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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM541+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 08:37:09 EDT 2022

% Result   : Theorem 9.28s 2.43s
% Output   : CNFRefutation 9.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   34
% Syntax   : Number of clauses     :  162 (  22 unt;  45 nHn; 162 RR)
%            Number of literals    :  472 ( 121 equ; 271 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-2 aty)
%            Number of variables   :  194 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
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-382x8ab3/input.p',i_0_62) ).

cnf(i_0_94,hypothesis,
    aElementOf0(xm,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_94) ).

cnf(i_0_87,plain,
    ( aElementOf0(X1,X2)
    | X2 != slbdtrb0(X3)
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_87) ).

cnf(i_0_57,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_57) ).

cnf(i_0_48,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_48) ).

cnf(i_0_93,hypothesis,
    aElementOf0(xn,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_93) ).

cnf(i_0_97,negated_conjecture,
    ( ~ aElementOf0(xm,slbdtrb0(xn))
    | ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_97) ).

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-382x8ab3/input.p',i_0_60) ).

cnf(i_0_96,negated_conjecture,
    ( xn != xm
    | ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_96) ).

cnf(i_0_61,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_61) ).

cnf(i_0_50,plain,
    ( X1 = sz00
    | szszuzczcdt0(esk5_1(X1)) = X1
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_50) ).

cnf(i_0_47,plain,
    ( szszuzczcdt0(X1) != sz00
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_47) ).

cnf(i_0_51,plain,
    ( X1 = sz00
    | aElementOf0(esk5_1(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_51) ).

cnf(i_0_58,plain,
    ( sdtlseqdt0(X1,szszuzczcdt0(X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_58) ).

cnf(i_0_37,plain,
    ( aSet0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_37) ).

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-382x8ab3/input.p',i_0_26) ).

cnf(i_0_38,plain,
    ( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_38) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_3) ).

cnf(i_0_77,plain,
    ( X1 = slcrc0
    | sdtlseqdt0(X2,X3)
    | X2 != szmzizndt0(X1)
    | ~ aElementOf0(X3,X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_77) ).

cnf(i_0_6,plain,
    ( X1 != slcrc0
    | ~ aElementOf0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_6) ).

cnf(i_0_45,plain,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_45) ).

cnf(i_0_88,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),X2)
    | X3 != slbdtrb0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X2,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_88) ).

cnf(i_0_17,plain,
    ( aSubsetOf0(X1,X1)
    | ~ aSet0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_17) ).

cnf(i_0_76,plain,
    ( X1 = slcrc0
    | X2 = szmzizndt0(X1)
    | aElementOf0(esk7_2(X1,X2),X1)
    | ~ aElementOf0(X2,X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_76) ).

cnf(i_0_78,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_78) ).

cnf(i_0_75,plain,
    ( X1 = slcrc0
    | X2 = szmzizndt0(X1)
    | ~ aElementOf0(X2,X1)
    | ~ aSubsetOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(X2,esk7_2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_75) ).

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-382x8ab3/input.p',i_0_35) ).

cnf(i_0_54,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_54) ).

cnf(i_0_46,plain,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_46) ).

cnf(i_0_89,plain,
    ( aElementOf0(X1,szNzAzT0)
    | X2 != slbdtrb0(X3)
    | ~ aElementOf0(X1,X2)
    | ~ aElementOf0(X3,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_89) ).

cnf(i_0_95,negated_conjecture,
    ( xn = xm
    | aElementOf0(xm,slbdtrb0(xn))
    | aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_95) ).

cnf(i_0_56,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_56) ).

cnf(i_0_59,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_59) ).

cnf(i_0_52,plain,
    ( szszuzczcdt0(X1) != X1
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-382x8ab3/input.p',i_0_52) ).

cnf(c_0_132,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(szszuzczcdt0(X2),X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_62 ).

cnf(c_0_133,hypothesis,
    aElementOf0(xm,szNzAzT0),
    i_0_94 ).

cnf(c_0_134,plain,
    ( aElementOf0(X1,X2)
    | X2 != slbdtrb0(X3)
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),X3) ),
    i_0_87 ).

cnf(c_0_135,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_57 ).

cnf(c_0_136,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_48 ).

