TSTP Solution File: SEU313+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU313+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 50.07s 7.83s
% Output : CNFRefutation 50.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of clauses : 98 ( 13 unt; 22 nHn; 97 RR)
% Number of literals : 372 ( 46 equ; 267 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 196 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_113,plain,
( subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2)) = X2
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_113) ).
cnf(i_0_111,plain,
( subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2) = subset_complement(the_carrier(X1),X2)
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_111) ).
cnf(i_0_59,plain,
( closed_subset(X1,X2)
| ~ top_str(X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ open_subset(subset_difference(the_carrier(X2),cast_as_carrier_subset(X2),X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_59) ).
cnf(i_0_68,plain,
( one_sorted_str(X1)
| ~ top_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_68) ).
cnf(i_0_64,plain,
( element(subset_complement(X1,X2),powerset(X1))
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_64) ).
cnf(i_0_108,plain,
( subset_difference(X1,X2,X3) = set_difference(X2,X3)
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_108) ).
cnf(i_0_63,plain,
( element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_63) ).
cnf(i_0_52,plain,
( cast_as_carrier_subset(X1) = the_carrier(X1)
| ~ one_sorted_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_52) ).
cnf(i_0_120,negated_conjecture,
( in(esk13_0,X1)
| in(esk13_0,topstr_closure(esk11_0,esk12_0))
| ~ closed_subset(X1,esk11_0)
| ~ subset(esk12_0,X1)
| ~ element(X1,powerset(the_carrier(esk11_0))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_120) ).
cnf(i_0_127,negated_conjecture,
top_str(esk11_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_127) ).
cnf(i_0_119,plain,
( subset(X1,subset_complement(X2,X3))
| ~ disjoint(X1,X3)
| ~ element(X3,powerset(X2))
| ~ element(X1,powerset(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_119) ).
cnf(i_0_126,negated_conjecture,
element(esk12_0,powerset(the_carrier(esk11_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_126) ).
cnf(i_0_49,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-wnqm3wno/input.p',i_0_49) ).
cnf(i_0_57,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_57) ).
cnf(i_0_47,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-wnqm3wno/input.p',i_0_47) ).
cnf(i_0_58,plain,
( in(X1,X2)
| X3 != set_difference(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_58) ).
cnf(i_0_97,plain,
( subset_complement(X1,subset_complement(X1,X2)) = X2
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_97) ).
cnf(i_0_50,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-wnqm3wno/input.p',i_0_50) ).
cnf(i_0_51,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-wnqm3wno/input.p',i_0_51) ).
cnf(i_0_48,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-wnqm3wno/input.p',i_0_48) ).
cnf(i_0_125,negated_conjecture,
in(esk13_0,the_carrier(esk11_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_125) ).
cnf(i_0_66,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-wnqm3wno/input.p',i_0_66) ).
cnf(i_0_60,plain,
( open_subset(subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2),X1)
| ~ top_str(X1)
| ~ closed_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_60) ).
cnf(i_0_118,plain,
( disjoint(X1,X2)
| ~ element(X2,powerset(X3))
| ~ element(X1,powerset(X3))
| ~ subset(X1,subset_complement(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_118) ).
cnf(i_0_123,negated_conjecture,
( closed_subset(esk14_0,esk11_0)
| ~ in(esk13_0,topstr_closure(esk11_0,esk12_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_123) ).
cnf(i_0_124,negated_conjecture,
( element(esk14_0,powerset(the_carrier(esk11_0)))
| ~ in(esk13_0,topstr_closure(esk11_0,esk12_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_124) ).
cnf(i_0_122,negated_conjecture,
( subset(esk12_0,esk14_0)
| ~ in(esk13_0,topstr_closure(esk11_0,esk12_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_122) ).
cnf(i_0_56,plain,
( in(X1,X2)
| in(X1,X3)
| X2 != set_difference(X4,X3)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_56) ).
cnf(i_0_121,negated_conjecture,
( ~ in(esk13_0,esk14_0)
| ~ in(esk13_0,topstr_closure(esk11_0,esk12_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wnqm3wno/input.p',i_0_121) ).
