TSTP Solution File: GRP618+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP618+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n012.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 00:21:50 EDT 2023
% Result : Theorem 124.04s 124.18s
% Output : CNFRefutation 124.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1018
% Syntax : Number of formulae : 1048 ( 9 unt;1014 typ; 0 def)
% Number of atoms : 230 ( 0 equ)
% Maximal formula atoms : 32 ( 6 avg)
% Number of connectives : 305 ( 109 ~; 113 |; 41 &)
% ( 2 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1462 ( 745 >; 717 *; 0 +; 0 <<)
% Number of predicates : 246 ( 245 usr; 1 prp; 0-4 aty)
% Number of functors : 769 ( 769 usr; 269 con; 0-8 aty)
% Number of variables : 62 ( 0 sgn; 41 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_23,type,
k1_tarski: $i > $i ).
tff(decl_24,type,
k2_tarski: ( $i * $i ) > $i ).
tff(decl_25,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_26,type,
k3_tarski: $i > $i ).
tff(decl_27,type,
k4_tarski: ( $i * $i ) > $i ).
tff(decl_28,type,
r2_tarski: ( $i * $i ) > $o ).
tff(decl_29,type,
p1_s1_tarski: ( $i * $i ) > $o ).
tff(decl_30,type,
f1_s1_tarski: $i ).
tff(decl_31,type,
k1_xboole_0: $i ).
tff(decl_32,type,
v1_xboole_0: $i > $o ).
tff(decl_33,type,
k2_xboole_0: ( $i * $i ) > $i ).
tff(decl_34,type,
k3_xboole_0: ( $i * $i ) > $i ).
tff(decl_35,type,
k4_xboole_0: ( $i * $i ) > $i ).
tff(decl_36,type,
k5_xboole_0: ( $i * $i ) > $i ).
tff(decl_37,type,
r1_xboole_0: ( $i * $i ) > $o ).
tff(decl_38,type,
r2_xboole_0: ( $i * $i ) > $o ).
tff(decl_39,type,
r3_xboole_0: ( $i * $i ) > $o ).
tff(decl_40,type,
f1_s1_xboole_0: $i ).
tff(decl_41,type,
p1_s1_xboole_0: $i > $o ).
tff(decl_42,type,
f1_s2_xboole_0: $i ).
tff(decl_43,type,
p1_s2_xboole_0: $i > $o ).
tff(decl_44,type,
f2_s2_xboole_0: $i ).
tff(decl_45,type,
p1_s3_xboole_0: $i > $o ).
tff(decl_46,type,
k1_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,
v1_relat_1: $i > $o ).
tff(decl_79,type,
k1_relat_1: $i > $i ).
tff(decl_80,type,
k2_relat_1: $i > $i ).
tff(decl_81,type,
k5_relat_1: ( $i * $i ) > $i ).
tff(decl_82,type,
k4_relat_1: $i > $i ).
tff(decl_83,type,
v3_relat_1: $i > $o ).
tff(decl_84,type,
k7_relat_1: ( $i * $i ) > $i ).
tff(decl_85,type,
k3_relat_1: $i > $i ).
tff(decl_86,type,
v2_relat_1: $i > $o ).
tff(decl_87,type,
k6_relat_1: $i > $i ).
tff(decl_88,type,
k8_relat_1: ( $i * $i ) > $i ).
tff(decl_89,type,
k9_relat_1: ( $i * $i ) > $i ).
tff(decl_90,type,
k10_relat_1: ( $i * $i ) > $i ).
tff(decl_91,type,
f1_s1_relat_1: $i ).
tff(decl_92,type,
f2_s1_relat_1: $i ).
tff(decl_93,type,
p1_s1_relat_1: ( $i * $i ) > $o ).
tff(decl_94,type,
v1_funct_1: $i > $o ).
tff(decl_95,type,
v2_funct_1: $i > $o ).
tff(decl_96,type,
v1_setfam_1: $i > $o ).
tff(decl_97,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_98,type,
k2_funct_1: $i > $i ).
tff(decl_99,type,
p1_s1_funct_1: ( $i * $i ) > $o ).
tff(decl_100,type,
f1_s1_funct_1: $i ).
tff(decl_101,type,
f1_s2_funct_1: $i ).
tff(decl_102,type,
p1_s2_funct_1: ( $i * $i ) > $o ).
tff(decl_103,type,
f1_s3_funct_1: $i ).
tff(decl_104,type,
f2_s3_funct_1: $i > $i ).
tff(decl_105,type,
f1_s4_funct_1: $i ).
tff(decl_106,type,
f2_s4_funct_1: $i > $i ).
tff(decl_107,type,
r1_relat_2: ( $i * $i ) > $o ).
tff(decl_108,type,
r2_relat_2: ( $i * $i ) > $o ).
tff(decl_109,type,
r3_relat_2: ( $i * $i ) > $o ).
tff(decl_110,type,
r4_relat_2: ( $i * $i ) > $o ).
tff(decl_111,type,
r5_relat_2: ( $i * $i ) > $o ).
tff(decl_112,type,
r6_relat_2: ( $i * $i ) > $o ).
tff(decl_113,type,
r7_relat_2: ( $i * $i ) > $o ).
tff(decl_114,type,
r8_relat_2: ( $i * $i ) > $o ).
tff(decl_115,type,
v1_relat_2: $i > $o ).
tff(decl_116,type,
v2_relat_2: $i > $o ).
tff(decl_117,type,
v3_relat_2: $i > $o ).
tff(decl_118,type,
v4_relat_2: $i > $o ).
tff(decl_119,type,
v5_relat_2: $i > $o ).
tff(decl_120,type,
v6_relat_2: $i > $o ).
tff(decl_121,type,
v7_relat_2: $i > $o ).
tff(decl_122,type,
v8_relat_2: $i > $o ).
tff(decl_123,type,
k1_ordinal1: $i > $i ).
tff(decl_124,type,
v3_ordinal1: $i > $o ).
tff(decl_125,type,
v1_ordinal1: $i > $o ).
tff(decl_126,type,
v2_ordinal1: $i > $o ).
tff(decl_127,type,
v5_ordinal1: $i > $o ).
tff(decl_128,type,
r1_ordinal1: ( $i * $i ) > $o ).
tff(decl_129,type,
v4_ordinal1: $i > $o ).
tff(decl_130,type,
m1_ordinal1: ( $i * $i ) > $o ).
tff(decl_131,type,
k2_ordinal1: ( $i * $i ) > $i ).
tff(decl_132,type,
v6_ordinal1: $i > $o ).
tff(decl_133,type,
p1_s1_ordinal1: $i > $o ).
tff(decl_134,type,
p1_s2_ordinal1: $i > $o ).
tff(decl_135,type,
f3_s3_ordinal1: $i ).
tff(decl_136,type,
f1_s3_ordinal1: $i ).
tff(decl_137,type,
f2_s3_ordinal1: $i > $i ).
tff(decl_138,type,
f4_s3_ordinal1: $i ).
tff(decl_139,type,
f1_s4_ordinal1: $i ).
tff(decl_140,type,
f2_s4_ordinal1: $i > $i ).
tff(decl_141,type,
f2_s5_ordinal1: $i > $i ).
tff(decl_142,type,
f3_s5_ordinal1: $i > $i ).
tff(decl_143,type,
f1_s5_ordinal1: $i ).
tff(decl_144,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_145,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_146,type,
k4_relset_1: ( $i * $i * $i ) > $i ).
tff(decl_147,type,
k5_relset_1: ( $i * $i * $i ) > $i ).
tff(decl_148,type,
k6_relset_1: ( $i * $i * $i ) > $i ).
tff(decl_149,type,
k8_relset_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_150,type,
k9_relset_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_151,type,
k10_relset_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_152,type,
k11_relset_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_153,type,
k7_relset_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_154,type,
f1_s1_relset_1: $i ).
tff(decl_155,type,
f2_s1_relset_1: $i ).
tff(decl_156,type,
p1_s1_relset_1: ( $i * $i ) > $o ).
tff(decl_157,type,
f1_s2_relset_1: $i ).
tff(decl_158,type,
f2_s2_relset_1: $i ).
tff(decl_159,type,
p1_s2_relset_1: ( $i * $i ) > $o ).
tff(decl_160,type,
k1_relset_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_161,type,
k2_relset_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_162,type,
k3_relset_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_163,type,
k4_partfun1: ( $i * $i ) > $i ).
tff(decl_164,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_165,type,
k3_partfun1: ( $i * $i * $i ) > $i ).
tff(decl_166,type,
k1_partfun1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_167,type,
k2_partfun1: ( $i * $i * $i * $i ) > $i ).
tff(decl_168,type,
r1_partfun1: ( $i * $i ) > $o ).
tff(decl_169,type,
k5_partfun1: ( $i * $i * $i ) > $i ).
tff(decl_170,type,
f1_s1_partfun1: $i ).
tff(decl_171,type,
p1_s1_partfun1: $i > $o ).
tff(decl_172,type,
f2_s1_partfun1: $i > $i ).
tff(decl_173,type,
f3_s1_partfun1: $i > $i ).
tff(decl_174,type,
f1_s2_partfun1: $i ).
tff(decl_175,type,
p1_s2_partfun1: ( $i * $i ) > $o ).
tff(decl_176,type,
f2_s2_partfun1: $i ).
tff(decl_177,type,
p1_s3_partfun1: $i > $o ).
tff(decl_178,type,
f3_s3_partfun1: $i > $i ).
