TSTP Solution File: SEU299+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU299+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art05.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 03:13:38 EST 2010

% Result   : Theorem 2.13s
% Output   : Solution 2.13s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP17252/SEU299+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP17252/SEU299+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17252/SEU299+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC  time limit is 120s
% TreeLimitedRun: PID is 17348
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time     : 0.021 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:(ordinal(X1)=>(![X2]:![X3]:![X4]:((((X2=X3&?[X5]:((ordinal(X5)&X3=X5)&(in(X5,omega)=>![X6]:(element(X6,powerset(powerset(X5)))=>~((~(X6=empty_set)&![X7]:~((in(X7,X6)&![X8]:((in(X8,X6)&subset(X7,X8))=>X8=X7)))))))))&X2=X4)&?[X9]:((ordinal(X9)&X4=X9)&(in(X9,omega)=>![X10]:(element(X10,powerset(powerset(X9)))=>~((~(X10=empty_set)&![X11]:~((in(X11,X10)&![X12]:((in(X12,X10)&subset(X11,X12))=>X12=X11)))))))))=>X3=X4)=>?[X2]:![X3]:(in(X3,X2)<=>?[X4]:((in(X4,succ(X1))&X4=X3)&?[X13]:((ordinal(X13)&X3=X13)&(in(X13,omega)=>![X14]:(element(X14,powerset(powerset(X13)))=>~((~(X14=empty_set)&![X15]:~((in(X15,X14)&![X16]:((in(X16,X14)&subset(X15,X16))=>X16=X15)))))))))))),file('/tmp/SRASS.s.p', s1_tarski__e18_27__finset_1__1)).
% fof(47, conjecture,![X1]:(ordinal(X1)=>?[X2]:![X3]:(in(X3,X2)<=>(in(X3,succ(X1))&?[X4]:((ordinal(X4)&X3=X4)&(in(X4,omega)=>![X5]:(element(X5,powerset(powerset(X4)))=>~((~(X5=empty_set)&![X6]:~((in(X6,X5)&![X7]:((in(X7,X5)&subset(X6,X7))=>X7=X6))))))))))),file('/tmp/SRASS.s.p', s1_xboole_0__e18_27__finset_1__1)).
% fof(48, negated_conjecture,~(![X1]:(ordinal(X1)=>?[X2]:![X3]:(in(X3,X2)<=>(in(X3,succ(X1))&?[X4]:((ordinal(X4)&X3=X4)&(in(X4,omega)=>![X5]:(element(X5,powerset(powerset(X4)))=>~((~(X5=empty_set)&![X6]:~((in(X6,X5)&![X7]:((in(X7,X5)&subset(X6,X7))=>X7=X6)))))))))))),inference(assume_negation,[status(cth)],[47])).
% fof(62, plain,![X2]:![X3]:![X4]:(epred1_3(X4,X3,X2)=>(((X2=X3&?[X5]:((ordinal(X5)&X3=X5)&(in(X5,omega)=>![X6]:(element(X6,powerset(powerset(X5)))=>~((~(X6=empty_set)&![X7]:~((in(X7,X6)&![X8]:((in(X8,X6)&subset(X7,X8))=>X8=X7)))))))))&X2=X4)&?[X9]:((ordinal(X9)&X4=X9)&(in(X9,omega)=>![X10]:(element(X10,powerset(powerset(X9)))=>~((~(X10=empty_set)&![X11]:~((in(X11,X10)&![X12]:((in(X12,X10)&subset(X11,X12))=>X12=X11)))))))))),introduced(definition)).
% fof(63, plain,![X1]:(ordinal(X1)=>(![X2]:![X3]:![X4]:(epred1_3(X4,X3,X2)=>X3=X4)=>?[X2]:![X3]:(in(X3,X2)<=>?[X4]:((in(X4,succ(X1))&X4=X3)&?[X13]:((ordinal(X13)&X3=X13)&(in(X13,omega)=>![X14]:(element(X14,powerset(powerset(X13)))=>~((~(X14=empty_set)&![X15]:~((in(X15,X14)&![X16]:((in(X16,X14)&subset(X15,X16))=>X16=X15)))))))))))),inference(apply_def,[status(esa)],[3,62,theory(equality)])).
% fof(69, plain,![X1]:(~(ordinal(X1))|(?[X2]:?[X3]:?[X4]:(epred1_3(X4,X3,X2)&~(X3=X4))|?[X2]:![X3]:((~(in(X3,X2))|?[X4]:((in(X4,succ(X1))&X4=X3)&?[X13]:((ordinal(X13)&X3=X13)&(~(in(X13,omega))|![X14]:(~(element(X14,powerset(powerset(X13))))|(X14=empty_set|?[X15]:(in(X15,X14)&![X16]:((~(in(X16,X14))|~(subset(X15,X16)))|X16=X15))))))))&(![X4]:((~(in(X4,succ(X1)))|~(X4=X3))|![X13]:((~(ordinal(X13))|~(X3=X13))|(in(X13,omega)&?[X14]:(element(X14,powerset(powerset(X13)))&(~(X14=empty_set)&![X15]:(~(in(X15,X14))|?[X16]:((in(X16,X14)&subset(X15,X16))&~(X16=X15))))))))|in(X3,X2))))),inference(fof_nnf,[status(thm)],[63])).
