $i * $i * $i ) > $o ).
tff(decl_622,type,
m2_realset1: ( $i * $i * $i ) > $o ).
tff(decl_623,type,
k3_realset1: ( $i * $i * $i ) > $i ).
tff(decl_624,type,
m3_realset1: ( $i * $i * $i ) > $o ).
tff(decl_625,type,
k4_realset1: ( $i * $i * $i ) > $i ).
tff(decl_626,type,
k2_realset1: ( $i * $i * $i ) > $i ).
tff(decl_627,type,
k5_realset1: ( $i * $i ) > $i ).
tff(decl_628,type,
l1_struct_0: $i > $o ).
tff(decl_629,type,
v1_struct_0: $i > $o ).
tff(decl_630,type,
l2_struct_0: $i > $o ).
tff(decl_631,type,
v2_struct_0: $i > $o ).
tff(decl_632,type,
v3_struct_0: $i > $o ).
tff(decl_633,type,
u1_struct_0: $i > $i ).
tff(decl_634,type,
m1_struct_0: ( $i * $i * $i ) > $o ).
tff(decl_635,type,
g1_struct_0: $i > $i ).
tff(decl_636,type,
u2_struct_0: $i > $i ).
tff(decl_637,type,
g2_struct_0: ( $i * $i ) > $i ).
tff(decl_638,type,
k1_struct_0: ( $i * $i ) > $i ).
tff(decl_639,type,
k2_struct_0: ( $i * $i * $i ) > $i ).
tff(decl_640,type,
l1_lattices: $i > $o ).
tff(decl_641,type,
v1_lattices: $i > $o ).
tff(decl_642,type,
l2_lattices: $i > $o ).
tff(decl_643,type,
v2_lattices: $i > $o ).
tff(decl_644,type,
l3_lattices: $i > $o ).
tff(decl_645,type,
v3_lattices: $i > $o ).
tff(decl_646,type,
g2_lattices: ( $i * $i ) > $i ).
tff(decl_647,type,
g1_lattices: ( $i * $i ) > $i ).
tff(decl_648,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_649,type,
v10_lattices: $i > $o ).
tff(decl_650,type,
v4_lattices: $i > $o ).
tff(decl_651,type,
v5_lattices: $i > $o ).
tff(decl_652,type,
v6_lattices: $i > $o ).
tff(decl_653,type,
v7_lattices: $i > $o ).
tff(decl_654,type,
v8_lattices: $i > $o ).
tff(decl_655,type,
v9_lattices: $i > $o ).
tff(decl_656,type,
v11_lattices: $i > $o ).
tff(decl_657,type,
v12_lattices: $i > $o ).
tff(decl_658,type,
v13_lattices: $i > $o ).
tff(decl_659,type,
v14_lattices: $i > $o ).
tff(decl_660,type,
v15_lattices: $i > $o ).
tff(decl_661,type,
v16_lattices: $i > $o ).
tff(decl_662,type,
v17_lattices: $i > $o ).
tff(decl_663,type,
k1_lattices: ( $i * $i * $i ) > $i ).
tff(decl_664,type,
u2_lattices: $i > $i ).
tff(decl_665,type,
k2_lattices: ( $i * $i * $i ) > $i ).
tff(decl_666,type,
u1_lattices: $i > $i ).
tff(decl_667,type,
r1_lattices: ( $i * $i * $i ) > $o ).
tff(decl_668,type,
k5_lattices: $i > $i ).
tff(decl_669,type,
k6_lattices: $i > $i ).
tff(decl_670,type,
r2_lattices: ( $i * $i * $i ) > $o ).
tff(decl_671,type,
k4_lattices: ( $i * $i * $i ) > $i ).
tff(decl_672,type,
k3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_673,type,
r3_lattices: ( $i * $i * $i ) > $o ).
tff(decl_674,type,
k7_lattices: ( $i * $i ) > $i ).
tff(decl_675,type,
l1_rlvect_1: $i > $o ).
tff(decl_676,type,
v1_rlvect_1: $i > $o ).
tff(decl_677,type,
l2_rlvect_1: $i > $o ).
tff(decl_678,type,
v2_rlvect_1: $i > $o ).
tff(decl_679,type,
g2_rlvect_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_680,type,
v3_rlvect_1: $i > $o ).
tff(decl_681,type,
v4_rlvect_1: $i > $o ).
tff(decl_682,type,
v5_rlvect_1: $i > $o ).
tff(decl_683,type,
v6_rlvect_1: $i > $o ).
tff(decl_684,type,
v7_rlvect_1: $i > $o ).
tff(decl_685,type,
r1_rlvect_1: ( $i * $i ) > $o ).
tff(decl_686,type,
k1_rlvect_1: $i > $i ).
tff(decl_687,type,
k2_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_688,type,
u1_rlvect_1: $i > $i ).
tff(decl_689,type,
k3_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_690,type,
u2_rlvect_1: $i > $i ).
tff(decl_691,type,
k3_real_1: ( $i * $i ) > $i ).
tff(decl_692,type,
k4_real_1: ( $i * $i ) > $i ).
tff(decl_693,type,
k5_rlvect_1: ( $i * $i ) > $i ).
tff(decl_694,type,
k6_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_695,type,
k4_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_696,type,
k5_real_1: ( $i * $i ) > $i ).
tff(decl_697,type,
k9_rlvect_1: ( $i * $i ) > $i ).
tff(decl_698,type,
k7_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_699,type,
k8_rlvect_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_700,type,
v8_rlvect_1: ( $i * $i ) > $o ).
tff(decl_701,type,
g1_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_702,type,
l1_group_1: $i > $o ).
tff(decl_703,type,
v1_group_1: $i > $o ).
tff(decl_704,type,
g1_group_1: ( $i * $i ) > $i ).
tff(decl_705,type,
v3_group_1: $i > $o ).
tff(decl_706,type,
v2_group_1: $i > $o ).
tff(decl_707,type,
v4_group_1: $i > $o ).
tff(decl_708,type,
v7_group_1: $i > $o ).
tff(decl_709,type,
k1_group_1: ( $i * $i * $i ) > $i ).
tff(decl_710,type,
u1_group_1: $i > $i ).
tff(decl_711,type,
k33_binop_2: $i ).
tff(decl_712,type,
k2_group_1: $i > $i ).
tff(decl_713,type,
k3_group_1: ( $i * $i ) > $i ).
tff(decl_714,type,
k4_group_1: $i > $i ).
tff(decl_715,type,
v1_setwiseo: ( $i * $i ) > $o ).
tff(decl_716,type,
r1_finseqop: ( $i * $i * $i ) > $o ).
tff(decl_717,type,
v1_finseqop: ( $i * $i ) > $o ).
tff(decl_718,type,
k6_finseqop: ( $i * $i ) > $i ).
tff(decl_719,type,
k5_group_1: $i > $i ).
tff(decl_720,type,
k6_group_1: ( $i * $i * $i ) > $i ).
tff(decl_721,type,
k1_int_2: $i > $i ).
tff(decl_722,type,
k2_nat_1: ( $i * $i ) > $i ).
tff(decl_723,type,
k7_binop_2: $i > $i ).
tff(decl_724,type,
v5_group_1: ( $i * $i ) > $o ).
tff(decl_725,type,
k7_group_1: ( $i * $i ) > $i ).
tff(decl_726,type,
r1_nat_1: ( $i * $i ) > $o ).
tff(decl_727,type,
k8_group_1: $i > $i ).
