TSTP Solution File: NUM583+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM583+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 08:37:36 EDT 2022

% Result   : Theorem 17.88s 3.64s
% Output   : CNFRefutation 17.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   90 (  26 unt;  16 nHn;  90 RR)
%            Number of literals    :  270 (  37 equ; 167 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :  117 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_106,plain,
    ( aSubsetOf0(X1,X2)
    | X3 != slbdtsldtrb0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X4,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_106) ).

cnf(i_0_171,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_171) ).

cnf(i_0_160,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_160) ).

cnf(i_0_15,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_15) ).

cnf(i_0_149,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_149) ).

cnf(i_0_45,plain,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_45) ).

cnf(i_0_14,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_14) ).

cnf(i_0_37,plain,
    ( aSet0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_37) ).

cnf(i_0_173,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_173) ).

cnf(i_0_168,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_168) ).

cnf(i_0_163,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_163) ).

cnf(i_0_46,plain,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_46) ).

cnf(i_0_35,plain,
    ( aElementOf0(X1,X2)
    | X3 != sdtmndt0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElement0(X4)
    | ~ aElementOf0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_35) ).

cnf(i_0_78,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_78) ).

cnf(i_0_19,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aSet0(X3)
    | ~ aSet0(X1)
    | ~ aSubsetOf0(X3,X2)
    | ~ aSubsetOf0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_19) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_3) ).

cnf(i_0_7,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_7) ).

cnf(i_0_26,plain,
    ( X1 = X2
    | aElementOf0(X1,X3)
    | X4 != sdtpldt0(X3,X2)
    | ~ aSet0(X3)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_26) ).

cnf(i_0_11,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_11) ).

cnf(i_0_54,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_54) ).

cnf(i_0_12,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(esk2_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_12) ).

cnf(i_0_13,plain,
    ( aSubsetOf0(X1,X2)
    | aElementOf0(esk2_2(X2,X1),X1)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_13) ).

cnf(i_0_166,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_166) ).

cnf(i_0_170,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_170) ).

cnf(i_0_174,negated_conjecture,
    ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_174) ).

cnf(i_0_28,plain,
    ( aSet0(X1)
    | X1 != sdtpldt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x8yyfbmm/input.p',i_0_28) ).

cnf(c_0_201,plain,
    ( aSubsetOf0(X1,X2)
    | X3 != slbdtsldtrb0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X4,szNzAzT0) ),
    i_0_106 ).

cnf(c_0_202,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[c_0_201]) ).

cnf(c_0_203,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
    i_0_171 ).

cnf(c_0_204,hypothesis,
    aElementOf0(xk,szNzAzT0),
    i_0_160 ).

cnf(c_0_205,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_15 ).

cnf(c_0_206,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    i_0_149 ).

cnf(c_0_207,plain,
    aSet0(szNzAzT0),
    i_0_45 ).

cnf(c_0_208,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    i_0_14 ).

cnf(c_0_209,hypothesis,
    ( aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204])]) ).

cnf(c_0_210,plain,
    ( aSet0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    i_0_37 ).

cnf(c_0_211,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    i_0_173 ).

cnf(c_0_212,hypothesis,
    aSet0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207])]) ).

cnf(c_0_213,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_168 ).

cnf(c_0_214,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    i_0_163 ).

cnf(c_0_215,plain,
    aElementOf0(sz00,szNzAzT0),
    i_0_46 ).

cnf(c_0_216,plain,
    ( aElementOf0(X1,X2)
    | X3 != sdtmndt0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElement0(X4)
    | ~ aElementOf0(X1,X3) ),
    i_0_35 ).

cnf(c_0_217,plain,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ aElementOf0(X1,xQ)
    | ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_218,plain,
    ( aSet0(sdtmndt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_210]) ).

cnf(c_0_219,hypothesis,
    aSet0(sdtlpdtrp0(xN,xi)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_211]),c_0_212])]) ).

cnf(c_0_220,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    i_0_78 ).

cnf(c_0_221,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aSet0(X3)
    | ~ aSet0(X1)
    | ~ aSubsetOf0(X3,X2)
    | ~ aSubsetOf0(X1,X3) ),
    i_0_19 ).

