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Enigma---0.5.1.THM-CRf.s

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

% Computer : n019.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 08:42:02 EDT 2022

% Result   : Theorem 7.17s 2.23s
% Output   : CNFRefutation 7.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   54 (  30 unt;   6 nHn;  49 RR)
%            Number of literals    :  114 (   4 equ;  65 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   61 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2,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-zw3h9zhs/lgb.p',i_0_2) ).

cnf(i_0_21,plain,
    k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_21) ).

cnf(i_0_72,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-zw3h9zhs/lgb.p',i_0_72) ).

cnf(i_0_67,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_67) ).

cnf(i_0_46,plain,
    m1_subset_1(esk9_1(X1),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_46) ).

cnf(i_0_5,negated_conjecture,
    ~ v1_xboole_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_5) ).

cnf(i_0_71,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-zw3h9zhs/lgb.p',i_0_71) ).

cnf(i_0_39,plain,
    ( m1_subset_1(k3_yellow_0(X1),u1_struct_0(X1))
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_39) ).

cnf(i_0_27,plain,
    ( r2_hidden(X1,X2)
    | ~ l1_orders_2(X3)
    | ~ v12_waybel_0(X2,X3)
    | ~ r2_hidden(X4,X2)
    | ~ r1_orders_2(X3,X1,X4)
    | ~ m1_subset_1(X1,u1_struct_0(X3))
    | ~ m1_subset_1(X4,u1_struct_0(X3))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_27) ).

cnf(i_0_3,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-zw3h9zhs/lgb.p',i_0_3) ).

cnf(i_0_6,negated_conjecture,
    l1_orders_2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_6) ).

cnf(i_0_70,plain,
    ( v3_struct_0(X1)
    | r1_orders_2(X1,k3_yellow_0(X1),X2)
    | ~ v4_orders_2(X1)
    | ~ v1_yellow_0(X1)
    | ~ l1_orders_2(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_70) ).

cnf(i_0_8,negated_conjecture,
    v1_yellow_0(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_8) ).

cnf(i_0_9,negated_conjecture,
    v4_orders_2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_9) ).

cnf(i_0_12,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_12) ).

cnf(i_0_65,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_65) ).

cnf(i_0_34,plain,
    ( r2_hidden(X1,X2)
    | X3 != k3_xboole_0(X4,X2)
    | ~ r2_hidden(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_34) ).

cnf(i_0_1,negated_conjecture,
    ~ r2_hidden(k3_yellow_0(esk2_0),u1_struct_0(esk1_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zw3h9zhs/lgb.p',i_0_1) ).

cnf(c_0_91,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_2 ).

cnf(c_0_92,plain,
    k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
    i_0_21 ).

cnf(c_0_93,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    i_0_72 ).

cnf(c_0_94,negated_conjecture,
    m1_subset_1(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0)),k1_zfmisc_1(u1_struct_0(esk2_0))),
    inference(rw,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_95,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_67 ).

cnf(c_0_96,plain,
    m1_subset_1(esk9_1(X1),X1),
    i_0_46 ).

cnf(c_0_97,negated_conjecture,
    ~ v1_xboole_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0))),
    i_0_5 ).

cnf(c_0_98,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    i_0_71 ).

cnf(c_0_99,plain,
    ( m1_subset_1(k3_yellow_0(X1),u1_struct_0(X1))
    | ~ l1_orders_2(X1) ),
    i_0_39 ).

cnf(c_0_100,negated_conjecture,
    ( ~ v1_xboole_0(u1_struct_0(esk2_0))
    | ~ r2_hidden(X1,k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_101,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(esk9_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_102,negated_conjecture,
    ~ v1_xboole_0(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),
    inference(rw,[status(thm)],[c_0_97,c_0_92]) ).

cnf(c_0_103,plain,
    ( r2_hidden(X1,X2)
    | ~ l1_orders_2(X3)
    | ~ v12_waybel_0(X2,X3)
    | ~ r2_hidden(X4,X2)
    | ~ r1_orders_2(X3,X1,X4)
    | ~ m1_subset_1(X1,u1_struct_0(X3))
    | ~ m1_subset_1(X4,u1_struct_0(X3))
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3))) ),
    i_0_27 ).

cnf(c_0_104,negated_conjecture,
    v12_waybel_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),esk2_0),
    i_0_3 ).

cnf(c_0_105,negated_conjecture,
    ( m1_subset_1(X1,u1_struct_0(esk2_0))
    | ~ r2_hidden(X1,k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_98,c_0_94]) ).

