TSTP Solution File: SEU424+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU424+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 08:42:16 EDT 2022

% Result   : Theorem 9.65s 3.69s
% Output   : CNFRefutation 9.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   40 (  16 unt;   4 nHn;  35 RR)
%            Number of literals    :   75 (   3 equ;  40 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-4 aty)
%            Number of variables   :   69 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2932,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-5crehwu8/lgb.p',i_0_2932) ).

cnf(i_0_2657,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5crehwu8/lgb.p',i_0_2657) ).

cnf(i_0_314,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5crehwu8/lgb.p',i_0_314) ).

cnf(i_0_798,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5crehwu8/lgb.p',i_0_798) ).

cnf(i_0_3595,plain,
    ( r1_tarski(k1_zfmisc_1(X1),k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5crehwu8/lgb.p',i_0_3595) ).

cnf(i_0_1148,plain,
    r1_tarski(X1,k1_zfmisc_1(k3_tarski(X1))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5crehwu8/lgb.p',i_0_1148) ).

cnf(i_0_1884,negated_conjecture,
    ~ m1_subset_1(a_4_0_relset_2(esk319_0,esk320_0,esk321_0,esk322_0),k1_zfmisc_1(k1_zfmisc_1(esk320_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5crehwu8/lgb.p',i_0_1884) ).

cnf(i_0_1836,plain,
    ( k3_tarski(a_4_0_relset_2(X1,X2,X3,X4)) = k10_relset_1(X1,X2,X4,X3)
    | v1_xboole_0(X1)
    | ~ m2_relset_1(X4,X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5crehwu8/lgb.p',i_0_1836) ).

cnf(i_0_1886,negated_conjecture,
    m1_subset_1(esk321_0,k1_zfmisc_1(esk319_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5crehwu8/lgb.p',i_0_1886) ).

cnf(i_0_1887,negated_conjecture,
    ~ v1_xboole_0(esk319_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5crehwu8/lgb.p',i_0_1887) ).

cnf(i_0_1885,negated_conjecture,
    m2_relset_1(esk322_0,esk319_0,esk320_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5crehwu8/lgb.p',i_0_1885) ).

cnf(i_0_2658,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5crehwu8/lgb.p',i_0_2658) ).

cnf(i_0_634,plain,
    ( m1_subset_1(k10_relset_1(X1,X2,X3,X4),k1_zfmisc_1(X2))
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5crehwu8/lgb.p',i_0_634) ).

cnf(i_0_1128,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5crehwu8/lgb.p',i_0_1128) ).

cnf(c_0_3610,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    i_0_2932 ).

cnf(c_0_3611,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    i_0_2657 ).

cnf(c_0_3612,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_314 ).

cnf(c_0_3613,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    i_0_798 ).

cnf(c_0_3614,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ r1_tarski(X3,X2) ),
    inference(spm,[status(thm)],[c_0_3610,c_0_3611]) ).

cnf(c_0_3615,plain,
    ( r2_hidden(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3612,c_0_3611]),c_0_3613]) ).

cnf(c_0_3616,plain,
    ( m1_subset_1(X1,X2)
    | ~ r1_tarski(k1_zfmisc_1(X3),X2)
    | ~ r1_tarski(X1,X3) ),
    inference(spm,[status(thm)],[c_0_3614,c_0_3615]) ).

cnf(c_0_3617,plain,
    ( r1_tarski(k1_zfmisc_1(X1),k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    i_0_3595 ).

cnf(c_0_3618,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X3)
    | ~ r1_tarski(X3,X2) ),
    inference(spm,[status(thm)],[c_0_3616,c_0_3617]) ).

cnf(c_0_3619,plain,
    r1_tarski(X1,k1_zfmisc_1(k3_tarski(X1))),
    i_0_1148 ).

cnf(c_0_3620,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(k1_zfmisc_1(k3_tarski(X1)),X2) ),
    inference(spm,[status(thm)],[c_0_3618,c_0_3619]) ).

