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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM496+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 08:36:39 EDT 2022

% Result   : Theorem 7.81s 2.40s
% Output   : CNFRefutation 7.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   41 (  22 unt;  12 nHn;  41 RR)
%            Number of literals    :   90 (  31 equ;  42 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_204,hypothesis,
    ( X1 = sz10
    | X1 = xp
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,xp) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_204) ).

cnf(i_0_69,plain,
    ( X1 = sz00
    | X1 = sz10
    | doDivides0(esk4_1(X1),X1)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_69) ).

cnf(i_0_71,hypothesis,
    aNaturalNumber0(xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_71) ).

cnf(i_0_206,hypothesis,
    xp != sz10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_206) ).

cnf(i_0_207,hypothesis,
    sz00 != xp,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_207) ).

cnf(i_0_70,plain,
    ( X1 = sz00
    | X1 = sz10
    | aNaturalNumber0(esk4_1(X1))
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_70) ).

cnf(i_0_66,plain,
    ( X1 != sz10
    | ~ aNaturalNumber0(X1)
    | ~ isPrime0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_66) ).

cnf(i_0_4,plain,
    aNaturalNumber0(sz10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_4) ).

cnf(i_0_68,plain,
    ( X1 = sz00
    | X1 = sz10
    | isPrime0(esk4_1(X1))
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_68) ).

cnf(i_0_57,plain,
    ( doDivides0(X1,sdtpldt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X3)
    | ~ doDivides0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_57) ).

cnf(i_0_221,hypothesis,
    ( doDivides0(xp,xm)
    | doDivides0(xp,xr) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_221) ).

cnf(i_0_230,negated_conjecture,
    ~ doDivides0(xp,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_230) ).

cnf(i_0_213,hypothesis,
    aNaturalNumber0(xr),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_213) ).

cnf(i_0_7,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_7) ).

cnf(i_0_212,hypothesis,
    sdtpldt0(xp,xr) = xn,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_212) ).

cnf(i_0_232,negated_conjecture,
    ~ doDivides0(xp,xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-938x0frb/lgb.p',i_0_232) ).

cnf(c_0_249,hypothesis,
    ( X1 = sz10
    | X1 = xp
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,xp) ),
    i_0_204 ).

cnf(c_0_250,plain,
    ( X1 = sz00
    | X1 = sz10
    | doDivides0(esk4_1(X1),X1)
    | ~ aNaturalNumber0(X1) ),
    i_0_69 ).

cnf(c_0_251,hypothesis,
    aNaturalNumber0(xp),
    i_0_71 ).

cnf(c_0_252,hypothesis,
    xp != sz10,
    i_0_206 ).

cnf(c_0_253,hypothesis,
    sz00 != xp,
    i_0_207 ).

cnf(c_0_254,hypothesis,
    ( esk4_1(xp) = sz10
    | esk4_1(xp) = xp
    | ~ aNaturalNumber0(esk4_1(xp)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251])]),c_0_252]),c_0_253]) ).

cnf(c_0_255,plain,
    ( X1 = sz00
    | X1 = sz10
    | aNaturalNumber0(esk4_1(X1))
    | ~ aNaturalNumber0(X1) ),
    i_0_70 ).

cnf(c_0_256,plain,
    ( X1 != sz10
    | ~ aNaturalNumber0(X1)
    | ~ isPrime0(X1) ),
    i_0_66 ).

cnf(c_0_257,plain,
    aNaturalNumber0(sz10),
    i_0_4 ).

cnf(c_0_258,plain,
    ( X1 = sz00
    | X1 = sz10
    | isPrime0(esk4_1(X1))
    | ~ aNaturalNumber0(X1) ),
    i_0_68 ).

cnf(c_0_259,plain,
    ( esk4_1(xp) = xp
    | esk4_1(xp) = sz10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_251])]),c_0_252]),c_0_253]) ).

cnf(c_0_260,plain,
    ~ isPrime0(sz10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_256]),c_0_257])]) ).

cnf(c_0_261,plain,
    esk4_1(xp) = xp,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_251])]),c_0_252]),c_0_253]),c_0_260]) ).

cnf(c_0_262,plain,
    ( doDivides0(X1,sdtpldt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X3)
    | ~ doDivides0(X1,X2) ),
    i_0_57 ).

cnf(c_0_263,plain,
    doDivides0(xp,xp),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_261]),c_0_251])]),c_0_252]),c_0_253]) ).

cnf(c_0_264,hypothesis,
    ( doDivides0(xp,xm)
    | doDivides0(xp,xr) ),
    i_0_221 ).

cnf(c_0_265,negated_conjecture,
    ~ doDivides0(xp,xm),
    i_0_230 ).

cnf(c_0_266,plain,
    ( doDivides0(xp,sdtpldt0(X1,xp))
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(xp,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_251])]) ).

cnf(c_0_267,hypothesis,
    doDivides0(xp,xr),
    inference(sr,[status(thm)],[c_0_264,c_0_265]) ).

cnf(c_0_268,hypothesis,
    aNaturalNumber0(xr),
    i_0_213 ).

cnf(c_0_269,hypothesis,
    doDivides0(xp,sdtpldt0(xr,xp)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268])]) ).

cnf(c_0_270,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_7 ).

cnf(c_0_271,hypothesis,
    sdtpldt0(xp,xr) = xn,
    i_0_212 ).

cnf(c_0_272,negated_conjecture,
    ~ doDivides0(xp,xn),
    i_0_232 ).

cnf(c_0_273,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_269,c_0_270]),c_0_271]),c_0_251]),c_0_268])]),c_0_272]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM496+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n020.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 : Tue Jul  5 07:20:16 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 7.81/2.40  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.81/2.40  # No SInE strategy applied
% 7.81/2.40  # Trying AutoSched0 for 150 seconds
% 7.81/2.40  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.81/2.40  # and selection function SelectNewComplexAHP.
% 7.81/2.40  #
% 7.81/2.40  # Preprocessing time       : 0.025 s
% 7.81/2.40  # Presaturation interreduction done
% 7.81/2.40  
% 7.81/2.40  # Proof found!
% 7.81/2.40  # SZS status Theorem
% 7.81/2.40  # SZS output start CNFRefutation
% See solution above
% 7.81/2.40  # Training examples: 0 positive, 0 negative
% 7.81/2.40  
% 7.81/2.40  # -------------------------------------------------
% 7.81/2.40  # User time                : 0.060 s
% 7.81/2.40  # System time              : 0.007 s
% 7.81/2.40  # Total time               : 0.067 s
% 7.81/2.40  # Maximum resident set size: 7128 pages
% 7.81/2.40  
%------------------------------------------------------------------------------