TSTP Solution File: SEU372+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU372+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 08:41:37 EDT 2022
% Result : Theorem 14.52s 3.27s
% Output : CNFRefutation 14.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 25
% Syntax : Number of clauses : 77 ( 17 unt; 26 nHn; 77 RR)
% Number of literals : 316 ( 25 equ; 224 neg)
% Maximal clause size : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 140 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_77,plain,
( empty_carrier(X1)
| point_neighbourhood(X2,X1,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X3,X2)
| ~ open_subset(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_77) ).
cnf(i_0_15,plain,
( in(X1,X2)
| open_subset(esk1_4(X3,X4,X2,X1),X3)
| X2 != topstr_closure(X3,X4)
| ~ top_str(X3)
| ~ in(X1,the_carrier(X3))
| ~ element(X2,powerset(the_carrier(X3)))
| ~ element(X4,powerset(the_carrier(X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_15) ).
cnf(i_0_16,plain,
( in(X1,X2)
| element(esk1_4(X3,X4,X2,X1),powerset(the_carrier(X3)))
| X2 != topstr_closure(X3,X4)
| ~ top_str(X3)
| ~ in(X1,the_carrier(X3))
| ~ element(X2,powerset(the_carrier(X3)))
| ~ element(X4,powerset(the_carrier(X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_16) ).
cnf(i_0_81,negated_conjecture,
( in(esk22_0,topstr_closure(esk20_0,esk21_0))
| ~ disjoint(X1,esk21_0)
| ~ point_neighbourhood(X1,esk20_0,esk22_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_81) ).
cnf(i_0_84,negated_conjecture,
element(esk22_0,the_carrier(esk20_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_84) ).
cnf(i_0_86,negated_conjecture,
top_str(esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_86) ).
cnf(i_0_88,negated_conjecture,
~ empty_carrier(esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_88) ).
cnf(i_0_69,plain,
( disjoint(X1,X2)
| ~ disjoint(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_69) ).
cnf(i_0_13,plain,
( in(X1,X2)
| disjoint(X3,esk1_4(X4,X3,X2,X1))
| X2 != topstr_closure(X4,X3)
| ~ top_str(X4)
| ~ in(X1,the_carrier(X4))
| ~ element(X2,powerset(the_carrier(X4)))
| ~ element(X3,powerset(the_carrier(X4))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_13) ).
cnf(i_0_85,negated_conjecture,
element(esk21_0,powerset(the_carrier(esk20_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_85) ).
cnf(i_0_14,plain,
( in(X1,X2)
| in(X1,esk1_4(X3,X4,X2,X1))
| X2 != topstr_closure(X3,X4)
| ~ top_str(X3)
| ~ in(X1,the_carrier(X3))
| ~ element(X2,powerset(the_carrier(X3)))
| ~ element(X4,powerset(the_carrier(X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_14) ).
cnf(i_0_36,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_36) ).
cnf(i_0_24,plain,
( one_sorted_str(X1)
| ~ top_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_24) ).
cnf(i_0_23,plain,
( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_23) ).
cnf(i_0_71,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_71) ).
cnf(i_0_87,negated_conjecture,
topological_space(esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_87) ).
cnf(i_0_17,plain,
( X1 != topstr_closure(X2,X3)
| ~ top_str(X2)
| ~ in(X4,X5)
| ~ in(X4,X1)
| ~ open_subset(X5,X2)
| ~ disjoint(X3,X5)
| ~ in(X4,the_carrier(X2))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X5,powerset(the_carrier(X2)))
| ~ element(X1,powerset(the_carrier(X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_17) ).
cnf(i_0_79,plain,
( disjoint(X1,X2)
| ~ disjoint(X3,X2)
| ~ subset(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_79) ).
cnf(i_0_74,plain,
( subset(interior(X1,X2),X2)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_74) ).
cnf(i_0_76,plain,
( open_subset(interior(X1,X2),X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_76) ).
cnf(i_0_20,plain,
( element(interior(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_20) ).
cnf(i_0_19,plain,
( empty_carrier(X1)
| in(X2,interior(X1,X3))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ point_neighbourhood(X3,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_19) ).
cnf(i_0_26,plain,
( empty_carrier(X1)
| element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ point_neighbourhood(X2,X1,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_26) ).
cnf(i_0_83,negated_conjecture,
( point_neighbourhood(esk23_0,esk20_0,esk22_0)
| ~ in(esk22_0,topstr_closure(esk20_0,esk21_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_83) ).