tff(decl_179,type,
f2_s3_partfun1: $i ).
tff(decl_180,type,
f1_s3_partfun1: $i ).
tff(decl_181,type,
f1_s4_partfun1: $i ).
tff(decl_182,type,
f2_s4_partfun1: $i ).
tff(decl_183,type,
p1_s4_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_184,type,
f3_s4_partfun1: $i ).
tff(decl_185,type,
p1_s5_partfun1: ( $i * $i ) > $o ).
tff(decl_186,type,
f4_s5_partfun1: ( $i * $i ) > $i ).
tff(decl_187,type,
f3_s5_partfun1: $i ).
tff(decl_188,type,
f1_s5_partfun1: $i ).
tff(decl_189,type,
f2_s5_partfun1: $i ).
tff(decl_190,type,
k6_partfun1: $i > $i ).
tff(decl_191,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_192,type,
k1_funct_2: ( $i * $i ) > $i ).
tff(decl_193,type,
v3_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_194,type,
v2_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_195,type,
k2_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_196,type,
k3_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_197,type,
k4_funct_2: ( $i * $i * $i ) > $i ).
tff(decl_198,type,
k5_funct_2: ( $i * $i * $i ) > $i ).
tff(decl_199,type,
k6_funct_2: ( $i * $i ) > $i ).
tff(decl_200,type,
k9_funct_2: ( $i * $i * $i ) > $i ).
tff(decl_201,type,
f1_s1_funct_2: $i ).
tff(decl_202,type,
f2_s1_funct_2: $i ).
tff(decl_203,type,
p1_s1_funct_2: ( $i * $i ) > $o ).
tff(decl_204,type,
f1_s2_funct_2: $i ).
tff(decl_205,type,
f3_s2_funct_2: $i > $i ).
tff(decl_206,type,
f2_s2_funct_2: $i ).
tff(decl_207,type,
f1_s3_funct_2: $i ).
tff(decl_208,type,
f2_s3_funct_2: $i ).
tff(decl_209,type,
p1_s3_funct_2: ( $i * $i ) > $o ).
tff(decl_210,type,
k8_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_211,type,
f1_s4_funct_2: $i ).
tff(decl_212,type,
f2_s4_funct_2: $i ).
tff(decl_213,type,
f3_s4_funct_2: $i > $i ).
tff(decl_214,type,
f1_s5_funct_2: $i ).
tff(decl_215,type,
f2_s5_funct_2: $i ).
tff(decl_216,type,
f3_s5_funct_2: $i ).
tff(decl_217,type,
p1_s5_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_218,type,
f1_s6_funct_2: $i ).
tff(decl_219,type,
f2_s6_funct_2: $i ).
tff(decl_220,type,
f4_s6_funct_2: ( $i * $i ) > $i ).
tff(decl_221,type,
f3_s6_funct_2: $i ).
tff(decl_222,type,
f1_s7_funct_2: $i ).
tff(decl_223,type,
f2_s7_funct_2: $i ).
tff(decl_224,type,
f3_s7_funct_2: $i ).
tff(decl_225,type,
p1_s7_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_226,type,
f1_s8_funct_2: $i ).
tff(decl_227,type,
f2_s8_funct_2: $i ).
tff(decl_228,type,
f3_s8_funct_2: $i ).
tff(decl_229,type,
f4_s8_funct_2: ( $i * $i ) > $i ).
tff(decl_230,type,
f1_s9_funct_2: $i ).
tff(decl_231,type,
p1_s9_funct_2: $i > $o ).
tff(decl_232,type,
f3_s9_funct_2: $i > $i ).
tff(decl_233,type,
f2_s9_funct_2: $i ).
tff(decl_234,type,
f4_s9_funct_2: $i > $i ).
tff(decl_235,type,
f1_s10_funct_2: $i ).
tff(decl_236,type,
f2_s10_funct_2: $i ).
tff(decl_237,type,
f3_s10_funct_2: $i ).
tff(decl_238,type,
f4_s10_funct_2: $i ).
tff(decl_239,type,
f5_s10_funct_2: $i > $i ).
tff(decl_240,type,
f3_s11_funct_2: $i ).
tff(decl_241,type,
f4_s11_funct_2: $i ).
tff(decl_242,type,
f1_s11_funct_2: $i ).
tff(decl_243,type,
f2_s11_funct_2: $i ).
tff(decl_244,type,
f5_s11_funct_2: $i ).
tff(decl_245,type,
f6_s11_funct_2: $i ).
tff(decl_246,type,
f7_s11_funct_2: $i > $i ).
tff(decl_247,type,
f1_s12_funct_2: $i ).
tff(decl_248,type,
f3_s12_funct_2: $i > $i ).
tff(decl_249,type,
f2_s12_funct_2: $i ).
tff(decl_250,type,
f1_s13_funct_2: $i ).
tff(decl_251,type,
f3_s13_funct_2: $i > $i ).
tff(decl_252,type,
f2_s13_funct_2: $i ).
tff(decl_253,type,
f1_s14_funct_2: $i ).
tff(decl_254,type,
f2_s14_funct_2: $i ).
tff(decl_255,type,
p1_s14_funct_2: ( $i * $i ) > $o ).
tff(decl_256,type,
k7_funct_2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_257,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_258,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_259,type,
k1_binop_1: ( $i * $i * $i ) > $i ).
tff(decl_260,type,
k2_binop_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_261,type,
v3_binop_1: ( $i * $i ) > $o ).
tff(decl_262,type,
r1_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_263,type,
r2_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_264,type,
r3_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_265,type,
k3_binop_1: ( $i * $i ) > $i ).
tff(decl_266,type,
r4_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_267,type,
r5_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_268,type,
r6_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_269,type,
r7_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_270,type,
f1_s1_binop_1: $i ).
tff(decl_271,type,
p1_s1_binop_1: ( $i * $i * $i ) > $o ).
tff(decl_272,type,
f1_s2_binop_1: $i ).
tff(decl_273,type,
f2_s2_binop_1: ( $i * $i ) > $i ).
tff(decl_274,type,
k2_funcop_1: ( $i * $i ) > $i ).
tff(decl_275,type,
k3_funcop_1: ( $i * $i * $i ) > $i ).
tff(decl_276,type,
k4_funcop_1: ( $i * $i * $i ) > $i ).
tff(decl_277,type,
k5_funcop_1: ( $i * $i * $i ) > $i ).
tff(decl_278,type,
v1_funcop_1: $i > $o ).
tff(decl_279,type,
k12_funct_3: $i > $i ).
tff(decl_280,type,
k13_funct_3: ( $i * $i ) > $i ).
tff(decl_281,type,
k1_funcop_1: $i > $i ).
tff(decl_282,type,
k6_funcop_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_283,type,
k7_funcop_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_284,type,
k8_funcop_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_285,type,
k2_mcart_1: $i > $i ).
tff(decl_286,type,
k1_mcart_1: $i > $i ).
tff(decl_287,type,
k10_funcop_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_288,type,
k9_funcop_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_289,type,
k5_ordinal2: $i ).
tff(decl_290,type,
v1_ordinal2: $i > $o ).
tff(decl_291,type,
k1_ordinal2: $i > $i ).
tff(decl_292,type,
k2_ordinal2: $i > $i ).
tff(decl_293,type,
k3_ordinal2: $i > $i ).
tff(decl_294,type,
k1_setfam_1: $i > $i ).
tff(decl_295,type,
k4_ordinal2: $i ).
tff(decl_296,type,
k6_ordinal2: $i > $i ).
tff(decl_297,type,
k7_ordinal2: $i > $i ).
tff(decl_298,type,
k8_ordinal2: $i > $i ).
tff(decl_299,type,
k9_ordinal2: $i > $i ).
tff(decl_300,type,
k10_ordinal2: $i > $i ).
tff(decl_301,type,
k11_ordinal2: $i > $i ).
tff(decl_302,type,
r1_ordinal2: ( $i * $i ) > $o ).
tff(decl_303,type,
k12_ordinal2: $i > $i ).
tff(decl_304,type,
k13_ordinal2: ( $i * $i ) > $i ).
tff(decl_305,type,
v2_ordinal2: $i > $o ).
tff(decl_306,type,
v3_ordinal2: $i > $o ).
tff(decl_307,type,
k14_ordinal2: ( $i * $i ) > $i ).
tff(decl_308,type,
k15_ordinal2: ( $i * $i ) > $i ).
tff(decl_309,type,
k16_ordinal2: ( $i * $i ) > $i ).
tff(decl_310,type,
v4_ordinal2: $i > $o ).
tff(decl_311,type,
p1_s1_ordinal2: $i > $o ).
tff(decl_312,type,
f1_s2_ordinal2: $i ).
tff(decl_313,type,
f2_s2_ordinal2: $i > $i ).
tff(decl_314,type,
f1_s3_ordinal2: $i ).
tff(decl_315,type,
f2_s3_ordinal2: $i > $i ).
tff(decl_316,type,
f5_s4_ordinal2: $i ).
tff(decl_317,type,
f1_s4_ordinal2: $i ).
tff(decl_318,type,
f2_s4_ordinal2: $i ).
tff(decl_319,type,
f3_s4_ordinal2: ( $i * $i ) > $i ).
tff(decl_320,type,
f4_s4_ordinal2: ( $i * $i ) > $i ).
tff(decl_321,type,
f6_s4_ordinal2: $i ).
tff(decl_322,type,
f1_s5_ordinal2: $i ).
tff(decl_323,type,
f2_s5_ordinal2: $i ).
