TSTP Solution File: SEU298+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU298+1 : 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 8.48s 2.43s
% Output : CNFRefutation 8.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of clauses : 81 ( 9 unt; 48 nHn; 74 RR)
% Number of literals : 314 ( 110 equ; 187 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 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 : 154 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_116,plain,
( esk23_2(X1,X2) = esk21_2(X1,X2)
| in(X3,esk26_2(X1,X2))
| X4 != X3
| X3 != set_difference(X5,singleton(X1))
| ~ ordinal(X1)
| ~ in(X5,X2)
| ~ in(X4,powerset(X1))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_116) ).
cnf(i_0_5,negated_conjecture,
element(esk2_0,powerset(powerset(succ(esk1_0)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
ordinal(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_6) ).
cnf(i_0_1,negated_conjecture,
( set_difference(esk4_1(X1),singleton(esk1_0)) = esk3_1(X1)
| in(esk3_1(X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_1) ).
cnf(i_0_2,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk4_1(X1),esk2_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),powerset(esk1_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_3) ).
cnf(i_0_119,plain,
( esk27_3(X1,X2,X3) = X3
| esk23_2(X1,X2) = esk21_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_119) ).
cnf(i_0_120,plain,
( esk23_2(X1,X2) = esk21_2(X1,X2)
| in(esk27_3(X1,X2,X3),powerset(X1))
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_120) ).
cnf(i_0_117,plain,
( esk23_2(X1,X2) = esk21_2(X1,X2)
| set_difference(esk28_3(X1,X2,X3),singleton(X1)) = X3
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_117) ).
cnf(i_0_118,plain,
( esk23_2(X1,X2) = esk21_2(X1,X2)
| in(esk28_3(X1,X2,X3),X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_118) ).
cnf(i_0_101,plain,
( in(X1,esk26_2(X2,X3))
| X4 != X1
| X1 != set_difference(X5,singleton(X2))
| esk23_2(X2,X3) != esk22_2(X2,X3)
| ~ ordinal(X2)
| ~ in(X5,X3)
| ~ in(X4,powerset(X2))
| ~ element(X3,powerset(powerset(succ(X2)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_101) ).
cnf(i_0_4,negated_conjecture,
( esk3_1(X1) != set_difference(X2,singleton(esk1_0))
| ~ in(X2,esk2_0)
| ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),powerset(esk1_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_4) ).
cnf(i_0_131,plain,
( esk21_2(X1,X2) = esk22_2(X1,X2)
| in(X3,esk26_2(X1,X2))
| X4 != X3
| X3 != set_difference(X5,singleton(X1))
| ~ ordinal(X1)
| ~ in(X5,X2)
| ~ in(X4,powerset(X1))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_131) ).
cnf(i_0_105,plain,
( in(esk27_3(X1,X2,X3),powerset(X1))
| esk23_2(X1,X2) != esk22_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_105) ).
cnf(i_0_104,plain,
( esk27_3(X1,X2,X3) = X3
| esk23_2(X1,X2) != esk22_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_104) ).
cnf(i_0_134,plain,
( esk27_3(X1,X2,X3) = X3
| esk21_2(X1,X2) = esk22_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_134) ).
cnf(i_0_135,plain,
( esk21_2(X1,X2) = esk22_2(X1,X2)
| in(esk27_3(X1,X2,X3),powerset(X1))
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_135) ).
cnf(i_0_132,plain,
( esk21_2(X1,X2) = esk22_2(X1,X2)
| set_difference(esk28_3(X1,X2,X3),singleton(X1)) = X3
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_132) ).
cnf(i_0_133,plain,
( esk21_2(X1,X2) = esk22_2(X1,X2)
| in(esk28_3(X1,X2,X3),X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_133) ).
cnf(i_0_102,plain,
( set_difference(esk28_3(X1,X2,X3),singleton(X1)) = X3
| esk23_2(X1,X2) != esk22_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_102) ).
cnf(i_0_103,plain,
( in(esk28_3(X1,X2,X3),X2)
| esk23_2(X1,X2) != esk22_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufcfoly0/lgb.p',i_0_103) ).
cnf(c_0_157,plain,
( esk23_2(X1,X2) = esk21_2(X1,X2)
| in(X3,esk26_2(X1,X2))
| X4 != X3
| X3 != set_difference(X5,singleton(X1))
| ~ ordinal(X1)
| ~ in(X5,X2)
| ~ in(X4,powerset(X1))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_116 ).
