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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG231+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 : Thu Jul 14 15:33:13 EDT 2022

% Result   : Theorem 12.27s 5.85s
% Output   : CNFRefutation 12.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   30 (  16 unt;   0 nHn;  30 RR)
%            Number of literals    :   63 (   6 equ;  35 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-4 aty)
%            Number of variables   :   44 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1617,plain,
    ( k3_closure3(X1,X2,X3,X4) = k3_tarski(k2_tarski(X3,X4))
    | ~ m1_pboole(X2,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zpis7wvv/lgb.p',i_0_1617) ).

cnf(i_0_1903,negated_conjecture,
    m1_subset_1(esk329_0,k1_zfmisc_1(k1_closure2(esk327_0,esk328_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zpis7wvv/lgb.p',i_0_1903) ).

cnf(i_0_1904,negated_conjecture,
    m1_pboole(esk328_0,esk327_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zpis7wvv/lgb.p',i_0_1904) ).

cnf(i_0_1902,negated_conjecture,
    m1_subset_1(esk330_0,k1_zfmisc_1(k1_closure2(esk327_0,esk328_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zpis7wvv/lgb.p',i_0_1902) ).

cnf(i_0_1811,plain,
    ( r6_pboole(X1,k2_closure3(X1,X2,k3_closure3(X1,X2,X3,X4)),k2_pboole(X1,k2_closure3(X1,X2,X3),k2_closure3(X1,X2,X4)))
    | ~ m1_pboole(X2,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zpis7wvv/lgb.p',i_0_1811) ).

cnf(i_0_822,plain,
    ( m1_pboole(X1,X2)
    | ~ m1_pboole(X3,X2)
    | ~ m4_pboole(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zpis7wvv/lgb.p',i_0_822) ).

cnf(i_0_756,plain,
    ( m4_pboole(k2_closure3(X1,X2,X3),X1,X2)
    | ~ m1_pboole(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zpis7wvv/lgb.p',i_0_756) ).

cnf(i_0_1936,plain,
    ( k3_tarski(k2_tarski(X1,X2)) = X2
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zpis7wvv/lgb.p',i_0_1936) ).

cnf(i_0_1901,negated_conjecture,
    r1_tarski(esk329_0,esk330_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zpis7wvv/lgb.p',i_0_1901) ).

cnf(i_0_3168,plain,
    ( r2_pboole(X1,X2,X3)
    | ~ m1_pboole(X4,X1)
    | ~ m1_pboole(X3,X1)
    | ~ m1_pboole(X2,X1)
    | ~ r6_pboole(X1,X3,k2_pboole(X1,X2,X4)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zpis7wvv/lgb.p',i_0_3168) ).

cnf(i_0_1900,negated_conjecture,
    ~ r2_pboole(esk327_0,k2_closure3(esk327_0,esk328_0,esk329_0),k2_closure3(esk327_0,esk328_0,esk330_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zpis7wvv/lgb.p',i_0_1900) ).

cnf(c_0_3180,plain,
    ( k3_closure3(X1,X2,X3,X4) = k3_tarski(k2_tarski(X3,X4))
    | ~ m1_pboole(X2,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
    i_0_1617 ).

cnf(c_0_3181,negated_conjecture,
    m1_subset_1(esk329_0,k1_zfmisc_1(k1_closure2(esk327_0,esk328_0))),
    i_0_1903 ).

cnf(c_0_3182,negated_conjecture,
    m1_pboole(esk328_0,esk327_0),
    i_0_1904 ).

cnf(c_0_3183,negated_conjecture,
    ( k3_closure3(esk327_0,esk328_0,esk329_0,X1) = k3_tarski(k2_tarski(esk329_0,X1))
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk327_0,esk328_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3180,c_0_3181]),c_0_3182])]) ).

cnf(c_0_3184,negated_conjecture,
    m1_subset_1(esk330_0,k1_zfmisc_1(k1_closure2(esk327_0,esk328_0))),
    i_0_1902 ).

cnf(c_0_3185,plain,
    ( r6_pboole(X1,k2_closure3(X1,X2,k3_closure3(X1,X2,X3,X4)),k2_pboole(X1,k2_closure3(X1,X2,X3),k2_closure3(X1,X2,X4)))
    | ~ m1_pboole(X2,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
    i_0_1811 ).