% fof(70, plain,![X17]:(~(ordinal(X17))|(?[X18]:?[X19]:?[X20]:(epred1_3(X20,X19,X18)&~(X19=X20))|?[X21]:![X22]:((~(in(X22,X21))|?[X23]:((in(X23,succ(X17))&X23=X22)&?[X24]:((ordinal(X24)&X22=X24)&(~(in(X24,omega))|![X25]:(~(element(X25,powerset(powerset(X24))))|(X25=empty_set|?[X26]:(in(X26,X25)&![X27]:((~(in(X27,X25))|~(subset(X26,X27)))|X27=X26))))))))&(![X28]:((~(in(X28,succ(X17)))|~(X28=X22))|![X29]:((~(ordinal(X29))|~(X22=X29))|(in(X29,omega)&?[X30]:(element(X30,powerset(powerset(X29)))&(~(X30=empty_set)&![X31]:(~(in(X31,X30))|?[X32]:((in(X32,X30)&subset(X31,X32))&~(X32=X31))))))))|in(X22,X21))))),inference(variable_rename,[status(thm)],[69])).
% fof(71, plain,![X17]:(~(ordinal(X17))|((epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))&~(esk2_1(X17)=esk3_1(X17)))|![X22]:((~(in(X22,esk4_1(X17)))|((in(esk5_2(X17,X22),succ(X17))&esk5_2(X17,X22)=X22)&((ordinal(esk6_2(X17,X22))&X22=esk6_2(X17,X22))&(~(in(esk6_2(X17,X22),omega))|![X25]:(~(element(X25,powerset(powerset(esk6_2(X17,X22)))))|(X25=empty_set|(in(esk7_3(X17,X22,X25),X25)&![X27]:((~(in(X27,X25))|~(subset(esk7_3(X17,X22,X25),X27)))|X27=esk7_3(X17,X22,X25)))))))))&(![X28]:((~(in(X28,succ(X17)))|~(X28=X22))|![X29]:((~(ordinal(X29))|~(X22=X29))|(in(X29,omega)&(element(esk8_4(X17,X22,X28,X29),powerset(powerset(X29)))&(~(esk8_4(X17,X22,X28,X29)=empty_set)&![X31]:(~(in(X31,esk8_4(X17,X22,X28,X29)))|((in(esk9_5(X17,X22,X28,X29,X31),esk8_4(X17,X22,X28,X29))&subset(X31,esk9_5(X17,X22,X28,X29,X31)))&~(esk9_5(X17,X22,X28,X29,X31)=X31))))))))|in(X22,esk4_1(X17)))))),inference(skolemize,[status(esa)],[70])).
% fof(72, plain,![X17]:![X22]:![X25]:![X27]:![X28]:![X29]:![X31]:((((((((((~(in(X31,esk8_4(X17,X22,X28,X29)))|((in(esk9_5(X17,X22,X28,X29,X31),esk8_4(X17,X22,X28,X29))&subset(X31,esk9_5(X17,X22,X28,X29,X31)))&~(esk9_5(X17,X22,X28,X29,X31)=X31)))&~(esk8_4(X17,X22,X28,X29)=empty_set))&element(esk8_4(X17,X22,X28,X29),powerset(powerset(X29))))&in(X29,omega))|(~(ordinal(X29))|~(X22=X29)))|(~(in(X28,succ(X17)))|~(X28=X22)))|in(X22,esk4_1(X17)))&(((((((((~(in(X27,X25))|~(subset(esk7_3(X17,X22,X25),X27)))|X27=esk7_3(X17,X22,X25))&in(esk7_3(X17,X22,X25),X25))|X25=empty_set)|~(element(X25,powerset(powerset(esk6_2(X17,X22))))))|~(in(esk6_2(X17,X22),omega)))&(ordinal(esk6_2(X17,X22))&X22=esk6_2(X17,X22)))&(in(esk5_2(X17,X22),succ(X17))&esk5_2(X17,X22)=X22))|~(in(X22,esk4_1(X17)))))|(epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))&~(esk2_1(X17)=esk3_1(X17))))|~(ordinal(X17))),inference(shift_quantors,[status(thm)],[71])).
% fof(73, plain,![X17]:![X22]:![X25]:![X27]:![X28]:![X29]:![X31]:(((((((((epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))|((((in(esk9_5(X17,X22,X28,X29,X31),esk8_4(X17,X22,X28,X29))|~(in(X31,esk8_4(X17,X22,X28,X29))))|(~(ordinal(X29))|~(X22=X29)))|(~(in(X28,succ(X17)))|~(X28=X22)))|in(X22,esk4_1(X17))))|~(ordinal(X17)))&((~(esk2_1(X17)=esk3_1(X17))|((((in(esk9_5(X17,X22,X28,X29,X31),esk8_4(X17,X22,X28,X29))|~(in(X31,esk8_4(X17,X22,X28,X29))))|(~(ordinal(X29))|~(X22=X29)))|(~(in(X28,succ(X17)))|~(X28=X22)))|in(X22,esk4_1(X17))))|~(ordinal(X17))))&(((epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))|((((subset(X31,esk9_5(X17,X22,X28,X29,X31))|~(in(X31,esk8_4(X17,X22,X28,X29))))|(~(ordinal(X29))|~(X22=X29)))|(~(in(X28,succ(X17)))|~(X28=X22)))|in(X22,esk4_1(X17))))|~(ordinal(X17)))&((~(esk2_1(X17)=esk3_1(X17))|((((subset(X31,esk9_5(X17,X22,X28,X29,X31))|~(in(X31,esk8_4(X17,X22,X28,X29))))|(~(ordinal(X29))|~(X22=X29)))|(~(in(X28,succ(X17)))|~(X28=X22)))|in(X22,esk4_1(X17))))|~(ordinal(X17)))))&(((epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))|((((~(esk9_5(X17,X22,X28,X29,X31)=X31)|~(in(X31,esk8_4(X17,X22,X28,X29))))|(~(ordinal(X29))|~(X22=X29)))|(~(in(X28,succ(X17)))|~(X