TSTP Solution File: SEU291+2 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU291+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 : 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 16:24:09 EDT 2023
% Result : Theorem 0.61s 1.24s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 349
% Syntax : Number of formulae : 428 ( 35 unt; 330 typ; 0 def)
% Number of atoms : 260 ( 83 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 260 ( 98 ~; 99 |; 37 &)
% ( 10 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 662 ( 309 >; 353 *; 0 +; 0 <<)
% Number of predicates : 36 ( 34 usr; 1 prp; 0-3 aty)
% Number of functors : 296 ( 296 usr; 21 con; 0-7 aty)
% Number of variables : 155 ( 13 sgn; 92 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
proper_subset: ( $i * $i ) > $o ).
tff(decl_24,type,
empty: $i > $o ).
tff(decl_25,type,
function: $i > $o ).
tff(decl_26,type,
ordinal: $i > $o ).
tff(decl_27,type,
epsilon_transitive: $i > $o ).
tff(decl_28,type,
epsilon_connected: $i > $o ).
tff(decl_29,type,
relation: $i > $o ).
tff(decl_30,type,
cartesian_product2: ( $i * $i ) > $i ).
tff(decl_31,type,
powerset: $i > $i ).
tff(decl_32,type,
element: ( $i * $i ) > $o ).
tff(decl_33,type,
one_to_one: $i > $o ).
tff(decl_34,type,
unordered_pair: ( $i * $i ) > $i ).
tff(decl_35,type,
set_union2: ( $i * $i ) > $i ).
tff(decl_36,type,
set_intersection2: ( $i * $i ) > $i ).
tff(decl_37,type,
ordinal_subset: ( $i * $i ) > $o ).
tff(decl_38,type,
identity_relation: $i > $i ).
tff(decl_39,type,
ordered_pair: ( $i * $i ) > $i ).
tff(decl_40,type,
subset: ( $i * $i ) > $o ).
tff(decl_41,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff(decl_42,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_43,type,
relation_dom: $i > $i ).
tff(decl_44,type,
apply: ( $i * $i ) > $i ).
tff(decl_45,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff(decl_46,type,
antisymmetric: $i > $o ).
tff(decl_47,type,
relation_field: $i > $i ).
tff(decl_48,type,
is_antisymmetric_in: ( $i * $i ) > $o ).
tff(decl_49,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(decl_50,type,
connected: $i > $o ).
tff(decl_51,type,
is_connected_in: ( $i * $i ) > $o ).
tff(decl_52,type,
transitive: $i > $o ).
tff(decl_53,type,
is_transitive_in: ( $i * $i ) > $o ).
tff(decl_54,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
empty_set: $i ).
tff(decl_57,type,
quasi_total: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
pair_first: $i > $i ).
tff(decl_60,type,
succ: $i > $i ).
tff(decl_61,type,
singleton: $i > $i ).
tff(decl_62,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff(decl_63,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_64,type,
set_meet: $i > $i ).
tff(decl_65,type,
fiber: ( $i * $i ) > $i ).
tff(decl_66,type,
inclusion_relation: $i > $i ).
tff(decl_67,type,
pair_second: $i > $i ).
tff(decl_68,type,
well_founded_relation: $i > $o ).
tff(decl_69,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_70,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff(decl_71,type,
cast_to_subset: $i > $i ).
tff(decl_72,type,
union: $i > $i ).
tff(decl_73,type,
well_ordering: $i > $o ).
tff(decl_74,type,
reflexive: $i > $o ).
tff(decl_75,type,
equipotent: ( $i * $i ) > $o ).
tff(decl_76,type,
relation_rng: $i > $i ).
tff(decl_77,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_78,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_79,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_80,type,
being_limit_ordinal: $i > $o ).
tff(decl_81,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_82,type,
relation_inverse: $i > $i ).
tff(decl_83,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_84,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_85,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_86,type,
function_inverse: $i > $i ).
tff(decl_87,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_89,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_90,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
relation_empty_yielding: $i > $o ).
tff(decl_92,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_93,type,
epred1_2: ( $i * $i ) > $o ).
tff(decl_94,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_95,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_96,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_104,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_108,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_111,type,
esk18_1: $i > $i ).