cnf(c_0_157,plain,
( subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2)) = X2
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_113 ).
cnf(c_0_158,plain,
( subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2) = subset_complement(the_carrier(X1),X2)
| ~ one_sorted_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_111 ).
cnf(c_0_159,plain,
( closed_subset(X1,X2)
| ~ top_str(X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ open_subset(subset_difference(the_carrier(X2),cast_as_carrier_subset(X2),X1),X2) ),
i_0_59 ).
cnf(c_0_160,plain,
( subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),subset_complement(the_carrier(X1),X2)) = X2
| ~ element(X2,powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_161,plain,
( one_sorted_str(X1)
| ~ top_str(X1) ),
i_0_68 ).
cnf(c_0_162,plain,
( element(subset_complement(X1,X2),powerset(X1))
| ~ element(X2,powerset(X1)) ),
i_0_64 ).
cnf(c_0_163,plain,
( subset_difference(X1,X2,X3) = set_difference(X2,X3)
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
i_0_108 ).
cnf(c_0_164,plain,
( element(cast_as_carrier_subset(X1),powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
i_0_63 ).
cnf(c_0_165,plain,
( cast_as_carrier_subset(X1) = the_carrier(X1)
| ~ one_sorted_str(X1) ),
i_0_52 ).
cnf(c_0_166,negated_conjecture,
( in(esk13_0,X1)
| in(esk13_0,topstr_closure(esk11_0,esk12_0))
| ~ closed_subset(X1,esk11_0)
| ~ subset(esk12_0,X1)
| ~ element(X1,powerset(the_carrier(esk11_0))) ),
i_0_120 ).
cnf(c_0_167,plain,
( closed_subset(subset_complement(the_carrier(X1),X2),X1)
| ~ open_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),c_0_162]) ).
cnf(c_0_168,negated_conjecture,
top_str(esk11_0),
i_0_127 ).
cnf(c_0_169,plain,
( set_difference(cast_as_carrier_subset(X1),X2) = subset_complement(the_carrier(X1),X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_158]),c_0_164]) ).
cnf(c_0_170,plain,
( cast_as_carrier_subset(X1) = the_carrier(X1)
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_161]) ).
cnf(c_0_171,negated_conjecture,
( in(esk13_0,subset_complement(the_carrier(esk11_0),X1))
| in(esk13_0,topstr_closure(esk11_0,esk12_0))
| ~ open_subset(X1,esk11_0)
| ~ element(X1,powerset(the_carrier(esk11_0)))
| ~ subset(esk12_0,subset_complement(the_carrier(esk11_0),X1)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168])]),c_0_162]) ).
cnf(c_0_172,plain,
( subset_complement(the_carrier(X1),X2) = set_difference(the_carrier(X1),X2)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_161]) ).
cnf(c_0_173,plain,
( subset(X1,subset_complement(X2,X3))
| ~ disjoint(X1,X3)
| ~ element(X3,powerset(X2))
| ~ element(X1,powerset(X2)) ),
i_0_119 ).
cnf(c_0_174,plain,
( in(esk13_0,set_difference(the_carrier(esk11_0),X1))
| in(esk13_0,topstr_closure(esk11_0,esk12_0))
| ~ open_subset(X1,esk11_0)
| ~ element(X1,powerset(the_carrier(esk11_0)))
| ~ subset(esk12_0,set_difference(the_carrier(esk11_0),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_168])]) ).
cnf(c_0_175,plain,
( subset(X1,set_difference(the_carrier(X2),X3))
| ~ disjoint(X1,X3)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(spm,[status(thm)],[c_0_173,c_0_172]) ).
cnf(c_0_176,negated_conjecture,
element(esk12_0,powerset(the_carrier(esk11_0))),
i_0_126 ).
