TSTP Solution File: SEU280+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU280+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 : n023.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 16:24:04 EDT 2023
% Result : Theorem 112.87s 112.87s
% Output : CNFRefutation 112.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 244
% Syntax : Number of formulae : 286 ( 6 unt; 242 typ; 0 def)
% Number of atoms : 195 ( 64 equ)
% Maximal formula atoms : 70 ( 4 avg)
% Number of connectives : 225 ( 74 ~; 118 |; 28 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 476 ( 225 >; 251 *; 0 +; 0 <<)
% Number of predicates : 35 ( 33 usr; 1 prp; 0-3 aty)
% Number of functors : 209 ( 209 usr; 17 con; 0-5 aty)
% Number of variables : 68 ( 7 sgn; 14 !; 4 ?; 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,
equipotent: ( $i * $i ) > $o ).
tff(decl_73,type,
relation_rng: $i > $i ).
tff(decl_74,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_75,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_76,type,
well_orders: ( $i * $i ) > $o ).
tff(decl_77,type,
being_limit_ordinal: $i > $o ).
tff(decl_78,type,
relation_restriction: ( $i * $i ) > $i ).
tff(decl_79,type,
relation_inverse: $i > $i ).
tff(decl_80,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff(decl_81,type,
relation_composition: ( $i * $i ) > $i ).
tff(decl_82,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff(decl_83,type,
function_inverse: $i > $i ).
tff(decl_84,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
union_of_subsets: ( $i * $i ) > $i ).
tff(decl_87,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff(decl_88,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff(decl_90,type,
relation_empty_yielding: $i > $o ).
tff(decl_91,type,
are_equipotent: ( $i * $i ) > $o ).
tff(decl_92,type,
epred1_2: ( $i * $i ) > $o ).
tff(decl_93,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_94,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_95,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_100,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_107,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_110,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_114,type,
esk22_1: $i > $i ).
tff(decl_115,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_116,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_117,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_118,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_119,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_120,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_121,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_122,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_123,type,
esk31_1: $i > $i ).
tff(decl_124,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_125,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_126,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_127,type,
esk35_1: $i > $i ).
tff(decl_128,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_129,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_130,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_131,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_132,type,
esk40_1: $i > $i ).
tff(decl_133,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_134,type,
esk42_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_135,type,
esk43_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_136,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_137,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_138,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_139,type,
esk47_1: $i > $i ).
tff(decl_140,type,
esk48_1: $i > $i ).
tff(decl_141,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_142,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_143,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_144,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_145,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_146,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_147,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_148,type,
esk56_2: ( $i * $i ) > $i ).
tff(decl_149,type,
esk57_2: ( $i * $i ) > $i ).
tff(decl_150,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_151,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_152,type,
esk60_3: ( $i * $i * $i ) > $i ).
tff(decl_153,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_154,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_155,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_156,type,
esk64_3: ( $i * $i * $i ) > $i ).
tff(decl_157,type,
esk65_3: ( $i * $i * $i ) > $i ).
tff(decl_158,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_159,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk68_3: ( $i * $i * $i ) > $i ).
tff(decl_161,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_162,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_165,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_166,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_167,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_168,type,
esk76_3: ( $i * $i * $i ) > $i ).
tff(decl_169,type,
esk77_1: $i > $i ).
tff(decl_170,type,
esk78_1: $i > $i ).
tff(decl_171,type,
esk79_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_172,type,
esk80_3: ( $i * $i * $i ) > $i ).
tff(decl_173,type,
esk81_3: ( $i * $i * $i ) > $i ).
tff(decl_174,type,
esk82_3: ( $i * $i * $i ) > $i ).
tff(decl_175,type,
esk83_2: ( $i * $i ) > $i ).
tff(decl_176,type,
esk84_2: ( $i * $i ) > $i ).
tff(decl_177,type,
esk85_2: ( $i * $i ) > $i ).
tff(decl_178,type,
esk86_3: ( $i * $i * $i ) > $i ).