tff(decl_112,type,
esk19_1: $i > $i ).
tff(decl_113,type,
esk20_1: $i > $i ).
tff(decl_114,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_115,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_116,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_117,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_118,type,
esk25_1: $i > $i ).
tff(decl_119,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_120,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_121,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_122,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_123,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_124,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_125,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_126,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_127,type,
esk34_1: $i > $i ).
tff(decl_128,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_129,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_130,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_131,type,
esk38_1: $i > $i ).
tff(decl_132,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_133,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_134,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_135,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_136,type,
esk43_1: $i > $i ).
tff(decl_137,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_138,type,
esk45_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_139,type,
esk46_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_140,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_141,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_142,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_143,type,
esk50_1: $i > $i ).
tff(decl_144,type,
esk51_1: $i > $i ).
tff(decl_145,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_146,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_147,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_148,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_149,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_150,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_151,type,
esk58_3: ( $i * $i * $i ) > $i ).
tff(decl_152,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_153,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_154,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_155,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_156,type,
esk63_3: ( $i * $i * $i ) > $i ).
tff(decl_157,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_159,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk67_3: ( $i * $i * $i ) > $i ).
tff(decl_161,type,
esk68_3: ( $i * $i * $i ) > $i ).
tff(decl_162,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk71_3: ( $i * $i * $i ) > $i ).
tff(decl_165,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_166,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_167,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_168,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_169,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_170,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_171,type,
esk78_3: ( $i * $i * $i ) > $i ).
tff(decl_172,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_173,type,
esk80_1: $i > $i ).
tff(decl_174,type,
esk81_1: $i > $i ).
tff(decl_175,type,
esk82_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_176,type,
esk83_3: ( $i * $i * $i ) > $i ).
tff(decl_177,type,
esk84_3: ( $i * $i * $i ) > $i ).
tff(decl_178,type,
esk85_3: ( $i * $i * $i ) > $i ).
tff(decl_179,type,
esk86_2: ( $i * $i ) > $i ).
tff(decl_180,type,
esk87_2: ( $i * $i ) > $i ).
tff(decl_181,type,
esk88_2: ( $i * $i ) > $i ).
tff(decl_182,type,
esk89_3: ( $i * $i * $i ) > $i ).
tff(decl_183,type,
esk90_2: ( $i * $i ) > $i ).
tff(decl_184,type,
esk91_1: $i > $i ).
tff(decl_185,type,
esk92_2: ( $i * $i ) > $i ).
tff(decl_186,type,
esk93_1: $i > $i ).
tff(decl_187,type,
esk94_1: $i > $i ).
tff(decl_188,type,
esk95_1: $i > $i ).
tff(decl_189,type,
esk96_1: $i > $i ).
tff(decl_190,type,
esk97_2: ( $i * $i ) > $i ).
tff(decl_191,type,
esk98_1: $i > $i ).
tff(decl_192,type,
esk99_1: $i > $i ).
tff(decl_193,type,
esk100_1: $i > $i ).
tff(decl_194,type,
esk101_1: $i > $i ).
tff(decl_195,type,
esk102_2: ( $i * $i ) > $i ).
tff(decl_196,type,
esk103_0: $i ).
tff(decl_197,type,
esk104_2: ( $i * $i ) > $i ).
tff(decl_198,type,
esk105_0: $i ).
tff(decl_199,type,
esk106_0: $i ).
tff(decl_200,type,
esk107_0: $i ).
tff(decl_201,type,
esk108_1: $i > $i ).
tff(decl_202,type,
esk109_0: $i ).
tff(decl_203,type,
esk110_0: $i ).
tff(decl_204,type,
esk111_0: $i ).
tff(decl_205,type,
esk112_2: ( $i * $i ) > $i ).
tff(decl_206,type,
esk113_0: $i ).
tff(decl_207,type,
esk114_1: $i > $i ).
tff(decl_208,type,
esk115_0: $i ).
tff(decl_209,type,
esk116_0: $i ).
tff(decl_210,type,
esk117_0: $i ).
tff(decl_211,type,
esk118_0: $i ).
