TSTP Solution File: SEU281+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU281+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 08:40:22 EDT 2022
% Result : Theorem 9.19s 2.42s
% Output : CNFRefutation 9.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 23
% Syntax : Number of clauses : 97 ( 10 unt; 58 nHn; 84 RR)
% Number of literals : 285 ( 129 equ; 125 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 193 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_75,plain,
( esk10_1(X1) = esk11_1(X1)
| in(X2,esk17_2(X1,X3))
| X4 != X2
| X5 != singleton(X6)
| ordered_pair(X6,X5) != X2
| ~ in(X6,X1)
| ~ in(X4,cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_75) ).
cnf(i_0_1,negated_conjecture,
( singleton(esk4_1(X1)) = esk5_1(X1)
| in(esk3_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_1) ).
cnf(i_0_2,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk4_1(X1),esk1_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
( ordered_pair(esk4_1(X1),esk5_1(X1)) = esk3_1(X1)
| in(esk3_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
( X1 != singleton(X2)
| ordered_pair(X2,X1) != esk3_1(X3)
| ~ in(X2,esk1_0)
| ~ in(esk3_1(X3),X3)
| ~ in(esk3_1(X3),cartesian_product2(esk1_0,esk2_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_5) ).
cnf(i_0_77,plain,
( esk10_1(X1) = esk11_1(X1)
| in(esk19_3(X1,X2,X3),X1)
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_77) ).
cnf(i_0_80,plain,
( esk10_1(X1) = esk11_1(X1)
| in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_80) ).
cnf(i_0_79,plain,
( esk10_1(X1) = esk11_1(X1)
| esk18_3(X1,X2,X3) = X3
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_79) ).
cnf(i_0_76,plain,
( esk10_1(X1) = esk11_1(X1)
| singleton(esk19_3(X1,X2,X3)) = esk20_3(X1,X2,X3)
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_76) ).
cnf(i_0_51,plain,
( esk12_1(X1) = esk10_1(X1)
| in(X2,esk17_2(X1,X3))
| X4 != X2
| X5 != singleton(X6)
| ordered_pair(X6,X5) != X2
| ~ in(X6,X1)
| ~ in(X4,cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_51) ).
cnf(i_0_78,plain,
( esk10_1(X1) = esk11_1(X1)
| ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3)) = X3
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_78) ).
cnf(i_0_53,plain,
( esk12_1(X1) = esk10_1(X1)
| in(esk19_3(X1,X2,X3),X1)
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_53) ).
cnf(i_0_56,plain,
( esk12_1(X1) = esk10_1(X1)
| in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_56) ).
cnf(i_0_55,plain,
( esk12_1(X1) = esk10_1(X1)
| esk18_3(X1,X2,X3) = X3
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_55) ).
cnf(i_0_52,plain,
( esk12_1(X1) = esk10_1(X1)
| singleton(esk19_3(X1,X2,X3)) = esk20_3(X1,X2,X3)
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_52) ).
cnf(i_0_27,plain,
( in(X1,esk17_2(X2,X3))
| X4 != X1
| X5 != singleton(X6)
| ordered_pair(X6,X5) != X1
| esk12_1(X2) != esk11_1(X2)
| ~ in(X6,X2)
| ~ in(X4,cartesian_product2(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_27) ).
cnf(i_0_54,plain,
( esk12_1(X1) = esk10_1(X1)
| ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3)) = X3
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_54) ).
cnf(i_0_29,plain,
( in(esk19_3(X1,X2,X3),X1)
| esk12_1(X1) != esk11_1(X1)
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_29) ).
cnf(i_0_28,plain,
( singleton(esk19_3(X1,X2,X3)) = esk20_3(X1,X2,X3)
| esk12_1(X1) != esk11_1(X1)
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_28) ).
cnf(i_0_32,plain,
( in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))
| esk12_1(X1) != esk11_1(X1)
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_32) ).
cnf(i_0_31,plain,
( esk18_3(X1,X2,X3) = X3
| esk12_1(X1) != esk11_1(X1)
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_31) ).
cnf(i_0_30,plain,
( ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3)) = X3
| esk12_1(X1) != esk11_1(X1)
| ~ in(X3,esk17_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxe6nfmk/input.p',i_0_30) ).