tff(decl_179,type,
esk87_2: ( $i * $i ) > $i ).
tff(decl_180,type,
esk88_1: $i > $i ).
tff(decl_181,type,
esk89_2: ( $i * $i ) > $i ).
tff(decl_182,type,
esk90_1: $i > $i ).
tff(decl_183,type,
esk91_1: $i > $i ).
tff(decl_184,type,
esk92_1: $i > $i ).
tff(decl_185,type,
esk93_1: $i > $i ).
tff(decl_186,type,
esk94_2: ( $i * $i ) > $i ).
tff(decl_187,type,
esk95_1: $i > $i ).
tff(decl_188,type,
esk96_1: $i > $i ).
tff(decl_189,type,
esk97_1: $i > $i ).
tff(decl_190,type,
esk98_1: $i > $i ).
tff(decl_191,type,
esk99_2: ( $i * $i ) > $i ).
tff(decl_192,type,
esk100_0: $i ).
tff(decl_193,type,
esk101_0: $i ).
tff(decl_194,type,
esk102_0: $i ).
tff(decl_195,type,
esk103_1: $i > $i ).
tff(decl_196,type,
esk104_0: $i ).
tff(decl_197,type,
esk105_0: $i ).
tff(decl_198,type,
esk106_0: $i ).
tff(decl_199,type,
esk107_0: $i ).
tff(decl_200,type,
esk108_1: $i > $i ).
tff(decl_201,type,
esk109_0: $i ).
tff(decl_202,type,
esk110_0: $i ).
tff(decl_203,type,
esk111_0: $i ).
tff(decl_204,type,
esk112_0: $i ).
tff(decl_205,type,
esk113_0: $i ).
tff(decl_206,type,
esk114_1: $i > $i ).
tff(decl_207,type,
esk115_3: ( $i * $i * $i ) > $i ).
tff(decl_208,type,
esk116_3: ( $i * $i * $i ) > $i ).
tff(decl_209,type,
esk117_3: ( $i * $i * $i ) > $i ).
tff(decl_210,type,
esk118_3: ( $i * $i * $i ) > $i ).
tff(decl_211,type,
esk119_3: ( $i * $i * $i ) > $i ).
tff(decl_212,type,
esk120_3: ( $i * $i * $i ) > $i ).
tff(decl_213,type,
esk121_3: ( $i * $i * $i ) > $i ).
tff(decl_214,type,
esk122_3: ( $i * $i * $i ) > $i ).
tff(decl_215,type,
esk123_3: ( $i * $i * $i ) > $i ).
tff(decl_216,type,
esk124_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_217,type,
esk125_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_218,type,
esk126_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_219,type,
esk127_0: $i ).
tff(decl_220,type,
esk128_0: $i ).
tff(decl_221,type,
esk129_0: $i ).
tff(decl_222,type,
esk130_1: $i > $i ).
tff(decl_223,type,
esk131_2: ( $i * $i ) > $i ).
tff(decl_224,type,
esk132_2: ( $i * $i ) > $i ).
tff(decl_225,type,
esk133_2: ( $i * $i ) > $i ).
tff(decl_226,type,
esk134_2: ( $i * $i ) > $i ).
tff(decl_227,type,
esk135_2: ( $i * $i ) > $i ).
tff(decl_228,type,
esk136_2: ( $i * $i ) > $i ).
tff(decl_229,type,
esk137_2: ( $i * $i ) > $i ).
tff(decl_230,type,
esk138_3: ( $i * $i * $i ) > $i ).
tff(decl_231,type,
esk139_3: ( $i * $i * $i ) > $i ).
tff(decl_232,type,
esk140_3: ( $i * $i * $i ) > $i ).
tff(decl_233,type,
esk141_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_234,type,
esk142_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_235,type,
esk143_0: $i ).
tff(decl_236,type,
esk144_1: $i > $i ).
tff(decl_237,type,
esk145_2: ( $i * $i ) > $i ).
