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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU115+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 08:38:32 EDT 2022

% Result   : Theorem 6.39s 2.03s
% Output   : CNFRefutation 6.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (  12 unt;   0 nHn;  11 RR)
%            Number of literals    :   20 (  10 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :    9 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_61,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygp8078i/lgb.p',i_0_61) ).

cnf(i_0_44,plain,
    empty(esk4_1(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygp8078i/lgb.p',i_0_44) ).

cnf(i_0_62,negated_conjecture,
    singleton(empty_set) != finite_subsets(empty_set),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygp8078i/lgb.p',i_0_62) ).

cnf(i_0_64,plain,
    singleton(empty_set) = powerset(empty_set),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygp8078i/lgb.p',i_0_64) ).

cnf(i_0_36,plain,
    finite(esk4_1(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygp8078i/lgb.p',i_0_36) ).

cnf(i_0_63,plain,
    ( finite_subsets(X1) = powerset(X1)
    | ~ finite(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ygp8078i/lgb.p',i_0_63) ).

cnf(c_0_71,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    i_0_61 ).

cnf(c_0_72,plain,
    empty(esk4_1(X1)),
    i_0_44 ).

cnf(c_0_73,negated_conjecture,
    singleton(empty_set) != finite_subsets(empty_set),
    i_0_62 ).

cnf(c_0_74,plain,
    singleton(empty_set) = powerset(empty_set),
    i_0_64 ).

cnf(c_0_75,plain,
    finite(esk4_1(X1)),
    i_0_36 ).

cnf(c_0_76,plain,
    esk4_1(X1) = empty_set,
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_77,negated_conjecture,
    finite_subsets(empty_set) != powerset(empty_set),
    inference(rw,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_78,plain,
    ( finite_subsets(X1) = powerset(X1)
    | ~ finite(X1) ),
    i_0_63 ).

cnf(c_0_79,plain,
    finite(empty_set),
    inference(rw,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_80,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : SEU115+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Sun Jun 19 08:56:49 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.13/0.37  # ENIGMATIC: Selected complete mode:
% 6.39/2.03  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.39/2.03  # No SInE strategy applied
% 6.39/2.03  # Trying AutoSched0 for 150 seconds
% 6.39/2.03  # AutoSched0-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_S0Y
% 6.39/2.03  # and selection function SelectMaxLComplexAvoidPosPred.
% 6.39/2.03  #
% 6.39/2.03  # Preprocessing time       : 0.015 s
% 6.39/2.03  
% 6.39/2.03  # Proof found!
% 6.39/2.03  # SZS status Theorem
% 6.39/2.03  # SZS output start CNFRefutation
% See solution above
% 6.39/2.03  # Training examples: 0 positive, 0 negative
% 6.39/2.03  
% 6.39/2.03  # -------------------------------------------------
% 6.39/2.03  # User time                : 0.016 s
% 6.39/2.03  # System time              : 0.004 s
% 6.39/2.03  # Total time               : 0.020 s
% 6.39/2.03  # Maximum resident set size: 7120 pages
% 6.39/2.03  
%------------------------------------------------------------------------------