TSTP Solution File: SEU422+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU422+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 39.43s 8.09s
% Output   : CNFRefutation 39.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   42 (  13 unt;   7 nHn;  36 RR)
%            Number of literals    :   85 (   6 equ;  41 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   67 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3871,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9yst49_7/lgb.p',i_0_3871) ).

cnf(i_0_2674,negated_conjecture,
    m1_subset_1(esk385_0,k1_zfmisc_1(esk384_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9yst49_7/lgb.p',i_0_2674) ).

cnf(i_0_532,plain,
    ( r2_hidden(X1,X2)
    | X2 != k1_zfmisc_1(X3)
    | ~ r1_tarski(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9yst49_7/lgb.p',i_0_532) ).

cnf(i_0_2958,plain,
    ( r1_tarski(X1,X2)
    | ~ r1_tarski(X3,X2)
    | ~ r1_tarski(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9yst49_7/lgb.p',i_0_2958) ).

cnf(i_0_533,plain,
    ( r1_tarski(X1,X2)
    | X3 != k1_zfmisc_1(X2)
    | ~ r2_hidden(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9yst49_7/lgb.p',i_0_533) ).

cnf(i_0_2061,plain,
    r1_tarski(X1,k1_zfmisc_1(k3_tarski(X1))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9yst49_7/lgb.p',i_0_2061) ).

cnf(i_0_4233,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-9yst49_7/lgb.p',i_0_4233) ).

cnf(i_0_3870,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9yst49_7/lgb.p',i_0_3870) ).

cnf(i_0_2580,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-9yst49_7/lgb.p',i_0_2580) ).

cnf(i_0_640,plain,
    ( r1_tarski(X1,X2)
    | r2_hidden(esk98_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9yst49_7/lgb.p',i_0_640) ).

cnf(i_0_2673,negated_conjecture,
    ~ m1_subset_1(a_2_0_relset_2(esk384_0,esk385_0),k1_zfmisc_1(k1_zfmisc_1(esk384_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9yst49_7/lgb.p',i_0_2673) ).

cnf(i_0_2675,negated_conjecture,
    ~ v1_xboole_0(esk384_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9yst49_7/lgb.p',i_0_2675) ).

cnf(i_0_639,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(esk98_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9yst49_7/lgb.p',i_0_639) ).

cnf(i_0_4923,plain,
    ( r1_tarski(k1_zfmisc_1(X1),k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9yst49_7/lgb.p',i_0_4923) ).

cnf(c_0_4938,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    i_0_3871 ).

cnf(c_0_4939,negated_conjecture,
    m1_subset_1(esk385_0,k1_zfmisc_1(esk384_0)),
    i_0_2674 ).

cnf(c_0_4940,plain,
    ( r2_hidden(X1,X2)
    | X2 != k1_zfmisc_1(X3)
    | ~ r1_tarski(X1,X3) ),
    i_0_532 ).

cnf(c_0_4941,plain,
    ( r1_tarski(X1,X2)
    | ~ r1_tarski(X3,X2)
    | ~ r1_tarski(X1,X3) ),
    i_0_2958 ).

cnf(c_0_4942,negated_conjecture,
    r1_tarski(esk385_0,esk384_0),
    inference(spm,[status(thm)],[c_0_4938,c_0_4939]) ).

cnf(c_0_4943,plain,
    ( r1_tarski(X1,X2)
    | X3 != k1_zfmisc_1(X2)
    | ~ r2_hidden(X1,X3) ),
    i_0_533 ).

cnf(c_0_4944,plain,
    ( r2_hidden(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    inference(er,[status(thm)],[c_0_4940]) ).

cnf(c_0_4945,plain,
    r1_tarski(X1,k1_zfmisc_1(k3_tarski(X1))),
    i_0_2061 ).

cnf(c_0_4946,negated_conjecture,
    ( r1_tarski(X1,esk384_0)
    | ~ r1_tarski(X1,esk385_0) ),
    inference(spm,[status(thm)],[c_0_4941,c_0_4942]) ).

cnf(c_0_4947,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(X1,k1_zfmisc_1(X2)) ),
    inference(er,[status(thm)],[c_0_4943]) ).

cnf(c_0_4948,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    i_0_4233 ).

cnf(c_0_4949,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    i_0_3870 ).

