TSTP Solution File: SEU411+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU411+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 08:42:03 EDT 2022

% Result   : Theorem 16.07s 8.12s
% Output   : CNFRefutation 16.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   54 (  34 unt;   6 nHn;  43 RR)
%            Number of literals    :   92 (   8 equ;  44 neg)
%            Maximal clause size   :    8 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   61 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5858,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_5858) ).

cnf(i_0_3787,plain,
    r1_tarski(k1_setfam_1(k2_tarski(X1,X2)),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_3787) ).

cnf(i_0_827,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_827) ).

cnf(i_0_3262,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_3262) ).

cnf(i_0_399,plain,
    k2_tarski(X1,X2) = k2_tarski(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_399) ).

cnf(i_0_6953,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_6953) ).

cnf(i_0_4131,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_4131) ).

cnf(i_0_4245,negated_conjecture,
    v12_waybel_0(k1_setfam_1(k2_tarski(u1_struct_0(esk571_0),u1_struct_0(esk572_0))),esk572_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_4245) ).

cnf(i_0_4247,negated_conjecture,
    ~ v1_xboole_0(k1_setfam_1(k2_tarski(u1_struct_0(esk571_0),u1_struct_0(esk572_0)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_4247) ).

cnf(i_0_7284,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_7284) ).

cnf(i_0_2387,plain,
    v1_xboole_0(esk270_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_2387) ).

cnf(i_0_6486,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_6486) ).

cnf(i_0_3159,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | r2_hidden(k3_yellow_0(X1),X2)
    | ~ l1_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_yellow_0(X1)
    | ~ v12_waybel_0(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_3159) ).

cnf(i_0_4248,negated_conjecture,
    l1_orders_2(esk572_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_4248) ).

cnf(i_0_4250,negated_conjecture,
    v1_yellow_0(esk572_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_4250) ).

cnf(i_0_4251,negated_conjecture,
    v4_orders_2(esk572_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_4251) ).

cnf(i_0_4254,negated_conjecture,
    ~ v3_struct_0(esk572_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_4254) ).

cnf(i_0_4087,plain,
    ( X1 = k1_xboole_0
    | r2_hidden(esk545_1(X1),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_4087) ).

cnf(i_0_4243,negated_conjecture,
    ~ r2_hidden(k3_yellow_0(esk572_0),u1_struct_0(esk571_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9fs2q8t7/lgb.p',i_0_4243) ).

cnf(c_0_7304,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    i_0_5858 ).

cnf(c_0_7305,plain,
    r1_tarski(k1_setfam_1(k2_tarski(X1,X2)),X1),
    i_0_3787 ).

cnf(c_0_7306,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_827 ).

cnf(c_0_7307,plain,
    m1_subset_1(k1_setfam_1(k2_tarski(X1,X2)),k1_zfmisc_1(X1)),
    inference(spm,[status(thm)],[c_0_7304,c_0_7305]) ).

cnf(c_0_7308,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    i_0_3262 ).

cnf(c_0_7309,plain,
    r2_hidden(k1_setfam_1(k2_tarski(X1,X2)),k1_zfmisc_1(X1)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7306,c_0_7307]),c_0_7308]) ).

cnf(c_0_7310,plain,
    k2_tarski(X1,X2) = k2_tarski(X2,X1),
    i_0_399 ).

cnf(c_0_7311,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    i_0_6953 ).

cnf(c_0_7312,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    i_0_4131 ).

cnf(c_0_7313,plain,
    r2_hidden(k1_setfam_1(k2_tarski(X1,X2)),k1_zfmisc_1(X2)),
    inference(spm,[status(thm)],[c_0_7309,c_0_7310]) ).

cnf(c_0_7314,negated_conjecture,
    v12_waybel_0(k1_setfam_1(k2_tarski(u1_struct_0(esk571_0),u1_struct_0(esk572_0))),esk572_0),
    i_0_4245 ).

cnf(c_0_7315,negated_conjecture,
    ~ v1_xboole_0(k1_setfam_1(k2_tarski(u1_struct_0(esk571_0),u1_struct_0(esk572_0)))),
    i_0_4247 ).

cnf(c_0_7316,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,k1_setfam_1(k2_tarski(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_7311,c_0_7307]) ).

cnf(c_0_7317,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    i_0_7284 ).

cnf(c_0_7318,plain,
    v1_xboole_0(esk270_0),
    i_0_2387 ).

cnf(c_0_7319,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    i_0_6486 ).

cnf(c_0_7320,plain,
    m1_subset_1(k1_setfam_1(k2_tarski(X1,X2)),k1_zfmisc_1(X2)),
    inference(spm,[status(thm)],[c_0_7312,c_0_7313]) ).

