TSTP Solution File: SEU427+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU427+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 : n027.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 16:26:24 EDT 2023
% Result : Theorem 80.61s 80.65s
% Output : CNFRefutation 80.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1181
% Syntax : Number of formulae : 1255 ( 47 unt;1158 typ; 0 def)
% Number of atoms : 237 ( 76 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 213 ( 73 ~; 69 |; 47 &)
% ( 6 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2047 ( 958 >;1089 *; 0 +; 0 <<)
% Number of predicates : 272 ( 270 usr; 1 prp; 0-5 aty)
% Number of functors : 888 ( 888 usr; 200 con; 0-9 aty)
% Number of variables : 138 ( 14 sgn; 82 !; 3 ?; 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_zfmisc_1: $i > $i ).
tff(decl_47,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_48,type,
k3_zfmisc_1: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
k4_zfmisc_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_51,type,
k1_subset_1: $i > $i ).
tff(decl_52,type,
k2_subset_1: $i > $i ).
tff(decl_53,type,
k3_subset_1: ( $i * $i ) > $i ).
tff(decl_54,type,
k4_subset_1: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
k5_subset_1: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
k6_subset_1: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
k7_subset_1: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
k1_enumset1: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
k2_enumset1: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
k3_enumset1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
k4_enumset1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
k5_enumset1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
k6_enumset1: ( $i * $i * $i * $i * $i * $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,
k2_funcop_1: ( $i * $i ) > $i ).
tff(decl_359,type,
k3_funcop_1: ( $i * $i * $i ) > $i ).
tff(decl_360,type,
k4_funcop_1: ( $i * $i * $i ) > $i ).
tff(decl_361,type,
k5_funcop_1: ( $i * $i * $i ) > $i ).
tff(decl_362,type,
v1_funcop_1: $i > $o ).
tff(decl_363,type,
k12_funct_3: $i > $i ).
tff(decl_364,type,
k13_funct_3: ( $i * $i ) > $i ).
tff(decl_365,type,
k1_funcop_1: $i > $i ).
tff(decl_366,type,
k1_binop_1: ( $i * $i * $i ) > $i ).
tff(decl_367,type,
k6_funcop_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_368,type,
k2_binop_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_369,type,
k7_funcop_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_370,type,
k8_funcop_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_371,type,
k10_funcop_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_372,type,
k9_funcop_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_373,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_374,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_375,type,
v3_binop_1: ( $i * $i ) > $o ).
tff(decl_376,type,
k5_ordinal2: $i ).
tff(decl_377,type,
v1_ordinal2: $i > $o ).
tff(decl_378,type,
k1_ordinal2: $i > $i ).
tff(decl_379,type,
k2_ordinal2: $i > $i ).
tff(decl_380,type,
k3_ordinal2: $i > $i ).
tff(decl_381,type,
k4_ordinal2: $i ).
tff(decl_382,type,
k6_ordinal2: $i > $i ).
tff(decl_383,type,
k7_ordinal2: $i > $i ).
tff(decl_384,type,
k8_ordinal2: $i > $i ).
tff(decl_385,type,
k9_ordinal2: $i > $i ).
tff(decl_386,type,
k10_ordinal2: $i > $i ).
tff(decl_387,type,
k11_ordinal2: $i > $i ).
tff(decl_388,type,
r1_ordinal2: ( $i * $i ) > $o ).
tff(decl_389,type,
k12_ordinal2: $i > $i ).
tff(decl_390,type,
k13_ordinal2: ( $i * $i ) > $i ).
tff(decl_391,type,
v2_ordinal2: $i > $o ).
tff(decl_392,type,
v3_ordinal2: $i > $o ).
tff(decl_393,type,
k14_ordinal2: ( $i * $i ) > $i ).
tff(decl_394,type,
k15_ordinal2: ( $i * $i ) > $i ).
tff(decl_395,type,
k16_ordinal2: ( $i * $i ) > $i ).
tff(decl_396,type,
v4_ordinal2: $i > $o ).
tff(decl_397,type,
p1_s1_ordinal2: $i > $o ).
tff(decl_398,type,
f1_s2_ordinal2: $i ).
tff(decl_399,type,
f2_s2_ordinal2: $i > $i ).
tff(decl_400,type,
f1_s3_ordinal2: $i ).
tff(decl_401,type,
f2_s3_ordinal2: $i > $i ).
tff(decl_402,type,
f5_s4_ordinal2: $i ).
tff(decl_403,type,
f1_s4_ordinal2: $i ).
tff(decl_404,type,
f2_s4_ordinal2: $i ).
tff(decl_405,type,
f3_s4_ordinal2: ( $i * $i ) > $i ).
tff(decl_406,type,
f4_s4_ordinal2: ( $i * $i ) > $i ).
tff(decl_407,type,
f6_s4_ordinal2: $i ).
tff(decl_408,type,
f1_s5_ordinal2: $i ).
tff(decl_409,type,
f2_s5_ordinal2: $i ).
tff(decl_410,type,
f3_s5_ordinal2: ( $i * $i ) > $i ).
tff(decl_411,type,
f4_s5_ordinal2: ( $i * $i ) > $i ).
tff(decl_412,type,
f2_s6_ordinal2: $i > $i ).
tff(decl_413,type,
f4_s6_ordinal2: $i ).
tff(decl_414,type,
f5_s6_ordinal2: ( $i * $i ) > $i ).
tff(decl_415,type,
f6_s6_ordinal2: ( $i * $i ) > $i ).
tff(decl_416,type,
f1_s6_ordinal2: $i ).
tff(decl_417,type,
f3_s6_ordinal2: $i ).
tff(decl_418,type,
f1_s7_ordinal2: $i ).
tff(decl_419,type,
f2_s7_ordinal2: $i ).
tff(decl_420,type,
f3_s7_ordinal2: ( $i * $i ) > $i ).
tff(decl_421,type,
f4_s7_ordinal2: ( $i * $i ) > $i ).
tff(decl_422,type,
f1_s8_ordinal2: $i > $i ).
tff(decl_423,type,
f2_s8_ordinal2: $i ).
tff(decl_424,type,
f3_s8_ordinal2: ( $i * $i ) > $i ).
tff(decl_425,type,
f4_s8_ordinal2: ( $i * $i ) > $i ).
tff(decl_426,type,
f4_s9_ordinal2: $i > $i ).
tff(decl_427,type,
f1_s9_ordinal2: $i ).
tff(decl_428,type,
f2_s9_ordinal2: ( $i * $i ) > $i ).
tff(decl_429,type,
f3_s9_ordinal2: ( $i * $i ) > $i ).
tff(decl_430,type,
f3_s10_ordinal2: $i > $i ).
tff(decl_431,type,
f4_s10_ordinal2: $i ).
tff(decl_432,type,
f5_s10_ordinal2: ( $i * $i ) > $i ).
tff(decl_433,type,
f6_s10_ordinal2: ( $i * $i ) > $i ).
tff(decl_434,type,
f2_s10_ordinal2: $i ).
tff(decl_435,type,
f1_s10_ordinal2: $i ).
tff(decl_436,type,
f1_s11_ordinal2: $i ).
tff(decl_437,type,
f2_s11_ordinal2: $i ).
tff(decl_438,type,
f3_s11_ordinal2: ( $i * $i ) > $i ).
tff(decl_439,type,
f4_s11_ordinal2: ( $i * $i ) > $i ).
tff(decl_440,type,
f2_s12_ordinal2: $i > $i ).
tff(decl_441,type,
f4_s12_ordinal2: $i ).
tff(decl_442,type,
f5_s12_ordinal2: ( $i * $i ) > $i ).
tff(decl_443,type,
f6_s12_ordinal2: ( $i * $i ) > $i ).
tff(decl_444,type,
f1_s12_ordinal2: $i ).
tff(decl_445,type,
f3_s12_ordinal2: $i ).
tff(decl_446,type,
f1_s13_ordinal2: $i ).
tff(decl_447,type,
f2_s13_ordinal2: $i ).
tff(decl_448,type,
f3_s13_ordinal2: ( $i * $i ) > $i ).
tff(decl_449,type,
f4_s13_ordinal2: ( $i * $i ) > $i ).
tff(decl_450,type,
f1_s14_ordinal2: $i > $i ).
tff(decl_451,type,
f2_s14_ordinal2: $i ).
tff(decl_452,type,
f3_s14_ordinal2: ( $i * $i ) > $i ).
tff(decl_453,type,
f4_s14_ordinal2: ( $i * $i ) > $i ).
tff(decl_454,type,
f4_s15_ordinal2: $i > $i ).
tff(decl_455,type,
f1_s15_ordinal2: $i ).
tff(decl_456,type,
f2_s15_ordinal2: ( $i * $i ) > $i ).
tff(decl_457,type,
f3_s15_ordinal2: ( $i * $i ) > $i ).
tff(decl_458,type,
f3_s16_ordinal2: $i > $i ).
tff(decl_459,type,
f4_s16_ordinal2: $i ).
tff(decl_460,type,
f5_s16_ordinal2: ( $i * $i ) > $i ).
tff(decl_461,type,
f6_s16_ordinal2: ( $i * $i ) > $i ).
tff(decl_462,type,
f2_s16_ordinal2: $i ).
tff(decl_463,type,
f1_s16_ordinal2: $i ).
tff(decl_464,type,
v1_finset_1: $i > $o ).
tff(decl_465,type,
f1_s1_finset_1: $i ).
