TSTP Solution File: SEU282+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU282+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 : 600s
% DateTime : Tue Jul 19 08:40:23 EDT 2022
% Result : Theorem 53.09s 8.18s
% Output : CNFRefutation 53.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of clauses : 87 ( 11 unt; 28 nHn; 64 RR)
% Number of literals : 211 ( 65 equ; 105 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-3 aty)
% Number of variables : 208 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_99,plain,
( X1 = X2
| unordered_pair(unordered_pair(X1,X3),singleton(X1)) != unordered_pair(unordered_pair(X2,X4),singleton(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_99) ).
cnf(i_0_64,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_64) ).
cnf(i_0_61,plain,
( unordered_pair(unordered_pair(esk18_3(X1,X2,X3),esk19_3(X1,X2,X3)),singleton(esk18_3(X1,X2,X3))) = X3
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_61) ).
cnf(i_0_98,plain,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),singleton(X3)) != unordered_pair(unordered_pair(X4,X2),singleton(X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_98) ).
cnf(i_0_59,plain,
( singleton(esk18_3(X1,X2,X3)) = esk19_3(X1,X2,X3)
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_59) ).
cnf(i_0_69,plain,
( relation(X1)
| esk25_1(X1) != unordered_pair(unordered_pair(X2,X3),singleton(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_69) ).
cnf(i_0_67,plain,
( function(X1)
| in(unordered_pair(unordered_pair(esk20_1(X1),esk21_1(X1)),singleton(esk20_1(X1))),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_67) ).
cnf(i_0_66,plain,
( function(X1)
| in(unordered_pair(unordered_pair(esk20_1(X1),esk22_1(X1)),singleton(esk20_1(X1))),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_66) ).
cnf(i_0_1,negated_conjecture,
( esk3_1(X1) = singleton(esk2_1(X1))
| in(unordered_pair(unordered_pair(esk2_1(X1),esk3_1(X1)),singleton(esk2_1(X1))),X1)
| ~ relation(X1)
| ~ function(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_1) ).
cnf(i_0_70,plain,
( relation(X1)
| in(esk25_1(X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_70) ).
cnf(i_0_65,plain,
( function(X1)
| esk22_1(X1) != esk21_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_65) ).
cnf(i_0_58,plain,
( in(X1,esk17_2(X2,X3))
| X4 != singleton(X5)
| unordered_pair(unordered_pair(X5,X4),singleton(X5)) != X1
| ~ in(X5,X2)
| ~ in(X1,cartesian_product2(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_58) ).
cnf(i_0_95,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_95) ).
cnf(i_0_60,plain,
( in(esk18_3(X1,X2,X3),X1)
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_60) ).
cnf(i_0_2,negated_conjecture,
( in(esk2_1(X1),esk1_0)
| in(unordered_pair(unordered_pair(esk2_1(X1),esk3_1(X1)),singleton(esk2_1(X1))),X1)
| ~ relation(X1)
| ~ function(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
( esk3_1(X1) != singleton(esk2_1(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(esk2_1(X1),esk1_0)
| ~ in(unordered_pair(unordered_pair(esk2_1(X1),esk3_1(X1)),singleton(esk2_1(X1))),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_3) ).
cnf(i_0_93,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_93) ).
cnf(i_0_46,plain,
( singleton(esk12_1(X1)) = esk14_1(X1)
| in(X2,esk15_1(X1))
| X2 != singleton(X3)
| ~ in(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_46) ).
cnf(i_0_43,plain,
( in(X1,esk15_1(X2))
| X1 != singleton(X3)
| esk14_1(X2) != esk13_1(X2)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_43) ).
cnf(i_0_52,plain,
( singleton(esk12_1(X1)) = esk13_1(X1)
| in(X2,esk15_1(X1))
| X2 != singleton(X3)
| ~ in(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pzj78eyv/lgb.p',i_0_52) ).
