%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 08:40:32 EDT 2022
% Result : Theorem 8.74s 2.41s
% Output : CNFRefutation 8.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of clauses : 74 ( 13 unt; 44 nHn; 66 RR)
% Number of literals : 295 ( 70 equ; 176 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 146 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_105,plain,
( esk21_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| in(X4,esk24_3(X1,X2,X3))
| X5 != X4
| ~ relation(X3)
| ~ function(X3)
| ~ in(relation_image(X3,X4),X2)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X5,powerset(relation_dom(X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_105) ).
cnf(i_0_97,plain,
( esk23_3(X1,X2,X3) = esk21_3(X1,X2,X3)
| in(X4,esk24_3(X1,X2,X3))
| X5 != X4
| ~ relation(X3)
| ~ function(X3)
| ~ in(relation_image(X3,X4),X2)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X5,powerset(relation_dom(X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_97) ).
cnf(i_0_6,negated_conjecture,
element(esk2_0,powerset(powerset(esk1_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_6) ).
cnf(i_0_106,plain,
( esk21_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| in(relation_image(X3,X4),X2)
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_106) ).
cnf(i_0_98,plain,
( esk23_3(X1,X2,X3) = esk21_3(X1,X2,X3)
| in(relation_image(X3,X4),X2)
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_98) ).
cnf(i_0_2,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),powerset(relation_dom(esk3_0))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_2) ).
cnf(i_0_4,negated_conjecture,
function(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
relation(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_5) ).
cnf(i_0_1,negated_conjecture,
( in(esk4_1(X1),X1)
| in(relation_image(esk3_0,esk4_1(X1)),esk2_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_1) ).
cnf(i_0_108,plain,
( esk21_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_108) ).
cnf(i_0_107,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk21_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_107) ).
cnf(i_0_100,plain,
( esk23_3(X1,X2,X3) = esk21_3(X1,X2,X3)
| in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_100) ).
cnf(i_0_99,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk23_3(X1,X2,X3) = esk21_3(X1,X2,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_99) ).
cnf(i_0_3,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),powerset(relation_dom(esk3_0)))
| ~ in(relation_image(esk3_0,esk4_1(X1)),esk2_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_3) ).
cnf(i_0_89,plain,
( in(X1,esk24_3(X2,X3,X4))
| X5 != X1
| esk23_3(X2,X3,X4) != esk22_3(X2,X3,X4)
| ~ relation(X4)
| ~ function(X4)
| ~ in(relation_image(X4,X1),X3)
| ~ element(X3,powerset(powerset(X2)))
| ~ in(X5,powerset(relation_dom(X4))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_89) ).
cnf(i_0_91,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk23_3(X1,X2,X3) != esk22_3(X1,X2,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_91) ).
cnf(i_0_90,plain,
( in(relation_image(X1,X2),X3)
| esk23_3(X4,X3,X1) != esk22_3(X4,X3,X1)
| ~ relation(X1)
| ~ function(X1)
| ~ element(X3,powerset(powerset(X4)))
| ~ in(X2,esk24_3(X4,X3,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_90) ).
cnf(i_0_92,plain,
( in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| esk23_3(X1,X2,X3) != esk22_3(X1,X2,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b8tqm5q6/lgb.p',i_0_92) ).
cnf(c_0_127,plain,
( esk21_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| in(X4,esk24_3(X1,X2,X3))
| X5 != X4
| ~ relation(X3)
| ~ function(X3)
| ~ in(relation_image(X3,X4),X2)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X5,powerset(relation_dom(X3))) ),
i_0_105 ).
cnf(c_0_128,plain,
( esk23_3(X1,X2,X3) = esk21_3(X1,X2,X3)
| in(X4,esk24_3(X1,X2,X3))
| X5 != X4
| ~ relation(X3)
| ~ function(X3)
| ~ in(relation_image(X3,X4),X2)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X5,powerset(relation_dom(X3))) ),
i_0_97 ).