tff(decl_466,type,
p1_s1_finset_1: $i > $o ).
tff(decl_467,type,
f2_s1_finset_1: $i > $i ).
tff(decl_468,type,
f3_s1_finset_1: $i > $i ).
tff(decl_469,type,
f1_s2_finset_1: $i ).
tff(decl_470,type,
p1_s2_finset_1: $i > $o ).
tff(decl_471,type,
k1_numbers: $i ).
tff(decl_472,type,
k2_numbers: $i ).
tff(decl_473,type,
k3_numbers: $i ).
tff(decl_474,type,
k4_numbers: $i ).
tff(decl_475,type,
k2_arytm_2: $i ).
tff(decl_476,type,
np__0: $i ).
tff(decl_477,type,
k6_arytm_3: $i ).
tff(decl_478,type,
k5_numbers: $i ).
tff(decl_479,type,
k13_arytm_3: $i ).
tff(decl_480,type,
a_0_0_numbers: $i ).
tff(decl_481,type,
v1_xreal_0: $i > $o ).
tff(decl_482,type,
v1_xcmplx_0: $i > $o ).
tff(decl_483,type,
k4_xcmplx_0: $i > $i ).
tff(decl_484,type,
k5_xcmplx_0: $i > $i ).
tff(decl_485,type,
k2_xcmplx_0: ( $i * $i ) > $i ).
tff(decl_486,type,
k3_xcmplx_0: ( $i * $i ) > $i ).
tff(decl_487,type,
k6_xcmplx_0: ( $i * $i ) > $i ).
tff(decl_488,type,
k7_xcmplx_0: ( $i * $i ) > $i ).
tff(decl_489,type,
v2_xreal_0: $i > $o ).
tff(decl_490,type,
v3_xreal_0: $i > $o ).
tff(decl_491,type,
r1_xreal_0: ( $i * $i ) > $o ).
tff(decl_492,type,
r1_arytm_2: ( $i * $i ) > $o ).
tff(decl_493,type,
v1_int_1: $i > $o ).
tff(decl_494,type,
k3_int_1: $i > $i ).
tff(decl_495,type,
k1_real_1: $i > $i ).
tff(decl_496,type,
np__1: $i ).
tff(decl_497,type,
r1_int_1: ( $i * $i * $i ) > $o ).
tff(decl_498,type,
k1_int_1: $i > $i ).
tff(decl_499,type,
k2_int_1: $i > $i ).
tff(decl_500,type,
k4_int_1: $i > $i ).
tff(decl_501,type,
k5_int_1: ( $i * $i ) > $i ).
tff(decl_502,type,
k6_int_1: ( $i * $i ) > $i ).
tff(decl_503,type,
r2_int_1: ( $i * $i ) > $o ).
tff(decl_504,type,
p1_s1_int_1: $i > $o ).
tff(decl_505,type,
f1_s2_int_1: $i ).
tff(decl_506,type,
p1_s2_int_1: $i > $o ).
tff(decl_507,type,
f1_s3_int_1: $i ).
tff(decl_508,type,
p1_s3_int_1: $i > $o ).
tff(decl_509,type,
f1_s4_int_1: $i ).
tff(decl_510,type,
p1_s4_int_1: $i > $o ).
tff(decl_511,type,
p1_s5_int_1: $i > $o ).
tff(decl_512,type,
f1_s5_int_1: $i ).
tff(decl_513,type,
p1_s6_int_1: $i > $o ).
tff(decl_514,type,
f1_s6_int_1: $i ).
tff(decl_515,type,
v1_card_1: $i > $o ).
tff(decl_516,type,
k3_card_1: $i > $i ).
tff(decl_517,type,
k1_card_1: $i > $i ).
tff(decl_518,type,
r2_wellord2: ( $i * $i ) > $o ).
tff(decl_519,type,
v2_wellord1: $i > $o ).
tff(decl_520,type,
k2_wellord2: $i > $i ).
tff(decl_521,type,
k2_card_1: $i > $i ).
tff(decl_522,type,
v2_card_1: $i > $o ).
tff(decl_523,type,
k1_nat_1: ( $i * $i ) > $i ).
tff(decl_524,type,
k4_card_1: $i > $i ).
tff(decl_525,type,
p1_s1_card_1: $i > $o ).
tff(decl_526,type,
p1_s2_card_1: $i > $o ).
tff(decl_527,type,
v1_finseq_1: $i > $o ).
tff(decl_528,type,
k1_finseq_1: $i > $i ).
tff(decl_529,type,
m1_finseq_1: ( $i * $i ) > $o ).
tff(decl_530,type,
k5_finseq_1: $i > $i ).
tff(decl_531,type,
k10_finseq_1: ( $i * $i ) > $i ).
tff(decl_532,type,
k11_finseq_1: ( $i * $i * $i ) > $i ).
tff(decl_533,type,
k13_finseq_1: $i > $i ).
tff(decl_534,type,
v2_finseq_1: $i > $o ).
tff(decl_535,type,
k15_finseq_1: $i > $i ).
tff(decl_536,type,
k7_finseq_1: ( $i * $i ) > $i ).
tff(decl_537,type,
k16_finseq_1: ( $i * $i * $i ) > $i ).
tff(decl_538,type,
v1_fraenkel: $i > $o ).
tff(decl_539,type,
k2_finseq_1: $i > $i ).
tff(decl_540,type,
np__2: $i ).
tff(decl_541,type,
k3_finseq_1: $i > $i ).
tff(decl_542,type,
k4_finseq_1: $i > $i ).
tff(decl_543,type,
m2_finseq_1: ( $i * $i ) > $o ).
tff(decl_544,type,
k6_finseq_1: $i > $i ).
tff(decl_545,type,
k9_finseq_1: $i > $i ).
tff(decl_546,type,
np__3: $i ).
tff(decl_547,type,
k14_finseq_1: $i > $i ).
tff(decl_548,type,
k17_finseq_1: $i > $i ).
tff(decl_549,type,
f1_s1_finseq_1: $i ).
tff(decl_550,type,
p1_s1_finseq_1: ( $i * $i ) > $o ).
tff(decl_551,type,
f1_s2_finseq_1: $i ).
tff(decl_552,type,
f2_s2_finseq_1: $i > $i ).
tff(decl_553,type,
p1_s3_finseq_1: $i > $o ).
tff(decl_554,type,
f1_s4_finseq_1: $i ).
tff(decl_555,type,
p1_s4_finseq_1: $i > $o ).
tff(decl_556,type,
f2_s5_finseq_1: $i ).
tff(decl_557,type,
f1_s5_finseq_1: $i ).
tff(decl_558,type,
p1_s5_finseq_1: ( $i * $i ) > $o ).
tff(decl_559,type,
k8_finseq_1: ( $i * $i * $i ) > $i ).
tff(decl_560,type,
k12_finseq_1: ( $i * $i ) > $i ).
tff(decl_561,type,
a_1_0_finseq_1: $i > $i ).
tff(decl_562,type,
k1_orders_1: $i > $i ).
tff(decl_563,type,
m1_orders_1: ( $i * $i ) > $o ).
tff(decl_564,type,
v1_orders_1: $i > $o ).
tff(decl_565,type,
v2_orders_1: $i > $o ).
tff(decl_566,type,
v3_orders_1: $i > $o ).
tff(decl_567,type,
k2_wellord1: ( $i * $i ) > $i ).
tff(decl_568,type,
r1_orders_1: ( $i * $i ) > $o ).
tff(decl_569,type,
r2_orders_1: ( $i * $i ) > $o ).
tff(decl_570,type,
r3_orders_1: ( $i * $i ) > $o ).
tff(decl_571,type,
r2_wellord1: ( $i * $i ) > $o ).
tff(decl_572,type,
r4_orders_1: ( $i * $i ) > $o ).
tff(decl_573,type,
r5_orders_1: ( $i * $i ) > $o ).
tff(decl_574,type,
r6_orders_1: ( $i * $i ) > $o ).
tff(decl_575,type,
r7_orders_1: ( $i * $i ) > $o ).
tff(decl_576,type,
r8_orders_1: ( $i * $i ) > $o ).
tff(decl_577,type,
r9_orders_1: ( $i * $i ) > $o ).
tff(decl_578,type,
f1_s1_orders_1: $i ).
tff(decl_579,type,
p1_s1_orders_1: ( $i * $i ) > $o ).
tff(decl_580,type,
f1_s2_orders_1: $i ).
tff(decl_581,type,
p1_s2_orders_1: ( $i * $i ) > $o ).
tff(decl_582,type,
k1_eqrel_1: $i > $i ).
tff(decl_583,type,
m1_eqrel_1: ( $i * $i ) > $o ).
tff(decl_584,type,
k7_eqrel_1: ( $i * $i ) > $i ).
tff(decl_585,type,
k4_eqrel_1: ( $i * $i * $i ) > $i ).
tff(decl_586,type,
k2_eqrel_1: ( $i * $i * $i ) > $i ).
tff(decl_587,type,
k5_eqrel_1: ( $i * $i * $i ) > $i ).
tff(decl_588,type,
k3_eqrel_1: ( $i * $i * $i ) > $i ).
tff(decl_589,type,
k6_eqrel_1: ( $i * $i * $i ) > $i ).
tff(decl_590,type,
f1_s1_eqrel_1: $i ).
tff(decl_591,type,
p1_s1_eqrel_1: ( $i * $i ) > $o ).