tff(decl_728,type,
v6_group_1: $i > $o ).
tff(decl_729,type,
k9_group_1: $i > $i ).
tff(decl_730,type,
k10_group_1: ( $i * $i * $i ) > $i ).
tff(decl_731,type,
k1_vectsp_1: $i ).
tff(decl_732,type,
l1_vectsp_1: $i > $o ).
tff(decl_733,type,
v1_vectsp_1: $i > $o ).
tff(decl_734,type,
l2_vectsp_1: $i > $o ).
tff(decl_735,type,
v2_vectsp_1: $i > $o ).
tff(decl_736,type,
l3_vectsp_1: $i > $o ).
tff(decl_737,type,
v3_vectsp_1: $i > $o ).
tff(decl_738,type,
k3_vectsp_1: $i ).
tff(decl_739,type,
v6_vectsp_1: $i > $o ).
tff(decl_740,type,
v7_vectsp_1: $i > $o ).
tff(decl_741,type,
v8_vectsp_1: $i > $o ).
tff(decl_742,type,
v9_vectsp_1: $i > $o ).
tff(decl_743,type,
v10_vectsp_1: $i > $o ).
tff(decl_744,type,
v4_vectsp_1: $i > $o ).
tff(decl_745,type,
v5_vectsp_1: $i > $o ).
tff(decl_746,type,
l4_vectsp_1: ( $i * $i ) > $o ).
tff(decl_747,type,
v11_vectsp_1: ( $i * $i ) > $o ).
tff(decl_748,type,
g4_vectsp_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_749,type,
v12_vectsp_1: ( $i * $i ) > $o ).
tff(decl_750,type,
v13_vectsp_1: $i > $o ).
tff(decl_751,type,
k2_vectsp_1: $i > $i ).
tff(decl_752,type,
u1_vectsp_1: $i > $i ).
tff(decl_753,type,
k35_binop_2: $i ).
tff(decl_754,type,
g3_vectsp_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_755,type,
k4_vectsp_1: ( $i * $i ) > $i ).
tff(decl_756,type,
k5_vectsp_1: ( $i * $i * $i ) > $i ).
tff(decl_757,type,
k6_vectsp_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_758,type,
u2_vectsp_1: ( $i * $i ) > $i ).
tff(decl_759,type,
k7_vectsp_1: $i > $i ).
tff(decl_760,type,
g1_vectsp_1: ( $i * $i * $i ) > $i ).
tff(decl_761,type,
g2_vectsp_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_762,type,
l1_orders_2: $i > $o ).
tff(decl_763,type,
v1_orders_2: $i > $o ).
tff(decl_764,type,
g1_orders_2: ( $i * $i ) > $i ).
tff(decl_765,type,
v2_orders_2: $i > $o ).
tff(decl_766,type,
v3_orders_2: $i > $o ).
tff(decl_767,type,
v4_orders_2: $i > $o ).
tff(decl_768,type,
u1_orders_2: $i > $i ).
tff(decl_769,type,
k1_pre_topc: $i > $i ).
tff(decl_770,type,
v1_membered: $i > $o ).
tff(decl_771,type,
v2_membered: $i > $o ).
tff(decl_772,type,
v3_membered: $i > $o ).
tff(decl_773,type,
v4_membered: $i > $o ).
tff(decl_774,type,
v5_membered: $i > $o ).
tff(decl_775,type,
v5_orders_2: ( $i * $i ) > $o ).
tff(decl_776,type,
k4_orders_2: ( $i * $i ) > $i ).
tff(decl_777,type,
r1_orders_2: ( $i * $i * $i ) > $o ).
tff(decl_778,type,
r2_orders_2: ( $i * $i * $i ) > $o ).
tff(decl_779,type,
r3_orders_2: ( $i * $i * $i ) > $o ).
tff(decl_780,type,
k1_orders_2: ( $i * $i ) > $i ).
tff(decl_781,type,
k2_pre_topc: $i > $i ).
tff(decl_782,type,
k2_orders_2: ( $i * $i ) > $i ).
tff(decl_783,type,
k3_orders_2: ( $i * $i * $i ) > $i ).
tff(decl_784,type,
m1_orders_2: ( $i * $i * $i ) > $o ).
tff(decl_785,type,
m2_orders_2: ( $i * $i * $i ) > $o ).
tff(decl_786,type,
a_2_0_orders_2: ( $i * $i ) > $i ).
tff(decl_787,type,
a_2_1_orders_2: ( $i * $i ) > $i ).
tff(decl_788,type,
v3_filter_0: $i > $o ).
tff(decl_789,type,
k5_filter_0: ( $i * $i * $i ) > $i ).
tff(decl_790,type,
m1_filter_0: ( $i * $i ) > $o ).
tff(decl_791,type,
k8_filter_0: ( $i * $i ) > $i ).
tff(decl_792,type,
k1_filter_0: $i > $i ).
tff(decl_793,type,
k2_filter_0: ( $i * $i ) > $i ).
tff(decl_794,type,
v1_filter_0: ( $i * $i ) > $o ).
tff(decl_795,type,
k3_filter_0: ( $i * $i ) > $i ).
tff(decl_796,type,
v2_filter_0: ( $i * $i ) > $o ).
tff(decl_797,type,
k4_filter_0: ( $i * $i * $i ) > $i ).
tff(decl_798,type,
k6_filter_0: ( $i * $i * $i ) > $i ).
tff(decl_799,type,
k7_filter_0: ( $i * $i * $i ) > $i ).
tff(decl_800,type,
k9_filter_0: ( $i * $i * $i ) > $i ).
tff(decl_801,type,
k10_filter_0: ( $i * $i ) > $i ).
tff(decl_802,type,
r1_filter_0: ( $i * $i * $i * $i ) > $o ).
tff(decl_803,type,
k11_filter_0: ( $i * $i ) > $i ).
tff(decl_804,type,
k12_filter_0: ( $i * $i ) > $i ).
tff(decl_805,type,
a_2_0_filter_0: ( $i * $i ) > $i ).
tff(decl_806,type,
a_3_0_filter_0: ( $i * $i * $i ) > $i ).
tff(decl_807,type,
a_3_1_filter_0: ( $i * $i * $i ) > $i ).
tff(decl_808,type,
m1_group_2: ( $i * $i ) > $o ).
tff(decl_809,type,
k1_group_2: ( $i * $i ) > $i ).
tff(decl_810,type,
k2_group_2: ( $i * $i * $i ) > $i ).
tff(decl_811,type,
k3_group_2: ( $i * $i * $i ) > $i ).
tff(decl_812,type,
k4_group_2: ( $i * $i * $i ) > $i ).
tff(decl_813,type,
r1_group_2: ( $i * $i * $i ) > $o ).
tff(decl_814,type,
k5_group_2: $i > $i ).
tff(decl_815,type,
k6_group_2: $i > $i ).
tff(decl_816,type,
k7_group_2: ( $i * $i ) > $i ).
tff(decl_817,type,
k8_group_2: ( $i * $i * $i ) > $i ).
tff(decl_818,type,
k9_group_2: ( $i * $i * $i ) > $i ).
tff(decl_819,type,
k10_group_2: ( $i * $i * $i ) > $i ).
tff(decl_820,type,
k11_group_2: ( $i * $i * $i ) > $i ).
tff(decl_821,type,
k12_group_2: ( $i * $i * $i ) > $i ).