cnf(c_0_137,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(xm),X1)
    | sdtlseqdt0(X1,xm)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_138,hypothesis,
    aElementOf0(xn,szNzAzT0),
    i_0_93 ).

cnf(c_0_139,plain,
    ( aElementOf0(X1,X2)
    | X2 != slbdtrb0(szszuzczcdt0(X3))
    | ~ sdtlseqdt0(X1,X3)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X3,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).

cnf(c_0_140,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(xm),xn)
    | sdtlseqdt0(xn,xm) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ aElementOf0(xm,slbdtrb0(xn))
    | ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
    i_0_97 ).

cnf(c_0_142,plain,
    ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_139]) ).

cnf(c_0_143,plain,
    ( sdtlseqdt0(xn,xm)
    | aElementOf0(xm,X1)
    | X1 != slbdtrb0(xn) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_140]),c_0_138]),c_0_133])]) ).

cnf(c_0_144,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_60 ).

cnf(c_0_145,negated_conjecture,
    ( ~ sdtlseqdt0(xm,xn)
    | ~ aElementOf0(xm,slbdtrb0(xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_133]),c_0_138])]) ).

cnf(c_0_146,plain,
    ( sdtlseqdt0(xn,xm)
    | aElementOf0(xm,slbdtrb0(xn)) ),
    inference(er,[status(thm)],[c_0_143]) ).

cnf(c_0_147,negated_conjecture,
    ( xn != xm
    | ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
    i_0_96 ).

cnf(c_0_148,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(xn),X1)
    | sdtlseqdt0(X1,xn)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_138]) ).

cnf(c_0_149,hypothesis,
    ( X1 = xn
    | ~ sdtlseqdt0(xn,X1)
    | ~ sdtlseqdt0(X1,xn)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_144,c_0_138]) ).

cnf(c_0_150,negated_conjecture,
    ( sdtlseqdt0(xn,xm)
    | ~ sdtlseqdt0(xm,xn) ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_151,negated_conjecture,
    ( xn != xm
    | ~ sdtlseqdt0(xm,xn) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_142]),c_0_133]),c_0_138])]) ).

cnf(c_0_152,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X3,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_61 ).

cnf(c_0_153,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(xn),xm)
    | sdtlseqdt0(xm,xn) ),
    inference(spm,[status(thm)],[c_0_148,c_0_133]) ).

cnf(c_0_154,hypothesis,
    ~ sdtlseqdt0(xm,xn),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_133])]),c_0_151]) ).

cnf(c_0_155,plain,
    ( X1 = sz00
    | szszuzczcdt0(esk5_1(X1)) = X1
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_50 ).

cnf(c_0_156,plain,
    ( szszuzczcdt0(X1) != sz00
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_47 ).

cnf(c_0_157,plain,
    ( X1 = sz00
    | aElementOf0(esk5_1(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_51 ).

cnf(c_0_158,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(szszuzczcdt0(X3),X2)
    | ~ sdtlseqdt0(X1,szszuzczcdt0(X3))
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X3,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_136]) ).

cnf(c_0_159,hypothesis,
    sdtlseqdt0(szszuzczcdt0(xn),xm),
    inference(sr,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_160,plain,
    ( sdtlseqdt0(X1,szszuzczcdt0(X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_58 ).

cnf(c_0_161,plain,
    ( szszuzczcdt0(esk5_1(szszuzczcdt0(X1))) = szszuzczcdt0(X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_136]),c_0_156]) ).

cnf(c_0_162,plain,
    ( aElementOf0(esk5_1(szszuzczcdt0(X1)),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_136]),c_0_156]) ).

cnf(c_0_163,plain,
    ( aSet0(X1)
    | X1 != sdtmndt0(X2,X3)
    | ~ aSet0(X2)
    | ~ aElement0(X3) ),
    i_0_37 ).

cnf(c_0_164,plain,
    ( sdtlseqdt0(X1,xm)
    | ~ sdtlseqdt0(X1,szszuzczcdt0(xn))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_133]),c_0_138])]) ).

cnf(c_0_165,plain,
    ( sdtlseqdt0(esk5_1(szszuzczcdt0(X1)),szszuzczcdt0(X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162]) ).

cnf(c_0_166,plain,
    ( X1 = X2
    | aElementOf0(X1,X3)
    | X4 != sdtpldt0(X3,X2)
    | ~ aSet0(X3)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,X4) ),
    i_0_26 ).

