TSTP Solution File: SEU295+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU295+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n020.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 16:24:12 EDT 2023
% Result : Theorem 0.94s 1.03s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 337
% Syntax : Number of formulae : 348 ( 7 unt; 334 typ; 0 def)
% Number of atoms : 21 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 3 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 666 ( 313 >; 353 *; 0 +; 0 <<)
% Number of predicates : 38 ( 36 usr; 1 prp; 0-3 aty)
% Number of functors : 298 ( 298 usr; 21 con; 0-7 aty)
% Number of variables : 18 ( 2 sgn; 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
proper_subset: ( $i * $i ) > $o ).
tff(decl_24,type,
ordinal: $i > $o ).
tff(decl_25,type,
element: ( $i * $i ) > $o ).
tff(decl_26,type,
epsilon_transitive: $i > $o ).
tff(decl_27,type,
epsilon_connected: $i > $o ).
tff(decl_28,type,
empty: $i > $o ).
tff(decl_29,type,
finite: $i > $o ).
tff(decl_30,type,
function: $i > $o ).
tff(decl_31,type,
relation: $i > $o ).
tff(decl_32,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_33,type,
powerset: $i > $i ).
tff(decl_34,type,
natural: $i > $o ).
tff(decl_35,type,
one_to_one: $i > $o ).
tff(decl_36,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_37,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_38,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_39,type,
ordinal_subset: ( $i * $i ) > $o ).
tff(decl_40,type,
identity_relation: $i > $i ).
tff(decl_41,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_42,type,
subset: ( $i * $i ) > $o ).
tff(decl_43,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff(decl_44,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_45,type,
relation_dom: $i > $i ).
tff(decl_46,type,
apply: ( $i * $i ) > $i ).
tff(decl_47,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_48,type,
antisymmetric: $i > $o ).
tff(decl_49,type,
relation_field: $i > $i ).
tff(decl_50,type,
is_antisymmetric_in: ( $i * $i ) > $o ).
tff(decl_51,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_52,type,
connected: $i > $o ).
tff(decl_53,type,
is_connected_in: ( $i * $i ) > $o ).
tff(decl_54,type,
transitive: $i > $o ).
tff(decl_55,type,
is_transitive_in: ( $i * $i ) > $o ).
tff(decl_56,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
empty_set: $i ).
tff(decl_59,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff(decl_60,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
pair_first: $i > $i ).
tff(decl_62,type,
succ: $i > $i ).
tff(decl_63,type,
singleton: $i > $i ).
tff(decl_64,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff(decl_65,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_66,type,
set_meet: $i > $i ).
tff(decl_67,type,
fiber: ( $i * $i ) > $i ).
tff(decl_68,type,
inclusion_relation: $i > $i ).
tff(decl_69,type,
pair_second: $i > $i ).
tff(decl_70,type,
well_founded_relation: $i > $o ).
tff(decl_71,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_72,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff(decl_73,type,
cast_to_subset: $i > $i ).
tff(decl_74,type,
union: $i > $i ).
tff(decl_75,type,
well_ordering: $i > $o ).
tff(decl_76,type,
reflexive: $i > $o ).
tff(decl_77,type,
equipotent: ( $i * $i ) > $o ).
tff(decl_78,type,
relation_rng: $i > $i ).
tff(decl_79,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_80,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_81,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_82,type,
being_limit_ordinal: $i > $o ).
tff(decl_83,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_84,type,
relation_inverse: $i > $i ).
tff(decl_85,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_86,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_87,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_88,type,
function_inverse: $i > $i ).
tff(decl_89,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_91,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_92,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
relation_empty_yielding: $i > $o ).
tff(decl_94,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_95,type,
epred1_2: ( $i * $i ) > $o ).
tff(decl_96,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_104,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_107,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_110,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_111,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_112,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_113,type,
esk18_1: $i > $i ).
tff(decl_114,type,
esk19_1: $i > $i ).