tff(decl_592,type,
k8_eqrel_1: ( $i * $i ) > $i ).
tff(decl_593,type,
k2_funct_4: $i > $i ).
tff(decl_594,type,
k1_funct_5: $i > $i ).
tff(decl_595,type,
k2_funct_5: $i > $i ).
tff(decl_596,type,
k3_funct_5: $i > $i ).
tff(decl_597,type,
k4_funct_5: $i > $i ).
tff(decl_598,type,
k5_funct_5: $i > $i ).
tff(decl_599,type,
k6_funct_5: $i > $i ).
tff(decl_600,type,
f1_s1_funct_5: $i ).
tff(decl_601,type,
f2_s1_funct_5: $i > $i ).
tff(decl_602,type,
m1_finseq_2: ( $i * $i ) > $o ).
tff(decl_603,type,
k4_finseq_2: ( $i * $i ) > $i ).
tff(decl_604,type,
k3_square_1: ( $i * $i ) > $i ).
tff(decl_605,type,
k4_square_1: ( $i * $i ) > $i ).
tff(decl_606,type,
k2_square_1: ( $i * $i ) > $i ).
tff(decl_607,type,
k1_finseq_2: $i > $i ).
tff(decl_608,type,
k2_finseq_2: ( $i * $i ) > $i ).
tff(decl_609,type,
k3_finseq_2: $i > $i ).
tff(decl_610,type,
m2_finseq_2: ( $i * $i * $i ) > $o ).
tff(decl_611,type,
f2_s1_finseq_2: $i ).
tff(decl_612,type,
f1_s1_finseq_2: $i ).
tff(decl_613,type,
f3_s1_finseq_2: $i > $i ).
tff(decl_614,type,
f1_s2_finseq_2: $i ).
tff(decl_615,type,
p1_s2_finseq_2: $i > $o ).
tff(decl_616,type,
a_2_0_finseq_2: ( $i * $i ) > $i ).
tff(decl_617,type,
a_1_0_finseq_2: $i > $i ).
tff(decl_618,type,
a_1_1_finseq_2: $i > $i ).
tff(decl_619,type,
a_1_2_finseq_2: $i > $i ).
tff(decl_620,type,
a_3_0_finseq_2: ( $i * $i * $i ) > $i ).
tff(decl_621,type,
a_1_3_finseq_2: $i > $i ).
tff(decl_622,type,
m1_pboole: ( $i * $i ) > $o ).
tff(decl_623,type,
m3_pboole: ( $i * $i * $i * $i ) > $o ).
tff(decl_624,type,
k6_pboole: ( $i * $i ) > $i ).
tff(decl_625,type,
m4_pboole: ( $i * $i * $i ) > $o ).
tff(decl_626,type,
k1_pboole: $i > $i ).
tff(decl_627,type,
r1_pboole: ( $i * $i * $i ) > $o ).
tff(decl_628,type,
r2_pboole: ( $i * $i * $i ) > $o ).
tff(decl_629,type,
k2_pboole: ( $i * $i * $i ) > $i ).
tff(decl_630,type,
k3_pboole: ( $i * $i * $i ) > $i ).
tff(decl_631,type,
k4_pboole: ( $i * $i * $i ) > $i ).
tff(decl_632,type,
r4_pboole: ( $i * $i * $i ) > $o ).
tff(decl_633,type,
r5_pboole: ( $i * $i * $i ) > $o ).
tff(decl_634,type,
k5_pboole: ( $i * $i * $i ) > $i ).
tff(decl_635,type,
r6_pboole: ( $i * $i * $i ) > $o ).
tff(decl_636,type,
r7_pboole: ( $i * $i * $i ) > $o ).
tff(decl_637,type,
r3_pboole: ( $i * $i * $i ) > $o ).
tff(decl_638,type,
m2_pboole: ( $i * $i * $i ) > $o ).
tff(decl_639,type,
k4_card_3: $i > $i ).
tff(decl_640,type,
k9_pboole: $i > $i ).
tff(decl_641,type,
k7_pboole: ( $i * $i * $i * $i ) > $i ).
tff(decl_642,type,
k11_pboole: ( $i * $i * $i ) > $i ).
tff(decl_643,type,
k12_pboole: ( $i * $i * $i ) > $i ).
tff(decl_644,type,
k13_pboole: ( $i * $i ) > $i ).
tff(decl_645,type,
k14_pboole: ( $i * $i * $i ) > $i ).
tff(decl_646,type,
f1_s1_pboole: $i ).
tff(decl_647,type,
f2_s1_pboole: $i > $i ).
tff(decl_648,type,
f1_s2_pboole: $i ).
tff(decl_649,type,
f2_s2_pboole: $i ).
tff(decl_650,type,
p1_s2_pboole: ( $i * $i ) > $o ).
tff(decl_651,type,
f1_s3_pboole: $i ).
tff(decl_652,type,
p1_s3_pboole: ( $i * $i ) > $o ).
tff(decl_653,type,
f1_s4_pboole: $i ).
tff(decl_654,type,
f2_s4_pboole: $i > $i ).
tff(decl_655,type,
f1_s5_pboole: $i ).
tff(decl_656,type,
f2_s5_pboole: $i > $i ).
tff(decl_657,type,
v1_pboole: ( $i * $i ) > $o ).
tff(decl_658,type,
v2_pboole: ( $i * $i ) > $o ).
tff(decl_659,type,
k8_pboole: ( $i * $i * $i * $i ) > $i ).
tff(decl_660,type,
k10_pboole: ( $i * $i ) > $i ).
tff(decl_661,type,
k1_realset1: ( $i * $i ) > $i ).
tff(decl_662,type,
v1_realset1: $i > $o ).
tff(decl_663,type,
m4_realset1: ( $i * $i ) > $o ).
tff(decl_664,type,
r1_realset1: ( $i * $i * $i ) > $o ).
tff(decl_665,type,
m1_realset1: ( $i * $i * $i ) > $o ).
tff(decl_666,type,
r2_realset1: ( $i * $i * $i ) > $o ).
tff(decl_667,type,
m2_realset1: ( $i * $i * $i ) > $o ).
tff(decl_668,type,
k3_realset1: ( $i * $i * $i ) > $i ).
tff(decl_669,type,
m3_realset1: ( $i * $i * $i ) > $o ).
tff(decl_670,type,
k4_realset1: ( $i * $i * $i ) > $i ).
tff(decl_671,type,
k2_realset1: ( $i * $i * $i ) > $i ).
tff(decl_672,type,
k5_realset1: ( $i * $i ) > $i ).
tff(decl_673,type,
k1_sysrel: $i > $i ).
tff(decl_674,type,
v1_pre_circ: ( $i * $i ) > $o ).
tff(decl_675,type,
k1_mboolean: ( $i * $i ) > $i ).
tff(decl_676,type,
v1_mssubfam: ( $i * $i * $i ) > $o ).
tff(decl_677,type,
v2_mssubfam: ( $i * $i * $i ) > $o ).
tff(decl_678,type,
v3_mssubfam: ( $i * $i * $i ) > $o ).
tff(decl_679,type,
v4_mssubfam: ( $i * $i * $i ) > $o ).
tff(decl_680,type,
v5_mssubfam: ( $i * $i * $i ) > $o ).
tff(decl_681,type,
v6_mssubfam: ( $i * $i * $i ) > $o ).
tff(decl_682,type,
k2_mssubfam: ( $i * $i ) > $i ).
tff(decl_683,type,
k1_mssubfam: ( $i * $i ) > $i ).
tff(decl_684,type,
r1_pzfmisc1: ( $i * $i * $i ) > $o ).
tff(decl_685,type,
k2_mboolean: ( $i * $i ) > $i ).
tff(decl_686,type,
k1_pzfmisc1: ( $i * $i ) > $i ).
tff(decl_687,type,
k2_pzfmisc1: ( $i * $i * $i ) > $i ).
tff(decl_688,type,
k5_mssubfam: ( $i * $i * $i ) > $i ).
tff(decl_689,type,
k6_mssubfam: ( $i * $i * $i ) > $i ).
tff(decl_690,type,
f1_s1_mssubfam: $i ).
tff(decl_691,type,
f2_s1_mssubfam: $i ).
tff(decl_692,type,
f3_s1_mssubfam: $i ).
tff(decl_693,type,
p1_s1_mssubfam: ( $i * $i * $i ) > $o ).
tff(decl_694,type,
k2_funct_6: $i > $i ).
tff(decl_695,type,
k3_funct_6: $i > $i ).
tff(decl_696,type,
k3_mssubfam: ( $i * $i ) > $i ).
tff(decl_697,type,
k4_mssubfam: ( $i * $i * $i * $i ) > $i ).
tff(decl_698,type,
k7_mssubfam: ( $i * $i ) > $i ).
tff(decl_699,type,
l1_struct_0: $i > $o ).
tff(decl_700,type,
v1_struct_0: $i > $o ).
tff(decl_701,type,
l2_struct_0: $i > $o ).
tff(decl_702,type,
v2_struct_0: $i > $o ).
tff(decl_703,type,
v3_struct_0: $i > $o ).
tff(decl_704,type,
u1_struct_0: $i > $i ).
tff(decl_705,type,
m1_struct_0: ( $i * $i * $i ) > $o ).
tff(decl_706,type,
g1_struct_0: $i > $i ).
tff(decl_707,type,
u2_struct_0: $i > $i ).