tff(decl_212,type,
esk119_0: $i ).
tff(decl_213,type,
esk120_2: ( $i * $i ) > $i ).
tff(decl_214,type,
esk121_2: ( $i * $i ) > $i ).
tff(decl_215,type,
esk122_2: ( $i * $i ) > $i ).
tff(decl_216,type,
esk123_2: ( $i * $i ) > $i ).
tff(decl_217,type,
esk124_2: ( $i * $i ) > $i ).
tff(decl_218,type,
esk125_2: ( $i * $i ) > $i ).
tff(decl_219,type,
esk126_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_220,type,
esk127_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_221,type,
esk128_1: $i > $i ).
tff(decl_222,type,
esk129_1: $i > $i ).
tff(decl_223,type,
esk130_1: $i > $i ).
tff(decl_224,type,
esk131_1: $i > $i ).
tff(decl_225,type,
esk132_1: $i > $i ).
tff(decl_226,type,
esk133_3: ( $i * $i * $i ) > $i ).
tff(decl_227,type,
esk134_2: ( $i * $i ) > $i ).
tff(decl_228,type,
esk135_2: ( $i * $i ) > $i ).
tff(decl_229,type,
esk136_2: ( $i * $i ) > $i ).
tff(decl_230,type,
esk137_2: ( $i * $i ) > $i ).
tff(decl_231,type,
esk138_2: ( $i * $i ) > $i ).
tff(decl_232,type,
esk139_2: ( $i * $i ) > $i ).
tff(decl_233,type,
esk140_3: ( $i * $i * $i ) > $i ).
tff(decl_234,type,
esk141_3: ( $i * $i * $i ) > $i ).
tff(decl_235,type,
esk142_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_236,type,
esk143_2: ( $i * $i ) > $i ).
tff(decl_237,type,
esk144_2: ( $i * $i ) > $i ).
tff(decl_238,type,
esk145_2: ( $i * $i ) > $i ).
tff(decl_239,type,
esk146_2: ( $i * $i ) > $i ).
tff(decl_240,type,
esk147_2: ( $i * $i ) > $i ).
tff(decl_241,type,
esk148_2: ( $i * $i ) > $i ).
tff(decl_242,type,
esk149_2: ( $i * $i ) > $i ).
tff(decl_243,type,
esk150_2: ( $i * $i ) > $i ).
tff(decl_244,type,
esk151_2: ( $i * $i ) > $i ).
tff(decl_245,type,
esk152_3: ( $i * $i * $i ) > $i ).
tff(decl_246,type,
esk153_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_247,type,
esk154_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_248,type,
esk155_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_249,type,
esk156_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_250,type,
esk157_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_251,type,
esk158_1: $i > $i ).
tff(decl_252,type,
esk159_1: $i > $i ).
tff(decl_253,type,
esk160_1: $i > $i ).
tff(decl_254,type,
esk161_1: $i > $i ).
tff(decl_255,type,
esk162_2: ( $i * $i ) > $i ).
tff(decl_256,type,
esk163_1: $i > $i ).
tff(decl_257,type,
esk164_1: $i > $i ).
tff(decl_258,type,
esk165_1: $i > $i ).
tff(decl_259,type,
esk166_1: $i > $i ).
tff(decl_260,type,
esk167_1: $i > $i ).
tff(decl_261,type,
esk168_1: $i > $i ).
tff(decl_262,type,
esk169_1: $i > $i ).
tff(decl_263,type,
esk170_2: ( $i * $i ) > $i ).
tff(decl_264,type,
esk171_3: ( $i * $i * $i ) > $i ).
tff(decl_265,type,
esk172_3: ( $i * $i * $i ) > $i ).
tff(decl_266,type,
esk173_3: ( $i * $i * $i ) > $i ).
tff(decl_267,type,
esk174_3: ( $i * $i * $i ) > $i ).
tff(decl_268,type,
esk175_3: ( $i * $i * $i ) > $i ).
tff(decl_269,type,
esk176_3: ( $i * $i * $i ) > $i ).
tff(decl_270,type,
esk177_3: ( $i * $i * $i ) > $i ).
tff(decl_271,type,
esk178_3: ( $i * $i * $i ) > $i ).