tff(decl_115,type,
esk20_1: $i > $i ).
tff(decl_116,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_117,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_118,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_119,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_120,type,
esk25_1: $i > $i ).
tff(decl_121,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_122,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_123,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_124,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_125,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_126,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_127,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_128,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_129,type,
esk34_1: $i > $i ).
tff(decl_130,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_131,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_132,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_133,type,
esk38_1: $i > $i ).
tff(decl_134,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_135,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_136,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_137,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_138,type,
esk43_1: $i > $i ).
tff(decl_139,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_140,type,
esk45_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_141,type,
esk46_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_142,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_143,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_144,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_145,type,
esk50_1: $i > $i ).
tff(decl_146,type,
esk51_1: $i > $i ).
tff(decl_147,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_148,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_149,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_150,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_151,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_152,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_153,type,
esk58_3: ( $i * $i * $i ) > $i ).
tff(decl_154,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_155,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_156,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_157,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk63_3: ( $i * $i * $i ) > $i ).
tff(decl_159,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_161,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_162,type,
esk67_3: ( $i * $i * $i ) > $i ).
tff(decl_163,type,
esk68_3: ( $i * $i * $i ) > $i ).
tff(decl_164,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_165,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_166,type,
esk71_3: ( $i * $i * $i ) > $i ).
tff(decl_167,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_168,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_169,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_170,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_171,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_172,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_173,type,
esk78_3: ( $i * $i * $i ) > $i ).
tff(decl_174,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_175,type,
esk80_1: $i > $i ).
tff(decl_176,type,
esk81_1: $i > $i ).
tff(decl_177,type,
esk82_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_178,type,
esk83_3: ( $i * $i * $i ) > $i ).
tff(decl_179,type,
esk84_3: ( $i * $i * $i ) > $i ).
tff(decl_180,type,
esk85_3: ( $i * $i * $i ) > $i ).
tff(decl_181,type,
esk86_2: ( $i * $i ) > $i ).
tff(decl_182,type,
esk87_2: ( $i * $i ) > $i ).
tff(decl_183,type,
esk88_2: ( $i * $i ) > $i ).
tff(decl_184,type,
esk89_3: ( $i * $i * $i ) > $i ).
tff(decl_185,type,
esk90_2: ( $i * $i ) > $i ).
tff(decl_186,type,
esk91_1: $i > $i ).
tff(decl_187,type,
esk92_2: ( $i * $i ) > $i ).
tff(decl_188,type,
esk93_1: $i > $i ).
tff(decl_189,type,
esk94_1: $i > $i ).
tff(decl_190,type,
esk95_1: $i > $i ).
tff(decl_191,type,
esk96_1: $i > $i ).
tff(decl_192,type,
esk97_2: ( $i * $i ) > $i ).
tff(decl_193,type,
esk98_1: $i > $i ).
tff(decl_194,type,
esk99_1: $i > $i ).
tff(decl_195,type,
esk100_1: $i > $i ).
tff(decl_196,type,
esk101_1: $i > $i ).
tff(decl_197,type,
esk102_2: ( $i * $i ) > $i ).
tff(decl_198,type,
esk103_0: $i ).
tff(decl_199,type,
esk104_0: $i ).
tff(decl_200,type,
esk105_0: $i ).
tff(decl_201,type,
esk106_2: ( $i * $i ) > $i ).
tff(decl_202,type,
esk107_0: $i ).
tff(decl_203,type,
esk108_0: $i ).
tff(decl_204,type,
esk109_0: $i ).
tff(decl_205,type,
esk110_1: $i > $i ).
tff(decl_206,type,
esk111_0: $i ).
tff(decl_207,type,
esk112_1: $i > $i ).
tff(decl_208,type,
esk113_0: $i ).
tff(decl_209,type,
esk114_0: $i ).
tff(decl_210,type,
esk115_2: ( $i * $i ) > $i ).
tff(decl_211,type,
esk116_0: $i ).
