TSTP Solution File: SEU318+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU318+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 08:40:45 EDT 2022
% Result : Theorem 17.32s 3.59s
% Output : CNFRefutation 17.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of clauses : 58 ( 9 unt; 13 nHn; 53 RR)
% Number of literals : 198 ( 13 equ; 130 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_46,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_46) ).
cnf(i_0_83,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_83) ).
cnf(i_0_50,plain,
( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_50) ).
cnf(i_0_91,plain,
( in(X1,X2)
| ~ top_str(X3)
| ~ subset(X4,X2)
| ~ closed_subset(X2,X3)
| ~ in(X1,the_carrier(X3))
| ~ in(X1,topstr_closure(X3,X4))
| ~ element(X2,powerset(the_carrier(X3)))
| ~ element(X4,powerset(the_carrier(X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_91) ).
cnf(i_0_45,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_45) ).
cnf(i_0_85,plain,
( in(esk9_2(X1,X2),X2)
| closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_85) ).
cnf(i_0_96,plain,
( element(esk11_2(X1,X2),powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_96) ).
cnf(i_0_98,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_98) ).
cnf(i_0_41,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_41) ).
cnf(i_0_97,plain,
( subset(X1,topstr_closure(X2,X1))
| ~ top_str(X2)
| ~ element(X1,powerset(the_carrier(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_97) ).
cnf(i_0_44,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_44) ).
cnf(i_0_95,plain,
( closed_subset(X1,X2)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X1,esk11_2(X2,X3))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X1,powerset(the_carrier(X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_95) ).
cnf(i_0_84,plain,
( closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ closed_subset(esk9_2(X1,X2),X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_84) ).
cnf(i_0_99,negated_conjecture,
( topstr_closure(esk12_0,esk13_0) != esk13_0
| ~ closed_subset(esk13_0,esk12_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_99) ).
cnf(i_0_105,negated_conjecture,
element(esk13_0,powerset(the_carrier(esk12_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_105) ).
cnf(i_0_106,negated_conjecture,
top_str(esk12_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_106) ).
cnf(i_0_101,negated_conjecture,
( topological_space(esk12_0)
| topstr_closure(esk12_0,esk13_0) != esk13_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_101) ).
cnf(i_0_103,negated_conjecture,
( topstr_closure(esk12_0,esk13_0) = esk13_0
| closed_subset(esk13_0,esk12_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_103) ).
cnf(i_0_92,plain,
( meet_of_subsets(the_carrier(X1),esk11_2(X1,X2)) = topstr_closure(X1,X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ogqa4uyz/input.p',i_0_92) ).
cnf(c_0_126,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_46 ).
cnf(c_0_127,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
i_0_83 ).
cnf(c_0_128,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_129,plain,
( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_50 ).
cnf(c_0_130,plain,
( in(X1,X2)
| ~ top_str(X3)
| ~ subset(X4,X2)
| ~ closed_subset(X2,X3)
| ~ in(X1,the_carrier(X3))
| ~ in(X1,topstr_closure(X3,X4))
| ~ element(X2,powerset(the_carrier(X3)))
| ~ element(X4,powerset(the_carrier(X3))) ),
i_0_91 ).
cnf(c_0_131,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
i_0_45 ).
cnf(c_0_132,plain,
( in(X1,the_carrier(X2))
| ~ in(X1,topstr_closure(X2,X3))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_133,plain,
( in(esk1_2(topstr_closure(X1,X2),X3),X4)
| subset(topstr_closure(X1,X2),X3)
| ~ in(esk1_2(topstr_closure(X1,X2),X3),the_carrier(X1))
| ~ closed_subset(X4,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X4,powerset(the_carrier(X1)))
| ~ subset(X2,X4)
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_134,plain,
( in(esk1_2(topstr_closure(X1,X2),X3),the_carrier(X1))
| subset(topstr_closure(X1,X2),X3)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_131]) ).
cnf(c_0_135,plain,
( in(esk9_2(X1,X2),X2)
| closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_85 ).
cnf(c_0_136,plain,
( element(esk11_2(X1,X2),powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_96 ).
cnf(c_0_137,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_98 ).
cnf(c_0_138,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_41 ).
cnf(c_0_139,plain,
( subset(X1,topstr_closure(X2,X1))
| ~ top_str(X2)
| ~ element(X1,powerset(the_carrier(X2))) ),
i_0_97 ).
cnf(c_0_140,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_44 ).
cnf(c_0_141,plain,
( in(esk1_2(topstr_closure(X1,X2),X3),X4)
| subset(topstr_closure(X1,X2),X3)
| ~ closed_subset(X4,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X4,powerset(the_carrier(X1)))
| ~ subset(X2,X4)
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_142,plain,
( closed_subset(X1,X2)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X1,esk11_2(X2,X3))
| ~ element(X3,powerset(the_carrier(X2)))
| ~ element(X1,powerset(the_carrier(X2))) ),
i_0_95 ).
