%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU298+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 08:40:33 EDT 2022
% Result : Theorem 11.80s 3.16s
% Output : CNFRefutation 11.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of clauses : 89 ( 8 unt; 51 nHn; 80 RR)
% Number of literals : 338 ( 121 equ; 202 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 158 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_903,plain,
( esk180_2(X1,X2) = esk178_2(X1,X2)
| in(X3,esk183_2(X1,X2))
| X4 != X3
| X3 != set_difference(X5,unordered_pair(X1,X1))
| ~ ordinal(X1)
| ~ in(X5,X2)
| ~ in(X4,powerset(X1))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_903) ).
cnf(i_0_906,plain,
( esk184_3(X1,X2,X3) = X3
| esk180_2(X1,X2) = esk178_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_906) ).
cnf(i_0_1069,negated_conjecture,
element(esk224_0,powerset(powerset(set_union2(esk223_0,unordered_pair(esk223_0,esk223_0))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_1069) ).
cnf(i_0_1070,negated_conjecture,
ordinal(esk223_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_1070) ).
cnf(i_0_1067,negated_conjecture,
( in(esk225_1(X1),X1)
| in(esk225_1(X1),powerset(esk223_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_1067) ).
cnf(i_0_907,plain,
( esk180_2(X1,X2) = esk178_2(X1,X2)
| in(esk184_3(X1,X2,X3),powerset(X1))
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_907) ).
cnf(i_0_1065,negated_conjecture,
( set_difference(esk226_1(X1),unordered_pair(esk223_0,esk223_0)) = esk225_1(X1)
| in(esk225_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_1065) ).
cnf(i_0_1066,negated_conjecture,
( in(esk225_1(X1),X1)
| in(esk226_1(X1),esk224_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_1066) ).
cnf(i_0_1068,negated_conjecture,
( esk225_1(X1) != set_difference(X2,unordered_pair(esk223_0,esk223_0))
| ~ in(X2,esk224_0)
| ~ in(esk225_1(X1),X1)
| ~ in(esk225_1(X1),powerset(esk223_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_1068) ).
cnf(i_0_904,plain,
( esk180_2(X1,X2) = esk178_2(X1,X2)
| set_difference(esk185_3(X1,X2,X3),unordered_pair(X1,X1)) = X3
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_904) ).
cnf(i_0_905,plain,
( esk180_2(X1,X2) = esk178_2(X1,X2)
| in(esk185_3(X1,X2,X3),X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_905) ).
cnf(i_0_888,plain,
( in(X1,esk183_2(X2,X3))
| X4 != X1
| X1 != set_difference(X5,unordered_pair(X2,X2))
| esk180_2(X2,X3) != esk179_2(X2,X3)
| ~ ordinal(X2)
| ~ in(X5,X3)
| ~ in(X4,powerset(X2))
| ~ element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_888) ).
cnf(i_0_918,plain,
( esk178_2(X1,X2) = esk179_2(X1,X2)
| in(X3,esk183_2(X1,X2))
| X4 != X3
| X3 != set_difference(X5,unordered_pair(X1,X1))
| ~ ordinal(X1)
| ~ in(X5,X2)
| ~ in(X4,powerset(X1))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_918) ).
cnf(i_0_891,plain,
( esk184_3(X1,X2,X3) = X3
| esk180_2(X1,X2) != esk179_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_891) ).
cnf(i_0_921,plain,
( esk184_3(X1,X2,X3) = X3
| esk178_2(X1,X2) = esk179_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_921) ).
cnf(i_0_892,plain,
( in(esk184_3(X1,X2,X3),powerset(X1))
| esk180_2(X1,X2) != esk179_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_892) ).
cnf(i_0_922,plain,
( esk178_2(X1,X2) = esk179_2(X1,X2)
| in(esk184_3(X1,X2,X3),powerset(X1))
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_922) ).
cnf(i_0_890,plain,
( in(esk185_3(X1,X2,X3),X2)
| esk180_2(X1,X2) != esk179_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_890) ).
cnf(i_0_920,plain,
( esk178_2(X1,X2) = esk179_2(X1,X2)
| in(esk185_3(X1,X2,X3),X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_920) ).