tff(decl_708,type,
g2_struct_0: ( $i * $i ) > $i ).
tff(decl_709,type,
k1_struct_0: ( $i * $i ) > $i ).
tff(decl_710,type,
k2_struct_0: ( $i * $i * $i ) > $i ).
tff(decl_711,type,
l1_rlvect_1: $i > $o ).
tff(decl_712,type,
v1_rlvect_1: $i > $o ).
tff(decl_713,type,
l2_rlvect_1: $i > $o ).
tff(decl_714,type,
v2_rlvect_1: $i > $o ).
tff(decl_715,type,
g2_rlvect_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_716,type,
v3_rlvect_1: $i > $o ).
tff(decl_717,type,
v4_rlvect_1: $i > $o ).
tff(decl_718,type,
v5_rlvect_1: $i > $o ).
tff(decl_719,type,
v6_rlvect_1: $i > $o ).
tff(decl_720,type,
v7_rlvect_1: $i > $o ).
tff(decl_721,type,
r1_rlvect_1: ( $i * $i ) > $o ).
tff(decl_722,type,
k1_rlvect_1: $i > $i ).
tff(decl_723,type,
k2_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_724,type,
u1_rlvect_1: $i > $i ).
tff(decl_725,type,
k3_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_726,type,
u2_rlvect_1: $i > $i ).
tff(decl_727,type,
k3_real_1: ( $i * $i ) > $i ).
tff(decl_728,type,
k4_real_1: ( $i * $i ) > $i ).
tff(decl_729,type,
k5_rlvect_1: ( $i * $i ) > $i ).
tff(decl_730,type,
k6_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_731,type,
k4_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_732,type,
k5_real_1: ( $i * $i ) > $i ).
tff(decl_733,type,
k9_rlvect_1: ( $i * $i ) > $i ).
tff(decl_734,type,
k7_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_735,type,
k8_rlvect_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_736,type,
v8_rlvect_1: ( $i * $i ) > $o ).
tff(decl_737,type,
g1_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_738,type,
l1_group_1: $i > $o ).
tff(decl_739,type,
v1_group_1: $i > $o ).
tff(decl_740,type,
g1_group_1: ( $i * $i ) > $i ).
tff(decl_741,type,
v3_group_1: $i > $o ).
tff(decl_742,type,
v2_group_1: $i > $o ).
tff(decl_743,type,
v4_group_1: $i > $o ).
tff(decl_744,type,
v7_group_1: $i > $o ).
tff(decl_745,type,
k1_group_1: ( $i * $i * $i ) > $i ).
tff(decl_746,type,
u1_group_1: $i > $i ).
tff(decl_747,type,
k33_binop_2: $i ).
tff(decl_748,type,
k2_group_1: $i > $i ).
tff(decl_749,type,
k3_group_1: ( $i * $i ) > $i ).
tff(decl_750,type,
k4_group_1: $i > $i ).
tff(decl_751,type,
r3_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_752,type,
k3_binop_1: ( $i * $i ) > $i ).
tff(decl_753,type,
v1_setwiseo: ( $i * $i ) > $o ).
tff(decl_754,type,
r1_finseqop: ( $i * $i * $i ) > $o ).
tff(decl_755,type,
v1_finseqop: ( $i * $i ) > $o ).
tff(decl_756,type,
k6_finseqop: ( $i * $i ) > $i ).
tff(decl_757,type,
k5_group_1: $i > $i ).
tff(decl_758,type,
k6_group_1: ( $i * $i * $i ) > $i ).
tff(decl_759,type,
k1_int_2: $i > $i ).
tff(decl_760,type,
k2_nat_1: ( $i * $i ) > $i ).
tff(decl_761,type,
k7_binop_2: $i > $i ).
tff(decl_762,type,
v5_group_1: ( $i * $i ) > $o ).
tff(decl_763,type,
k7_group_1: ( $i * $i ) > $i ).
tff(decl_764,type,
r1_nat_1: ( $i * $i ) > $o ).
tff(decl_765,type,
k8_group_1: $i > $i ).
tff(decl_766,type,
v6_group_1: $i > $o ).
tff(decl_767,type,
k9_group_1: $i > $i ).
tff(decl_768,type,
k10_group_1: ( $i * $i * $i ) > $i ).
tff(decl_769,type,
k1_vectsp_1: $i ).
tff(decl_770,type,
l1_vectsp_1: $i > $o ).
tff(decl_771,type,
v1_vectsp_1: $i > $o ).
tff(decl_772,type,
l2_vectsp_1: $i > $o ).
tff(decl_773,type,
v2_vectsp_1: $i > $o ).
tff(decl_774,type,
l3_vectsp_1: $i > $o ).
tff(decl_775,type,
v3_vectsp_1: $i > $o ).
tff(decl_776,type,
k3_vectsp_1: $i ).
tff(decl_777,type,
v6_vectsp_1: $i > $o ).
tff(decl_778,type,
v7_vectsp_1: $i > $o ).
tff(decl_779,type,
v8_vectsp_1: $i > $o ).
tff(decl_780,type,
v9_vectsp_1: $i > $o ).
tff(decl_781,type,
v10_vectsp_1: $i > $o ).
tff(decl_782,type,
v4_vectsp_1: $i > $o ).
tff(decl_783,type,
v5_vectsp_1: $i > $o ).
tff(decl_784,type,
l4_vectsp_1: ( $i * $i ) > $o ).
tff(decl_785,type,
v11_vectsp_1: ( $i * $i ) > $o ).
tff(decl_786,type,
g4_vectsp_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_787,type,
v12_vectsp_1: ( $i * $i ) > $o ).
tff(decl_788,type,
v13_vectsp_1: $i > $o ).
tff(decl_789,type,
k2_vectsp_1: $i > $i ).
tff(decl_790,type,
u1_vectsp_1: $i > $i ).
tff(decl_791,type,
k35_binop_2: $i ).
tff(decl_792,type,
g3_vectsp_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_793,type,
k4_vectsp_1: ( $i * $i ) > $i ).
tff(decl_794,type,
k5_vectsp_1: ( $i * $i * $i ) > $i ).
tff(decl_795,type,
k6_vectsp_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_796,type,
u2_vectsp_1: ( $i * $i ) > $i ).
tff(decl_797,type,
k7_vectsp_1: $i > $i ).
tff(decl_798,type,
g1_vectsp_1: ( $i * $i * $i ) > $i ).
tff(decl_799,type,
g2_vectsp_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_800,type,
v1_realset2: $i > $o ).
tff(decl_801,type,
v2_realset2: $i > $o ).
tff(decl_802,type,
v3_realset2: $i > $o ).
tff(decl_803,type,
v4_realset2: $i > $o ).
tff(decl_804,type,
k1_realset2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_805,type,
k2_realset2: $i > $i ).
tff(decl_806,type,
k3_realset2: $i > $i ).
tff(decl_807,type,
k4_realset2: $i > $i ).
tff(decl_808,type,
k5_realset2: $i > $i ).
tff(decl_809,type,
k6_realset2: $i > $i ).
tff(decl_810,type,
k7_realset2: $i > $i ).
tff(decl_811,type,
k8_realset2: $i > $i ).
tff(decl_812,type,
v1_unialg_1: ( $i * $i ) > $o ).
tff(decl_813,type,
v2_unialg_1: ( $i * $i ) > $o ).
tff(decl_814,type,
l1_unialg_1: $i > $o ).
tff(decl_815,type,
v3_unialg_1: $i > $o ).
tff(decl_816,type,
g1_unialg_1: ( $i * $i ) > $i ).
tff(decl_817,type,
v4_unialg_1: ( $i * $i ) > $o ).
tff(decl_818,type,
v5_unialg_1: ( $i * $i ) > $o ).
tff(decl_819,type,
v6_unialg_1: $i > $o ).
tff(decl_820,type,
v7_unialg_1: $i > $o ).
tff(decl_821,type,
v8_unialg_1: $i > $o ).
tff(decl_822,type,
u1_unialg_1: $i > $i ).
tff(decl_823,type,
k1_unialg_1: ( $i * $i ) > $i ).
tff(decl_824,type,
k2_unialg_1: ( $i * $i ) > $i ).
tff(decl_825,type,
k3_unialg_1: $i > $i ).
tff(decl_826,type,
l1_msualg_1: $i > $o ).
tff(decl_827,type,
v1_msualg_1: $i > $o ).
tff(decl_828,type,
v2_msualg_1: $i > $o ).
tff(decl_829,type,
l2_msualg_1: ( $i * $i ) > $o ).
tff(decl_830,type,
v3_msualg_1: ( $i * $i ) > $o ).
tff(decl_831,type,
l3_msualg_1: ( $i * $i ) > $o ).
tff(decl_832,type,
v4_msualg_1: ( $i * $i ) > $o ).
tff(decl_833,type,
v5_msualg_1: ( $i * $i ) > $o ).
tff(decl_834,type,
u4_msualg_1: ( $i * $i ) > $i ).
tff(decl_835,type,
v6_msualg_1: $i > $o ).
tff(decl_836,type,
k7_msualg_1: $i > $i ).
tff(decl_837,type,
k10_msualg_1: $i > $i ).
tff(decl_838,type,
k11_msualg_1: ( $i * $i ) > $i ).
tff(decl_839,type,
u1_msualg_1: $i > $i ).
tff(decl_840,type,
k1_msualg_1: ( $i * $i ) > $i ).