cnf(c_0_177,plain,
( in(esk13_0,set_difference(the_carrier(esk11_0),X1))
| in(esk13_0,topstr_closure(esk11_0,esk12_0))
| ~ open_subset(X1,esk11_0)
| ~ disjoint(esk12_0,X1)
| ~ element(X1,powerset(the_carrier(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]),c_0_168])]) ).
cnf(c_0_178,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_49 ).
cnf(c_0_179,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X1)
| ~ in(X4,X3) ),
i_0_57 ).
cnf(c_0_180,plain,
( in(esk13_0,set_difference(the_carrier(esk11_0),esk1_4(esk11_0,X1,X2,X3)))
| in(esk13_0,topstr_closure(esk11_0,esk12_0))
| in(X3,X2)
| X2 != topstr_closure(esk11_0,X1)
| ~ disjoint(esk12_0,esk1_4(esk11_0,X1,X2,X3))
| ~ element(esk1_4(esk11_0,X1,X2,X3),powerset(the_carrier(esk11_0)))
| ~ element(X1,powerset(the_carrier(esk11_0)))
| ~ element(X2,powerset(the_carrier(esk11_0)))
| ~ in(X3,the_carrier(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_168])]) ).
cnf(c_0_181,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_47 ).
cnf(c_0_182,plain,
( ~ in(X1,set_difference(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_179]) ).
cnf(c_0_183,plain,
( in(esk13_0,set_difference(the_carrier(esk11_0),esk1_4(esk11_0,esk12_0,X1,X2)))
| in(esk13_0,topstr_closure(esk11_0,esk12_0))
| in(X2,X1)
| X1 != topstr_closure(esk11_0,esk12_0)
| ~ element(esk1_4(esk11_0,esk12_0,X1,X2),powerset(the_carrier(esk11_0)))
| ~ element(X1,powerset(the_carrier(esk11_0)))
| ~ in(X2,the_carrier(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_176]),c_0_168])]) ).
cnf(c_0_184,plain,
( in(X1,X2)
| X3 != set_difference(X2,X4)
| ~ in(X1,X3) ),
i_0_58 ).
cnf(c_0_185,plain,
( subset_complement(X1,subset_complement(X1,X2)) = X2
| ~ element(X2,powerset(X1)) ),
i_0_97 ).
cnf(c_0_186,plain,
( in(esk13_0,topstr_closure(esk11_0,esk12_0))
| in(X1,X2)
| X2 != topstr_closure(esk11_0,esk12_0)
| ~ element(esk1_4(esk11_0,esk12_0,X2,X1),powerset(the_carrier(esk11_0)))
| ~ element(X2,powerset(the_carrier(esk11_0)))
| ~ in(esk13_0,esk1_4(esk11_0,esk12_0,X2,X1))
| ~ in(X1,the_carrier(esk11_0)) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_187,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_50 ).
cnf(c_0_188,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_51 ).
cnf(c_0_189,plain,
( in(X1,X2)
| ~ in(X1,set_difference(X2,X3)) ),
inference(er,[status(thm)],[c_0_184]) ).
cnf(c_0_190,plain,
( set_difference(the_carrier(X1),subset_complement(the_carrier(X1),X2)) = X2
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_172]),c_0_162]) ).
cnf(c_0_191,plain,
( in(esk13_0,topstr_closure(esk11_0,esk12_0))
| in(X1,X2)
| X2 != topstr_closure(esk11_0,esk12_0)
| ~ element(X2,powerset(the_carrier(esk11_0)))
| ~ in(esk13_0,esk1_4(esk11_0,esk12_0,X2,X1))
| ~ in(X1,the_carrier(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_176]),c_0_168])]) ).
cnf(c_0_192,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_48 ).
cnf(c_0_193,negated_conjecture,
in(esk13_0,the_carrier(esk11_0)),
i_0_125 ).
cnf(c_0_194,plain,
( subset_complement(the_carrier(X1),X2) != topstr_closure(X1,X3)
| ~ open_subset(X4,X1)
| ~ disjoint(X3,X4)
| ~ element(X4,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X5,subset_complement(the_carrier(X1),X2))
| ~ in(X5,the_carrier(X1))
| ~ in(X5,X4)
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_188,c_0_162]) ).