cnf(i_0_82,negated_conjecture,
( disjoint(esk23_0,esk21_0)
| ~ in(esk22_0,topstr_closure(esk20_0,esk21_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-diytl1q8/input.p',i_0_82) ).
cnf(c_0_114,plain,
( empty_carrier(X1)
| point_neighbourhood(X2,X1,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ in(X3,X2)
| ~ open_subset(X2,X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_77 ).
cnf(c_0_115,plain,
( in(X1,X2)
| open_subset(esk1_4(X3,X4,X2,X1),X3)
| X2 != topstr_closure(X3,X4)
| ~ top_str(X3)
| ~ in(X1,the_carrier(X3))
| ~ element(X2,powerset(the_carrier(X3)))
| ~ element(X4,powerset(the_carrier(X3))) ),
i_0_15 ).
cnf(c_0_116,plain,
( in(X1,X2)
| element(esk1_4(X3,X4,X2,X1),powerset(the_carrier(X3)))
| X2 != topstr_closure(X3,X4)
| ~ top_str(X3)
| ~ in(X1,the_carrier(X3))
| ~ element(X2,powerset(the_carrier(X3)))
| ~ element(X4,powerset(the_carrier(X3))) ),
i_0_16 ).
cnf(c_0_117,negated_conjecture,
( in(esk22_0,topstr_closure(esk20_0,esk21_0))
| ~ disjoint(X1,esk21_0)
| ~ point_neighbourhood(X1,esk20_0,esk22_0) ),
i_0_81 ).
cnf(c_0_118,plain,
( point_neighbourhood(esk1_4(X1,X2,X3,X4),X1,X5)
| in(X4,X3)
| empty_carrier(X1)
| X3 != topstr_closure(X1,X2)
| ~ in(X5,esk1_4(X1,X2,X3,X4))
| ~ in(X4,the_carrier(X1))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X5,the_carrier(X1))
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_119,negated_conjecture,
element(esk22_0,the_carrier(esk20_0)),
i_0_84 ).
cnf(c_0_120,negated_conjecture,
top_str(esk20_0),
i_0_86 ).
cnf(c_0_121,negated_conjecture,
~ empty_carrier(esk20_0),
i_0_88 ).
cnf(c_0_122,plain,
( disjoint(X1,X2)
| ~ disjoint(X2,X1) ),
i_0_69 ).
cnf(c_0_123,plain,
( in(X1,X2)
| disjoint(X3,esk1_4(X4,X3,X2,X1))
| X2 != topstr_closure(X4,X3)
| ~ top_str(X4)
| ~ in(X1,the_carrier(X4))
| ~ element(X2,powerset(the_carrier(X4)))
| ~ element(X3,powerset(the_carrier(X4))) ),
i_0_13 ).
cnf(c_0_124,negated_conjecture,
( in(esk22_0,topstr_closure(esk20_0,esk21_0))
| in(X1,X2)
| X2 != topstr_closure(esk20_0,X3)
| ~ disjoint(esk1_4(esk20_0,X3,X2,X1),esk21_0)
| ~ in(esk22_0,esk1_4(esk20_0,X3,X2,X1))
| ~ in(X1,the_carrier(esk20_0))
| ~ element(X3,powerset(the_carrier(esk20_0)))
| ~ element(X2,powerset(the_carrier(esk20_0)))
| ~ topological_space(esk20_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_120])]),c_0_121]) ).
cnf(c_0_125,plain,
( disjoint(esk1_4(X1,X2,X3,X4),X2)
| in(X4,X3)
| X3 != topstr_closure(X1,X2)
| ~ in(X4,the_carrier(X1))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_126,negated_conjecture,
element(esk21_0,powerset(the_carrier(esk20_0))),
i_0_85 ).
cnf(c_0_127,plain,
( in(esk22_0,topstr_closure(esk20_0,esk21_0))
| in(X1,X2)
| X2 != topstr_closure(esk20_0,esk21_0)
| ~ in(esk22_0,esk1_4(esk20_0,esk21_0,X2,X1))
| ~ in(X1,the_carrier(esk20_0))
| ~ element(X2,powerset(the_carrier(esk20_0)))
| ~ topological_space(esk20_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_120])]) ).
cnf(c_0_128,plain,
( in(X1,X2)
| in(X1,esk1_4(X3,X4,X2,X1))
| X2 != topstr_closure(X3,X4)
| ~ top_str(X3)
| ~ in(X1,the_carrier(X3))
| ~ element(X2,powerset(the_carrier(X3)))
| ~ element(X4,powerset(the_carrier(X3))) ),
i_0_14 ).
cnf(c_0_129,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
i_0_36 ).
