TSTP Solution File: SEU314+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU314+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 08:40:42 EDT 2022
% Result : Theorem 9.74s 2.65s
% Output : CNFRefutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 30
% Syntax : Number of clauses : 151 ( 16 unt; 110 nHn; 136 RR)
% Number of literals : 586 ( 172 equ; 298 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-3 aty)
% Number of variables : 203 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_104,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| X3 != X4
| X5 != X3
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ closed_subset(X4,X1)
| ~ subset(X2,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X4,powerset(the_carrier(X1)))
| ~ in(X5,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_104) ).
cnf(i_0_4,negated_conjecture,
( in(esk3_1(X1),X1)
| element(esk4_1(X1),powerset(the_carrier(esk1_0))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_4) ).
cnf(i_0_8,negated_conjecture,
top_str(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
topological_space(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_9) ).
cnf(i_0_2,negated_conjecture,
( in(esk3_1(X1),X1)
| closed_subset(esk4_1(X1),esk1_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
( esk3_1(X1) = esk4_1(X1)
| in(esk3_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_3) ).
cnf(i_0_5,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),powerset(the_carrier(esk1_0))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_5) ).
cnf(i_0_106,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| closed_subset(esk16_3(X1,X2,X3),X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_106) ).
cnf(i_0_7,negated_conjecture,
element(esk2_0,powerset(the_carrier(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_7) ).
cnf(i_0_107,plain,
( esk16_3(X1,X2,X3) = X3
| esk11_2(X1,X2) = esk9_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_107) ).
cnf(i_0_110,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_110) ).
cnf(i_0_109,plain,
( esk15_3(X1,X2,X3) = X3
| esk11_2(X1,X2) = esk9_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_109) ).
cnf(i_0_108,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_108) ).
cnf(i_0_1,negated_conjecture,
( in(esk3_1(X1),X1)
| subset(esk2_0,esk3_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_1) ).
cnf(i_0_105,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| subset(X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_105) ).
cnf(i_0_6,negated_conjecture,
( X1 != esk3_1(X2)
| ~ closed_subset(X1,esk1_0)
| ~ in(esk3_1(X2),X2)
| ~ subset(esk2_0,esk3_1(X2))
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ in(esk3_1(X2),powerset(the_carrier(esk1_0))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_6) ).
cnf(i_0_139,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| X3 != X4
| X5 != X3
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ closed_subset(X4,X1)
| ~ subset(X2,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X4,powerset(the_carrier(X1)))
| ~ in(X5,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_139) ).
cnf(i_0_141,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| closed_subset(esk16_3(X1,X2,X3),X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_141) ).
cnf(i_0_142,plain,
( esk16_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_142) ).
cnf(i_0_145,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_145) ).
cnf(i_0_144,plain,
( esk15_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_144) ).
cnf(i_0_140,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| subset(X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_140) ).
cnf(i_0_143,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_143) ).
cnf(i_0_69,plain,
( in(X1,esk14_2(X2,X3))
| X1 != X4
| X5 != X1
| esk11_2(X2,X3) != esk10_2(X2,X3)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ closed_subset(X4,X2)
| ~ subset(X3,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X4,powerset(the_carrier(X2)))
| ~ in(X5,powerset(the_carrier(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_69) ).
cnf(i_0_73,plain,
( element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_73) ).
cnf(i_0_72,plain,
( esk16_3(X1,X2,X3) = X3
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_72) ).
cnf(i_0_75,plain,
( in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_75) ).
cnf(i_0_74,plain,
( esk15_3(X1,X2,X3) = X3
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_74) ).
cnf(i_0_70,plain,
( subset(X1,X2)
| esk11_2(X3,X1) != esk10_2(X3,X1)
| ~ topological_space(X3)
| ~ top_str(X3)
| ~ in(X2,esk14_2(X3,X1))
| ~ element(X1,powerset(the_carrier(X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_70) ).
cnf(i_0_71,plain,
( closed_subset(esk16_3(X1,X2,X3),X1)
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7no8j3lc/lgb.p',i_0_71) ).
cnf(c_0_176,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| X3 != X4
| X5 != X3
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ closed_subset(X4,X1)
| ~ subset(X2,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X4,powerset(the_carrier(X1)))
| ~ in(X5,powerset(the_carrier(X1))) ),
i_0_104 ).
cnf(c_0_177,plain,
( esk9_2(X1,X2) = esk11_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ subset(X2,X3)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ closed_subset(X3,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_176])]) ).
cnf(c_0_178,negated_conjecture,
( in(esk3_1(X1),X1)
| element(esk4_1(X1),powerset(the_carrier(esk1_0))) ),
i_0_4 ).
cnf(c_0_179,negated_conjecture,
top_str(esk1_0),
i_0_8 ).
cnf(c_0_180,negated_conjecture,
topological_space(esk1_0),
i_0_9 ).
