TSTP Solution File: NUM526+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM526+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 08:36:59 EDT 2022

% Result   : Theorem 14.27s 2.77s
% Output   : CNFRefutation 14.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   31
% Syntax   : Number of clauses     :   95 (  43 unt;  25 nHn;  95 RR)
%            Number of literals    :  267 (  91 equ; 157 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;   7 con; 0-2 aty)
%            Number of variables   :   99 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_6) ).

cnf(i_0_99,hypothesis,
    sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_99) ).

cnf(i_0_75,hypothesis,
    aNaturalNumber0(xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_75) ).

cnf(i_0_22,plain,
    ( X1 = X2
    | X3 = sz00
    | sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_22) ).

cnf(i_0_94,hypothesis,
    sdtasdt0(xp,esk7_0) = sdtasdt0(xn,xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_94) ).

cnf(i_0_95,hypothesis,
    aNaturalNumber0(esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_95) ).

cnf(i_0_72,hypothesis,
    sz00 != xp,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_72) ).

cnf(i_0_98,hypothesis,
    aNaturalNumber0(xq),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_98) ).

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-fip6688i/input.p',i_0_50) ).

cnf(i_0_85,hypothesis,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_85) ).

cnf(i_0_53,plain,
    ( X1 = sz00
    | X2 = sdtsldt0(X3,X1)
    | X3 != sdtasdt0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_53) ).

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-fip6688i/input.p',i_0_55) ).

cnf(i_0_12,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_12) ).

cnf(i_0_13,plain,
    ( sdtasdt0(sz10,X1) = X1
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_13) ).

cnf(i_0_4,plain,
    aNaturalNumber0(sz10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_4) ).

cnf(i_0_47,plain,
    ( X1 = sz00
    | sdtlseqdt0(X2,sdtasdt0(X2,X1))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_47) ).

cnf(i_0_11,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_11) ).

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-fip6688i/input.p',i_0_33) ).

cnf(i_0_34,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_34) ).

cnf(i_0_3,plain,
    sz00 != sz10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_3) ).

cnf(i_0_21,plain,
    ( X1 = X2
    | X3 = sz00
    | sdtasdt0(X1,X3) != sdtasdt0(X2,X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_21) ).

cnf(i_0_25,plain,
    ( X1 = sz00
    | X2 = sz00
    | sdtasdt0(X2,X1) != sz00
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_25) ).

cnf(i_0_76,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_76) ).

cnf(i_0_73,hypothesis,
    sz00 != xm,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_73) ).

cnf(i_0_89,hypothesis,
    xp != sz10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_89) ).

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-fip6688i/input.p',i_0_43) ).

cnf(i_0_100,negated_conjecture,
    ( xm = xn
    | ~ sdtlseqdt0(xm,xn) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_100) ).

cnf(i_0_35,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_35) ).

cnf(i_0_77,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_77) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | X3 = sz00
    | sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_41) ).

cnf(i_0_74,hypothesis,
    sz00 != xn,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fip6688i/input.p',i_0_74) ).

cnf(c_0_132,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_6 ).

cnf(c_0_133,hypothesis,
    sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
    i_0_99 ).

cnf(c_0_134,hypothesis,
    aNaturalNumber0(xp),
    i_0_75 ).

cnf(c_0_135,plain,
    ( X1 = X2
    | X3 = sz00
    | sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    i_0_22 ).

cnf(c_0_136,hypothesis,
    sdtasdt0(xp,esk7_0) = sdtasdt0(xn,xn),
    i_0_94 ).

cnf(c_0_137,hypothesis,
    aNaturalNumber0(esk7_0),
    i_0_95 ).

cnf(c_0_138,hypothesis,
    sz00 != xp,
    i_0_72 ).

cnf(c_0_139,plain,
    ( aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134])]) ).

cnf(c_0_140,hypothesis,
    aNaturalNumber0(xq),
    i_0_98 ).

cnf(c_0_141,plain,
    ( doDivides0(X1,X2)
    | X2 != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    i_0_50 ).