tff(decl_324,type,
f3_s5_ordinal2: ( $i * $i ) > $i ).
tff(decl_325,type,
f4_s5_ordinal2: ( $i * $i ) > $i ).
tff(decl_326,type,
f2_s6_ordinal2: $i > $i ).
tff(decl_327,type,
f4_s6_ordinal2: $i ).
tff(decl_328,type,
f5_s6_ordinal2: ( $i * $i ) > $i ).
tff(decl_329,type,
f6_s6_ordinal2: ( $i * $i ) > $i ).
tff(decl_330,type,
f1_s6_ordinal2: $i ).
tff(decl_331,type,
f3_s6_ordinal2: $i ).
tff(decl_332,type,
f1_s7_ordinal2: $i ).
tff(decl_333,type,
f2_s7_ordinal2: $i ).
tff(decl_334,type,
f3_s7_ordinal2: ( $i * $i ) > $i ).
tff(decl_335,type,
f4_s7_ordinal2: ( $i * $i ) > $i ).
tff(decl_336,type,
f1_s8_ordinal2: $i > $i ).
tff(decl_337,type,
f2_s8_ordinal2: $i ).
tff(decl_338,type,
f3_s8_ordinal2: ( $i * $i ) > $i ).
tff(decl_339,type,
f4_s8_ordinal2: ( $i * $i ) > $i ).
tff(decl_340,type,
f4_s9_ordinal2: $i > $i ).
tff(decl_341,type,
f1_s9_ordinal2: $i ).
tff(decl_342,type,
f2_s9_ordinal2: ( $i * $i ) > $i ).
tff(decl_343,type,
f3_s9_ordinal2: ( $i * $i ) > $i ).
tff(decl_344,type,
f3_s10_ordinal2: $i > $i ).
tff(decl_345,type,
f4_s10_ordinal2: $i ).
tff(decl_346,type,
f5_s10_ordinal2: ( $i * $i ) > $i ).
tff(decl_347,type,
f6_s10_ordinal2: ( $i * $i ) > $i ).
tff(decl_348,type,
f2_s10_ordinal2: $i ).
tff(decl_349,type,
f1_s10_ordinal2: $i ).
tff(decl_350,type,
f1_s11_ordinal2: $i ).
tff(decl_351,type,
f2_s11_ordinal2: $i ).
tff(decl_352,type,
f3_s11_ordinal2: ( $i * $i ) > $i ).
tff(decl_353,type,
f4_s11_ordinal2: ( $i * $i ) > $i ).
tff(decl_354,type,
f2_s12_ordinal2: $i > $i ).
tff(decl_355,type,
f4_s12_ordinal2: $i ).
tff(decl_356,type,
f5_s12_ordinal2: ( $i * $i ) > $i ).
tff(decl_357,type,
f6_s12_ordinal2: ( $i * $i ) > $i ).
tff(decl_358,type,
f1_s12_ordinal2: $i ).
tff(decl_359,type,
f3_s12_ordinal2: $i ).
tff(decl_360,type,
f1_s13_ordinal2: $i ).
tff(decl_361,type,
f2_s13_ordinal2: $i ).
tff(decl_362,type,
f3_s13_ordinal2: ( $i * $i ) > $i ).
tff(decl_363,type,
f4_s13_ordinal2: ( $i * $i ) > $i ).
tff(decl_364,type,
f1_s14_ordinal2: $i > $i ).
tff(decl_365,type,
f2_s14_ordinal2: $i ).
tff(decl_366,type,
f3_s14_ordinal2: ( $i * $i ) > $i ).
tff(decl_367,type,
f4_s14_ordinal2: ( $i * $i ) > $i ).
tff(decl_368,type,
f4_s15_ordinal2: $i > $i ).
tff(decl_369,type,
f1_s15_ordinal2: $i ).
tff(decl_370,type,
f2_s15_ordinal2: ( $i * $i ) > $i ).
tff(decl_371,type,
f3_s15_ordinal2: ( $i * $i ) > $i ).
tff(decl_372,type,
f3_s16_ordinal2: $i > $i ).
tff(decl_373,type,
f4_s16_ordinal2: $i ).
tff(decl_374,type,
f5_s16_ordinal2: ( $i * $i ) > $i ).
tff(decl_375,type,
f6_s16_ordinal2: ( $i * $i ) > $i ).
tff(decl_376,type,
f2_s16_ordinal2: $i ).
tff(decl_377,type,
f1_s16_ordinal2: $i ).
tff(decl_378,type,
v1_finset_1: $i > $o ).
tff(decl_379,type,
f1_s1_finset_1: $i ).
tff(decl_380,type,
p1_s1_finset_1: $i > $o ).
tff(decl_381,type,
f2_s1_finset_1: $i > $i ).
tff(decl_382,type,
f3_s1_finset_1: $i > $i ).
tff(decl_383,type,
f1_s2_finset_1: $i ).
tff(decl_384,type,
p1_s2_finset_1: $i > $o ).
tff(decl_385,type,
v4_finsub_1: $i > $o ).
tff(decl_386,type,
v1_finsub_1: $i > $o ).
tff(decl_387,type,
v3_finsub_1: $i > $o ).
tff(decl_388,type,
v2_finsub_1: $i > $o ).
tff(decl_389,type,
k5_finsub_1: $i > $i ).
tff(decl_390,type,
k1_finsub_1: ( $i * $i * $i ) > $i ).
tff(decl_391,type,
k2_finsub_1: ( $i * $i * $i ) > $i ).
tff(decl_392,type,
k3_finsub_1: ( $i * $i * $i ) > $i ).
tff(decl_393,type,
k4_finsub_1: ( $i * $i * $i ) > $i ).
tff(decl_394,type,
v1_fraenkel: $i > $o ).
tff(decl_395,type,
m1_fraenkel: ( $i * $i * $i ) > $o ).
tff(decl_396,type,
k2_setwiseo: ( $i * $i ) > $i ).
tff(decl_397,type,
k1_fraenkel: ( $i * $i ) > $i ).
tff(decl_398,type,
m2_fraenkel: ( $i * $i * $i * $i ) > $o ).
tff(decl_399,type,
f1_s23_fraenkel: $i ).
tff(decl_400,type,
p1_s23_fraenkel: ( $i * $i ) > $o ).
tff(decl_401,type,
f2_s23_fraenkel: $i ).
tff(decl_402,type,
f1_s24_fraenkel: $i ).
tff(decl_403,type,
f2_s24_fraenkel: $i ).
tff(decl_404,type,
f3_s24_fraenkel: $i ).
tff(decl_405,type,
f4_s24_fraenkel: $i > $i ).
tff(decl_406,type,
p1_s24_fraenkel: ( $i * $i ) > $o ).
tff(decl_407,type,
f1_s26_fraenkel: $i ).
tff(decl_408,type,
f3_s26_fraenkel: $i ).
tff(decl_409,type,
f2_s26_fraenkel: $i ).
tff(decl_410,type,
p1_s26_fraenkel: ( $i * $i ) > $o ).
tff(decl_411,type,
f1_s27_fraenkel: $i ).
tff(decl_412,type,
f3_s27_fraenkel: $i ).
tff(decl_413,type,
f2_s27_fraenkel: $i ).
tff(decl_414,type,
p1_s27_fraenkel: ( $i * $i ) > $o ).
tff(decl_415,type,
f1_s1_fraenkel: $i ).
tff(decl_416,type,
p1_s1_fraenkel: $i > $o ).
tff(decl_417,type,
p2_s1_fraenkel: $i > $o ).
tff(decl_418,type,
a_0_0_fraenkel: $i ).
tff(decl_419,type,
a_0_1_fraenkel: $i ).
tff(decl_420,type,
f1_s2_fraenkel: $i ).
tff(decl_421,type,
f2_s2_fraenkel: $i ).
tff(decl_422,type,
p1_s2_fraenkel: ( $i * $i ) > $o ).
tff(decl_423,type,
p2_s2_fraenkel: ( $i * $i ) > $o ).
tff(decl_424,type,
a_0_2_fraenkel: $i ).
tff(decl_425,type,
a_0_3_fraenkel: $i ).
tff(decl_426,type,
f1_s3_fraenkel: $i ).
tff(decl_427,type,
p1_s3_fraenkel: $i > $o ).
tff(decl_428,type,
p2_s3_fraenkel: $i > $o ).
tff(decl_429,type,
a_0_4_fraenkel: $i ).
tff(decl_430,type,
a_0_5_fraenkel: $i ).
tff(decl_431,type,
f1_s4_fraenkel: $i ).
tff(decl_432,type,
f2_s4_fraenkel: $i ).
tff(decl_433,type,
p1_s4_fraenkel: ( $i * $i ) > $o ).
tff(decl_434,type,
p2_s4_fraenkel: ( $i * $i ) > $o ).
tff(decl_435,type,
a_0_6_fraenkel: $i ).
tff(decl_436,type,
a_0_7_fraenkel: $i ).
tff(decl_437,type,
f1_s5_fraenkel: $i ).
tff(decl_438,type,
f2_s5_fraenkel: $i > $i ).
tff(decl_439,type,
f3_s5_fraenkel: $i > $i ).
tff(decl_440,type,
a_0_8_fraenkel: $i ).
tff(decl_441,type,
a_0_9_fraenkel: $i ).
tff(decl_442,type,
f1_s6_fraenkel: $i ).
tff(decl_443,type,
p1_s6_fraenkel: $i > $o ).
tff(decl_444,type,
f2_s6_fraenkel: $i > $i ).