cnf(c_0_7321,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | r2_hidden(k3_yellow_0(X1),X2)
    | ~ l1_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_yellow_0(X1)
    | ~ v12_waybel_0(X2,X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_3159 ).

cnf(c_0_7322,negated_conjecture,
    v12_waybel_0(k1_setfam_1(k2_tarski(u1_struct_0(esk572_0),u1_struct_0(esk571_0))),esk572_0),
    inference(rw,[status(thm)],[c_0_7314,c_0_7310]) ).

cnf(c_0_7323,negated_conjecture,
    l1_orders_2(esk572_0),
    i_0_4248 ).

cnf(c_0_7324,negated_conjecture,
    v1_yellow_0(esk572_0),
    i_0_4250 ).

cnf(c_0_7325,negated_conjecture,
    v4_orders_2(esk572_0),
    i_0_4251 ).

cnf(c_0_7326,negated_conjecture,
    ~ v3_struct_0(esk572_0),
    i_0_4254 ).

cnf(c_0_7327,negated_conjecture,
    ~ v1_xboole_0(k1_setfam_1(k2_tarski(u1_struct_0(esk572_0),u1_struct_0(esk571_0)))),
    inference(rw,[status(thm)],[c_0_7315,c_0_7310]) ).

cnf(c_0_7328,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,k1_setfam_1(k2_tarski(X3,X1))) ),
    inference(spm,[status(thm)],[c_0_7316,c_0_7310]) ).

cnf(c_0_7329,plain,
    ( X1 = k1_xboole_0
    | r2_hidden(esk545_1(X1),X1) ),
    i_0_4087 ).

cnf(c_0_7330,plain,
    esk270_0 = k1_xboole_0,
    inference(spm,[status(thm)],[c_0_7317,c_0_7318]) ).

cnf(c_0_7331,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,k1_setfam_1(k2_tarski(X3,X2))) ),
    inference(spm,[status(thm)],[c_0_7319,c_0_7320]) ).

cnf(c_0_7332,negated_conjecture,
    r2_hidden(k3_yellow_0(esk572_0),k1_setfam_1(k2_tarski(u1_struct_0(esk572_0),u1_struct_0(esk571_0)))),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7321,c_0_7322]),c_0_7323]),c_0_7324]),c_0_7325]),c_0_7307])]),c_0_7326]),c_0_7327]) ).

cnf(c_0_7333,plain,
    ( k1_setfam_1(k2_tarski(X1,X2)) = k1_xboole_0
    | ~ v1_xboole_0(X2) ),
    inference(spm,[status(thm)],[c_0_7328,c_0_7329]) ).

cnf(c_0_7334,plain,
    v1_xboole_0(k1_xboole_0),
    inference(rw,[status(thm)],[c_0_7318,c_0_7330]) ).

cnf(c_0_7335,negated_conjecture,
    m1_subset_1(k3_yellow_0(esk572_0),u1_struct_0(esk571_0)),
    inference(spm,[status(thm)],[c_0_7331,c_0_7332]) ).

cnf(c_0_7336,negated_conjecture,
    ~ v1_xboole_0(u1_struct_0(esk571_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7327,c_0_7333]),c_0_7334])]) ).

cnf(c_0_7337,negated_conjecture,
    ~ r2_hidden(k3_yellow_0(esk572_0),u1_struct_0(esk571_0)),
    i_0_4243 ).

cnf(c_0_7338,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7306,c_0_7335]),c_0_7336]),c_0_7337]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU411+4 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n009.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 23:26:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 2.62/2.83  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.62/2.83  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 2.62/2.83  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 2.62/2.83  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 16.07/8.12  # ENIGMATIC: Solved by autoschedule-lgb:
% 16.07/8.12  # No SInE strategy applied
% 16.07/8.12  # Trying AutoSched0 for 148 seconds
% 16.07/8.12  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 16.07/8.12  # and selection function SelectCQIPrecWNTNp.
% 16.07/8.12  #
% 16.07/8.12  # Preprocessing time       : 0.032 s
% 16.07/8.12  # Presaturation interreduction done
% 16.07/8.12  
% 16.07/8.12  # Proof found!
% 16.07/8.12  # SZS status Theorem
% 16.07/8.12  # SZS output start CNFRefutation
% See solution above
% 16.07/8.12  # Training examples: 0 positive, 0 negative
% 16.07/8.12  
% 16.07/8.12  # -------------------------------------------------
% 16.07/8.12  # User time                : 0.158 s
% 16.07/8.12  # System time              : 0.011 s
% 16.07/8.12  # Total time               : 0.169 s
% 16.07/8.12  # Maximum resident set size: 7116 pages
% 16.07/8.12  
%------------------------------------------------------------------------------