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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU438+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 08:42:31 EDT 2022

% Result   : Theorem 106.18s 15.98s
% Output   : CNFRefutation 106.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   40 (  14 unt;   0 nHn;  34 RR)
%            Number of literals    :   96 (   2 equ;  69 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-4 aty)
%            Number of variables   :   56 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_606,plain,
    ( m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4yk3dc/input.p',i_0_606) ).

cnf(i_0_1027,plain,
    ( k4_subset_1(X1,X2,X3) = k3_tarski(k2_tarski(X2,X3))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4yk3dc/input.p',i_0_1027) ).

cnf(i_0_2568,negated_conjecture,
    ~ r1_tarski(k4_subset_1(esk402_0,k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k8_relset_2(esk401_0,esk402_0,esk403_0,esk405_0)),k8_relset_2(esk401_0,esk402_0,esk403_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4yk3dc/input.p',i_0_2568) ).

cnf(i_0_2528,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4yk3dc/input.p',i_0_2528) ).

cnf(i_0_2527,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4yk3dc/input.p',i_0_2527) ).

cnf(i_0_2545,plain,
    ( r1_tarski(k8_relset_2(X1,X2,X3,X4),k8_relset_2(X1,X2,X3,X5))
    | ~ r1_tarski(X4,X5)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4yk3dc/input.p',i_0_2545) ).

cnf(i_0_2569,negated_conjecture,
    m1_subset_1(esk405_0,k1_zfmisc_1(k2_zfmisc_1(esk401_0,esk402_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4yk3dc/input.p',i_0_2569) ).

cnf(i_0_2571,negated_conjecture,
    m1_subset_1(esk403_0,k1_zfmisc_1(esk401_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4yk3dc/input.p',i_0_2571) ).

cnf(i_0_2570,negated_conjecture,
    m1_subset_1(esk404_0,k1_zfmisc_1(k2_zfmisc_1(esk401_0,esk402_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4yk3dc/input.p',i_0_2570) ).

cnf(i_0_647,plain,
    ( m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4yk3dc/input.p',i_0_647) ).

cnf(i_0_3476,plain,
    r1_tarski(X1,k3_tarski(k2_tarski(X1,X2))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4yk3dc/input.p',i_0_3476) ).

cnf(i_0_1144,plain,
    ( r1_tarski(X1,k3_tarski(k2_tarski(X2,X3)))
    | ~ r1_tarski(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4yk3dc/input.p',i_0_1144) ).

cnf(i_0_1051,plain,
    r1_tarski(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-si4yk3dc/input.p',i_0_1051) ).

cnf(c_0_3490,plain,
    ( m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    i_0_606 ).

cnf(c_0_3491,plain,
    ( k4_subset_1(X1,X2,X3) = k3_tarski(k2_tarski(X2,X3))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    i_0_1027 ).

cnf(c_0_3492,negated_conjecture,
    ~ r1_tarski(k4_subset_1(esk402_0,k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k8_relset_2(esk401_0,esk402_0,esk403_0,esk405_0)),k8_relset_2(esk401_0,esk402_0,esk403_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0))),
    i_0_2568 ).

cnf(c_0_3493,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    i_0_2528 ).

cnf(c_0_3494,plain,
    ( m1_subset_1(k3_tarski(k2_tarski(X1,X2)),k1_zfmisc_1(X3))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X3))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
    inference(spm,[status(thm)],[c_0_3490,c_0_3491]) ).

cnf(c_0_3495,plain,
    ( ~ r1_tarski(k3_tarski(k2_tarski(k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k8_relset_2(esk401_0,esk402_0,esk403_0,esk405_0))),k8_relset_2(esk401_0,esk402_0,esk403_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0)))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk405_0),k1_zfmisc_1(esk402_0))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k1_zfmisc_1(esk402_0)) ),
    inference(spm,[status(thm)],[c_0_3492,c_0_3491]) ).

cnf(c_0_3496,plain,
    ( r1_tarski(k3_tarski(k2_tarski(X1,X2)),X3)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X3))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
    inference(spm,[status(thm)],[c_0_3493,c_0_3494]) ).

cnf(c_0_3497,plain,
    ( ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk405_0),k1_zfmisc_1(k8_relset_2(esk401_0,esk402_0,esk403_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0))))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k1_zfmisc_1(k8_relset_2(esk401_0,esk402_0,esk403_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0))))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk405_0),k1_zfmisc_1(esk402_0))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k1_zfmisc_1(esk402_0)) ),
    inference(spm,[status(thm)],[c_0_3495,c_0_3496]) ).

cnf(c_0_3498,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    i_0_2527 ).

cnf(c_0_3499,plain,
    ( ~ r1_tarski(k8_relset_2(esk401_0,esk402_0,esk403_0,esk405_0),k8_relset_2(esk401_0,esk402_0,esk403_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0)))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k1_zfmisc_1(k8_relset_2(esk401_0,esk402_0,esk403_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0))))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk405_0),k1_zfmisc_1(esk402_0))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k1_zfmisc_1(esk402_0)) ),
    inference(spm,[status(thm)],[c_0_3497,c_0_3498]) ).

