TSTP Solution File: NUM483+1 by Enigma---0.5.1

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM483+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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 08:36:30 EDT 2022

% Result   : Theorem 14.19s 3.04s
% Output   : CNFRefutation 14.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   29
% Syntax   : Number of clauses     :   94 (  34 unt;  23 nHn;  94 RR)
%            Number of literals    :  267 (  78 equ; 147 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   89 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_74,hypothesis,
    ~ isPrime0(xk),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_74) ).

cnf(i_0_63,plain,
    ( X1 = sz00
    | X1 = sz10
    | isPrime0(X1)
    | doDivides0(esk3_1(X1),X1)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_63) ).

cnf(i_0_68,hypothesis,
    aNaturalNumber0(xk),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_68) ).

cnf(i_0_73,hypothesis,
    sz00 != xk,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_73) ).

cnf(i_0_72,hypothesis,
    xk != sz10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_72) ).

cnf(i_0_64,plain,
    ( X1 = sz00
    | X1 = sz10
    | isPrime0(X1)
    | aNaturalNumber0(esk3_1(X1))
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_64) ).

cnf(i_0_7,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_7) ).

cnf(i_0_49,plain,
    ( X1 = X2
    | iLess0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_49) ).

cnf(i_0_59,plain,
    ( X1 = sz00
    | sdtlseqdt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_59) ).

cnf(i_0_61,plain,
    ( X1 = sz00
    | X1 = sz10
    | isPrime0(X1)
    | esk3_1(X1) != X1
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_61) ).

cnf(i_0_4,plain,
    aNaturalNumber0(sz10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_4) ).

cnf(i_0_26,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtpldt0(X1,X3) != X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_26) ).

cnf(i_0_5,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_5) ).

cnf(i_0_62,plain,
    ( X1 = sz00
    | X1 = sz10
    | isPrime0(X1)
    | esk3_1(X1) != sz10
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_62) ).

cnf(i_0_20,plain,
    ( X1 = X2
    | sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_20) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_10) ).

cnf(i_0_56,plain,
    ( doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X3,X2)
    | ~ doDivides0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_56) ).

cnf(i_0_70,hypothesis,
    ( X1 = sz00
    | X1 = sz10
    | doDivides0(esk4_1(X1),X1)
    | ~ aNaturalNumber0(X1)
    | ~ iLess0(X1,xk) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_70) ).

cnf(i_0_71,hypothesis,
    ( X1 = sz00
    | X1 = sz10
    | aNaturalNumber0(esk4_1(X1))
    | ~ aNaturalNumber0(X1)
    | ~ iLess0(X1,xk) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_71) ).

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-s3rt_0r9/input.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-s3rt_0r9/input.p',i_0_6) ).

cnf(i_0_14,plain,
    ( sdtasdt0(X1,sz10) = X1
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_14) ).

cnf(i_0_2,plain,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_2) ).

cnf(i_0_69,hypothesis,
    ( X1 = sz00
    | X1 = sz10
    | isPrime0(esk4_1(X1))
    | ~ aNaturalNumber0(X1)
    | ~ iLess0(X1,xk) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_69) ).

cnf(i_0_3,plain,
    sz00 != sz10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_3) ).

cnf(i_0_58,plain,
    ( doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X3)
    | ~ doDivides0(X1,sdtpldt0(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_58) ).

cnf(i_0_75,negated_conjecture,
    ( ~ aNaturalNumber0(X1)
    | ~ isPrime0(X1)
    | ~ doDivides0(X1,xk) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_75) ).

cnf(i_0_16,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s3rt_0r9/input.p',i_0_16) ).

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-s3rt_0r9/input.p',i_0_33) ).

cnf(c_0_105,hypothesis,
    ~ isPrime0(xk),
    i_0_74 ).

cnf(c_0_106,plain,
    ( X1 = sz00
    | X1 = sz10
    | isPrime0(X1)
    | doDivides0(esk3_1(X1),X1)
    | ~ aNaturalNumber0(X1) ),
    i_0_63 ).

cnf(c_0_107,hypothesis,
    aNaturalNumber0(xk),
    i_0_68 ).

cnf(c_0_108,hypothesis,
    sz00 != xk,
    i_0_73 ).

cnf(c_0_109,hypothesis,
    xk != sz10,
    i_0_72 ).

cnf(c_0_110,plain,
    ( X1 = sz00
    | X1 = sz10
    | isPrime0(X1)
    | aNaturalNumber0(esk3_1(X1))
    | ~ aNaturalNumber0(X1) ),
    i_0_64 ).

cnf(c_0_111,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_7 ).

cnf(c_0_112,plain,
    ( X1 = X2
    | iLess0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_49 ).

cnf(c_0_113,plain,
    ( X1 = sz00
    | sdtlseqdt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1) ),
    i_0_59 ).

cnf(c_0_114,hypothesis,
    doDivides0(esk3_1(xk),xk),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107])]),c_0_108]),c_0_109]) ).