28=X22)))|in(X22,esk4_1(X17))))|~(ordinal(X17)))&((~(esk2_1(X17)=esk3_1(X17))|((((~(esk9_5(X17,X22,X28,X29,X31)=X31)|~(in(X31,esk8_4(X17,X22,X28,X29))))|(~(ordinal(X29))|~(X22=X29)))|(~(in(X28,succ(X17)))|~(X28=X22)))|in(X22,esk4_1(X17))))|~(ordinal(X17)))))&(((epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))|(((~(esk8_4(X17,X22,X28,X29)=empty_set)|(~(ordinal(X29))|~(X22=X29)))|(~(in(X28,succ(X17)))|~(X28=X22)))|in(X22,esk4_1(X17))))|~(ordinal(X17)))&((~(esk2_1(X17)=esk3_1(X17))|(((~(esk8_4(X17,X22,X28,X29)=empty_set)|(~(ordinal(X29))|~(X22=X29)))|(~(in(X28,succ(X17)))|~(X28=X22)))|in(X22,esk4_1(X17))))|~(ordinal(X17)))))&(((epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))|(((element(esk8_4(X17,X22,X28,X29),powerset(powerset(X29)))|(~(ordinal(X29))|~(X22=X29)))|(~(in(X28,succ(X17)))|~(X28=X22)))|in(X22,esk4_1(X17))))|~(ordinal(X17)))&((~(esk2_1(X17)=esk3_1(X17))|(((element(esk8_4(X17,X22,X28,X29),powerset(powerset(X29)))|(~(ordinal(X29))|~(X22=X29)))|(~(in(X28,succ(X17)))|~(X28=X22)))|in(X22,esk4_1(X17))))|~(ordinal(X17)))))&(((epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))|(((in(X29,omega)|(~(ordinal(X29))|~(X22=X29)))|(~(in(X28,succ(X17)))|~(X28=X22)))|in(X22,esk4_1(X17))))|~(ordinal(X17)))&((~(esk2_1(X17)=esk3_1(X17))|(((in(X29,omega)|(~(ordinal(X29))|~(X22=X29)))|(~(in(X28,succ(X17)))|~(X28=X22)))|in(X22,esk4_1(X17))))|~(ordinal(X17)))))&((((((epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))|((((((~(in(X27,X25))|~(subset(esk7_3(X17,X22,X25),X27)))|X27=esk7_3(X17,X22,X25))|X25=empty_set)|~(element(X25,powerset(powerset(esk6_2(X17,X22))))))|~(in(esk6_2(X17,X22),omega)))|~(in(X22,esk4_1(X17)))))|~(ordinal(X17)))&((~(esk2_1(X17)=esk3_1(X17))|((((((~(in(X27,X25))|~(subset(esk7_3(X17,X22,X25),X27)))|X27=esk7_3(X17,X22,X25))|X25=empty_set)|~(element(X25,powerset(powerset(esk6_2(X17,X22))))))|~(in(esk6_2(X17,X22),omega)))|~(in(X22,esk4_1(X17)))))|~(ordinal(X17))))&(((epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))|((((in(esk7_3(X17,X22,X25),X25)|X25=empty_set)|~(element(X25,powerset(powerset(esk6_2(X17,X22))))))|~(in(esk6_2(X17,X22),omega)))|~(in(X22,esk4_1(X17)))))|~(ordinal(X17)))&((~(esk2_1(X17)=esk3_1(X17))|((((in(esk7_3(X17,X22,X25),X25)|X25=empty_set)|~(element(X25,powerset(powerset(esk6_2(X17,X22))))))|~(in(esk6_2(X17,X22),omega)))|~(in(X22,esk4_1(X17)))))|~(ordinal(X17)))))&((((epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))|(ordinal(esk6_2(X17,X22))|~(in(X22,esk4_1(X17)))))|~(ordinal(X17)))&((~(esk2_1(X17)=esk3_1(X17))|(ordinal(esk6_2(X17,X22))|~(in(X22,esk4_1(X17)))))|~(ordinal(X17))))&(((epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))|(X22=esk6_2(X17,X22)|~(in(X22,esk4_1(X17)))))|~(ordinal(X17)))&((~(esk2_1(X17)=esk3_1(X17))|(X22=esk6_2(X17,X22)|~(in(X22,esk4_1(X17)))))|~(ordinal(X17))))))&((((epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))|(in(esk5_2(X17,X22),succ(X17))|~(in(X22,esk4_1(X17)))))|~(ordinal(X17)))&((~(esk2_1(X17)=esk3_1(X17))|(in(esk5_2(X17,X22),succ(X17))|~(in(X22,esk4_1(X17)))))|~(ordinal(X17))))&(((epred1_3(esk3_1(X17),esk2_1(X17),esk1_1(X17))|(esk5_2(X17,X22)=X22|~(in(X22,esk4_1(X17)))))|~(ordinal(X17)))&((~(esk2_1(X17)=esk3_1(X17))|(esk5_2(X17,X22)=X22|~(in(X22,esk4_1(X17)))))|~(ordinal(X17))))))),inference(distribute,[status(thm)],[72])).
% cnf(74,plain,(esk5_2(X1,X2)=X2|~ordinal(X1)|~in(X2,esk4_1(X1))|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[73])).
% cnf(75,plain,(esk5_2(X1,X2)=X2|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~ordinal(X1)|~in(X2,esk4_1(X1))),inference(split_conjunct,[status(thm)],[73])).
% cnf(76,plain,(in(esk5_2(X1,X2),succ(X1))|~ordinal(X1)|~in(X2,esk4_1(X1))|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[73])).