cnf(c_0_181,negated_conjecture,
( in(esk3_1(X1),X1)
| closed_subset(esk4_1(X1),esk1_0) ),
i_0_2 ).
cnf(c_0_182,negated_conjecture,
( esk9_2(esk1_0,X1) = esk11_2(esk1_0,X1)
| in(esk4_1(X2),esk14_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ subset(X1,esk4_1(X2))
| ~ in(esk4_1(X2),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]),c_0_180])]),c_0_181]) ).
cnf(c_0_183,negated_conjecture,
( esk3_1(X1) = esk4_1(X1)
| in(esk3_1(X1),X1) ),
i_0_3 ).
cnf(c_0_184,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),powerset(the_carrier(esk1_0))) ),
i_0_5 ).
cnf(c_0_185,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| closed_subset(esk16_3(X1,X2,X3),X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_106 ).
cnf(c_0_186,negated_conjecture,
element(esk2_0,powerset(the_carrier(esk1_0))),
i_0_7 ).
cnf(c_0_187,plain,
( esk16_3(X1,X2,X3) = X3
| esk11_2(X1,X2) = esk9_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_107 ).
cnf(c_0_188,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_110 ).
cnf(c_0_189,plain,
( esk15_3(X1,X2,X3) = X3
| esk11_2(X1,X2) = esk9_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_109 ).
cnf(c_0_190,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_108 ).
cnf(c_0_191,negated_conjecture,
( esk9_2(esk1_0,X1) = esk11_2(esk1_0,X1)
| in(esk3_1(X2),esk14_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ subset(X1,esk3_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
cnf(c_0_192,negated_conjecture,
( in(esk3_1(X1),X1)
| subset(esk2_0,esk3_1(X1)) ),
i_0_1 ).
cnf(c_0_193,plain,
( esk11_2(X1,X2) = esk9_2(X1,X2)
| subset(X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_105 ).
cnf(c_0_194,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk16_3(esk1_0,esk2_0,X1),esk1_0)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_195,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| esk16_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_196,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk15_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_197,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| esk15_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_198,negated_conjecture,
( esk4_1(esk14_2(X1,X2)) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk11_2(X1,X2)
| element(esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(spm,[status(thm)],[c_0_190,c_0_183]) ).
cnf(c_0_199,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk14_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_186])]) ).
cnf(c_0_200,negated_conjecture,
( esk9_2(X1,X2) = esk11_2(X1,X2)
| element(esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))),powerset(the_carrier(X1)))
| element(esk4_1(esk14_2(X1,X2)),powerset(the_carrier(esk1_0)))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(spm,[status(thm)],[c_0_190,c_0_178]) ).
cnf(c_0_201,negated_conjecture,
( element(esk3_1(X1),powerset(the_carrier(esk1_0)))
| in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_183]) ).
cnf(c_0_202,negated_conjecture,
( X1 != esk3_1(X2)
| ~ closed_subset(X1,esk1_0)
| ~ in(esk3_1(X2),X2)
| ~ subset(esk2_0,esk3_1(X2))
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ in(esk3_1(X2),powerset(the_carrier(esk1_0))) ),
i_0_6 ).
cnf(c_0_203,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| subset(esk2_0,X1)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_204,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),esk1_0) ),
inference(spm,[status(thm)],[c_0_194,c_0_183]) ).
cnf(c_0_205,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_195,c_0_183]) ).
cnf(c_0_206,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_196,c_0_184]) ).
cnf(c_0_207,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_197,c_0_184]) ).
cnf(c_0_208,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_209,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| X3 != X4
| X5 != X3
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ closed_subset(X4,X1)
| ~ subset(X2,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X4,powerset(the_carrier(X1)))
| ~ in(X5,powerset(the_carrier(X1))) ),
i_0_139 ).
cnf(c_0_210,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_199]) ).
cnf(c_0_211,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| element(esk4_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_212,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_195,c_0_201]) ).
cnf(c_0_213,negated_conjecture,
( ~ element(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ subset(esk2_0,esk3_1(X1))
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ in(esk3_1(X1),X1)
| ~ closed_subset(esk3_1(X1),esk1_0) ),
inference(er,[status(thm)],[c_0_202]) ).
cnf(c_0_214,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| subset(esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_203,c_0_183]) ).
cnf(c_0_215,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_216,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_217,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_208,c_0_205]) ).
cnf(c_0_218,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| closed_subset(esk16_3(X1,X2,X3),X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_141 ).
cnf(c_0_219,plain,
( esk16_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_142 ).
cnf(c_0_220,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_145 ).
cnf(c_0_221,plain,
( esk15_3(X1,X2,X3) = X3
| esk9_2(X1,X2) = esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_144 ).
cnf(c_0_222,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk14_2(X1,X2))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ subset(X2,X3)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ closed_subset(X3,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_209])]) ).