tff(decl_212,type,
esk117_1: $i > $i ).
tff(decl_213,type,
esk118_0: $i ).
tff(decl_214,type,
esk119_1: $i > $i ).
tff(decl_215,type,
esk120_0: $i ).
tff(decl_216,type,
esk121_0: $i ).
tff(decl_217,type,
esk122_0: $i ).
tff(decl_218,type,
esk123_0: $i ).
tff(decl_219,type,
esk124_2: ( $i * $i ) > $i ).
tff(decl_220,type,
esk125_2: ( $i * $i ) > $i ).
tff(decl_221,type,
esk126_2: ( $i * $i ) > $i ).
tff(decl_222,type,
esk127_2: ( $i * $i ) > $i ).
tff(decl_223,type,
esk128_2: ( $i * $i ) > $i ).
tff(decl_224,type,
esk129_2: ( $i * $i ) > $i ).
tff(decl_225,type,
esk130_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_226,type,
esk131_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_227,type,
esk132_1: $i > $i ).
tff(decl_228,type,
esk133_1: $i > $i ).
tff(decl_229,type,
esk134_1: $i > $i ).
tff(decl_230,type,
esk135_1: $i > $i ).
tff(decl_231,type,
esk136_1: $i > $i ).
tff(decl_232,type,
esk137_3: ( $i * $i * $i ) > $i ).
tff(decl_233,type,
esk138_2: ( $i * $i ) > $i ).
tff(decl_234,type,
esk139_2: ( $i * $i ) > $i ).
tff(decl_235,type,
esk140_2: ( $i * $i ) > $i ).
tff(decl_236,type,
esk141_2: ( $i * $i ) > $i ).
tff(decl_237,type,
esk142_2: ( $i * $i ) > $i ).
tff(decl_238,type,
esk143_2: ( $i * $i ) > $i ).
tff(decl_239,type,
esk144_3: ( $i * $i * $i ) > $i ).
tff(decl_240,type,
esk145_3: ( $i * $i * $i ) > $i ).
tff(decl_241,type,
esk146_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_242,type,
esk147_2: ( $i * $i ) > $i ).
tff(decl_243,type,
esk148_2: ( $i * $i ) > $i ).
tff(decl_244,type,
esk149_2: ( $i * $i ) > $i ).
tff(decl_245,type,
esk150_2: ( $i * $i ) > $i ).
tff(decl_246,type,
esk151_2: ( $i * $i ) > $i ).
tff(decl_247,type,
esk152_2: ( $i * $i ) > $i ).
tff(decl_248,type,
esk153_2: ( $i * $i ) > $i ).
tff(decl_249,type,
esk154_2: ( $i * $i ) > $i ).
tff(decl_250,type,
esk155_2: ( $i * $i ) > $i ).
tff(decl_251,type,
esk156_3: ( $i * $i * $i ) > $i ).
tff(decl_252,type,
esk157_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_253,type,
esk158_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_254,type,
esk159_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_255,type,
esk160_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_256,type,
esk161_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_257,type,
esk162_1: $i > $i ).
tff(decl_258,type,
esk163_1: $i > $i ).
tff(decl_259,type,
esk164_1: $i > $i ).
tff(decl_260,type,
esk165_1: $i > $i ).
tff(decl_261,type,
esk166_2: ( $i * $i ) > $i ).
tff(decl_262,type,
esk167_1: $i > $i ).
tff(decl_263,type,
esk168_1: $i > $i ).
tff(decl_264,type,
esk169_1: $i > $i ).
tff(decl_265,type,
esk170_1: $i > $i ).
tff(decl_266,type,
esk171_1: $i > $i ).
tff(decl_267,type,
esk172_1: $i > $i ).
tff(decl_268,type,
esk173_1: $i > $i ).
tff(decl_269,type,
esk174_2: ( $i * $i ) > $i ).
tff(decl_270,type,
esk175_3: ( $i * $i * $i ) > $i ).