cnf(c_0_222,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
    | ~ sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215])]) ).

cnf(c_0_223,plain,
    ( aElementOf0(X1,X2)
    | ~ aElement0(X3)
    | ~ aElementOf0(X1,sdtmndt0(X2,X3))
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[c_0_216]) ).

cnf(c_0_224,plain,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ aElementOf0(X1,xQ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219])]) ).

cnf(c_0_225,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_226,plain,
    ( X1 = slcrc0
    | aElementOf0(szmzizndt0(X1),X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_220]) ).

cnf(c_0_227,hypothesis,
    ( aSubsetOf0(X1,szNzAzT0)
    | ~ aSubsetOf0(X1,xS)
    | ~ aSet0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_206]),c_0_207])]),c_0_212])]) ).

cnf(c_0_228,plain,
    ( aSet0(xQ)
    | ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    inference(spm,[status(thm)],[c_0_205,c_0_209]) ).

cnf(c_0_229,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    i_0_7 ).

cnf(c_0_230,plain,
    ( aSubsetOf0(X1,xS)
    | ~ sdtlseqdt0(sz00,X2)
    | ~ aSubsetOf0(X1,sdtlpdtrp0(xN,X2))
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aSet0(sdtlpdtrp0(xN,X2))
    | ~ aSet0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_212])]) ).

cnf(c_0_231,plain,
    ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ aElementOf0(X1,xQ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_219])]) ).

cnf(c_0_232,plain,
    ( X1 = slcrc0
    | aElement0(szmzizndt0(X1))
    | ~ aSubsetOf0(X1,szNzAzT0)
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_233,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_211]),c_0_219])]) ).

cnf(c_0_234,plain,
    ( X1 = X2
    | aElementOf0(X1,X3)
    | X4 != sdtpldt0(X3,X2)
    | ~ aSet0(X3)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,X4) ),
    i_0_26 ).

cnf(c_0_235,plain,
    ( aSet0(xQ)
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_218]),c_0_219])]) ).

cnf(c_0_236,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    i_0_11 ).

cnf(c_0_237,plain,
    aSet0(slcrc0),
    inference(er,[status(thm)],[c_0_229]) ).

cnf(c_0_238,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
    | ~ sdtlseqdt0(sz00,X2)
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aSet0(sdtlpdtrp0(xN,X2))
    | ~ aSet0(sdtlpdtrp0(xN,X1)) ),
    inference(spm,[status(thm)],[c_0_230,c_0_213]) ).

cnf(c_0_239,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_54 ).

cnf(c_0_240,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(esk2_2(X2,X1),X2) ),
    i_0_12 ).

cnf(c_0_241,plain,
    ( sdtlpdtrp0(xN,xi) = slcrc0
    | aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ aElementOf0(X1,xQ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]),c_0_219])]) ).

cnf(c_0_242,plain,
    ( X1 = X2
    | aElementOf0(X1,X3)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,sdtpldt0(X3,X2))
    | ~ aSet0(X3) ),
    inference(er,[status(thm)],[c_0_234]) ).

cnf(c_0_243,plain,
    ( aSubsetOf0(X1,X2)
    | aElementOf0(esk2_2(X2,X1),X1)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    i_0_13 ).

cnf(c_0_244,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_166 ).

cnf(c_0_245,plain,
    ( sdtlpdtrp0(xN,xi) = slcrc0
    | aSet0(xQ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_232]),c_0_233]),c_0_219])]) ).

cnf(c_0_246,hypothesis,
    aElementOf0(xi,szNzAzT0),
    i_0_170 ).

cnf(c_0_247,plain,
    ~ isCountable0(slcrc0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_236]),c_0_237])]) ).

cnf(c_0_248,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aSet0(sdtlpdtrp0(xN,X2))
    | ~ aSet0(sdtlpdtrp0(xN,X1)) ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_249,plain,
    ( sdtlpdtrp0(xN,xi) = slcrc0
    | aSubsetOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ aElementOf0(esk2_2(sdtlpdtrp0(xN,xi),X1),xQ)
    | ~ aSet0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_219])]) ).

