TSTP Solution File: SEU341+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU341+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 08:40:59 EDT 2022
% Result : Theorem 16.72s 4.17s
% Output : CNFRefutation 16.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of clauses : 42 ( 26 unt; 4 nHn; 42 RR)
% Number of literals : 83 ( 7 equ; 43 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_242,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_242) ).
cnf(i_0_2377,negated_conjecture,
element(esk412_0,powerset(the_carrier(esk411_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_2377) ).
cnf(i_0_533,plain,
~ empty(powerset(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_533) ).
cnf(i_0_658,lemma,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_658) ).
cnf(i_0_2294,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_2294) ).
cnf(i_0_468,plain,
( element(meet_of_subsets(X1,X2),powerset(X1))
| ~ element(X2,powerset(powerset(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_468) ).
cnf(i_0_792,plain,
( meet_of_subsets(X1,X2) = set_meet(X2)
| ~ element(X2,powerset(powerset(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_792) ).
cnf(i_0_2369,lemma,
( interior(X1,X2) = X2
| ~ top_str(X3)
| ~ top_str(X1)
| ~ topological_space(X3)
| ~ open_subset(X2,X1)
| ~ element(X4,powerset(the_carrier(X3)))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_2369) ).
cnf(i_0_2375,negated_conjecture,
open_subset(esk412_0,esk411_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_2375) ).
cnf(i_0_2378,negated_conjecture,
top_str(esk411_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_2378) ).
cnf(i_0_2379,negated_conjecture,
topological_space(esk411_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_2379) ).
cnf(i_0_141,plain,
( empty_carrier(X1)
| point_neighbourhood(X2,X1,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X3,the_carrier(X1))
| ~ in(X3,interior(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_141) ).
cnf(i_0_2380,negated_conjecture,
~ empty_carrier(esk411_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_2380) ).
cnf(i_0_2374,negated_conjecture,
in(esk413_0,esk412_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_2374) ).
cnf(i_0_2376,negated_conjecture,
element(esk413_0,the_carrier(esk411_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_2376) ).
cnf(i_0_2373,negated_conjecture,
~ point_neighbourhood(esk412_0,esk411_0,esk413_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rndoktv/lgb.p',i_0_2373) ).
cnf(c_0_2397,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_242 ).
cnf(c_0_2398,negated_conjecture,
element(esk412_0,powerset(the_carrier(esk411_0))),
i_0_2377 ).
cnf(c_0_2399,plain,
~ empty(powerset(X1)),
i_0_533 ).
cnf(c_0_2400,lemma,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
i_0_658 ).
cnf(c_0_2401,negated_conjecture,
in(esk412_0,powerset(the_carrier(esk411_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2397,c_0_2398]),c_0_2399]) ).
cnf(c_0_2402,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_2294 ).
cnf(c_0_2403,negated_conjecture,
subset(unordered_pair(esk412_0,esk412_0),powerset(the_carrier(esk411_0))),
inference(spm,[status(thm)],[c_0_2400,c_0_2401]) ).
cnf(c_0_2404,plain,
( element(meet_of_subsets(X1,X2),powerset(X1))
| ~ element(X2,powerset(powerset(X1))) ),
i_0_468 ).
cnf(c_0_2405,plain,
element(unordered_pair(esk412_0,esk412_0),powerset(powerset(the_carrier(esk411_0)))),
inference(spm,[status(thm)],[c_0_2402,c_0_2403]) ).
cnf(c_0_2406,plain,
( meet_of_subsets(X1,X2) = set_meet(X2)
| ~ element(X2,powerset(powerset(X1))) ),
i_0_792 ).
cnf(c_0_2407,lemma,
( interior(X1,X2) = X2
| ~ top_str(X3)
| ~ top_str(X1)
| ~ topological_space(X3)
| ~ open_subset(X2,X1)
| ~ element(X4,powerset(the_carrier(X3)))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_2369 ).
