TSTP Solution File: NUM573+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM573+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.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 08:37:30 EDT 2022

% Result   : Theorem 18.18s 3.60s
% Output   : CNFRefutation 18.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   30
% Syntax   : Number of clauses     :  102 (  33 unt;  18 nHn; 102 RR)
%            Number of literals    :  280 (  34 equ; 170 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :  101 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_64,plain,
    ( iLess0(X1,szszuzczcdt0(X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_64) ).

cnf(i_0_173,negated_conjecture,
    szszuzczcdt0(esk22_0) = xi,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_173) ).

cnf(i_0_174,negated_conjecture,
    aElementOf0(esk22_0,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_174) ).

cnf(i_0_62,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(szszuzczcdt0(X2),X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_62) ).

cnf(i_0_55,plain,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_55) ).

cnf(i_0_170,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ iLess0(X1,xi) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_170) ).

cnf(i_0_162,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_162) ).

cnf(i_0_15,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_15) ).

cnf(i_0_149,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_149) ).

cnf(i_0_45,plain,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_45) ).

cnf(i_0_46,plain,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_46) ).

cnf(i_0_14,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/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-ca8fnr8a/input.p',i_0_37) ).

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-ca8fnr8a/input.p',i_0_19) ).

cnf(i_0_163,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_163) ).

cnf(i_0_78,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_78) ).

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-ca8fnr8a/input.p',i_0_35) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_3) ).

cnf(i_0_166,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_166) ).

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-ca8fnr8a/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-ca8fnr8a/input.p',i_0_13) ).

cnf(i_0_171,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_171) ).

cnf(i_0_169,hypothesis,
    aElementOf0(xj,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_169) ).

cnf(i_0_167,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_167) ).

cnf(i_0_60,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_60) ).

cnf(i_0_168,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_168) ).

cnf(i_0_7,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_7) ).

cnf(i_0_172,negated_conjecture,
    sdtlseqdt0(xj,xi),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_172) ).

cnf(i_0_11,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_11) ).

cnf(i_0_17,plain,
    ( aSubsetOf0(X1,X1)
    | ~ aSet0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ca8fnr8a/input.p',i_0_17) ).

cnf(c_0_205,plain,
    ( iLess0(X1,szszuzczcdt0(X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_64 ).

cnf(c_0_206,negated_conjecture,
    szszuzczcdt0(esk22_0) = xi,
    i_0_173 ).

cnf(c_0_207,negated_conjecture,
    aElementOf0(esk22_0,szNzAzT0),
    i_0_174 ).

cnf(c_0_208,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(szszuzczcdt0(X2),X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_62 ).

cnf(c_0_209,plain,
    ( ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),sz00) ),
    i_0_55 ).

cnf(c_0_210,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ iLess0(X1,xi) ),
    i_0_170 ).

cnf(c_0_211,negated_conjecture,
    iLess0(esk22_0,xi),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207])]) ).

cnf(c_0_212,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
    i_0_162 ).

cnf(c_0_213,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_15 ).

cnf(c_0_214,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    i_0_149 ).

cnf(c_0_215,plain,
    aSet0(szNzAzT0),
    i_0_45 ).

cnf(c_0_216,negated_conjecture,
    ( sdtlseqdt0(xi,X1)
    | sdtlseqdt0(X1,esk22_0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_206]),c_0_207])]) ).

cnf(c_0_217,plain,
    aElementOf0(sz00,szNzAzT0),
    i_0_46 ).

cnf(c_0_218,negated_conjecture,
    ~ sdtlseqdt0(xi,sz00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_206]),c_0_207])]) ).

cnf(c_0_219,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,esk22_0),sdtlpdtrp0(xN,X1))
    | ~ sdtlseqdt0(X1,esk22_0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_207])]) ).

cnf(c_0_220,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    i_0_14 ).

cnf(c_0_221,negated_conjecture,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,esk22_0),szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,esk22_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_206]),c_0_207])]) ).

cnf(c_0_222,plain,
    ( aSet0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    i_0_37 ).

cnf(c_0_223,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aSet0(X3)
    | ~ aSet0(X1)
    | ~ aSubsetOf0(X3,X2)
    | ~ aSubsetOf0(X1,X3) ),
    i_0_19 ).

cnf(c_0_224,hypothesis,
    aSet0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215])]) ).

cnf(c_0_225,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    i_0_163 ).

cnf(c_0_226,plain,
    sdtlseqdt0(sz00,esk22_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).

cnf(c_0_227,plain,
    ( aSet0(sdtlpdtrp0(xN,esk22_0))
    | ~ sdtlseqdt0(X1,esk22_0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aSet0(sdtlpdtrp0(xN,X1)) ),
    inference(spm,[status(thm)],[c_0_213,c_0_219]) ).