cnf(c_0_158,plain,
( esk23_2(X1,X2) = esk21_2(X1,X2)
| in(X3,esk26_2(X1,X2))
| X3 != set_difference(X4,singleton(X1))
| ~ ordinal(X1)
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ in(X3,powerset(X1))
| ~ in(X4,X2) ),
inference(er,[status(thm)],[c_0_157]) ).
cnf(c_0_159,negated_conjecture,
element(esk2_0,powerset(powerset(succ(esk1_0)))),
i_0_5 ).
cnf(c_0_160,negated_conjecture,
ordinal(esk1_0),
i_0_6 ).
cnf(c_0_161,negated_conjecture,
( esk23_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| in(X1,esk26_2(esk1_0,esk2_0))
| X1 != set_difference(X2,singleton(esk1_0))
| ~ in(X1,powerset(esk1_0))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160])]) ).
cnf(c_0_162,negated_conjecture,
( set_difference(esk4_1(X1),singleton(esk1_0)) = esk3_1(X1)
| in(esk3_1(X1),X1) ),
i_0_1 ).
cnf(c_0_163,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk4_1(X1),esk2_0) ),
i_0_2 ).
cnf(c_0_164,negated_conjecture,
( esk23_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| in(X1,esk26_2(esk1_0,esk2_0))
| in(esk3_1(X2),X2)
| X1 != esk3_1(X2)
| ~ in(X1,powerset(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_165,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),powerset(esk1_0)) ),
i_0_3 ).
cnf(c_0_166,plain,
( esk27_3(X1,X2,X3) = X3
| esk23_2(X1,X2) = esk21_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_119 ).
cnf(c_0_167,negated_conjecture,
( esk23_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk26_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1)
| in(esk3_1(X2),X2)
| esk3_1(X1) != esk3_1(X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_168,negated_conjecture,
( esk23_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| esk27_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk26_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_159]),c_0_160])]) ).
cnf(c_0_169,negated_conjecture,
( esk23_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| in(esk3_1(esk26_2(esk1_0,esk2_0)),esk26_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_167]) ).
cnf(c_0_170,plain,
( esk23_2(X1,X2) = esk21_2(X1,X2)
| in(esk27_3(X1,X2,X3),powerset(X1))
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_120 ).
cnf(c_0_171,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))) = esk3_1(esk26_2(esk1_0,esk2_0))
| esk23_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_172,plain,
( esk23_2(X1,X2) = esk21_2(X1,X2)
| set_difference(esk28_3(X1,X2,X3),singleton(X1)) = X3
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_117 ).
cnf(c_0_173,plain,
( esk23_2(X1,X2) = esk21_2(X1,X2)
| in(esk28_3(X1,X2,X3),X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_118 ).
cnf(c_0_174,plain,
( in(X1,esk26_2(X2,X3))
| X4 != X1
| X1 != set_difference(X5,singleton(X2))
| esk23_2(X2,X3) != esk22_2(X2,X3)
| ~ ordinal(X2)
| ~ in(X5,X3)
| ~ in(X4,powerset(X2))
| ~ element(X3,powerset(powerset(succ(X2)))) ),
i_0_101 ).
cnf(c_0_175,negated_conjecture,
( esk3_1(X1) != set_difference(X2,singleton(esk1_0))
| ~ in(X2,esk2_0)
| ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),powerset(esk1_0)) ),
i_0_4 ).
cnf(c_0_176,plain,
( esk23_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_160]),c_0_159])]),c_0_165]) ).
cnf(c_0_177,negated_conjecture,
( set_difference(esk28_3(esk1_0,esk2_0,X1),singleton(esk1_0)) = X1
| esk23_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| ~ in(X1,esk26_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_159]),c_0_160])]) ).
cnf(c_0_178,negated_conjecture,
( esk23_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| in(esk28_3(esk1_0,esk2_0,X1),esk2_0)
| ~ in(X1,esk26_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_159]),c_0_160])]) ).
cnf(c_0_179,plain,
( esk21_2(X1,X2) = esk22_2(X1,X2)
| in(X3,esk26_2(X1,X2))
| X4 != X3
| X3 != set_difference(X5,singleton(X1))
| ~ ordinal(X1)
| ~ in(X5,X2)
| ~ in(X4,powerset(X1))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_131 ).
cnf(c_0_180,plain,
( in(esk27_3(X1,X2,X3),powerset(X1))
| esk23_2(X1,X2) != esk22_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_105 ).