cnf(c_0_104,plain,
( esk10_1(X1) = esk11_1(X1)
| in(X2,esk17_2(X1,X3))
| X4 != X2
| X5 != singleton(X6)
| ordered_pair(X6,X5) != X2
| ~ in(X6,X1)
| ~ in(X4,cartesian_product2(X1,X3)) ),
i_0_75 ).
cnf(c_0_105,plain,
( esk10_1(X1) = esk11_1(X1)
| in(ordered_pair(X2,singleton(X2)),esk17_2(X1,X3))
| ~ in(ordered_pair(X2,singleton(X2)),cartesian_product2(X1,X3))
| ~ in(X2,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_104])])]) ).
cnf(c_0_106,negated_conjecture,
( singleton(esk4_1(X1)) = esk5_1(X1)
| in(esk3_1(X1),X1) ),
i_0_1 ).
cnf(c_0_107,negated_conjecture,
( esk10_1(X1) = esk11_1(X1)
| in(ordered_pair(esk4_1(X2),esk5_1(X2)),esk17_2(X1,X3))
| in(esk3_1(X2),X2)
| ~ in(ordered_pair(esk4_1(X2),esk5_1(X2)),cartesian_product2(X1,X3))
| ~ in(esk4_1(X2),X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_108,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk4_1(X1),esk1_0) ),
i_0_2 ).
cnf(c_0_109,negated_conjecture,
( esk10_1(esk1_0) = esk11_1(esk1_0)
| in(ordered_pair(esk4_1(X1),esk5_1(X1)),esk17_2(esk1_0,X2))
| in(esk3_1(X1),X1)
| ~ in(ordered_pair(esk4_1(X1),esk5_1(X1)),cartesian_product2(esk1_0,X2)) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_110,negated_conjecture,
( ordered_pair(esk4_1(X1),esk5_1(X1)) = esk3_1(X1)
| in(esk3_1(X1),X1) ),
i_0_3 ).
cnf(c_0_111,negated_conjecture,
( esk10_1(esk1_0) = esk11_1(esk1_0)
| in(esk3_1(X1),esk17_2(esk1_0,X2))
| in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),cartesian_product2(esk1_0,X2)) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_112,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0)) ),
i_0_4 ).
cnf(c_0_113,negated_conjecture,
( esk10_1(esk1_0) = esk11_1(esk1_0)
| in(esk3_1(X1),esk17_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_114,negated_conjecture,
( X1 != singleton(X2)
| ordered_pair(X2,X1) != esk3_1(X3)
| ~ in(X2,esk1_0)
| ~ in(esk3_1(X3),X3)
| ~ in(esk3_1(X3),cartesian_product2(esk1_0,esk2_0)) ),
i_0_5 ).
cnf(c_0_115,plain,
( esk10_1(X1) = esk11_1(X1)
| in(esk19_3(X1,X2,X3),X1)
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_77 ).
cnf(c_0_116,negated_conjecture,
( esk10_1(esk1_0) = esk11_1(esk1_0)
| in(esk3_1(esk17_2(esk1_0,esk2_0)),esk17_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_113]) ).
cnf(c_0_117,plain,
( esk10_1(X1) = esk11_1(X1)
| in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_80 ).
cnf(c_0_118,plain,
( esk10_1(X1) = esk11_1(X1)
| esk18_3(X1,X2,X3) = X3
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_79 ).
cnf(c_0_119,negated_conjecture,
( ordered_pair(X1,singleton(X1)) != esk3_1(X2)
| ~ in(esk3_1(X2),cartesian_product2(esk1_0,esk2_0))
| ~ in(esk3_1(X2),X2)
| ~ in(X1,esk1_0) ),
inference(er,[status(thm)],[c_0_114]) ).
cnf(c_0_120,plain,
( esk10_1(esk1_0) = esk11_1(esk1_0)
| in(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk1_0) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_121,plain,
( esk10_1(esk1_0) = esk11_1(esk1_0)
| in(esk18_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),cartesian_product2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_117,c_0_116]) ).
cnf(c_0_122,negated_conjecture,
( esk18_3(X1,X2,esk3_1(esk17_2(X1,X2))) = esk3_1(esk17_2(X1,X2))
| esk10_1(X1) = esk11_1(X1)
| in(esk3_1(esk17_2(X1,X2)),cartesian_product2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_118,c_0_112]) ).
