TSTP Solution File: SEU422+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU422+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 08:42:14 EDT 2022

% Result   : Theorem 9.97s 3.51s
% Output   : CNFRefutation 9.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   30 (  16 unt;   2 nHn;  28 RR)
%            Number of literals    :   50 (   5 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   33 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2634,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mqz1iuq/lgb.p',i_0_2634) ).

cnf(i_0_1769,negated_conjecture,
    m1_subset_1(esk310_0,k1_zfmisc_1(esk309_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mqz1iuq/lgb.p',i_0_1769) ).

cnf(i_0_3563,plain,
    ( r1_tarski(k1_zfmisc_1(X1),k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mqz1iuq/lgb.p',i_0_3563) ).

cnf(i_0_1682,plain,
    ( k3_tarski(a_2_0_relset_2(X1,X2)) = X2
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mqz1iuq/lgb.p',i_0_1682) ).

cnf(i_0_1770,negated_conjecture,
    ~ v1_xboole_0(esk309_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mqz1iuq/lgb.p',i_0_1770) ).

cnf(i_0_2633,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mqz1iuq/lgb.p',i_0_2633) ).

cnf(i_0_282,plain,
    ( r2_hidden(X1,X2)
    | X2 != k1_zfmisc_1(X3)
    | ~ r1_tarski(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mqz1iuq/lgb.p',i_0_282) ).

cnf(i_0_1157,plain,
    r1_tarski(X1,k1_zfmisc_1(k3_tarski(X1))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mqz1iuq/lgb.p',i_0_1157) ).

cnf(i_0_2902,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mqz1iuq/lgb.p',i_0_2902) ).

cnf(i_0_1768,negated_conjecture,
    ~ m1_subset_1(a_2_0_relset_2(esk309_0,esk310_0),k1_zfmisc_1(k1_zfmisc_1(esk309_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8mqz1iuq/lgb.p',i_0_1768) ).

cnf(c_0_3574,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    i_0_2634 ).

cnf(c_0_3575,negated_conjecture,
    m1_subset_1(esk310_0,k1_zfmisc_1(esk309_0)),
    i_0_1769 ).

cnf(c_0_3576,plain,
    ( r1_tarski(k1_zfmisc_1(X1),k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    i_0_3563 ).

cnf(c_0_3577,negated_conjecture,
    r1_tarski(esk310_0,esk309_0),
    inference(spm,[status(thm)],[c_0_3574,c_0_3575]) ).

cnf(c_0_3578,negated_conjecture,
    r1_tarski(k1_zfmisc_1(esk310_0),k1_zfmisc_1(esk309_0)),
    inference(spm,[status(thm)],[c_0_3576,c_0_3577]) ).

cnf(c_0_3579,plain,
    ( k3_tarski(a_2_0_relset_2(X1,X2)) = X2
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    i_0_1682 ).

cnf(c_0_3580,negated_conjecture,
    ~ v1_xboole_0(esk309_0),
    i_0_1770 ).

cnf(c_0_3581,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    i_0_2633 ).

cnf(c_0_3582,plain,
    r1_tarski(k1_zfmisc_1(k1_zfmisc_1(esk310_0)),k1_zfmisc_1(k1_zfmisc_1(esk309_0))),
    inference(spm,[status(thm)],[c_0_3576,c_0_3578]) ).

cnf(c_0_3583,plain,
    ( r2_hidden(X1,X2)
    | X2 != k1_zfmisc_1(X3)
    | ~ r1_tarski(X1,X3) ),
    i_0_282 ).

cnf(c_0_3584,plain,
    r1_tarski(X1,k1_zfmisc_1(k3_tarski(X1))),
    i_0_1157 ).

cnf(c_0_3585,negated_conjecture,
    k3_tarski(a_2_0_relset_2(esk309_0,esk310_0)) = esk310_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3579,c_0_3575]),c_0_3580]) ).

cnf(c_0_3586,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    i_0_2902 ).

cnf(c_0_3587,plain,
    m1_subset_1(k1_zfmisc_1(k1_zfmisc_1(esk310_0)),k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(esk309_0)))),
    inference(spm,[status(thm)],[c_0_3581,c_0_3582]) ).

cnf(c_0_3588,plain,
    ( r2_hidden(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    inference(er,[status(thm)],[c_0_3583]) ).

cnf(c_0_3589,plain,
    r1_tarski(a_2_0_relset_2(esk309_0,esk310_0),k1_zfmisc_1(esk310_0)),
    inference(spm,[status(thm)],[c_0_3584,c_0_3585]) ).

cnf(c_0_3590,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(esk309_0)))
    | ~ r2_hidden(X1,k1_zfmisc_1(k1_zfmisc_1(esk310_0))) ),
    inference(spm,[status(thm)],[c_0_3586,c_0_3587]) ).

cnf(c_0_3591,plain,
    r2_hidden(a_2_0_relset_2(esk309_0,esk310_0),k1_zfmisc_1(k1_zfmisc_1(esk310_0))),
    inference(spm,[status(thm)],[c_0_3588,c_0_3589]) ).

cnf(c_0_3592,negated_conjecture,
    ~ m1_subset_1(a_2_0_relset_2(esk309_0,esk310_0),k1_zfmisc_1(k1_zfmisc_1(esk309_0))),
    i_0_1768 ).

cnf(c_0_3593,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3590,c_0_3591]),c_0_3592]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU422+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n029.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 : Sun Jun 19 00:47:32 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.37/0.60  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.60  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.37/0.60  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.37/0.60  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.97/3.51  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.97/3.51  # No SInE strategy applied
% 9.97/3.51  # Trying AutoSched0 for 150 seconds
% 9.97/3.51  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S02CN
% 9.97/3.51  # and selection function SelectAntiRROptimalLit.
% 9.97/3.51  #
% 9.97/3.51  # Preprocessing time       : 0.026 s
% 9.97/3.51  # Presaturation interreduction done
% 9.97/3.51  
% 9.97/3.51  # Proof found!
% 9.97/3.51  # SZS status Theorem
% 9.97/3.51  # SZS output start CNFRefutation
% See solution above
% 9.97/3.51  # Training examples: 0 positive, 0 negative
% 9.97/3.51  
% 9.97/3.51  # -------------------------------------------------
% 9.97/3.51  # User time                : 0.109 s
% 9.97/3.51  # System time              : 0.010 s
% 9.97/3.51  # Total time               : 0.119 s
% 9.97/3.51  # Maximum resident set size: 7132 pages
% 9.97/3.51  
%------------------------------------------------------------------------------