cnf(c_0_129,plain,
( esk22_3(X1,X2,X3) = esk21_3(X1,X2,X3)
| in(X4,esk24_3(X1,X2,X3))
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,powerset(relation_dom(X3)))
| ~ in(relation_image(X3,X4),X2) ),
inference(er,[status(thm)],[c_0_127]) ).
cnf(c_0_130,negated_conjecture,
element(esk2_0,powerset(powerset(esk1_0))),
i_0_6 ).
cnf(c_0_131,plain,
( esk21_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| in(relation_image(X3,X4),X2)
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
i_0_106 ).
cnf(c_0_132,plain,
( esk23_3(X1,X2,X3) = esk21_3(X1,X2,X3)
| in(X4,esk24_3(X1,X2,X3))
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,powerset(relation_dom(X3)))
| ~ in(relation_image(X3,X4),X2) ),
inference(er,[status(thm)],[c_0_128]) ).
cnf(c_0_133,plain,
( esk23_3(X1,X2,X3) = esk21_3(X1,X2,X3)
| in(relation_image(X3,X4),X2)
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
i_0_98 ).
cnf(c_0_134,negated_conjecture,
( esk22_3(esk1_0,esk2_0,X1) = esk21_3(esk1_0,esk2_0,X1)
| in(X2,esk24_3(esk1_0,esk2_0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,powerset(relation_dom(X1)))
| ~ in(relation_image(X1,X2),esk2_0) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),powerset(relation_dom(esk3_0))) ),
i_0_2 ).
cnf(c_0_136,negated_conjecture,
function(esk3_0),
i_0_4 ).
cnf(c_0_137,negated_conjecture,
relation(esk3_0),
i_0_5 ).
cnf(c_0_138,negated_conjecture,
( in(esk4_1(X1),X1)
| in(relation_image(esk3_0,esk4_1(X1)),esk2_0) ),
i_0_1 ).
cnf(c_0_139,negated_conjecture,
( esk22_3(esk1_0,esk2_0,X1) = esk21_3(esk1_0,esk2_0,X1)
| in(relation_image(X1,X2),esk2_0)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,esk24_3(esk1_0,esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_131,c_0_130]) ).
cnf(c_0_140,negated_conjecture,
( esk23_3(esk1_0,esk2_0,X1) = esk21_3(esk1_0,esk2_0,X1)
| in(X2,esk24_3(esk1_0,esk2_0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,powerset(relation_dom(X1)))
| ~ in(relation_image(X1,X2),esk2_0) ),
inference(spm,[status(thm)],[c_0_132,c_0_130]) ).
cnf(c_0_141,negated_conjecture,
( esk23_3(esk1_0,esk2_0,X1) = esk21_3(esk1_0,esk2_0,X1)
| in(relation_image(X1,X2),esk2_0)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,esk24_3(esk1_0,esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_133,c_0_130]) ).
cnf(c_0_142,plain,
( esk21_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
i_0_108 ).
cnf(c_0_143,negated_conjecture,
( esk22_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk24_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_137])]),c_0_138]) ).
cnf(c_0_144,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk21_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
i_0_107 ).
cnf(c_0_145,negated_conjecture,
( esk22_3(esk1_0,esk2_0,X1) = esk21_3(esk1_0,esk2_0,X1)
| in(relation_image(esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,X1))),esk2_0)
| in(relation_image(X1,esk4_1(esk24_3(esk1_0,esk2_0,X1))),esk2_0)
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_138]) ).
cnf(c_0_146,plain,
( esk23_3(X1,X2,X3) = esk21_3(X1,X2,X3)
| in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
i_0_100 ).
cnf(c_0_147,negated_conjecture,
( esk23_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk24_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_135]),c_0_136]),c_0_137])]),c_0_138]) ).
cnf(c_0_148,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk23_3(X1,X2,X3) = esk21_3(X1,X2,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
i_0_99 ).