tff(decl_445,type,
f3_s6_fraenkel: $i > $i ).
tff(decl_446,type,
a_0_10_fraenkel: $i ).
tff(decl_447,type,
a_0_11_fraenkel: $i ).
tff(decl_448,type,
f1_s7_fraenkel: $i ).
tff(decl_449,type,
f2_s7_fraenkel: $i ).
tff(decl_450,type,
f3_s7_fraenkel: ( $i * $i ) > $i ).
tff(decl_451,type,
f4_s7_fraenkel: ( $i * $i ) > $i ).
tff(decl_452,type,
a_0_12_fraenkel: $i ).
tff(decl_453,type,
a_0_13_fraenkel: $i ).
tff(decl_454,type,
f1_s8_fraenkel: $i ).
tff(decl_455,type,
f2_s8_fraenkel: $i ).
tff(decl_456,type,
p1_s8_fraenkel: ( $i * $i ) > $o ).
tff(decl_457,type,
p2_s8_fraenkel: ( $i * $i ) > $o ).
tff(decl_458,type,
f3_s8_fraenkel: ( $i * $i ) > $i ).
tff(decl_459,type,
a_0_14_fraenkel: $i ).
tff(decl_460,type,
a_0_15_fraenkel: $i ).
tff(decl_461,type,
f4_s9_fraenkel: $i ).
tff(decl_462,type,
f3_s9_fraenkel: $i ).
tff(decl_463,type,
f5_s9_fraenkel: $i ).
tff(decl_464,type,
f1_s9_fraenkel: $i ).
tff(decl_465,type,
p1_s9_fraenkel: $i > $o ).
tff(decl_466,type,
p2_s9_fraenkel: $i > $o ).
tff(decl_467,type,
a_0_16_fraenkel: $i ).
tff(decl_468,type,
a_0_17_fraenkel: $i ).
tff(decl_469,type,
a_0_18_fraenkel: $i ).
tff(decl_470,type,
f1_s10_fraenkel: $i ).
tff(decl_471,type,
a_0_19_fraenkel: $i ).
tff(decl_472,type,
p2_s11_fraenkel: $i > $o ).
tff(decl_473,type,
f1_s11_fraenkel: $i ).
tff(decl_474,type,
f2_s11_fraenkel: $i ).
tff(decl_475,type,
p1_s11_fraenkel: ( $i * $i ) > $o ).
tff(decl_476,type,
f3_s11_fraenkel: ( $i * $i ) > $i ).
tff(decl_477,type,
f1_s12_fraenkel: $i ).
tff(decl_478,type,
f2_s12_fraenkel: $i ).
tff(decl_479,type,
p1_s12_fraenkel: ( $i * $i ) > $o ).
tff(decl_480,type,
f3_s12_fraenkel: ( $i * $i ) > $i ).
tff(decl_481,type,
p2_s12_fraenkel: $i > $o ).
tff(decl_482,type,
a_0_20_fraenkel: $i ).
tff(decl_483,type,
a_0_21_fraenkel: $i ).
tff(decl_484,type,
a_0_23_fraenkel: $i ).
tff(decl_485,type,
a_0_24_fraenkel: $i ).
tff(decl_486,type,
a_0_26_fraenkel: $i ).
tff(decl_487,type,
a_0_27_fraenkel: $i ).
tff(decl_488,type,
a_0_29_fraenkel: $i ).
tff(decl_489,type,
f1_s16_fraenkel: $i ).
tff(decl_490,type,
f2_s16_fraenkel: $i ).
tff(decl_491,type,
p1_s16_fraenkel: ( $i * $i ) > $o ).
tff(decl_492,type,
p2_s16_fraenkel: ( $i * $i ) > $o ).
tff(decl_493,type,
f3_s16_fraenkel: ( $i * $i ) > $i ).
tff(decl_494,type,
a_0_30_fraenkel: $i ).
tff(decl_495,type,
a_0_31_fraenkel: $i ).
tff(decl_496,type,
a_0_32_fraenkel: $i ).
tff(decl_497,type,
f2_s17_fraenkel: $i ).
tff(decl_498,type,
a_0_33_fraenkel: $i ).
tff(decl_499,type,
f2_s18_fraenkel: $i ).
tff(decl_500,type,
f1_s19_fraenkel: $i ).
tff(decl_501,type,
f2_s19_fraenkel: $i ).
tff(decl_502,type,
p2_s19_fraenkel: ( $i * $i ) > $o ).
tff(decl_503,type,
f4_s19_fraenkel: $i ).
tff(decl_504,type,
p1_s19_fraenkel: ( $i * $i ) > $o ).
tff(decl_505,type,
a_0_34_fraenkel: $i ).
tff(decl_506,type,
a_0_35_fraenkel: $i ).
tff(decl_507,type,
a_0_36_fraenkel: $i ).
tff(decl_508,type,
a_0_37_fraenkel: $i ).
tff(decl_509,type,
f2_s21_fraenkel: $i ).
tff(decl_510,type,
a_0_38_fraenkel: $i ).
tff(decl_511,type,
f3_s22_fraenkel: $i ).
tff(decl_512,type,
f4_s22_fraenkel: $i ).
tff(decl_513,type,
a_0_39_fraenkel: $i ).
tff(decl_514,type,
f3_s25_fraenkel: $i ).
tff(decl_515,type,
f4_s25_fraenkel: $i ).
tff(decl_516,type,
f1_s25_fraenkel: $i ).
tff(decl_517,type,
f2_s25_fraenkel: $i ).
tff(decl_518,type,
f5_s25_fraenkel: $i > $i ).
tff(decl_519,type,
a_0_40_fraenkel: $i ).
tff(decl_520,type,
f2_s1_fraenkel: $i > $i ).
tff(decl_521,type,
f3_s2_fraenkel: ( $i * $i ) > $i ).
tff(decl_522,type,
f2_s3_fraenkel: $i > $i ).
tff(decl_523,type,
f3_s4_fraenkel: ( $i * $i ) > $i ).
tff(decl_524,type,
p1_s5_fraenkel: $i > $o ).
tff(decl_525,type,
p1_s7_fraenkel: ( $i * $i ) > $o ).
tff(decl_526,type,
f2_s9_fraenkel: $i ).
tff(decl_527,type,
p1_s10_fraenkel: $i > $o ).
tff(decl_528,type,
f3_s13_fraenkel: $i ).
tff(decl_529,type,
a_0_22_fraenkel: $i ).
tff(decl_530,type,
p2_s13_fraenkel: $i > $o ).
tff(decl_531,type,
f1_s13_fraenkel: $i ).
tff(decl_532,type,
f2_s13_fraenkel: $i ).
tff(decl_533,type,
f4_s13_fraenkel: ( $i * $i ) > $i ).
tff(decl_534,type,
p1_s13_fraenkel: ( $i * $i ) > $o ).
tff(decl_535,type,
f1_s14_fraenkel: $i ).
tff(decl_536,type,
f2_s14_fraenkel: $i > $i ).
tff(decl_537,type,
a_0_25_fraenkel: $i ).
tff(decl_538,type,
p1_s14_fraenkel: $i > $o ).
tff(decl_539,type,
p2_s14_fraenkel: $i > $o ).
tff(decl_540,type,
f1_s15_fraenkel: $i ).
tff(decl_541,type,
f2_s15_fraenkel: $i ).
tff(decl_542,type,
f3_s15_fraenkel: ( $i * $i ) > $i ).
tff(decl_543,type,
a_0_28_fraenkel: $i ).
tff(decl_544,type,
p1_s15_fraenkel: ( $i * $i ) > $o ).
tff(decl_545,type,
p2_s15_fraenkel: $i > $o ).
tff(decl_546,type,
f1_s17_fraenkel: $i ).
tff(decl_547,type,
f3_s17_fraenkel: $i > $i ).
tff(decl_548,type,
p1_s17_fraenkel: $i > $o ).
tff(decl_549,type,
f1_s18_fraenkel: $i ).
tff(decl_550,type,
f3_s18_fraenkel: $i > $i ).
tff(decl_551,type,
p1_s18_fraenkel: $i > $o ).
tff(decl_552,type,
f3_s19_fraenkel: ( $i * $i ) > $i ).
tff(decl_553,type,
f1_s20_fraenkel: $i ).
tff(decl_554,type,
f2_s20_fraenkel: $i ).
tff(decl_555,type,
f3_s20_fraenkel: ( $i * $i ) > $i ).
tff(decl_556,type,
f4_s20_fraenkel: $i ).
tff(decl_557,type,
p1_s20_fraenkel: ( $i * $i ) > $o ).
tff(decl_558,type,
f1_s21_fraenkel: $i ).
tff(decl_559,type,
f3_s21_fraenkel: $i > $i ).
tff(decl_560,type,
f1_s22_fraenkel: $i ).
tff(decl_561,type,
f2_s22_fraenkel: $i ).
tff(decl_562,type,
f5_s22_fraenkel: ( $i * $i ) > $i ).
tff(decl_563,type,
k1_numbers: $i ).
tff(decl_564,type,
k2_numbers: $i ).
tff(decl_565,type,
k3_numbers: $i ).
tff(decl_566,type,
k4_numbers: $i ).
tff(decl_567,type,
k2_arytm_2: $i ).
tff(decl_568,type,
np__0: $i ).
tff(decl_569,type,
k6_arytm_3: $i ).
tff(decl_570,type,
k5_numbers: $i ).
tff(decl_571,type,
k13_arytm_3: $i ).