cnf(c_0_4950,plain,
    r2_hidden(X1,k1_zfmisc_1(k1_zfmisc_1(k3_tarski(X1)))),
    inference(spm,[status(thm)],[c_0_4944,c_0_4945]) ).

cnf(c_0_4951,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_2580 ).

cnf(c_0_4952,plain,
    ( r1_tarski(X1,esk384_0)
    | ~ r2_hidden(X1,k1_zfmisc_1(esk385_0)) ),
    inference(spm,[status(thm)],[c_0_4946,c_0_4947]) ).

cnf(c_0_4953,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ r1_tarski(X3,X2) ),
    inference(spm,[status(thm)],[c_0_4948,c_0_4949]) ).

cnf(c_0_4954,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(a_2_0_relset_2(X1,X2),k1_zfmisc_1(k1_zfmisc_1(X2)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(spm,[status(thm)],[c_0_4950,c_0_4951]) ).

cnf(c_0_4955,plain,
    ( r2_hidden(X1,k1_zfmisc_1(esk384_0))
    | ~ r2_hidden(X1,k1_zfmisc_1(esk385_0)) ),
    inference(spm,[status(thm)],[c_0_4944,c_0_4952]) ).

cnf(c_0_4956,plain,
    ( r1_tarski(X1,X2)
    | r2_hidden(esk98_2(X1,X2),X1) ),
    i_0_640 ).

cnf(c_0_4957,negated_conjecture,
    ~ m1_subset_1(a_2_0_relset_2(esk384_0,esk385_0),k1_zfmisc_1(k1_zfmisc_1(esk384_0))),
    i_0_2673 ).

cnf(c_0_4958,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(a_2_0_relset_2(X1,X2),X3)
    | ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X2)),X3)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
    inference(spm,[status(thm)],[c_0_4953,c_0_4954]) ).

cnf(c_0_4959,negated_conjecture,
    ~ v1_xboole_0(esk384_0),
    i_0_2675 ).

cnf(c_0_4960,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(esk98_2(X1,X2),X2) ),
    i_0_639 ).

cnf(c_0_4961,plain,
    ( r2_hidden(esk98_2(k1_zfmisc_1(esk385_0),X1),k1_zfmisc_1(esk384_0))
    | r1_tarski(k1_zfmisc_1(esk385_0),X1) ),
    inference(spm,[status(thm)],[c_0_4955,c_0_4956]) ).

cnf(c_0_4962,negated_conjecture,
    ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(esk385_0)),k1_zfmisc_1(k1_zfmisc_1(esk384_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4957,c_0_4958]),c_0_4939])]),c_0_4959]) ).

cnf(c_0_4963,plain,
    ( r1_tarski(k1_zfmisc_1(X1),k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    i_0_4923 ).

cnf(c_0_4964,plain,
    r1_tarski(k1_zfmisc_1(esk385_0),k1_zfmisc_1(esk384_0)),
    inference(spm,[status(thm)],[c_0_4960,c_0_4961]) ).

cnf(c_0_4965,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4962,c_0_4963]),c_0_4964])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU422+3 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.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 09:10:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.91/1.12  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.12  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.91/1.12  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.91/1.12  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 39.43/8.09  # ENIGMATIC: Solved by autoschedule-lgb:
% 39.43/8.09  # No SInE strategy applied
% 39.43/8.09  # Trying AutoSched0 for 149 seconds
% 39.43/8.09  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S061N
% 39.43/8.09  # and selection function SelectMaxLComplexAPPNTNp.
% 39.43/8.09  #
% 39.43/8.09  # Preprocessing time       : 0.027 s
% 39.43/8.09  # Presaturation interreduction done
% 39.43/8.09  
% 39.43/8.09  # Proof found!
% 39.43/8.09  # SZS status Theorem
% 39.43/8.09  # SZS output start CNFRefutation
% See solution above
% 39.43/8.09  # Training examples: 0 positive, 0 negative
% 39.43/8.09  
% 39.43/8.09  # -------------------------------------------------
% 39.43/8.09  # User time                : 3.411 s
% 39.43/8.09  # System time              : 0.087 s
% 39.43/8.09  # Total time               : 3.498 s
% 39.43/8.09  # Maximum resident set size: 7128 pages
% 39.43/8.09  
%------------------------------------------------------------------------------