tff(decl_822,type,
k13_group_2: ( $i * $i * $i ) > $i ).
tff(decl_823,type,
k14_group_2: ( $i * $i ) > $i ).
tff(decl_824,type,
k15_group_2: ( $i * $i ) > $i ).
tff(decl_825,type,
k16_group_2: ( $i * $i ) > $i ).
tff(decl_826,type,
k17_group_2: ( $i * $i ) > $i ).
tff(decl_827,type,
k18_group_2: ( $i * $i ) > $i ).
tff(decl_828,type,
a_2_0_group_2: ( $i * $i ) > $i ).
tff(decl_829,type,
a_3_0_group_2: ( $i * $i * $i ) > $i ).
tff(decl_830,type,
a_1_0_group_2: $i > $i ).
tff(decl_831,type,
m1_vectsp_4: ( $i * $i * $i ) > $o ).
tff(decl_832,type,
v1_vectsp_4: ( $i * $i * $i ) > $o ).
tff(decl_833,type,
k1_vectsp_4: ( $i * $i ) > $i ).
tff(decl_834,type,
k2_vectsp_4: ( $i * $i ) > $i ).
tff(decl_835,type,
m2_vectsp_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_836,type,
k3_vectsp_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_837,type,
a_4_0_vectsp_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_838,type,
a_4_1_vectsp_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_839,type,
k3_vectsp_5: ( $i * $i ) > $i ).
tff(decl_840,type,
k2_vectsp_5: ( $i * $i * $i * $i ) > $i ).
tff(decl_841,type,
k1_vectsp_5: ( $i * $i * $i * $i ) > $i ).
tff(decl_842,type,
r1_vectsp_5: ( $i * $i * $i * $i ) > $o ).
tff(decl_843,type,
m1_vectsp_5: ( $i * $i * $i * $i ) > $o ).
tff(decl_844,type,
k4_vectsp_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_845,type,
k5_vectsp_5: ( $i * $i ) > $i ).
tff(decl_846,type,
k6_vectsp_5: ( $i * $i ) > $i ).
tff(decl_847,type,
a_4_0_vectsp_5: ( $i * $i * $i * $i ) > $i ).
tff(decl_848,type,
k1_group_3: $i > $i ).
tff(decl_849,type,
v1_group_3: ( $i * $i ) > $o ).
tff(decl_850,type,
k2_group_3: ( $i * $i * $i ) > $i ).
tff(decl_851,type,
k3_group_3: ( $i * $i * $i ) > $i ).
tff(decl_852,type,
k4_group_3: ( $i * $i * $i ) > $i ).
tff(decl_853,type,
k5_group_3: ( $i * $i * $i ) > $i ).
tff(decl_854,type,
k6_group_3: ( $i * $i * $i ) > $i ).
tff(decl_855,type,
r1_group_3: ( $i * $i * $i ) > $o ).
tff(decl_856,type,
r2_group_3: ( $i * $i * $i ) > $o ).
tff(decl_857,type,
k7_group_3: ( $i * $i ) > $i ).
tff(decl_858,type,
r3_group_3: ( $i * $i * $i ) > $o ).
tff(decl_859,type,
r4_group_3: ( $i * $i * $i ) > $o ).
tff(decl_860,type,
k8_group_3: ( $i * $i ) > $i ).
tff(decl_861,type,
r5_group_3: ( $i * $i * $i ) > $o ).
tff(decl_862,type,
r6_group_3: ( $i * $i * $i ) > $o ).
tff(decl_863,type,
k9_group_3: ( $i * $i ) > $i ).
tff(decl_864,type,
k10_group_3: ( $i * $i ) > $i ).
tff(decl_865,type,
k11_group_3: ( $i * $i ) > $i ).
tff(decl_866,type,
a_3_0_group_3: ( $i * $i * $i ) > $i ).
tff(decl_867,type,
a_2_0_group_3: ( $i * $i ) > $i ).
tff(decl_868,type,
a_2_1_group_3: ( $i * $i ) > $i ).
tff(decl_869,type,
a_2_2_group_3: ( $i * $i ) > $i ).
tff(decl_870,type,
a_2_3_group_3: ( $i * $i ) > $i ).
tff(decl_871,type,
k11_group_4: $i > $i ).
tff(decl_872,type,
k2_group_4: $i > $i ).
tff(decl_873,type,
k3_group_4: ( $i * $i ) > $i ).
tff(decl_874,type,
k2_finsop_1: ( $i * $i * $i ) > $i ).
tff(decl_875,type,
k1_finsop_1: ( $i * $i * $i ) > $i ).
tff(decl_876,type,
k1_group_4: ( $i * $i * $i ) > $i ).
tff(decl_877,type,
k4_finseq_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_878,type,
k4_group_4: ( $i * $i * $i ) > $i ).
tff(decl_879,type,
k2_finseq_4: ( $i * $i * $i ) > $i ).
tff(decl_880,type,
k3_finseq_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_881,type,
k5_group_4: ( $i * $i ) > $i ).
tff(decl_882,type,
v1_group_4: ( $i * $i ) > $o ).
tff(decl_883,type,
v2_group_4: ( $i * $i ) > $o ).
tff(decl_884,type,
k6_group_4: $i > $i ).
tff(decl_885,type,
k7_group_4: ( $i * $i * $i ) > $i ).
tff(decl_886,type,
k8_group_4: ( $i * $i * $i ) > $i ).
tff(decl_887,type,
k9_group_4: $i > $i ).
tff(decl_888,type,
k10_group_4: $i > $i ).
tff(decl_889,type,
f1_s2_group_4: $i ).
tff(decl_890,type,
p1_s2_group_4: $i > $o ).
tff(decl_891,type,
a_2_0_group_4: ( $i * $i ) > $i ).
tff(decl_892,type,
a_1_0_group_4: $i > $i ).
tff(decl_893,type,
a_1_1_group_4: $i > $i ).
tff(decl_894,type,
f1_s1_group_4: $i ).
tff(decl_895,type,
p1_s1_group_4: $i > $o ).
tff(decl_896,type,
a_0_0_group_4: $i ).
tff(decl_897,type,
k8_filter_1: ( $i * $i ) > $i ).
tff(decl_898,type,
m1_filter_1: ( $i * $i * $i ) > $o ).
tff(decl_899,type,
m2_filter_1: ( $i * $i * $i ) > $o ).
tff(decl_900,type,
k3_filter_1: ( $i * $i * $i ) > $i ).
tff(decl_901,type,
k4_filter_1: ( $i * $i * $i ) > $i ).
tff(decl_902,type,
k2_filter_1: ( $i * $i * $i ) > $i ).
tff(decl_903,type,
r1_lattice2: ( $i * $i * $i ) > $o ).
tff(decl_904,type,
k5_filter_1: ( $i * $i ) > $i ).
tff(decl_905,type,
k6_filter_1: ( $i * $i * $i ) > $i ).
tff(decl_906,type,
k7_filter_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_907,type,
k9_filter_1: $i > $i ).
tff(decl_908,type,
r1_filter_1: ( $i * $i ) > $o ).
tff(decl_909,type,
r4_wellord1: ( $i * $i ) > $o ).
tff(decl_910,type,
k10_filter_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_911,type,
k1_lattice2: $i > $i ).
tff(decl_912,type,
f1_s1_filter_1: $i ).
tff(decl_913,type,
f2_s1_filter_1: $i ).
tff(decl_914,type,
p1_s1_filter_1: $i > $o ).