cnf(c_0_130,plain,
( one_sorted_str(X1)
| ~ top_str(X1) ),
i_0_24 ).
cnf(c_0_131,plain,
( in(esk22_0,topstr_closure(esk20_0,esk21_0))
| in(esk22_0,X1)
| X1 != topstr_closure(esk20_0,esk21_0)
| ~ in(esk22_0,the_carrier(esk20_0))
| ~ element(X1,powerset(the_carrier(esk20_0)))
| ~ topological_space(esk20_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_126]),c_0_120])]) ).
cnf(c_0_132,plain,
( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_23 ).
cnf(c_0_133,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_71 ).
cnf(c_0_134,plain,
( empty_carrier(X1)
| ~ top_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,plain,
( in(esk22_0,topstr_closure(esk20_0,esk21_0))
| in(esk22_0,topstr_closure(esk20_0,X1))
| topstr_closure(esk20_0,X1) != topstr_closure(esk20_0,esk21_0)
| ~ in(esk22_0,the_carrier(esk20_0))
| ~ element(X1,powerset(the_carrier(esk20_0)))
| ~ topological_space(esk20_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_120])]) ).
cnf(c_0_136,negated_conjecture,
topological_space(esk20_0),
i_0_87 ).
cnf(c_0_137,negated_conjecture,
( in(esk22_0,the_carrier(esk20_0))
| empty(the_carrier(esk20_0)) ),
inference(spm,[status(thm)],[c_0_133,c_0_119]) ).
cnf(c_0_138,negated_conjecture,
~ empty(the_carrier(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_134]),c_0_120])]) ).
cnf(c_0_139,plain,
( in(esk22_0,topstr_closure(esk20_0,esk21_0))
| in(esk22_0,topstr_closure(esk20_0,X1))
| topstr_closure(esk20_0,X1) != topstr_closure(esk20_0,esk21_0)
| ~ in(esk22_0,the_carrier(esk20_0))
| ~ element(X1,powerset(the_carrier(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136])]) ).
cnf(c_0_140,negated_conjecture,
in(esk22_0,the_carrier(esk20_0)),
inference(sr,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_141,plain,
( X1 != topstr_closure(X2,X3)
| ~ top_str(X2)
| ~ in(X4,X5)
| ~ in(X4,X1)
| ~ open_subset(X5,X2)
| ~ disjoint(X3,X5)
| ~ in(X4,the_carrier(X2))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X5,powerset(the_carrier(X2)))
| ~ element(X1,powerset(the_carrier(X2))) ),
i_0_17 ).
cnf(c_0_142,plain,
( in(esk22_0,topstr_closure(esk20_0,esk21_0))
| in(esk22_0,topstr_closure(esk20_0,X1))
| topstr_closure(esk20_0,X1) != topstr_closure(esk20_0,esk21_0)
| ~ element(X1,powerset(the_carrier(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140])]) ).
cnf(c_0_143,plain,
( topstr_closure(X1,X2) != topstr_closure(X1,X3)
| ~ open_subset(X4,X1)
| ~ disjoint(X3,X4)
| ~ in(X5,topstr_closure(X1,X2))
| ~ in(X5,the_carrier(X1))
| ~ in(X5,X4)
| ~ element(X4,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_132]) ).
cnf(c_0_144,negated_conjecture,
in(esk22_0,topstr_closure(esk20_0,esk21_0)),
inference(spm,[status(thm)],[c_0_142,c_0_126]) ).
cnf(c_0_145,plain,
( disjoint(X1,X2)
| ~ disjoint(X3,X2)
| ~ subset(X1,X3) ),
i_0_79 ).
cnf(c_0_146,plain,
( subset(interior(X1,X2),X2)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_74 ).
cnf(c_0_147,plain,
( topstr_closure(esk20_0,esk21_0) != topstr_closure(esk20_0,X1)
| ~ open_subset(X2,esk20_0)
| ~ disjoint(X1,X2)
| ~ in(esk22_0,X2)
| ~ element(X2,powerset(the_carrier(esk20_0)))
| ~ element(X1,powerset(the_carrier(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_140]),c_0_126]),c_0_120])]) ).
cnf(c_0_148,plain,
( open_subset(interior(X1,X2),X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_76 ).
cnf(c_0_149,plain,
( disjoint(interior(X1,X2),X3)
| ~ disjoint(X2,X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_150,plain,
( topstr_closure(esk20_0,esk21_0) != topstr_closure(esk20_0,X1)
| ~ disjoint(X1,interior(esk20_0,X2))
| ~ in(esk22_0,interior(esk20_0,X2))
| ~ element(interior(esk20_0,X2),powerset(the_carrier(esk20_0)))
| ~ element(X1,powerset(the_carrier(esk20_0)))
| ~ element(X2,powerset(the_carrier(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_136]),c_0_120])]) ).