cnf(c_0_167,plain,
    ( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
    | ~ aSet0(X1)
    | ~ aElementOf0(X2,X1) ),
    i_0_38 ).

cnf(c_0_168,plain,
    ( aSet0(sdtmndt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_163]) ).

cnf(c_0_169,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_170,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
    | ~ sdtlseqdt0(esk5_1(szszuzczcdt0(X1)),X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_161]),c_0_162]) ).

cnf(c_0_171,plain,
    ( sdtlseqdt0(esk5_1(szszuzczcdt0(xn)),xm)
    | ~ aElementOf0(esk5_1(szszuzczcdt0(xn)),szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_138])]) ).

cnf(c_0_172,plain,
    ( X1 = slcrc0
    | sdtlseqdt0(X2,X3)
    | X2 != szmzizndt0(X1)
    | ~ aElementOf0(X3,X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    i_0_77 ).

cnf(c_0_173,plain,
    ( X1 != slcrc0
    | ~ aElementOf0(X2,X1) ),
    i_0_6 ).

cnf(c_0_174,plain,
    ( X1 = X2
    | aElementOf0(X1,sdtmndt0(X3,X2))
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X2,X3)
    | ~ aSet0(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167])]),c_0_168]),c_0_169]) ).

cnf(c_0_175,plain,
    aSet0(szNzAzT0),
    i_0_45 ).

cnf(c_0_176,plain,
    ( sdtlseqdt0(szszuzczcdt0(xn),szszuzczcdt0(xm))
    | ~ aElementOf0(esk5_1(szszuzczcdt0(xn)),szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_133]),c_0_138])]) ).

cnf(c_0_177,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),X2)
    | X3 != slbdtrb0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X2,szNzAzT0) ),
    i_0_88 ).

cnf(c_0_178,plain,
    ( sdtlseqdt0(X1,X2)
    | X1 != szmzizndt0(X3)
    | ~ aSubsetOf0(X3,szNzAzT0)
    | ~ aElementOf0(X2,X3) ),
    inference(csr,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_179,plain,
    ( aSubsetOf0(X1,X1)
    | ~ aSet0(X1) ),
    i_0_17 ).

cnf(c_0_180,plain,
    ( X1 = slcrc0
    | X2 = szmzizndt0(X1)
    | aElementOf0(esk7_2(X1,X2),X1)
    | ~ aElementOf0(X2,X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    i_0_76 ).

cnf(c_0_181,plain,
    ( szszuzczcdt0(X1) = X2
    | aElementOf0(szszuzczcdt0(X1),sdtmndt0(szNzAzT0,X2))
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_136]),c_0_175])]) ).

cnf(c_0_182,plain,
    ( X1 = szszuzczcdt0(X2)
    | ~ sdtlseqdt0(szszuzczcdt0(X2),X1)
    | ~ sdtlseqdt0(X1,szszuzczcdt0(X2))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_144,c_0_136]) ).

cnf(c_0_183,plain,
    sdtlseqdt0(szszuzczcdt0(xn),szszuzczcdt0(xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_162]),c_0_138])]) ).

cnf(c_0_184,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
    | X3 != slbdtrb0(szszuzczcdt0(X2))
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,X3) ),
    inference(spm,[status(thm)],[c_0_177,c_0_136]) ).

cnf(c_0_185,plain,
    ( sdtlseqdt0(X1,X2)
    | X1 != szmzizndt0(szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_175])]) ).

cnf(c_0_186,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    i_0_78 ).

cnf(c_0_187,hypothesis,
    slcrc0 != szNzAzT0,
    inference(spm,[status(thm)],[c_0_173,c_0_138]) ).

cnf(c_0_188,plain,
    ( X1 = slcrc0
    | X2 = szmzizndt0(X1)
    | ~ aElementOf0(X2,X1)
    | ~ aSubsetOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(X2,esk7_2(X1,X2)) ),
    i_0_75 ).

cnf(c_0_189,plain,
    ( X1 = szmzizndt0(X2)
    | aElementOf0(esk7_2(X2,X1),X2)
    | ~ aSubsetOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,X2) ),
    inference(csr,[status(thm)],[c_0_180,c_0_173]) ).

