TSTP Solution File: NUM527+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM527+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 11.98s 2.96s
% Output   : CNFRefutation 11.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   32
% Syntax   : Number of clauses     :   97 (  47 unt;  21 nHn;  97 RR)
%            Number of literals    :  245 (  81 equ; 135 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   89 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.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-ipcm2z8g/lgb.p',i_0_99) ).

cnf(i_0_75,hypothesis,
    aNaturalNumber0(xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.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-ipcm2z8g/lgb.p',i_0_22) ).

cnf(i_0_94,hypothesis,
    sdtasdt0(xp,esk7_0) = sdtasdt0(xn,xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_94) ).

cnf(i_0_95,hypothesis,
    aNaturalNumber0(esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_95) ).

cnf(i_0_72,hypothesis,
    sz00 != xp,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_72) ).

cnf(i_0_98,hypothesis,
    aNaturalNumber0(xq),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_98) ).

cnf(i_0_85,hypothesis,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_85) ).

cnf(i_0_100,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.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-ipcm2z8g/lgb.p',i_0_35) ).

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-ipcm2z8g/lgb.p',i_0_43) ).

cnf(i_0_102,negated_conjecture,
    sdtlseqdt0(xn,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_102) ).

cnf(i_0_76,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_76) ).

cnf(i_0_77,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_77) ).

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-ipcm2z8g/lgb.p',i_0_34) ).

cnf(i_0_73,hypothesis,
    sz00 != xm,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_73) ).

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-ipcm2z8g/lgb.p',i_0_50) ).

cnf(i_0_11,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_11) ).

cnf(i_0_97,hypothesis,
    sdtasdt0(xp,xq) = xn,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_97) ).

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-ipcm2z8g/lgb.p',i_0_33) ).

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-ipcm2z8g/lgb.p',i_0_53) ).

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-ipcm2z8g/lgb.p',i_0_12) ).

cnf(i_0_13,plain,
    ( sdtasdt0(sz10,X1) = X1
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_13) ).

cnf(i_0_4,plain,
    aNaturalNumber0(sz10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_4) ).

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-ipcm2z8g/lgb.p',i_0_51) ).

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-ipcm2z8g/lgb.p',i_0_52) ).

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-ipcm2z8g/lgb.p',i_0_41) ).

cnf(i_0_101,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xn,xn),X1) != sdtasdt0(xm,xm)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_101) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_10) ).

cnf(i_0_2,plain,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_2) ).

cnf(i_0_74,hypothesis,
    sz00 != xn,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ipcm2z8g/lgb.p',i_0_74) ).

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

cnf(c_0_136,hypothesis,
    sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xm,xm),
    i_0_99 ).

cnf(c_0_137,hypothesis,
    aNaturalNumber0(xp),
    i_0_75 ).

cnf(c_0_138,plain,
    ( X1 = X2
    | X3 = sz00
    | sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    i_0_22 ).

cnf(c_0_139,hypothesis,
    sdtasdt0(xp,esk7_0) = sdtasdt0(xn,xn),
    i_0_94 ).

cnf(c_0_140,hypothesis,
    aNaturalNumber0(esk7_0),
    i_0_95 ).

cnf(c_0_141,hypothesis,
    sz00 != xp,
    i_0_72 ).

cnf(c_0_142,plain,
    ( aNaturalNumber0(sdtasdt0(xm,xm))
    | ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137])]) ).

cnf(c_0_143,hypothesis,
    aNaturalNumber0(xq),
    i_0_98 ).

cnf(c_0_144,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_138,c_0_139]),c_0_137]),c_0_140])]),c_0_141]) ).

cnf(c_0_145,hypothesis,
    sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
    i_0_85 ).

cnf(c_0_146,plain,
    aNaturalNumber0(sdtasdt0(xm,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_135]),c_0_143])]) ).

cnf(c_0_147,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
    i_0_100 ).

cnf(c_0_148,hypothesis,
    sdtasdt0(xm,xm) = esk7_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146])]) ).

cnf(c_0_149,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(xn,xn),esk7_0),
    inference(rw,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_150,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    i_0_35 ).

cnf(c_0_151,hypothesis,
    aNaturalNumber0(sdtasdt0(xn,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_139]),c_0_140]),c_0_137])]) ).

cnf(c_0_152,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_153,negated_conjecture,
    sdtlseqdt0(xn,xm),
    i_0_102 ).

cnf(c_0_154,hypothesis,
    aNaturalNumber0(xm),
    i_0_76 ).

cnf(c_0_155,hypothesis,
    aNaturalNumber0(xn),
    i_0_77 ).

cnf(c_0_156,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_34 ).

cnf(c_0_157,plain,
    sdtlseqdt0(esk7_0,sdtasdt0(xn,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_140])]) ).

cnf(c_0_158,negated_conjecture,
    ( xm = xn
    | X1 = sz00
    | sdtlseqdt0(sdtasdt0(X1,xn),sdtasdt0(X1,xm))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]),c_0_155])]) ).

cnf(c_0_159,hypothesis,
    sz00 != xm,
    i_0_73 ).

cnf(c_0_160,plain,
    ( doDivides0(X1,X2)
    | X2 != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    i_0_50 ).

cnf(c_0_161,plain,
    ( sdtlseqdt0(X1,sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_140]),c_0_151])]) ).

cnf(c_0_162,hypothesis,
    ( xm = xn
    | sdtlseqdt0(sdtasdt0(xm,xn),esk7_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_148]),c_0_154])]),c_0_159]) ).

cnf(c_0_163,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_160]),c_0_135]) ).

cnf(c_0_164,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_11 ).