cnf(i_0_919,plain,
( esk178_2(X1,X2) = esk179_2(X1,X2)
| set_difference(esk185_3(X1,X2,X3),unordered_pair(X1,X1)) = X3
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_919) ).
cnf(i_0_889,plain,
( set_difference(esk185_3(X1,X2,X3),unordered_pair(X1,X1)) = X3
| esk180_2(X1,X2) != esk179_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-njpwr8ig/lgb.p',i_0_889) ).
cnf(c_0_1092,plain,
( esk180_2(X1,X2) = esk178_2(X1,X2)
| in(X3,esk183_2(X1,X2))
| X4 != X3
| X3 != set_difference(X5,unordered_pair(X1,X1))
| ~ ordinal(X1)
| ~ in(X5,X2)
| ~ in(X4,powerset(X1))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_903 ).
cnf(c_0_1093,plain,
( esk184_3(X1,X2,X3) = X3
| esk180_2(X1,X2) = esk178_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_906 ).
cnf(c_0_1094,negated_conjecture,
element(esk224_0,powerset(powerset(set_union2(esk223_0,unordered_pair(esk223_0,esk223_0))))),
i_0_1069 ).
cnf(c_0_1095,negated_conjecture,
ordinal(esk223_0),
i_0_1070 ).
cnf(c_0_1096,plain,
( esk180_2(X1,X2) = esk178_2(X1,X2)
| in(X3,esk183_2(X1,X2))
| X3 != set_difference(X4,unordered_pair(X1,X1))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))
| ~ ordinal(X1)
| ~ in(X3,powerset(X1))
| ~ in(X4,X2) ),
inference(er,[status(thm)],[c_0_1092]) ).
cnf(c_0_1097,negated_conjecture,
( esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| esk184_3(esk223_0,esk224_0,X1) = X1
| ~ in(X1,esk183_2(esk223_0,esk224_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1093,c_0_1094]),c_0_1095])]) ).
cnf(c_0_1098,negated_conjecture,
( in(esk225_1(X1),X1)
| in(esk225_1(X1),powerset(esk223_0)) ),
i_0_1067 ).
cnf(c_0_1099,negated_conjecture,
( esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(X1,esk183_2(esk223_0,esk224_0))
| X1 != set_difference(X2,unordered_pair(esk223_0,esk223_0))
| ~ in(X1,powerset(esk223_0))
| ~ in(X2,esk224_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1096,c_0_1094]),c_0_1095])]) ).
cnf(c_0_1100,plain,
( esk180_2(X1,X2) = esk178_2(X1,X2)
| in(esk184_3(X1,X2,X3),powerset(X1))
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_907 ).
cnf(c_0_1101,negated_conjecture,
( esk184_3(esk223_0,esk224_0,esk225_1(esk183_2(esk223_0,esk224_0))) = esk225_1(esk183_2(esk223_0,esk224_0))
| esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(esk225_1(esk183_2(esk223_0,esk224_0)),powerset(esk223_0)) ),
inference(spm,[status(thm)],[c_0_1097,c_0_1098]) ).
cnf(c_0_1102,negated_conjecture,
( esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(set_difference(X1,unordered_pair(esk223_0,esk223_0)),esk183_2(esk223_0,esk224_0))
| ~ in(set_difference(X1,unordered_pair(esk223_0,esk223_0)),powerset(esk223_0))
| ~ in(X1,esk224_0) ),
inference(er,[status(thm)],[c_0_1099]) ).
cnf(c_0_1103,negated_conjecture,
( set_difference(esk226_1(X1),unordered_pair(esk223_0,esk223_0)) = esk225_1(X1)
| in(esk225_1(X1),X1) ),
i_0_1065 ).
cnf(c_0_1104,negated_conjecture,
( in(esk225_1(X1),X1)
| in(esk226_1(X1),esk224_0) ),
i_0_1066 ).
cnf(c_0_1105,negated_conjecture,
( esk225_1(X1) != set_difference(X2,unordered_pair(esk223_0,esk223_0))
| ~ in(X2,esk224_0)
| ~ in(esk225_1(X1),X1)
| ~ in(esk225_1(X1),powerset(esk223_0)) ),
i_0_1068 ).
cnf(c_0_1106,plain,
( esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(esk225_1(esk183_2(esk223_0,esk224_0)),powerset(esk223_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1100,c_0_1101]),c_0_1094]),c_0_1095])]),c_0_1098]) ).