cnf(c_0_195,plain,
( subset_complement(the_carrier(X1),set_difference(the_carrier(X1),X2)) = X2
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_185,c_0_172]) ).
cnf(c_0_196,plain,
( in(X1,the_carrier(X2))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X1,X3)
| ~ top_str(X2) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_197,plain,
( element(set_difference(the_carrier(X1),X2),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_162,c_0_172]) ).
cnf(c_0_198,plain,
( in(esk13_0,topstr_closure(esk11_0,esk12_0))
| in(esk13_0,X1)
| X1 != topstr_closure(esk11_0,esk12_0)
| ~ element(X1,powerset(the_carrier(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]),c_0_176]),c_0_168])]) ).
cnf(c_0_199,plain,
( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_66 ).
cnf(c_0_200,plain,
( X1 != topstr_closure(X2,X3)
| ~ open_subset(X4,X2)
| ~ disjoint(X3,X4)
| ~ element(X4,powerset(the_carrier(X2)))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ in(X5,X1)
| ~ in(X5,X4)
| ~ top_str(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196]),c_0_197]) ).
cnf(c_0_201,plain,
( in(esk13_0,topstr_closure(esk11_0,esk12_0))
| in(esk13_0,topstr_closure(esk11_0,X1))
| topstr_closure(esk11_0,X1) != topstr_closure(esk11_0,esk12_0)
| ~ element(X1,powerset(the_carrier(esk11_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_168])]) ).
cnf(c_0_202,plain,
( topstr_closure(X1,X2) != topstr_closure(X1,X3)
| ~ open_subset(X4,X1)
| ~ disjoint(X3,X4)
| ~ element(X4,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X5,topstr_closure(X1,X2))
| ~ in(X5,X4)
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_199]) ).
cnf(c_0_203,negated_conjecture,
in(esk13_0,topstr_closure(esk11_0,esk12_0)),
inference(spm,[status(thm)],[c_0_201,c_0_176]) ).
cnf(c_0_204,plain,
( open_subset(subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X2),X1)
| ~ top_str(X1)
| ~ closed_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_60 ).
cnf(c_0_205,plain,
( topstr_closure(esk11_0,esk12_0) != topstr_closure(esk11_0,X1)
| ~ open_subset(X2,esk11_0)
| ~ disjoint(X1,X2)
| ~ element(X2,powerset(the_carrier(esk11_0)))
| ~ element(X1,powerset(the_carrier(esk11_0)))
| ~ in(esk13_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_176]),c_0_168])]) ).
cnf(c_0_206,plain,
( open_subset(subset_complement(the_carrier(X1),X2),X1)
| ~ closed_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_158]),c_0_161]) ).
cnf(c_0_207,plain,
( disjoint(X1,X2)
| ~ element(X2,powerset(X3))
| ~ element(X1,powerset(X3))
| ~ subset(X1,subset_complement(X3,X2)) ),
i_0_118 ).
cnf(c_0_208,plain,
( topstr_closure(esk11_0,esk12_0) != topstr_closure(esk11_0,X1)
| ~ closed_subset(X2,esk11_0)
| ~ disjoint(X1,subset_complement(the_carrier(esk11_0),X2))
| ~ element(X1,powerset(the_carrier(esk11_0)))
| ~ element(X2,powerset(the_carrier(esk11_0)))
| ~ in(esk13_0,subset_complement(the_carrier(esk11_0),X2)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_168])]),c_0_162]) ).
cnf(c_0_209,plain,
( disjoint(X1,subset_complement(X2,X3))
| ~ element(X1,powerset(X2))
| ~ element(X3,powerset(X2))
| ~ subset(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_185]),c_0_162]) ).
cnf(c_0_210,plain,
( topstr_closure(esk11_0,esk12_0) != topstr_closure(esk11_0,X1)
| ~ closed_subset(X2,esk11_0)
| ~ disjoint(X1,set_difference(the_carrier(esk11_0),X2))
| ~ element(X1,powerset(the_carrier(esk11_0)))
| ~ element(X2,powerset(the_carrier(esk11_0)))
| ~ in(esk13_0,set_difference(the_carrier(esk11_0),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_172]),c_0_168])]) ).