tff(decl_572,type,
a_0_0_numbers: $i ).
tff(decl_573,type,
v1_xreal_0: $i > $o ).
tff(decl_574,type,
v1_xcmplx_0: $i > $o ).
tff(decl_575,type,
k4_xcmplx_0: $i > $i ).
tff(decl_576,type,
k5_xcmplx_0: $i > $i ).
tff(decl_577,type,
k2_xcmplx_0: ( $i * $i ) > $i ).
tff(decl_578,type,
k3_xcmplx_0: ( $i * $i ) > $i ).
tff(decl_579,type,
k6_xcmplx_0: ( $i * $i ) > $i ).
tff(decl_580,type,
k7_xcmplx_0: ( $i * $i ) > $i ).
tff(decl_581,type,
v2_xreal_0: $i > $o ).
tff(decl_582,type,
v3_xreal_0: $i > $o ).
tff(decl_583,type,
r1_xreal_0: ( $i * $i ) > $o ).
tff(decl_584,type,
r1_arytm_2: ( $i * $i ) > $o ).
tff(decl_585,type,
v1_int_1: $i > $o ).
tff(decl_586,type,
k3_int_1: $i > $i ).
tff(decl_587,type,
k1_real_1: $i > $i ).
tff(decl_588,type,
np__1: $i ).
tff(decl_589,type,
r1_int_1: ( $i * $i * $i ) > $o ).
tff(decl_590,type,
k1_int_1: $i > $i ).
tff(decl_591,type,
k2_int_1: $i > $i ).
tff(decl_592,type,
k4_int_1: $i > $i ).
tff(decl_593,type,
k5_int_1: ( $i * $i ) > $i ).
tff(decl_594,type,
k6_int_1: ( $i * $i ) > $i ).
tff(decl_595,type,
r2_int_1: ( $i * $i ) > $o ).
tff(decl_596,type,
p1_s1_int_1: $i > $o ).
tff(decl_597,type,
f1_s2_int_1: $i ).
tff(decl_598,type,
p1_s2_int_1: $i > $o ).
tff(decl_599,type,
f1_s3_int_1: $i ).
tff(decl_600,type,
p1_s3_int_1: $i > $o ).
tff(decl_601,type,
f1_s4_int_1: $i ).
tff(decl_602,type,
p1_s4_int_1: $i > $o ).
tff(decl_603,type,
p1_s5_int_1: $i > $o ).
tff(decl_604,type,
f1_s5_int_1: $i ).
tff(decl_605,type,
p1_s6_int_1: $i > $o ).
tff(decl_606,type,
f1_s6_int_1: $i ).
tff(decl_607,type,
v1_card_1: $i > $o ).
tff(decl_608,type,
k3_card_1: $i > $i ).
tff(decl_609,type,
k1_card_1: $i > $i ).
tff(decl_610,type,
r2_wellord2: ( $i * $i ) > $o ).
tff(decl_611,type,
v2_wellord1: $i > $o ).
tff(decl_612,type,
k2_wellord2: $i > $i ).
tff(decl_613,type,
k2_card_1: $i > $i ).
tff(decl_614,type,
v2_card_1: $i > $o ).
tff(decl_615,type,
k1_nat_1: ( $i * $i ) > $i ).
tff(decl_616,type,
k4_card_1: $i > $i ).
tff(decl_617,type,
p1_s1_card_1: $i > $o ).
tff(decl_618,type,
p1_s2_card_1: $i > $o ).
tff(decl_619,type,
v1_finseq_1: $i > $o ).
tff(decl_620,type,
k1_finseq_1: $i > $i ).
tff(decl_621,type,
m1_finseq_1: ( $i * $i ) > $o ).
tff(decl_622,type,
k5_finseq_1: $i > $i ).
tff(decl_623,type,
k10_finseq_1: ( $i * $i ) > $i ).
tff(decl_624,type,
k11_finseq_1: ( $i * $i * $i ) > $i ).
tff(decl_625,type,
k13_finseq_1: $i > $i ).
tff(decl_626,type,
v2_finseq_1: $i > $o ).
tff(decl_627,type,
k15_finseq_1: $i > $i ).
tff(decl_628,type,
k7_finseq_1: ( $i * $i ) > $i ).
tff(decl_629,type,
k16_finseq_1: ( $i * $i * $i ) > $i ).
tff(decl_630,type,
k2_finseq_1: $i > $i ).
tff(decl_631,type,
np__2: $i ).
tff(decl_632,type,
k3_finseq_1: $i > $i ).
tff(decl_633,type,
k4_finseq_1: $i > $i ).
tff(decl_634,type,
m2_finseq_1: ( $i * $i ) > $o ).
tff(decl_635,type,
k6_finseq_1: $i > $i ).
tff(decl_636,type,
k9_finseq_1: $i > $i ).
tff(decl_637,type,
np__3: $i ).
tff(decl_638,type,
k14_finseq_1: $i > $i ).
tff(decl_639,type,
k17_finseq_1: $i > $i ).
tff(decl_640,type,
f1_s1_finseq_1: $i ).
tff(decl_641,type,
p1_s1_finseq_1: ( $i * $i ) > $o ).
tff(decl_642,type,
f1_s2_finseq_1: $i ).
tff(decl_643,type,
f2_s2_finseq_1: $i > $i ).
tff(decl_644,type,
p1_s3_finseq_1: $i > $o ).
tff(decl_645,type,
f1_s4_finseq_1: $i ).
tff(decl_646,type,
p1_s4_finseq_1: $i > $o ).
tff(decl_647,type,
f2_s5_finseq_1: $i ).
tff(decl_648,type,
f1_s5_finseq_1: $i ).
tff(decl_649,type,
p1_s5_finseq_1: ( $i * $i ) > $o ).
tff(decl_650,type,
k8_finseq_1: ( $i * $i * $i ) > $i ).
tff(decl_651,type,
k12_finseq_1: ( $i * $i ) > $i ).
tff(decl_652,type,
a_1_0_finseq_1: $i > $i ).
tff(decl_653,type,
k1_realset1: ( $i * $i ) > $i ).
tff(decl_654,type,
v1_realset1: $i > $o ).
tff(decl_655,type,
m4_realset1: ( $i * $i ) > $o ).
tff(decl_656,type,
r1_realset1: ( $i * $i * $i ) > $o ).
tff(decl_657,type,
m1_realset1: ( $i * $i * $i ) > $o ).
tff(decl_658,type,
r2_realset1: ( $i * $i * $i ) > $o ).
tff(decl_659,type,
m2_realset1: ( $i * $i * $i ) > $o ).
tff(decl_660,type,
k3_realset1: ( $i * $i * $i ) > $i ).
tff(decl_661,type,
m3_realset1: ( $i * $i * $i ) > $o ).
tff(decl_662,type,
k4_realset1: ( $i * $i * $i ) > $i ).
tff(decl_663,type,
k2_realset1: ( $i * $i * $i ) > $i ).
tff(decl_664,type,
k5_realset1: ( $i * $i ) > $i ).
tff(decl_665,type,
l1_struct_0: $i > $o ).
tff(decl_666,type,
v1_struct_0: $i > $o ).
tff(decl_667,type,
l2_struct_0: $i > $o ).
tff(decl_668,type,
v2_struct_0: $i > $o ).
tff(decl_669,type,
v3_struct_0: $i > $o ).
tff(decl_670,type,
u1_struct_0: $i > $i ).
tff(decl_671,type,
m1_struct_0: ( $i * $i * $i ) > $o ).
tff(decl_672,type,
g1_struct_0: $i > $i ).
tff(decl_673,type,
u2_struct_0: $i > $i ).
tff(decl_674,type,
g2_struct_0: ( $i * $i ) > $i ).
tff(decl_675,type,
k1_struct_0: ( $i * $i ) > $i ).
tff(decl_676,type,
k2_struct_0: ( $i * $i * $i ) > $i ).
tff(decl_677,type,
l1_rlvect_1: $i > $o ).
tff(decl_678,type,
v1_rlvect_1: $i > $o ).
tff(decl_679,type,
l2_rlvect_1: $i > $o ).
tff(decl_680,type,
v2_rlvect_1: $i > $o ).
tff(decl_681,type,
g2_rlvect_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_682,type,
v3_rlvect_1: $i > $o ).
tff(decl_683,type,
v4_rlvect_1: $i > $o ).
tff(decl_684,type,
v5_rlvect_1: $i > $o ).
tff(decl_685,type,
v6_rlvect_1: $i > $o ).
tff(decl_686,type,
v7_rlvect_1: $i > $o ).
tff(decl_687,type,
r1_rlvect_1: ( $i * $i ) > $o ).
tff(decl_688,type,
k1_rlvect_1: $i > $i ).
tff(decl_689,type,
k2_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_690,type,
u1_rlvect_1: $i > $i ).
tff(decl_691,type,
k1_domain_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_692,type,
k3_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_693,type,
u2_rlvect_1: $i > $i ).
tff(decl_694,type,
k3_real_1: ( $i * $i ) > $i ).
tff(decl_695,type,
k4_real_1: ( $i * $i ) > $i ).
tff(decl_696,type,
k5_rlvect_1: ( $i * $i ) > $i ).
tff(decl_697,type,
k6_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_698,type,
k4_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_699,type,
k5_real_1: ( $i * $i ) > $i ).
tff(decl_700,type,
k9_rlvect_1: ( $i * $i ) > $i ).