tff(decl_238,type,
esk146_3: ( $i * $i * $i ) > $i ).
tff(decl_239,type,
esk147_1: $i > $i ).
tff(decl_240,type,
esk148_3: ( $i * $i * $i ) > $i ).
tff(decl_241,type,
esk149_3: ( $i * $i * $i ) > $i ).
tff(decl_242,type,
esk150_3: ( $i * $i * $i ) > $i ).
tff(decl_243,type,
esk151_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_244,type,
esk152_3: ( $i * $i * $i ) > $i ).
tff(decl_245,type,
esk153_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_246,type,
esk154_2: ( $i * $i ) > $i ).
tff(decl_247,type,
esk155_1: $i > $i ).
tff(decl_248,type,
esk156_2: ( $i * $i ) > $i ).
tff(decl_249,type,
esk157_2: ( $i * $i ) > $i ).
tff(decl_250,type,
esk158_2: ( $i * $i ) > $i ).
tff(decl_251,type,
esk159_1: $i > $i ).
tff(decl_252,type,
esk160_1: $i > $i ).
tff(decl_253,type,
esk161_2: ( $i * $i ) > $i ).
tff(decl_254,type,
esk162_2: ( $i * $i ) > $i ).
tff(decl_255,type,
esk163_2: ( $i * $i ) > $i ).
tff(decl_256,type,
esk164_2: ( $i * $i ) > $i ).
tff(decl_257,type,
esk165_2: ( $i * $i ) > $i ).
tff(decl_258,type,
esk166_1: $i > $i ).
tff(decl_259,type,
esk167_1: $i > $i ).
tff(decl_260,type,
esk168_3: ( $i * $i * $i ) > $i ).
tff(decl_261,type,
esk169_2: ( $i * $i ) > $i ).
tff(decl_262,type,
esk170_1: $i > $i ).
tff(decl_263,type,
esk171_2: ( $i * $i ) > $i ).
fof(s1_tarski__e6_22__wellord2__1,axiom,
! [X1] :
( ! [X2,X3,X4] :
( ( X2 = X3
& ordinal(X3)
& X2 = X4
& ordinal(X4) )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& X4 = X3
& ordinal(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
fof(s1_xboole_0__e6_22__wellord2,conjecture,
! [X1] :
? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& ordinal(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e6_22__wellord2) ).
fof(c_0_2,plain,
! [X648,X650,X652,X653] :
( ( in(esk131_2(X648,X650),X648)
| ~ in(X650,esk130_1(X648))
| esk127_0 = esk128_0 )
& ( esk131_2(X648,X650) = X650
| ~ in(X650,esk130_1(X648))
| esk127_0 = esk128_0 )
& ( ordinal(X650)
| ~ in(X650,esk130_1(X648))
| esk127_0 = esk128_0 )
& ( ~ in(X653,X648)
| X653 != X652
| ~ ordinal(X652)
| in(X652,esk130_1(X648))
| esk127_0 = esk128_0 )
& ( in(esk131_2(X648,X650),X648)
| ~ in(X650,esk130_1(X648))
| ordinal(esk128_0) )
& ( esk131_2(X648,X650) = X650
| ~ in(X650,esk130_1(X648))
| ordinal(esk128_0) )
& ( ordinal(X650)
| ~ in(X650,esk130_1(X648))
| ordinal(esk128_0) )
& ( ~ in(X653,X648)
| X653 != X652
| ~ ordinal(X652)
| in(X652,esk130_1(X648))
| ordinal(esk128_0) )
& ( in(esk131_2(X648,X650),X648)
| ~ in(X650,esk130_1(X648))
| esk127_0 = esk129_0 )
& ( esk131_2(X648,X650) = X650
| ~ in(X650,esk130_1(X648))
| esk127_0 = esk129_0 )
& ( ordinal(X650)
| ~ in(X650,esk130_1(X648))
| esk127_0 = esk129_0 )
& ( ~ in(X653,X648)
| X653 != X652
| ~ ordinal(X652)
| in(X652,esk130_1(X648))
| esk127_0 = esk129_0 )
& ( in(esk131_2(X648,X650),X648)
| ~ in(X650,esk130_1(X648))
| ordinal(esk129_0) )
& ( esk131_2(X648,X650) = X650
| ~ in(X650,esk130_1(X648))
| ordinal(esk129_0) )
& ( ordinal(X650)
| ~ in(X650,esk130_1(X648))
| ordinal(esk129_0) )
& ( ~ in(X653,X648)
| X653 != X652
| ~ ordinal(X652)
| in(X652,esk130_1(X648))
