TSTP Solution File: NUM476+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM476+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 08:36:25 EDT 2022

% Result   : Theorem 8.39s 2.34s
% Output   : CNFRefutation 8.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   92 (  23 unt;  38 nHn;  92 RR)
%            Number of literals    :  240 (  96 equ; 113 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   80 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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-tb0e7ebe/input.p',i_0_54) ).

cnf(i_0_62,hypothesis,
    doDivides0(xl,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_62) ).

cnf(i_0_59,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_59) ).

cnf(i_0_60,hypothesis,
    aNaturalNumber0(xl),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_60) ).

cnf(i_0_69,negated_conjecture,
    ( sz00 = xl
    | sdtsldt0(xm,xl) = esk3_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_69) ).

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-tb0e7ebe/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-tb0e7ebe/input.p',i_0_5) ).

cnf(i_0_65,negated_conjecture,
    ( sz00 = xl
    | sdtpldt0(sdtasdt0(xl,esk3_0),sdtasdt0(xl,esk5_0)) = sdtpldt0(sdtasdt0(xl,esk3_0),xn) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_65) ).

cnf(i_0_30,plain,
    ( sdtpldt0(X1,X2) = X3
    | X2 != sdtmndt0(X3,X1)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_30) ).

cnf(i_0_64,negated_conjecture,
    ( sz00 = xl
    | sdtasdt0(xl,esk5_0) = xn ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_64) ).

cnf(i_0_58,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_58) ).

cnf(i_0_29,plain,
    ( X1 = sdtmndt0(X2,X3)
    | sdtpldt0(X3,X1) != X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_29) ).

cnf(i_0_7,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_7) ).

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-tb0e7ebe/input.p',i_0_55) ).

cnf(i_0_61,hypothesis,
    doDivides0(xl,sdtpldt0(xm,xn)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_61) ).

cnf(i_0_31,plain,
    ( aNaturalNumber0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ sdtlseqdt0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_31) ).

cnf(i_0_68,negated_conjecture,
    ( sz00 = xl
    | sdtsldt0(sdtpldt0(xm,xn),xl) = esk4_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_68) ).

cnf(i_0_67,negated_conjecture,
    ( sz00 = xl
    | sdtlseqdt0(esk3_0,esk4_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_67) ).

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-tb0e7ebe/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-tb0e7ebe/input.p',i_0_6) ).

cnf(i_0_63,negated_conjecture,
    ~ doDivides0(xl,xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_63) ).

cnf(i_0_51,plain,
    ( sdtasdt0(X1,esk2_2(X1,X2)) = X2
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_51) ).

cnf(i_0_66,negated_conjecture,
    ( sz00 = xl
    | sdtmndt0(esk4_0,esk3_0) = esk5_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_66) ).

cnf(i_0_52,plain,
    ( aNaturalNumber0(esk2_2(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_52) ).

cnf(i_0_15,plain,
    ( sdtasdt0(sz00,X1) = sz00
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_15) ).

cnf(i_0_9,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tb0e7ebe/input.p',i_0_9) ).

cnf(c_0_96,plain,
    ( X1 = sz00
    | X2 = sdtasdt0(X1,X3)
    | X3 != sdtsldt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X1,X2) ),
    i_0_54 ).

cnf(c_0_97,plain,
    ( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
    | X1 = sz00
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(er,[status(thm)],[c_0_96]) ).

cnf(c_0_98,hypothesis,
    doDivides0(xl,xm),
    i_0_62 ).

cnf(c_0_99,hypothesis,
    aNaturalNumber0(xm),
    i_0_59 ).

cnf(c_0_100,hypothesis,
    aNaturalNumber0(xl),
    i_0_60 ).

cnf(c_0_101,hypothesis,
    ( sdtasdt0(xl,sdtsldt0(xm,xl)) = xm
    | xl = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_100])]) ).

cnf(c_0_102,negated_conjecture,
    ( sz00 = xl
    | sdtsldt0(xm,xl) = esk3_0 ),
    i_0_69 ).

cnf(c_0_103,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtpldt0(X1,X3) != X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    i_0_26 ).

cnf(c_0_104,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_5 ).

cnf(c_0_105,negated_conjecture,
    ( sz00 = xl
    | sdtpldt0(sdtasdt0(xl,esk3_0),sdtasdt0(xl,esk5_0)) = sdtpldt0(sdtasdt0(xl,esk3_0),xn) ),
    i_0_65 ).

cnf(c_0_106,negated_conjecture,
    ( sdtasdt0(xl,esk3_0) = xm
    | xl = sz00 ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_107,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_103]),c_0_104]) ).