% cnf(77,plain,(in(esk5_2(X1,X2),succ(X1))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~ordinal(X1)|~in(X2,esk4_1(X1))),inference(split_conjunct,[status(thm)],[73])).
% cnf(78,plain,(X2=esk6_2(X1,X2)|~ordinal(X1)|~in(X2,esk4_1(X1))|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[73])).
% cnf(79,plain,(X2=esk6_2(X1,X2)|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~ordinal(X1)|~in(X2,esk4_1(X1))),inference(split_conjunct,[status(thm)],[73])).
% cnf(80,plain,(ordinal(esk6_2(X1,X2))|~ordinal(X1)|~in(X2,esk4_1(X1))|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[73])).
% cnf(81,plain,(ordinal(esk6_2(X1,X2))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~ordinal(X1)|~in(X2,esk4_1(X1))),inference(split_conjunct,[status(thm)],[73])).
% cnf(82,plain,(X3=empty_set|in(esk7_3(X1,X2,X3),X3)|~ordinal(X1)|~in(X2,esk4_1(X1))|~in(esk6_2(X1,X2),omega)|~element(X3,powerset(powerset(esk6_2(X1,X2))))|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[73])).
% cnf(83,plain,(X3=empty_set|in(esk7_3(X1,X2,X3),X3)|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~ordinal(X1)|~in(X2,esk4_1(X1))|~in(esk6_2(X1,X2),omega)|~element(X3,powerset(powerset(esk6_2(X1,X2))))),inference(split_conjunct,[status(thm)],[73])).
% cnf(84,plain,(X3=empty_set|X4=esk7_3(X1,X2,X3)|~ordinal(X1)|~in(X2,esk4_1(X1))|~in(esk6_2(X1,X2),omega)|~element(X3,powerset(powerset(esk6_2(X1,X2))))|~subset(esk7_3(X1,X2,X3),X4)|~in(X4,X3)|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[73])).
% cnf(85,plain,(X3=empty_set|X4=esk7_3(X1,X2,X3)|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~ordinal(X1)|~in(X2,esk4_1(X1))|~in(esk6_2(X1,X2),omega)|~element(X3,powerset(powerset(esk6_2(X1,X2))))|~subset(esk7_3(X1,X2,X3),X4)|~in(X4,X3)),inference(split_conjunct,[status(thm)],[73])).
% cnf(86,plain,(in(X2,esk4_1(X1))|in(X4,omega)|~ordinal(X1)|X3!=X2|~in(X3,succ(X1))|X2!=X4|~ordinal(X4)|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[73])).
% cnf(87,plain,(in(X2,esk4_1(X1))|in(X4,omega)|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~ordinal(X1)|X3!=X2|~in(X3,succ(X1))|X2!=X4|~ordinal(X4)),inference(split_conjunct,[status(thm)],[73])).
% cnf(88,plain,(in(X2,esk4_1(X1))|element(esk8_4(X1,X2,X3,X4),powerset(powerset(X4)))|~ordinal(X1)|X3!=X2|~in(X3,succ(X1))|X2!=X4|~ordinal(X4)|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[73])).
% cnf(89,plain,(in(X2,esk4_1(X1))|element(esk8_4(X1,X2,X3,X4),powerset(powerset(X4)))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~ordinal(X1)|X3!=X2|~in(X3,succ(X1))|X2!=X4|~ordinal(X4)),inference(split_conjunct,[status(thm)],[73])).
% cnf(90,plain,(in(X2,esk4_1(X1))|~ordinal(X1)|X3!=X2|~in(X3,succ(X1))|X2!=X4|~ordinal(X4)|esk8_4(X1,X2,X3,X4)!=empty_set|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[73])).
% cnf(91,plain,(in(X2,esk4_1(X1))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~ordinal(X1)|X3!=X2|~in(X3,succ(X1))|X2!=X4|~ordinal(X4)|esk8_4(X1,X2,X3,X4)!=empty_set),inference(split_conjunct,[status(thm)],[73])).
% cnf(92,plain,(in(X2,esk4_1(X1))|~ordinal(X1)|X3!=X2|~in(X3,succ(X1))|X2!=X4|~ordinal(X4)|~in(X5,esk8_4(X1,X2,X3,X4))|esk9_5(X1,X2,X3,X4,X5)!=X5|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[73])).
% cnf(93,plain,(in(X2,esk4_1(X1))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~ordinal(X1)|X3!=X2|~in(X3,succ(X1))|X2!=X4|~ordinal(X4)|~in(X5,esk8_4(X1,X2,X3,X4))|esk9_5(X1,X2,X3,X4,X5)!=X5),inference(split_conjunct,[status(thm)],[73])).
% cnf(94,plain,(in(X2,esk4_1(X1))|subset(X5,esk9_5(X1,X2,X3,X4,X5))|~ordinal(X1)|X3!=X2|~in(X3,succ(X1))|X2!=X4|~ordinal(X4)|~in(X5,esk8_4(X1,X2,X3,X4))|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[73])).
% cnf(95,plain,(in(X2,esk4_1(X1))|subset(X5,esk9_5(X1,X2,X3,X4,X5))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~ordinal(X1)|X3!=X2|~in(X3,succ(X1))|X2!=X4|~ordinal(X4)|~in(X5,esk8_4(X1,X2,X3,X4))),inference(split_conjunct,[status(thm)],[73])).
% cnf(96,plain,(in(X2,esk4_1(X1))|in(esk9_5(X1,X2,X3,X4,X5),esk8_4(X1,X2,X3,X4))|~ordinal(X1)|X3!=X2|~in(X3,succ(X1))|X2!=X4|~ordinal(X4)|~in(X5,esk8_4(X1,X2,X3,X4))|esk2_1(X1)!=esk3_1(X1)),inference(split_conjunct,[status(thm)],[73])).