cnf(c_0_165,hypothesis,
    ( xm = xn
    | sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,xn))
    | ~ aNaturalNumber0(sdtasdt0(xm,xn)) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_166,plain,
    ( doDivides0(X1,sdtasdt0(X2,X1))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_167,hypothesis,
    sdtasdt0(xp,xq) = xn,
    i_0_97 ).

cnf(c_0_168,plain,
    ( X1 = X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_33 ).

cnf(c_0_169,plain,
    ( xm = xn
    | sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xn,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_135]),c_0_155]),c_0_154])]) ).

cnf(c_0_170,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_171,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_12 ).

cnf(c_0_172,plain,
    ( sdtasdt0(sz10,X1) = X1
    | ~ aNaturalNumber0(X1) ),
    i_0_13 ).

cnf(c_0_173,plain,
    aNaturalNumber0(sz10),
    i_0_4 ).

cnf(c_0_174,plain,
    ( sdtasdt0(X1,esk2_2(X1,X2)) = X2
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X1,X2) ),
    i_0_51 ).

cnf(c_0_175,hypothesis,
    doDivides0(xq,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_137]),c_0_143])]) ).

cnf(c_0_176,plain,
    ( aNaturalNumber0(esk2_2(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X2) ),
    i_0_52 ).

cnf(c_0_177,plain,
    ( sdtasdt0(xm,xn) = sdtasdt0(xn,xn)
    | xm = xn
    | ~ aNaturalNumber0(sdtasdt0(xm,xn))
    | ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_151])]) ).

cnf(c_0_178,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_179,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_170]),c_0_135]),c_0_163]) ).

cnf(c_0_180,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_171,c_0_172]),c_0_173])]) ).

cnf(c_0_181,plain,
    sdtasdt0(xq,esk2_2(xq,xn)) = xn,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_155]),c_0_143])]) ).

cnf(c_0_182,plain,
    aNaturalNumber0(esk2_2(xq,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_175]),c_0_155]),c_0_143])]) ).

cnf(c_0_183,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xn,xn),X1) != sdtasdt0(xm,xm)
    | ~ aNaturalNumber0(X1) ),
    i_0_101 ).

cnf(c_0_184,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    i_0_10 ).

cnf(c_0_185,plain,
    aNaturalNumber0(sz00),
    i_0_2 ).

cnf(c_0_186,plain,
    ( sdtasdt0(xm,xn) = sdtasdt0(xn,xn)
    | 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_177,c_0_135]),c_0_155]),c_0_154])]) ).

cnf(c_0_187,negated_conjecture,
    ( xm = xn
    | X1 = sz00
    | sdtlseqdt0(sdtasdt0(xn,X1),sdtasdt0(xm,X1))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_153]),c_0_154]),c_0_155])]) ).

cnf(c_0_188,hypothesis,
    sz00 != xn,
    i_0_74 ).

cnf(c_0_189,plain,
    ( sdtsldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),sdtasdt0(X1,X2)) = X3
    | sdtasdt0(X1,X2) = sz00
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_171]),c_0_135]) ).

cnf(c_0_190,hypothesis,
    sdtasdt0(sz10,sdtasdt0(xn,xn)) = sdtasdt0(xn,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_139]),c_0_140]),c_0_137])]) ).

cnf(c_0_191,plain,
    sdtasdt0(sz10,xn) = xn,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]),c_0_143])]) ).

cnf(c_0_192,negated_conjecture,
    ( sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
    | ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185])]) ).

cnf(c_0_193,plain,
    ( sdtsldt0(sdtasdt0(X1,X2),X2) = X1
    | X2 = sz00
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(spm,[status(thm)],[c_0_179,c_0_164]) ).

cnf(c_0_194,negated_conjecture,
    ( sdtasdt0(xm,xn) = sdtasdt0(xn,xn)
    | xm = xn ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_155])]),c_0_188]) ).

cnf(c_0_195,plain,
    sdtsldt0(sdtasdt0(xn,xn),xn) = xn,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]),c_0_191]),c_0_155]),c_0_173])]),c_0_188]) ).

cnf(c_0_196,negated_conjecture,
    sdtasdt0(xm,xm) != sdtasdt0(xn,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_151])]) ).

cnf(c_0_197,plain,
    xm = xn,
    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_193,c_0_194]),c_0_195]),c_0_154]),c_0_155])]),c_0_188]) ).

cnf(c_0_198,negated_conjecture,
    sdtasdt0(xn,xn) != esk7_0,
    inference(rw,[status(thm)],[c_0_196,c_0_148]) ).

cnf(c_0_199,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_197]),c_0_197]),c_0_198]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : NUM527+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jul  5 11:16:46 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.22/0.46  # ENIGMATIC: Selected complete mode:
% 11.98/2.96  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.98/2.96  # No SInE strategy applied
% 11.98/2.96  # Trying AutoSched0 for 150 seconds
% 11.98/2.96  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 11.98/2.96  # and selection function SelectNewComplexAHP.
% 11.98/2.96  #
% 11.98/2.96  # Preprocessing time       : 0.025 s
% 11.98/2.96  # Presaturation interreduction done
% 11.98/2.96  
% 11.98/2.96  # Proof found!
% 11.98/2.96  # SZS status Theorem
% 11.98/2.96  # SZS output start CNFRefutation
% See solution above
% 11.98/2.96  # Training examples: 0 positive, 0 negative
% 11.98/2.96  
% 11.98/2.96  # -------------------------------------------------
% 11.98/2.96  # User time                : 0.488 s
% 11.98/2.96  # System time              : 0.025 s
% 11.98/2.96  # Total time               : 0.513 s
% 11.98/2.96  # Maximum resident set size: 7124 pages
% 11.98/2.96  
%------------------------------------------------------------------------------