cnf(c_0_181,plain,
( esk27_3(X1,X2,X3) = X3
| esk23_2(X1,X2) != esk22_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_104 ).
cnf(c_0_182,plain,
( esk27_3(X1,X2,X3) = X3
| esk21_2(X1,X2) = esk22_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_134 ).
cnf(c_0_183,plain,
( in(X1,esk26_2(X2,X3))
| esk22_2(X2,X3) != esk23_2(X2,X3)
| X1 != set_difference(X4,singleton(X2))
| ~ ordinal(X2)
| ~ element(X3,powerset(powerset(succ(X2))))
| ~ in(X1,powerset(X2))
| ~ in(X4,X3) ),
inference(er,[status(thm)],[c_0_174]) ).
cnf(c_0_184,negated_conjecture,
( esk23_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| set_difference(X1,singleton(esk1_0)) != esk3_1(esk26_2(esk1_0,esk2_0))
| ~ in(X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_169]) ).
cnf(c_0_185,negated_conjecture,
( set_difference(esk28_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),singleton(esk1_0)) = esk3_1(esk26_2(esk1_0,esk2_0))
| esk23_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_177,c_0_169]) ).
cnf(c_0_186,negated_conjecture,
( esk23_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| in(esk28_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),esk2_0) ),
inference(spm,[status(thm)],[c_0_178,c_0_169]) ).
cnf(c_0_187,plain,
( esk22_2(X1,X2) = esk21_2(X1,X2)
| in(X3,esk26_2(X1,X2))
| X3 != set_difference(X4,singleton(X1))
| ~ ordinal(X1)
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ in(X3,powerset(X1))
| ~ in(X4,X2) ),
inference(er,[status(thm)],[c_0_179]) ).
cnf(c_0_188,plain,
( in(X1,powerset(X2))
| esk22_2(X2,X3) != esk23_2(X2,X3)
| ~ ordinal(X2)
| ~ element(X3,powerset(powerset(succ(X2))))
| ~ in(X1,esk26_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_189,negated_conjecture,
( esk22_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| esk27_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk26_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_159]),c_0_160])]) ).
cnf(c_0_190,negated_conjecture,
( in(X1,esk26_2(esk1_0,esk2_0))
| esk22_2(esk1_0,esk2_0) != esk23_2(esk1_0,esk2_0)
| X1 != set_difference(X2,singleton(esk1_0))
| ~ in(X1,powerset(esk1_0))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_159]),c_0_160])]) ).
cnf(c_0_191,negated_conjecture,
esk23_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]) ).
cnf(c_0_192,negated_conjecture,
( esk22_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| in(X1,esk26_2(esk1_0,esk2_0))
| X1 != set_difference(X2,singleton(esk1_0))
| ~ in(X1,powerset(esk1_0))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_159]),c_0_160])]) ).
cnf(c_0_193,negated_conjecture,
( in(X1,powerset(esk1_0))
| esk22_2(esk1_0,esk2_0) != esk23_2(esk1_0,esk2_0)
| ~ in(X1,esk26_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_159]),c_0_160])]) ).
cnf(c_0_194,plain,
( esk21_2(X1,X2) = esk22_2(X1,X2)
| in(esk27_3(X1,X2,X3),powerset(X1))
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_135 ).
cnf(c_0_195,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))) = esk3_1(esk26_2(esk1_0,esk2_0))
| esk22_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_189,c_0_165]) ).
cnf(c_0_196,negated_conjecture,
( in(X1,esk26_2(esk1_0,esk2_0))
| X1 != set_difference(X2,singleton(esk1_0))
| ~ in(X1,powerset(esk1_0))
| ~ in(X2,esk2_0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_191]),c_0_192]) ).
cnf(c_0_197,negated_conjecture,
( in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0))
| esk22_2(esk1_0,esk2_0) != esk23_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_193,c_0_165]) ).
cnf(c_0_198,plain,
( esk22_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_160]),c_0_159])]),c_0_165]) ).
cnf(c_0_199,negated_conjecture,
( in(set_difference(X1,singleton(esk1_0)),esk26_2(esk1_0,esk2_0))
| ~ in(set_difference(X1,singleton(esk1_0)),powerset(esk1_0))
| ~ in(X1,esk2_0) ),
inference(er,[status(thm)],[c_0_196]) ).
cnf(c_0_200,negated_conjecture,
in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_191]),c_0_198]) ).
