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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU323+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 08:40:48 EDT 2022

% Result   : Theorem 23.10s 4.75s
% Output   : CNFRefutation 23.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   22 (   9 unt;   0 nHn;  22 RR)
%            Number of literals    :   55 (   2 equ;  35 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1784,lemma,
    ( open_subset(subset_complement(the_carrier(X1),X2),X1)
    | ~ top_str(X1)
    | ~ closed_subset(X2,X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ol7aw8ao/input.p',i_0_1784) ).

cnf(i_0_201,plain,
    ( subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) = interior(X1,X2)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ol7aw8ao/input.p',i_0_201) ).

cnf(i_0_526,plain,
    ( closed_subset(topstr_closure(X1,X2),X1)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ol7aw8ao/input.p',i_0_526) ).

cnf(i_0_432,plain,
    ( element(subset_complement(X1,X2),powerset(X1))
    | ~ element(X2,powerset(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ol7aw8ao/input.p',i_0_432) ).

cnf(i_0_440,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-ol7aw8ao/input.p',i_0_440) ).

cnf(i_0_1881,negated_conjecture,
    ~ open_subset(interior(esk332_0,esk333_0),esk332_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ol7aw8ao/input.p',i_0_1881) ).

cnf(i_0_1882,negated_conjecture,
    element(esk333_0,powerset(the_carrier(esk332_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ol7aw8ao/input.p',i_0_1882) ).

cnf(i_0_1884,negated_conjecture,
    topological_space(esk332_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ol7aw8ao/input.p',i_0_1884) ).

cnf(i_0_1883,negated_conjecture,
    top_str(esk332_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ol7aw8ao/input.p',i_0_1883) ).

cnf(c_0_1894,lemma,
    ( open_subset(subset_complement(the_carrier(X1),X2),X1)
    | ~ top_str(X1)
    | ~ closed_subset(X2,X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_1784 ).

cnf(c_0_1895,plain,
    ( subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) = interior(X1,X2)
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_201 ).

cnf(c_0_1896,lemma,
    ( open_subset(interior(X1,X2),X1)
    | ~ closed_subset(topstr_closure(X1,subset_complement(the_carrier(X1),X2)),X1)
    | ~ element(topstr_closure(X1,subset_complement(the_carrier(X1),X2)),powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ top_str(X1) ),
    inference(spm,[status(thm)],[c_0_1894,c_0_1895]) ).

cnf(c_0_1897,plain,
    ( closed_subset(topstr_closure(X1,X2),X1)
    | ~ top_str(X1)
    | ~ topological_space(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_526 ).

cnf(c_0_1898,plain,
    ( element(subset_complement(X1,X2),powerset(X1))
    | ~ element(X2,powerset(X1)) ),
    i_0_432 ).

cnf(c_0_1899,plain,
    ( open_subset(interior(X1,X2),X1)
    | ~ element(topstr_closure(X1,subset_complement(the_carrier(X1),X2)),powerset(the_carrier(X1)))
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ topological_space(X1)
    | ~ top_str(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1896,c_0_1897]),c_0_1898]) ).

cnf(c_0_1900,plain,
    ( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
    | ~ top_str(X1)
    | ~ element(X2,powerset(the_carrier(X1))) ),
    i_0_440 ).

cnf(c_0_1901,negated_conjecture,
    ~ open_subset(interior(esk332_0,esk333_0),esk332_0),
    i_0_1881 ).

cnf(c_0_1902,plain,
    ( open_subset(interior(X1,X2),X1)
    | ~ element(X2,powerset(the_carrier(X1)))
    | ~ topological_space(X1)
    | ~ top_str(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1899,c_0_1900]),c_0_1898]) ).

cnf(c_0_1903,negated_conjecture,
    element(esk333_0,powerset(the_carrier(esk332_0))),
    i_0_1882 ).

cnf(c_0_1904,negated_conjecture,
    topological_space(esk332_0),
    i_0_1884 ).

cnf(c_0_1905,negated_conjecture,
    top_str(esk332_0),
    i_0_1883 ).

cnf(c_0_1906,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1901,c_0_1902]),c_0_1903]),c_0_1904]),c_0_1905])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU323+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n009.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 01:02:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.19/0.49  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 23.10/4.75  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 23.10/4.75  # 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: 41; version: 991; iters: 150)
% 23.10/4.75  # Preprocessing time       : 1.691 s
% 23.10/4.75  
% 23.10/4.75  # Proof found!
% 23.10/4.75  # SZS status Theorem
% 23.10/4.75  # SZS output start CNFRefutation
% See solution above
% 23.10/4.75  # Training examples: 0 positive, 0 negative
% 23.10/4.75  
% 23.10/4.75  # -------------------------------------------------
% 23.10/4.75  # User time                : 1.573 s
% 23.10/4.75  # System time              : 0.134 s
% 23.10/4.75  # Total time               : 1.707 s
% 23.10/4.75  # ...preprocessing         : 1.691 s
% 23.10/4.75  # ...main loop             : 0.016 s
% 23.10/4.75  # Maximum resident set size: 180384 pages
% 23.10/4.75  
%------------------------------------------------------------------------------