cnf(c_0_1107,negated_conjecture,
( esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(esk225_1(X1),esk183_2(esk223_0,esk224_0))
| in(esk225_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1102,c_0_1103]),c_0_1104]),c_0_1098]) ).
cnf(c_0_1108,plain,
( esk180_2(X1,X2) = esk178_2(X1,X2)
| set_difference(esk185_3(X1,X2,X3),unordered_pair(X1,X1)) = X3
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_904 ).
cnf(c_0_1109,plain,
( esk180_2(X1,X2) = esk178_2(X1,X2)
| in(esk185_3(X1,X2,X3),X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_905 ).
cnf(c_0_1110,plain,
( in(X1,esk183_2(X2,X3))
| X4 != X1
| X1 != set_difference(X5,unordered_pair(X2,X2))
| esk180_2(X2,X3) != esk179_2(X2,X3)
| ~ ordinal(X2)
| ~ in(X5,X3)
| ~ in(X4,powerset(X2))
| ~ element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2))))) ),
i_0_888 ).
cnf(c_0_1111,negated_conjecture,
( esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| esk225_1(esk183_2(esk223_0,esk224_0)) != set_difference(X1,unordered_pair(esk223_0,esk223_0))
| ~ in(esk225_1(esk183_2(esk223_0,esk224_0)),esk183_2(esk223_0,esk224_0))
| ~ in(X1,esk224_0) ),
inference(spm,[status(thm)],[c_0_1105,c_0_1106]) ).
cnf(c_0_1112,negated_conjecture,
( esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(esk225_1(esk183_2(esk223_0,esk224_0)),esk183_2(esk223_0,esk224_0)) ),
inference(ef,[status(thm)],[c_0_1107]) ).
cnf(c_0_1113,negated_conjecture,
( set_difference(esk185_3(esk223_0,esk224_0,X1),unordered_pair(esk223_0,esk223_0)) = X1
| esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| ~ in(X1,esk183_2(esk223_0,esk224_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1108,c_0_1094]),c_0_1095])]) ).
cnf(c_0_1114,negated_conjecture,
( esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(esk185_3(esk223_0,esk224_0,X1),esk224_0)
| ~ in(X1,esk183_2(esk223_0,esk224_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1109,c_0_1094]),c_0_1095])]) ).
cnf(c_0_1115,plain,
( esk178_2(X1,X2) = esk179_2(X1,X2)
| in(X3,esk183_2(X1,X2))
| X4 != X3
| X3 != set_difference(X5,unordered_pair(X1,X1))
| ~ ordinal(X1)
| ~ in(X5,X2)
| ~ in(X4,powerset(X1))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_918 ).
cnf(c_0_1116,plain,
( esk184_3(X1,X2,X3) = X3
| esk180_2(X1,X2) != esk179_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_891 ).
cnf(c_0_1117,plain,
( esk184_3(X1,X2,X3) = X3
| esk178_2(X1,X2) = esk179_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_921 ).
cnf(c_0_1118,plain,
( in(X1,esk183_2(X2,X3))
| X1 != set_difference(X4,unordered_pair(X2,X2))
| esk179_2(X2,X3) != esk180_2(X2,X3)
| ~ element(X3,powerset(powerset(set_union2(X2,unordered_pair(X2,X2)))))
| ~ ordinal(X2)
| ~ in(X1,powerset(X2))
| ~ in(X4,X3) ),
inference(er,[status(thm)],[c_0_1110]) ).
cnf(c_0_1119,negated_conjecture,
( esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| esk225_1(esk183_2(esk223_0,esk224_0)) != set_difference(X1,unordered_pair(esk223_0,esk223_0))
| ~ in(X1,esk224_0) ),
inference(spm,[status(thm)],[c_0_1111,c_0_1112]) ).
cnf(c_0_1120,negated_conjecture,
( set_difference(esk185_3(esk223_0,esk224_0,esk225_1(esk183_2(esk223_0,esk224_0))),unordered_pair(esk223_0,esk223_0)) = esk225_1(esk183_2(esk223_0,esk224_0))
| esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0) ),
inference(spm,[status(thm)],[c_0_1113,c_0_1112]) ).
