TSTP Solution File: SEU413+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU413+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 08:42:04 EDT 2022

% Result   : Theorem 8.59s 2.46s
% Output   : CNFRefutation 8.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   29 (  20 unt;   0 nHn;  29 RR)
%            Number of literals    :   57 (   0 equ;  30 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_47,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_orders_2(X3)
    | ~ l1_orders_2(X2)
    | ~ r2_hidden(X4,u1_struct_0(X2))
    | ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X3)
    | ~ r2_hidden(k4_tarski(X1,X4),u1_orders_2(k1_latsum_1(X2,X3)))
    | ~ m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zx7vj4fs/lgb.p',i_0_47) ).

cnf(i_0_4,negated_conjecture,
    m1_subset_1(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),k1_zfmisc_1(u1_struct_0(esk2_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zx7vj4fs/lgb.p',i_0_4) ).

cnf(i_0_8,negated_conjecture,
    l1_orders_2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zx7vj4fs/lgb.p',i_0_8) ).

cnf(i_0_9,negated_conjecture,
    l1_orders_2(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zx7vj4fs/lgb.p',i_0_9) ).

cnf(i_0_5,negated_conjecture,
    v12_waybel_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zx7vj4fs/lgb.p',i_0_5) ).

cnf(i_0_15,plain,
    ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(X3))
    | ~ l1_orders_2(X3)
    | ~ r1_orders_2(X3,X1,X2)
    | ~ m1_subset_1(X2,u1_struct_0(X3))
    | ~ m1_subset_1(X1,u1_struct_0(X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zx7vj4fs/lgb.p',i_0_15) ).

cnf(i_0_3,negated_conjecture,
    r1_orders_2(k1_latsum_1(esk1_0,esk2_0),esk3_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zx7vj4fs/lgb.p',i_0_3) ).

cnf(i_0_6,negated_conjecture,
    m1_subset_1(esk4_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zx7vj4fs/lgb.p',i_0_6) ).

cnf(i_0_7,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zx7vj4fs/lgb.p',i_0_7) ).

cnf(i_0_2,negated_conjecture,
    r2_hidden(esk4_0,u1_struct_0(esk1_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zx7vj4fs/lgb.p',i_0_2) ).

cnf(i_0_18,plain,
    ( l1_orders_2(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zx7vj4fs/lgb.p',i_0_18) ).

cnf(i_0_1,negated_conjecture,
    ~ r2_hidden(esk3_0,u1_struct_0(esk1_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zx7vj4fs/lgb.p',i_0_1) ).

cnf(c_0_60,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_orders_2(X3)
    | ~ l1_orders_2(X2)
    | ~ r2_hidden(X4,u1_struct_0(X2))
    | ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X3)
    | ~ r2_hidden(k4_tarski(X1,X4),u1_orders_2(k1_latsum_1(X2,X3)))
    | ~ m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X3))) ),
    i_0_47 ).

cnf(c_0_61,negated_conjecture,
    m1_subset_1(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),k1_zfmisc_1(u1_struct_0(esk2_0))),
    i_0_4 ).

cnf(c_0_62,negated_conjecture,
    l1_orders_2(esk2_0),
    i_0_8 ).

cnf(c_0_63,negated_conjecture,
    l1_orders_2(esk1_0),
    i_0_9 ).

cnf(c_0_64,negated_conjecture,
    v12_waybel_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),esk2_0),
    i_0_5 ).

cnf(c_0_65,plain,
    ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(X3))
    | ~ l1_orders_2(X3)
    | ~ r1_orders_2(X3,X1,X2)
    | ~ m1_subset_1(X2,u1_struct_0(X3))
    | ~ m1_subset_1(X1,u1_struct_0(X3)) ),
    i_0_15 ).

cnf(c_0_66,negated_conjecture,
    r1_orders_2(k1_latsum_1(esk1_0,esk2_0),esk3_0,esk4_0),
    i_0_3 ).

cnf(c_0_67,negated_conjecture,
    m1_subset_1(esk4_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))),
    i_0_6 ).

cnf(c_0_68,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))),
    i_0_7 ).

cnf(c_0_69,negated_conjecture,
    ( r2_hidden(X1,u1_struct_0(esk1_0))
    | ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(k1_latsum_1(esk1_0,esk2_0)))
    | ~ r2_hidden(X2,u1_struct_0(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63]),c_0_64])]) ).

cnf(c_0_70,negated_conjecture,
    r2_hidden(esk4_0,u1_struct_0(esk1_0)),
    i_0_2 ).

cnf(c_0_71,negated_conjecture,
    ( r2_hidden(k4_tarski(esk3_0,esk4_0),u1_orders_2(k1_latsum_1(esk1_0,esk2_0)))
    | ~ l1_orders_2(k1_latsum_1(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_68])]) ).

cnf(c_0_72,plain,
    ( l1_orders_2(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    i_0_18 ).

cnf(c_0_73,negated_conjecture,
    ( r2_hidden(X1,u1_struct_0(esk1_0))
    | ~ r2_hidden(k4_tarski(X1,esk4_0),u1_orders_2(k1_latsum_1(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_74,plain,
    r2_hidden(k4_tarski(esk3_0,esk4_0),u1_orders_2(k1_latsum_1(esk1_0,esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_62]),c_0_63])]) ).

cnf(c_0_75,negated_conjecture,
    ~ r2_hidden(esk3_0,u1_struct_0(esk1_0)),
    i_0_1 ).

cnf(c_0_76,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SEU413+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n021.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 20:51:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 8.59/2.46  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.59/2.46  # No SInE strategy applied
% 8.59/2.46  # Trying AutoSched0 for 150 seconds
% 8.59/2.46  # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S2q
% 8.59/2.46  # and selection function SelectCQArNTNp.
% 8.59/2.46  #
% 8.59/2.46  # Preprocessing time       : 0.024 s
% 8.59/2.46  # Presaturation interreduction done
% 8.59/2.46  
% 8.59/2.46  # Proof found!
% 8.59/2.46  # SZS status Theorem
% 8.59/2.46  # SZS output start CNFRefutation
% See solution above
% 8.59/2.46  # Training examples: 0 positive, 0 negative
% 8.59/2.46  
% 8.59/2.46  # -------------------------------------------------
% 8.59/2.46  # User time                : 0.026 s
% 8.59/2.46  # System time              : 0.007 s
% 8.59/2.46  # Total time               : 0.033 s
% 8.59/2.46  # Maximum resident set size: 7124 pages
% 8.59/2.46  
%------------------------------------------------------------------------------