tff(decl_701,type,
k7_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_702,type,
k8_rlvect_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_703,type,
v8_rlvect_1: ( $i * $i ) > $o ).
tff(decl_704,type,
g1_rlvect_1: ( $i * $i * $i ) > $i ).
tff(decl_705,type,
l1_group_1: $i > $o ).
tff(decl_706,type,
v1_group_1: $i > $o ).
tff(decl_707,type,
g1_group_1: ( $i * $i ) > $i ).
tff(decl_708,type,
v3_group_1: $i > $o ).
tff(decl_709,type,
v2_group_1: $i > $o ).
tff(decl_710,type,
v4_group_1: $i > $o ).
tff(decl_711,type,
v7_group_1: $i > $o ).
tff(decl_712,type,
k1_group_1: ( $i * $i * $i ) > $i ).
tff(decl_713,type,
u1_group_1: $i > $i ).
tff(decl_714,type,
k33_binop_2: $i ).
tff(decl_715,type,
k2_group_1: $i > $i ).
tff(decl_716,type,
k3_group_1: ( $i * $i ) > $i ).
tff(decl_717,type,
k4_group_1: $i > $i ).
tff(decl_718,type,
v1_setwiseo: ( $i * $i ) > $o ).
tff(decl_719,type,
r1_finseqop: ( $i * $i * $i ) > $o ).
tff(decl_720,type,
v1_finseqop: ( $i * $i ) > $o ).
tff(decl_721,type,
k6_finseqop: ( $i * $i ) > $i ).
tff(decl_722,type,
k5_group_1: $i > $i ).
tff(decl_723,type,
k6_group_1: ( $i * $i * $i ) > $i ).
tff(decl_724,type,
k1_int_2: $i > $i ).
tff(decl_725,type,
k2_nat_1: ( $i * $i ) > $i ).
tff(decl_726,type,
k7_binop_2: $i > $i ).
tff(decl_727,type,
v5_group_1: ( $i * $i ) > $o ).
tff(decl_728,type,
k7_group_1: ( $i * $i ) > $i ).
tff(decl_729,type,
r1_nat_1: ( $i * $i ) > $o ).
tff(decl_730,type,
k8_group_1: $i > $i ).
tff(decl_731,type,
v6_group_1: $i > $o ).
tff(decl_732,type,
k9_group_1: $i > $i ).
tff(decl_733,type,
k10_group_1: ( $i * $i * $i ) > $i ).
tff(decl_734,type,
k1_vectsp_1: $i ).
tff(decl_735,type,
l1_vectsp_1: $i > $o ).
tff(decl_736,type,
v1_vectsp_1: $i > $o ).
tff(decl_737,type,
l2_vectsp_1: $i > $o ).
tff(decl_738,type,
v2_vectsp_1: $i > $o ).
tff(decl_739,type,
l3_vectsp_1: $i > $o ).
tff(decl_740,type,
v3_vectsp_1: $i > $o ).
tff(decl_741,type,
k3_vectsp_1: $i ).
tff(decl_742,type,
v6_vectsp_1: $i > $o ).
tff(decl_743,type,
v7_vectsp_1: $i > $o ).
tff(decl_744,type,
v8_vectsp_1: $i > $o ).
tff(decl_745,type,
v9_vectsp_1: $i > $o ).
tff(decl_746,type,
v10_vectsp_1: $i > $o ).
tff(decl_747,type,
v4_vectsp_1: $i > $o ).
tff(decl_748,type,
v5_vectsp_1: $i > $o ).
tff(decl_749,type,
l4_vectsp_1: ( $i * $i ) > $o ).
tff(decl_750,type,
v11_vectsp_1: ( $i * $i ) > $o ).
tff(decl_751,type,
g4_vectsp_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_752,type,
v12_vectsp_1: ( $i * $i ) > $o ).
tff(decl_753,type,
v13_vectsp_1: $i > $o ).
tff(decl_754,type,
k2_vectsp_1: $i > $i ).
tff(decl_755,type,
u1_vectsp_1: $i > $i ).
tff(decl_756,type,
k35_binop_2: $i ).
tff(decl_757,type,
g3_vectsp_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_758,type,
k4_vectsp_1: ( $i * $i ) > $i ).
tff(decl_759,type,
k5_vectsp_1: ( $i * $i * $i ) > $i ).
tff(decl_760,type,
k6_vectsp_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_761,type,
u2_vectsp_1: ( $i * $i ) > $i ).
tff(decl_762,type,
k7_vectsp_1: $i > $i ).
tff(decl_763,type,
g1_vectsp_1: ( $i * $i * $i ) > $i ).
tff(decl_764,type,
g2_vectsp_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_765,type,
k12_funcsdom: $i > $i ).
tff(decl_766,type,
l1_funcsdom: $i > $o ).
tff(decl_767,type,
v1_funcsdom: $i > $o ).
tff(decl_768,type,
k13_funcsdom: $i > $i ).
tff(decl_769,type,
v2_funcsdom: $i > $o ).
tff(decl_770,type,
k3_funcsdom: ( $i * $i * $i ) > $i ).
tff(decl_771,type,
k6_funcsdom: $i > $i ).
tff(decl_772,type,
k1_funcsdom: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_773,type,
k4_funcsdom: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_774,type,
k7_funcsdom: $i > $i ).
tff(decl_775,type,
k8_funcsdom: $i > $i ).
tff(decl_776,type,
k2_funcsdom: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_777,type,
k9_funcsdom: $i > $i ).
tff(decl_778,type,
k10_funcsdom: $i > $i ).
tff(decl_779,type,
k11_funcsdom: $i > $i ).
tff(decl_780,type,
g1_funcsdom: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_781,type,
k5_funcsdom: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_782,type,
m1_group_2: ( $i * $i ) > $o ).
tff(decl_783,type,
k1_group_2: ( $i * $i ) > $i ).
tff(decl_784,type,
k6_domain_1: ( $i * $i ) > $i ).
tff(decl_785,type,
k7_domain_1: ( $i * $i * $i ) > $i ).
tff(decl_786,type,
k2_group_2: ( $i * $i * $i ) > $i ).
tff(decl_787,type,
k9_domain_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_788,type,
k3_group_2: ( $i * $i * $i ) > $i ).
tff(decl_789,type,
k4_group_2: ( $i * $i * $i ) > $i ).
tff(decl_790,type,
r1_group_2: ( $i * $i * $i ) > $o ).
tff(decl_791,type,
k5_group_2: $i > $i ).
tff(decl_792,type,
k6_group_2: $i > $i ).
tff(decl_793,type,
k7_group_2: ( $i * $i ) > $i ).
tff(decl_794,type,
k8_group_2: ( $i * $i * $i ) > $i ).
tff(decl_795,type,
k9_group_2: ( $i * $i * $i ) > $i ).
tff(decl_796,type,
k10_group_2: ( $i * $i * $i ) > $i ).
tff(decl_797,type,
k11_group_2: ( $i * $i * $i ) > $i ).
tff(decl_798,type,
k12_group_2: ( $i * $i * $i ) > $i ).
tff(decl_799,type,
k13_group_2: ( $i * $i * $i ) > $i ).
tff(decl_800,type,
k14_group_2: ( $i * $i ) > $i ).
tff(decl_801,type,
k15_group_2: ( $i * $i ) > $i ).
tff(decl_802,type,
k5_setfam_1: ( $i * $i ) > $i ).
tff(decl_803,type,
k16_group_2: ( $i * $i ) > $i ).
tff(decl_804,type,
k17_group_2: ( $i * $i ) > $i ).
tff(decl_805,type,
k18_group_2: ( $i * $i ) > $i ).
tff(decl_806,type,
a_2_0_group_2: ( $i * $i ) > $i ).
tff(decl_807,type,
a_3_0_group_2: ( $i * $i * $i ) > $i ).
tff(decl_808,type,
a_1_0_group_2: $i > $i ).
tff(decl_809,type,
k1_group_3: $i > $i ).
tff(decl_810,type,
v1_group_3: ( $i * $i ) > $o ).
tff(decl_811,type,
k2_group_3: ( $i * $i * $i ) > $i ).
tff(decl_812,type,
k3_group_3: ( $i * $i * $i ) > $i ).
tff(decl_813,type,
k4_group_3: ( $i * $i * $i ) > $i ).
tff(decl_814,type,
k5_group_3: ( $i * $i * $i ) > $i ).
tff(decl_815,type,
k6_group_3: ( $i * $i * $i ) > $i ).
tff(decl_816,type,
r1_group_3: ( $i * $i * $i ) > $o ).
tff(decl_817,type,
r2_group_3: ( $i * $i * $i ) > $o ).
tff(decl_818,type,
k7_group_3: ( $i * $i ) > $i ).
tff(decl_819,type,
r3_group_3: ( $i * $i * $i ) > $o ).
tff(decl_820,type,
r4_group_3: ( $i * $i * $i ) > $o ).
tff(decl_821,type,
k8_group_3: ( $i * $i ) > $i ).
tff(decl_822,type,
r5_group_3: ( $i * $i * $i ) > $o ).
tff(decl_823,type,
r6_group_3: ( $i * $i * $i ) > $o ).
tff(decl_824,type,
k9_group_3: ( $i * $i ) > $i ).
tff(decl_825,type,
k10_group_3: ( $i * $i ) > $i ).
tff(decl_826,type,
k11_group_3: ( $i * $i ) > $i ).
tff(decl_827,type,
a_3_0_group_3: ( $i * $i * $i ) > $i ).
tff(decl_828,type,
a_2_0_group_3: ( $i * $i ) > $i ).