cnf(c_0_190,plain,
    ( aElementOf0(X1,X2)
    | X3 != sdtmndt0(X2,X4)
    | ~ aSet0(X2)
    | ~ aElement0(X4)
    | ~ aElementOf0(X1,X3) ),
    i_0_35 ).

cnf(c_0_191,hypothesis,
    ( szszuzczcdt0(X1) = xn
    | aElementOf0(szszuzczcdt0(X1),sdtmndt0(szNzAzT0,xn))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_181,c_0_138]) ).

cnf(c_0_192,plain,
    ( szszuzczcdt0(xn) = szszuzczcdt0(xm)
    | ~ sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
    | ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_138])]) ).

cnf(c_0_193,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
    | ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_184]) ).

cnf(c_0_194,plain,
    ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
    | ~ sdtlseqdt0(X1,esk5_1(szszuzczcdt0(X2)))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_161]),c_0_162]) ).

cnf(c_0_195,plain,
    ( sdtlseqdt0(X1,esk5_1(szszuzczcdt0(X2)))
    | X1 != szmzizndt0(szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_162]) ).

cnf(c_0_196,plain,
    ( aElementOf0(X1,szNzAzT0)
    | X1 != szmzizndt0(szNzAzT0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_179]),c_0_175])]),c_0_187]) ).

cnf(c_0_197,plain,
    ( X1 = szmzizndt0(X2)
    | ~ sdtlseqdt0(X1,esk7_2(X2,X1))
    | ~ aSubsetOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,X2) ),
    inference(csr,[status(thm)],[c_0_188,c_0_173]) ).

cnf(c_0_198,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_54 ).

cnf(c_0_199,plain,
    ( X1 = szmzizndt0(szNzAzT0)
    | aElementOf0(esk7_2(szNzAzT0,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_179]),c_0_175])]) ).

cnf(c_0_200,plain,
    aElementOf0(sz00,szNzAzT0),
    i_0_46 ).

cnf(c_0_201,hypothesis,
    ( sdtlseqdt0(xn,xm)
    | sdtlseqdt0(X1,xn)
    | ~ sdtlseqdt0(X1,szszuzczcdt0(xm))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_140]),c_0_138]),c_0_133])]) ).

cnf(c_0_202,plain,
    ( aElementOf0(X1,X2)
    | ~ aElement0(X3)
    | ~ aElementOf0(X1,sdtmndt0(X2,X3))
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[c_0_190]) ).

cnf(c_0_203,hypothesis,
    ( szszuzczcdt0(xn) = xn
    | aElementOf0(szszuzczcdt0(xn),sdtmndt0(szNzAzT0,xn)) ),
    inference(spm,[status(thm)],[c_0_191,c_0_138]) ).

cnf(c_0_204,hypothesis,
    aElement0(xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_138]),c_0_175])]) ).

cnf(c_0_205,plain,
    ( szszuzczcdt0(xn) = szszuzczcdt0(xm)
    | ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
    | ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_138])]) ).

cnf(c_0_206,plain,
    ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
    | X1 != szmzizndt0(szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196]) ).

cnf(c_0_207,plain,
    ( szmzizndt0(X1) = sz00
    | ~ aSubsetOf0(X1,szNzAzT0)
    | ~ aElementOf0(esk7_2(X1,sz00),szNzAzT0)
    | ~ aElementOf0(sz00,X1) ),
    inference(spm,[status(thm)],[c_0_197,c_0_198]) ).

cnf(c_0_208,plain,
    ( szmzizndt0(szNzAzT0) = sz00
    | aElementOf0(esk7_2(szNzAzT0,sz00),szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_209,hypothesis,
    ( sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(xn,X2)
    | ~ sdtlseqdt0(X1,xn)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_138]) ).

cnf(c_0_210,plain,
    sdtlseqdt0(xn,xm),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_160]),c_0_133])]),c_0_154]) ).

cnf(c_0_211,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(X1),xn)
    | X2 != slbdtrb0(xn)
    | ~ aElementOf0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_177,c_0_138]) ).

cnf(c_0_212,plain,
    ( aElementOf0(X1,szNzAzT0)
    | X2 != slbdtrb0(X3)
    | ~ aElementOf0(X1,X2)
    | ~ aElementOf0(X3,szNzAzT0) ),
    i_0_89 ).