cnf(c_0_142,hypothesis,
    ( X1 = esk7_0
    | sdtasdt0(xp,X1) != sdtasdt0(xn,xn)
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_134]),c_0_137])]),c_0_138]) ).

cnf(c_0_143,hypothesis,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    i_0_85 ).

cnf(c_0_144,plain,
    aNaturalNumber0(sdtasdt0(xm,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_132]),c_0_140])]) ).

cnf(c_0_145,plain,
    ( X1 = sz00
    | X2 = sdtsldt0(X3,X1)
    | X3 != sdtasdt0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X1,X3) ),
    i_0_53 ).

cnf(c_0_146,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_141]),c_0_132]) ).

cnf(c_0_147,hypothesis,
    sdtasdt0(xm,xm) = esk7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144])]) ).

cnf(c_0_148,plain,
    ( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
    | X1 = sz00
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_145]),c_0_132]),c_0_146]) ).

cnf(c_0_149,hypothesis,
    sdtasdt0(xp,sdtasdt0(xq,xq)) = esk7_0,
    inference(rw,[status(thm)],[c_0_133,c_0_147]) ).

cnf(c_0_150,plain,
    ( X1 = sz00
    | aNaturalNumber0(X2)
    | X2 != sdtsldt0(X3,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ doDivides0(X1,X3) ),
    i_0_55 ).

cnf(c_0_151,hypothesis,
    ( sdtsldt0(esk7_0,xp) = sdtasdt0(xq,xq)
    | ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_134])]),c_0_138]) ).

cnf(c_0_152,plain,
    ( doDivides0(xp,esk7_0)
    | ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_149]),c_0_134])]) ).

cnf(c_0_153,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_12 ).

cnf(c_0_154,plain,
    ( sdtasdt0(sz10,X1) = X1
    | ~ aNaturalNumber0(X1) ),
    i_0_13 ).

cnf(c_0_155,plain,
    aNaturalNumber0(sz10),
    i_0_4 ).

cnf(c_0_156,plain,
    ( X1 = sz00
    | aNaturalNumber0(sdtsldt0(X2,X1))
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(er,[status(thm)],[c_0_150]) ).

cnf(c_0_157,plain,
    sdtsldt0(esk7_0,xp) = sdtasdt0(xq,xq),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_132]),c_0_140])]) ).

cnf(c_0_158,plain,
    doDivides0(xp,esk7_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_132]),c_0_140])]) ).

cnf(c_0_159,plain,
    ( X1 = sz00
    | sdtlseqdt0(X2,sdtasdt0(X2,X1))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_47 ).

cnf(c_0_160,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_11 ).

cnf(c_0_161,plain,
    ( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155])]) ).

cnf(c_0_162,plain,
    aNaturalNumber0(sdtasdt0(xq,xq)),
    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_156,c_0_157]),c_0_158]),c_0_137]),c_0_134])]),c_0_138]) ).

cnf(c_0_163,plain,
    ( X1 = X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_33 ).

cnf(c_0_164,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_34 ).

cnf(c_0_165,plain,
    ( X1 = sz00
    | sdtlseqdt0(X2,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_166,hypothesis,
    sdtasdt0(sz10,esk7_0) = esk7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_149]),c_0_162]),c_0_134])]) ).

cnf(c_0_167,plain,
    sz00 != sz10,
    i_0_3 ).

cnf(c_0_168,plain,
    ( X1 = X2
    | X3 = sz00
    | sdtasdt0(X1,X3) != sdtasdt0(X2,X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1) ),
    i_0_21 ).

cnf(c_0_169,plain,
    ( X1 = sz00
    | X2 = sz00
    | sdtasdt0(X2,X1) != sz00
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    i_0_25 ).

cnf(c_0_170,hypothesis,
    aNaturalNumber0(xm),
    i_0_76 ).

cnf(c_0_171,hypothesis,
    sz00 != xm,
    i_0_73 ).

cnf(c_0_172,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_173,plain,
    sdtlseqdt0(esk7_0,esk7_0),
    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_137]),c_0_155])]),c_0_167]) ).

cnf(c_0_174,plain,
    ( X1 = sz10
    | X2 = sz00
    | sdtasdt0(X1,X2) != X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_154]),c_0_155])]) ).