tff(decl_829,type,
a_2_1_group_3: ( $i * $i ) > $i ).
tff(decl_830,type,
a_2_2_group_3: ( $i * $i ) > $i ).
tff(decl_831,type,
a_2_3_group_3: ( $i * $i ) > $i ).
tff(decl_832,type,
k7_group_4: ( $i * $i * $i ) > $i ).
tff(decl_833,type,
k8_group_4: ( $i * $i * $i ) > $i ).
tff(decl_834,type,
k1_group_5: ( $i * $i * $i ) > $i ).
tff(decl_835,type,
k4_finseq_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_836,type,
k3_group_4: ( $i * $i ) > $i ).
tff(decl_837,type,
k4_group_4: ( $i * $i * $i ) > $i ).
tff(decl_838,type,
k2_group_5: ( $i * $i * $i ) > $i ).
tff(decl_839,type,
k3_group_5: ( $i * $i * $i * $i ) > $i ).
tff(decl_840,type,
k4_group_5: ( $i * $i * $i ) > $i ).
tff(decl_841,type,
k5_group_5: ( $i * $i * $i ) > $i ).
tff(decl_842,type,
k6_group_5: $i > $i ).
tff(decl_843,type,
k7_group_5: ( $i * $i * $i ) > $i ).
tff(decl_844,type,
k5_group_4: ( $i * $i ) > $i ).
tff(decl_845,type,
k8_group_5: ( $i * $i * $i ) > $i ).
tff(decl_846,type,
k9_group_5: $i > $i ).
tff(decl_847,type,
k10_group_5: $i > $i ).
tff(decl_848,type,
a_3_0_group_5: ( $i * $i * $i ) > $i ).
tff(decl_849,type,
a_1_0_group_5: $i > $i ).
tff(decl_850,type,
a_0_0_group_5: $i ).
tff(decl_851,type,
f2_s1_group_5: $i ).
tff(decl_852,type,
f1_s1_group_5: $i ).
tff(decl_853,type,
f3_s1_group_5: $i ).
tff(decl_854,type,
f4_s1_group_5: ( $i * $i * $i ) > $i ).
tff(decl_855,type,
p1_s1_group_5: ( $i * $i * $i ) > $o ).
tff(decl_856,type,
v3_realset2: $i > $o ).
tff(decl_857,type,
k4_group_6: ( $i * $i ) > $i ).
tff(decl_858,type,
k6_group_6: ( $i * $i ) > $i ).
tff(decl_859,type,
v1_group_6: ( $i * $i * $i ) > $o ).
tff(decl_860,type,
k12_group_6: ( $i * $i * $i ) > $i ).
tff(decl_861,type,
m1_group_6: ( $i * $i * $i ) > $o ).
tff(decl_862,type,
k1_group_6: ( $i * $i * $i ) > $i ).
tff(decl_863,type,
k5_group_6: ( $i * $i ) > $i ).
tff(decl_864,type,
k7_group_6: ( $i * $i * $i ) > $i ).
tff(decl_865,type,
k10_group_6: ( $i * $i ) > $i ).
tff(decl_866,type,
k8_group_6: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_867,type,
k11_group_6: ( $i * $i ) > $i ).
tff(decl_868,type,
k13_group_6: ( $i * $i * $i ) > $i ).
tff(decl_869,type,
k9_group_6: ( $i * $i * $i ) > $i ).
tff(decl_870,type,
v2_group_6: ( $i * $i * $i ) > $o ).
tff(decl_871,type,
v3_group_6: ( $i * $i * $i ) > $o ).
tff(decl_872,type,
v4_group_6: ( $i * $i * $i ) > $o ).
tff(decl_873,type,
r1_group_6: ( $i * $i ) > $o ).
tff(decl_874,type,
r2_group_6: ( $i * $i ) > $o ).
tff(decl_875,type,
k2_group_6: ( $i * $i * $i ) > $i ).
tff(decl_876,type,
k3_group_6: ( $i * $i * $i ) > $i ).
tff(decl_877,type,
a_1_0_group_6: $i > $i ).
tff(decl_878,type,
a_3_0_group_6: ( $i * $i * $i ) > $i ).
tff(decl_879,type,
v1_gr_cy_1: $i > $o ).
tff(decl_880,type,
k6_nat_1: ( $i * $i ) > $i ).
tff(decl_881,type,
k5_gr_cy_1: $i > $i ).
tff(decl_882,type,
k1_gr_cy_2: ( $i * $i ) > $i ).
tff(decl_883,type,
k3_gr_cy_1: $i ).
tff(decl_884,type,
v1_int_2: $i > $o ).
tff(decl_885,type,
k1_autgroup: $i > $i ).
tff(decl_886,type,
k2_autgroup: $i > $i ).
tff(decl_887,type,
k3_autgroup: $i > $i ).
tff(decl_888,type,
k4_autgroup: $i > $i ).
tff(decl_889,type,
k5_autgroup: $i > $i ).
tff(decl_890,type,
k6_autgroup: ( $i * $i ) > $i ).
tff(decl_891,type,
epred1_2: ( $i * $i ) > $o ).
tff(decl_892,type,
esk1_0: $i ).
tff(decl_893,type,
esk2_0: $i ).
tff(decl_894,type,
esk3_0: $i ).
tff(decl_895,type,
esk4_0: $i ).
tff(decl_896,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_897,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_898,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_899,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_900,type,
esk9_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_901,type,
esk10_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_902,type,
esk11_1: $i > $i ).
tff(decl_903,type,
esk12_1: $i > $i ).
tff(decl_904,type,
esk13_1: $i > $i ).
tff(decl_905,type,
esk14_1: $i > $i ).
tff(decl_906,type,
esk15_0: $i ).
tff(decl_907,type,
esk16_0: $i ).
tff(decl_908,type,
esk17_0: $i ).
tff(decl_909,type,
esk18_1: $i > $i ).
tff(decl_910,type,
esk19_1: $i > $i ).
tff(decl_911,type,
esk20_0: $i ).
tff(decl_912,type,
esk21_1: $i > $i ).
tff(decl_913,type,
esk22_1: $i > $i ).
tff(decl_914,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_915,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_916,type,
esk25_0: $i ).
tff(decl_917,type,
esk26_1: $i > $i ).
tff(decl_918,type,
esk27_0: $i ).
tff(decl_919,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_920,type,
esk29_1: $i > $i ).
tff(decl_921,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_922,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_923,type,
esk32_1: $i > $i ).
tff(decl_924,type,
esk33_1: $i > $i ).
tff(decl_925,type,
esk34_1: $i > $i ).
tff(decl_926,type,
esk35_1: $i > $i ).
tff(decl_927,type,
esk36_1: $i > $i ).
tff(decl_928,type,
esk37_1: $i > $i ).
tff(decl_929,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_930,type,
esk39_1: $i > $i ).
tff(decl_931,type,
esk40_1: $i > $i ).
tff(decl_932,type,
esk41_1: $i > $i ).
tff(decl_933,type,
esk42_1: $i > $i ).
tff(decl_934,type,
esk43_1: $i > $i ).
tff(decl_935,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_936,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_937,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_938,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_939,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_940,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_941,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_942,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_943,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_944,type,
esk53_3: ( $i * $i * $i ) > $i ).
tff(decl_945,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_946,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_947,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_948,type,
esk57_2: ( $i * $i ) > $i ).
tff(decl_949,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_950,type,
esk59_3: ( $i * $i * $i ) > $i ).
tff(decl_951,type,
esk60_3: ( $i * $i * $i ) > $i ).
tff(decl_952,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_953,type,
esk62_0: $i ).
tff(decl_954,type,
esk63_3: ( $i * $i * $i ) > $i ).
tff(decl_955,type,
esk64_3: ( $i * $i * $i ) > $i ).
tff(decl_956,type,
esk65_3: ( $i * $i * $i ) > $i ).
tff(decl_957,type,
esk66_3: ( $i * $i * $i ) > $i ).
tff(decl_958,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_959,type,
esk68_0: $i ).
tff(decl_960,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_961,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_962,type,
esk71_3: ( $i * $i * $i ) > $i ).
tff(decl_963,type,
esk72_3: ( $i * $i * $i ) > $i ).
tff(decl_964,type,
esk73_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_965,type,
esk74_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_966,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_967,type,
esk76_3: ( $i * $i * $i ) > $i ).
tff(decl_968,type,
esk77_1: $i > $i ).
tff(decl_969,type,
esk78_1: $i > $i ).
tff(decl_970,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_971,type,
esk80_2: ( $i * $i ) > $i ).
tff(decl_972,type,
esk81_2: ( $i * $i ) > $i ).
tff(decl_973,type,
esk82_0: $i ).
tff(decl_974,type,
esk83_0: $i ).
tff(decl_975,type,
esk84_0: $i ).
tff(decl_976,type,
esk85_0: $i ).
tff(decl_977,type,
esk86_0: $i ).
tff(decl_978,type,
esk87_0: $i ).
tff(decl_979,type,
esk88_1: $i > $i ).
tff(decl_980,type,
esk89_1: $i > $i ).
tff(decl_981,type,
esk90_2: ( $i * $i ) > $i ).
tff(decl_982,type,
esk91_1: $i > $i ).
tff(decl_983,type,
esk92_0: $i ).
tff(decl_984,type,
esk93_0: $i ).
tff(decl_985,type,
esk94_0: $i ).
tff(decl_986,type,
esk95_0: $i ).