cnf(c_0_115,hypothesis,
    aNaturalNumber0(esk3_1(xk)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_110]),c_0_107])]),c_0_108]),c_0_109]) ).

cnf(c_0_116,plain,
    ( X1 = sz00
    | X1 = sz10
    | isPrime0(X1)
    | esk3_1(X1) != X1
    | ~ aNaturalNumber0(X1) ),
    i_0_61 ).

cnf(c_0_117,hypothesis,
    ( sdtpldt0(X1,xk) = sdtpldt0(xk,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_107]) ).

cnf(c_0_118,plain,
    aNaturalNumber0(sz10),
    i_0_4 ).

cnf(c_0_119,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtpldt0(X1,X3) != X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    i_0_26 ).

cnf(c_0_120,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_5 ).

cnf(c_0_121,hypothesis,
    ( X1 = xk
    | iLess0(X1,xk)
    | ~ sdtlseqdt0(X1,xk)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_107]) ).

cnf(c_0_122,plain,
    sdtlseqdt0(esk3_1(xk),xk),
    inference(sr,[status(thm)],[inference(cn,[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_107])]),c_0_108]) ).

cnf(c_0_123,hypothesis,
    esk3_1(xk) != xk,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_116]),c_0_107])]),c_0_108]),c_0_109]) ).

cnf(c_0_124,plain,
    ( X1 = sz00
    | X1 = sz10
    | isPrime0(X1)
    | esk3_1(X1) != sz10
    | ~ aNaturalNumber0(X1) ),
    i_0_62 ).

cnf(c_0_125,plain,
    sdtpldt0(xk,sz10) = sdtpldt0(sz10,xk),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_126,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_119]),c_0_120]) ).

cnf(c_0_127,plain,
    ( X1 = X2
    | sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    i_0_20 ).

cnf(c_0_128,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    i_0_10 ).

cnf(c_0_129,plain,
    ( doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X3,X2)
    | ~ doDivides0(X1,X3) ),
    i_0_56 ).

cnf(c_0_130,hypothesis,
    ( X1 = sz00
    | X1 = sz10
    | doDivides0(esk4_1(X1),X1)
    | ~ aNaturalNumber0(X1)
    | ~ iLess0(X1,xk) ),
    i_0_70 ).

cnf(c_0_131,hypothesis,
    iLess0(esk3_1(xk),xk),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_115]),c_0_122])]),c_0_123]) ).

cnf(c_0_132,hypothesis,
    esk3_1(xk) != sz10,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_124]),c_0_107])]),c_0_108]),c_0_109]) ).

cnf(c_0_133,hypothesis,
    ( X1 = sz00
    | X1 = sz10
    | aNaturalNumber0(esk4_1(X1))
    | ~ aNaturalNumber0(X1)
    | ~ iLess0(X1,xk) ),
    i_0_71 ).

cnf(c_0_134,plain,
    ( doDivides0(X1,X2)
    | X2 != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    i_0_50 ).

cnf(c_0_135,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_6 ).

cnf(c_0_136,plain,
    ( sdtasdt0(X1,sz10) = X1
    | ~ aNaturalNumber0(X1) ),
    i_0_14 ).

cnf(c_0_137,plain,
    aNaturalNumber0(sdtpldt0(sz10,xk)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_125]),c_0_118]),c_0_107])]) ).

cnf(c_0_138,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X1,sz10))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_118]) ).

cnf(c_0_139,hypothesis,
    ( X1 = X2
    | sdtpldt0(xk,X1) != sdtpldt0(xk,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_107]) ).

cnf(c_0_140,plain,
    aNaturalNumber0(sz00),
    i_0_2 ).

cnf(c_0_141,hypothesis,
    sdtpldt0(xk,sz00) = xk,
    inference(spm,[status(thm)],[c_0_128,c_0_107]) ).

cnf(c_0_142,plain,
    ( doDivides0(X1,xk)
    | ~ doDivides0(X1,esk3_1(xk))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_114]),c_0_115]),c_0_107])]) ).

cnf(c_0_143,hypothesis,
    ( esk3_1(xk) = sz00
    | doDivides0(esk4_1(esk3_1(xk)),esk3_1(xk)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_115])]),c_0_132]) ).

cnf(c_0_144,hypothesis,
    ( esk3_1(xk) = sz00
    | aNaturalNumber0(esk4_1(esk3_1(xk))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_131]),c_0_115])]),c_0_132]) ).

cnf(c_0_145,hypothesis,
    ( X1 = sz00
    | X1 = sz10
    | isPrime0(esk4_1(X1))
    | ~ aNaturalNumber0(X1)
    | ~ iLess0(X1,xk) ),
    i_0_69 ).

cnf(c_0_146,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_134]),c_0_135]) ).