cnf(c_0_108,negated_conjecture,
    ( sdtpldt0(xm,sdtasdt0(xl,esk5_0)) = sdtpldt0(xm,xn)
    | xl = sz00 ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_109,plain,
    ( sdtpldt0(X1,X2) = X3
    | X2 != sdtmndt0(X3,X1)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_30 ).

cnf(c_0_110,negated_conjecture,
    ( xl = sz00
    | sdtlseqdt0(xm,sdtpldt0(xm,xn))
    | ~ aNaturalNumber0(sdtasdt0(xl,esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_99])]) ).

cnf(c_0_111,negated_conjecture,
    ( sz00 = xl
    | sdtasdt0(xl,esk5_0) = xn ),
    i_0_64 ).

cnf(c_0_112,hypothesis,
    aNaturalNumber0(xn),
    i_0_58 ).

cnf(c_0_113,plain,
    ( X1 = sdtmndt0(X2,X3)
    | sdtpldt0(X3,X1) != X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X3,X2) ),
    i_0_29 ).

cnf(c_0_114,plain,
    ( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
    | ~ sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(er,[status(thm)],[c_0_109]) ).

cnf(c_0_115,negated_conjecture,
    ( xl = sz00
    | sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]) ).

cnf(c_0_116,plain,
    ( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_113]),c_0_104]),c_0_107]) ).

cnf(c_0_117,plain,
    ( sdtpldt0(xm,sdtmndt0(sdtpldt0(xm,xn),xm)) = sdtpldt0(xm,xn)
    | xl = sz00
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_99])]) ).

cnf(c_0_118,negated_conjecture,
    ( sdtmndt0(sdtpldt0(xm,xn),xm) = sdtasdt0(xl,esk5_0)
    | xl = sz00
    | ~ aNaturalNumber0(sdtasdt0(xl,esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_108]),c_0_99])]) ).

cnf(c_0_119,plain,
    ( sdtpldt0(xm,sdtmndt0(sdtpldt0(xm,xn),xm)) = sdtpldt0(xm,xn)
    | xl = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_104]),c_0_112]),c_0_99])]) ).

cnf(c_0_120,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_7 ).

cnf(c_0_121,negated_conjecture,
    ( sdtmndt0(sdtpldt0(xm,xn),xm) = xn
    | xl = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_111]),c_0_112])]) ).

cnf(c_0_122,plain,
    ( X1 = sz00
    | aNaturalNumber0(X2)
    | X2 != sdtsldt0(X3,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ doDivides0(X1,X3) ),
    i_0_55 ).

cnf(c_0_123,plain,
    ( sdtpldt0(xm,sdtmndt0(sdtpldt0(xn,xm),xm)) = sdtpldt0(xn,xm)
    | xl = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_99]),c_0_112])]) ).

cnf(c_0_124,plain,
    ( sdtmndt0(sdtpldt0(xn,xm),xm) = xn
    | xl = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_120]),c_0_99]),c_0_112])]) ).

cnf(c_0_125,plain,
    ( X1 = sz00
    | aNaturalNumber0(sdtsldt0(X2,X1))
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(er,[status(thm)],[c_0_122]) ).

cnf(c_0_126,hypothesis,
    doDivides0(xl,sdtpldt0(xm,xn)),
    i_0_61 ).

cnf(c_0_127,plain,
    ( sdtpldt0(xm,xn) = sdtpldt0(xn,xm)
    | xl = sz00 ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_128,plain,
    ( aNaturalNumber0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ sdtlseqdt0(X3,X2) ),
    i_0_31 ).

cnf(c_0_129,hypothesis,
    ( xl = sz00
    | aNaturalNumber0(sdtsldt0(xm,xl)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_98]),c_0_99]),c_0_100])]) ).

cnf(c_0_130,hypothesis,
    doDivides0(xl,sdtpldt0(xn,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_120]),c_0_99]),c_0_112])]) ).

cnf(c_0_131,plain,
    ( xl = sz00
    | aNaturalNumber0(sdtpldt0(xn,xm)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_127]),c_0_112]),c_0_99])]) ).

cnf(c_0_132,negated_conjecture,
    ( sz00 = xl
    | sdtsldt0(sdtpldt0(xm,xn),xl) = esk4_0 ),
    i_0_68 ).

cnf(c_0_133,plain,
    ( aNaturalNumber0(sdtmndt0(X1,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(er,[status(thm)],[c_0_128]) ).

cnf(c_0_134,negated_conjecture,
    ( sz00 = xl
    | sdtlseqdt0(esk3_0,esk4_0) ),
    i_0_67 ).

cnf(c_0_135,negated_conjecture,
    ( xl = sz00
    | aNaturalNumber0(esk3_0) ),
    inference(spm,[status(thm)],[c_0_129,c_0_102]) ).