tff(decl_987,type,
esk96_1: $i > $i ).
tff(decl_988,type,
esk97_1: $i > $i ).
tff(decl_989,type,
esk98_1: $i > $i ).
tff(decl_990,type,
esk99_1: $i > $i ).
tff(decl_991,type,
esk100_2: ( $i * $i ) > $i ).
tff(decl_992,type,
esk101_3: ( $i * $i * $i ) > $i ).
tff(decl_993,type,
esk102_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_994,type,
esk103_3: ( $i * $i * $i ) > $i ).
tff(decl_995,type,
esk104_1: $i > $i ).
tff(decl_996,type,
esk105_2: ( $i * $i ) > $i ).
tff(decl_997,type,
esk106_1: $i > $i ).
tff(decl_998,type,
esk107_1: $i > $i ).
tff(decl_999,type,
esk108_1: $i > $i ).
tff(decl_1000,type,
esk109_1: $i > $i ).
tff(decl_1001,type,
esk110_2: ( $i * $i ) > $i ).
tff(decl_1002,type,
esk111_2: ( $i * $i ) > $i ).
tff(decl_1003,type,
esk112_2: ( $i * $i ) > $i ).
tff(decl_1004,type,
esk113_2: ( $i * $i ) > $i ).
tff(decl_1005,type,
esk114_2: ( $i * $i ) > $i ).
tff(decl_1006,type,
esk115_2: ( $i * $i ) > $i ).
tff(decl_1007,type,
esk116_3: ( $i * $i * $i ) > $i ).
tff(decl_1008,type,
esk117_2: ( $i * $i ) > $i ).
tff(decl_1009,type,
esk118_2: ( $i * $i ) > $i ).
tff(decl_1010,type,
esk119_2: ( $i * $i ) > $i ).
tff(decl_1011,type,
esk120_3: ( $i * $i * $i ) > $i ).
tff(decl_1012,type,
esk121_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1013,type,
esk122_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1014,type,
esk123_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_1015,type,
esk124_2: ( $i * $i ) > $i ).
tff(decl_1016,type,
esk125_2: ( $i * $i ) > $i ).
tff(decl_1017,type,
esk126_3: ( $i * $i * $i ) > $i ).
tff(decl_1018,type,
esk127_3: ( $i * $i * $i ) > $i ).
tff(decl_1019,type,
esk128_3: ( $i * $i * $i ) > $i ).
tff(decl_1020,type,
esk129_0: $i ).
tff(decl_1021,type,
esk130_1: $i > $i ).
tff(decl_1022,type,
esk131_1: $i > $i ).
tff(decl_1023,type,
esk132_1: $i > $i ).
tff(decl_1024,type,
esk133_1: $i > $i ).
tff(decl_1025,type,
esk134_1: $i > $i ).
tff(decl_1026,type,
esk135_1: $i > $i ).
tff(decl_1027,type,
esk136_1: $i > $i ).
tff(decl_1028,type,
esk137_1: $i > $i ).
tff(decl_1029,type,
esk138_0: $i ).
tff(decl_1030,type,
esk139_3: ( $i * $i * $i ) > $i ).
tff(decl_1031,type,
esk140_3: ( $i * $i * $i ) > $i ).
tff(decl_1032,type,
esk141_2: ( $i * $i ) > $i ).
tff(decl_1033,type,
esk142_2: ( $i * $i ) > $i ).
tff(decl_1034,type,
esk143_2: ( $i * $i ) > $i ).
tff(decl_1035,type,
esk144_2: ( $i * $i ) > $i ).
fof(l2_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( v1_group_3(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_autgroup) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+246.ax',t51_group_2) ).
fof(t1_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
<=> v1_group_3(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_autgroup) ).
fof(l1_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
=> v1_group_3(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_autgroup) ).
fof(c_0_4,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( v1_group_3(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[l2_autgroup]) ).
fof(c_0_5,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_6,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
<=> v1_group_3(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t1_autgroup])]) ).
fof(c_0_7,plain,
! [X29,X30,X31,X32] :
( v3_struct_0(X29)
| ~ v1_group_1(X29)
| ~ v3_group_1(X29)
| ~ v4_group_1(X29)
| ~ l1_group_1(X29)
| ~ m1_group_2(X30,X29)
| ~ v1_group_3(X30,X29)
| ~ m1_subset_1(X31,u1_struct_0(X29))
| ~ m1_subset_1(X32,u1_struct_0(X29))
| ~ m1_subset_1(X32,u1_struct_0(X30))
| r1_rlvect_1(X30,k2_group_3(X29,X32,X31)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_8,plain,
! [X198,X199,X200] :
( v3_struct_0(X198)
| ~ v3_group_1(X198)
| ~ l1_group_1(X198)
| ~ m1_group_2(X199,X198)
| ~ m1_subset_1(X200,u1_struct_0(X199))
| m1_subset_1(X200,u1_struct_0(X198)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_9,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
=> v1_group_3(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[l1_autgroup]) ).
fof(c_0_10,negated_conjecture,
! [X17,X18] :
( ~ v3_struct_0(esk1_0)
& v1_group_1(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& m1_group_2(esk2_0,esk1_0)
& ( m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( m1_subset_1(esk4_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( m1_subset_1(esk4_0,u1_struct_0(esk2_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( ~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( ~ m1_subset_1(X17,u1_struct_0(esk1_0))
| ~ m1_subset_1(X18,u1_struct_0(esk1_0))
| ~ m1_subset_1(X18,u1_struct_0(esk2_0))
| r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X18,X17))
| v1_group_3(esk2_0,esk1_0) ) ),
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_6])])])])]) ).
cnf(c_0_11,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_3(X1,X4,X3))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,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_8]) ).
fof(c_0_13,plain,
! [X25,X26] :
( ( m1_subset_1(esk5_2(X25,X26),u1_struct_0(X25))
| v1_group_3(X26,X25)
| ~ m1_group_2(X26,X25)
| v3_struct_0(X25)
| ~ v1_group_1(X25)
| ~ v3_group_1(X25)
| ~ v4_group_1(X25)
| ~ l1_group_1(X25) )
& ( m1_subset_1(esk6_2(X25,X26),u1_struct_0(X25))
| v1_group_3(X26,X25)
| ~ m1_group_2(X26,X25)
| v3_struct_0(X25)
| ~ v1_group_1(X25)
| ~ v3_group_1(X25)
| ~ v4_group_1(X25)
| ~ l1_group_1(X25) )
& ( m1_subset_1(esk6_2(X25,X26),u1_struct_0(X26))
| v1_group_3(X26,X25)
| ~ m1_group_2(X26,X25)
| v3_struct_0(X25)
| ~ v1_group_1(X25)
| ~ v3_group_1(X25)
| ~ v4_group_1(X25)
| ~ l1_group_1(X25) )
& ( ~ r1_rlvect_1(X26,k2_group_3(X25,esk6_2(X25,X26),esk5_2(X25,X26)))
| v1_group_3(X26,X25)
| ~ m1_group_2(X26,X25)
| v3_struct_0(X25)
| ~ v1_group_1(X25)
| ~ v3_group_1(X25)
| ~ v4_group_1(X25)
| ~ l1_group_1(X25) ) ),
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_9])])])])]) ).
cnf(c_0_14,negated_conjecture,
( ~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( r1_rlvect_1(X1,k2_group_3(X2,X3,X4))
| v3_struct_0(X2)
| ~ v1_group_3(X1,X2)
| ~ m1_group_2(X1,X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(csr,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,negated_conjecture,
( m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,negated_conjecture,
( m1_subset_1(esk4_0,u1_struct_0(esk2_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,plain,
( v1_group_3(X1,X2)
| v3_struct_0(X2)
| ~ r1_rlvect_1(X1,k2_group_3(X2,esk6_2(X2,X1),esk5_2(X2,X1)))
| ~ m1_group_2(X1,X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X2,X1))
| v1_group_3(esk2_0,esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,negated_conjecture,
~ v1_group_3(esk2_0,esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20])]),c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( ~ m1_subset_1(esk6_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk6_2(esk1_0,esk2_0),u1_struct_0(esk2_0))
| ~ m1_subset_1(esk5_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20])]),c_0_26]),c_0_21]) ).
cnf(c_0_28,plain,
( m1_subset_1(esk6_2(X1,X2),u1_struct_0(X2))
| v1_group_3(X2,X1)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_29,negated_conjecture,
( ~ m1_subset_1(esk6_2(esk1_0,esk2_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk5_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20])]),c_0_26]),c_0_21]) ).
cnf(c_0_30,plain,
( m1_subset_1(esk6_2(X1,X2),u1_struct_0(X1))
| v1_group_3(X2,X1)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_31,negated_conjecture,
~ m1_subset_1(esk5_2(esk1_0,esk2_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20])]),c_0_26]),c_0_21]) ).
cnf(c_0_32,plain,
( m1_subset_1(esk5_2(X1,X2),u1_struct_0(X1))
| v1_group_3(X2,X1)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20])]),c_0_26]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP618+2 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 22:11:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 124.04/124.18 % Version : CSE_E---1.5
% 124.04/124.18 % Problem : theBenchmark.p
% 124.04/124.18 % Proof found
% 124.04/124.18 % SZS status Theorem for theBenchmark.p
% 124.04/124.18 % SZS output start Proof
% See solution above
% 124.04/124.21 % Total time : 123.479000 s
% 124.04/124.21 % SZS output end Proof
% 124.04/124.21 % Total time : 123.616000 s
%------------------------------------------------------------------------------