cnf(c_0_120,plain,
( X1 = X2
| unordered_pair(unordered_pair(X1,X3),singleton(X1)) != unordered_pair(unordered_pair(X2,X4),singleton(X2)) ),
i_0_99 ).
cnf(c_0_121,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_64 ).
cnf(c_0_122,plain,
( unordered_pair(unordered_pair(esk18_3(X1,X2,X3),esk19_3(X1,X2,X3)),singleton(esk18_3(X1,X2,X3))) = X3
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_61 ).
cnf(c_0_123,plain,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),singleton(X3)) != unordered_pair(unordered_pair(X4,X2),singleton(X4)) ),
i_0_98 ).
cnf(c_0_124,plain,
( X1 = X2
| unordered_pair(unordered_pair(X1,X3),singleton(X1)) != unordered_pair(singleton(X2),unordered_pair(X2,X4)) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
( unordered_pair(singleton(esk18_3(X1,X2,X3)),unordered_pair(esk18_3(X1,X2,X3),esk19_3(X1,X2,X3))) = X3
| ~ in(X3,esk17_2(X1,X2)) ),
inference(rw,[status(thm)],[c_0_122,c_0_121]) ).
cnf(c_0_126,plain,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),singleton(X3)) != unordered_pair(singleton(X4),unordered_pair(X4,X2)) ),
inference(spm,[status(thm)],[c_0_123,c_0_121]) ).
cnf(c_0_127,plain,
( singleton(esk18_3(X1,X2,X3)) = esk19_3(X1,X2,X3)
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_59 ).
cnf(c_0_128,plain,
( esk18_3(X1,X2,unordered_pair(unordered_pair(X3,X4),singleton(X3))) = X3
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),esk17_2(X1,X2)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125])]) ).
cnf(c_0_129,plain,
( esk19_3(X1,X2,unordered_pair(unordered_pair(X3,X4),singleton(X3))) = X4
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),esk17_2(X1,X2)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_125])]) ).
cnf(c_0_130,plain,
( esk19_3(X1,X2,unordered_pair(unordered_pair(X3,X4),singleton(X3))) = singleton(X3)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),esk17_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_131,plain,
( relation(X1)
| esk25_1(X1) != unordered_pair(unordered_pair(X2,X3),singleton(X2)) ),
i_0_69 ).
cnf(c_0_132,plain,
( singleton(X1) = X2
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk17_2(X3,X4)) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_133,plain,
( function(X1)
| in(unordered_pair(unordered_pair(esk20_1(X1),esk21_1(X1)),singleton(esk20_1(X1))),X1) ),
i_0_67 ).
cnf(c_0_134,plain,
( function(X1)
| in(unordered_pair(unordered_pair(esk20_1(X1),esk22_1(X1)),singleton(esk20_1(X1))),X1) ),
i_0_66 ).
cnf(c_0_135,plain,
( relation(X1)
| esk25_1(X1) != unordered_pair(singleton(X2),unordered_pair(X2,X3)) ),
inference(spm,[status(thm)],[c_0_131,c_0_121]) ).
cnf(c_0_136,plain,
( singleton(X1) = X2
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),esk17_2(X3,X4)) ),
inference(spm,[status(thm)],[c_0_132,c_0_121]) ).
cnf(c_0_137,plain,
( in(unordered_pair(singleton(esk20_1(X1)),unordered_pair(esk20_1(X1),esk21_1(X1))),X1)
| function(X1) ),
inference(rw,[status(thm)],[c_0_133,c_0_121]) ).
cnf(c_0_138,plain,
( in(unordered_pair(singleton(esk20_1(X1)),unordered_pair(esk20_1(X1),esk22_1(X1))),X1)
| function(X1) ),
inference(rw,[status(thm)],[c_0_134,c_0_121]) ).