| ordinal(esk129_0) )
& ( in(esk131_2(X648,X650),X648)
| ~ in(X650,esk130_1(X648))
| esk128_0 != esk129_0 )
& ( esk131_2(X648,X650) = X650
| ~ in(X650,esk130_1(X648))
| esk128_0 != esk129_0 )
& ( ordinal(X650)
| ~ in(X650,esk130_1(X648))
| esk128_0 != esk129_0 )
& ( ~ in(X653,X648)
| X653 != X652
| ~ ordinal(X652)
| in(X652,esk130_1(X648))
| esk128_0 != esk129_0 ) ),
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)],[s1_tarski__e6_22__wellord2__1])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
? [X2] :
! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& ordinal(X3) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e6_22__wellord2]) ).
cnf(c_0_4,plain,
( in(X3,esk130_1(X2))
| esk127_0 = esk128_0
| ~ in(X1,X2)
| X1 != X3
| ~ ordinal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X679] :
( ( ~ in(esk144_1(X679),X679)
| ~ in(esk144_1(X679),esk143_0)
| ~ ordinal(esk144_1(X679)) )
& ( in(esk144_1(X679),esk143_0)
| in(esk144_1(X679),X679) )
& ( ordinal(esk144_1(X679))
| in(esk144_1(X679),X679) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_6,plain,
( esk127_0 = esk128_0
| in(X1,esk130_1(X2))
| ~ ordinal(X1)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( in(esk144_1(X1),esk143_0)
| in(esk144_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( ordinal(esk144_1(X1))
| in(esk144_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( esk127_0 = esk128_0
| in(esk144_1(X1),esk130_1(esk143_0))
| in(esk144_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_10,plain,
( in(esk131_2(X1,X2),X1)
| esk127_0 = esk128_0
| ~ in(X2,esk130_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
( esk127_0 = esk128_0
| in(esk144_1(esk130_1(esk143_0)),esk130_1(esk143_0)) ),
inference(ef,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( esk131_2(X1,X2) = X2
| esk127_0 = esk128_0
| ~ in(X2,esk130_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,plain,
( in(X3,esk130_1(X2))
| esk127_0 = esk129_0
| ~ in(X1,X2)
| X1 != X3
| ~ ordinal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( esk127_0 = esk128_0
| in(esk131_2(esk143_0,esk144_1(esk130_1(esk143_0))),esk143_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( esk131_2(X1,esk144_1(esk130_1(X1))) = esk144_1(esk130_1(X1))
| esk127_0 = esk128_0
| in(esk144_1(esk130_1(X1)),esk143_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_16,plain,
( ordinal(X1)
| esk127_0 = esk128_0
| ~ in(X1,esk130_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,plain,
( in(X3,esk130_1(X2))
| ~ in(X1,X2)
| X1 != X3
| ~ ordinal(X3)
| esk128_0 != esk129_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,plain,
( esk127_0 = esk129_0
| in(X1,esk130_1(X2))
| ~ ordinal(X1)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( ~ in(esk144_1(X1),X1)
| ~ in(esk144_1(X1),esk143_0)
| ~ ordinal(esk144_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
( esk127_0 = esk128_0
| in(esk144_1(esk130_1(esk143_0)),esk143_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( esk127_0 = esk128_0
| ordinal(esk144_1(esk130_1(X1))) ),
inference(spm,[status(thm)],[c_0_16,c_0_8]) ).