tff(decl_915,type,
f1_s2_filter_1: $i ).
tff(decl_916,type,
f2_s2_filter_1: $i ).
tff(decl_917,type,
p1_s2_filter_1: ( $i * $i ) > $o ).
tff(decl_918,type,
f1_s3_filter_1: $i ).
tff(decl_919,type,
f2_s3_filter_1: $i ).
tff(decl_920,type,
p1_s3_filter_1: ( $i * $i * $i ) > $o ).
tff(decl_921,type,
f1_s4_filter_1: $i ).
tff(decl_922,type,
f2_s4_filter_1: $i ).
tff(decl_923,type,
p1_s4_filter_1: $i > $o ).
tff(decl_924,type,
f1_s5_filter_1: $i ).
tff(decl_925,type,
f2_s5_filter_1: $i ).
tff(decl_926,type,
p1_s5_filter_1: ( $i * $i ) > $o ).
tff(decl_927,type,
f1_s6_filter_1: $i ).
tff(decl_928,type,
f2_s6_filter_1: $i ).
tff(decl_929,type,
p1_s6_filter_1: ( $i * $i * $i ) > $o ).
tff(decl_930,type,
k1_filter_1: ( $i * $i * $i ) > $i ).
tff(decl_931,type,
a_1_0_filter_1: $i > $i ).
tff(decl_932,type,
v3_realset2: $i > $o ).
tff(decl_933,type,
k4_group_6: ( $i * $i ) > $i ).
tff(decl_934,type,
k6_group_6: ( $i * $i ) > $i ).
tff(decl_935,type,
v1_group_6: ( $i * $i * $i ) > $o ).
tff(decl_936,type,
k12_group_6: ( $i * $i * $i ) > $i ).
tff(decl_937,type,
m1_group_6: ( $i * $i * $i ) > $o ).
tff(decl_938,type,
k9_group_5: $i > $i ).
tff(decl_939,type,
k2_group_5: ( $i * $i * $i ) > $i ).
tff(decl_940,type,
k1_group_6: ( $i * $i * $i ) > $i ).
tff(decl_941,type,
k5_group_6: ( $i * $i ) > $i ).
tff(decl_942,type,
k7_group_6: ( $i * $i * $i ) > $i ).
tff(decl_943,type,
k3_group_5: ( $i * $i * $i * $i ) > $i ).
tff(decl_944,type,
k10_group_6: ( $i * $i ) > $i ).
tff(decl_945,type,
k8_group_6: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_946,type,
k11_group_6: ( $i * $i ) > $i ).
tff(decl_947,type,
k13_group_6: ( $i * $i * $i ) > $i ).
tff(decl_948,type,
k9_group_6: ( $i * $i * $i ) > $i ).
tff(decl_949,type,
v2_group_6: ( $i * $i * $i ) > $o ).
tff(decl_950,type,
v3_group_6: ( $i * $i * $i ) > $o ).
tff(decl_951,type,
v4_group_6: ( $i * $i * $i ) > $o ).
tff(decl_952,type,
r1_group_6: ( $i * $i ) > $o ).
tff(decl_953,type,
r2_group_6: ( $i * $i ) > $o ).
tff(decl_954,type,
k2_group_6: ( $i * $i * $i ) > $i ).
tff(decl_955,type,
k3_group_6: ( $i * $i * $i ) > $i ).
tff(decl_956,type,
a_1_0_group_6: $i > $i ).
tff(decl_957,type,
a_3_0_group_6: ( $i * $i * $i ) > $i ).
tff(decl_958,type,
k1_lattice3: $i > $i ).
tff(decl_959,type,
k3_lattice3: $i > $i ).
tff(decl_960,type,
k7_lattice3: $i > $i ).
tff(decl_961,type,
v1_lattice3: $i > $o ).
tff(decl_962,type,
v2_lattice3: $i > $o ).
tff(decl_963,type,
v3_lattice3: $i > $o ).
tff(decl_964,type,
v4_lattice3: $i > $o ).
tff(decl_965,type,
v5_lattice3: $i > $o ).
tff(decl_966,type,
v6_lattice3: $i > $o ).
tff(decl_967,type,
k14_lattice3: $i > $i ).
tff(decl_968,type,
k2_lattice3: $i > $i ).
tff(decl_969,type,
k4_lattice3: ( $i * $i ) > $i ).
tff(decl_970,type,
k5_lattice3: ( $i * $i ) > $i ).
tff(decl_971,type,
k8_lattice3: ( $i * $i ) > $i ).
tff(decl_972,type,
k9_lattice3: ( $i * $i ) > $i ).
tff(decl_973,type,
r1_lattice3: ( $i * $i * $i ) > $o ).
tff(decl_974,type,
r2_lattice3: ( $i * $i * $i ) > $o ).
tff(decl_975,type,
k10_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_976,type,
k11_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_977,type,
k12_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_978,type,
k13_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_979,type,
k6_lattice3: ( $i * $i ) > $i ).
tff(decl_980,type,
r3_lattice3: ( $i * $i * $i ) > $o ).
tff(decl_981,type,
r4_lattice3: ( $i * $i * $i ) > $o ).
tff(decl_982,type,
k15_lattice3: ( $i * $i ) > $i ).
tff(decl_983,type,
k16_lattice3: ( $i * $i ) > $i ).
tff(decl_984,type,
a_3_0_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_985,type,
a_3_1_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_986,type,
a_2_0_lattice3: ( $i * $i ) > $i ).
tff(decl_987,type,
a_2_1_lattice3: ( $i * $i ) > $i ).
tff(decl_988,type,
a_3_2_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_989,type,
a_3_3_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_990,type,
a_3_4_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_991,type,
a_3_5_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_992,type,
a_2_2_lattice3: ( $i * $i ) > $i ).
tff(decl_993,type,
a_2_3_lattice3: ( $i * $i ) > $i ).
tff(decl_994,type,
a_2_4_lattice3: ( $i * $i ) > $i ).
tff(decl_995,type,
a_2_5_lattice3: ( $i * $i ) > $i ).
tff(decl_996,type,
a_2_6_lattice3: ( $i * $i ) > $i ).
tff(decl_997,type,
a_2_7_lattice3: ( $i * $i ) > $i ).
tff(decl_998,type,
a_3_6_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_999,type,
a_3_7_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_1000,type,
a_3_8_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_1001,type,
a_3_9_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_1002,type,
a_3_10_lattice3: ( $i * $i * $i ) > $i ).
tff(decl_1003,type,
f2_s1_lattice3: $i ).
tff(decl_1004,type,
p1_s1_lattice3: $i > $o ).
tff(decl_1005,type,
a_0_0_lattice3: $i ).
tff(decl_1006,type,
f1_s1_lattice3: $i ).
tff(decl_1007,type,
f2_s2_lattice3: $i ).
tff(decl_1008,type,
f4_s2_lattice3: $i ).
tff(decl_1009,type,
a_0_1_lattice3: $i ).
tff(decl_1010,type,
a_0_2_lattice3: $i ).
tff(decl_1011,type,
f1_s2_lattice3: $i ).
tff(decl_1012,type,
f3_s2_lattice3: $i > $i ).
tff(decl_1013,type,
p1_s2_lattice3: $i > $o ).
tff(decl_1014,type,
m2_lattice4: ( $i * $i ) > $o ).
tff(decl_1015,type,
k4_lattice4: ( $i * $i ) > $i ).
