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Enigma---0.5.1.THM-CRf.s

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

% Computer : n006.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 08:39:08 EDT 2022

% Result   : Theorem 7.84s 2.41s
% Output   : CNFRefutation 7.84s
% 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_5,plain,
    ( subset(X1,X2)
    | X3 != powerset(X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oqlfusls/lgb.p',i_0_5) ).

cnf(i_0_9,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oqlfusls/lgb.p',i_0_9) ).

cnf(i_0_21,negated_conjecture,
    element(esk5_0,powerset(esk4_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oqlfusls/lgb.p',i_0_21) ).

cnf(i_0_17,plain,
    ~ empty(powerset(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oqlfusls/lgb.p',i_0_17) ).

cnf(i_0_12,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oqlfusls/lgb.p',i_0_12) ).

cnf(i_0_20,negated_conjecture,
    in(esk6_0,esk5_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oqlfusls/lgb.p',i_0_20) ).

cnf(i_0_19,negated_conjecture,
    ~ in(esk6_0,esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oqlfusls/lgb.p',i_0_19) ).

cnf(c_0_29,plain,
    ( subset(X1,X2)
    | X3 != powerset(X2)
    | ~ in(X1,X3) ),
    i_0_5 ).

cnf(c_0_30,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    i_0_9 ).

cnf(c_0_31,negated_conjecture,
    element(esk5_0,powerset(esk4_0)),
    i_0_21 ).

cnf(c_0_32,plain,
    ~ empty(powerset(X1)),
    i_0_17 ).

cnf(c_0_33,plain,
    ( subset(X1,X2)
    | ~ in(X1,powerset(X2)) ),
    inference(er,[status(thm)],[c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    in(esk5_0,powerset(esk4_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).

cnf(c_0_35,plain,
    ( in(X1,X2)
    | ~ in(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_12 ).

cnf(c_0_36,negated_conjecture,
    subset(esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,plain,
    ( in(X1,esk4_0)
    | ~ in(X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_38,negated_conjecture,
    in(esk6_0,esk5_0),
    i_0_20 ).

cnf(c_0_39,negated_conjecture,
    ~ in(esk6_0,esk4_0),
    i_0_19 ).

cnf(c_0_40,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU169+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n006.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 : Sat Jun 18 22:37:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.84/2.41  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.84/2.41  # No SInE strategy applied
% 7.84/2.41  # Trying AutoSched0 for 150 seconds
% 7.84/2.41  # AutoSched0-Mode selected heuristic G_____0026_C18_F1_SE_CS_SP_S4S
% 7.84/2.41  # and selection function SelectNewComplexAHPNS.
% 7.84/2.41  #
% 7.84/2.41  # Preprocessing time       : 0.023 s
% 7.84/2.41  
% 7.84/2.41  # Proof found!
% 7.84/2.41  # SZS status Theorem
% 7.84/2.41  # SZS output start CNFRefutation
% See solution above
% 7.84/2.41  # Training examples: 0 positive, 0 negative
% 7.84/2.41  
% 7.84/2.41  # -------------------------------------------------
% 7.84/2.41  # User time                : 0.024 s
% 7.84/2.41  # System time              : 0.008 s
% 7.84/2.41  # Total time               : 0.032 s
% 7.84/2.41  # Maximum resident set size: 7124 pages
% 7.84/2.41  
%------------------------------------------------------------------------------