cnf(c_0_1121,negated_conjecture,
( esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(esk185_3(esk223_0,esk224_0,esk225_1(esk183_2(esk223_0,esk224_0))),esk224_0) ),
inference(spm,[status(thm)],[c_0_1114,c_0_1112]) ).
cnf(c_0_1122,plain,
( esk179_2(X1,X2) = esk178_2(X1,X2)
| in(X3,esk183_2(X1,X2))
| X3 != set_difference(X4,unordered_pair(X1,X1))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1)))))
| ~ ordinal(X1)
| ~ in(X3,powerset(X1))
| ~ in(X4,X2) ),
inference(er,[status(thm)],[c_0_1115]) ).
cnf(c_0_1123,plain,
( in(esk184_3(X1,X2,X3),powerset(X1))
| esk180_2(X1,X2) != esk179_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_892 ).
cnf(c_0_1124,negated_conjecture,
( esk184_3(esk223_0,esk224_0,X1) = X1
| esk179_2(esk223_0,esk224_0) != esk180_2(esk223_0,esk224_0)
| ~ in(X1,esk183_2(esk223_0,esk224_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1116,c_0_1094]),c_0_1095])]) ).
cnf(c_0_1125,negated_conjecture,
( esk179_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| esk184_3(esk223_0,esk224_0,X1) = X1
| ~ in(X1,esk183_2(esk223_0,esk224_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1117,c_0_1094]),c_0_1095])]) ).
cnf(c_0_1126,negated_conjecture,
( in(X1,esk183_2(esk223_0,esk224_0))
| esk179_2(esk223_0,esk224_0) != esk180_2(esk223_0,esk224_0)
| X1 != set_difference(X2,unordered_pair(esk223_0,esk223_0))
| ~ in(X1,powerset(esk223_0))
| ~ in(X2,esk224_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1118,c_0_1094]),c_0_1095])]) ).
cnf(c_0_1127,negated_conjecture,
esk180_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1119,c_0_1120]),c_0_1121]) ).
cnf(c_0_1128,negated_conjecture,
( esk179_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(X1,esk183_2(esk223_0,esk224_0))
| X1 != set_difference(X2,unordered_pair(esk223_0,esk223_0))
| ~ in(X1,powerset(esk223_0))
| ~ in(X2,esk224_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1122,c_0_1094]),c_0_1095])]) ).
cnf(c_0_1129,plain,
( in(X1,powerset(esk223_0))
| esk179_2(esk223_0,esk224_0) != esk180_2(esk223_0,esk224_0)
| ~ in(X1,esk183_2(esk223_0,esk224_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1123,c_0_1124]),c_0_1094]),c_0_1095])]) ).
cnf(c_0_1130,plain,
( esk178_2(X1,X2) = esk179_2(X1,X2)
| in(esk184_3(X1,X2,X3),powerset(X1))
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_922 ).
cnf(c_0_1131,negated_conjecture,
( esk184_3(esk223_0,esk224_0,esk225_1(esk183_2(esk223_0,esk224_0))) = esk225_1(esk183_2(esk223_0,esk224_0))
| esk179_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(esk225_1(esk183_2(esk223_0,esk224_0)),powerset(esk223_0)) ),
inference(spm,[status(thm)],[c_0_1125,c_0_1098]) ).
cnf(c_0_1132,negated_conjecture,
( in(X1,esk183_2(esk223_0,esk224_0))
| X1 != set_difference(X2,unordered_pair(esk223_0,esk223_0))
| ~ in(X1,powerset(esk223_0))
| ~ in(X2,esk224_0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_1126,c_0_1127]),c_0_1128]) ).
cnf(c_0_1133,negated_conjecture,
( in(esk225_1(esk183_2(esk223_0,esk224_0)),powerset(esk223_0))
| esk179_2(esk223_0,esk224_0) != esk180_2(esk223_0,esk224_0) ),
inference(spm,[status(thm)],[c_0_1129,c_0_1098]) ).
cnf(c_0_1134,plain,
( esk179_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(esk225_1(esk183_2(esk223_0,esk224_0)),powerset(esk223_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1130,c_0_1131]),c_0_1094]),c_0_1095])]),c_0_1098]) ).