% cnf(97,plain,(in(X2,esk4_1(X1))|in(esk9_5(X1,X2,X3,X4,X5),esk8_4(X1,X2,X3,X4))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~ordinal(X1)|X3!=X2|~in(X3,succ(X1))|X2!=X4|~ordinal(X4)|~in(X5,esk8_4(X1,X2,X3,X4))),inference(split_conjunct,[status(thm)],[73])).
% fof(291, negated_conjecture,?[X1]:(ordinal(X1)&![X2]:?[X3]:((~(in(X3,X2))|(~(in(X3,succ(X1)))|![X4]:((~(ordinal(X4))|~(X3=X4))|(in(X4,omega)&?[X5]:(element(X5,powerset(powerset(X4)))&(~(X5=empty_set)&![X6]:(~(in(X6,X5))|?[X7]:((in(X7,X5)&subset(X6,X7))&~(X7=X6)))))))))&(in(X3,X2)|(in(X3,succ(X1))&?[X4]:((ordinal(X4)&X3=X4)&(~(in(X4,omega))|![X5]:(~(element(X5,powerset(powerset(X4))))|(X5=empty_set|?[X6]:(in(X6,X5)&![X7]:((~(in(X7,X5))|~(subset(X6,X7)))|X7=X6)))))))))),inference(fof_nnf,[status(thm)],[48])).
% fof(292, negated_conjecture,?[X8]:(ordinal(X8)&![X9]:?[X10]:((~(in(X10,X9))|(~(in(X10,succ(X8)))|![X11]:((~(ordinal(X11))|~(X10=X11))|(in(X11,omega)&?[X12]:(element(X12,powerset(powerset(X11)))&(~(X12=empty_set)&![X13]:(~(in(X13,X12))|?[X14]:((in(X14,X12)&subset(X13,X14))&~(X14=X13)))))))))&(in(X10,X9)|(in(X10,succ(X8))&?[X15]:((ordinal(X15)&X10=X15)&(~(in(X15,omega))|![X16]:(~(element(X16,powerset(powerset(X15))))|(X16=empty_set|?[X17]:(in(X17,X16)&![X18]:((~(in(X18,X16))|~(subset(X17,X18)))|X18=X17)))))))))),inference(variable_rename,[status(thm)],[291])).
% fof(293, negated_conjecture,(ordinal(esk28_0)&![X9]:((~(in(esk29_1(X9),X9))|(~(in(esk29_1(X9),succ(esk28_0)))|![X11]:((~(ordinal(X11))|~(esk29_1(X9)=X11))|(in(X11,omega)&(element(esk30_2(X9,X11),powerset(powerset(X11)))&(~(esk30_2(X9,X11)=empty_set)&![X13]:(~(in(X13,esk30_2(X9,X11)))|((in(esk31_3(X9,X11,X13),esk30_2(X9,X11))&subset(X13,esk31_3(X9,X11,X13)))&~(esk31_3(X9,X11,X13)=X13)))))))))&(in(esk29_1(X9),X9)|(in(esk29_1(X9),succ(esk28_0))&((ordinal(esk32_1(X9))&esk29_1(X9)=esk32_1(X9))&(~(in(esk32_1(X9),omega))|![X16]:(~(element(X16,powerset(powerset(esk32_1(X9)))))|(X16=empty_set|(in(esk33_2(X9,X16),X16)&![X18]:((~(in(X18,X16))|~(subset(esk33_2(X9,X16),X18)))|X18=esk33_2(X9,X16))))))))))),inference(skolemize,[status(esa)],[292])).
% fof(294, negated_conjecture,![X9]:![X11]:![X13]:![X16]:![X18]:(((((((((((~(in(X18,X16))|~(subset(esk33_2(X9,X16),X18)))|X18=esk33_2(X9,X16))&in(esk33_2(X9,X16),X16))|X16=empty_set)|~(element(X16,powerset(powerset(esk32_1(X9))))))|~(in(esk32_1(X9),omega)))&(ordinal(esk32_1(X9))&esk29_1(X9)=esk32_1(X9)))&in(esk29_1(X9),succ(esk28_0)))|in(esk29_1(X9),X9))&(((((((~(in(X13,esk30_2(X9,X11)))|((in(esk31_3(X9,X11,X13),esk30_2(X9,X11))&subset(X13,esk31_3(X9,X11,X13)))&~(esk31_3(X9,X11,X13)=X13)))&~(esk30_2(X9,X11)=empty_set))&element(esk30_2(X9,X11),powerset(powerset(X11))))&in(X11,omega))|(~(ordinal(X11))|~(esk29_1(X9)=X11)))|~(in(esk29_1(X9),succ(esk28_0))))|~(in(esk29_1(X9),X9))))&ordinal(esk28_0)),inference(shift_quantors,[status(thm)],[293])).
