TSTP Solution File: NUM494+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM494+1 : 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 08:36:37 EDT 2022

% Result   : Theorem 7.59s 2.45s
% Output   : CNFRefutation 7.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   89 (  35 unt;   2 nHn;  89 RR)
%            Number of literals    :  228 (  64 equ; 139 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   96 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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-232mw8vp/lgb.p',i_0_31) ).

cnf(i_0_77,hypothesis,
    sdtlseqdt0(xp,xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_77) ).

cnf(i_0_78,hypothesis,
    sdtmndt0(xn,xp) = xr,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_78) ).

cnf(i_0_71,hypothesis,
    aNaturalNumber0(xp),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_71) ).

cnf(i_0_73,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_73) ).

cnf(i_0_39,plain,
    ( X1 = X2
    | sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ sdtlseqdt0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_39) ).

cnf(i_0_79,hypothesis,
    sdtlseqdt0(xr,xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_79) ).

cnf(i_0_80,hypothesis,
    xr != xn,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_80) ).

cnf(i_0_9,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_9) ).

cnf(i_0_2,plain,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_2) ).

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-232mw8vp/lgb.p',i_0_34) ).

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-232mw8vp/lgb.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-232mw8vp/lgb.p',i_0_5) ).

cnf(i_0_27,plain,
    ( sdtpldt0(X1,esk1_2(X1,X2)) = X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_27) ).

cnf(i_0_28,plain,
    ( aNaturalNumber0(esk1_2(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_28) ).

cnf(i_0_7,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_7) ).

cnf(i_0_19,plain,
    ( X1 = X2
    | sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_19) ).

cnf(i_0_82,negated_conjecture,
    ( sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
    | ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_82) ).

cnf(i_0_72,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_72) ).

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-232mw8vp/lgb.p',i_0_30) ).

cnf(i_0_8,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_8) ).

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-232mw8vp/lgb.p',i_0_20) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-232mw8vp/lgb.p',i_0_10) ).

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-232mw8vp/lgb.p',i_0_29) ).

cnf(c_0_107,plain,
    ( aNaturalNumber0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ sdtlseqdt0(X3,X2) ),
    i_0_31 ).

cnf(c_0_108,plain,
    ( aNaturalNumber0(sdtmndt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X2,X1) ),
    inference(er,[status(thm)],[c_0_107]) ).

cnf(c_0_109,hypothesis,
    sdtlseqdt0(xp,xn),
    i_0_77 ).

cnf(c_0_110,hypothesis,
    sdtmndt0(xn,xp) = xr,
    i_0_78 ).

cnf(c_0_111,hypothesis,
    aNaturalNumber0(xp),
    i_0_71 ).

cnf(c_0_112,hypothesis,
    aNaturalNumber0(xn),
    i_0_73 ).

cnf(c_0_113,plain,
    ( X1 = X2
    | sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_39 ).

cnf(c_0_114,hypothesis,
    sdtlseqdt0(xr,xn),
    i_0_79 ).

cnf(c_0_115,hypothesis,
    aNaturalNumber0(xr),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_111]),c_0_112])]) ).

cnf(c_0_116,hypothesis,
    xr != xn,
    i_0_80 ).

cnf(c_0_117,hypothesis,
    ( sdtlseqdt0(sdtpldt0(X1,xr),sdtpldt0(X1,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_113,c_0_114]),c_0_112]),c_0_115])]),c_0_116]) ).

cnf(c_0_118,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aNaturalNumber0(X1) ),
    i_0_9 ).

cnf(c_0_119,plain,
    aNaturalNumber0(sz00),
    i_0_2 ).

cnf(c_0_120,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_34 ).

cnf(c_0_121,plain,
    sdtlseqdt0(sdtpldt0(sz00,xr),xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_112])]) ).

cnf(c_0_122,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtpldt0(X1,X3) != X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    i_0_26 ).

cnf(c_0_123,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_5 ).