cnf(c_0_213,plain,
    ( szszuzczcdt0(xn) = xn
    | aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]),c_0_175])]) ).

cnf(c_0_214,plain,
    ( szszuzczcdt0(xn) = szszuzczcdt0(xm)
    | szmzizndt0(szNzAzT0) != xm
    | ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_138])]) ).

cnf(c_0_215,plain,
    ( szmzizndt0(szNzAzT0) = sz00
    | ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_200])]) ).

cnf(c_0_216,hypothesis,
    ( sdtlseqdt0(X1,xm)
    | ~ sdtlseqdt0(X1,xn)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_133])]) ).

cnf(c_0_217,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(X1),xn)
    | ~ aElementOf0(X1,slbdtrb0(xn)) ),
    inference(er,[status(thm)],[c_0_211]) ).

cnf(c_0_218,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | X2 != slbdtrb0(xn)
    | ~ aElementOf0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_138]) ).

cnf(c_0_219,plain,
    ( szszuzczcdt0(xn) = xn
    | sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(xn))
    | X2 != slbdtrb0(szszuzczcdt0(xn))
    | ~ aElementOf0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_177,c_0_213]) ).

cnf(c_0_220,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(X1),xm)
    | X2 != slbdtrb0(xm)
    | ~ aElementOf0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_177,c_0_133]) ).

cnf(c_0_221,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | X2 != slbdtrb0(xm)
    | ~ aElementOf0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_133]) ).

cnf(c_0_222,plain,
    ( szszuzczcdt0(xn) = szszuzczcdt0(xm)
    | xm != sz00
    | ~ aSubsetOf0(szNzAzT0,szNzAzT0)
    | ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_223,plain,
    ( sdtlseqdt0(xm,xn)
    | aElementOf0(xn,X1)
    | X1 != slbdtrb0(xm) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_153]),c_0_133]),c_0_138])]) ).

cnf(c_0_224,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(X1),xm)
    | ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,slbdtrb0(xn)) ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_225,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,slbdtrb0(xn)) ),
    inference(er,[status(thm)],[c_0_218]) ).

cnf(c_0_226,plain,
    ( szszuzczcdt0(xn) = xn
    | sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(xn))
    | ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(xn))) ),
    inference(er,[status(thm)],[c_0_219]) ).

cnf(c_0_227,negated_conjecture,
    ( xn = xm
    | aElementOf0(xm,slbdtrb0(xn))
    | aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
    i_0_95 ).

cnf(c_0_228,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(X1),xm)
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(er,[status(thm)],[c_0_220]) ).

cnf(c_0_229,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(er,[status(thm)],[c_0_221]) ).

cnf(c_0_230,plain,
    ( szszuzczcdt0(xn) = szszuzczcdt0(xm)
    | xm != sz00
    | ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_136]),c_0_133])]) ).

cnf(c_0_231,plain,
    ( sdtlseqdt0(xm,xn)
    | aElementOf0(xn,slbdtrb0(xm)) ),
    inference(er,[status(thm)],[c_0_223]) ).

cnf(c_0_232,plain,
    ( aElementOf0(X1,X2)
    | X2 != slbdtrb0(xm)
    | ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,slbdtrb0(xn)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_224]),c_0_133])]),c_0_225]) ).

cnf(c_0_233,plain,
    ( sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ),
    i_0_56 ).

cnf(c_0_234,negated_conjecture,
    ( szszuzczcdt0(xn) = xn
    | xn = xm
    | sdtlseqdt0(szszuzczcdt0(xm),szszuzczcdt0(xn))
    | aElementOf0(xm,slbdtrb0(xn)) ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_235,hypothesis,
    ( szszuzczcdt0(X1) = xm
    | ~ sdtlseqdt0(xm,szszuzczcdt0(X1))
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_228]),c_0_133])]),c_0_229]) ).

cnf(c_0_236,plain,
    ( szszuzczcdt0(xn) = szszuzczcdt0(xm)
    | xm != sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_179]),c_0_175])]) ).

cnf(c_0_237,plain,
    aElementOf0(xn,slbdtrb0(xm)),
    inference(sr,[status(thm)],[c_0_231,c_0_154]) ).