cnf(c_0_228,plain,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,esk22_0),szNzAzT0)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ isCountable0(sdtlpdtrp0(xN,esk22_0))
    | ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))) ),
    inference(spm,[status(thm)],[c_0_220,c_0_221]) ).

cnf(c_0_229,plain,
    ( aSet0(sdtmndt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_222]) ).

cnf(c_0_230,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_223,c_0_214]),c_0_215])]),c_0_224])]) ).

cnf(c_0_231,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,esk22_0),xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_225]),c_0_217])]),c_0_226])]) ).

cnf(c_0_232,hypothesis,
    aSet0(sdtlpdtrp0(xN,esk22_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_225]),c_0_226]),c_0_217]),c_0_224])]) ).

cnf(c_0_233,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    i_0_78 ).

cnf(c_0_234,plain,
    ( aElementOf0(X1,X2)
    | X3 != sdtmndt0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElement0(X4)
    | ~ aElementOf0(X1,X3) ),
    i_0_35 ).

cnf(c_0_235,plain,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))))
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,esk22_0)))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,esk22_0),szNzAzT0)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ isCountable0(sdtlpdtrp0(xN,esk22_0))
    | ~ aSet0(sdtlpdtrp0(xN,esk22_0)) ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_236,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,esk22_0),szNzAzT0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232])]) ).

cnf(c_0_237,plain,
    ( aElementOf0(X1,xS)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,esk22_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_231]),c_0_224])]) ).

cnf(c_0_238,plain,
    ( X1 = slcrc0
    | aElementOf0(szmzizndt0(X1),X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_233]) ).

cnf(c_0_239,plain,
    ( aElementOf0(X1,X2)
    | ~ aElement0(X3)
    | ~ aElementOf0(X1,sdtmndt0(X2,X3))
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[c_0_234]) ).

cnf(c_0_240,plain,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))))
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,esk22_0)))
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ isCountable0(sdtlpdtrp0(xN,esk22_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_232])]),c_0_236])]) ).

cnf(c_0_241,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_242,plain,
    ( sdtlpdtrp0(xN,esk22_0) = slcrc0
    | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk22_0)),xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_236])]) ).

cnf(c_0_243,plain,
    ( aElementOf0(X1,sdtlpdtrp0(xN,esk22_0))
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,esk22_0)))
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ isCountable0(sdtlpdtrp0(xN,esk22_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_232])]) ).

cnf(c_0_244,plain,
    ( sdtlpdtrp0(xN,esk22_0) = slcrc0
    | aElement0(szmzizndt0(sdtlpdtrp0(xN,esk22_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_224])]) ).

cnf(c_0_245,plain,
    ( sdtlpdtrp0(xN,esk22_0) = slcrc0
    | aElementOf0(X1,sdtlpdtrp0(xN,esk22_0))
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | ~ isCountable0(sdtlpdtrp0(xN,esk22_0)) ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_246,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_166 ).

cnf(c_0_247,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSet0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(esk2_2(X2,X1),X2) ),
    i_0_12 ).

cnf(c_0_248,hypothesis,
    ( sdtlpdtrp0(xN,esk22_0) = slcrc0
    | aElementOf0(X1,sdtlpdtrp0(xN,esk22_0))
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_207])]) ).

cnf(c_0_249,plain,
    ( aSubsetOf0(X1,sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,esk22_0)
    | ~ aSubsetOf0(X1,sdtlpdtrp0(xN,esk22_0))
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aSet0(sdtlpdtrp0(xN,esk22_0))
    | ~ aSet0(sdtlpdtrp0(xN,X2))
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[c_0_223,c_0_219]) ).

cnf(c_0_250,plain,
    ( sdtlpdtrp0(xN,esk22_0) = slcrc0
    | aSubsetOf0(X1,sdtlpdtrp0(xN,esk22_0))
    | ~ aElementOf0(esk2_2(sdtlpdtrp0(xN,esk22_0),X1),sdtlpdtrp0(xN,xi))
    | ~ aSet0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_232])]) ).

cnf(c_0_251,plain,
    ( aSubsetOf0(X1,X2)
    | aElementOf0(esk2_2(X2,X1),X1)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    i_0_13 ).

cnf(c_0_252,plain,
    ( aSubsetOf0(X1,sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,esk22_0)
    | ~ aSubsetOf0(X1,sdtlpdtrp0(xN,esk22_0))
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aSet0(sdtlpdtrp0(xN,X2))
    | ~ aSet0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_232])]) ).