tff(decl_272,type,
esk179_3: ( $i * $i * $i ) > $i ).
tff(decl_273,type,
esk180_3: ( $i * $i * $i ) > $i ).
tff(decl_274,type,
esk181_3: ( $i * $i * $i ) > $i ).
tff(decl_275,type,
esk182_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_276,type,
esk183_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_277,type,
esk184_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_278,type,
esk185_0: $i ).
tff(decl_279,type,
esk186_0: $i ).
tff(decl_280,type,
esk187_0: $i ).
tff(decl_281,type,
esk188_1: $i > $i ).
tff(decl_282,type,
esk189_2: ( $i * $i ) > $i ).
tff(decl_283,type,
esk190_2: ( $i * $i ) > $i ).
tff(decl_284,type,
esk191_2: ( $i * $i ) > $i ).
tff(decl_285,type,
esk192_2: ( $i * $i ) > $i ).
tff(decl_286,type,
esk193_2: ( $i * $i ) > $i ).
tff(decl_287,type,
esk194_2: ( $i * $i ) > $i ).
tff(decl_288,type,
esk195_2: ( $i * $i ) > $i ).
tff(decl_289,type,
esk196_3: ( $i * $i * $i ) > $i ).
tff(decl_290,type,
esk197_3: ( $i * $i * $i ) > $i ).
tff(decl_291,type,
esk198_3: ( $i * $i * $i ) > $i ).
tff(decl_292,type,
esk199_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_293,type,
esk200_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_294,type,
esk201_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_295,type,
esk202_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_296,type,
esk203_2: ( $i * $i ) > $i ).
tff(decl_297,type,
esk204_3: ( $i * $i * $i ) > $i ).
tff(decl_298,type,
esk205_3: ( $i * $i * $i ) > $i ).
tff(decl_299,type,
esk206_3: ( $i * $i * $i ) > $i ).
tff(decl_300,type,
esk207_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_301,type,
esk208_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_302,type,
esk209_1: $i > $i ).
tff(decl_303,type,
esk210_2: ( $i * $i ) > $i ).
tff(decl_304,type,
esk211_3: ( $i * $i * $i ) > $i ).
tff(decl_305,type,
esk212_2: ( $i * $i ) > $i ).
tff(decl_306,type,
esk213_2: ( $i * $i ) > $i ).
tff(decl_307,type,
esk214_2: ( $i * $i ) > $i ).
tff(decl_308,type,
esk215_2: ( $i * $i ) > $i ).
tff(decl_309,type,
esk216_2: ( $i * $i ) > $i ).
tff(decl_310,type,
esk217_2: ( $i * $i ) > $i ).
tff(decl_311,type,
esk218_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_312,type,
esk219_2: ( $i * $i ) > $i ).
tff(decl_313,type,
esk220_3: ( $i * $i * $i ) > $i ).
tff(decl_314,type,
esk221_1: $i > $i ).
tff(decl_315,type,
esk222_1: $i > $i ).
tff(decl_316,type,
esk223_1: $i > $i ).
tff(decl_317,type,
esk224_1: $i > $i ).
tff(decl_318,type,
esk225_1: $i > $i ).
tff(decl_319,type,
esk226_1: $i > $i ).
tff(decl_320,type,
esk227_1: $i > $i ).
tff(decl_321,type,
esk228_3: ( $i * $i * $i ) > $i ).
tff(decl_322,type,
esk229_3: ( $i * $i * $i ) > $i ).
tff(decl_323,type,
esk230_3: ( $i * $i * $i ) > $i ).
tff(decl_324,type,
esk231_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_325,type,
esk232_3: ( $i * $i * $i ) > $i ).
tff(decl_326,type,
esk233_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_327,type,
esk234_1: $i > $i ).
tff(decl_328,type,
esk235_1: $i > $i ).
tff(decl_329,type,
esk236_1: $i > $i ).
tff(decl_330,type,
esk237_2: ( $i * $i ) > $i ).
tff(decl_331,type,
esk238_1: $i > $i ).
tff(decl_332,type,
esk239_2: ( $i * $i ) > $i ).
