TSTP Solution File: SEU275+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU275+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 : n005.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 16:24:02 EDT 2023
% Result : Theorem 0.95s 1.06s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 226
% Syntax : Number of formulae : 248 ( 16 unt; 218 typ; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 79 ( 34 ~; 29 |; 10 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 416 ( 204 >; 212 *; 0 +; 0 <<)
% Number of predicates : 33 ( 32 usr; 1 prp; 0-3 aty)
% Number of functors : 186 ( 186 usr; 14 con; 0-5 aty)
% Number of variables : 24 ( 4 sgn; 16 !; 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,
pair_first: $i > $i ).
tff(decl_56,type,
succ: $i > $i ).
tff(decl_57,type,
singleton: $i > $i ).
tff(decl_58,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff(decl_59,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff(decl_60,type,
empty_set: $i ).
tff(decl_61,type,
set_meet: $i > $i ).
tff(decl_62,type,
fiber: ( $i * $i ) > $i ).
tff(decl_63,type,
inclusion_relation: $i > $i ).
tff(decl_64,type,
pair_second: $i > $i ).
tff(decl_65,type,
well_founded_relation: $i > $o ).
tff(decl_66,type,
disjoint: ( $i * $i ) > $o ).
tff(decl_67,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff(decl_68,type,
cast_to_subset: $i > $i ).
tff(decl_69,type,
union: $i > $i ).
tff(decl_70,type,
well_ordering: $i > $o ).
tff(decl_71,type,
reflexive: $i > $o ).
tff(decl_72,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_73,type,
relation_rng: $i > $i ).
tff(decl_74,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_75,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_76,type,
being_limit_ordinal: $i > $o ).
tff(decl_77,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_78,type,
relation_inverse: $i > $i ).
tff(decl_79,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_80,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_81,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_82,type,
function_inverse: $i > $i ).
tff(decl_83,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_86,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_87,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_89,type,
relation_empty_yielding: $i > $o ).
tff(decl_90,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_91,type,
epred1_2: ( $i * $i ) > $o ).
tff(decl_92,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_93,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_94,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_104,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_109,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk22_1: $i > $i ).
tff(decl_114,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_115,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_117,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_118,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_119,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_120,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_121,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_122,type,
esk31_1: $i > $i ).
tff(decl_123,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_124,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_125,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_126,type,
esk35_1: $i > $i ).
tff(decl_127,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_128,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_129,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_130,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_131,type,
esk40_1: $i > $i ).
tff(decl_132,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_133,type,
esk42_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_134,type,
esk43_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_135,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_136,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_137,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_138,type,
esk47_1: $i > $i ).
tff(decl_139,type,
esk48_1: $i > $i ).
tff(decl_140,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_141,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_142,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_143,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_144,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_145,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_146,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_147,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_148,type,
esk57_2: ( $i * $i ) > $i ).
tff(decl_149,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_150,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_151,type,
esk60_3: ( $i * $i * $i ) > $i ).
tff(decl_152,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_153,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_154,type,
esk63_3: ( $i * $i * $i ) > $i ).
tff(decl_155,type,
esk64_3: ( $i * $i * $i ) > $i ).
tff(decl_156,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_157,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk67_3: ( $i * $i * $i ) > $i ).
tff(decl_159,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_161,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_162,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_165,type,
esk74_3: ( $i * $i * $i ) > $i ).
tff(decl_166,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_167,type,
esk76_1: $i > $i ).
tff(decl_168,type,
esk77_1: $i > $i ).
tff(decl_169,type,
esk78_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_170,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_171,type,
esk80_3: ( $i * $i * $i ) > $i ).
tff(decl_172,type,
esk81_3: ( $i * $i * $i ) > $i ).
tff(decl_173,type,
esk82_2: ( $i * $i ) > $i ).
tff(decl_174,type,
esk83_2: ( $i * $i ) > $i ).
tff(decl_175,type,
esk84_2: ( $i * $i ) > $i ).
tff(decl_176,type,
esk85_3: ( $i * $i * $i ) > $i ).
tff(decl_177,type,
esk86_2: ( $i * $i ) > $i ).
tff(decl_178,type,
esk87_1: $i > $i ).
tff(decl_179,type,
esk88_2: ( $i * $i ) > $i ).
tff(decl_180,type,
esk89_1: $i > $i ).
tff(decl_181,type,
esk90_1: $i > $i ).
tff(decl_182,type,
esk91_1: $i > $i ).