cnf(c_0_175,hypothesis,
    xp != sz10,
    i_0_89 ).

cnf(c_0_176,plain,
    esk7_0 != sz00,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_147]),c_0_170])]),c_0_171]) ).

cnf(c_0_177,plain,
    ( X1 = esk7_0
    | ~ sdtlseqdt0(esk7_0,X1)
    | ~ sdtlseqdt0(X1,esk7_0)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_137])]) ).

cnf(c_0_178,hypothesis,
    sdtlseqdt0(esk7_0,sdtasdt0(xn,xn)),
    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_136]),c_0_137]),c_0_134])]),c_0_138]) ).

cnf(c_0_179,hypothesis,
    aNaturalNumber0(sdtasdt0(xn,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_136]),c_0_137]),c_0_134])]) ).

cnf(c_0_180,hypothesis,
    sdtasdt0(xn,xn) != esk7_0,
    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_174,c_0_136]),c_0_137]),c_0_134])]),c_0_175]),c_0_176]) ).

cnf(c_0_181,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_182,negated_conjecture,
    ( xm = xn
    | ~ sdtlseqdt0(xm,xn) ),
    i_0_100 ).

cnf(c_0_183,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    i_0_35 ).

cnf(c_0_184,hypothesis,
    aNaturalNumber0(xn),
    i_0_77 ).

cnf(c_0_185,hypothesis,
    ~ sdtlseqdt0(sdtasdt0(xn,xn),esk7_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179])]),c_0_180]) ).

cnf(c_0_186,hypothesis,
    ( X1 = xm
    | sdtlseqdt0(sdtasdt0(xm,X1),esk7_0)
    | ~ sdtlseqdt0(X1,xm)
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_147]),c_0_170])]),c_0_171]) ).

cnf(c_0_187,negated_conjecture,
    ( xm = xn
    | sdtlseqdt0(xn,xm) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]),c_0_170])]) ).

cnf(c_0_188,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xn,xn),X1)
    | ~ sdtlseqdt0(X1,esk7_0)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_164]),c_0_137]),c_0_179])]) ).

cnf(c_0_189,negated_conjecture,
    ( xm = xn
    | sdtlseqdt0(sdtasdt0(xm,xn),esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_184])]) ).

cnf(c_0_190,plain,
    ( xm = xn
    | ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xn))
    | ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_191,plain,
    ( xm = xn
    | ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_132]),c_0_184]),c_0_170])]) ).

cnf(c_0_192,plain,
    ( X1 = X2
    | X3 = sz00
    | sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_41 ).

cnf(c_0_193,hypothesis,
    sz00 != xn,
    i_0_74 ).

cnf(c_0_194,plain,
    xm = xn,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_184]),c_0_170])]),c_0_193]),c_0_187]) ).

cnf(c_0_195,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_194]),c_0_194]),c_0_180]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM526+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 : Wed Jul  6 03:34:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 14.27/2.77  # ENIGMATIC: Solved by autoschedule:
% 14.27/2.77  # No SInE strategy applied
% 14.27/2.77  # Trying AutoSched0 for 150 seconds
% 14.27/2.77  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S080N
% 14.27/2.77  # and selection function SelectCQIArNXTEqFirst.
% 14.27/2.77  #
% 14.27/2.77  # Preprocessing time       : 0.025 s
% 14.27/2.77  # Presaturation interreduction done
% 14.27/2.77  
% 14.27/2.77  # Proof found!
% 14.27/2.77  # SZS status Theorem
% 14.27/2.77  # SZS output start CNFRefutation
% See solution above
% 14.27/2.77  # Training examples: 0 positive, 0 negative
% 14.27/2.77  
% 14.27/2.77  # -------------------------------------------------
% 14.27/2.77  # User time                : 0.614 s
% 14.27/2.77  # System time              : 0.024 s
% 14.27/2.77  # Total time               : 0.638 s
% 14.27/2.77  # Maximum resident set size: 7120 pages
% 14.27/2.77  
%------------------------------------------------------------------------------