cnf(c_0_22,plain,
( in(X1,esk130_1(X2))
| esk129_0 != esk128_0
| ~ ordinal(X1)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( esk127_0 = esk129_0
| in(esk144_1(X1),esk130_1(esk143_0))
| in(esk144_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_7]),c_0_8]) ).
cnf(c_0_24,negated_conjecture,
esk127_0 = esk128_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_11]),c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( in(esk144_1(X1),esk130_1(esk143_0))
| in(esk144_1(X1),X1)
| esk129_0 != esk128_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_7]),c_0_8]) ).
cnf(c_0_26,plain,
( in(esk131_2(X1,X2),X1)
| esk127_0 = esk129_0
| ~ in(X2,esk130_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,plain,
( in(esk131_2(X1,X2),X1)
| ~ in(X2,esk130_1(X1))
| esk128_0 != esk129_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( in(esk144_1(X1),esk130_1(esk143_0))
| in(esk144_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_29,plain,
( esk131_2(X1,X2) = X2
| esk127_0 = esk129_0
| ~ in(X2,esk130_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_30,plain,
( esk131_2(X1,X2) = X2
| ~ in(X2,esk130_1(X1))
| esk128_0 != esk129_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_31,plain,
( in(esk131_2(X1,X2),X1)
| ~ in(X2,esk130_1(X1)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_24]),c_0_27]) ).
cnf(c_0_32,negated_conjecture,
in(esk144_1(esk130_1(esk143_0)),esk130_1(esk143_0)),
inference(ef,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( esk131_2(X1,esk144_1(esk130_1(X1))) = esk144_1(esk130_1(X1))
| esk127_0 = esk129_0
| in(esk144_1(esk130_1(X1)),esk143_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_7]) ).
cnf(c_0_34,negated_conjecture,
( esk131_2(X1,esk144_1(esk130_1(X1))) = esk144_1(esk130_1(X1))
| in(esk144_1(esk130_1(X1)),esk143_0)
| esk129_0 != esk128_0 ),
inference(spm,[status(thm)],[c_0_30,c_0_7]) ).
cnf(c_0_35,plain,
( ordinal(X1)
| esk127_0 = esk129_0
| ~ in(X1,esk130_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_36,plain,
( ordinal(X1)
| ~ in(X1,esk130_1(X2))
| esk128_0 != esk129_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_37,negated_conjecture,
in(esk131_2(esk143_0,esk144_1(esk130_1(esk143_0))),esk143_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( esk131_2(X1,esk144_1(esk130_1(X1))) = esk144_1(esk130_1(X1))
| in(esk144_1(esk130_1(X1)),esk143_0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_24]),c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( esk127_0 = esk129_0
| ordinal(esk144_1(esk130_1(X1))) ),
inference(spm,[status(thm)],[c_0_35,c_0_8]) ).
cnf(c_0_40,negated_conjecture,
( ordinal(esk144_1(esk130_1(X1)))
| esk129_0 != esk128_0 ),
inference(spm,[status(thm)],[c_0_36,c_0_8]) ).
cnf(c_0_41,negated_conjecture,
in(esk144_1(esk130_1(esk143_0)),esk143_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
ordinal(esk144_1(esk130_1(X1))),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_24]),c_0_40]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_41]),c_0_42]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU280+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n023.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 13:05:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.62 start to proof: theBenchmark
% 112.87/112.87 % Version : CSE_E---1.5
% 112.87/112.87 % Problem : theBenchmark.p
% 112.87/112.87 % Proof found
% 112.87/112.87 % SZS status Theorem for theBenchmark.p
% 112.87/112.87 % SZS output start Proof
% See solution above
% 112.87/112.89 % Total time : 112.243000 s
% 112.87/112.89 % SZS output end Proof
% 112.87/112.89 % Total time : 112.260000 s
%------------------------------------------------------------------------------