tff(decl_271,type,
esk176_3: ( $i * $i * $i ) > $i ).
tff(decl_272,type,
esk177_3: ( $i * $i * $i ) > $i ).
tff(decl_273,type,
esk178_3: ( $i * $i * $i ) > $i ).
tff(decl_274,type,
esk179_3: ( $i * $i * $i ) > $i ).
tff(decl_275,type,
esk180_3: ( $i * $i * $i ) > $i ).
tff(decl_276,type,
esk181_3: ( $i * $i * $i ) > $i ).
tff(decl_277,type,
esk182_3: ( $i * $i * $i ) > $i ).
tff(decl_278,type,
esk183_3: ( $i * $i * $i ) > $i ).
tff(decl_279,type,
esk184_3: ( $i * $i * $i ) > $i ).
tff(decl_280,type,
esk185_3: ( $i * $i * $i ) > $i ).
tff(decl_281,type,
esk186_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_282,type,
esk187_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_283,type,
esk188_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_284,type,
esk189_0: $i ).
tff(decl_285,type,
esk190_0: $i ).
tff(decl_286,type,
esk191_0: $i ).
tff(decl_287,type,
esk192_1: $i > $i ).
tff(decl_288,type,
esk193_2: ( $i * $i ) > $i ).
tff(decl_289,type,
esk194_2: ( $i * $i ) > $i ).
tff(decl_290,type,
esk195_2: ( $i * $i ) > $i ).
tff(decl_291,type,
esk196_2: ( $i * $i ) > $i ).
tff(decl_292,type,
esk197_2: ( $i * $i ) > $i ).
tff(decl_293,type,
esk198_2: ( $i * $i ) > $i ).
tff(decl_294,type,
esk199_2: ( $i * $i ) > $i ).
tff(decl_295,type,
esk200_3: ( $i * $i * $i ) > $i ).
tff(decl_296,type,
esk201_3: ( $i * $i * $i ) > $i ).
tff(decl_297,type,
esk202_3: ( $i * $i * $i ) > $i ).
tff(decl_298,type,
esk203_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_299,type,
esk204_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_300,type,
esk205_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_301,type,
esk206_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_302,type,
esk207_2: ( $i * $i ) > $i ).
tff(decl_303,type,
esk208_3: ( $i * $i * $i ) > $i ).
tff(decl_304,type,
esk209_3: ( $i * $i * $i ) > $i ).
tff(decl_305,type,
esk210_3: ( $i * $i * $i ) > $i ).
tff(decl_306,type,
esk211_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_307,type,
esk212_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_308,type,
esk213_1: $i > $i ).
tff(decl_309,type,
esk214_2: ( $i * $i ) > $i ).
tff(decl_310,type,
esk215_3: ( $i * $i * $i ) > $i ).
tff(decl_311,type,
esk216_2: ( $i * $i ) > $i ).
tff(decl_312,type,
esk217_2: ( $i * $i ) > $i ).
tff(decl_313,type,
esk218_2: ( $i * $i ) > $i ).
tff(decl_314,type,
esk219_2: ( $i * $i ) > $i ).
tff(decl_315,type,
esk220_2: ( $i * $i ) > $i ).
tff(decl_316,type,
esk221_2: ( $i * $i ) > $i ).
tff(decl_317,type,
esk222_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_318,type,
esk223_2: ( $i * $i ) > $i ).
tff(decl_319,type,
esk224_3: ( $i * $i * $i ) > $i ).
tff(decl_320,type,
esk225_1: $i > $i ).
tff(decl_321,type,
esk226_1: $i > $i ).
tff(decl_322,type,
esk227_1: $i > $i ).
tff(decl_323,type,
esk228_1: $i > $i ).
tff(decl_324,type,
esk229_1: $i > $i ).
tff(decl_325,type,
esk230_1: $i > $i ).
tff(decl_326,type,
esk231_1: $i > $i ).