cnf(c_0_124,plain,
    ( sdtlseqdt0(X1,xn)
    | ~ aNaturalNumber0(sdtpldt0(sz00,xr))
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,sdtpldt0(sz00,xr)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_112])]) ).

cnf(c_0_125,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_122]),c_0_123]) ).

cnf(c_0_126,plain,
    ( sdtlseqdt0(X1,xn)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,xr) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_118]),c_0_115])]) ).

cnf(c_0_127,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_118]),c_0_119])]) ).

cnf(c_0_128,plain,
    ( sdtpldt0(X1,esk1_2(X1,X2)) = X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_27 ).

cnf(c_0_129,plain,
    sdtlseqdt0(sz00,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_119]),c_0_115])]) ).

cnf(c_0_130,plain,
    ( aNaturalNumber0(esk1_2(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_28 ).

cnf(c_0_131,plain,
    sdtpldt0(sz00,esk1_2(sz00,xn)) = xn,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_112]),c_0_119])]) ).

cnf(c_0_132,plain,
    aNaturalNumber0(esk1_2(sz00,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_129]),c_0_112]),c_0_119])]) ).

cnf(c_0_133,plain,
    esk1_2(sz00,xn) = xn,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_131]),c_0_132])]) ).

cnf(c_0_134,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_7 ).

cnf(c_0_135,plain,
    ( X1 = X2
    | sdtpldt0(X1,X3) != sdtpldt0(X2,X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1) ),
    i_0_19 ).

cnf(c_0_136,plain,
    sdtpldt0(sz00,xn) = xn,
    inference(rw,[status(thm)],[c_0_131,c_0_133]) ).

cnf(c_0_137,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X2,X1))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_125,c_0_134]) ).

cnf(c_0_138,negated_conjecture,
    ( sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp)
    | ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    i_0_82 ).

cnf(c_0_139,hypothesis,
    aNaturalNumber0(xm),
    i_0_72 ).

cnf(c_0_140,plain,
    ( sz00 = X1
    | sdtpldt0(X1,xn) != xn
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_112]),c_0_119])]) ).

cnf(c_0_141,plain,
    sdtlseqdt0(xn,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_136]),c_0_119]),c_0_112])]) ).

cnf(c_0_142,negated_conjecture,
    ( sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(sdtpldt0(xm,xn),xp)
    | ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xm,xn),xp)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_134]),c_0_112]),c_0_139])]) ).

cnf(c_0_143,plain,
    ( sdtpldt0(X1,X2) = X3
    | X2 != sdtmndt0(X3,X1)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_30 ).

cnf(c_0_144,plain,
    ( sz00 = X1
    | sdtpldt0(xn,X1) != xn
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_134]),c_0_112])]) ).

cnf(c_0_145,plain,
    sdtpldt0(xn,esk1_2(xn,xn)) = xn,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_141]),c_0_112])]) ).

cnf(c_0_146,plain,
    aNaturalNumber0(esk1_2(xn,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_141]),c_0_112])]) ).

cnf(c_0_147,plain,
    ( sdtpldt0(sdtpldt0(xm,xr),xp) = sdtpldt0(sdtpldt0(xm,xn),xp)
    | ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xm,xr),xp),sdtpldt0(sdtpldt0(xm,xn),xp)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_134]),c_0_139]),c_0_115])]) ).

cnf(c_0_148,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_8 ).

cnf(c_0_149,plain,
    ( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X2) ),
    inference(er,[status(thm)],[c_0_143]) ).

cnf(c_0_150,plain,
    esk1_2(xn,xn) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146])]) ).

cnf(c_0_151,plain,
    ( sdtpldt0(sdtpldt0(xm,xn),xp) = sdtpldt0(xm,sdtpldt0(xr,xp))
    | ~ sdtlseqdt0(sdtpldt0(xm,sdtpldt0(xr,xp)),sdtpldt0(sdtpldt0(xm,xn),xp)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_111]),c_0_115]),c_0_139])]) ).

cnf(c_0_152,hypothesis,
    sdtpldt0(xp,xr) = xn,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_109]),c_0_110]),c_0_112]),c_0_111])]) ).