cnf(c_0_3186,negated_conjecture,
    k3_closure3(esk327_0,esk328_0,esk329_0,esk330_0) = k3_tarski(k2_tarski(esk329_0,esk330_0)),
    inference(spm,[status(thm)],[c_0_3183,c_0_3184]) ).

cnf(c_0_3187,plain,
    ( m1_pboole(X1,X2)
    | ~ m1_pboole(X3,X2)
    | ~ m4_pboole(X1,X2,X3) ),
    i_0_822 ).

cnf(c_0_3188,plain,
    ( m4_pboole(k2_closure3(X1,X2,X3),X1,X2)
    | ~ m1_pboole(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
    i_0_756 ).

cnf(c_0_3189,plain,
    r6_pboole(esk327_0,k2_closure3(esk327_0,esk328_0,k3_tarski(k2_tarski(esk329_0,esk330_0))),k2_pboole(esk327_0,k2_closure3(esk327_0,esk328_0,esk329_0),k2_closure3(esk327_0,esk328_0,esk330_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3185,c_0_3186]),c_0_3182]),c_0_3184]),c_0_3181])]) ).

cnf(c_0_3190,plain,
    ( k3_tarski(k2_tarski(X1,X2)) = X2
    | ~ r1_tarski(X1,X2) ),
    i_0_1936 ).

cnf(c_0_3191,negated_conjecture,
    r1_tarski(esk329_0,esk330_0),
    i_0_1901 ).

cnf(c_0_3192,plain,
    ( m1_pboole(k2_closure3(X1,X2,X3),X1)
    | ~ m1_pboole(X2,X1)
    | ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
    inference(spm,[status(thm)],[c_0_3187,c_0_3188]) ).

cnf(c_0_3193,plain,
    ( r2_pboole(X1,X2,X3)
    | ~ m1_pboole(X4,X1)
    | ~ m1_pboole(X3,X1)
    | ~ m1_pboole(X2,X1)
    | ~ r6_pboole(X1,X3,k2_pboole(X1,X2,X4)) ),
    i_0_3168 ).

cnf(c_0_3194,plain,
    r6_pboole(esk327_0,k2_closure3(esk327_0,esk328_0,esk330_0),k2_pboole(esk327_0,k2_closure3(esk327_0,esk328_0,esk329_0),k2_closure3(esk327_0,esk328_0,esk330_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3189,c_0_3190]),c_0_3191])]) ).

cnf(c_0_3195,negated_conjecture,
    m1_pboole(k2_closure3(esk327_0,esk328_0,esk330_0),esk327_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3192,c_0_3184]),c_0_3182])]) ).

cnf(c_0_3196,negated_conjecture,
    m1_pboole(k2_closure3(esk327_0,esk328_0,esk329_0),esk327_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3192,c_0_3181]),c_0_3182])]) ).

cnf(c_0_3197,negated_conjecture,
    ~ r2_pboole(esk327_0,k2_closure3(esk327_0,esk328_0,esk329_0),k2_closure3(esk327_0,esk328_0,esk330_0)),
    i_0_1900 ).

cnf(c_0_3198,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3193,c_0_3194]),c_0_3195]),c_0_3196])]),c_0_3197]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ALG231+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun  8 08:19:18 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected SinE mode:
% 1.76/1.96  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.96  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.76/1.96  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.76/1.96  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 12.27/5.85  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.27/5.85  # No SInE strategy applied
% 12.27/5.85  # Trying AutoSched0 for 149 seconds
% 12.27/5.85  # AutoSched0-Mode selected heuristic H_____011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V
% 12.27/5.85  # and selection function PSelectComplexExceptRRHorn.
% 12.27/5.85  #
% 12.27/5.85  # Preprocessing time       : 0.023 s
% 12.27/5.85  # Presaturation interreduction done
% 12.27/5.85  
% 12.27/5.85  # Proof found!
% 12.27/5.85  # SZS status Theorem
% 12.27/5.85  # SZS output start CNFRefutation
% See solution above
% 12.27/5.85  # Training examples: 0 positive, 0 negative
% 12.27/5.85  
% 12.27/5.85  # -------------------------------------------------
% 12.27/5.85  # User time                : 0.030 s
% 12.27/5.85  # System time              : 0.006 s
% 12.27/5.85  # Total time               : 0.036 s
% 12.27/5.85  # Maximum resident set size: 7128 pages
% 12.27/5.85  
%------------------------------------------------------------------------------