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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM523+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 : Mon Jul 18 08:36:56 EDT 2022

% Result   : Theorem 7.37s 2.37s
% Output   : CNFRefutation 7.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   23 (  13 unt;   2 nHn;  23 RR)
%            Number of literals    :   52 (   4 equ;  30 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_50,plain,
    ( doDivides0(X1,X2)
    | X2 != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrhr2bc/lgb.p',i_0_50) ).

cnf(i_0_6,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrhr2bc/lgb.p',i_0_6) ).

cnf(i_0_85,hypothesis,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrhr2bc/lgb.p',i_0_85) ).

cnf(i_0_75,hypothesis,
    aNaturalNumber0(xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrhr2bc/lgb.p',i_0_75) ).

cnf(i_0_76,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrhr2bc/lgb.p',i_0_76) ).

cnf(i_0_90,negated_conjecture,
    ( ~ doDivides0(xp,xn)
    | ~ doDivides0(xp,sdtasdt0(xn,xn)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrhr2bc/lgb.p',i_0_90) ).

cnf(i_0_71,plain,
    ( doDivides0(X1,X2)
    | doDivides0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ isPrime0(X1)
    | ~ doDivides0(X1,sdtasdt0(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrhr2bc/lgb.p',i_0_71) ).

cnf(i_0_86,hypothesis,
    isPrime0(xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrhr2bc/lgb.p',i_0_86) ).

cnf(i_0_77,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrhr2bc/lgb.p',i_0_77) ).

cnf(c_0_100,plain,
    ( doDivides0(X1,X2)
    | X2 != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    i_0_50 ).

cnf(c_0_101,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_6 ).

cnf(c_0_102,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_100]),c_0_101]) ).

cnf(c_0_103,hypothesis,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    i_0_85 ).

cnf(c_0_104,hypothesis,
    aNaturalNumber0(xp),
    i_0_75 ).

cnf(c_0_105,hypothesis,
    ( doDivides0(xp,sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).

cnf(c_0_106,hypothesis,
    aNaturalNumber0(xm),
    i_0_76 ).

cnf(c_0_107,negated_conjecture,
    ( ~ doDivides0(xp,xn)
    | ~ doDivides0(xp,sdtasdt0(xn,xn)) ),
    i_0_90 ).

cnf(c_0_108,plain,
    doDivides0(xp,sdtasdt0(xn,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_101]),c_0_106])]) ).

cnf(c_0_109,plain,
    ( doDivides0(X1,X2)
    | doDivides0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ isPrime0(X1)
    | ~ doDivides0(X1,sdtasdt0(X3,X2)) ),
    i_0_71 ).

cnf(c_0_110,hypothesis,
    isPrime0(xp),
    i_0_86 ).

cnf(c_0_111,hypothesis,
    aNaturalNumber0(xn),
    i_0_77 ).

cnf(c_0_112,negated_conjecture,
    ~ doDivides0(xp,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108])]) ).

cnf(c_0_113,plain,
    $false,
    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_109,c_0_108]),c_0_110]),c_0_111]),c_0_104])]),c_0_112]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM523+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n016.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 : Tue Jul  5 02:27:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.37/2.37  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.37/2.37  # No SInE strategy applied
% 7.37/2.37  # Trying AutoSched0 for 150 seconds
% 7.37/2.37  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 7.37/2.37  # and selection function PSelectNewComplexAHP.
% 7.37/2.37  #
% 7.37/2.37  # Preprocessing time       : 0.024 s
% 7.37/2.37  # Presaturation interreduction done
% 7.37/2.37  
% 7.37/2.37  # Proof found!
% 7.37/2.37  # SZS status Theorem
% 7.37/2.37  # SZS output start CNFRefutation
% See solution above
% 7.37/2.37  # Training examples: 0 positive, 0 negative
% 7.37/2.37  
% 7.37/2.37  # -------------------------------------------------
% 7.37/2.37  # User time                : 0.033 s
% 7.37/2.37  # System time              : 0.004 s
% 7.37/2.37  # Total time               : 0.037 s
% 7.37/2.37  # Maximum resident set size: 7128 pages
% 7.37/2.37  
%------------------------------------------------------------------------------