cnf(c_0_211,plain,
( disjoint(X1,set_difference(the_carrier(X2),X3))
| ~ element(X1,powerset(the_carrier(X2)))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ subset(X1,X3)
| ~ top_str(X2) ),
inference(spm,[status(thm)],[c_0_209,c_0_172]) ).
cnf(c_0_212,negated_conjecture,
( closed_subset(esk14_0,esk11_0)
| ~ in(esk13_0,topstr_closure(esk11_0,esk12_0)) ),
i_0_123 ).
cnf(c_0_213,negated_conjecture,
( element(esk14_0,powerset(the_carrier(esk11_0)))
| ~ in(esk13_0,topstr_closure(esk11_0,esk12_0)) ),
i_0_124 ).
cnf(c_0_214,plain,
( topstr_closure(esk11_0,esk12_0) != topstr_closure(esk11_0,X1)
| ~ closed_subset(X2,esk11_0)
| ~ element(X1,powerset(the_carrier(esk11_0)))
| ~ element(X2,powerset(the_carrier(esk11_0)))
| ~ in(esk13_0,set_difference(the_carrier(esk11_0),X2))
| ~ subset(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_168])]) ).
cnf(c_0_215,negated_conjecture,
closed_subset(esk14_0,esk11_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_203])]) ).
cnf(c_0_216,negated_conjecture,
element(esk14_0,powerset(the_carrier(esk11_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_203])]) ).
cnf(c_0_217,negated_conjecture,
( subset(esk12_0,esk14_0)
| ~ in(esk13_0,topstr_closure(esk11_0,esk12_0)) ),
i_0_122 ).
cnf(c_0_218,negated_conjecture,
( topstr_closure(esk11_0,esk12_0) != topstr_closure(esk11_0,X1)
| ~ element(X1,powerset(the_carrier(esk11_0)))
| ~ in(esk13_0,set_difference(the_carrier(esk11_0),esk14_0))
| ~ subset(X1,esk14_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216])]) ).
cnf(c_0_219,negated_conjecture,
subset(esk12_0,esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_203])]) ).
cnf(c_0_220,plain,
( in(X1,X2)
| in(X1,X3)
| X2 != set_difference(X4,X3)
| ~ in(X1,X4) ),
i_0_56 ).
cnf(c_0_221,negated_conjecture,
( ~ in(esk13_0,esk14_0)
| ~ in(esk13_0,topstr_closure(esk11_0,esk12_0)) ),
i_0_121 ).
cnf(c_0_222,negated_conjecture,
~ in(esk13_0,set_difference(the_carrier(esk11_0),esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_176])]) ).
cnf(c_0_223,plain,
( in(X1,set_difference(X2,X3))
| in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_220]) ).
cnf(c_0_224,negated_conjecture,
~ in(esk13_0,esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_203])]) ).
cnf(c_0_225,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_193])]),c_0_224]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU313+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 00:20:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 50.07/7.83 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 50.07/7.83 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 59; version: 991; iters: 150)
% 50.07/7.83 # Preprocessing time : 1.110 s
% 50.07/7.83
% 50.07/7.83 # Proof found!
% 50.07/7.83 # SZS status Theorem
% 50.07/7.83 # SZS output start CNFRefutation
% See solution above
% 50.07/7.83 # Training examples: 0 positive, 0 negative
% 50.07/7.83
% 50.07/7.83 # -------------------------------------------------
% 50.07/7.83 # User time : 4.907 s
% 50.07/7.83 # System time : 0.163 s
% 50.07/7.83 # Total time : 5.070 s
% 50.07/7.83 # ...preprocessing : 1.110 s
% 50.07/7.83 # ...main loop : 3.959 s
% 50.07/7.83 # Maximum resident set size: 175516 pages
% 50.07/7.83
%------------------------------------------------------------------------------