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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM473+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 08:36:23 EDT 2022

% Result   : Theorem 16.48s 3.32s
% Output   : CNFRefutation 16.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   54 (  30 unt;  13 nHn;  54 RR)
%            Number of literals    :  128 (  38 equ;  63 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    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   42 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_55,plain,
    ( X1 = sz00
    | aNaturalNumber0(X2)
    | X2 != sdtsldt0(X3,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ doDivides0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_55) ).

cnf(i_0_54,plain,
    ( X1 = sz00
    | X2 = sdtasdt0(X1,X3)
    | X3 != sdtsldt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_54) ).

cnf(i_0_64,hypothesis,
    sdtsldt0(xm,xl) = xp,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_64) ).

cnf(i_0_62,hypothesis,
    doDivides0(xl,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_62) ).

cnf(i_0_59,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_59) ).

cnf(i_0_60,hypothesis,
    aNaturalNumber0(xl),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_60) ).

cnf(i_0_63,hypothesis,
    sz00 != xl,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_63) ).

cnf(i_0_65,hypothesis,
    sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_65) ).

cnf(i_0_61,hypothesis,
    doDivides0(xl,sdtpldt0(xm,xn)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_61) ).

cnf(i_0_35,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_35) ).

cnf(i_0_5,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_5) ).

cnf(i_0_58,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_58) ).

cnf(i_0_43,plain,
    ( X1 = X2
    | X3 = sz00
    | sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X3,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ sdtlseqdt0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_43) ).

cnf(i_0_67,negated_conjecture,
    ~ sdtlseqdt0(xp,xq),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_67) ).

cnf(i_0_6,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_6) ).

cnf(i_0_33,plain,
    ( X1 = X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_33) ).

cnf(i_0_66,hypothesis,
    sdtlseqdt0(xm,sdtpldt0(xm,xn)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tudz9rfq/input.p',i_0_66) ).

cnf(c_0_85,plain,
    ( X1 = sz00
    | aNaturalNumber0(X2)
    | X2 != sdtsldt0(X3,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ doDivides0(X1,X3) ),
    i_0_55 ).

cnf(c_0_86,plain,
    ( X1 = sz00
    | X2 = sdtasdt0(X1,X3)
    | X3 != sdtsldt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X1,X2) ),
    i_0_54 ).

cnf(c_0_87,plain,
    ( X1 = sz00
    | aNaturalNumber0(sdtsldt0(X2,X1))
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(er,[status(thm)],[c_0_85]) ).

cnf(c_0_88,hypothesis,
    sdtsldt0(xm,xl) = xp,
    i_0_64 ).

cnf(c_0_89,hypothesis,
    doDivides0(xl,xm),
    i_0_62 ).

cnf(c_0_90,hypothesis,
    aNaturalNumber0(xm),
    i_0_59 ).

cnf(c_0_91,hypothesis,
    aNaturalNumber0(xl),
    i_0_60 ).

cnf(c_0_92,hypothesis,
    sz00 != xl,
    i_0_63 ).

cnf(c_0_93,hypothesis,
    sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
    i_0_65 ).

cnf(c_0_94,hypothesis,
    doDivides0(xl,sdtpldt0(xm,xn)),
    i_0_61 ).

cnf(c_0_95,plain,
    ( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
    | X1 = sz00
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(er,[status(thm)],[c_0_86]) ).

cnf(c_0_96,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    i_0_35 ).

cnf(c_0_97,hypothesis,
    aNaturalNumber0(xp),
    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_87,c_0_88]),c_0_89]),c_0_90]),c_0_91])]),c_0_92]) ).

cnf(c_0_98,hypothesis,
    ( aNaturalNumber0(xq)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_93]),c_0_94]),c_0_91])]),c_0_92]) ).

cnf(c_0_99,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_5 ).

cnf(c_0_100,hypothesis,
    aNaturalNumber0(xn),
    i_0_58 ).