cnf(c_0_149,negated_conjecture,
( esk23_3(esk1_0,esk2_0,X1) = esk21_3(esk1_0,esk2_0,X1)
| in(relation_image(esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,X1))),esk2_0)
| in(relation_image(X1,esk4_1(esk24_3(esk1_0,esk2_0,X1))),esk2_0)
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_138]) ).
cnf(c_0_150,negated_conjecture,
( esk22_3(esk1_0,esk2_0,X1) = esk21_3(esk1_0,esk2_0,X1)
| in(esk25_4(esk1_0,esk2_0,X1,X2),powerset(relation_dom(X1)))
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,esk24_3(esk1_0,esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_142,c_0_130]) ).
cnf(c_0_151,negated_conjecture,
( esk22_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),esk24_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_143]) ).
cnf(c_0_152,negated_conjecture,
( esk22_3(esk1_0,esk2_0,X1) = esk21_3(esk1_0,esk2_0,X1)
| esk25_4(esk1_0,esk2_0,X1,X2) = X2
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,esk24_3(esk1_0,esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_144,c_0_130]) ).
cnf(c_0_153,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),powerset(relation_dom(esk3_0)))
| ~ in(relation_image(esk3_0,esk4_1(X1)),esk2_0) ),
i_0_3 ).
cnf(c_0_154,negated_conjecture,
( esk22_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0)
| in(relation_image(esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_136]),c_0_137])]) ).
cnf(c_0_155,negated_conjecture,
( esk23_3(esk1_0,esk2_0,X1) = esk21_3(esk1_0,esk2_0,X1)
| in(esk25_4(esk1_0,esk2_0,X1,X2),powerset(relation_dom(X1)))
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,esk24_3(esk1_0,esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_146,c_0_130]) ).
cnf(c_0_156,negated_conjecture,
( esk23_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),esk24_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_147]) ).
cnf(c_0_157,negated_conjecture,
( esk23_3(esk1_0,esk2_0,X1) = esk21_3(esk1_0,esk2_0,X1)
| esk25_4(esk1_0,esk2_0,X1,X2) = X2
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,esk24_3(esk1_0,esk2_0,X1)) ),
inference(spm,[status(thm)],[c_0_148,c_0_130]) ).
cnf(c_0_158,negated_conjecture,
( esk23_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0)
| in(relation_image(esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_136]),c_0_137])]) ).
cnf(c_0_159,plain,
( in(X1,esk24_3(X2,X3,X4))
| X5 != X1
| esk23_3(X2,X3,X4) != esk22_3(X2,X3,X4)
| ~ relation(X4)
| ~ function(X4)
| ~ in(relation_image(X4,X1),X3)
| ~ element(X3,powerset(powerset(X2)))
| ~ in(X5,powerset(relation_dom(X4))) ),
i_0_89 ).
cnf(c_0_160,negated_conjecture,
( esk22_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0)
| in(esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))),powerset(relation_dom(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_136]),c_0_137])]) ).
cnf(c_0_161,negated_conjecture,
( esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))
| esk22_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_151]),c_0_136]),c_0_137])]) ).
cnf(c_0_162,negated_conjecture,
( esk22_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0)
| ~ in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_151]),c_0_154]) ).
cnf(c_0_163,negated_conjecture,
( esk23_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0)
| in(esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))),powerset(relation_dom(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_136]),c_0_137])]) ).
cnf(c_0_164,negated_conjecture,
( esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))
| esk23_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_156]),c_0_136]),c_0_137])]) ).
cnf(c_0_165,negated_conjecture,
( esk23_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0)
| ~ in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_156]),c_0_158]) ).