cnf(c_0_201,negated_conjecture,
( in(esk3_1(X1),esk26_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_162]),c_0_163]),c_0_165]) ).
cnf(c_0_202,plain,
( esk21_2(X1,X2) = esk22_2(X1,X2)
| set_difference(esk28_3(X1,X2,X3),singleton(X1)) = X3
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_132 ).
cnf(c_0_203,plain,
( esk21_2(X1,X2) = esk22_2(X1,X2)
| in(esk28_3(X1,X2,X3),X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_133 ).
cnf(c_0_204,negated_conjecture,
( set_difference(X1,singleton(esk1_0)) != esk3_1(esk26_2(esk1_0,esk2_0))
| ~ in(esk3_1(esk26_2(esk1_0,esk2_0)),esk26_2(esk1_0,esk2_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_175,c_0_200]) ).
cnf(c_0_205,negated_conjecture,
in(esk3_1(esk26_2(esk1_0,esk2_0)),esk26_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_201]) ).
cnf(c_0_206,negated_conjecture,
( set_difference(esk28_3(esk1_0,esk2_0,X1),singleton(esk1_0)) = X1
| esk22_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| ~ in(X1,esk26_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_159]),c_0_160])]) ).
cnf(c_0_207,negated_conjecture,
( esk22_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| in(esk28_3(esk1_0,esk2_0,X1),esk2_0)
| ~ in(X1,esk26_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_159]),c_0_160])]) ).
cnf(c_0_208,negated_conjecture,
( set_difference(X1,singleton(esk1_0)) != esk3_1(esk26_2(esk1_0,esk2_0))
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_205])]) ).
cnf(c_0_209,plain,
( set_difference(esk28_3(X1,X2,X3),singleton(X1)) = X3
| esk23_2(X1,X2) != esk22_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_102 ).
cnf(c_0_210,negated_conjecture,
( set_difference(esk28_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),singleton(esk1_0)) = esk3_1(esk26_2(esk1_0,esk2_0))
| esk22_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_206,c_0_205]) ).
cnf(c_0_211,negated_conjecture,
( esk22_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0)
| in(esk28_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),esk2_0) ),
inference(spm,[status(thm)],[c_0_207,c_0_205]) ).
cnf(c_0_212,plain,
( esk22_2(esk1_0,X1) != esk23_2(esk1_0,X1)
| X2 != esk3_1(esk26_2(esk1_0,esk2_0))
| ~ element(X1,powerset(powerset(succ(esk1_0))))
| ~ in(esk28_3(esk1_0,X1,X2),esk2_0)
| ~ in(X2,esk26_2(esk1_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_160])]) ).
cnf(c_0_213,plain,
( in(esk28_3(X1,X2,X3),X2)
| esk23_2(X1,X2) != esk22_2(X1,X2)
| ~ ordinal(X1)
| ~ in(X3,esk26_2(X1,X2))
| ~ element(X2,powerset(powerset(succ(X1)))) ),
i_0_103 ).
cnf(c_0_214,negated_conjecture,
esk22_2(esk1_0,esk2_0) = esk21_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_210]),c_0_211]) ).
cnf(c_0_215,plain,
( X1 != esk3_1(esk26_2(esk1_0,esk2_0))
| ~ in(X1,esk26_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_191]),c_0_159]),c_0_160])]),c_0_214])]) ).
cnf(c_0_216,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_215,c_0_205]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU298+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 : 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 00:52:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.48/2.43 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.48/2.43 # No SInE strategy applied
% 8.48/2.43 # Trying AutoSched0 for 150 seconds
% 8.48/2.43 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 8.48/2.43 # and selection function PSelectComplexExceptUniqMaxHorn.
% 8.48/2.43 #
% 8.48/2.43 # Preprocessing time : 0.026 s
% 8.48/2.43
% 8.48/2.43 # Proof found!
% 8.48/2.43 # SZS status Theorem
% 8.48/2.43 # SZS output start CNFRefutation
% See solution above
% 8.48/2.43 # Training examples: 0 positive, 0 negative
% 8.48/2.43
% 8.48/2.43 # -------------------------------------------------
% 8.48/2.43 # User time : 0.042 s
% 8.48/2.43 # System time : 0.006 s
% 8.48/2.43 # Total time : 0.049 s
% 8.48/2.43 # Maximum resident set size: 7120 pages
% 8.48/2.43
%------------------------------------------------------------------------------