cnf(c_0_101,plain,
    ( X1 = X2
    | X3 = sz00
    | sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X3,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_43 ).

cnf(c_0_102,hypothesis,
    sdtasdt0(xl,xp) = xm,
    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_95,c_0_88]),c_0_89]),c_0_90]),c_0_91])]),c_0_92]) ).

cnf(c_0_103,hypothesis,
    ( sdtasdt0(xl,xq) = sdtpldt0(xm,xn)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_93]),c_0_94]),c_0_91])]),c_0_92]) ).

cnf(c_0_104,plain,
    ( sdtlseqdt0(xp,X1)
    | sdtlseqdt0(X1,xp)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_105,plain,
    aNaturalNumber0(xq),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_90])]) ).

cnf(c_0_106,negated_conjecture,
    ~ sdtlseqdt0(xp,xq),
    i_0_67 ).

cnf(c_0_107,hypothesis,
    ( sdtasdt0(xl,X1) = sdtpldt0(xm,xn)
    | X1 != xq
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_93]),c_0_94]),c_0_91])]),c_0_92]) ).

cnf(c_0_108,plain,
    ( X1 = xp
    | sdtlseqdt0(sdtasdt0(xl,X1),xm)
    | ~ sdtlseqdt0(X1,xp)
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_91]),c_0_97])]),c_0_92]) ).

cnf(c_0_109,plain,
    sdtasdt0(xl,xq) = sdtpldt0(xm,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_99]),c_0_100]),c_0_90])]) ).

cnf(c_0_110,plain,
    sdtlseqdt0(xq,xp),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]) ).

cnf(c_0_111,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_6 ).

cnf(c_0_112,plain,
    ( sdtasdt0(xl,X1) = sdtpldt0(xm,xn)
    | X1 != xq ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_99]),c_0_100]),c_0_90])]) ).

cnf(c_0_113,plain,
    ( X1 = X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_33 ).

cnf(c_0_114,plain,
    ( xq = xp
    | sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_105])]),c_0_110])]) ).

cnf(c_0_115,hypothesis,
    sdtlseqdt0(xm,sdtpldt0(xm,xn)),
    i_0_66 ).

cnf(c_0_116,plain,
    aNaturalNumber0(sdtpldt0(xm,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_109]),c_0_105]),c_0_91])]) ).

cnf(c_0_117,hypothesis,
    ( sdtpldt0(xm,xn) = xm
    | xq != xp ),
    inference(spm,[status(thm)],[c_0_102,c_0_112]) ).

cnf(c_0_118,plain,
    sdtpldt0(xm,xn) = xm,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_116]),c_0_90])]),c_0_117]) ).

cnf(c_0_119,hypothesis,
    xq = xp,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_118]),c_0_88]) ).

cnf(c_0_120,hypothesis,
    sdtlseqdt0(xp,xp),
    inference(spm,[status(thm)],[c_0_104,c_0_97]) ).

cnf(c_0_121,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_119]),c_0_120])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM473+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul  5 02:37:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 16.48/3.32  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 16.48/3.32  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 17; version: 991; iters: 150)
% 16.48/3.32  # Preprocessing time       : 0.855 s
% 16.48/3.32  
% 16.48/3.32  # Proof found!
% 16.48/3.32  # SZS status Theorem
% 16.48/3.32  # SZS output start CNFRefutation
% See solution above
% 16.48/3.32  # Training examples: 0 positive, 0 negative
% 16.48/3.32  
% 16.48/3.32  # -------------------------------------------------
% 16.48/3.32  # User time                : 1.020 s
% 16.48/3.32  # System time              : 0.103 s
% 16.48/3.32  # Total time               : 1.123 s
% 16.48/3.32  # ...preprocessing         : 0.855 s
% 16.48/3.32  # ...main loop             : 0.267 s
% 16.48/3.32  # Maximum resident set size: 168928 pages
% 16.48/3.32  
%------------------------------------------------------------------------------