cnf(c_0_166,plain,
( in(X1,esk24_3(X2,X3,X4))
| esk22_3(X2,X3,X4) != esk23_3(X2,X3,X4)
| ~ function(X4)
| ~ relation(X4)
| ~ element(X3,powerset(powerset(X2)))
| ~ in(X1,powerset(relation_dom(X4)))
| ~ in(relation_image(X4,X1),X3) ),
inference(er,[status(thm)],[c_0_159]) ).
cnf(c_0_167,negated_conjecture,
esk22_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162]) ).
cnf(c_0_168,negated_conjecture,
esk23_3(esk1_0,esk2_0,esk3_0) = esk21_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165]) ).
cnf(c_0_169,plain,
( in(X1,esk24_3(esk1_0,esk2_0,esk3_0))
| ~ in(X1,powerset(relation_dom(esk3_0)))
| ~ in(relation_image(esk3_0,X1),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]),c_0_136]),c_0_137]),c_0_130])]) ).
cnf(c_0_170,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk23_3(X1,X2,X3) != esk22_3(X1,X2,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
i_0_91 ).
cnf(c_0_171,plain,
( in(relation_image(X1,X2),X3)
| esk23_3(X4,X3,X1) != esk22_3(X4,X3,X1)
| ~ relation(X1)
| ~ function(X1)
| ~ element(X3,powerset(powerset(X4)))
| ~ in(X2,esk24_3(X4,X3,X1)) ),
i_0_90 ).
cnf(c_0_172,negated_conjecture,
( in(esk4_1(X1),esk24_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_135]),c_0_138]) ).
cnf(c_0_173,plain,
( esk25_4(esk1_0,esk2_0,esk3_0,X1) = X1
| ~ in(X1,esk24_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_167]),c_0_168]),c_0_136]),c_0_137]),c_0_130])]) ).
cnf(c_0_174,plain,
( in(relation_image(esk3_0,X1),esk2_0)
| ~ in(X1,esk24_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_167]),c_0_168]),c_0_136]),c_0_137]),c_0_130])]) ).
cnf(c_0_175,negated_conjecture,
in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),esk24_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_172]) ).
cnf(c_0_176,plain,
( in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| esk23_3(X1,X2,X3) != esk22_3(X1,X2,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X4,esk24_3(X1,X2,X3)) ),
i_0_92 ).
cnf(c_0_177,plain,
( esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(X1)) = esk4_1(X1)
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_172]) ).
cnf(c_0_178,plain,
in(relation_image(esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))),esk2_0),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_179,plain,
( in(esk25_4(esk1_0,esk2_0,esk3_0,X1),powerset(relation_dom(esk3_0)))
| ~ in(X1,esk24_3(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_167]),c_0_168]),c_0_136]),c_0_137]),c_0_130])]) ).
cnf(c_0_180,plain,
esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_173,c_0_177]) ).
cnf(c_0_181,negated_conjecture,
~ in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_175]),c_0_178])]) ).
cnf(c_0_182,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_175]),c_0_180]),c_0_181]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jun 19 00:25:04 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected complete mode:
% 8.74/2.41 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.74/2.41 # No SInE strategy applied
% 8.74/2.41 # Trying AutoSched0 for 150 seconds
% 8.74/2.41 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 8.74/2.41 # and selection function SelectCQArNTNpEqFirst.
% 8.74/2.41 #
% 8.74/2.41 # Preprocessing time : 0.024 s
% 8.74/2.41 # Presaturation interreduction done
% 8.74/2.41
% 8.74/2.41 # Proof found!
% 8.74/2.41 # SZS status Theorem
% 8.74/2.41 # SZS output start CNFRefutation
% See solution above
% 8.74/2.41 # Training examples: 0 positive, 0 negative
% 8.74/2.41
% 8.74/2.41 # -------------------------------------------------
% 8.74/2.41 # User time : 0.034 s
% 8.74/2.41 # System time : 0.008 s
% 8.74/2.41 # Total time : 0.043 s
% 8.74/2.41 # Maximum resident set size: 7124 pages
% 8.74/2.41
%------------------------------------------------------------------------------