TSTP Solution File: SEU293+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU293+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 16:24:11 EDT 2023
% Result : Theorem 21.39s 21.62s
% Output : CNFRefutation 21.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 345
% Syntax : Number of formulae : 402 ( 17 unt; 331 typ; 0 def)
% Number of atoms : 257 ( 46 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 299 ( 113 ~; 122 |; 35 &)
% ( 12 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 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 : 297 ( 297 usr; 22 con; 0-7 aty)
% Number of variables : 146 ( 4 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_0: $i ).
tff(decl_338,type,
esk245_0: $i ).
tff(decl_339,type,
esk246_0: $i ).
tff(decl_340,type,
esk247_0: $i ).
tff(decl_341,type,
esk248_0: $i ).
tff(decl_342,type,
esk249_2: ( $i * $i ) > $i ).
tff(decl_343,type,
esk250_2: ( $i * $i ) > $i ).
tff(decl_344,type,
esk251_2: ( $i * $i ) > $i ).
tff(decl_345,type,
esk252_2: ( $i * $i ) > $i ).
tff(decl_346,type,
esk253_2: ( $i * $i ) > $i ).
tff(decl_347,type,
esk254_1: $i > $i ).
tff(decl_348,type,
esk255_1: $i > $i ).
tff(decl_349,type,
esk256_3: ( $i * $i * $i ) > $i ).
tff(decl_350,type,
esk257_2: ( $i * $i ) > $i ).
tff(decl_351,type,
esk258_1: $i > $i ).
tff(decl_352,type,
esk259_2: ( $i * $i ) > $i ).
fof(t46_funct_2,conjecture,
! [X1,X2,X3,X4] :
( ( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2) )
=> ( X2 != empty_set
=> ! [X5] :
( in(X5,relation_inverse_image(X4,X3))
<=> ( in(X5,X1)
& in(apply(X4,X5),X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_funct_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t12_relset_1) ).
fof(d1_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2(X3,X1,X2)
<=> subset(X3,cartesian_product2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relset_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
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/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( element(X3,powerset(cartesian_product2(X1,X2)))
=> relation(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(l3_subset_1,lemma,
! [X1,X2] :
( element(X2,powerset(X1))
=> ! [X3] :
( in(X3,X2)
=> in(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_subset_1) ).
fof(d13_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,relation_dom(X1))
& in(apply(X1,X4),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_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/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(t167_relat_1,lemma,
! [X1,X2] :
( relation(X2)
=> subset(relation_inverse_image(X2,X1),relation_dom(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t167_relat_1) ).
fof(c_0_14,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( function(X4)
& quasi_total(X4,X1,X2)
& relation_of2_as_subset(X4,X1,X2) )
=> ( X2 != empty_set
=> ! [X5] :
( in(X5,relation_inverse_image(X4,X3))
<=> ( in(X5,X1)
& in(apply(X4,X5),X3) ) ) ) ),
inference(assume_negation,[status(cth)],[t46_funct_2]) ).
fof(c_0_15,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])]) ).
fof(c_0_16,negated_conjecture,
( function(esk247_0)
& quasi_total(esk247_0,esk244_0,esk245_0)
& relation_of2_as_subset(esk247_0,esk244_0,esk245_0)
& esk245_0 != empty_set
& ( ~ in(esk248_0,relation_inverse_image(esk247_0,esk246_0))
| ~ in(esk248_0,esk244_0)
| ~ in(apply(esk247_0,esk248_0),esk246_0) )
& ( in(esk248_0,esk244_0)
| in(esk248_0,relation_inverse_image(esk247_0,esk246_0)) )
& ( in(apply(esk247_0,esk248_0),esk246_0)
| in(esk248_0,relation_inverse_image(esk247_0,esk246_0)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_17,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_18,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_19,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_20,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
relation_of2_as_subset(esk247_0,esk244_0,esk245_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( in(X1,X3)
| ~ subset(X1,X2)
| X3 != powerset(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,lemma,
( subset(relation_dom(X1),X2)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [X1089,X1090] :
( ( ~ element(X1089,powerset(X1090))
| subset(X1089,X1090) )
& ( ~ subset(X1089,X1090)
| element(X1089,powerset(X1090)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_25,plain,
( subset(X1,cartesian_product2(X2,X3))
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
relation_of2(esk247_0,esk244_0,esk245_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_27,plain,
! [X962,X963] :
( ~ in(X962,X963)
| element(X962,X963) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_28,plain,
( in(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
subset(relation_dom(esk247_0),esk244_0),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
fof(c_0_30,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])]) ).
fof(c_0_31,plain,
! [X283,X284,X285,X286,X287] :
( ( ~ subset(X283,X284)
| ~ in(X285,X283)
| in(X285,X284) )
& ( in(esk54_2(X286,X287),X286)
| subset(X286,X287) )
& ( ~ in(esk54_2(X286,X287),X287)
| subset(X286,X287) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
fof(c_0_32,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_33,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,negated_conjecture,
subset(esk247_0,cartesian_product2(esk244_0,esk245_0)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_35,lemma,
! [X561,X562,X563] :
( ~ element(X562,powerset(X561))
| ~ in(X563,X562)
| in(X563,X561) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l3_subset_1])])]) ).