tff(decl_841,type,
u2_msualg_1: $i > $i ).
tff(decl_842,type,
k2_msualg_1: ( $i * $i ) > $i ).
tff(decl_843,type,
u3_msualg_1: $i > $i ).
tff(decl_844,type,
k3_msualg_1: ( $i * $i * $i ) > $i ).
tff(decl_845,type,
k4_msualg_1: ( $i * $i * $i ) > $i ).
tff(decl_846,type,
k5_msualg_1: ( $i * $i * $i ) > $i ).
tff(decl_847,type,
u5_msualg_1: ( $i * $i ) > $i ).
tff(decl_848,type,
k6_msualg_1: $i > $i ).
tff(decl_849,type,
k8_msualg_1: $i > $i ).
tff(decl_850,type,
k9_msualg_1: $i > $i ).
tff(decl_851,type,
g3_msualg_1: ( $i * $i * $i ) > $i ).
tff(decl_852,type,
k12_msualg_1: ( $i * $i ) > $i ).
tff(decl_853,type,
k13_msualg_1: ( $i * $i ) > $i ).
tff(decl_854,type,
g1_msualg_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_855,type,
g2_msualg_1: ( $i * $i ) > $i ).
tff(decl_856,type,
m2_pua2mss1: ( $i * $i ) > $o ).
tff(decl_857,type,
k7_pua2mss1: $i > $i ).
tff(decl_858,type,
k10_pua2mss1: $i > $i ).
tff(decl_859,type,
m3_pua2mss1: ( $i * $i ) > $o ).
tff(decl_860,type,
k12_pua2mss1: ( $i * $i ) > $i ).
tff(decl_861,type,
k2_pua2mss1: ( $i * $i ) > $i ).
tff(decl_862,type,
k3_pua2mss1: $i > $i ).
tff(decl_863,type,
k6_pua2mss1: ( $i * $i * $i ) > $i ).
tff(decl_864,type,
k3_card_3: $i > $i ).
tff(decl_865,type,
k1_pua2mss1: ( $i * $i ) > $i ).
tff(decl_866,type,
m1_pua2mss1: ( $i * $i * $i * $i ) > $o ).
tff(decl_867,type,
k8_pua2mss1: ( $i * $i ) > $i ).
tff(decl_868,type,
k9_pua2mss1: ( $i * $i * $i ) > $i ).
tff(decl_869,type,
r1_pua2mss1: ( $i * $i * $i ) > $o ).
tff(decl_870,type,
r2_pua2mss1: ( $i * $i * $i ) > $o ).
tff(decl_871,type,
m4_pua2mss1: ( $i * $i ) > $o ).
tff(decl_872,type,
k4_pua2mss1: ( $i * $i ) > $i ).
tff(decl_873,type,
r3_pua2mss1: ( $i * $i * $i * $i ) > $o ).
tff(decl_874,type,
r4_pua2mss1: ( $i * $i ) > $o ).
tff(decl_875,type,
r6_pua2mss1: ( $i * $i * $i * $i ) > $o ).
tff(decl_876,type,
r7_pua2mss1: ( $i * $i ) > $o ).
tff(decl_877,type,
r5_pua2mss1: ( $i * $i ) > $o ).
tff(decl_878,type,
f1_s1_pua2mss1: $i ).
tff(decl_879,type,
f2_s1_pua2mss1: $i ).
tff(decl_880,type,
f3_s1_pua2mss1: $i ).
tff(decl_881,type,
f4_s1_pua2mss1: $i ).
tff(decl_882,type,
f5_s1_pua2mss1: ( $i * $i ) > $i ).
tff(decl_883,type,
f1_s2_pua2mss1: $i ).
tff(decl_884,type,
f2_s2_pua2mss1: $i ).
tff(decl_885,type,
p1_s2_pua2mss1: ( $i * $i ) > $o ).
tff(decl_886,type,
f1_s3_pua2mss1: $i ).
tff(decl_887,type,
f2_s3_pua2mss1: $i ).
tff(decl_888,type,
f3_s3_pua2mss1: $i ).
tff(decl_889,type,
f4_s3_pua2mss1: $i ).
tff(decl_890,type,
f5_s3_pua2mss1: ( $i * $i ) > $i ).
tff(decl_891,type,
f1_s4_pua2mss1: $i ).
tff(decl_892,type,
p1_s4_pua2mss1: $i > $o ).
tff(decl_893,type,
f2_s4_pua2mss1: $i ).
tff(decl_894,type,
p2_s4_pua2mss1: ( $i * $i ) > $o ).
tff(decl_895,type,
k5_pua2mss1: ( $i * $i ) > $i ).
tff(decl_896,type,
k11_pua2mss1: ( $i * $i ) > $i ).
tff(decl_897,type,
k13_pua2mss1: ( $i * $i * $i ) > $i ).
tff(decl_898,type,
k14_pua2mss1: ( $i * $i * $i ) > $i ).
tff(decl_899,type,
a_4_0_pua2mss1: ( $i * $i * $i * $i ) > $i ).
tff(decl_900,type,
a_2_0_pua2mss1: ( $i * $i ) > $i ).
tff(decl_901,type,
a_3_0_pua2mss1: ( $i * $i * $i ) > $i ).
tff(decl_902,type,
a_3_1_pua2mss1: ( $i * $i * $i ) > $i ).
tff(decl_903,type,
a_2_1_pua2mss1: ( $i * $i ) > $i ).
tff(decl_904,type,
a_1_0_pua2mss1: $i > $i ).
tff(decl_905,type,
a_2_2_pua2mss1: ( $i * $i ) > $i ).
tff(decl_906,type,
k1_relset_2: ( $i * $i * $i ) > $i ).
tff(decl_907,type,
k2_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_908,type,
k3_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_909,type,
k4_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_910,type,
k5_relset_2: ( $i * $i ) > $i ).
tff(decl_911,type,
k6_relset_2: ( $i * $i * $i ) > $i ).
tff(decl_912,type,
k8_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_913,type,
k7_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_914,type,
k9_relset_2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_915,type,
a_3_0_relset_2: ( $i * $i * $i ) > $i ).
tff(decl_916,type,
a_2_0_relset_2: ( $i * $i ) > $i ).
tff(decl_917,type,
a_4_0_relset_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_918,type,
epred1_2: ( $i * $i ) > $o ).
tff(decl_919,type,
epred2_5: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_920,type,
esk1_0: $i ).
tff(decl_921,type,
esk2_0: $i ).
tff(decl_922,type,
esk3_0: $i ).
tff(decl_923,type,
esk4_0: $i ).
tff(decl_924,type,
esk5_0: $i ).
tff(decl_925,type,
esk6_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_926,type,
esk7_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_927,type,
esk8_1: $i > $i ).
tff(decl_928,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_929,type,
esk10_1: $i > $i ).
tff(decl_930,type,
esk11_1: $i > $i ).
tff(decl_931,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_932,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_933,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_934,type,
esk15_1: $i > $i ).
tff(decl_935,type,
esk16_1: $i > $i ).
tff(decl_936,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_937,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_938,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_939,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_940,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_941,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_942,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_943,type,
esk24_1: $i > $i ).
tff(decl_944,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_945,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_946,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_947,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_948,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_949,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_950,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_951,type,
esk32_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_952,type,
esk33_3: ( $i * $i * $i ) > $i ).
tff(decl_953,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_954,type,
esk35_1: $i > $i ).
tff(decl_955,type,
esk36_1: $i > $i ).
tff(decl_956,type,
esk37_1: $i > $i ).
tff(decl_957,type,
esk38_1: $i > $i ).
tff(decl_958,type,
esk39_1: $i > $i ).
tff(decl_959,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_960,type,
esk41_2: ( $i * $i ) > $i ).
tff(decl_961,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_962,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_963,type,
esk44_0: $i ).
tff(decl_964,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_965,type,
esk46_0: $i ).
tff(decl_966,type,
esk47_0: $i ).
tff(decl_967,type,
esk48_0: $i ).
tff(decl_968,type,
esk49_0: $i ).
tff(decl_969,type,
esk50_0: $i ).
tff(decl_970,type,
esk51_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_971,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_972,type,
esk53_3: ( $i * $i * $i ) > $i ).
tff(decl_973,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_974,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_975,type,
esk56_3: ( $i * $i * $i ) > $i ).
tff(decl_976,type,
esk57_2: ( $i * $i ) > $i ).
tff(decl_977,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_978,type,
esk59_3: ( $i * $i * $i ) > $i ).
tff(decl_979,type,
esk60_3: ( $i * $i * $i ) > $i ).
tff(decl_980,type,
esk61_3: ( $i * $i * $i ) > $i ).
tff(decl_981,type,
esk62_3: ( $i * $i * $i ) > $i ).
tff(decl_982,type,
esk63_0: $i ).
tff(decl_983,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_984,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_985,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_986,type,
esk67_3: ( $i * $i * $i ) > $i ).
tff(decl_987,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_988,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_989,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_990,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_991,type,
esk72_3: ( $i * $i * $i ) > $i ).
tff(decl_992,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_993,type,
esk74_3: ( $i * $i * $i ) > $i ).
tff(decl_994,type,
esk75_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_995,type,
esk76_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_996,type,
esk77_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_997,type,
esk78_3: ( $i * $i * $i ) > $i ).
tff(decl_998,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_999,type,
esk80_1: $i > $i ).
tff(decl_1000,type,
esk81_3: ( $i * $i * $i ) > $i ).