tff(decl_333,type,
esk240_2: ( $i * $i ) > $i ).
tff(decl_334,type,
esk241_2: ( $i * $i ) > $i ).
tff(decl_335,type,
esk242_1: $i > $i ).
tff(decl_336,type,
esk243_1: $i > $i ).
tff(decl_337,type,
esk244_2: ( $i * $i ) > $i ).
tff(decl_338,type,
esk245_2: ( $i * $i ) > $i ).
tff(decl_339,type,
esk246_2: ( $i * $i ) > $i ).
tff(decl_340,type,
esk247_2: ( $i * $i ) > $i ).
tff(decl_341,type,
esk248_2: ( $i * $i ) > $i ).
tff(decl_342,type,
esk249_1: $i > $i ).
tff(decl_343,type,
esk250_1: $i > $i ).
tff(decl_344,type,
esk251_3: ( $i * $i * $i ) > $i ).
tff(decl_345,type,
esk252_2: ( $i * $i ) > $i ).
tff(decl_346,type,
esk253_0: $i ).
tff(decl_347,type,
esk254_0: $i ).
tff(decl_348,type,
esk255_0: $i ).
tff(decl_349,type,
esk256_0: $i ).
tff(decl_350,type,
esk257_1: $i > $i ).
tff(decl_351,type,
esk258_2: ( $i * $i ) > $i ).
fof(t9_funct_2,conjecture,
! [X1,X2,X3,X4] :
( ( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2) )
=> ( subset(X2,X3)
=> ( ( X2 = empty_set
& X1 != empty_set )
| ( function(X4)
& quasi_total(X4,X1,X3)
& relation_of2_as_subset(X4,X1,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_funct_2) ).
fof(t16_relset_1,lemma,
! [X1,X2,X3,X4] :
( relation_of2_as_subset(X4,X3,X1)
=> ( subset(X1,X2)
=> relation_of2_as_subset(X4,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(d1_zfmisc_1,axiom,
! [X1,X2] :
( X2 = powerset(X1)
<=> ! [X3] :
( in(X3,X2)
<=> subset(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(t12_relset_1,lemma,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( subset(relation_dom(X3),X1)
& subset(relation_rng(X3),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(redefinition_k4_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
=> relation_dom_as_subset(X1,X2,X3) = relation_dom(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(d1_funct_2,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( ( ( X2 = empty_set
=> X1 = empty_set )
=> ( quasi_total(X3,X1,X2)
<=> X1 = relation_dom_as_subset(X1,X2,X3) ) )
& ( X2 = empty_set
=> ( X1 = empty_set
| ( quasi_total(X3,X1,X2)
<=> X3 = empty_set ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_funct_2) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(l32_xboole_1,lemma,
! [X1,X2] :
( set_difference(X1,X2) = empty_set
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_xboole_1) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(d1_xboole_0,axiom,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(d1_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
<=> subset(X3,cartesian_product2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relset_1) ).
fof(t3_boole,axiom,
! [X1] : set_difference(X1,empty_set) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(t2_xboole_1,lemma,
! [X1] : subset(empty_set,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( element(X3,powerset(cartesian_product2(X1,X2)))
=> relation(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(t64_relat_1,lemma,
! [X1] :
( relation(X1)
=> ( ( relation_dom(X1) = empty_set
| relation_rng(X1) = empty_set )
=> X1 = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relat_1) ).
fof(fc12_relat_1,axiom,
( empty(empty_set)
& relation(empty_set)
& relation_empty_yielding(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(t60_relat_1,lemma,
( relation_dom(empty_set) = empty_set
& relation_rng(empty_set) = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_relat_1) ).
fof(c_0_19,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2) )
=> ( subset(X2,X3)
=> ( ( X2 = empty_set
& X1 != empty_set )
| ( function(X4)
& quasi_total(X4,X1,X3)
& relation_of2_as_subset(X4,X1,X3) ) ) ) ),
inference(assume_negation,[status(cth)],[t9_funct_2]) ).
fof(c_0_20,lemma,
! [X937,X938,X939,X940] :
( ~ relation_of2_as_subset(X940,X939,X937)
| ~ subset(X937,X938)
| relation_of2_as_subset(X940,X939,X938) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_relset_1])]) ).