tff(decl_183,type,
esk92_1: $i > $i ).
tff(decl_184,type,
esk93_1: $i > $i ).
tff(decl_185,type,
esk94_1: $i > $i ).
tff(decl_186,type,
esk95_1: $i > $i ).
tff(decl_187,type,
esk96_1: $i > $i ).
tff(decl_188,type,
esk97_2: ( $i * $i ) > $i ).
tff(decl_189,type,
esk98_0: $i ).
tff(decl_190,type,
esk99_0: $i ).
tff(decl_191,type,
esk100_0: $i ).
tff(decl_192,type,
esk101_1: $i > $i ).
tff(decl_193,type,
esk102_0: $i ).
tff(decl_194,type,
esk103_0: $i ).
tff(decl_195,type,
esk104_0: $i ).
tff(decl_196,type,
esk105_0: $i ).
tff(decl_197,type,
esk106_1: $i > $i ).
tff(decl_198,type,
esk107_0: $i ).
tff(decl_199,type,
esk108_0: $i ).
tff(decl_200,type,
esk109_0: $i ).
tff(decl_201,type,
esk110_0: $i ).
tff(decl_202,type,
esk111_0: $i ).
tff(decl_203,type,
esk112_1: $i > $i ).
tff(decl_204,type,
esk113_2: ( $i * $i ) > $i ).
tff(decl_205,type,
esk114_2: ( $i * $i ) > $i ).
tff(decl_206,type,
esk115_2: ( $i * $i ) > $i ).
tff(decl_207,type,
esk116_2: ( $i * $i ) > $i ).
tff(decl_208,type,
esk117_2: ( $i * $i ) > $i ).
tff(decl_209,type,
esk118_2: ( $i * $i ) > $i ).
tff(decl_210,type,
esk119_3: ( $i * $i * $i ) > $i ).
tff(decl_211,type,
esk120_3: ( $i * $i * $i ) > $i ).
tff(decl_212,type,
esk121_2: ( $i * $i ) > $i ).
tff(decl_213,type,
esk122_3: ( $i * $i * $i ) > $i ).
tff(decl_214,type,
esk123_1: $i > $i ).
tff(decl_215,type,
esk124_3: ( $i * $i * $i ) > $i ).
tff(decl_216,type,
esk125_3: ( $i * $i * $i ) > $i ).
tff(decl_217,type,
esk126_3: ( $i * $i * $i ) > $i ).
tff(decl_218,type,
esk127_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_219,type,
esk128_3: ( $i * $i * $i ) > $i ).
tff(decl_220,type,
esk129_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_221,type,
esk130_2: ( $i * $i ) > $i ).
tff(decl_222,type,
esk131_1: $i > $i ).
tff(decl_223,type,
esk132_2: ( $i * $i ) > $i ).
tff(decl_224,type,
esk133_2: ( $i * $i ) > $i ).
tff(decl_225,type,
esk134_2: ( $i * $i ) > $i ).
tff(decl_226,type,
esk135_1: $i > $i ).
tff(decl_227,type,
esk136_1: $i > $i ).
tff(decl_228,type,
esk137_2: ( $i * $i ) > $i ).
tff(decl_229,type,
esk138_2: ( $i * $i ) > $i ).
tff(decl_230,type,
esk139_2: ( $i * $i ) > $i ).
tff(decl_231,type,
esk140_2: ( $i * $i ) > $i ).
tff(decl_232,type,
esk141_2: ( $i * $i ) > $i ).
tff(decl_233,type,
esk142_1: $i > $i ).
tff(decl_234,type,
esk143_1: $i > $i ).
tff(decl_235,type,
esk144_3: ( $i * $i * $i ) > $i ).
tff(decl_236,type,
esk145_2: ( $i * $i ) > $i ).
tff(decl_237,type,
esk146_0: $i ).
tff(decl_238,type,
esk147_1: $i > $i ).
tff(decl_239,type,
esk148_2: ( $i * $i ) > $i ).
fof(t7_wellord2,conjecture,
! [X1] :
( ordinal(X1)
=> well_ordering(inclusion_relation(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_wellord2) ).
fof(d4_wellord1,axiom,
! [X1] :
( relation(X1)
=> ( well_ordering(X1)
<=> ( reflexive(X1)
& transitive(X1)
& antisymmetric(X1)
& connected(X1)
& well_founded_relation(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_wellord1) ).