tff(decl_1001,type,
esk82_2: ( $i * $i ) > $i ).
tff(decl_1002,type,
esk83_2: ( $i * $i ) > $i ).
tff(decl_1003,type,
esk84_2: ( $i * $i ) > $i ).
tff(decl_1004,type,
esk85_2: ( $i * $i ) > $i ).
tff(decl_1005,type,
esk86_2: ( $i * $i ) > $i ).
tff(decl_1006,type,
esk87_2: ( $i * $i ) > $i ).
tff(decl_1007,type,
esk88_3: ( $i * $i * $i ) > $i ).
tff(decl_1008,type,
esk89_1: $i > $i ).
tff(decl_1009,type,
esk90_1: $i > $i ).
tff(decl_1010,type,
esk91_1: $i > $i ).
tff(decl_1011,type,
esk92_3: ( $i * $i * $i ) > $i ).
tff(decl_1012,type,
esk93_3: ( $i * $i * $i ) > $i ).
tff(decl_1013,type,
esk94_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1014,type,
esk95_2: ( $i * $i ) > $i ).
tff(decl_1015,type,
esk96_3: ( $i * $i * $i ) > $i ).
tff(decl_1016,type,
esk97_1: $i > $i ).
tff(decl_1017,type,
esk98_1: $i > $i ).
tff(decl_1018,type,
esk99_3: ( $i * $i * $i ) > $i ).
tff(decl_1019,type,
esk100_3: ( $i * $i * $i ) > $i ).
tff(decl_1020,type,
esk101_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1021,type,
esk102_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1022,type,
esk103_3: ( $i * $i * $i ) > $i ).
tff(decl_1023,type,
esk104_3: ( $i * $i * $i ) > $i ).
tff(decl_1024,type,
esk105_3: ( $i * $i * $i ) > $i ).
tff(decl_1025,type,
esk106_2: ( $i * $i ) > $i ).
tff(decl_1026,type,
esk107_2: ( $i * $i ) > $i ).
tff(decl_1027,type,
esk108_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1028,type,
esk109_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1029,type,
esk110_3: ( $i * $i * $i ) > $i ).
tff(decl_1030,type,
esk111_3: ( $i * $i * $i ) > $i ).
tff(decl_1031,type,
esk112_3: ( $i * $i * $i ) > $i ).
tff(decl_1032,type,
esk113_1: $i > $i ).
tff(decl_1033,type,
esk114_1: $i > $i ).
tff(decl_1034,type,
esk115_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1035,type,
esk116_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1036,type,
esk117_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1037,type,
esk118_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1038,type,
esk119_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1039,type,
esk120_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1040,type,
esk121_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1041,type,
esk122_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1042,type,
esk123_2: ( $i * $i ) > $i ).
tff(decl_1043,type,
esk124_2: ( $i * $i ) > $i ).
tff(decl_1044,type,
esk125_2: ( $i * $i ) > $i ).
tff(decl_1045,type,
esk126_2: ( $i * $i ) > $i ).
tff(decl_1046,type,
esk127_2: ( $i * $i ) > $i ).
tff(decl_1047,type,
esk128_2: ( $i * $i ) > $i ).
tff(decl_1048,type,
esk129_2: ( $i * $i ) > $i ).
tff(decl_1049,type,
esk130_2: ( $i * $i ) > $i ).
tff(decl_1050,type,
esk131_2: ( $i * $i ) > $i ).
tff(decl_1051,type,
esk132_1: $i > $i ).
tff(decl_1052,type,
esk133_2: ( $i * $i ) > $i ).
tff(decl_1053,type,
esk134_2: ( $i * $i ) > $i ).
tff(decl_1054,type,
esk135_2: ( $i * $i ) > $i ).
tff(decl_1055,type,
esk136_2: ( $i * $i ) > $i ).
tff(decl_1056,type,
esk137_3: ( $i * $i * $i ) > $i ).
tff(decl_1057,type,
esk138_2: ( $i * $i ) > $i ).
tff(decl_1058,type,
esk139_2: ( $i * $i ) > $i ).
tff(decl_1059,type,
esk140_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1060,type,
esk141_3: ( $i * $i * $i ) > $i ).
tff(decl_1061,type,
esk142_3: ( $i * $i * $i ) > $i ).
tff(decl_1062,type,
esk143_3: ( $i * $i * $i ) > $i ).
tff(decl_1063,type,
esk144_1: $i > $i ).
tff(decl_1064,type,
esk145_1: $i > $i ).
tff(decl_1065,type,
esk146_1: $i > $i ).
tff(decl_1066,type,
esk147_1: $i > $i ).
tff(decl_1067,type,
esk148_1: $i > $i ).
tff(decl_1068,type,
esk149_1: $i > $i ).
tff(decl_1069,type,
esk150_1: $i > $i ).
tff(decl_1070,type,
esk151_1: $i > $i ).
tff(decl_1071,type,
esk152_1: $i > $i ).
tff(decl_1072,type,
esk153_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1073,type,
esk154_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1074,type,
esk155_1: $i > $i ).
tff(decl_1075,type,
esk156_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1076,type,
esk157_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1077,type,
esk158_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1078,type,
esk159_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_1079,type,
esk160_3: ( $i * $i * $i ) > $i ).
tff(decl_1080,type,
esk161_3: ( $i * $i * $i ) > $i ).
tff(decl_1081,type,
esk162_3: ( $i * $i * $i ) > $i ).
tff(decl_1082,type,
esk163_3: ( $i * $i * $i ) > $i ).
tff(decl_1083,type,
esk164_3: ( $i * $i * $i ) > $i ).
tff(decl_1084,type,
esk165_2: ( $i * $i ) > $i ).
tff(decl_1085,type,
esk166_2: ( $i * $i ) > $i ).
tff(decl_1086,type,
esk167_1: $i > $i ).
tff(decl_1087,type,
esk168_1: $i > $i ).
tff(decl_1088,type,
esk169_1: $i > $i ).
tff(decl_1089,type,
esk170_1: $i > $i ).
tff(decl_1090,type,
esk171_1: $i > $i ).
tff(decl_1091,type,
esk172_1: $i > $i ).
tff(decl_1092,type,
esk173_3: ( $i * $i * $i ) > $i ).
tff(decl_1093,type,
esk174_3: ( $i * $i * $i ) > $i ).
tff(decl_1094,type,
esk175_2: ( $i * $i ) > $i ).
tff(decl_1095,type,
esk176_2: ( $i * $i ) > $i ).
tff(decl_1096,type,
esk177_2: ( $i * $i ) > $i ).
tff(decl_1097,type,
esk178_2: ( $i * $i ) > $i ).
tff(decl_1098,type,
esk179_3: ( $i * $i * $i ) > $i ).
tff(decl_1099,type,
esk180_0: $i ).
tff(decl_1100,type,
esk181_1: $i > $i ).
tff(decl_1101,type,
esk182_1: $i > $i ).
tff(decl_1102,type,
esk183_1: $i > $i ).
tff(decl_1103,type,
esk184_1: $i > $i ).
tff(decl_1104,type,
esk185_0: $i ).
tff(decl_1105,type,
esk186_3: ( $i * $i * $i ) > $i ).
tff(decl_1106,type,
esk187_3: ( $i * $i * $i ) > $i ).
tff(decl_1107,type,
esk188_2: ( $i * $i ) > $i ).
tff(decl_1108,type,
esk189_2: ( $i * $i ) > $i ).
tff(decl_1109,type,
esk190_0: $i ).
tff(decl_1110,type,
esk191_0: $i ).
tff(decl_1111,type,
esk192_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1112,type,
esk193_3: ( $i * $i * $i ) > $i ).
tff(decl_1113,type,
esk194_3: ( $i * $i * $i ) > $i ).
tff(decl_1114,type,
esk195_3: ( $i * $i * $i ) > $i ).
tff(decl_1115,type,
esk196_3: ( $i * $i * $i ) > $i ).
tff(decl_1116,type,
esk197_2: ( $i * $i ) > $i ).
tff(decl_1117,type,
esk198_1: $i > $i ).
tff(decl_1118,type,
esk199_2: ( $i * $i ) > $i ).
tff(decl_1119,type,
esk200_2: ( $i * $i ) > $i ).
tff(decl_1120,type,
esk201_1: $i > $i ).
tff(decl_1121,type,
esk202_2: ( $i * $i ) > $i ).
tff(decl_1122,type,
esk203_2: ( $i * $i ) > $i ).
tff(decl_1123,type,
esk204_2: ( $i * $i ) > $i ).
tff(decl_1124,type,
esk205_2: ( $i * $i ) > $i ).
tff(decl_1125,type,
esk206_0: $i ).
tff(decl_1126,type,
esk207_1: $i > $i ).
tff(decl_1127,type,
esk208_1: $i > $i ).
tff(decl_1128,type,
esk209_2: ( $i * $i ) > $i ).
tff(decl_1129,type,
esk210_1: $i > $i ).
tff(decl_1130,type,
esk211_0: $i ).
tff(decl_1131,type,
esk212_0: $i ).
tff(decl_1132,type,
esk213_1: $i > $i ).
tff(decl_1133,type,
esk214_1: $i > $i ).
tff(decl_1134,type,
esk215_1: $i > $i ).
tff(decl_1135,type,
esk216_3: ( $i * $i * $i ) > $i ).
tff(decl_1136,type,
esk217_2: ( $i * $i ) > $i ).