% fof(295, negated_conjecture,![X9]:![X11]:![X13]:![X16]:![X18]:(((((((((((~(in(X18,X16))|~(subset(esk33_2(X9,X16),X18)))|X18=esk33_2(X9,X16))|X16=empty_set)|~(element(X16,powerset(powerset(esk32_1(X9))))))|~(in(esk32_1(X9),omega)))|in(esk29_1(X9),X9))&((((in(esk33_2(X9,X16),X16)|X16=empty_set)|~(element(X16,powerset(powerset(esk32_1(X9))))))|~(in(esk32_1(X9),omega)))|in(esk29_1(X9),X9)))&((ordinal(esk32_1(X9))|in(esk29_1(X9),X9))&(esk29_1(X9)=esk32_1(X9)|in(esk29_1(X9),X9))))&(in(esk29_1(X9),succ(esk28_0))|in(esk29_1(X9),X9)))&(((((((((in(esk31_3(X9,X11,X13),esk30_2(X9,X11))|~(in(X13,esk30_2(X9,X11))))|(~(ordinal(X11))|~(esk29_1(X9)=X11)))|~(in(esk29_1(X9),succ(esk28_0))))|~(in(esk29_1(X9),X9)))&((((subset(X13,esk31_3(X9,X11,X13))|~(in(X13,esk30_2(X9,X11))))|(~(ordinal(X11))|~(esk29_1(X9)=X11)))|~(in(esk29_1(X9),succ(esk28_0))))|~(in(esk29_1(X9),X9))))&((((~(esk31_3(X9,X11,X13)=X13)|~(in(X13,esk30_2(X9,X11))))|(~(ordinal(X11))|~(esk29_1(X9)=X11)))|~(in(esk29_1(X9),succ(esk28_0))))|~(in(esk29_1(X9),X9))))&(((~(esk30_2(X9,X11)=empty_set)|(~(ordinal(X11))|~(esk29_1(X9)=X11)))|~(in(esk29_1(X9),succ(esk28_0))))|~(in(esk29_1(X9),X9))))&(((element(esk30_2(X9,X11),powerset(powerset(X11)))|(~(ordinal(X11))|~(esk29_1(X9)=X11)))|~(in(esk29_1(X9),succ(esk28_0))))|~(in(esk29_1(X9),X9))))&(((in(X11,omega)|(~(ordinal(X11))|~(esk29_1(X9)=X11)))|~(in(esk29_1(X9),succ(esk28_0))))|~(in(esk29_1(X9),X9)))))&ordinal(esk28_0)),inference(distribute,[status(thm)],[294])).
% cnf(296,negated_conjecture,(ordinal(esk28_0)),inference(split_conjunct,[status(thm)],[295])).
% cnf(297,negated_conjecture,(in(X2,omega)|~in(esk29_1(X1),X1)|~in(esk29_1(X1),succ(esk28_0))|esk29_1(X1)!=X2|~ordinal(X2)),inference(split_conjunct,[status(thm)],[295])).
% cnf(298,negated_conjecture,(element(esk30_2(X1,X2),powerset(powerset(X2)))|~in(esk29_1(X1),X1)|~in(esk29_1(X1),succ(esk28_0))|esk29_1(X1)!=X2|~ordinal(X2)),inference(split_conjunct,[status(thm)],[295])).
% cnf(299,negated_conjecture,(~in(esk29_1(X1),X1)|~in(esk29_1(X1),succ(esk28_0))|esk29_1(X1)!=X2|~ordinal(X2)|esk30_2(X1,X2)!=empty_set),inference(split_conjunct,[status(thm)],[295])).
% cnf(300,negated_conjecture,(~in(esk29_1(X1),X1)|~in(esk29_1(X1),succ(esk28_0))|esk29_1(X1)!=X2|~ordinal(X2)|~in(X3,esk30_2(X1,X2))|esk31_3(X1,X2,X3)!=X3),inference(split_conjunct,[status(thm)],[295])).
% cnf(301,negated_conjecture,(subset(X3,esk31_3(X1,X2,X3))|~in(esk29_1(X1),X1)|~in(esk29_1(X1),succ(esk28_0))|esk29_1(X1)!=X2|~ordinal(X2)|~in(X3,esk30_2(X1,X2))),inference(split_conjunct,[status(thm)],[295])).
% cnf(302,negated_conjecture,(in(esk31_3(X1,X2,X3),esk30_2(X1,X2))|~in(esk29_1(X1),X1)|~in(esk29_1(X1),succ(esk28_0))|esk29_1(X1)!=X2|~ordinal(X2)|~in(X3,esk30_2(X1,X2))),inference(split_conjunct,[status(thm)],[295])).
% cnf(303,negated_conjecture,(in(esk29_1(X1),X1)|in(esk29_1(X1),succ(esk28_0))),inference(split_conjunct,[status(thm)],[295])).
% cnf(304,negated_conjecture,(in(esk29_1(X1),X1)|esk29_1(X1)=esk32_1(X1)),inference(split_conjunct,[status(thm)],[295])).
% cnf(305,negated_conjecture,(in(esk29_1(X1),X1)|ordinal(esk32_1(X1))),inference(split_conjunct,[status(thm)],[295])).
% cnf(306,negated_conjecture,(in(esk29_1(X1),X1)|X2=empty_set|in(esk33_2(X1,X2),X2)|~in(esk32_1(X1),omega)|~element(X2,powerset(powerset(esk32_1(X1))))),inference(split_conjunct,[status(thm)],[295])).
% cnf(307,negated_conjecture,(in(esk29_1(X1),X1)|X2=empty_set|X3=esk33_2(X1,X2)|~in(esk32_1(X1),omega)|~element(X2,powerset(powerset(esk32_1(X1))))|~subset(esk33_2(X1,X2),X3)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[295])).
% fof(308, plain,![X2]:![X3]:![X4]:(~(epred1_3(X4,X3,X2))|(((X2=X3&?[X5]:((ordinal(X5)&X3=X5)&(~(in(X5,omega))|![X6]:(~(element(X6,powerset(powerset(X5))))|(X6=empty_set|?[X7]:(in(X7,X6)&![X8]:((~(in(X8,X6))|~(subset(X7,X8)))|X8=X7)))))))&X2=X4)&?[X9]:((ordinal(X9)&X4=X9)&(~(in(X9,omega))|![X10]:(~(element(X10,powerset(powerset(X9))))|(X10=empty_set|?[X11]:(in(X11,X10)&![X12]:((~(in(X12,X10))|~(subset(X11,X12)))|X12=X11)))))))),inference(fof_nnf,[status(thm)],[62])).