fof(t2_wellord2,lemma,
! [X1] : reflexive(inclusion_relation(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_wellord2) ).
fof(t3_wellord2,lemma,
! [X1] : transitive(inclusion_relation(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_wellord2) ).
fof(t5_wellord2,lemma,
! [X1] : antisymmetric(inclusion_relation(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_wellord2) ).
fof(dt_k1_wellord2,axiom,
! [X1] : relation(inclusion_relation(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_wellord2) ).
fof(t6_wellord2,lemma,
! [X1] :
( ordinal(X1)
=> well_founded_relation(inclusion_relation(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_wellord2) ).
fof(t4_wellord2,lemma,
! [X1] :
( ordinal(X1)
=> connected(inclusion_relation(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_wellord2) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( ordinal(X1)
=> well_ordering(inclusion_relation(X1)) ),
inference(assume_negation,[status(cth)],[t7_wellord2]) ).
fof(c_0_9,plain,
! [X317] :
( ( reflexive(X317)
| ~ well_ordering(X317)
| ~ relation(X317) )
& ( transitive(X317)
| ~ well_ordering(X317)
| ~ relation(X317) )
& ( antisymmetric(X317)
| ~ well_ordering(X317)
| ~ relation(X317) )
& ( connected(X317)
| ~ well_ordering(X317)
| ~ relation(X317) )
& ( well_founded_relation(X317)
| ~ well_ordering(X317)
| ~ relation(X317) )
& ( ~ reflexive(X317)
| ~ transitive(X317)
| ~ antisymmetric(X317)
| ~ connected(X317)
| ~ well_founded_relation(X317)
| well_ordering(X317)
| ~ relation(X317) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_wellord1])])]) ).
fof(c_0_10,lemma,
! [X784] : reflexive(inclusion_relation(X784)),
inference(variable_rename,[status(thm)],[t2_wellord2]) ).
fof(c_0_11,lemma,
! [X836] : transitive(inclusion_relation(X836)),
inference(variable_rename,[status(thm)],[t3_wellord2]) ).
fof(c_0_12,lemma,
! [X921] : antisymmetric(inclusion_relation(X921)),
inference(variable_rename,[status(thm)],[t5_wellord2]) ).
fof(c_0_13,plain,
! [X419] : relation(inclusion_relation(X419)),
inference(variable_rename,[status(thm)],[dt_k1_wellord2]) ).
fof(c_0_14,negated_conjecture,
( ordinal(esk146_0)
& ~ well_ordering(inclusion_relation(esk146_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
cnf(c_0_15,plain,
( well_ordering(X1)
| ~ reflexive(X1)
| ~ transitive(X1)
| ~ antisymmetric(X1)
| ~ connected(X1)
| ~ well_founded_relation(X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,lemma,
reflexive(inclusion_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,lemma,
transitive(inclusion_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,lemma,
antisymmetric(inclusion_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
relation(inclusion_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
~ well_ordering(inclusion_relation(esk146_0)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,lemma,
( well_ordering(inclusion_relation(X1))
| ~ well_founded_relation(inclusion_relation(X1))
| ~ connected(inclusion_relation(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_19])]) ).
fof(c_0_22,lemma,
! [X939] :
( ~ ordinal(X939)
| well_founded_relation(inclusion_relation(X939)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_wellord2])]) ).
cnf(c_0_23,negated_conjecture,
( ~ well_founded_relation(inclusion_relation(esk146_0))
| ~ connected(inclusion_relation(esk146_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,lemma,
( well_founded_relation(inclusion_relation(X1))
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,negated_conjecture,
ordinal(esk146_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_26,lemma,
! [X882] :
( ~ ordinal(X882)
| connected(inclusion_relation(X882)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_wellord2])]) ).
cnf(c_0_27,lemma,
~ connected(inclusion_relation(esk146_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_28,lemma,
( connected(inclusion_relation(X1))
| ~ ordinal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_29,lemma,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU275+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 14:04:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.60 start to proof: theBenchmark
% 0.95/1.06 % Version : CSE_E---1.5
% 0.95/1.06 % Problem : theBenchmark.p
% 0.95/1.06 % Proof found
% 0.95/1.06 % SZS status Theorem for theBenchmark.p
% 0.95/1.06 % SZS output start Proof
% See solution above
% 0.95/1.07 % Total time : 0.439000 s
% 0.95/1.07 % SZS output end Proof
% 0.95/1.07 % Total time : 0.455000 s
%------------------------------------------------------------------------------