cnf(c_0_139,negated_conjecture,
( esk3_1(X1) = singleton(esk2_1(X1))
| in(unordered_pair(unordered_pair(esk2_1(X1),esk3_1(X1)),singleton(esk2_1(X1))),X1)
| ~ relation(X1)
| ~ function(X1) ),
i_0_1 ).
cnf(c_0_140,plain,
( relation(X1)
| ~ in(esk25_1(X1),esk17_2(X2,X3)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_125])]) ).
cnf(c_0_141,plain,
( relation(X1)
| in(esk25_1(X1),X1) ),
i_0_70 ).
cnf(c_0_142,plain,
( singleton(esk20_1(esk17_2(X1,X2))) = esk21_1(esk17_2(X1,X2))
| function(esk17_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_143,plain,
( singleton(esk20_1(esk17_2(X1,X2))) = esk22_1(esk17_2(X1,X2))
| function(esk17_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_136,c_0_138]) ).
cnf(c_0_144,plain,
( function(X1)
| esk22_1(X1) != esk21_1(X1) ),
i_0_65 ).
cnf(c_0_145,plain,
( in(X1,esk17_2(X2,X3))
| X4 != singleton(X5)
| unordered_pair(unordered_pair(X5,X4),singleton(X5)) != X1
| ~ in(X5,X2)
| ~ in(X1,cartesian_product2(X2,X3)) ),
i_0_58 ).
cnf(c_0_146,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X4)) ),
i_0_95 ).
cnf(c_0_147,plain,
( in(esk18_3(X1,X2,X3),X1)
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_60 ).
cnf(c_0_148,negated_conjecture,
( in(esk2_1(X1),esk1_0)
| in(unordered_pair(unordered_pair(esk2_1(X1),esk3_1(X1)),singleton(esk2_1(X1))),X1)
| ~ relation(X1)
| ~ function(X1) ),
i_0_2 ).
cnf(c_0_149,negated_conjecture,
( esk3_1(X1) != singleton(esk2_1(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(esk2_1(X1),esk1_0)
| ~ in(unordered_pair(unordered_pair(esk2_1(X1),esk3_1(X1)),singleton(esk2_1(X1))),X1) ),
i_0_3 ).
cnf(c_0_150,negated_conjecture,
( singleton(esk2_1(X1)) = esk3_1(X1)
| in(unordered_pair(singleton(esk2_1(X1)),unordered_pair(esk2_1(X1),esk3_1(X1))),X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(rw,[status(thm)],[c_0_139,c_0_121]) ).
cnf(c_0_151,plain,
relation(esk17_2(X1,X2)),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_152,plain,
function(esk17_2(X1,X2)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]) ).
cnf(c_0_153,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,singleton(X1))),esk17_2(X2,X3))
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,singleton(X1))),cartesian_product2(X2,X3))
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_145])]),c_0_121]),c_0_121]) ).
cnf(c_0_154,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,X4)) ),
inference(spm,[status(thm)],[c_0_146,c_0_121]) ).
cnf(c_0_155,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),esk17_2(X2,X4)) ),
inference(spm,[status(thm)],[c_0_147,c_0_128]) ).
cnf(c_0_156,negated_conjecture,
( in(unordered_pair(singleton(esk2_1(X1)),unordered_pair(esk2_1(X1),esk3_1(X1))),X1)
| in(esk2_1(X1),esk1_0)
| ~ relation(X1)
| ~ function(X1) ),
inference(rw,[status(thm)],[c_0_148,c_0_121]) ).
cnf(c_0_157,negated_conjecture,
( singleton(esk2_1(X1)) != esk3_1(X1)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk2_1(X1)),unordered_pair(esk2_1(X1),esk3_1(X1))),X1)
| ~ in(esk2_1(X1),esk1_0)
| ~ function(X1) ),
inference(rw,[status(thm)],[c_0_149,c_0_121]) ).
cnf(c_0_158,negated_conjecture,
singleton(esk2_1(esk17_2(X1,X2))) = esk3_1(esk17_2(X1,X2)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152])]),c_0_136]) ).