cnf(c_0_238,plain,
    ( aElementOf0(X1,X2)
    | X2 != slbdtrb0(xm)
    | ~ aElementOf0(X1,slbdtrb0(xn)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_136]),c_0_225]) ).

cnf(c_0_239,plain,
    ( szszuzczcdt0(xn) = xn
    | xn = xm
    | aElementOf0(xm,slbdtrb0(xn)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_138]),c_0_133])]),c_0_154]) ).

cnf(c_0_240,hypothesis,
    ( szszuzczcdt0(xm) = xm
    | xm != sz00
    | ~ sdtlseqdt0(xm,szszuzczcdt0(xm)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237])]) ).

cnf(c_0_241,plain,
    ( szszuzczcdt0(xn) = xn
    | xn = xm
    | aElementOf0(xm,X1)
    | X1 != slbdtrb0(xm) ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_242,plain,
    ( szszuzczcdt0(xm) = xm
    | xm != sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_160]),c_0_133])]) ).

cnf(c_0_243,plain,
    ( szszuzczcdt0(xm) = xm
    | ~ aElementOf0(xm,slbdtrb0(xm)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_160]),c_0_133])]) ).

cnf(c_0_244,plain,
    ( szszuzczcdt0(xn) = xn
    | xn = xm
    | aElementOf0(xm,slbdtrb0(xm)) ),
    inference(er,[status(thm)],[c_0_241]) ).

cnf(c_0_245,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_59 ).

cnf(c_0_246,hypothesis,
    ( szszuzczcdt0(esk5_1(xm)) = xm
    | xm = sz00 ),
    inference(spm,[status(thm)],[c_0_155,c_0_133]) ).

cnf(c_0_247,plain,
    xm != sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_242]),c_0_133])]) ).

cnf(c_0_248,plain,
    ( szszuzczcdt0(X1) != X1
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_52 ).

cnf(c_0_249,plain,
    ( szszuzczcdt0(xn) = xn
    | szszuzczcdt0(xm) = xm
    | xn = xm ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_250,plain,
    ( aElementOf0(X1,X2)
    | X2 != slbdtrb0(szszuzczcdt0(X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_245]),c_0_136]) ).

cnf(c_0_251,hypothesis,
    ( xm = sz00
    | aElementOf0(esk5_1(xm),szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_157,c_0_133]) ).

cnf(c_0_252,hypothesis,
    szszuzczcdt0(esk5_1(xm)) = xm,
    inference(sr,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_253,plain,
    ( szszuzczcdt0(xm) = xm
    | xn = xm ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_138])]) ).

cnf(c_0_254,plain,
    ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_250]) ).

cnf(c_0_255,hypothesis,
    aElementOf0(esk5_1(xm),szNzAzT0),
    inference(sr,[status(thm)],[c_0_251,c_0_247]) ).

cnf(c_0_256,hypothesis,
    ~ aElementOf0(esk5_1(xm),slbdtrb0(xn)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_252]),c_0_154]) ).

cnf(c_0_257,plain,
    xn = xm,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_253]),c_0_133])]) ).

cnf(c_0_258,plain,
    aElementOf0(esk5_1(xm),slbdtrb0(xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_252]),c_0_255])]) ).

cnf(c_0_259,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_257]),c_0_258])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM541+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n024.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 19:52:16 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 9.28/2.43  # ENIGMATIC: Solved by autoschedule:
% 9.28/2.43  # No SInE strategy applied
% 9.28/2.43  # Trying AutoSched0 for 150 seconds
% 9.28/2.43  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 9.28/2.43  # and selection function PSelectComplexExceptUniqMaxHorn.
% 9.28/2.43  #
% 9.28/2.43  # Preprocessing time       : 0.022 s
% 9.28/2.43  
% 9.28/2.43  # Proof found!
% 9.28/2.43  # SZS status Theorem
% 9.28/2.43  # SZS output start CNFRefutation
% See solution above
% 9.28/2.43  # Training examples: 0 positive, 0 negative
% 9.28/2.43  
% 9.28/2.43  # -------------------------------------------------
% 9.28/2.43  # User time                : 0.229 s
% 9.28/2.43  # System time              : 0.008 s
% 9.28/2.43  # Total time               : 0.237 s
% 9.28/2.43  # Maximum resident set size: 7120 pages
% 9.28/2.43  
%------------------------------------------------------------------------------