cnf(c_0_123,negated_conjecture,
( esk10_1(esk1_0) = esk11_1(esk1_0)
| ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),singleton(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))))) != esk3_1(X1)
| ~ in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0))
| ~ in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_124,negated_conjecture,
( esk10_1(esk1_0) = esk11_1(esk1_0)
| in(esk3_1(esk17_2(esk1_0,esk2_0)),cartesian_product2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_125,plain,
( esk10_1(X1) = esk11_1(X1)
| singleton(esk19_3(X1,X2,X3)) = esk20_3(X1,X2,X3)
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_76 ).
cnf(c_0_126,plain,
( esk12_1(X1) = esk10_1(X1)
| in(X2,esk17_2(X1,X3))
| X4 != X2
| X5 != singleton(X6)
| ordered_pair(X6,X5) != X2
| ~ in(X6,X1)
| ~ in(X4,cartesian_product2(X1,X3)) ),
i_0_51 ).
cnf(c_0_127,negated_conjecture,
( esk10_1(esk1_0) = esk11_1(esk1_0)
| ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),singleton(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))))) != esk3_1(esk17_2(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_116]),c_0_124]) ).
cnf(c_0_128,plain,
( singleton(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) = esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))
| esk10_1(esk1_0) = esk11_1(esk1_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_116]) ).
cnf(c_0_129,plain,
( esk10_1(X1) = esk12_1(X1)
| in(ordered_pair(X2,singleton(X2)),esk17_2(X1,X3))
| ~ in(ordered_pair(X2,singleton(X2)),cartesian_product2(X1,X3))
| ~ in(X2,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_126])])]) ).
cnf(c_0_130,plain,
( esk10_1(X1) = esk11_1(X1)
| ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3)) = X3
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_78 ).
cnf(c_0_131,plain,
( esk10_1(esk1_0) = esk11_1(esk1_0)
| ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) != esk3_1(esk17_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_132,negated_conjecture,
( esk10_1(X1) = esk12_1(X1)
| in(ordered_pair(esk4_1(X2),esk5_1(X2)),esk17_2(X1,X3))
| in(esk3_1(X2),X2)
| ~ in(ordered_pair(esk4_1(X2),esk5_1(X2)),cartesian_product2(X1,X3))
| ~ in(esk4_1(X2),X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_106]) ).
cnf(c_0_133,plain,
esk10_1(esk1_0) = esk11_1(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_116]),c_0_131]) ).
cnf(c_0_134,negated_conjecture,
( esk12_1(esk1_0) = esk11_1(esk1_0)
| in(ordered_pair(esk4_1(X1),esk5_1(X1)),esk17_2(esk1_0,X2))
| in(esk3_1(X1),X1)
| ~ in(ordered_pair(esk4_1(X1),esk5_1(X1)),cartesian_product2(esk1_0,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_108]),c_0_133]) ).
cnf(c_0_135,negated_conjecture,
( esk12_1(esk1_0) = esk11_1(esk1_0)
| in(esk3_1(X1),esk17_2(esk1_0,X2))
| in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),cartesian_product2(esk1_0,X2)) ),
inference(spm,[status(thm)],[c_0_134,c_0_110]) ).
cnf(c_0_136,negated_conjecture,
( esk12_1(esk1_0) = esk11_1(esk1_0)
| in(esk3_1(X1),esk17_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_112]) ).
cnf(c_0_137,plain,
( esk12_1(X1) = esk10_1(X1)
| in(esk19_3(X1,X2,X3),X1)
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_53 ).
cnf(c_0_138,negated_conjecture,
( esk12_1(esk1_0) = esk11_1(esk1_0)
| in(esk3_1(esk17_2(esk1_0,esk2_0)),esk17_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_136]) ).
cnf(c_0_139,plain,
( esk12_1(X1) = esk10_1(X1)
| in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_56 ).
cnf(c_0_140,plain,
( esk12_1(X1) = esk10_1(X1)
| esk18_3(X1,X2,X3) = X3
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_55 ).