cnf(c_0_1135,negated_conjecture,
( in(set_difference(X1,unordered_pair(esk223_0,esk223_0)),esk183_2(esk223_0,esk224_0))
| ~ in(set_difference(X1,unordered_pair(esk223_0,esk223_0)),powerset(esk223_0))
| ~ in(X1,esk224_0) ),
inference(er,[status(thm)],[c_0_1132]) ).
cnf(c_0_1136,negated_conjecture,
( esk225_1(esk183_2(esk223_0,esk224_0)) != set_difference(X1,unordered_pair(esk223_0,esk223_0))
| esk179_2(esk223_0,esk224_0) != esk180_2(esk223_0,esk224_0)
| ~ in(esk225_1(esk183_2(esk223_0,esk224_0)),esk183_2(esk223_0,esk224_0))
| ~ in(X1,esk224_0) ),
inference(spm,[status(thm)],[c_0_1105,c_0_1133]) ).
cnf(c_0_1137,negated_conjecture,
( esk179_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| esk225_1(esk183_2(esk223_0,esk224_0)) != set_difference(X1,unordered_pair(esk223_0,esk223_0))
| ~ in(esk225_1(esk183_2(esk223_0,esk224_0)),esk183_2(esk223_0,esk224_0))
| ~ in(X1,esk224_0) ),
inference(spm,[status(thm)],[c_0_1105,c_0_1134]) ).
cnf(c_0_1138,negated_conjecture,
( in(esk225_1(X1),esk183_2(esk223_0,esk224_0))
| in(esk225_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1135,c_0_1103]),c_0_1104]),c_0_1098]) ).
cnf(c_0_1139,negated_conjecture,
( esk179_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(set_difference(X1,unordered_pair(esk223_0,esk223_0)),esk183_2(esk223_0,esk224_0))
| ~ in(set_difference(X1,unordered_pair(esk223_0,esk223_0)),powerset(esk223_0))
| ~ in(X1,esk224_0) ),
inference(er,[status(thm)],[c_0_1128]) ).
cnf(c_0_1140,negated_conjecture,
( esk225_1(esk183_2(esk223_0,esk224_0)) != set_difference(X1,unordered_pair(esk223_0,esk223_0))
| ~ in(esk225_1(esk183_2(esk223_0,esk224_0)),esk183_2(esk223_0,esk224_0))
| ~ in(X1,esk224_0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_1136,c_0_1127]),c_0_1137]) ).
cnf(c_0_1141,negated_conjecture,
in(esk225_1(esk183_2(esk223_0,esk224_0)),esk183_2(esk223_0,esk224_0)),
inference(ef,[status(thm)],[c_0_1138]) ).
cnf(c_0_1142,plain,
( in(esk185_3(X1,X2,X3),X2)
| esk180_2(X1,X2) != esk179_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_890 ).
cnf(c_0_1143,plain,
( esk178_2(X1,X2) = esk179_2(X1,X2)
| in(esk185_3(X1,X2,X3),X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_920 ).
cnf(c_0_1144,plain,
( esk178_2(X1,X2) = esk179_2(X1,X2)
| set_difference(esk185_3(X1,X2,X3),unordered_pair(X1,X1)) = X3
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_919 ).
cnf(c_0_1145,negated_conjecture,
( esk179_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(esk225_1(X1),esk183_2(esk223_0,esk224_0))
| in(esk225_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1139,c_0_1103]),c_0_1104]),c_0_1098]) ).
cnf(c_0_1146,negated_conjecture,
( esk225_1(esk183_2(esk223_0,esk224_0)) != set_difference(X1,unordered_pair(esk223_0,esk223_0))
| ~ in(X1,esk224_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1140,c_0_1141])]) ).
cnf(c_0_1147,plain,
( set_difference(esk185_3(X1,X2,X3),unordered_pair(X1,X1)) = X3
| esk180_2(X1,X2) != esk179_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk183_2(X1,X2))
| ~ element(X2,powerset(powerset(set_union2(X1,unordered_pair(X1,X1))))) ),
i_0_889 ).
cnf(c_0_1148,negated_conjecture,
( in(esk185_3(esk223_0,esk224_0,X1),esk224_0)
| esk179_2(esk223_0,esk224_0) != esk180_2(esk223_0,esk224_0)
| ~ in(X1,esk183_2(esk223_0,esk224_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1142,c_0_1094]),c_0_1095])]) ).