cnf(c_0_143,plain,
( in(esk9_2(X1,esk11_2(X1,X2)),esk11_2(X1,X2))
| closed_subset(meet_of_subsets(the_carrier(X1),esk11_2(X1,X2)),X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_144,plain,
( element(X1,powerset(the_carrier(X2)))
| ~ in(X1,esk11_2(X2,X3))
| ~ topological_space(X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ top_str(X2) ),
inference(spm,[status(thm)],[c_0_137,c_0_136]) ).
cnf(c_0_145,plain,
( topstr_closure(X1,X2) = X2
| ~ element(X2,powerset(the_carrier(X1)))
| ~ subset(topstr_closure(X1,X2),X2)
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_146,plain,
( subset(topstr_closure(X1,X2),X3)
| ~ closed_subset(X3,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ subset(X2,X3)
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_147,plain,
subset(X1,X1),
inference(spm,[status(thm)],[c_0_140,c_0_131]) ).
cnf(c_0_148,plain,
( closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ closed_subset(esk9_2(X1,X2),X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
i_0_84 ).
cnf(c_0_149,plain,
( closed_subset(meet_of_subsets(the_carrier(X1),esk11_2(X1,X2)),X1)
| closed_subset(esk9_2(X1,esk11_2(X1,X2)),X1)
| ~ topological_space(X1)
| ~ element(esk9_2(X1,esk11_2(X1,X2)),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_150,plain,
( closed_subset(meet_of_subsets(the_carrier(X1),esk11_2(X1,X2)),X1)
| element(esk9_2(X1,esk11_2(X1,X2)),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_143]) ).
cnf(c_0_151,negated_conjecture,
( topstr_closure(esk12_0,esk13_0) != esk13_0
| ~ closed_subset(esk13_0,esk12_0) ),
i_0_99 ).
cnf(c_0_152,plain,
( topstr_closure(X1,X2) = X2
| ~ closed_subset(X2,X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147])]) ).
cnf(c_0_153,negated_conjecture,
element(esk13_0,powerset(the_carrier(esk12_0))),
i_0_105 ).
cnf(c_0_154,negated_conjecture,
top_str(esk12_0),
i_0_106 ).
cnf(c_0_155,negated_conjecture,
( topological_space(esk12_0)
| topstr_closure(esk12_0,esk13_0) != esk13_0 ),
i_0_101 ).
cnf(c_0_156,negated_conjecture,
( topstr_closure(esk12_0,esk13_0) = esk13_0
| closed_subset(esk13_0,esk12_0) ),
i_0_103 ).
cnf(c_0_157,plain,
( closed_subset(meet_of_subsets(the_carrier(X1),esk11_2(X1,X2)),X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]),c_0_136]) ).
cnf(c_0_158,plain,
( meet_of_subsets(the_carrier(X1),esk11_2(X1,X2)) = topstr_closure(X1,X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_92 ).
cnf(c_0_159,negated_conjecture,
~ closed_subset(esk13_0,esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]),c_0_154])]) ).
cnf(c_0_160,negated_conjecture,
( closed_subset(esk13_0,esk12_0)
| topological_space(esk12_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_161,plain,
( closed_subset(topstr_closure(X1,X2),X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_162,negated_conjecture,
topstr_closure(esk12_0,esk13_0) = esk13_0,
inference(sr,[status(thm)],[c_0_156,c_0_159]) ).
cnf(c_0_163,negated_conjecture,
topological_space(esk12_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_152]),c_0_153]),c_0_154])]),c_0_160]) ).
cnf(c_0_164,negated_conjecture,
$false,
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_161,c_0_162]),c_0_163]),c_0_153]),c_0_154])]),c_0_159]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU318+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 20:48:30 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 17.32/3.59 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.32/3.59 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 47; version: 991; iters: 150)
% 17.32/3.59 # Preprocessing time : 1.148 s
% 17.32/3.59
% 17.32/3.59 # Proof found!
% 17.32/3.59 # SZS status Theorem
% 17.32/3.59 # SZS output start CNFRefutation
% See solution above
% 17.32/3.59 # Training examples: 0 positive, 0 negative
% 17.32/3.59
% 17.32/3.59 # -------------------------------------------------
% 17.32/3.59 # User time : 1.128 s
% 17.32/3.59 # System time : 0.137 s
% 17.32/3.59 # Total time : 1.265 s
% 17.32/3.59 # ...preprocessing : 1.148 s
% 17.32/3.59 # ...main loop : 0.118 s
% 17.32/3.59 # Maximum resident set size: 176948 pages
% 17.32/3.59
%------------------------------------------------------------------------------