cnf(c_0_253,plain,
    ( sdtlpdtrp0(xN,esk22_0) = slcrc0
    | aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,esk22_0))
    | ~ aSet0(sdtlpdtrp0(xN,xi)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_232])]) ).

cnf(c_0_254,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
    i_0_171 ).

cnf(c_0_255,plain,
    ( sdtlpdtrp0(xN,esk22_0) = slcrc0
    | aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,X1))
    | ~ sdtlseqdt0(X1,esk22_0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aSet0(sdtlpdtrp0(xN,xi))
    | ~ aSet0(sdtlpdtrp0(xN,X1)) ),
    inference(spm,[status(thm)],[c_0_252,c_0_253]) ).

cnf(c_0_256,hypothesis,
    aElementOf0(xj,szNzAzT0),
    i_0_169 ).

cnf(c_0_257,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_167 ).

cnf(c_0_258,negated_conjecture,
    ( sdtlpdtrp0(xN,esk22_0) = slcrc0
    | ~ sdtlseqdt0(xj,esk22_0)
    | ~ aSet0(sdtlpdtrp0(xN,xi))
    | ~ aSet0(sdtlpdtrp0(xN,xj)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256])]) ).

cnf(c_0_259,plain,
    ( aSet0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_257]),c_0_215])]) ).

cnf(c_0_260,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_60 ).

cnf(c_0_261,plain,
    ( sdtlpdtrp0(xN,esk22_0) = slcrc0
    | ~ sdtlseqdt0(xj,esk22_0)
    | ~ aSet0(sdtlpdtrp0(xN,xi)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_256])]) ).

cnf(c_0_262,hypothesis,
    aElementOf0(xi,szNzAzT0),
    i_0_168 ).

cnf(c_0_263,plain,
    ( X1 = szszuzczcdt0(X2)
    | sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X1,szszuzczcdt0(X2))
    | ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_260,c_0_208]) ).

cnf(c_0_264,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    i_0_7 ).

cnf(c_0_265,plain,
    ( sdtlpdtrp0(xN,esk22_0) = slcrc0
    | ~ sdtlseqdt0(xj,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_259]),c_0_262])]) ).

cnf(c_0_266,negated_conjecture,
    ( X1 = xi
    | sdtlseqdt0(X1,esk22_0)
    | ~ sdtlseqdt0(X1,xi)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_206]),c_0_262]),c_0_207])]) ).

cnf(c_0_267,negated_conjecture,
    sdtlseqdt0(xj,xi),
    i_0_172 ).

cnf(c_0_268,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    i_0_11 ).

cnf(c_0_269,plain,
    aSet0(slcrc0),
    inference(er,[status(thm)],[c_0_264]) ).

cnf(c_0_270,negated_conjecture,
    ( sdtlpdtrp0(xN,esk22_0) = slcrc0
    | xj = xi ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_267]),c_0_256])]) ).

cnf(c_0_271,plain,
    ~ isCountable0(slcrc0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_268]),c_0_269])]) ).

cnf(c_0_272,hypothesis,
    xj = xi,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_270]),c_0_207])]),c_0_271]) ).

cnf(c_0_273,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xi)),
    inference(rw,[status(thm)],[c_0_254,c_0_272]) ).

cnf(c_0_274,plain,
    ( aSubsetOf0(X1,X1)
    | ~ aSet0(X1) ),
    i_0_17 ).

cnf(c_0_275,plain,
    ~ aSet0(sdtlpdtrp0(xN,xi)),
    inference(spm,[status(thm)],[c_0_273,c_0_274]) ).

cnf(c_0_276,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_259]),c_0_262])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM573+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n005.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
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Wed Jul  6 21:33:24 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected complete mode:
% 18.18/3.60  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 18.18/3.60  # 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: 40; version: 991; iters: 150)
% 18.18/3.60  # Preprocessing time       : 1.216 s
% 18.18/3.60  # Presaturation interreduction done
% 18.18/3.60  
% 18.18/3.60  # Proof found!
% 18.18/3.60  # SZS status Theorem
% 18.18/3.60  # SZS output start CNFRefutation
% See solution above
% 18.18/3.60  # Training examples: 0 positive, 0 negative
% 18.18/3.60  
% 18.18/3.60  # -------------------------------------------------
% 18.18/3.60  # User time                : 1.198 s
% 18.18/3.60  # System time              : 0.142 s
% 18.18/3.60  # Total time               : 1.340 s
% 18.18/3.60  # ...preprocessing         : 1.216 s
% 18.18/3.60  # ...main loop             : 0.124 s
% 18.18/3.60  # Maximum resident set size: 185316 pages
% 18.18/3.60  
%------------------------------------------------------------------------------