tff(decl_1016,type,
m1_lattice4: ( $i * $i * $i ) > $o ).
tff(decl_1017,type,
v1_lattice4: ( $i * $i * $i ) > $o ).
tff(decl_1018,type,
v2_lattice4: ( $i * $i * $i ) > $o ).
tff(decl_1019,type,
v3_lattice4: ( $i * $i * $i ) > $o ).
tff(decl_1020,type,
r1_lattice4: ( $i * $i * $i ) > $o ).
tff(decl_1021,type,
r2_lattice4: ( $i * $i * $i ) > $o ).
tff(decl_1022,type,
r3_lattice4: ( $i * $i * $i ) > $o ).
tff(decl_1023,type,
r4_lattice4: ( $i * $i * $i ) > $o ).
tff(decl_1024,type,
k1_lattice4: ( $i * $i ) > $i ).
tff(decl_1025,type,
k7_grcat_1: $i > $i ).
tff(decl_1026,type,
k2_lattice2: ( $i * $i * $i * $i ) > $i ).
tff(decl_1027,type,
k2_lattice4: ( $i * $i ) > $i ).
tff(decl_1028,type,
k3_lattice2: ( $i * $i * $i * $i ) > $i ).
tff(decl_1029,type,
k7_setwiseo: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1030,type,
k2_setwiseo: ( $i * $i ) > $i ).
tff(decl_1031,type,
k5_setwiseo: ( $i * $i * $i ) > $i ).
tff(decl_1032,type,
k1_setwiseo: $i > $i ).
tff(decl_1033,type,
k8_setwiseo: ( $i * $i * $i * $i ) > $i ).
tff(decl_1034,type,
k7_funcop_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1035,type,
m3_lattice4: ( $i * $i ) > $o ).
tff(decl_1036,type,
k3_lattice4: ( $i * $i ) > $i ).
tff(decl_1037,type,
k5_lattice4: $i > $i ).
tff(decl_1038,type,
a_2_0_lattice4: ( $i * $i ) > $i ).
tff(decl_1039,type,
a_2_1_lattice4: ( $i * $i ) > $i ).
tff(decl_1040,type,
m1_vectsp_8: ( $i * $i * $i ) > $o ).
tff(decl_1041,type,
k1_vectsp_8: ( $i * $i ) > $i ).
tff(decl_1042,type,
k2_vectsp_8: ( $i * $i ) > $i ).
tff(decl_1043,type,
m2_vectsp_8: ( $i * $i * $i * $i ) > $o ).
tff(decl_1044,type,
k3_vectsp_8: ( $i * $i * $i ) > $i ).
tff(decl_1045,type,
k4_vectsp_8: ( $i * $i ) > $i ).
tff(decl_1046,type,
k5_vectsp_8: ( $i * $i * $i ) > $i ).
tff(decl_1047,type,
k1_vectsp_7: ( $i * $i * $i ) > $i ).
tff(decl_1048,type,
k6_vectsp_8: ( $i * $i * $i * $i ) > $i ).
tff(decl_1049,type,
m3_vectsp_8: ( $i * $i * $i ) > $o ).
tff(decl_1050,type,
m4_vectsp_8: ( $i * $i * $i ) > $o ).
tff(decl_1051,type,
v1_mod_2: ( $i * $i * $i * $i ) > $o ).
tff(decl_1052,type,
k1_latsubgr: $i > $i ).
tff(decl_1053,type,
k2_latsubgr: ( $i * $i ) > $i ).
tff(decl_1054,type,
k3_latsubgr: ( $i * $i * $i ) > $i ).
tff(decl_1055,type,
epred1_1: $i > $o ).
tff(decl_1056,type,
esk1_0: $i ).
tff(decl_1057,type,
esk2_0: $i ).
tff(decl_1058,type,
esk3_0: $i ).
tff(decl_1059,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_1060,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_1061,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_1062,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_1063,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_1064,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_1065,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_1066,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_1067,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_1068,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1069,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1070,type,
esk15_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1071,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_1072,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_1073,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_1074,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_1075,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_1076,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_1077,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_1078,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_1079,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_1080,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_1081,type,
esk26_1: $i > $i ).
tff(decl_1082,type,
esk27_1: $i > $i ).
tff(decl_1083,type,
esk28_0: $i ).
tff(decl_1084,type,
esk29_0: $i ).
tff(decl_1085,type,
esk30_0: $i ).
tff(decl_1086,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_1087,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_1088,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_1089,type,
esk34_1: $i > $i ).
tff(decl_1090,type,
esk35_1: $i > $i ).
tff(decl_1091,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_1092,type,
esk37_0: $i ).
tff(decl_1093,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_1094,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_1095,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_1096,type,
esk41_2: ( $i * $i ) > $i ).
tff(decl_1097,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_1098,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_1099,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_1100,type,
esk45_1: $i > $i ).
tff(decl_1101,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_1102,type,
esk47_1: $i > $i ).
tff(decl_1103,type,
esk48_1: $i > $i ).
tff(decl_1104,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_1105,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_1106,type,
esk51_3: ( $i * $i * $i ) > $i ).
tff(decl_1107,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_1108,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_1109,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_1110,type,
esk55_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1111,type,
esk56_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1112,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_1113,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_1114,type,
esk59_1: $i > $i ).
tff(decl_1115,type,
esk60_1: $i > $i ).
tff(decl_1116,type,
esk61_1: $i > $i ).
tff(decl_1117,type,
esk62_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1118,type,
esk63_1: $i > $i ).
tff(decl_1119,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_1120,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_1121,type,
esk66_1: $i > $i ).
tff(decl_1122,type,
esk67_1: $i > $i ).
tff(decl_1123,type,
esk68_1: $i > $i ).
tff(decl_1124,type,
esk69_1: $i > $i ).
tff(decl_1125,type,
esk70_1: $i > $i ).
tff(decl_1126,type,
esk71_1: $i > $i ).
tff(decl_1127,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_1128,type,
esk73_1: $i > $i ).
tff(decl_1129,type,
esk74_1: $i > $i ).
tff(decl_1130,type,
esk75_1: $i > $i ).
tff(decl_1131,type,
esk76_1: $i > $i ).
tff(decl_1132,type,
esk77_1: $i > $i ).
tff(decl_1133,type,
esk78_3: ( $i * $i * $i ) > $i ).
tff(decl_1134,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_1135,type,
esk80_1: $i > $i ).
tff(decl_1136,type,
esk81_1: $i > $i ).
tff(decl_1137,type,
esk82_2: ( $i * $i ) > $i ).
tff(decl_1138,type,
esk83_1: $i > $i ).
tff(decl_1139,type,
esk84_1: $i > $i ).
tff(decl_1140,type,
esk85_2: ( $i * $i ) > $i ).
tff(decl_1141,type,
esk86_1: $i > $i ).
tff(decl_1142,type,
esk87_0: $i ).
tff(decl_1143,type,
esk88_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1144,type,
esk89_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1145,type,
esk90_3: ( $i * $i * $i ) > $i ).
tff(decl_1146,type,
esk91_3: ( $i * $i * $i ) > $i ).
tff(decl_1147,type,
esk92_3: ( $i * $i * $i ) > $i ).
tff(decl_1148,type,
esk93_3: ( $i * $i * $i ) > $i ).
tff(decl_1149,type,
esk94_3: ( $i * $i * $i ) > $i ).
tff(decl_1150,type,
esk95_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1151,type,
esk96_2: ( $i * $i ) > $i ).