fof(c_0_21,negated_conjecture,
( function(esk256_0)
& quasi_total(esk256_0,esk253_0,esk254_0)
& relation_of2_as_subset(esk256_0,esk253_0,esk254_0)
& subset(esk254_0,esk255_0)
& ( esk254_0 != empty_set
| esk253_0 = empty_set )
& ( ~ function(esk256_0)
| ~ quasi_total(esk256_0,esk253_0,esk255_0)
| ~ relation_of2_as_subset(esk256_0,esk253_0,esk255_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_22,lemma,
( relation_of2_as_subset(X1,X2,X4)
| ~ relation_of2_as_subset(X1,X2,X3)
| ~ subset(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_23,negated_conjecture,
relation_of2_as_subset(esk256_0,esk253_0,esk254_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_24,plain,
! [X627,X628,X629] :
( ( ~ relation_of2_as_subset(X629,X627,X628)
| relation_of2(X629,X627,X628) )
& ( ~ relation_of2(X629,X627,X628)
| relation_of2_as_subset(X629,X627,X628) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_25,negated_conjecture,
( relation_of2_as_subset(esk256_0,esk253_0,X1)
| ~ subset(esk254_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
subset(esk254_0,esk255_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_27,plain,
! [X201,X202,X203,X204,X205,X206] :
( ( ~ in(X203,X202)
| subset(X203,X201)
| X202 != powerset(X201) )
& ( ~ subset(X204,X201)
| in(X204,X202)
| X202 != powerset(X201) )
& ( ~ in(esk35_2(X205,X206),X206)
| ~ subset(esk35_2(X205,X206),X205)
| X206 = powerset(X205) )
& ( in(esk35_2(X205,X206),X206)
| subset(esk35_2(X205,X206),X205)
| X206 = powerset(X205) ) ),
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)],[d1_zfmisc_1])])])])])]) ).
fof(c_0_28,lemma,
! [X894,X895,X896] :
( ( subset(relation_dom(X896),X894)
| ~ relation_of2_as_subset(X896,X894,X895) )
& ( subset(relation_rng(X896),X895)
| ~ relation_of2_as_subset(X896,X894,X895) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_relset_1])])]) ).
fof(c_0_29,plain,
! [X614,X615,X616] :
( ~ relation_of2(X616,X614,X615)
| relation_dom_as_subset(X614,X615,X616) = relation_dom(X616) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])]) ).
cnf(c_0_30,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
relation_of2_as_subset(esk256_0,esk253_0,esk255_0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( ~ function(esk256_0)
| ~ quasi_total(esk256_0,esk253_0,esk255_0)
| ~ relation_of2_as_subset(esk256_0,esk253_0,esk255_0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,negated_conjecture,
function(esk256_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,plain,
( in(X1,X3)
| ~ subset(X1,X2)
| X3 != powerset(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,lemma,
( subset(relation_rng(X1),X2)
| ~ relation_of2_as_subset(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_36,plain,
! [X134,X135,X136] :
( ( ~ quasi_total(X136,X134,X135)
| X134 = relation_dom_as_subset(X134,X135,X136)
| X135 = empty_set
| ~ relation_of2_as_subset(X136,X134,X135) )
& ( X134 != relation_dom_as_subset(X134,X135,X136)
| quasi_total(X136,X134,X135)
| X135 = empty_set
| ~ relation_of2_as_subset(X136,X134,X135) )
& ( ~ quasi_total(X136,X134,X135)
| X134 = relation_dom_as_subset(X134,X135,X136)
| X134 != empty_set
| ~ relation_of2_as_subset(X136,X134,X135) )
& ( X134 != relation_dom_as_subset(X134,X135,X136)
| quasi_total(X136,X134,X135)
| X134 != empty_set
| ~ relation_of2_as_subset(X136,X134,X135) )
& ( ~ quasi_total(X136,X134,X135)
| X136 = empty_set
| X134 = empty_set
| X135 != empty_set
| ~ relation_of2_as_subset(X136,X134,X135) )
& ( X136 != empty_set
| quasi_total(X136,X134,X135)
| X134 = empty_set
| X135 != empty_set
| ~ relation_of2_as_subset(X136,X134,X135) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_funct_2])])]) ).
