TSTP Solution File: SEU451+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU451+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 08:42:46 EDT 2022

% Result   : Theorem 28.02s 5.96s
% Output   : CNFRefutation 28.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   21 (  10 unt;   0 nHn;  19 RR)
%            Number of literals    :   36 (  11 equ;  21 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-5 aty)
%            Number of variables   :   30 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2432,plain,
    ( k5_relat_1(X1,k6_relat_1(X2)) = X1
    | ~ m2_relset_1(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w5h3mwjv/input.p',i_0_2432) ).

cnf(i_0_3243,negated_conjecture,
    m2_relset_1(esk415_0,esk413_0,esk414_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w5h3mwjv/input.p',i_0_3243) ).

cnf(i_0_3242,negated_conjecture,
    k9_relset_2(esk413_0,esk414_0,esk414_0,esk415_0,k6_relat_1(esk414_0)) != k9_relset_2(esk413_0,esk413_0,esk414_0,k6_relat_1(esk413_0),esk415_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w5h3mwjv/input.p',i_0_3242) ).

cnf(i_0_1078,plain,
    ( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w5h3mwjv/input.p',i_0_1078) ).

cnf(i_0_2410,plain,
    ( k5_relat_1(k6_relat_1(X1),X2) = X2
    | ~ m2_relset_1(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w5h3mwjv/input.p',i_0_2410) ).

cnf(i_0_625,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w5h3mwjv/input.p',i_0_625) ).

cnf(i_0_593,plain,
    m2_relset_1(k6_relat_1(X1),X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w5h3mwjv/input.p',i_0_593) ).

cnf(c_0_3251,plain,
    ( k5_relat_1(X1,k6_relat_1(X2)) = X1
    | ~ m2_relset_1(X1,X3,X2) ),
    i_0_2432 ).

cnf(c_0_3252,negated_conjecture,
    m2_relset_1(esk415_0,esk413_0,esk414_0),
    i_0_3243 ).

cnf(c_0_3253,negated_conjecture,
    k9_relset_2(esk413_0,esk414_0,esk414_0,esk415_0,k6_relat_1(esk414_0)) != k9_relset_2(esk413_0,esk413_0,esk414_0,k6_relat_1(esk413_0),esk415_0),
    i_0_3242 ).

cnf(c_0_3254,plain,
    ( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    i_0_1078 ).

cnf(c_0_3255,negated_conjecture,
    k5_relat_1(esk415_0,k6_relat_1(esk414_0)) = esk415_0,
    inference(spm,[status(thm)],[c_0_3251,c_0_3252]) ).

cnf(c_0_3256,plain,
    ( k5_relat_1(k6_relat_1(X1),X2) = X2
    | ~ m2_relset_1(X2,X1,X3) ),
    i_0_2410 ).

cnf(c_0_3257,negated_conjecture,
    ( k9_relset_2(esk413_0,esk413_0,esk414_0,k6_relat_1(esk413_0),esk415_0) != esk415_0
    | ~ m1_subset_1(k6_relat_1(esk414_0),k1_zfmisc_1(k2_zfmisc_1(esk414_0,esk414_0)))
    | ~ m1_subset_1(esk415_0,k1_zfmisc_1(k2_zfmisc_1(esk413_0,esk414_0))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3253,c_0_3254]),c_0_3255]) ).

cnf(c_0_3258,negated_conjecture,
    k5_relat_1(k6_relat_1(esk413_0),esk415_0) = esk415_0,
    inference(spm,[status(thm)],[c_0_3256,c_0_3252]) ).

cnf(c_0_3259,plain,
    ( ~ m1_subset_1(k6_relat_1(esk414_0),k1_zfmisc_1(k2_zfmisc_1(esk414_0,esk414_0)))
    | ~ m1_subset_1(k6_relat_1(esk413_0),k1_zfmisc_1(k2_zfmisc_1(esk413_0,esk413_0)))
    | ~ m1_subset_1(esk415_0,k1_zfmisc_1(k2_zfmisc_1(esk413_0,esk414_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3257,c_0_3254]),c_0_3258])]) ).

cnf(c_0_3260,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_625 ).

cnf(c_0_3261,plain,
    m2_relset_1(k6_relat_1(X1),X1,X1),
    i_0_593 ).

cnf(c_0_3262,plain,
    ( ~ m1_subset_1(k6_relat_1(esk413_0),k1_zfmisc_1(k2_zfmisc_1(esk413_0,esk413_0)))
    | ~ m1_subset_1(esk415_0,k1_zfmisc_1(k2_zfmisc_1(esk413_0,esk414_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3259,c_0_3260]),c_0_3261])]) ).

cnf(c_0_3263,plain,
    ~ m1_subset_1(esk415_0,k1_zfmisc_1(k2_zfmisc_1(esk413_0,esk414_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3262,c_0_3260]),c_0_3261])]) ).

cnf(c_0_3264,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3263,c_0_3260]),c_0_3252])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU451+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.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 : Mon Jun 20 05:18:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.41/0.62  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.62  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.41/0.62  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.41/0.62  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 28.02/5.96  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 28.02/5.96  # 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: 33; version: 991; iters: 150)
% 28.02/5.96  # Preprocessing time       : 2.349 s
% 28.02/5.96  
% 28.02/5.96  # Proof found!
% 28.02/5.96  # SZS status Theorem
% 28.02/5.96  # SZS output start CNFRefutation
% See solution above
% 28.02/5.96  # Training examples: 0 positive, 0 negative
% 28.02/5.96  
% 28.02/5.96  # -------------------------------------------------
% 28.02/5.96  # User time                : 2.222 s
% 28.02/5.96  # System time              : 0.137 s
% 28.02/5.96  # Total time               : 2.359 s
% 28.02/5.96  # ...preprocessing         : 2.349 s
% 28.02/5.96  # ...main loop             : 0.009 s
% 28.02/5.96  # Maximum resident set size: 187288 pages
% 28.02/5.96  
%------------------------------------------------------------------------------