TSTP Solution File: SEU169+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU169+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 08:39:09 EDT 2022

% Result   : Theorem 7.52s 2.33s
% Output   : CNFRefutation 7.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  11 unt;   2 nHn;  19 RR)
%            Number of literals    :   33 (   2 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   21 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_18,plain,
    ( subset(X1,X2)
    | X3 != powerset(X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7fl59h2m/lgb.p',i_0_18) ).

cnf(i_0_22,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7fl59h2m/lgb.p',i_0_22) ).

cnf(i_0_100,negated_conjecture,
    element(esk19_0,powerset(esk18_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7fl59h2m/lgb.p',i_0_100) ).

cnf(i_0_82,plain,
    ~ empty(powerset(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7fl59h2m/lgb.p',i_0_82) ).

cnf(i_0_45,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7fl59h2m/lgb.p',i_0_45) ).

cnf(i_0_99,negated_conjecture,
    in(esk20_0,esk19_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7fl59h2m/lgb.p',i_0_99) ).

cnf(i_0_98,negated_conjecture,
    ~ in(esk20_0,esk18_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7fl59h2m/lgb.p',i_0_98) ).

cnf(c_0_108,plain,
    ( subset(X1,X2)
    | X3 != powerset(X2)
    | ~ in(X1,X3) ),
    i_0_18 ).

cnf(c_0_109,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    i_0_22 ).

cnf(c_0_110,negated_conjecture,
    element(esk19_0,powerset(esk18_0)),
    i_0_100 ).

cnf(c_0_111,plain,
    ~ empty(powerset(X1)),
    i_0_82 ).

cnf(c_0_112,plain,
    ( subset(X1,X2)
    | ~ in(X1,powerset(X2)) ),
    inference(er,[status(thm)],[c_0_108]) ).

cnf(c_0_113,negated_conjecture,
    in(esk19_0,powerset(esk18_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).

cnf(c_0_114,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_45 ).

cnf(c_0_115,plain,
    subset(esk19_0,esk18_0),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_116,plain,
    ( in(X1,esk18_0)
    | ~ in(X1,esk19_0) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_117,negated_conjecture,
    in(esk20_0,esk19_0),
    i_0_99 ).

cnf(c_0_118,negated_conjecture,
    ~ in(esk20_0,esk18_0),
    i_0_98 ).

cnf(c_0_119,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEU169+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 04:06:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected complete mode:
% 7.52/2.33  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.52/2.33  # No SInE strategy applied
% 7.52/2.33  # Trying AutoSched0 for 150 seconds
% 7.52/2.33  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S02CN
% 7.52/2.33  # and selection function SelectAntiRROptimalLit.
% 7.52/2.33  #
% 7.52/2.33  # Preprocessing time       : 0.025 s
% 7.52/2.33  # Presaturation interreduction done
% 7.52/2.33  
% 7.52/2.33  # Proof found!
% 7.52/2.33  # SZS status Theorem
% 7.52/2.33  # SZS output start CNFRefutation
% See solution above
% 7.52/2.33  # Training examples: 0 positive, 0 negative
% 7.52/2.33  
% 7.52/2.33  # -------------------------------------------------
% 7.52/2.33  # User time                : 0.030 s
% 7.52/2.33  # System time              : 0.005 s
% 7.52/2.33  # Total time               : 0.035 s
% 7.52/2.33  # Maximum resident set size: 7120 pages
% 7.52/2.33  
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