cnf(c_0_37,plain,
( relation_dom_as_subset(X2,X3,X1) = relation_dom(X1)
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,negated_conjecture,
relation_of2(esk256_0,esk253_0,esk255_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
( ~ quasi_total(esk256_0,esk253_0,esk255_0)
| ~ relation_of2_as_subset(esk256_0,esk253_0,esk255_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).
cnf(c_0_40,negated_conjecture,
relation_of2(esk256_0,esk253_0,esk254_0),
inference(spm,[status(thm)],[c_0_30,c_0_23]) ).
fof(c_0_41,plain,
! [X962,X963] :
( ~ in(X962,X963)
| element(X962,X963) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_42,plain,
( in(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
subset(relation_rng(esk256_0),esk254_0),
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
fof(c_0_44,lemma,
! [X559,X560] :
( ( set_difference(X559,X560) != empty_set
| subset(X559,X560) )
& ( ~ subset(X559,X560)
| set_difference(X559,X560) = empty_set ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l32_xboole_1])]) ).
cnf(c_0_45,plain,
( quasi_total(X3,X1,X2)
| X2 = empty_set
| X1 != relation_dom_as_subset(X1,X2,X3)
| ~ relation_of2_as_subset(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,negated_conjecture,
relation_dom_as_subset(esk253_0,esk255_0,esk256_0) = relation_dom(esk256_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,negated_conjecture,
~ quasi_total(esk256_0,esk253_0,esk255_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_31])]) ).
cnf(c_0_48,plain,
( X2 = relation_dom_as_subset(X2,X3,X1)
| X3 = empty_set
| ~ quasi_total(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,negated_conjecture,
quasi_total(esk256_0,esk253_0,esk254_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_50,negated_conjecture,
relation_dom_as_subset(esk253_0,esk254_0,esk256_0) = relation_dom(esk256_0),
inference(spm,[status(thm)],[c_0_37,c_0_40]) ).
fof(c_0_51,plain,
! [X1167,X1168,X1169] :
( ~ in(X1167,X1168)
| ~ element(X1168,powerset(X1169))
| ~ empty(X1169) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_52,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_53,negated_conjecture,
in(relation_rng(esk256_0),powerset(esk254_0)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_54,plain,
! [X1] :
( X1 = empty_set
<=> ! [X2] : ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[d1_xboole_0]) ).
fof(c_0_55,plain,
! [X160,X161,X162] :
( ( ~ relation_of2(X162,X160,X161)
| subset(X162,cartesian_product2(X160,X161)) )
& ( ~ subset(X162,cartesian_product2(X160,X161))
| relation_of2(X162,X160,X161) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relset_1])]) ).
cnf(c_0_56,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_57,negated_conjecture,
( esk255_0 = empty_set
| relation_dom(esk256_0) != esk253_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_31])]),c_0_47]) ).
cnf(c_0_58,negated_conjecture,
( relation_dom(esk256_0) = esk253_0
| esk254_0 = empty_set ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_23])]) ).
fof(c_0_59,plain,
! [X1080] : set_difference(X1080,empty_set) = X1080,
inference(variable_rename,[status(thm)],[t3_boole]) ).
cnf(c_0_60,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,negated_conjecture,
element(relation_rng(esk256_0),powerset(esk254_0)),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_62,plain,
! [X197,X198,X199] :
( ( X197 != empty_set
| ~ in(X198,X197) )
& ( in(esk34_1(X199),X199)
| X199 = empty_set ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])])]) ).
fof(c_0_63,plain,
! [X1084,X1085] :
( ( ~ element(X1084,powerset(X1085))
| subset(X1084,X1085) )
& ( ~ subset(X1084,X1085)
| element(X1084,powerset(X1085)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_64,plain,
( subset(X1,cartesian_product2(X2,X3))
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_65,lemma,
! [X1035] : subset(empty_set,X1035),
inference(variable_rename,[status(thm)],[t2_xboole_1]) ).