cnf(c_0_106,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | r2_hidden(k3_yellow_0(X1),u1_struct_0(X1))
    | ~ l1_orders_2(X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_99]) ).

cnf(c_0_107,negated_conjecture,
    l1_orders_2(esk2_0),
    i_0_6 ).

cnf(c_0_108,negated_conjecture,
    ~ v1_xboole_0(u1_struct_0(esk2_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).

cnf(c_0_109,plain,
    ( r2_hidden(X1,X2)
    | ~ r1_orders_2(X3,X1,X4)
    | ~ l1_orders_2(X3)
    | ~ v12_waybel_0(X2,X3)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3)))
    | ~ m1_subset_1(X1,u1_struct_0(X3))
    | ~ r2_hidden(X4,X2) ),
    inference(csr,[status(thm)],[c_0_103,c_0_98]) ).

cnf(c_0_110,negated_conjecture,
    v12_waybel_0(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0)),esk2_0),
    inference(rw,[status(thm)],[c_0_104,c_0_92]) ).

cnf(c_0_111,plain,
    ( v3_struct_0(X1)
    | r1_orders_2(X1,k3_yellow_0(X1),X2)
    | ~ v4_orders_2(X1)
    | ~ v1_yellow_0(X1)
    | ~ l1_orders_2(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_70 ).

cnf(c_0_112,negated_conjecture,
    m1_subset_1(esk9_1(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),u1_struct_0(esk2_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_101]),c_0_102]) ).

cnf(c_0_113,negated_conjecture,
    v1_yellow_0(esk2_0),
    i_0_8 ).

cnf(c_0_114,negated_conjecture,
    v4_orders_2(esk2_0),
    i_0_9 ).

cnf(c_0_115,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    i_0_12 ).

cnf(c_0_116,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    i_0_65 ).

cnf(c_0_117,negated_conjecture,
    r2_hidden(k3_yellow_0(esk2_0),u1_struct_0(esk2_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).

cnf(c_0_118,negated_conjecture,
    ( r2_hidden(X1,k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0)))
    | ~ r1_orders_2(esk2_0,X1,X2)
    | ~ m1_subset_1(X1,u1_struct_0(esk2_0))
    | ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_94]),c_0_107]),c_0_110])]) ).

cnf(c_0_119,plain,
    r1_orders_2(esk2_0,k3_yellow_0(esk2_0),esk9_1(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_114]),c_0_107])]),c_0_115]) ).

cnf(c_0_120,plain,
    m1_subset_1(k3_yellow_0(esk2_0),u1_struct_0(esk2_0)),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_121,plain,
    ( r2_hidden(X1,X2)
    | X3 != k3_xboole_0(X4,X2)
    | ~ r2_hidden(X1,X3) ),
    i_0_34 ).

cnf(c_0_122,plain,
    ( r2_hidden(k3_yellow_0(esk2_0),k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0)))
    | ~ r2_hidden(esk9_1(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120])]) ).

cnf(c_0_123,plain,
    ( r2_hidden(X1,X2)
    | ~ r2_hidden(X1,k3_xboole_0(X3,X2)) ),
    inference(er,[status(thm)],[c_0_121]) ).

cnf(c_0_124,plain,
    r2_hidden(k3_yellow_0(esk2_0),k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_101]),c_0_102]) ).

cnf(c_0_125,negated_conjecture,
    ~ r2_hidden(k3_yellow_0(esk2_0),u1_struct_0(esk1_0)),
    i_0_1 ).

cnf(c_0_126,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU411+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jun 20 00:56:11 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.17/2.23  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.17/2.23  # No SInE strategy applied
% 7.17/2.23  # Trying AutoSched0 for 150 seconds
% 7.17/2.23  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 7.17/2.23  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.17/2.23  #
% 7.17/2.23  # Preprocessing time       : 0.024 s
% 7.17/2.23  # Presaturation interreduction done
% 7.17/2.23  
% 7.17/2.23  # Proof found!
% 7.17/2.23  # SZS status Theorem
% 7.17/2.23  # SZS output start CNFRefutation
% See solution above
% 7.17/2.23  # Training examples: 0 positive, 0 negative
% 7.17/2.23  
% 7.17/2.23  # -------------------------------------------------
% 7.17/2.23  # User time                : 0.045 s
% 7.17/2.23  # System time              : 0.008 s
% 7.17/2.23  # Total time               : 0.053 s
% 7.17/2.23  # Maximum resident set size: 7124 pages
% 7.17/2.23  
%------------------------------------------------------------------------------