cnf(c_0_2408,negated_conjecture,
open_subset(esk412_0,esk411_0),
i_0_2375 ).
cnf(c_0_2409,negated_conjecture,
top_str(esk411_0),
i_0_2378 ).
cnf(c_0_2410,plain,
element(meet_of_subsets(the_carrier(esk411_0),unordered_pair(esk412_0,esk412_0)),powerset(the_carrier(esk411_0))),
inference(spm,[status(thm)],[c_0_2404,c_0_2405]) ).
cnf(c_0_2411,plain,
meet_of_subsets(the_carrier(esk411_0),unordered_pair(esk412_0,esk412_0)) = set_meet(unordered_pair(esk412_0,esk412_0)),
inference(spm,[status(thm)],[c_0_2406,c_0_2405]) ).
cnf(c_0_2412,negated_conjecture,
( interior(esk411_0,esk412_0) = esk412_0
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2407,c_0_2408]),c_0_2409]),c_0_2398])]) ).
cnf(c_0_2413,plain,
element(set_meet(unordered_pair(esk412_0,esk412_0)),powerset(the_carrier(esk411_0))),
inference(rw,[status(thm)],[c_0_2410,c_0_2411]) ).
cnf(c_0_2414,negated_conjecture,
topological_space(esk411_0),
i_0_2379 ).
cnf(c_0_2415,plain,
( empty_carrier(X1)
| point_neighbourhood(X2,X1,X3)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X3,the_carrier(X1))
| ~ in(X3,interior(X1,X2))
| ~ element(X2,powerset(the_carrier(X1))) ),
i_0_141 ).
cnf(c_0_2416,plain,
interior(esk411_0,esk412_0) = esk412_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2412,c_0_2413]),c_0_2414]),c_0_2409])]) ).
cnf(c_0_2417,negated_conjecture,
~ empty_carrier(esk411_0),
i_0_2380 ).
cnf(c_0_2418,plain,
( point_neighbourhood(esk412_0,esk411_0,X1)
| ~ in(X1,esk412_0)
| ~ element(X1,the_carrier(esk411_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_2415,c_0_2416]),c_0_2414]),c_0_2409]),c_0_2398])]),c_0_2417]) ).
cnf(c_0_2419,negated_conjecture,
in(esk413_0,esk412_0),
i_0_2374 ).
cnf(c_0_2420,negated_conjecture,
element(esk413_0,the_carrier(esk411_0)),
i_0_2376 ).
cnf(c_0_2421,negated_conjecture,
~ point_neighbourhood(esk412_0,esk411_0,esk413_0),
i_0_2373 ).
cnf(c_0_2422,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2418,c_0_2419]),c_0_2420])]),c_0_2421]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU341+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n021.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 : Mon Jun 20 00:08:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected SinE mode:
% 0.20/0.50 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.50 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.50 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 16.72/4.17 # ENIGMATIC: Solved by autoschedule-lgb:
% 16.72/4.17 # No SInE strategy applied
% 16.72/4.17 # Trying AutoSched0 for 150 seconds
% 16.72/4.17 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 16.72/4.17 # and selection function SelectCQIPrecWNTNp.
% 16.72/4.17 #
% 16.72/4.17 # Preprocessing time : 0.018 s
% 16.72/4.17 # Presaturation interreduction done
% 16.72/4.17
% 16.72/4.17 # Proof found!
% 16.72/4.17 # SZS status Theorem
% 16.72/4.17 # SZS output start CNFRefutation
% See solution above
% 16.72/4.17 # Training examples: 0 positive, 0 negative
% 16.72/4.17
% 16.72/4.17 # -------------------------------------------------
% 16.72/4.17 # User time : 0.954 s
% 16.72/4.17 # System time : 0.035 s
% 16.72/4.17 # Total time : 0.989 s
% 16.72/4.17 # Maximum resident set size: 7232 pages
% 16.72/4.17
%------------------------------------------------------------------------------