cnf(c_0_66,negated_conjecture,
set_difference(esk254_0,esk255_0) = empty_set,
inference(spm,[status(thm)],[c_0_56,c_0_26]) ).
cnf(c_0_67,negated_conjecture,
( esk254_0 = empty_set
| esk255_0 = empty_set ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,plain,
set_difference(X1,empty_set) = X1,
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_69,negated_conjecture,
( ~ empty(esk254_0)
| ~ in(X1,relation_rng(esk256_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,plain,
( in(esk34_1(X1),X1)
| X1 = empty_set ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_71,plain,
! [X26,X27,X28] :
( ~ element(X28,powerset(cartesian_product2(X26,X27)))
| relation(X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
cnf(c_0_72,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_73,negated_conjecture,
subset(esk256_0,cartesian_product2(esk253_0,esk254_0)),
inference(spm,[status(thm)],[c_0_64,c_0_40]) ).
cnf(c_0_74,plain,
( relation_of2(X1,X2,X3)
| ~ subset(X1,cartesian_product2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_75,lemma,
subset(empty_set,X1),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_76,negated_conjecture,
( esk253_0 = empty_set
| esk254_0 != empty_set ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_77,negated_conjecture,
esk254_0 = empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
fof(c_0_78,lemma,
! [X1178] :
( ( relation_dom(X1178) != empty_set
| X1178 = empty_set
| ~ relation(X1178) )
& ( relation_rng(X1178) != empty_set
| X1178 = empty_set
| ~ relation(X1178) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t64_relat_1])])]) ).
cnf(c_0_79,negated_conjecture,
( relation_rng(esk256_0) = empty_set
| ~ empty(esk254_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_80,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc12_relat_1]) ).
cnf(c_0_81,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_82,negated_conjecture,
element(esk256_0,powerset(cartesian_product2(esk253_0,esk254_0))),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_83,plain,
( quasi_total(X3,X1,X2)
| X1 != relation_dom_as_subset(X1,X2,X3)
| X1 != empty_set
| ~ relation_of2_as_subset(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_84,lemma,
relation_of2(empty_set,X1,X2),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_85,lemma,
relation_dom(empty_set) = empty_set,
inference(split_conjunct,[status(thm)],[t60_relat_1]) ).
cnf(c_0_86,plain,
( relation_of2_as_subset(X1,X2,X3)
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_87,negated_conjecture,
esk253_0 = empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77])]) ).
cnf(c_0_88,lemma,
( X1 = empty_set
| relation_rng(X1) != empty_set
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_89,negated_conjecture,
relation_rng(esk256_0) = empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_77]),c_0_80])]) ).
cnf(c_0_90,negated_conjecture,
relation(esk256_0),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_91,plain,
( quasi_total(X1,empty_set,X2)
| relation_dom_as_subset(empty_set,X2,X1) != empty_set
| ~ relation_of2_as_subset(X1,empty_set,X2) ),
inference(er,[status(thm)],[c_0_83]) ).
cnf(c_0_92,lemma,
relation_dom_as_subset(X1,X2,empty_set) = empty_set,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_84]),c_0_85]) ).
cnf(c_0_93,lemma,
relation_of2_as_subset(empty_set,X1,X2),
inference(spm,[status(thm)],[c_0_86,c_0_84]) ).
cnf(c_0_94,negated_conjecture,
~ quasi_total(esk256_0,empty_set,esk255_0),
inference(rw,[status(thm)],[c_0_47,c_0_87]) ).
cnf(c_0_95,lemma,
esk256_0 = empty_set,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
cnf(c_0_96,lemma,
quasi_total(empty_set,empty_set,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
cnf(c_0_97,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95]),c_0_96])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU291+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/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 : Thu Aug 24 00:09:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.61/1.24 % Version : CSE_E---1.5
% 0.61/1.24 % Problem : theBenchmark.p
% 0.61/1.24 % Proof found
% 0.61/1.24 % SZS status Theorem for theBenchmark.p
% 0.61/1.24 % SZS output start Proof
% See solution above
% 0.61/1.26 % Total time : 0.644000 s
% 0.61/1.26 % SZS output end Proof
% 0.61/1.26 % Total time : 0.657000 s
%------------------------------------------------------------------------------