cnf(c_0_141,plain,
( esk12_1(esk1_0) = esk11_1(esk1_0)
| in(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_133])]) ).
cnf(c_0_142,plain,
( esk12_1(esk1_0) = esk11_1(esk1_0)
| in(esk18_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),cartesian_product2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_138]),c_0_133])]) ).
cnf(c_0_143,negated_conjecture,
( esk18_3(X1,X2,esk3_1(esk17_2(X1,X2))) = esk3_1(esk17_2(X1,X2))
| esk10_1(X1) = esk12_1(X1)
| in(esk3_1(esk17_2(X1,X2)),cartesian_product2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_140,c_0_112]) ).
cnf(c_0_144,negated_conjecture,
( esk12_1(esk1_0) = esk11_1(esk1_0)
| ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),singleton(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))))) != esk3_1(X1)
| ~ in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0))
| ~ in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_141]) ).
cnf(c_0_145,negated_conjecture,
( esk12_1(esk1_0) = esk11_1(esk1_0)
| in(esk3_1(esk17_2(esk1_0,esk2_0)),cartesian_product2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_133])]) ).
cnf(c_0_146,plain,
( esk12_1(X1) = esk10_1(X1)
| singleton(esk19_3(X1,X2,X3)) = esk20_3(X1,X2,X3)
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_52 ).
cnf(c_0_147,negated_conjecture,
( esk12_1(esk1_0) = esk11_1(esk1_0)
| ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),singleton(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))))) != esk3_1(esk17_2(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_138]),c_0_145]) ).
cnf(c_0_148,plain,
( singleton(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) = esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))
| esk12_1(esk1_0) = esk11_1(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_138]),c_0_133])]) ).
cnf(c_0_149,plain,
( in(X1,esk17_2(X2,X3))
| X4 != X1
| X5 != singleton(X6)
| ordered_pair(X6,X5) != X1
| esk12_1(X2) != esk11_1(X2)
| ~ in(X6,X2)
| ~ in(X4,cartesian_product2(X2,X3)) ),
i_0_27 ).
cnf(c_0_150,plain,
( esk12_1(X1) = esk10_1(X1)
| ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3)) = X3
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_54 ).
cnf(c_0_151,plain,
( esk12_1(esk1_0) = esk11_1(esk1_0)
| ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) != esk3_1(esk17_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_152,plain,
( in(ordered_pair(X1,singleton(X1)),esk17_2(X2,X3))
| esk12_1(X2) != esk11_1(X2)
| ~ in(ordered_pair(X1,singleton(X1)),cartesian_product2(X2,X3))
| ~ in(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_149])])]) ).
cnf(c_0_153,plain,
esk12_1(esk1_0) = esk11_1(esk1_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_138]),c_0_133])]),c_0_151]) ).
cnf(c_0_154,plain,
( in(ordered_pair(X1,singleton(X1)),esk17_2(esk1_0,X2))
| ~ in(ordered_pair(X1,singleton(X1)),cartesian_product2(esk1_0,X2))
| ~ in(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_155,negated_conjecture,
( in(ordered_pair(esk4_1(X1),singleton(esk4_1(X1))),esk17_2(esk1_0,X2))
| in(esk3_1(X1),X1)
| ~ in(ordered_pair(esk4_1(X1),singleton(esk4_1(X1))),cartesian_product2(esk1_0,X2)) ),
inference(spm,[status(thm)],[c_0_154,c_0_108]) ).
cnf(c_0_156,negated_conjecture,
( in(ordered_pair(esk4_1(X1),esk5_1(X1)),esk17_2(esk1_0,X2))
| in(esk3_1(X1),X1)
| ~ in(ordered_pair(esk4_1(X1),esk5_1(X1)),cartesian_product2(esk1_0,X2)) ),
inference(spm,[status(thm)],[c_0_155,c_0_106]) ).
cnf(c_0_157,negated_conjecture,
( in(esk3_1(X1),esk17_2(esk1_0,X2))
| in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),cartesian_product2(esk1_0,X2)) ),
inference(spm,[status(thm)],[c_0_156,c_0_110]) ).
cnf(c_0_158,plain,
( in(esk19_3(X1,X2,X3),X1)
| esk12_1(X1) != esk11_1(X1)
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_29 ).