tff(decl_327,type,
esk232_3: ( $i * $i * $i ) > $i ).
tff(decl_328,type,
esk233_0: $i ).
tff(decl_329,type,
esk234_0: $i ).
tff(decl_330,type,
esk235_3: ( $i * $i * $i ) > $i ).
tff(decl_331,type,
esk236_3: ( $i * $i * $i ) > $i ).
tff(decl_332,type,
esk237_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_333,type,
esk238_3: ( $i * $i * $i ) > $i ).
tff(decl_334,type,
esk239_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_335,type,
esk240_1: $i > $i ).
tff(decl_336,type,
esk241_1: $i > $i ).
tff(decl_337,type,
esk242_1: $i > $i ).
tff(decl_338,type,
esk243_2: ( $i * $i ) > $i ).
tff(decl_339,type,
esk244_1: $i > $i ).
tff(decl_340,type,
esk245_2: ( $i * $i ) > $i ).
tff(decl_341,type,
esk246_2: ( $i * $i ) > $i ).
tff(decl_342,type,
esk247_2: ( $i * $i ) > $i ).
tff(decl_343,type,
esk248_1: $i > $i ).
tff(decl_344,type,
esk249_1: $i > $i ).
tff(decl_345,type,
esk250_2: ( $i * $i ) > $i ).
tff(decl_346,type,
esk251_2: ( $i * $i ) > $i ).
tff(decl_347,type,
esk252_2: ( $i * $i ) > $i ).
tff(decl_348,type,
esk253_2: ( $i * $i ) > $i ).
tff(decl_349,type,
esk254_2: ( $i * $i ) > $i ).
tff(decl_350,type,
esk255_1: $i > $i ).
tff(decl_351,type,
esk256_1: $i > $i ).
tff(decl_352,type,
esk257_3: ( $i * $i * $i ) > $i ).
tff(decl_353,type,
esk258_2: ( $i * $i ) > $i ).
tff(decl_354,type,
esk259_1: $i > $i ).
tff(decl_355,type,
esk260_2: ( $i * $i ) > $i ).
fof(t15_finset_1,conjecture,
! [X1,X2] :
( finite(X1)
=> finite(set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_finset_1) ).
fof(t48_xboole_1,lemma,
! [X1,X2] : set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(fc11_finset_1,axiom,
! [X1,X2] :
( finite(X1)
=> finite(set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc11_finset_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( finite(X1)
=> finite(set_intersection2(X1,X2)) ),
inference(assume_negation,[status(cth)],[t15_finset_1]) ).
fof(c_0_4,negated_conjecture,
( finite(esk233_0)
& ~ finite(set_intersection2(esk233_0,esk234_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,lemma,
! [X1153,X1154] : set_difference(X1153,set_difference(X1153,X1154)) = set_intersection2(X1153,X1154),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
fof(c_0_6,plain,
! [X497,X498] :
( ~ finite(X497)
| finite(set_intersection2(X497,X498)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc11_finset_1])]) ).
cnf(c_0_7,negated_conjecture,
~ finite(set_intersection2(esk233_0,esk234_0)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,lemma,
set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( finite(set_intersection2(X1,X2))
| ~ finite(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
~ finite(set_difference(esk233_0,set_difference(esk233_0,esk234_0))),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( finite(set_difference(X1,set_difference(X1,X2)))
| ~ finite(X1) ),
inference(rw,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
finite(esk233_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU295+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 14:24:30 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.54 start to proof: theBenchmark
% 0.94/1.03 % Version : CSE_E---1.5
% 0.94/1.03 % Problem : theBenchmark.p
% 0.94/1.03 % Proof found
% 0.94/1.03 % SZS status Theorem for theBenchmark.p
% 0.94/1.03 % SZS output start Proof
% See solution above
% 0.94/1.04 % Total time : 0.474000 s
% 0.94/1.04 % SZS output end Proof
% 0.94/1.04 % Total time : 0.487000 s
%------------------------------------------------------------------------------