cnf(c_0_1149,negated_conjecture,
( esk179_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(esk185_3(esk223_0,esk224_0,X1),esk224_0)
| ~ in(X1,esk183_2(esk223_0,esk224_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1143,c_0_1094]),c_0_1095])]) ).
cnf(c_0_1150,negated_conjecture,
( set_difference(esk185_3(esk223_0,esk224_0,X1),unordered_pair(esk223_0,esk223_0)) = X1
| esk179_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| ~ in(X1,esk183_2(esk223_0,esk224_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1144,c_0_1094]),c_0_1095])]) ).
cnf(c_0_1151,negated_conjecture,
( esk179_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(esk225_1(esk183_2(esk223_0,esk224_0)),esk183_2(esk223_0,esk224_0)) ),
inference(ef,[status(thm)],[c_0_1145]) ).
cnf(c_0_1152,plain,
( esk179_2(esk223_0,X1) != esk180_2(esk223_0,X1)
| esk225_1(esk183_2(esk223_0,esk224_0)) != X2
| ~ element(X1,powerset(powerset(set_union2(esk223_0,unordered_pair(esk223_0,esk223_0)))))
| ~ in(esk185_3(esk223_0,X1,X2),esk224_0)
| ~ in(X2,esk183_2(esk223_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1146,c_0_1147]),c_0_1095])]) ).
cnf(c_0_1153,negated_conjecture,
( in(esk185_3(esk223_0,esk224_0,X1),esk224_0)
| ~ in(X1,esk183_2(esk223_0,esk224_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_1148,c_0_1127]),c_0_1149]) ).
cnf(c_0_1154,negated_conjecture,
( set_difference(esk185_3(esk223_0,esk224_0,esk225_1(esk183_2(esk223_0,esk224_0))),unordered_pair(esk223_0,esk223_0)) = esk225_1(esk183_2(esk223_0,esk224_0))
| esk179_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0) ),
inference(spm,[status(thm)],[c_0_1150,c_0_1141]) ).
cnf(c_0_1155,negated_conjecture,
( esk179_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0)
| in(esk185_3(esk223_0,esk224_0,esk225_1(esk183_2(esk223_0,esk224_0))),esk224_0) ),
inference(spm,[status(thm)],[c_0_1149,c_0_1151]) ).
cnf(c_0_1156,negated_conjecture,
( esk179_2(esk223_0,esk224_0) != esk178_2(esk223_0,esk224_0)
| esk225_1(esk183_2(esk223_0,esk224_0)) != X1
| ~ in(X1,esk183_2(esk223_0,esk224_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1152,c_0_1094]),c_0_1127]),c_0_1153]) ).
cnf(c_0_1157,negated_conjecture,
esk179_2(esk223_0,esk224_0) = esk178_2(esk223_0,esk224_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1146,c_0_1154]),c_0_1155]) ).
cnf(c_0_1158,negated_conjecture,
( esk225_1(esk183_2(esk223_0,esk224_0)) != X1
| ~ in(X1,esk183_2(esk223_0,esk224_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1156,c_0_1157])]) ).
cnf(c_0_1159,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_1158,c_0_1141]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU298+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n027.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 : Mon Jun 20 06:03:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.80/3.16 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.80/3.16 # No SInE strategy applied
% 11.80/3.16 # Trying AutoSched0 for 150 seconds
% 11.80/3.16 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 11.80/3.16 # and selection function PSelectComplexExceptUniqMaxHorn.
% 11.80/3.16 #
% 11.80/3.16 # Preprocessing time : 0.015 s
% 11.80/3.16
% 11.80/3.16 # Proof found!
% 11.80/3.16 # SZS status Theorem
% 11.80/3.16 # SZS output start CNFRefutation
% See solution above
% 11.80/3.16 # Training examples: 0 positive, 0 negative
% 11.80/3.16
% 11.80/3.16 # -------------------------------------------------
% 11.80/3.16 # User time : 0.126 s
% 11.80/3.16 # System time : 0.007 s
% 11.80/3.16 # Total time : 0.133 s
% 11.80/3.16 # Maximum resident set size: 7136 pages
% 11.80/3.16
%------------------------------------------------------------------------------