cnf(c_0_159,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,singleton(X1))),esk17_2(X2,X3))
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,singleton(X1))),cartesian_product2(X2,X3)) ),
inference(csr,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_160,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),esk17_2(X2,X4)) ),
inference(spm,[status(thm)],[c_0_155,c_0_121]) ).
cnf(c_0_161,negated_conjecture,
( in(unordered_pair(singleton(esk2_1(esk17_2(X1,X2))),unordered_pair(esk2_1(esk17_2(X1,X2)),esk3_1(esk17_2(X1,X2)))),esk17_2(X1,X2))
| in(esk2_1(esk17_2(X1,X2)),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_151]),c_0_152])]) ).
cnf(c_0_162,negated_conjecture,
( ~ in(unordered_pair(esk3_1(esk17_2(X1,X2)),unordered_pair(esk2_1(esk17_2(X1,X2)),esk3_1(esk17_2(X1,X2)))),esk17_2(X1,X2))
| ~ in(esk2_1(esk17_2(X1,X2)),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_151]),c_0_152])]) ).
cnf(c_0_163,plain,
( in(unordered_pair(esk3_1(esk17_2(X1,X2)),unordered_pair(esk2_1(esk17_2(X1,X2)),esk3_1(esk17_2(X1,X2)))),esk17_2(X3,X4))
| ~ in(unordered_pair(esk3_1(esk17_2(X1,X2)),unordered_pair(esk2_1(esk17_2(X1,X2)),esk3_1(esk17_2(X1,X2)))),cartesian_product2(X3,X4)) ),
inference(spm,[status(thm)],[c_0_159,c_0_158]) ).
cnf(c_0_164,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
i_0_93 ).
cnf(c_0_165,plain,
( singleton(esk12_1(X1)) = esk14_1(X1)
| in(X2,esk15_1(X1))
| X2 != singleton(X3)
| ~ in(X3,X1) ),
i_0_46 ).
cnf(c_0_166,plain,
( in(esk2_1(esk17_2(X1,X2)),esk1_0)
| in(esk2_1(esk17_2(X1,X2)),X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_167,negated_conjecture,
( ~ in(unordered_pair(esk3_1(esk17_2(X1,X2)),unordered_pair(esk2_1(esk17_2(X1,X2)),esk3_1(esk17_2(X1,X2)))),cartesian_product2(X1,X2))
| ~ in(esk2_1(esk17_2(X1,X2)),esk1_0) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_168,plain,
( in(unordered_pair(esk3_1(esk17_2(X1,X2)),unordered_pair(esk2_1(esk17_2(X1,X2)),X3)),cartesian_product2(X4,X5))
| ~ in(esk2_1(esk17_2(X1,X2)),X4)
| ~ in(X3,X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_158]),c_0_121]) ).
cnf(c_0_169,plain,
( in(X1,esk15_1(X2))
| X1 != singleton(X3)
| esk14_1(X2) != esk13_1(X2)
| ~ in(X3,X2) ),
i_0_43 ).
cnf(c_0_170,plain,
( singleton(esk12_1(X1)) = esk13_1(X1)
| in(X2,esk15_1(X1))
| X2 != singleton(X3)
| ~ in(X3,X1) ),
i_0_52 ).
cnf(c_0_171,plain,
( singleton(esk12_1(X1)) = esk14_1(X1)
| in(singleton(X2),esk15_1(X1))
| ~ in(X2,X1) ),
inference(er,[status(thm)],[c_0_165]) ).
cnf(c_0_172,plain,
in(esk2_1(esk17_2(esk1_0,X1)),esk1_0),
inference(ef,[status(thm)],[c_0_166]) ).