cnf(c_0_250,plain,
    ( esk2_2(X1,sdtpldt0(X2,X3)) = X3
    | aSubsetOf0(sdtpldt0(X2,X3),X1)
    | aElementOf0(esk2_2(X1,sdtpldt0(X2,X3)),X2)
    | ~ aElement0(X3)
    | ~ aSet0(sdtpldt0(X2,X3))
    | ~ aSet0(X2)
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[c_0_242,c_0_243]) ).

cnf(c_0_251,hypothesis,
    aSet0(xQ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246])]),c_0_247]) ).

cnf(c_0_252,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aSet0(sdtlpdtrp0(xN,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_239]),c_0_215]),c_0_214]),c_0_212])]) ).

cnf(c_0_253,plain,
    ( esk2_2(sdtlpdtrp0(xN,xi),sdtpldt0(xQ,X1)) = X1
    | sdtlpdtrp0(xN,xi) = slcrc0
    | aSubsetOf0(sdtpldt0(xQ,X1),sdtlpdtrp0(xN,xi))
    | ~ aElement0(X1)
    | ~ aSet0(sdtpldt0(xQ,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]),c_0_219])]) ).

cnf(c_0_254,plain,
    ( aSubsetOf0(X1,xS)
    | ~ aSubsetOf0(X1,sdtlpdtrp0(xN,X2))
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aSet0(sdtlpdtrp0(xN,X2))
    | ~ aSet0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_252]),c_0_212])]) ).

cnf(c_0_255,plain,
    ( sdtlpdtrp0(xN,xi) = slcrc0
    | aSubsetOf0(sdtpldt0(xQ,X1),sdtlpdtrp0(xN,xi))
    | ~ aElement0(X1)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ aSet0(sdtpldt0(xQ,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_253]),c_0_219])]) ).

cnf(c_0_256,negated_conjecture,
    ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
    i_0_174 ).

cnf(c_0_257,plain,
    ( sdtlpdtrp0(xN,xi) = slcrc0
    | aSubsetOf0(sdtpldt0(xQ,X1),xS)
    | ~ aElement0(X1)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ aSet0(sdtpldt0(xQ,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_246]),c_0_219])]) ).

cnf(c_0_258,plain,
    ( aSet0(X1)
    | X1 != sdtpldt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    i_0_28 ).

cnf(c_0_259,negated_conjecture,
    ( sdtlpdtrp0(xN,xi) = slcrc0
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    | ~ aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_260,plain,
    ( aSet0(sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_258]) ).

cnf(c_0_261,plain,
    ( sdtlpdtrp0(xN,xi) = slcrc0
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_251])]) ).

cnf(c_0_262,plain,
    ( sdtlpdtrp0(xN,xi) = slcrc0
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_226]),c_0_233])]) ).

cnf(c_0_263,plain,
    sdtlpdtrp0(xN,xi) = slcrc0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_232]),c_0_233]),c_0_219])]) ).

cnf(c_0_264,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_263]),c_0_246])]),c_0_247]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : NUM583+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n029.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % 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 : Thu Jul  7 07:05:15 EDT 2022
% 0.19/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 17.88/3.64  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 17.88/3.64  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 29; version: 991; iters: 150)
% 17.88/3.64  # Preprocessing time       : 1.245 s
% 17.88/3.64  # Presaturation interreduction done
% 17.88/3.64  
% 17.88/3.64  # Proof found!
% 17.88/3.64  # SZS status Theorem
% 17.88/3.64  # SZS output start CNFRefutation
% See solution above
% 17.88/3.64  # Training examples: 0 positive, 0 negative
% 17.88/3.64  
% 17.88/3.64  # -------------------------------------------------
% 17.88/3.64  # User time                : 1.201 s
% 17.88/3.64  # System time              : 0.149 s
% 17.88/3.64  # Total time               : 1.350 s
% 17.88/3.64  # ...preprocessing         : 1.245 s
% 17.88/3.64  # ...main loop             : 0.105 s
% 17.88/3.64  # Maximum resident set size: 185960 pages
% 17.88/3.64  
%------------------------------------------------------------------------------