% fof(309, plain,![X13]:![X14]:![X15]:(~(epred1_3(X15,X14,X13))|(((X13=X14&?[X16]:((ordinal(X16)&X14=X16)&(~(in(X16,omega))|![X17]:(~(element(X17,powerset(powerset(X16))))|(X17=empty_set|?[X18]:(in(X18,X17)&![X19]:((~(in(X19,X17))|~(subset(X18,X19)))|X19=X18)))))))&X13=X15)&?[X20]:((ordinal(X20)&X15=X20)&(~(in(X20,omega))|![X21]:(~(element(X21,powerset(powerset(X20))))|(X21=empty_set|?[X22]:(in(X22,X21)&![X23]:((~(in(X23,X21))|~(subset(X22,X23)))|X23=X22)))))))),inference(variable_rename,[status(thm)],[308])).
% fof(310, plain,![X13]:![X14]:![X15]:(~(epred1_3(X15,X14,X13))|(((X13=X14&((ordinal(esk34_3(X13,X14,X15))&X14=esk34_3(X13,X14,X15))&(~(in(esk34_3(X13,X14,X15),omega))|![X17]:(~(element(X17,powerset(powerset(esk34_3(X13,X14,X15)))))|(X17=empty_set|(in(esk35_4(X13,X14,X15,X17),X17)&![X19]:((~(in(X19,X17))|~(subset(esk35_4(X13,X14,X15,X17),X19)))|X19=esk35_4(X13,X14,X15,X17))))))))&X13=X15)&((ordinal(esk36_3(X13,X14,X15))&X15=esk36_3(X13,X14,X15))&(~(in(esk36_3(X13,X14,X15),omega))|![X21]:(~(element(X21,powerset(powerset(esk36_3(X13,X14,X15)))))|(X21=empty_set|(in(esk37_4(X13,X14,X15,X21),X21)&![X23]:((~(in(X23,X21))|~(subset(esk37_4(X13,X14,X15,X21),X23)))|X23=esk37_4(X13,X14,X15,X21))))))))),inference(skolemize,[status(esa)],[309])).
% fof(311, plain,![X13]:![X14]:![X15]:![X17]:![X19]:![X21]:![X23]:(((((((((~(in(X23,X21))|~(subset(esk37_4(X13,X14,X15,X21),X23)))|X23=esk37_4(X13,X14,X15,X21))&in(esk37_4(X13,X14,X15,X21),X21))|X21=empty_set)|~(element(X21,powerset(powerset(esk36_3(X13,X14,X15))))))|~(in(esk36_3(X13,X14,X15),omega)))&(ordinal(esk36_3(X13,X14,X15))&X15=esk36_3(X13,X14,X15)))&(((((((((~(in(X19,X17))|~(subset(esk35_4(X13,X14,X15,X17),X19)))|X19=esk35_4(X13,X14,X15,X17))&in(esk35_4(X13,X14,X15,X17),X17))|X17=empty_set)|~(element(X17,powerset(powerset(esk34_3(X13,X14,X15))))))|~(in(esk34_3(X13,X14,X15),omega)))&(ordinal(esk34_3(X13,X14,X15))&X14=esk34_3(X13,X14,X15)))&X13=X14)&X13=X15))|~(epred1_3(X15,X14,X13))),inference(shift_quantors,[status(thm)],[310])).
% fof(312, plain,![X13]:![X14]:![X15]:![X17]:![X19]:![X21]:![X23]:(((((((((~(in(X23,X21))|~(subset(esk37_4(X13,X14,X15,X21),X23)))|X23=esk37_4(X13,X14,X15,X21))|X21=empty_set)|~(element(X21,powerset(powerset(esk36_3(X13,X14,X15))))))|~(in(esk36_3(X13,X14,X15),omega)))|~(epred1_3(X15,X14,X13)))&((((in(esk37_4(X13,X14,X15,X21),X21)|X21=empty_set)|~(element(X21,powerset(powerset(esk36_3(X13,X14,X15))))))|~(in(esk36_3(X13,X14,X15),omega)))|~(epred1_3(X15,X14,X13))))&((ordinal(esk36_3(X13,X14,X15))|~(epred1_3(X15,X14,X13)))&(X15=esk36_3(X13,X14,X15)|~(epred1_3(X15,X14,X13)))))&((((((((((~(in(X19,X17))|~(subset(esk35_4(X13,X14,X15,X17),X19)))|X19=esk35_4(X13,X14,X15,X17))|X17=empty_set)|~(element(X17,powerset(powerset(esk34_3(X13,X14,X15))))))|~(in(esk34_3(X13,X14,X15),omega)))|~(epred1_3(X15,X14,X13)))&((((in(esk35_4(X13,X14,X15,X17),X17)|X17=empty_set)|~(element(X17,powerset(powerset(esk34_3(X13,X14,X15))))))|~(in(esk34_3(X13,X14,X15),omega)))|~(epred1_3(X15,X14,X13))))&((ordinal(esk34_3(X13,X14,X15))|~(epred1_3(X15,X14,X13)))&(X14=esk34_3(X13,X14,X15)|~(epred1_3(X15,X14,X13)))))&(X13=X14|~(epred1_3(X15,X14,X13))))&(X13=X15|~(epred1_3(X15,X14,X13))))),inference(distribute,[status(thm)],[311])).
% cnf(313,plain,(X3=X1|~epred1_3(X1,X2,X3)),inference(split_conjunct,[status(thm)],[312])).