cnf(c_0_223,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),esk1_0) ),
inference(spm,[status(thm)],[c_0_194,c_0_210]) ).
cnf(c_0_224,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_195,c_0_210]) ).
cnf(c_0_225,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk4_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_226,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215]),c_0_183]),c_0_216]),c_0_217]) ).
cnf(c_0_227,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| subset(X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_140 ).
cnf(c_0_228,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| closed_subset(esk16_3(esk1_0,esk2_0,X1),esk1_0)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_229,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| esk16_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_230,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk15_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_231,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| esk15_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_232,negated_conjecture,
( esk9_2(esk1_0,X1) = esk10_2(esk1_0,X1)
| in(esk4_1(X2),esk14_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ subset(X1,esk4_1(X2))
| ~ in(esk4_1(X2),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_178]),c_0_179]),c_0_180])]),c_0_181]) ).
cnf(c_0_233,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| subset(esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_203,c_0_210]) ).
cnf(c_0_234,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_235,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_236,plain,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_143 ).
cnf(c_0_237,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| subset(esk2_0,X1)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_238,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| closed_subset(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),esk1_0) ),
inference(spm,[status(thm)],[c_0_228,c_0_183]) ).
cnf(c_0_239,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_229,c_0_183]) ).
cnf(c_0_240,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_230,c_0_184]) ).
cnf(c_0_241,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_231,c_0_184]) ).
cnf(c_0_242,negated_conjecture,
( esk9_2(esk1_0,X1) = esk10_2(esk1_0,X1)
| in(esk3_1(X2),esk14_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ subset(X1,esk3_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_183]),c_0_184]) ).
cnf(c_0_243,negated_conjecture,
esk9_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_233]),c_0_234]),c_0_210]),c_0_216]),c_0_235]) ).
cnf(c_0_244,negated_conjecture,
( esk9_2(X1,X2) = esk10_2(X1,X2)
| element(esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))),powerset(the_carrier(X1)))
| element(esk4_1(esk14_2(X1,X2)),powerset(the_carrier(esk1_0)))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(spm,[status(thm)],[c_0_236,c_0_178]) ).
cnf(c_0_245,negated_conjecture,
( esk4_1(esk14_2(X1,X2)) = esk3_1(esk14_2(X1,X2))
| esk9_2(X1,X2) = esk10_2(X1,X2)
| element(esk16_3(X1,X2,esk3_1(esk14_2(X1,X2))),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(spm,[status(thm)],[c_0_236,c_0_183]) ).
cnf(c_0_246,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| subset(esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_237,c_0_183]) ).
cnf(c_0_247,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_248,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_249,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk14_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_192]),c_0_243]),c_0_186])]) ).
cnf(c_0_250,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| element(esk4_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_251,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_229,c_0_201]) ).
cnf(c_0_252,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_186]),c_0_179]),c_0_180])]) ).
cnf(c_0_253,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| ~ element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_246]),c_0_247]),c_0_183]),c_0_248]) ).
cnf(c_0_254,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk16_3(esk1_0,esk2_0,X1),esk1_0)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[c_0_228,c_0_243]) ).
cnf(c_0_255,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_249]) ).
cnf(c_0_256,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| esk16_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[c_0_229,c_0_243]) ).
cnf(c_0_257,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(esk4_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_258,negated_conjecture,
( esk4_1(esk14_2(esk1_0,esk2_0)) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_239]),c_0_253]) ).
cnf(c_0_259,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| subset(esk2_0,X1)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[c_0_237,c_0_243]) ).
cnf(c_0_260,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),esk1_0) ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_261,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_256,c_0_255]) ).
cnf(c_0_262,negated_conjecture,
( esk9_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_263,plain,
( in(X1,esk14_2(X2,X3))
| X1 != X4
| X5 != X1
| esk11_2(X2,X3) != esk10_2(X2,X3)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ closed_subset(X4,X2)
| ~ subset(X3,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X4,powerset(the_carrier(X2)))
| ~ in(X5,powerset(the_carrier(X2))) ),
i_0_69 ).
cnf(c_0_264,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| subset(esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_259,c_0_255]) ).
cnf(c_0_265,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_266,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(rw,[status(thm)],[c_0_248,c_0_243]) ).
cnf(c_0_267,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0)
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(rw,[status(thm)],[c_0_262,c_0_243]) ).
cnf(c_0_268,plain,
( in(X1,esk14_2(X2,X3))
| esk10_2(X2,X3) != esk11_2(X2,X3)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ subset(X3,X1)
| ~ in(X1,powerset(the_carrier(X2)))
| ~ closed_subset(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_263])]) ).
cnf(c_0_269,negated_conjecture,
esk10_2(esk1_0,esk2_0) = esk11_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_264]),c_0_265]),c_0_255]),c_0_266]),c_0_267]) ).