tff(decl_1137,type,
esk218_2: ( $i * $i ) > $i ).
tff(decl_1138,type,
esk219_1: $i > $i ).
tff(decl_1139,type,
esk220_1: $i > $i ).
tff(decl_1140,type,
esk221_1: $i > $i ).
tff(decl_1141,type,
esk222_1: $i > $i ).
tff(decl_1142,type,
esk223_1: $i > $i ).
tff(decl_1143,type,
esk224_1: $i > $i ).
tff(decl_1144,type,
esk225_1: $i > $i ).
tff(decl_1145,type,
esk226_0: $i ).
tff(decl_1146,type,
esk227_1: $i > $i ).
tff(decl_1147,type,
esk228_2: ( $i * $i ) > $i ).
tff(decl_1148,type,
esk229_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1149,type,
esk230_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1150,type,
esk231_0: $i ).
tff(decl_1151,type,
esk232_1: $i > $i ).
tff(decl_1152,type,
esk233_1: $i > $i ).
tff(decl_1153,type,
esk234_2: ( $i * $i ) > $i ).
tff(decl_1154,type,
esk235_2: ( $i * $i ) > $i ).
tff(decl_1155,type,
esk236_2: ( $i * $i ) > $i ).
tff(decl_1156,type,
esk237_3: ( $i * $i * $i ) > $i ).
tff(decl_1157,type,
esk238_2: ( $i * $i ) > $i ).
tff(decl_1158,type,
esk239_3: ( $i * $i * $i ) > $i ).
tff(decl_1159,type,
esk240_3: ( $i * $i * $i ) > $i ).
tff(decl_1160,type,
esk241_3: ( $i * $i * $i ) > $i ).
tff(decl_1161,type,
esk242_3: ( $i * $i * $i ) > $i ).
tff(decl_1162,type,
esk243_3: ( $i * $i * $i ) > $i ).
tff(decl_1163,type,
esk244_3: ( $i * $i * $i ) > $i ).
tff(decl_1164,type,
esk245_3: ( $i * $i * $i ) > $i ).
tff(decl_1165,type,
esk246_3: ( $i * $i * $i ) > $i ).
tff(decl_1166,type,
esk247_3: ( $i * $i * $i ) > $i ).
tff(decl_1167,type,
esk248_3: ( $i * $i * $i ) > $i ).
tff(decl_1168,type,
esk249_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1169,type,
esk250_3: ( $i * $i * $i ) > $i ).
tff(decl_1170,type,
esk251_3: ( $i * $i * $i ) > $i ).
tff(decl_1171,type,
esk252_1: $i > $i ).
tff(decl_1172,type,
esk253_1: $i > $i ).
tff(decl_1173,type,
esk254_2: ( $i * $i ) > $i ).
tff(decl_1174,type,
esk255_2: ( $i * $i ) > $i ).
tff(decl_1175,type,
esk256_2: ( $i * $i ) > $i ).
tff(decl_1176,type,
esk257_0: $i ).
tff(decl_1177,type,
esk258_0: $i ).
tff(decl_1178,type,
esk259_2: ( $i * $i ) > $i ).
tff(decl_1179,type,
esk260_2: ( $i * $i ) > $i ).
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(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',d3_tarski) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',rc2_subset_1) ).
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(rc6_finseq_1,axiom,
? [X1] :
( v1_xboole_0(X1)
& v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1)
& v1_finset_1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',rc6_finseq_1) ).
fof(t106_xboole_1,axiom,
! [X1,X2,X3] :
( r1_tarski(X1,k4_xboole_0(X2,X3))
=> ( r1_tarski(X1,X2)
& r1_xboole_0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t106_xboole_1) ).
fof(t25_finseq_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1)
& v1_finseq_1(X1) )
=> ( k3_finseq_1(X1) = np__0
<=> X1 = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t25_finseq_1) ).
fof(t56_partfun1,axiom,
! [X1,X2] :
( v1_funct_1(k1_xboole_0)
& m2_relset_1(k1_xboole_0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',t56_partfun1) ).
fof(symmetry_r1_xboole_0,axiom,
! [X1,X2] :
( r1_xboole_0(X1,X2)
=> r1_xboole_0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',symmetry_r1_xboole_0) ).
fof(t14_finseq_1,axiom,
( v1_relat_1(k1_xboole_0)
& v1_funct_1(k1_xboole_0)
& v1_finseq_1(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',t14_finseq_1) ).
fof(fc4_relat_1,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_relat_1(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',fc4_relat_1) ).
fof(rc3_finseq_1,axiom,
? [X1] :
( v1_xboole_0(X1)
& v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1)
& v1_finset_1(X1)
& v1_finseq_1(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',rc3_finseq_1) ).
fof(t40_xboole_1,axiom,
! [X1,X2] : k4_xboole_0(k2_xboole_0(X1,X2),X2) = k4_xboole_0(X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t40_xboole_1) ).
fof(t42_xboole_1,axiom,
! [X1,X2,X3] : k4_xboole_0(k2_xboole_0(X1,X2),X3) = k2_xboole_0(k4_xboole_0(X1,X3),k4_xboole_0(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t42_xboole_1) ).
fof(t83_xboole_1,axiom,
! [X1,X2] :
( r1_xboole_0(X1,X2)
<=> k4_xboole_0(X1,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+4.ax',t83_xboole_1) ).
fof(d3_finseq_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1)
& v1_finseq_1(X1) )
=> ! [X2] :
( m2_subset_1(X2,k1_numbers,k5_numbers)
=> ( X2 = k3_finseq_1(X1)
<=> k2_finseq_1(X2) = k1_relat_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',d3_finseq_1) ).
fof(dt_k3_finseq_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1)
& v1_finseq_1(X1) )
=> m2_subset_1(k3_finseq_1(X1),k1_numbers,k5_numbers) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+55.ax',dt_k3_finseq_1) ).
fof(t60_relat_1,axiom,
( k1_relat_1(k1_xboole_0) = k1_xboole_0
& k2_relat_1(k1_xboole_0) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t60_relat_1) ).
fof(commutativity_k2_xboole_0,axiom,
! [X1,X2] : k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k2_xboole_0) ).
fof(t1_boole,axiom,
! [X1] : k2_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+3.ax',t1_boole) ).
fof(t26_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X5),k3_pua2mss1(X3)) = k1_xboole_0
=> k8_relset_2(X1,X2,k4_subset_1(X1,X3,X4),X5) = k8_relset_2(X1,X2,X4,X5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_relset_2) ).
fof(t23_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X4),k3_pua2mss1(X3)) = k1_xboole_0
<=> X3 = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_relset_2) ).
fof(redefinition_k4_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',redefinition_k4_subset_1) ).
fof(c_0_23,plain,
! [X299,X300] :
( ~ r2_hidden(X299,X300)
| ~ v1_xboole_0(X300) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_24,plain,
! [X289,X290,X291,X292,X293] :
( ( ~ r1_tarski(X289,X290)
| ~ r2_hidden(X291,X289)
| r2_hidden(X291,X290) )
& ( r2_hidden(esk26_2(X292,X293),X292)
| r1_tarski(X292,X293) )
& ( ~ r2_hidden(esk26_2(X292,X293),X293)
| r1_tarski(X292,X293) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
cnf(c_0_25,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,plain,
( r2_hidden(esk26_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_27,plain,
! [X196] :
( m1_subset_1(esk16_1(X196),k1_zfmisc_1(X196))
& v1_xboole_0(esk16_1(X196)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(c_0_28,plain,
! [X73] :
( ( ~ v1_xboole_0(X73)
| X73 = k1_xboole_0 )
& ( X73 != k1_xboole_0
| v1_xboole_0(X73) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_xboole_0])]) ).
fof(c_0_29,plain,
( v1_xboole_0(esk191_0)
& v1_relat_1(esk191_0)
& v1_funct_1(esk191_0)
& v2_funct_1(esk191_0)
& v1_finset_1(esk191_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc6_finseq_1])]) ).
fof(c_0_30,plain,
! [X1789,X1790,X1791] :
( ( r1_tarski(X1789,X1790)
| ~ r1_tarski(X1789,k4_xboole_0(X1790,X1791)) )
& ( r1_xboole_0(X1789,X1791)
| ~ r1_tarski(X1789,k4_xboole_0(X1790,X1791)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t106_xboole_1])])]) ).
cnf(c_0_31,plain,
( r1_tarski(X1,X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
v1_xboole_0(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_33,plain,
! [X2845] :
( ( k3_finseq_1(X2845) != np__0
| X2845 = k1_xboole_0
| ~ v1_relat_1(X2845)
| ~ v1_funct_1(X2845)
| ~ v1_finseq_1(X2845) )
& ( X2845 != k1_xboole_0
| k3_finseq_1(X2845) = np__0
| ~ v1_relat_1(X2845)
| ~ v1_funct_1(X2845)
| ~ v1_finseq_1(X2845) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_finseq_1])])]) ).
fof(c_0_34,plain,
! [X113,X114] :
( v1_funct_1(k1_xboole_0)
& m2_relset_1(k1_xboole_0,X113,X114) ),
inference(variable_rename,[status(thm)],[t56_partfun1]) ).
cnf(c_0_35,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
v1_xboole_0(esk191_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_37,plain,
! [X1713,X1714] :
( ~ r1_xboole_0(X1713,X1714)
| r1_xboole_0(X1714,X1713) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r1_xboole_0])]) ).