cnf(c_0_3621,negated_conjecture,
    ~ m1_subset_1(a_4_0_relset_2(esk319_0,esk320_0,esk321_0,esk322_0),k1_zfmisc_1(k1_zfmisc_1(esk320_0))),
    i_0_1884 ).

cnf(c_0_3622,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
    | ~ r1_tarski(k3_tarski(X1),X2) ),
    inference(spm,[status(thm)],[c_0_3620,c_0_3617]) ).

cnf(c_0_3623,plain,
    ( k3_tarski(a_4_0_relset_2(X1,X2,X3,X4)) = k10_relset_1(X1,X2,X4,X3)
    | v1_xboole_0(X1)
    | ~ m2_relset_1(X4,X1,X2)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    i_0_1836 ).

cnf(c_0_3624,negated_conjecture,
    m1_subset_1(esk321_0,k1_zfmisc_1(esk319_0)),
    i_0_1886 ).

cnf(c_0_3625,negated_conjecture,
    ~ v1_xboole_0(esk319_0),
    i_0_1887 ).

cnf(c_0_3626,negated_conjecture,
    ~ r1_tarski(k3_tarski(a_4_0_relset_2(esk319_0,esk320_0,esk321_0,esk322_0)),esk320_0),
    inference(spm,[status(thm)],[c_0_3621,c_0_3622]) ).

cnf(c_0_3627,negated_conjecture,
    ( k3_tarski(a_4_0_relset_2(esk319_0,X1,esk321_0,X2)) = k10_relset_1(esk319_0,X1,X2,esk321_0)
    | ~ m2_relset_1(X2,esk319_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3623,c_0_3624]),c_0_3625]) ).

cnf(c_0_3628,negated_conjecture,
    m2_relset_1(esk322_0,esk319_0,esk320_0),
    i_0_1885 ).

cnf(c_0_3629,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    i_0_2658 ).

cnf(c_0_3630,plain,
    ( m1_subset_1(k10_relset_1(X1,X2,X3,X4),k1_zfmisc_1(X2))
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_634 ).

cnf(c_0_3631,negated_conjecture,
    ~ r1_tarski(k10_relset_1(esk319_0,esk320_0,esk322_0,esk321_0),esk320_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3626,c_0_3627]),c_0_3628])]) ).

cnf(c_0_3632,plain,
    ( r1_tarski(k10_relset_1(X1,X2,X3,X4),X2)
    | ~ m1_relset_1(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_3629,c_0_3630]) ).

cnf(c_0_3633,plain,
    ~ m1_relset_1(esk322_0,esk319_0,esk320_0),
    inference(spm,[status(thm)],[c_0_3631,c_0_3632]) ).

cnf(c_0_3634,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_1128 ).

cnf(c_0_3635,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3633,c_0_3634]),c_0_3628])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU424+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 : 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 : Sun Jun 19 11:38:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected SinE mode:
% 0.38/0.59  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.59  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.38/0.59  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.38/0.59  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.65/3.69  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.65/3.69  # No SInE strategy applied
% 9.65/3.69  # Trying AutoSched0 for 150 seconds
% 9.65/3.69  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.65/3.69  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.65/3.69  #
% 9.65/3.69  # Preprocessing time       : 0.023 s
% 9.65/3.69  # Presaturation interreduction done
% 9.65/3.69  
% 9.65/3.69  # Proof found!
% 9.65/3.69  # SZS status Theorem
% 9.65/3.69  # SZS output start CNFRefutation
% See solution above
% 9.65/3.69  # Training examples: 0 positive, 0 negative
% 9.65/3.69  
% 9.65/3.69  # -------------------------------------------------
% 9.65/3.69  # User time                : 0.101 s
% 9.65/3.69  # System time              : 0.007 s
% 9.65/3.69  # Total time               : 0.108 s
% 9.65/3.69  # Maximum resident set size: 7128 pages
% 9.65/3.69  
%------------------------------------------------------------------------------