cnf(c_0_270,plain,
( in(X1,esk14_2(esk1_0,esk2_0))
| ~ element(X1,powerset(the_carrier(esk1_0)))
| ~ subset(esk2_0,X1)
| ~ in(X1,powerset(the_carrier(esk1_0)))
| ~ closed_subset(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_179]),c_0_180]),c_0_186])]) ).
cnf(c_0_271,negated_conjecture,
( in(esk3_1(X1),X1)
| closed_subset(esk3_1(X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_181,c_0_183]) ).
cnf(c_0_272,plain,
( element(esk16_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_73 ).
cnf(c_0_273,plain,
( esk16_3(X1,X2,X3) = X3
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_72 ).
cnf(c_0_274,plain,
( in(esk15_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_75 ).
cnf(c_0_275,plain,
( esk15_3(X1,X2,X3) = X3
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_74 ).
cnf(c_0_276,plain,
( subset(X1,X2)
| esk11_2(X3,X1) != esk10_2(X3,X1)
| ~ topological_space(X3)
| ~ top_str(X3)
| ~ in(X2,esk14_2(X3,X1))
| ~ element(X1,powerset(the_carrier(X3))) ),
i_0_70 ).
cnf(c_0_277,negated_conjecture,
( in(esk3_1(X1),esk14_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_192]),c_0_271]),c_0_184]),c_0_201]) ).
cnf(c_0_278,plain,
( element(esk16_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_269]),c_0_179]),c_0_180]),c_0_186])]) ).
cnf(c_0_279,plain,
( esk16_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_269]),c_0_179]),c_0_180]),c_0_186])]) ).
cnf(c_0_280,plain,
( in(esk15_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_269]),c_0_179]),c_0_180]),c_0_186])]) ).
cnf(c_0_281,plain,
( esk15_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_269]),c_0_179]),c_0_180]),c_0_186])]) ).
cnf(c_0_282,plain,
( closed_subset(esk16_3(X1,X2,X3),X1)
| esk11_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ in(X3,esk14_2(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_71 ).
cnf(c_0_283,plain,
( subset(esk2_0,X1)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_269]),c_0_179]),c_0_180]),c_0_186])]) ).
cnf(c_0_284,negated_conjecture,
in(esk3_1(esk14_2(esk1_0,esk2_0)),esk14_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_277]) ).
cnf(c_0_285,negated_conjecture,
( element(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_278,c_0_201]) ).
cnf(c_0_286,negated_conjecture,
( esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_279,c_0_201]) ).
cnf(c_0_287,negated_conjecture,
( in(esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_280,c_0_184]) ).
cnf(c_0_288,negated_conjecture,
( esk15_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0))
| in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_281,c_0_184]) ).
cnf(c_0_289,plain,
( closed_subset(esk16_3(esk1_0,esk2_0,X1),esk1_0)
| ~ in(X1,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_269]),c_0_179]),c_0_180]),c_0_186])]) ).
cnf(c_0_290,plain,
subset(esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_291,negated_conjecture,
element(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_292,negated_conjecture,
in(esk3_1(esk14_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
inference(spm,[status(thm)],[c_0_287,c_0_288]) ).
cnf(c_0_293,plain,
closed_subset(esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))),esk1_0),
inference(spm,[status(thm)],[c_0_289,c_0_284]) ).
cnf(c_0_294,plain,
esk16_3(esk1_0,esk2_0,esk3_1(esk14_2(esk1_0,esk2_0))) = esk3_1(esk14_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_279,c_0_284]) ).
cnf(c_0_295,negated_conjecture,
~ closed_subset(esk3_1(esk14_2(esk1_0,esk2_0)),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_290]),c_0_291]),c_0_292]),c_0_284])]) ).
cnf(c_0_296,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_294]),c_0_295]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU314+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n023.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 : Mon Jun 20 06:25:35 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 9.74/2.65 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.74/2.65 # No SInE strategy applied
% 9.74/2.65 # Trying AutoSched0 for 150 seconds
% 9.74/2.65 # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 9.74/2.65 # and selection function SelectNewComplexAHPNS.
% 9.74/2.65 #
% 9.74/2.65 # Preprocessing time : 0.022 s
% 9.74/2.65
% 9.74/2.65 # Proof found!
% 9.74/2.65 # SZS status Theorem
% 9.74/2.65 # SZS output start CNFRefutation
% See solution above
% 9.74/2.65 # Training examples: 0 positive, 0 negative
% 9.74/2.65
% 9.74/2.65 # -------------------------------------------------
% 9.74/2.65 # User time : 0.129 s
% 9.74/2.65 # System time : 0.007 s
% 9.74/2.65 # Total time : 0.137 s
% 9.74/2.65 # Maximum resident set size: 7124 pages
% 9.74/2.65
%------------------------------------------------------------------------------