cnf(c_0_38,plain,
( r1_xboole_0(X1,X2)
| ~ r1_tarski(X1,k4_xboole_0(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
r1_tarski(esk16_1(X1),X2),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_40,plain,
( k3_finseq_1(X1) = np__0
| X1 != k1_xboole_0
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_finseq_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
v1_finseq_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[t14_finseq_1]) ).
cnf(c_0_42,plain,
v1_funct_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,plain,
v1_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc4_relat_1]) ).
cnf(c_0_44,plain,
k1_xboole_0 = esk191_0,
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_45,plain,
( v1_xboole_0(esk190_0)
& v1_relat_1(esk190_0)
& v1_funct_1(esk190_0)
& v2_funct_1(esk190_0)
& v1_finset_1(esk190_0)
& v1_finseq_1(esk190_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_finseq_1])]) ).
fof(c_0_46,plain,
! [X799,X800] : k4_xboole_0(k2_xboole_0(X799,X800),X800) = k4_xboole_0(X799,X800),
inference(variable_rename,[status(thm)],[t40_xboole_1]) ).
fof(c_0_47,plain,
! [X804,X805,X806] : k4_xboole_0(k2_xboole_0(X804,X805),X806) = k2_xboole_0(k4_xboole_0(X804,X806),k4_xboole_0(X805,X806)),
inference(variable_rename,[status(thm)],[t42_xboole_1]) ).
fof(c_0_48,plain,
! [X1769,X1770] :
( ( ~ r1_xboole_0(X1769,X1770)
| k4_xboole_0(X1769,X1770) = X1769 )
& ( k4_xboole_0(X1769,X1770) != X1769
| r1_xboole_0(X1769,X1770) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t83_xboole_1])]) ).
cnf(c_0_49,plain,
( r1_xboole_0(X2,X1)
| ~ r1_xboole_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_50,plain,
r1_xboole_0(esk16_1(X1),X2),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_51,plain,
! [X2397,X2398] :
( ( X2398 != k3_finseq_1(X2397)
| k2_finseq_1(X2398) = k1_relat_1(X2397)
| ~ m2_subset_1(X2398,k1_numbers,k5_numbers)
| ~ v1_relat_1(X2397)
| ~ v1_funct_1(X2397)
| ~ v1_finseq_1(X2397) )
& ( k2_finseq_1(X2398) != k1_relat_1(X2397)
| X2398 = k3_finseq_1(X2397)
| ~ m2_subset_1(X2398,k1_numbers,k5_numbers)
| ~ v1_relat_1(X2397)
| ~ v1_funct_1(X2397)
| ~ v1_finseq_1(X2397) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_finseq_1])])])]) ).
fof(c_0_52,plain,
! [X2838] :
( ~ v1_relat_1(X2838)
| ~ v1_funct_1(X2838)
| ~ v1_finseq_1(X2838)
| m2_subset_1(k3_finseq_1(X2838),k1_numbers,k5_numbers) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_finseq_1])]) ).
cnf(c_0_53,plain,
k3_finseq_1(k1_xboole_0) = np__0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_40]),c_0_41]),c_0_42]),c_0_43])]) ).
cnf(c_0_54,plain,
( X1 = esk191_0
| ~ v1_xboole_0(X1) ),
inference(rw,[status(thm)],[c_0_35,c_0_44]) ).
cnf(c_0_55,plain,
v1_xboole_0(esk190_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_56,plain,
k1_relat_1(k1_xboole_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[t60_relat_1]) ).
cnf(c_0_57,plain,
k4_xboole_0(k2_xboole_0(X1,X2),X2) = k4_xboole_0(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
k4_xboole_0(k2_xboole_0(X1,X2),X3) = k2_xboole_0(k4_xboole_0(X1,X3),k4_xboole_0(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_59,plain,
( k4_xboole_0(X1,X2) = X1
| ~ r1_xboole_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_60,plain,
r1_xboole_0(X1,esk16_1(X2)),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_61,plain,
( k2_finseq_1(X1) = k1_relat_1(X2)
| X1 != k3_finseq_1(X2)
| ~ m2_subset_1(X1,k1_numbers,k5_numbers)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_finseq_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,plain,
( m2_subset_1(k3_finseq_1(X1),k1_numbers,k5_numbers)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_finseq_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_63,plain,
k3_finseq_1(esk191_0) = np__0,
inference(rw,[status(thm)],[c_0_53,c_0_44]) ).
cnf(c_0_64,plain,
esk191_0 = esk190_0,
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,plain,
k1_relat_1(esk191_0) = esk191_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_44]),c_0_44]) ).
fof(c_0_66,plain,
! [X737,X738] : k2_xboole_0(X737,X738) = k2_xboole_0(X738,X737),
inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0]) ).
cnf(c_0_67,plain,
k2_xboole_0(k4_xboole_0(X1,X2),k4_xboole_0(X2,X2)) = k4_xboole_0(X1,X2),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,plain,
k4_xboole_0(X1,esk16_1(X2)) = X1,
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_69,plain,
! [X740] : k2_xboole_0(X740,k1_xboole_0) = X740,
inference(variable_rename,[status(thm)],[t1_boole]) ).
cnf(c_0_70,plain,
( k2_finseq_1(k3_finseq_1(X1)) = k1_relat_1(X1)
| ~ v1_finseq_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_61]),c_0_62]) ).
cnf(c_0_71,plain,
k3_finseq_1(esk190_0) = np__0,
inference(rw,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,plain,
k1_relat_1(esk190_0) = esk190_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_64]),c_0_64]) ).
cnf(c_0_73,plain,
v1_finseq_1(esk190_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_74,plain,
v1_funct_1(esk190_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_75,plain,
v1_relat_1(esk190_0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_76,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X5),k3_pua2mss1(X3)) = k1_xboole_0
=> k8_relset_2(X1,X2,k4_subset_1(X1,X3,X4),X5) = k8_relset_2(X1,X2,X4,X5) ) ) ) ),
inference(assume_negation,[status(cth)],[t26_relset_2]) ).
cnf(c_0_77,plain,
k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_78,plain,
k2_xboole_0(X1,esk16_1(X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_68]) ).
cnf(c_0_79,plain,
k2_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_80,plain,
esk190_0 = k2_finseq_1(np__0),
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_70,c_0_71]),c_0_72]),c_0_73]),c_0_74]),c_0_75])]) ).
fof(c_0_81,plain,
! [X151,X152,X153,X154] :
( ( k4_relset_2(k1_zfmisc_1(X151),X152,k6_relset_2(X152,X151,X154),k3_pua2mss1(X153)) != k1_xboole_0
| X153 = k1_xboole_0
| ~ m1_subset_1(X154,k1_zfmisc_1(k2_zfmisc_1(X151,X152)))
| ~ m1_subset_1(X153,k1_zfmisc_1(X151)) )
& ( X153 != k1_xboole_0
| k4_relset_2(k1_zfmisc_1(X151),X152,k6_relset_2(X152,X151,X154),k3_pua2mss1(X153)) = k1_xboole_0
| ~ m1_subset_1(X154,k1_zfmisc_1(k2_zfmisc_1(X151,X152)))
| ~ m1_subset_1(X153,k1_zfmisc_1(X151)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t23_relset_2])])])]) ).
fof(c_0_82,negated_conjecture,
( m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0))
& m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0))
& m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
& k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0
& k8_relset_2(esk1_0,esk2_0,k4_subset_1(esk1_0,esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
cnf(c_0_83,plain,
k2_xboole_0(esk16_1(X1),X2) = X2,
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,plain,
k2_xboole_0(X1,k2_finseq_1(np__0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_44]),c_0_64]),c_0_80]) ).
fof(c_0_85,plain,
! [X59,X60,X61] :
( ~ m1_subset_1(X60,k1_zfmisc_1(X59))
| ~ m1_subset_1(X61,k1_zfmisc_1(X59))
| k4_subset_1(X59,X60,X61) = k2_xboole_0(X60,X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_subset_1])]) ).
cnf(c_0_86,plain,
( X4 = k1_xboole_0
| k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X3),k3_pua2mss1(X4)) != k1_xboole_0
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_87,negated_conjecture,
k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_88,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_89,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_90,plain,
esk16_1(X1) = k2_finseq_1(np__0),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_91,negated_conjecture,
k8_relset_2(esk1_0,esk2_0,k4_subset_1(esk1_0,esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_92,plain,
( k4_subset_1(X2,X1,X3) = k2_xboole_0(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_93,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_94,negated_conjecture,
esk3_0 = k1_xboole_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_89])]) ).
cnf(c_0_95,plain,
k2_xboole_0(k2_finseq_1(np__0),X1) = X1,
inference(rw,[status(thm)],[c_0_83,c_0_90]) ).
cnf(c_0_96,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_89])]),c_0_94]),c_0_44]),c_0_64]),c_0_80]),c_0_95])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU427+2 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 00:13:02 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 80.61/80.65 % Version : CSE_E---1.5
% 80.61/80.65 % Problem : theBenchmark.p
% 80.61/80.65 % Proof found
% 80.61/80.65 % SZS status Theorem for theBenchmark.p
% 80.61/80.65 % SZS output start Proof
% See solution above
% 80.68/80.69 % Total time : 79.950000 s
% 80.68/80.69 % SZS output end Proof
% 80.68/80.69 % Total time : 80.091000 s
%------------------------------------------------------------------------------