cnf(c_0_173,plain,
( ~ in(esk2_1(esk17_2(X1,X2)),esk1_0)
| ~ in(esk2_1(esk17_2(X1,X2)),X1)
| ~ in(esk3_1(esk17_2(X1,X2)),X2) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_174,plain,
( in(singleton(X1),esk15_1(X2))
| esk14_1(X2) != esk13_1(X2)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_169]) ).
cnf(c_0_175,plain,
( singleton(esk12_1(X1)) = esk13_1(X1)
| in(singleton(X2),esk15_1(X1))
| ~ in(X2,X1) ),
inference(er,[status(thm)],[c_0_170]) ).
cnf(c_0_176,plain,
( singleton(esk12_1(esk1_0)) = esk14_1(esk1_0)
| in(singleton(esk2_1(esk17_2(esk1_0,X1))),esk15_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_177,plain,
~ in(esk3_1(esk17_2(esk1_0,X1)),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_172]),c_0_172])]) ).
cnf(c_0_178,plain,
( in(esk3_1(esk17_2(X1,X2)),esk15_1(X3))
| esk14_1(X3) != esk13_1(X3)
| ~ in(esk2_1(esk17_2(X1,X2)),X3) ),
inference(spm,[status(thm)],[c_0_174,c_0_158]) ).
cnf(c_0_179,plain,
( singleton(esk12_1(esk1_0)) = esk13_1(esk1_0)
| in(singleton(esk2_1(esk17_2(esk1_0,X1))),esk15_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_175,c_0_172]) ).
cnf(c_0_180,plain,
( singleton(esk12_1(esk1_0)) = esk14_1(esk1_0)
| in(esk3_1(esk17_2(esk1_0,X1)),esk15_1(esk1_0)) ),
inference(rw,[status(thm)],[c_0_176,c_0_158]) ).
cnf(c_0_181,plain,
( esk14_1(X1) != esk13_1(X1)
| ~ in(esk2_1(esk17_2(esk1_0,esk15_1(X1))),X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_182,plain,
( singleton(esk12_1(esk1_0)) = esk13_1(esk1_0)
| in(esk3_1(esk17_2(esk1_0,X1)),esk15_1(esk1_0)) ),
inference(rw,[status(thm)],[c_0_179,c_0_158]) ).
cnf(c_0_183,plain,
singleton(esk12_1(esk1_0)) = esk14_1(esk1_0),
inference(spm,[status(thm)],[c_0_177,c_0_180]) ).
cnf(c_0_184,plain,
esk14_1(esk1_0) != esk13_1(esk1_0),
inference(spm,[status(thm)],[c_0_181,c_0_172]) ).
cnf(c_0_185,plain,
in(esk3_1(esk17_2(esk1_0,X1)),esk15_1(esk1_0)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
cnf(c_0_186,plain,
$false,
inference(spm,[status(thm)],[c_0_177,c_0_185]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU282+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 07:56:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 53.09/8.18 # ENIGMATIC: Solved by autoschedule-lgb:
% 53.09/8.18 # No SInE strategy applied
% 53.09/8.18 # Trying AutoSched0 for 150 seconds
% 53.09/8.18 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 53.09/8.18 # and selection function SelectComplexExceptUniqMaxHorn.
% 53.09/8.18 #
% 53.09/8.18 # Preprocessing time : 0.020 s
% 53.09/8.18 # Presaturation interreduction done
% 53.09/8.18
% 53.09/8.18 # Proof found!
% 53.09/8.18 # SZS status Theorem
% 53.09/8.18 # SZS output start CNFRefutation
% See solution above
% 53.09/8.18 # Training examples: 0 positive, 0 negative
% 53.09/8.18
% 53.09/8.18 # -------------------------------------------------
% 53.09/8.18 # User time : 5.645 s
% 53.09/8.18 # System time : 0.155 s
% 53.09/8.18 # Total time : 5.800 s
% 53.09/8.18 # Maximum resident set size: 7124 pages
% 53.09/8.18
%------------------------------------------------------------------------------