cnf(c_0_151,plain,
( disjoint(X1,interior(X2,X3))
| ~ disjoint(X3,X1)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(spm,[status(thm)],[c_0_122,c_0_149]) ).
cnf(c_0_152,plain,
( topstr_closure(esk20_0,esk21_0) != topstr_closure(esk20_0,X1)
| ~ disjoint(X2,X1)
| ~ in(esk22_0,interior(esk20_0,X2))
| ~ element(interior(esk20_0,X2),powerset(the_carrier(esk20_0)))
| ~ element(X1,powerset(the_carrier(esk20_0)))
| ~ element(X2,powerset(the_carrier(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_120])]) ).
cnf(c_0_153,plain,
( element(interior(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_20 ).
cnf(c_0_154,plain,
( empty_carrier(X1)
| in(X2,interior(X1,X3))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ point_neighbourhood(X3,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,powerset(the_carrier(X1))) ),
i_0_19 ).
cnf(c_0_155,plain,
( empty_carrier(X1)
| element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ point_neighbourhood(X2,X1,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_26 ).
cnf(c_0_156,negated_conjecture,
( point_neighbourhood(esk23_0,esk20_0,esk22_0)
| ~ in(esk22_0,topstr_closure(esk20_0,esk21_0)) ),
i_0_83 ).
cnf(c_0_157,plain,
( topstr_closure(esk20_0,esk21_0) != topstr_closure(esk20_0,X1)
| ~ disjoint(X2,X1)
| ~ in(esk22_0,interior(esk20_0,X2))
| ~ element(X1,powerset(the_carrier(esk20_0)))
| ~ element(X2,powerset(the_carrier(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_120])]) ).
cnf(c_0_158,plain,
( in(X1,interior(X2,X3))
| empty_carrier(X2)
| ~ point_neighbourhood(X3,X2,X1)
| ~ element(X1,the_carrier(X2))
| ~ topological_space(X2)
| ~ top_str(X2) ),
inference(csr,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_159,negated_conjecture,
point_neighbourhood(esk23_0,esk20_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_144])]) ).
cnf(c_0_160,plain,
( topstr_closure(esk20_0,esk21_0) != topstr_closure(esk20_0,X1)
| ~ point_neighbourhood(X2,esk20_0,esk22_0)
| ~ disjoint(X2,X1)
| ~ element(X1,powerset(the_carrier(esk20_0)))
| ~ element(X2,powerset(the_carrier(esk20_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_119]),c_0_136]),c_0_120])]),c_0_121]) ).
cnf(c_0_161,plain,
element(esk23_0,powerset(the_carrier(esk20_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_159]),c_0_119]),c_0_136]),c_0_120])]),c_0_121]) ).
cnf(c_0_162,negated_conjecture,
( disjoint(esk23_0,esk21_0)
| ~ in(esk22_0,topstr_closure(esk20_0,esk21_0)) ),
i_0_82 ).
cnf(c_0_163,negated_conjecture,
( topstr_closure(esk20_0,esk21_0) != topstr_closure(esk20_0,X1)
| ~ disjoint(esk23_0,X1)
| ~ element(X1,powerset(the_carrier(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_159]),c_0_161])]) ).
cnf(c_0_164,negated_conjecture,
disjoint(esk23_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_144])]) ).
cnf(c_0_165,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_126])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU372+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 06:34:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.44 # ENIGMATIC: Selected complete mode:
% 14.52/3.27 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.52/3.27 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 65; version: 991; iters: 150)
% 14.52/3.27 # Preprocessing time : 0.833 s
% 14.52/3.27
% 14.52/3.27 # Proof found!
% 14.52/3.27 # SZS status Theorem
% 14.52/3.27 # SZS output start CNFRefutation
% See solution above
% 14.52/3.27 # Training examples: 0 positive, 0 negative
% 14.52/3.27
% 14.52/3.27 # -------------------------------------------------
% 14.52/3.27 # User time : 0.744 s
% 14.52/3.27 # System time : 0.115 s
% 14.52/3.27 # Total time : 0.859 s
% 14.52/3.27 # ...preprocessing : 0.833 s
% 14.52/3.27 # ...main loop : 0.026 s
% 14.52/3.27 # Maximum resident set size: 167704 pages
% 14.52/3.27
%------------------------------------------------------------------------------