tff(decl_1152,type,
esk97_2: ( $i * $i ) > $i ).
tff(decl_1153,type,
esk98_2: ( $i * $i ) > $i ).
tff(decl_1154,type,
esk99_3: ( $i * $i * $i ) > $i ).
tff(decl_1155,type,
esk100_3: ( $i * $i * $i ) > $i ).
tff(decl_1156,type,
esk101_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1157,type,
esk102_3: ( $i * $i * $i ) > $i ).
tff(decl_1158,type,
esk103_3: ( $i * $i * $i ) > $i ).
tff(decl_1159,type,
esk104_3: ( $i * $i * $i ) > $i ).
tff(decl_1160,type,
esk105_3: ( $i * $i * $i ) > $i ).
tff(decl_1161,type,
esk106_2: ( $i * $i ) > $i ).
tff(decl_1162,type,
esk107_0: $i ).
tff(decl_1163,type,
esk108_0: $i ).
tff(decl_1164,type,
esk109_0: $i ).
tff(decl_1165,type,
esk110_0: $i ).
tff(decl_1166,type,
esk111_0: $i ).
tff(decl_1167,type,
esk112_3: ( $i * $i * $i ) > $i ).
tff(decl_1168,type,
esk113_3: ( $i * $i * $i ) > $i ).
tff(decl_1169,type,
esk114_2: ( $i * $i ) > $i ).
tff(decl_1170,type,
esk115_2: ( $i * $i ) > $i ).
tff(decl_1171,type,
esk116_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1172,type,
esk117_3: ( $i * $i * $i ) > $i ).
tff(decl_1173,type,
esk118_2: ( $i * $i ) > $i ).
tff(decl_1174,type,
esk119_3: ( $i * $i * $i ) > $i ).
tff(decl_1175,type,
esk120_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1176,type,
esk121_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1177,type,
esk122_0: $i ).
tff(decl_1178,type,
esk123_1: $i > $i ).
tff(decl_1179,type,
esk124_1: $i > $i ).
tff(decl_1180,type,
esk125_2: ( $i * $i ) > $i ).
tff(decl_1181,type,
esk126_0: $i ).
tff(decl_1182,type,
esk127_0: $i ).
tff(decl_1183,type,
esk128_0: $i ).
tff(decl_1184,type,
esk129_0: $i ).
tff(decl_1185,type,
esk130_1: $i > $i ).
tff(decl_1186,type,
esk131_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1187,type,
esk132_3: ( $i * $i * $i ) > $i ).
tff(decl_1188,type,
esk133_3: ( $i * $i * $i ) > $i ).
tff(decl_1189,type,
esk134_2: ( $i * $i ) > $i ).
tff(decl_1190,type,
esk135_2: ( $i * $i ) > $i ).
tff(decl_1191,type,
esk136_0: $i ).
tff(decl_1192,type,
esk137_1: $i > $i ).
tff(decl_1193,type,
esk138_2: ( $i * $i ) > $i ).
tff(decl_1194,type,
esk139_1: $i > $i ).
tff(decl_1195,type,
esk140_1: $i > $i ).
tff(decl_1196,type,
esk141_2: ( $i * $i ) > $i ).
tff(decl_1197,type,
esk142_1: $i > $i ).
tff(decl_1198,type,
esk143_1: $i > $i ).
tff(decl_1199,type,
esk144_1: $i > $i ).
tff(decl_1200,type,
esk145_1: $i > $i ).
tff(decl_1201,type,
esk146_1: $i > $i ).
tff(decl_1202,type,
esk147_3: ( $i * $i * $i ) > $i ).
tff(decl_1203,type,
esk148_1: $i > $i ).
tff(decl_1204,type,
esk149_1: $i > $i ).
tff(decl_1205,type,
esk150_1: $i > $i ).
tff(decl_1206,type,
esk151_0: $i ).
tff(decl_1207,type,
esk152_0: $i ).
tff(decl_1208,type,
esk153_2: ( $i * $i ) > $i ).
tff(decl_1209,type,
esk154_2: ( $i * $i ) > $i ).
tff(decl_1210,type,
esk155_2: ( $i * $i ) > $i ).
tff(decl_1211,type,
esk156_2: ( $i * $i ) > $i ).
tff(decl_1212,type,
esk157_2: ( $i * $i ) > $i ).
tff(decl_1213,type,
esk158_1: $i > $i ).
tff(decl_1214,type,
esk159_1: $i > $i ).
tff(decl_1215,type,
esk160_1: $i > $i ).
tff(decl_1216,type,
esk161_1: $i > $i ).
tff(decl_1217,type,
esk162_1: $i > $i ).
tff(decl_1218,type,
esk163_1: $i > $i ).
tff(decl_1219,type,
esk164_1: $i > $i ).
tff(decl_1220,type,
esk165_2: ( $i * $i ) > $i ).
tff(decl_1221,type,
esk166_1: $i > $i ).
tff(decl_1222,type,
esk167_1: $i > $i ).
tff(decl_1223,type,
esk168_1: $i > $i ).
tff(decl_1224,type,
esk169_1: $i > $i ).
tff(decl_1225,type,
esk170_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1226,type,
esk171_3: ( $i * $i * $i ) > $i ).
tff(decl_1227,type,
esk172_0: $i ).
tff(decl_1228,type,
esk173_1: $i > $i ).
tff(decl_1229,type,
esk174_1: $i > $i ).
tff(decl_1230,type,
esk175_1: $i > $i ).
tff(decl_1231,type,
esk176_1: $i > $i ).
tff(decl_1232,type,
esk177_0: $i ).
tff(decl_1233,type,
esk178_3: ( $i * $i * $i ) > $i ).
tff(decl_1234,type,
esk179_3: ( $i * $i * $i ) > $i ).
tff(decl_1235,type,
esk180_2: ( $i * $i ) > $i ).
tff(decl_1236,type,
esk181_2: ( $i * $i ) > $i ).
tff(decl_1237,type,
esk182_1: $i > $i ).
tff(decl_1238,type,
esk183_1: $i > $i ).
tff(decl_1239,type,
esk184_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1240,type,
esk185_1: $i > $i ).
tff(decl_1241,type,
esk186_1: $i > $i ).
tff(decl_1242,type,
esk187_1: $i > $i ).
tff(decl_1243,type,
esk188_4: ( $i * $i * $i * $i ) > $i ).
fof(dt_m1_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',dt_m1_group_2) ).
fof(t22_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_latsubgr) ).
fof(d3_group_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> ( v3_group_1(X1)
<=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k1_group_1(X1,X3,X2) = X3
& k1_group_1(X1,X2,X3) = X3
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& k1_group_1(X1,X3,X4) = X2
& k1_group_1(X1,X4,X3) = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',d3_group_1) ).
fof(d1_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(dt_k1_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',d2_subset_1) ).
fof(d9_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> k7_group_2(X1,X2) = u1_struct_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',d9_group_2) ).
fof(t87_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> k7_group_2(X1,X2) != k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',t87_group_2) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t1_subset) ).
fof(cc1_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> v4_group_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',cc1_group_2) ).
fof(d5_xboole_0,axiom,
! [X1] :
( v1_xboole_0(X1)
<=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',d5_xboole_0) ).
fof(t57_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X3))
=> ( X4 = X2
=> k3_group_1(X3,X4) = k3_group_1(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',t57_group_2) ).
fof(t51_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',t51_group_2) ).