cnf(c_0_36,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,negated_conjecture,
in(relation_dom(esk247_0),powerset(esk244_0)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_38,plain,
! [X81,X82,X83,X84,X85,X86,X87] :
( ( in(X84,relation_dom(X81))
| ~ in(X84,X83)
| X83 != relation_inverse_image(X81,X82)
| ~ relation(X81)
| ~ function(X81) )
& ( in(apply(X81,X84),X82)
| ~ in(X84,X83)
| X83 != relation_inverse_image(X81,X82)
| ~ relation(X81)
| ~ function(X81) )
& ( ~ in(X85,relation_dom(X81))
| ~ in(apply(X81,X85),X82)
| in(X85,X83)
| X83 != relation_inverse_image(X81,X82)
| ~ relation(X81)
| ~ function(X81) )
& ( ~ in(esk10_3(X81,X86,X87),X87)
| ~ in(esk10_3(X81,X86,X87),relation_dom(X81))
| ~ in(apply(X81,esk10_3(X81,X86,X87)),X86)
| X87 = relation_inverse_image(X81,X86)
| ~ relation(X81)
| ~ function(X81) )
& ( in(esk10_3(X81,X86,X87),relation_dom(X81))
| in(esk10_3(X81,X86,X87),X87)
| X87 = relation_inverse_image(X81,X86)
| ~ relation(X81)
| ~ function(X81) )
& ( in(apply(X81,esk10_3(X81,X86,X87)),X86)
| in(esk10_3(X81,X86,X87),X87)
| X87 = relation_inverse_image(X81,X86)
| ~ relation(X81)
| ~ function(X81) ) ),
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)],[d13_funct_1])])])])])]) ).
fof(c_0_39,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_40,plain,
( relation_dom_as_subset(X2,X3,X1) = relation_dom(X1)
| ~ relation_of2(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,negated_conjecture,
( in(esk248_0,esk244_0)
| in(esk248_0,relation_inverse_image(esk247_0,esk246_0)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_43,lemma,
! [X935,X936] :
( ~ relation(X936)
| subset(relation_inverse_image(X936,X935),relation_dom(X936)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t167_relat_1])]) ).
cnf(c_0_44,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,negated_conjecture,
element(esk247_0,powerset(cartesian_product2(esk244_0,esk245_0))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_46,lemma,
( in(X3,X2)
| ~ element(X1,powerset(X2))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,negated_conjecture,
element(relation_dom(esk247_0),powerset(esk244_0)),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_48,plain,
( in(X1,X4)
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),X3)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,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_39]) ).
cnf(c_0_50,negated_conjecture,
quasi_total(esk247_0,esk244_0,esk245_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_51,negated_conjecture,
relation_dom_as_subset(esk244_0,esk245_0,esk247_0) = relation_dom(esk247_0),
inference(spm,[status(thm)],[c_0_40,c_0_26]) ).
cnf(c_0_52,negated_conjecture,
esk245_0 != empty_set,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_53,negated_conjecture,
( in(esk248_0,esk244_0)
| in(esk248_0,X1)
| ~ subset(relation_inverse_image(esk247_0,esk246_0),X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_54,lemma,
( subset(relation_inverse_image(X1,X2),relation_dom(X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_55,negated_conjecture,
relation(esk247_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_56,negated_conjecture,
( in(X1,esk244_0)
| ~ in(X1,relation_dom(esk247_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,plain,
( in(apply(X1,X2),X3)
| ~ in(X2,X4)
| X4 != relation_inverse_image(X1,X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_58,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ function(X2)
| ~ in(apply(X2,X1),X3)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_59,negated_conjecture,
relation_dom(esk247_0) = esk244_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_21])]),c_0_52]) ).
cnf(c_0_60,negated_conjecture,
function(esk247_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_61,negated_conjecture,
( ~ in(esk248_0,relation_inverse_image(esk247_0,esk246_0))
| ~ in(esk248_0,esk244_0)
| ~ in(apply(esk247_0,esk248_0),esk246_0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_62,negated_conjecture,
in(esk248_0,esk244_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_63,plain,
( in(apply(X1,X2),X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_inverse_image(X1,X3)) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_64,negated_conjecture,
( in(apply(esk247_0,esk248_0),esk246_0)
| in(esk248_0,relation_inverse_image(esk247_0,esk246_0)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_65,negated_conjecture,
( in(X1,relation_inverse_image(esk247_0,X2))
| ~ in(apply(esk247_0,X1),X2)
| ~ in(X1,esk244_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_55]),c_0_60])]) ).
cnf(c_0_66,negated_conjecture,
( ~ in(esk248_0,relation_inverse_image(esk247_0,esk246_0))
| ~ in(apply(esk247_0,esk248_0),esk246_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).
cnf(c_0_67,negated_conjecture,
in(apply(esk247_0,esk248_0),esk246_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_55]),c_0_60])]) ).
cnf(c_0_68,negated_conjecture,
( in(esk248_0,relation_inverse_image(esk247_0,X1))
| ~ in(apply(esk247_0,esk248_0),X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_62]) ).
cnf(c_0_69,negated_conjecture,
~ in(esk248_0,relation_inverse_image(esk247_0,esk246_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_67]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU293+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.16/0.35 % Computer : n019.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Wed Aug 23 21:39:59 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 21.39/21.62 % Version : CSE_E---1.5
% 21.39/21.62 % Problem : theBenchmark.p
% 21.39/21.62 % Proof found
% 21.39/21.62 % SZS status Theorem for theBenchmark.p
% 21.39/21.62 % SZS output start Proof
% See solution above
% 21.39/21.65 % Total time : 21.027000 s
% 21.39/21.65 % SZS output end Proof
% 21.39/21.65 % Total time : 21.040000 s
%------------------------------------------------------------------------------