cnf(c_0_153,plain,
    sdtpldt0(xn,sz00) = xn,
    inference(rw,[status(thm)],[c_0_145,c_0_150]) ).

cnf(c_0_154,plain,
    ( sdtpldt0(sdtpldt0(xm,xn),xp) = sdtpldt0(xm,xn)
    | ~ sdtlseqdt0(sdtpldt0(xm,xn),sdtpldt0(sdtpldt0(xm,xn),xp)) ),
    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_151,c_0_134]),c_0_152]),c_0_152]),c_0_111]),c_0_115])]) ).

cnf(c_0_155,plain,
    ( sdtpldt0(xn,sdtpldt0(sz00,X1)) = sdtpldt0(xn,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_153]),c_0_119]),c_0_112])]) ).

cnf(c_0_156,plain,
    ( X1 = X2
    | sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    i_0_20 ).

cnf(c_0_157,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aNaturalNumber0(X1) ),
    i_0_10 ).

cnf(c_0_158,plain,
    ( sdtpldt0(sdtpldt0(xm,xn),xp) = sdtpldt0(xm,xn)
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_125]),c_0_111])]) ).

cnf(c_0_159,plain,
    ( aNaturalNumber0(sdtpldt0(xn,X1))
    | ~ aNaturalNumber0(sdtpldt0(sz00,X1))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_155]),c_0_112])]) ).

cnf(c_0_160,plain,
    ( X1 = sdtmndt0(X2,X3)
    | sdtpldt0(X3,X1) != X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X3,X2) ),
    i_0_29 ).

cnf(c_0_161,plain,
    ( X1 = sz00
    | sdtpldt0(X2,X1) != X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_119])]) ).

cnf(c_0_162,plain,
    sdtpldt0(sdtpldt0(xm,xn),xp) = sdtpldt0(xm,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_123]),c_0_112]),c_0_139])]) ).

cnf(c_0_163,plain,
    ( aNaturalNumber0(sdtpldt0(xn,X1))
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_159,c_0_118]) ).

cnf(c_0_164,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_160]),c_0_125]),c_0_123]) ).

cnf(c_0_165,hypothesis,
    sdtpldt0(xp,esk1_2(xp,xn)) = xn,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_109]),c_0_112]),c_0_111])]) ).

cnf(c_0_166,hypothesis,
    aNaturalNumber0(esk1_2(xp,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_109]),c_0_112]),c_0_111])]) ).

cnf(c_0_167,plain,
    ( xp = sz00
    | ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_111])]) ).

cnf(c_0_168,plain,
    ( aNaturalNumber0(sdtpldt0(X1,xn))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_134]),c_0_112])]) ).

cnf(c_0_169,hypothesis,
    esk1_2(xp,xn) = xr,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_110]),c_0_111]),c_0_166])]) ).

cnf(c_0_170,plain,
    xp = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_139])]) ).

cnf(c_0_171,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170]),c_0_133]),c_0_116]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM494+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n013.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 09:59:16 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 7.59/2.45  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.59/2.45  # No SInE strategy applied
% 7.59/2.45  # Trying AutoSched0 for 150 seconds
% 7.59/2.45  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 7.59/2.45  # and selection function PSelectNewComplexAHP.
% 7.59/2.45  #
% 7.59/2.45  # Preprocessing time       : 0.017 s
% 7.59/2.45  # Presaturation interreduction done
% 7.59/2.45  
% 7.59/2.45  # Proof found!
% 7.59/2.45  # SZS status Theorem
% 7.59/2.45  # SZS output start CNFRefutation
% See solution above
% 7.59/2.45  # Training examples: 0 positive, 0 negative
% 7.59/2.45  
% 7.59/2.45  # -------------------------------------------------
% 7.59/2.45  # User time                : 0.051 s
% 7.59/2.45  # System time              : 0.009 s
% 7.59/2.45  # Total time               : 0.060 s
% 7.59/2.45  # Maximum resident set size: 7124 pages
% 7.59/2.45  
%------------------------------------------------------------------------------