cnf(c_0_136,hypothesis,
    ( xl = sz00
    | aNaturalNumber0(sdtsldt0(sdtpldt0(xn,xm),xl)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_130]),c_0_100])]),c_0_131]) ).

cnf(c_0_137,negated_conjecture,
    ( sdtsldt0(sdtpldt0(xn,xm),xl) = esk4_0
    | xl = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_120]),c_0_99]),c_0_112])]) ).

cnf(c_0_138,plain,
    ( doDivides0(X1,X2)
    | X2 != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    i_0_50 ).

cnf(c_0_139,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_6 ).

cnf(c_0_140,negated_conjecture,
    ( xl = sz00
    | aNaturalNumber0(sdtmndt0(esk4_0,esk3_0))
    | ~ aNaturalNumber0(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]) ).

cnf(c_0_141,negated_conjecture,
    ( xl = sz00
    | aNaturalNumber0(esk4_0) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_142,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_138]),c_0_139]) ).

cnf(c_0_143,negated_conjecture,
    ~ doDivides0(xl,xn),
    i_0_63 ).

cnf(c_0_144,plain,
    ( sdtasdt0(X1,esk2_2(X1,X2)) = X2
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X1,X2) ),
    i_0_51 ).

cnf(c_0_145,negated_conjecture,
    ( xl = sz00
    | aNaturalNumber0(sdtmndt0(esk4_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_146,negated_conjecture,
    ( sz00 = xl
    | sdtmndt0(esk4_0,esk3_0) = esk5_0 ),
    i_0_66 ).

cnf(c_0_147,negated_conjecture,
    ( xl = sz00
    | ~ aNaturalNumber0(esk5_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_111]),c_0_100])]),c_0_143]) ).

cnf(c_0_148,hypothesis,
    sdtasdt0(xl,esk2_2(xl,xm)) = xm,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_98]),c_0_99]),c_0_100])]) ).

cnf(c_0_149,negated_conjecture,
    xl = sz00,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]) ).

cnf(c_0_150,plain,
    ( aNaturalNumber0(esk2_2(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X2) ),
    i_0_52 ).

cnf(c_0_151,plain,
    ( sdtasdt0(sz00,X1) = sz00
    | ~ aNaturalNumber0(X1) ),
    i_0_15 ).

cnf(c_0_152,hypothesis,
    sdtasdt0(sz00,esk2_2(sz00,xm)) = xm,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149]),c_0_149]) ).

cnf(c_0_153,hypothesis,
    aNaturalNumber0(esk2_2(xl,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_98]),c_0_99]),c_0_100])]) ).

cnf(c_0_154,plain,
    ( xm = sz00
    | ~ aNaturalNumber0(esk2_2(sz00,xm)) ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_155,hypothesis,
    aNaturalNumber0(esk2_2(sz00,xm)),
    inference(rw,[status(thm)],[c_0_153,c_0_149]) ).

cnf(c_0_156,hypothesis,
    doDivides0(sz00,sdtpldt0(xm,xn)),
    inference(rw,[status(thm)],[c_0_126,c_0_149]) ).

cnf(c_0_157,plain,
    xm = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_155])]) ).

cnf(c_0_158,hypothesis,
    doDivides0(sz00,sdtpldt0(sz00,xn)),
    inference(rw,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_159,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aNaturalNumber0(X1) ),
    i_0_9 ).

cnf(c_0_160,negated_conjecture,
    ~ doDivides0(sz00,xn),
    inference(rw,[status(thm)],[c_0_143,c_0_149]) ).

cnf(c_0_161,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_112])]),c_0_160]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM476+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 : n024.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 12:31:46 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected complete mode:
% 8.39/2.34  # ENIGMATIC: Solved by autoschedule:
% 8.39/2.34  # No SInE strategy applied
% 8.39/2.34  # Trying AutoSched0 for 150 seconds
% 8.39/2.34  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 8.39/2.34  # and selection function SelectCQArNTNpEqFirst.
% 8.39/2.34  #
% 8.39/2.34  # Preprocessing time       : 0.024 s
% 8.39/2.34  # Presaturation interreduction done
% 8.39/2.34  
% 8.39/2.34  # Proof found!
% 8.39/2.34  # SZS status Theorem
% 8.39/2.34  # SZS output start CNFRefutation
% See solution above
% 8.39/2.34  # Training examples: 0 positive, 0 negative
% 8.39/2.34  
% 8.39/2.34  # -------------------------------------------------
% 8.39/2.34  # User time                : 0.074 s
% 8.39/2.34  # System time              : 0.010 s
% 8.39/2.34  # Total time               : 0.084 s
% 8.39/2.34  # Maximum resident set size: 7124 pages
% 8.39/2.34  
%------------------------------------------------------------------------------