fof(dt_k3_group_1,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',dt_k3_group_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
fof(c_0_15,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_group_2]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t22_latsubgr])]) ).
fof(c_0_17,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> ( v3_group_1(X1)
<=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k1_group_1(X1,X3,X2) = X3
& k1_group_1(X1,X2,X3) = X3
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& k1_group_1(X1,X3,X4) = X2
& k1_group_1(X1,X4,X3) = X2 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d3_group_1]) ).
fof(c_0_18,plain,
! [X244,X245] :
( ( ~ v3_struct_0(X245)
| ~ m1_group_2(X245,X244)
| v3_struct_0(X244)
| ~ v3_group_1(X244)
| ~ l1_group_1(X244) )
& ( v3_group_1(X245)
| ~ m1_group_2(X245,X244)
| v3_struct_0(X244)
| ~ v3_group_1(X244)
| ~ l1_group_1(X244) )
& ( l1_group_1(X245)
| ~ m1_group_2(X245,X244)
| v3_struct_0(X244)
| ~ v3_group_1(X244)
| ~ l1_group_1(X244) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_19,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& v1_group_1(esk2_0)
& m1_group_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0))
& ~ r2_hidden(k3_group_1(esk1_0,esk3_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_20,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_latsubgr]) ).
fof(c_0_21,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_latsubgr]) ).
fof(c_0_22,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
fof(c_0_23,plain,
! [X652,X654,X656,X658] :
( ( m1_subset_1(esk63_1(X652),u1_struct_0(X652))
| ~ v3_group_1(X652)
| v3_struct_0(X652)
| ~ l1_group_1(X652) )
& ( k1_group_1(X652,X654,esk63_1(X652)) = X654
| ~ m1_subset_1(X654,u1_struct_0(X652))
| ~ v3_group_1(X652)
| v3_struct_0(X652)
| ~ l1_group_1(X652) )
& ( k1_group_1(X652,esk63_1(X652),X654) = X654
| ~ m1_subset_1(X654,u1_struct_0(X652))
| ~ v3_group_1(X652)
| v3_struct_0(X652)
| ~ l1_group_1(X652) )
& ( m1_subset_1(esk64_2(X652,X654),u1_struct_0(X652))
| ~ m1_subset_1(X654,u1_struct_0(X652))
| ~ v3_group_1(X652)
| v3_struct_0(X652)
| ~ l1_group_1(X652) )
& ( k1_group_1(X652,X654,esk64_2(X652,X654)) = esk63_1(X652)
| ~ m1_subset_1(X654,u1_struct_0(X652))
| ~ v3_group_1(X652)
| v3_struct_0(X652)
| ~ l1_group_1(X652) )
& ( k1_group_1(X652,esk64_2(X652,X654),X654) = esk63_1(X652)
| ~ m1_subset_1(X654,u1_struct_0(X652))
| ~ v3_group_1(X652)
| v3_struct_0(X652)
| ~ l1_group_1(X652) )
& ( m1_subset_1(esk65_2(X652,X656),u1_struct_0(X652))
| ~ m1_subset_1(X656,u1_struct_0(X652))
| v3_group_1(X652)
| v3_struct_0(X652)
| ~ l1_group_1(X652) )
& ( k1_group_1(X652,esk65_2(X652,X656),X656) != esk65_2(X652,X656)
| k1_group_1(X652,X656,esk65_2(X652,X656)) != esk65_2(X652,X656)
| ~ m1_subset_1(X658,u1_struct_0(X652))
| k1_group_1(X652,esk65_2(X652,X656),X658) != X656
| k1_group_1(X652,X658,esk65_2(X652,X656)) != X656
| ~ m1_subset_1(X656,u1_struct_0(X652))
| v3_group_1(X652)
| v3_struct_0(X652)
| ~ l1_group_1(X652) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])]) ).
cnf(c_0_24,plain,
( v3_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,plain,
( v3_struct_0(X2)
| ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_31,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> k7_group_2(X1,X2) = u1_struct_0(X2) ) ),
inference(fof_simplification,[status(thm)],[d9_group_2]) ).
fof(c_0_32,plain,
! [X128,X129,X130] :
( ( X129 != k1_latsubgr(X128)
| ~ v1_group_1(X130)
| ~ m1_group_2(X130,X128)
| k1_funct_1(X129,X130) = u1_struct_0(X130)
| ~ v1_funct_1(X129)
| ~ v1_funct_2(X129,k1_group_3(X128),k1_zfmisc_1(u1_struct_0(X128)))
| ~ m2_relset_1(X129,k1_group_3(X128),k1_zfmisc_1(u1_struct_0(X128)))
| v3_struct_0(X128)
| ~ v3_group_1(X128)
| ~ v4_group_1(X128)
| ~ l1_group_1(X128) )
& ( v1_group_1(esk18_2(X128,X129))
| X129 = k1_latsubgr(X128)
| ~ v1_funct_1(X129)
| ~ v1_funct_2(X129,k1_group_3(X128),k1_zfmisc_1(u1_struct_0(X128)))
| ~ m2_relset_1(X129,k1_group_3(X128),k1_zfmisc_1(u1_struct_0(X128)))
| v3_struct_0(X128)
| ~ v3_group_1(X128)
| ~ v4_group_1(X128)
| ~ l1_group_1(X128) )
& ( m1_group_2(esk18_2(X128,X129),X128)
| X129 = k1_latsubgr(X128)
| ~ v1_funct_1(X129)
| ~ v1_funct_2(X129,k1_group_3(X128),k1_zfmisc_1(u1_struct_0(X128)))
| ~ m2_relset_1(X129,k1_group_3(X128),k1_zfmisc_1(u1_struct_0(X128)))
| v3_struct_0(X128)
| ~ v3_group_1(X128)
| ~ v4_group_1(X128)
| ~ l1_group_1(X128) )
& ( k1_funct_1(X129,esk18_2(X128,X129)) != u1_struct_0(esk18_2(X128,X129))
| X129 = k1_latsubgr(X128)
| ~ v1_funct_1(X129)
| ~ v1_funct_2(X129,k1_group_3(X128),k1_zfmisc_1(u1_struct_0(X128)))
| ~ m2_relset_1(X129,k1_group_3(X128),k1_zfmisc_1(u1_struct_0(X128)))
| v3_struct_0(X128)
| ~ v3_group_1(X128)
| ~ v4_group_1(X128)
| ~ l1_group_1(X128) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])]) ).
fof(c_0_33,plain,
! [X127] :
( ( v1_funct_1(k1_latsubgr(X127))
| v3_struct_0(X127)
| ~ v3_group_1(X127)
| ~ v4_group_1(X127)
| ~ l1_group_1(X127) )
& ( v1_funct_2(k1_latsubgr(X127),k1_group_3(X127),k1_zfmisc_1(u1_struct_0(X127)))
| v3_struct_0(X127)
| ~ v3_group_1(X127)
| ~ v4_group_1(X127)
| ~ l1_group_1(X127) )
& ( m2_relset_1(k1_latsubgr(X127),k1_group_3(X127),k1_zfmisc_1(u1_struct_0(X127)))
| v3_struct_0(X127)
| ~ v3_group_1(X127)
| ~ v4_group_1(X127)
| ~ l1_group_1(X127) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_34,plain,
! [X1016,X1017] :
( ( ~ m1_subset_1(X1017,X1016)
| r2_hidden(X1017,X1016)
| v1_xboole_0(X1016) )
& ( ~ r2_hidden(X1017,X1016)
| m1_subset_1(X1017,X1016)
| v1_xboole_0(X1016) )
& ( ~ m1_subset_1(X1017,X1016)
| v1_xboole_0(X1017)
| ~ v1_xboole_0(X1016) )
& ( ~ v1_xboole_0(X1017)
| m1_subset_1(X1017,X1016)
| ~ v1_xboole_0(X1016) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
cnf(c_0_35,plain,
( m1_subset_1(esk63_1(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36,negated_conjecture,
v3_group_1(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_37,negated_conjecture,
l1_group_1(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_38,negated_conjecture,
~ v3_struct_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_30,c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
fof(c_0_39,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> k7_group_2(X1,X2) != k1_xboole_0 ) ),
inference(fof_simplification,[status(thm)],[t87_group_2]) ).