cnf(c_0_147,plain,
    sdtasdt0(sdtpldt0(sz10,xk),sz10) = sdtpldt0(sz10,xk),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_148,hypothesis,
    sdtlseqdt0(xk,sdtpldt0(xk,sz10)),
    inference(spm,[status(thm)],[c_0_138,c_0_107]) ).

cnf(c_0_149,plain,
    ( X1 = sz00
    | sdtpldt0(xk,X1) != xk
    | ~ aNaturalNumber0(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).

cnf(c_0_150,plain,
    sz00 != sz10,
    i_0_3 ).

cnf(c_0_151,plain,
    ( doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X3)
    | ~ doDivides0(X1,sdtpldt0(X3,X2)) ),
    i_0_58 ).

cnf(c_0_152,negated_conjecture,
    ( ~ aNaturalNumber0(X1)
    | ~ isPrime0(X1)
    | ~ doDivides0(X1,xk) ),
    i_0_75 ).

cnf(c_0_153,plain,
    ( esk3_1(xk) = sz00
    | doDivides0(esk4_1(esk3_1(xk)),xk) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]) ).

cnf(c_0_154,hypothesis,
    ( esk3_1(xk) = sz00
    | isPrime0(esk4_1(esk3_1(xk))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_131]),c_0_115])]),c_0_132]) ).

cnf(c_0_155,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aNaturalNumber0(X1) ),
    i_0_16 ).

cnf(c_0_156,plain,
    doDivides0(sdtpldt0(sz10,xk),sdtpldt0(sz10,xk)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_118]),c_0_137])]) ).

cnf(c_0_157,plain,
    ( X1 = X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_33 ).

cnf(c_0_158,hypothesis,
    sdtlseqdt0(xk,sdtpldt0(sz10,xk)),
    inference(rw,[status(thm)],[c_0_148,c_0_125]) ).

cnf(c_0_159,plain,
    sdtpldt0(sz10,xk) != xk,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_125]),c_0_118])]),c_0_150]) ).

cnf(c_0_160,plain,
    ( doDivides0(X1,sz10)
    | ~ doDivides0(X1,sdtpldt0(sz10,xk))
    | ~ doDivides0(X1,xk)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_125]),c_0_107]),c_0_118])]) ).

cnf(c_0_161,negated_conjecture,
    esk3_1(xk) = sz00,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_144]),c_0_154]) ).

cnf(c_0_162,plain,
    sdtasdt0(sdtpldt0(sz10,xk),sz00) = sz00,
    inference(spm,[status(thm)],[c_0_155,c_0_137]) ).

cnf(c_0_163,plain,
    ( doDivides0(sdtpldt0(sz10,xk),xk)
    | ~ doDivides0(sdtpldt0(sz10,xk),sz10) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_156]),c_0_118]),c_0_107]),c_0_137])]) ).

cnf(c_0_164,plain,
    ~ sdtlseqdt0(sdtpldt0(sz10,xk),xk),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_107]),c_0_137])]),c_0_159]) ).

cnf(c_0_165,plain,
    ( doDivides0(sdtpldt0(sz10,xk),sz10)
    | ~ doDivides0(sdtpldt0(sz10,xk),xk) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_156]),c_0_137])]) ).

cnf(c_0_166,plain,
    ( doDivides0(X1,xk)
    | ~ doDivides0(X1,sz00)
    | ~ aNaturalNumber0(X1) ),
    inference(rw,[status(thm)],[c_0_142,c_0_161]) ).

cnf(c_0_167,plain,
    doDivides0(sdtpldt0(sz10,xk),sz00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_162]),c_0_140]),c_0_137])]) ).

cnf(c_0_168,plain,
    ~ doDivides0(sdtpldt0(sz10,xk),sz10),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_163]),c_0_137]),c_0_107])]),c_0_108]),c_0_164]) ).

cnf(c_0_169,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]),c_0_137])]),c_0_168]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM483+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n003.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 08:07:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 14.19/3.04  # ENIGMATIC: Solved by autoschedule:
% 14.19/3.04  # No SInE strategy applied
% 14.19/3.04  # Trying AutoSched0 for 150 seconds
% 14.19/3.04  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
% 14.19/3.04  # and selection function SelectMaxLComplexAvoidPosPred.
% 14.19/3.04  #
% 14.19/3.04  # Preprocessing time       : 0.025 s
% 14.19/3.04  # Presaturation interreduction done
% 14.19/3.04  
% 14.19/3.04  # Proof found!
% 14.19/3.04  # SZS status Theorem
% 14.19/3.04  # SZS output start CNFRefutation
% See solution above
% 14.19/3.04  # Training examples: 0 positive, 0 negative
% 14.19/3.04  
% 14.19/3.04  # -------------------------------------------------
% 14.19/3.04  # User time                : 0.781 s
% 14.19/3.04  # System time              : 0.044 s
% 14.19/3.04  # Total time               : 0.825 s
% 14.19/3.04  # Maximum resident set size: 7124 pages
% 14.19/3.04  
%------------------------------------------------------------------------------