cnf(c_0_159,negated_conjecture,
( in(esk3_1(X1),esk17_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_112]) ).
cnf(c_0_160,plain,
( singleton(esk19_3(X1,X2,X3)) = esk20_3(X1,X2,X3)
| esk12_1(X1) != esk11_1(X1)
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_28 ).
cnf(c_0_161,plain,
( in(esk18_3(X1,X2,X3),cartesian_product2(X1,X2))
| esk12_1(X1) != esk11_1(X1)
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_32 ).
cnf(c_0_162,plain,
( esk18_3(X1,X2,X3) = X3
| esk12_1(X1) != esk11_1(X1)
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_31 ).
cnf(c_0_163,plain,
( in(esk19_3(esk1_0,X1,X2),esk1_0)
| ~ in(X2,esk17_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_158,c_0_153]) ).
cnf(c_0_164,negated_conjecture,
in(esk3_1(esk17_2(esk1_0,esk2_0)),esk17_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_159]) ).
cnf(c_0_165,plain,
( singleton(esk19_3(esk1_0,X1,X2)) = esk20_3(esk1_0,X1,X2)
| ~ in(X2,esk17_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_160,c_0_153]) ).
cnf(c_0_166,plain,
( in(esk18_3(esk1_0,X1,X2),cartesian_product2(esk1_0,X1))
| ~ in(X2,esk17_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_161,c_0_153]) ).
cnf(c_0_167,plain,
( esk18_3(esk1_0,X1,X2) = X2
| ~ in(X2,esk17_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_162,c_0_153]) ).
cnf(c_0_168,plain,
in(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk1_0),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_169,plain,
singleton(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) = esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_165,c_0_164]) ).
cnf(c_0_170,plain,
in(esk18_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),cartesian_product2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_166,c_0_164]) ).
cnf(c_0_171,plain,
esk18_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))) = esk3_1(esk17_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_167,c_0_164]) ).
cnf(c_0_172,plain,
( ordered_pair(esk19_3(X1,X2,X3),esk20_3(X1,X2,X3)) = X3
| esk12_1(X1) != esk11_1(X1)
| ~ in(X3,esk17_2(X1,X2)) ),
i_0_30 ).
cnf(c_0_173,negated_conjecture,
( ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) != esk3_1(X1)
| ~ in(esk3_1(X1),cartesian_product2(esk1_0,esk2_0))
| ~ in(esk3_1(X1),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_168]),c_0_169]) ).
cnf(c_0_174,plain,
in(esk3_1(esk17_2(esk1_0,esk2_0)),cartesian_product2(esk1_0,esk2_0)),
inference(rw,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_175,plain,
( ordered_pair(esk19_3(esk1_0,X1,X2),esk20_3(esk1_0,X1,X2)) = X2
| ~ in(X2,esk17_2(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_172,c_0_153]) ).
cnf(c_0_176,negated_conjecture,
ordered_pair(esk19_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0))),esk20_3(esk1_0,esk2_0,esk3_1(esk17_2(esk1_0,esk2_0)))) != esk3_1(esk17_2(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_164]),c_0_174])]) ).
cnf(c_0_177,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_164]),c_0_176]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU281+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n012.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 02:46:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 9.19/2.42 # ENIGMATIC: Solved by autoschedule:
% 9.19/2.42 # No SInE strategy applied
% 9.19/2.42 # Trying AutoSched0 for 150 seconds
% 9.19/2.42 # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 9.19/2.42 # and selection function SelectNewComplexAHPNS.
% 9.19/2.42 #
% 9.19/2.42 # Preprocessing time : 0.023 s
% 9.19/2.42
% 9.19/2.42 # Proof found!
% 9.19/2.42 # SZS status Theorem
% 9.19/2.42 # SZS output start CNFRefutation
% See solution above
% 9.19/2.42 # Training examples: 0 positive, 0 negative
% 9.19/2.42
% 9.19/2.42 # -------------------------------------------------
% 9.19/2.42 # User time : 0.164 s
% 9.19/2.42 # System time : 0.010 s
% 9.19/2.42 # Total time : 0.173 s
% 9.19/2.42 # Maximum resident set size: 7124 pages
% 9.19/2.42
%------------------------------------------------------------------------------