fof(c_0_40,plain,
! [X865,X866] :
( v3_struct_0(X865)
| ~ v3_group_1(X865)
| ~ v4_group_1(X865)
| ~ l1_group_1(X865)
| ~ m1_group_2(X866,X865)
| k7_group_2(X865,X866) = u1_struct_0(X866) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_41,plain,
! [X26,X27] :
( ~ r2_hidden(X26,X27)
| m1_subset_1(X26,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_42,plain,
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| v3_struct_0(X2)
| X1 != k1_latsubgr(X2)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_relset_1(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
( v1_funct_1(k1_latsubgr(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,plain,
( m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,plain,
( v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_46,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> v4_group_1(X2) ) ),
inference(fof_simplification,[status(thm)],[cc1_group_2]) ).
fof(c_0_47,plain,
! [X482] :
( ( ~ v1_xboole_0(X482)
| X482 = k1_xboole_0 )
& ( X482 != k1_xboole_0
| v1_xboole_0(X482) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_xboole_0])]) ).
cnf(c_0_48,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_49,negated_conjecture,
m1_subset_1(esk63_1(esk2_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]),c_0_38]) ).
fof(c_0_50,plain,
! [X867,X868] :
( v3_struct_0(X867)
| ~ v3_group_1(X867)
| ~ v4_group_1(X867)
| ~ l1_group_1(X867)
| ~ m1_group_2(X868,X867)
| k7_group_2(X867,X868) != k1_xboole_0 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
cnf(c_0_51,plain,
( v3_struct_0(X1)
| k7_group_2(X1,X2) = u1_struct_0(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_52,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_53,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_group_2(X3,X1)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X3))
=> ( X4 = X2
=> k3_group_1(X3,X4) = k3_group_1(X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t57_group_2]) ).
fof(c_0_54,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t51_group_2]) ).
fof(c_0_55,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k3_group_1]) ).
cnf(c_0_56,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_57,negated_conjecture,
r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_58,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_42]),c_0_43]),c_0_44]),c_0_45]) ).
cnf(c_0_59,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_60,plain,
! [X232,X233] :
( v3_struct_0(X232)
| ~ v3_group_1(X232)
| ~ v4_group_1(X232)
| ~ l1_group_1(X232)
| ~ m1_group_2(X233,X232)
| v4_group_1(X233) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
cnf(c_0_61,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_62,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| r2_hidden(esk63_1(esk2_0),u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_63,plain,
( v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| k7_group_2(X1,X2) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_64,negated_conjecture,
k7_group_2(esk1_0,esk2_0) = u1_struct_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_25]),c_0_52]),c_0_26]),c_0_27])]),c_0_28]) ).
fof(c_0_65,plain,
! [X193,X194,X195,X196] :
( v3_struct_0(X193)
| ~ v3_group_1(X193)
| ~ v4_group_1(X193)
| ~ l1_group_1(X193)
| ~ m1_subset_1(X194,u1_struct_0(X193))
| ~ m1_group_2(X195,X193)
| ~ m1_subset_1(X196,u1_struct_0(X195))
| X196 != X194
| k3_group_1(X195,X196) = k3_group_1(X193,X194) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
fof(c_0_66,plain,
! [X234,X235,X236] :
( v3_struct_0(X234)
| ~ v3_group_1(X234)
| ~ l1_group_1(X234)
| ~ m1_group_2(X235,X234)
| ~ m1_subset_1(X236,u1_struct_0(X235))
| m1_subset_1(X236,u1_struct_0(X234)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])]) ).
fof(c_0_67,plain,
! [X186,X187] :
( v3_struct_0(X186)
| ~ v3_group_1(X186)
| ~ v4_group_1(X186)
| ~ l1_group_1(X186)
| ~ m1_subset_1(X187,u1_struct_0(X186))
| m1_subset_1(k3_group_1(X186,X187),u1_struct_0(X186)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])]) ).
cnf(c_0_68,negated_conjecture,
m1_subset_1(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_69,negated_conjecture,
k1_funct_1(k1_latsubgr(esk1_0),esk2_0) = u1_struct_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_25]),c_0_52]),c_0_26]),c_0_59]),c_0_27])]),c_0_28]) ).
cnf(c_0_70,plain,
( v3_struct_0(X1)
| v4_group_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_71,plain,
! [X1012,X1013] :
( ~ r2_hidden(X1012,X1013)
| ~ v1_xboole_0(X1013) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(c_0_72,negated_conjecture,
( u1_struct_0(esk2_0) = k1_xboole_0
| r2_hidden(esk63_1(esk2_0),u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_73,negated_conjecture,
u1_struct_0(esk2_0) != k1_xboole_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_25]),c_0_52]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_74,plain,
( v3_struct_0(X1)
| k3_group_1(X3,X4) = k3_group_1(X1,X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| X4 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_75,plain,
( v3_struct_0(X1)
| m1_subset_1(X3,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_77,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,negated_conjecture,
v4_group_1(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_25]),c_0_52]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_79,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_80,negated_conjecture,
r2_hidden(esk63_1(esk2_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_81,plain,
( k3_group_1(X1,X2) = k3_group_1(X3,X2)
| v3_struct_0(X1)
| ~ m1_group_2(X3,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_74]),c_0_75]) ).
cnf(c_0_82,negated_conjecture,
m1_subset_1(k3_group_1(esk2_0,esk3_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_83,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_84,negated_conjecture,
( k3_group_1(esk2_0,X1) = k3_group_1(esk1_0,X1)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_25]),c_0_52]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_85,negated_conjecture,
~ r2_hidden(k3_group_1(esk1_0,esk3_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_86,negated_conjecture,
r2_hidden(k3_group_1(esk2_0,esk3_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_82]),c_0_83]) ).
cnf(c_0_87,negated_conjecture,
k3_group_1(esk2_0,esk3_0) = k3_group_1(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_84,c_0_77]) ).
cnf(c_0_88,negated_conjecture,
~ r2_hidden(k3_group_1(esk1_0,esk3_0),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_85,c_0_69]) ).
cnf(c_0_89,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87]),c_0_88]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP644+2 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 00:27:10 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof: theBenchmark
% 2.46/2.50 % Version : CSE_E---1.5
% 2.46/2.50 % Problem : theBenchmark.p
% 2.46/2.50 % Proof found
% 2.46/2.50 % SZS status Theorem for theBenchmark.p
% 2.46/2.50 % SZS output start Proof
% See solution above
% 2.53/2.53 % Total time : 1.780000 s
% 2.53/2.53 % SZS output end Proof
% 2.53/2.53 % Total time : 1.946000 s
%------------------------------------------------------------------------------