cnf(c_0_3500,plain,
    ( ~ r1_tarski(k8_relset_2(esk401_0,esk402_0,esk403_0,esk405_0),k8_relset_2(esk401_0,esk402_0,esk403_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0)))
    | ~ r1_tarski(k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k8_relset_2(esk401_0,esk402_0,esk403_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0)))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk405_0),k1_zfmisc_1(esk402_0))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k1_zfmisc_1(esk402_0)) ),
    inference(spm,[status(thm)],[c_0_3499,c_0_3498]) ).

cnf(c_0_3501,plain,
    ( r1_tarski(k8_relset_2(X1,X2,X3,X4),k8_relset_2(X1,X2,X3,X5))
    | ~ r1_tarski(X4,X5)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    i_0_2545 ).

cnf(c_0_3502,negated_conjecture,
    m1_subset_1(esk405_0,k1_zfmisc_1(k2_zfmisc_1(esk401_0,esk402_0))),
    i_0_2569 ).

cnf(c_0_3503,negated_conjecture,
    m1_subset_1(esk403_0,k1_zfmisc_1(esk401_0)),
    i_0_2571 ).

cnf(c_0_3504,plain,
    ( ~ r1_tarski(k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k8_relset_2(esk401_0,esk402_0,esk403_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0)))
    | ~ r1_tarski(esk405_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0))
    | ~ m1_subset_1(k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0),k1_zfmisc_1(k2_zfmisc_1(esk401_0,esk402_0)))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk405_0),k1_zfmisc_1(esk402_0))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k1_zfmisc_1(esk402_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3500,c_0_3501]),c_0_3502]),c_0_3503])]) ).

cnf(c_0_3505,negated_conjecture,
    m1_subset_1(esk404_0,k1_zfmisc_1(k2_zfmisc_1(esk401_0,esk402_0))),
    i_0_2570 ).

cnf(c_0_3506,plain,
    ( ~ r1_tarski(esk405_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0))
    | ~ r1_tarski(esk404_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0))
    | ~ m1_subset_1(k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0),k1_zfmisc_1(k2_zfmisc_1(esk401_0,esk402_0)))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk405_0),k1_zfmisc_1(esk402_0))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k1_zfmisc_1(esk402_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3504,c_0_3501]),c_0_3505]),c_0_3503])]) ).

cnf(c_0_3507,plain,
    ( ~ r1_tarski(esk405_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0))
    | ~ r1_tarski(esk404_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk405_0),k1_zfmisc_1(esk402_0))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k1_zfmisc_1(esk402_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3506,c_0_3490]),c_0_3502]),c_0_3505])]) ).

cnf(c_0_3508,plain,
    ( m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    i_0_647 ).

cnf(c_0_3509,plain,
    ( ~ r1_tarski(esk405_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0))
    | ~ r1_tarski(esk404_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0))
    | ~ m1_subset_1(k8_relset_2(esk401_0,esk402_0,esk403_0,esk404_0),k1_zfmisc_1(esk402_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3507,c_0_3508]),c_0_3502]),c_0_3503])]) ).

cnf(c_0_3510,plain,
    ( ~ r1_tarski(esk405_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0))
    | ~ r1_tarski(esk404_0,k4_subset_1(k2_zfmisc_1(esk401_0,esk402_0),esk404_0,esk405_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3509,c_0_3508]),c_0_3505]),c_0_3503])]) ).

cnf(c_0_3511,plain,
    ( ~ r1_tarski(esk405_0,k3_tarski(k2_tarski(esk404_0,esk405_0)))
    | ~ r1_tarski(esk404_0,k3_tarski(k2_tarski(esk404_0,esk405_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3510,c_0_3491]),c_0_3502]),c_0_3505])]) ).

cnf(c_0_3512,plain,
    r1_tarski(X1,k3_tarski(k2_tarski(X1,X2))),
    i_0_3476 ).

cnf(c_0_3513,plain,
    ~ r1_tarski(esk405_0,k3_tarski(k2_tarski(esk404_0,esk405_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3511,c_0_3512])]) ).

cnf(c_0_3514,plain,
    ( r1_tarski(X1,k3_tarski(k2_tarski(X2,X3)))
    | ~ r1_tarski(X1,X3) ),
    i_0_1144 ).

cnf(c_0_3515,plain,
    r1_tarski(X1,X1),
    i_0_1051 ).

cnf(c_0_3516,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3513,c_0_3514]),c_0_3515])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SEU438+2 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n028.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 20:36:18 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.63  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.63  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.63  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.63  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 106.18/15.98  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 106.18/15.98  # 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: 55; version: 991; iters: 150)
% 106.18/15.98  # Preprocessing time       : 2.451 s
% 106.18/15.98  
% 106.18/15.98  # Proof found!
% 106.18/15.98  # SZS status Theorem
% 106.18/15.98  # SZS output start CNFRefutation
% See solution above
% 106.18/15.98  # Training examples: 0 positive, 0 negative
% 106.18/15.98  
% 106.18/15.98  # -------------------------------------------------
% 106.18/15.98  # User time                : 11.987 s
% 106.18/15.98  # System time              : 0.185 s
% 106.18/15.98  # Total time               : 12.172 s
% 106.18/15.98  # ...preprocessing         : 2.451 s
% 106.18/15.98  # ...main loop             : 9.722 s
% 106.18/15.98  # Maximum resident set size: 184624 pages
% 106.18/15.98  
%------------------------------------------------------------------------------