% cnf(314,plain,(X3=X2|~epred1_3(X1,X2,X3)),inference(split_conjunct,[status(thm)],[312])).
% cnf(325,negated_conjecture,(esk30_2(X1,esk29_1(X1))!=empty_set|~ordinal(esk29_1(X1))|~in(esk29_1(X1),succ(esk28_0))|~in(esk29_1(X1),X1)),inference(er,[status(thm)],[299,theory(equality)])).
% cnf(326,negated_conjecture,(esk31_3(X1,esk29_1(X1),X2)!=X2|~ordinal(esk29_1(X1))|~in(esk29_1(X1),succ(esk28_0))|~in(X2,esk30_2(X1,esk29_1(X1)))|~in(esk29_1(X1),X1)),inference(er,[status(thm)],[300,theory(equality)])).
% cnf(401,negated_conjecture,(esk5_2(X1,esk29_1(esk4_1(X1)))=esk29_1(esk4_1(X1))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|esk29_1(esk4_1(X1))=esk32_1(esk4_1(X1))|~ordinal(X1)),inference(spm,[status(thm)],[75,304,theory(equality)])).
% cnf(403,negated_conjecture,(esk5_2(X1,esk29_1(esk4_1(X1)))=esk29_1(esk4_1(X1))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(esk29_1(esk4_1(X1)),succ(esk28_0))|~ordinal(X1)),inference(spm,[status(thm)],[75,303,theory(equality)])).
% cnf(404,negated_conjecture,(esk6_2(X1,esk29_1(esk4_1(X1)))=esk29_1(esk4_1(X1))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|esk29_1(esk4_1(X1))=esk32_1(esk4_1(X1))|~ordinal(X1)),inference(spm,[status(thm)],[79,304,theory(equality)])).
% cnf(405,negated_conjecture,(esk6_2(X1,esk29_1(esk4_1(X1)))=esk29_1(esk4_1(X1))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|ordinal(esk32_1(esk4_1(X1)))|~ordinal(X1)),inference(spm,[status(thm)],[79,305,theory(equality)])).
% cnf(407,negated_conjecture,(in(esk29_1(X1),omega)|~ordinal(esk29_1(X1))|~in(esk29_1(X1),succ(esk28_0))|~in(esk29_1(X1),X1)),inference(er,[status(thm)],[297,theory(equality)])).
% cnf(410,negated_conjecture,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|ordinal(esk6_2(X1,esk29_1(esk4_1(X1))))|esk29_1(esk4_1(X1))=esk32_1(esk4_1(X1))|~ordinal(X1)),inference(spm,[status(thm)],[81,304,theory(equality)])).
% cnf(411,negated_conjecture,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|ordinal(esk6_2(X1,esk29_1(esk4_1(X1))))|ordinal(esk32_1(esk4_1(X1)))|~ordinal(X1)),inference(spm,[status(thm)],[81,305,theory(equality)])).
% cnf(414,negated_conjecture,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|ordinal(esk29_1(esk4_1(X1)))|ordinal(esk32_1(esk4_1(X1)))|~ordinal(X1)),inference(spm,[status(thm)],[411,405,theory(equality)])).
% cnf(418,negated_conjecture,(esk29_1(esk4_1(X1))=esk32_1(esk4_1(X1))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|ordinal(esk29_1(esk4_1(X1)))|~ordinal(X1)),inference(spm,[status(thm)],[410,404,theory(equality)])).
% cnf(421,negated_conjecture,(esk29_1(esk4_1(X1))=esk32_1(esk4_1(X1))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|esk31_3(esk4_1(X1),esk29_1(esk4_1(X1)),X2)!=X2|~in(esk29_1(esk4_1(X1)),succ(esk28_0))|~in(X2,esk30_2(esk4_1(X1),esk29_1(esk4_1(X1))))|~in(esk29_1(esk4_1(X1)),esk4_1(X1))|~ordinal(X1)),inference(spm,[status(thm)],[326,418,theory(equality)])).
% cnf(422,negated_conjecture,(in(esk29_1(esk4_1(X1)),omega)|esk29_1(esk4_1(X1))=esk32_1(esk4_1(X1))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~in(esk29_1(esk4_1(X1)),succ(esk28_0))|~in(esk29_1(esk4_1(X1)),esk4_1(X1))|~ordinal(X1)),inference(spm,[status(thm)],[407,418,theory(equality)])).
% cnf(423,negated_conjecture,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(esk5_2(X1,esk29_1(esk4_1(X1))),succ(X1))|esk29_1(esk4_1(X1))=esk32_1(esk4_1(X1))|~ordinal(X1)),inference(spm,[status(thm)],[77,304,theory(equality)])).
% cnf(425,negated_conjecture,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(esk5_2(X1,esk29_1(esk4_1(X1))),succ(X1))|in(esk29_1(esk4_1(X1)),succ(esk28_0))|~ordinal(X1)),inference(spm,[status(thm)],[77,303,theory(equality)])).
% cnf(426,plain,(in(X1,esk4_1(X2))|esk8_4(X2,X1,X3,X1)!=empty_set|esk2_1(X2)!=esk3_1(X2)|X1!=X3|~ordinal(X1)|~ordinal(X2)|~in(X3,succ(X2))),inference(er,[status(thm)],[90,theory(equality)])).
% cnf(427,plain,(in(X1,esk4_1(X2))|esk8_4(X2,X1,X1,X1)!=empty_set|esk2_1(X2)!=esk3_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,succ(X2))),inference(er,[status(thm)],[426,theory(equality)])).
% cnf(428,negated_conjecture,(subset(X1,esk31_3(X2,esk29_1(X2),X1))|~ordinal(esk29_1(X2))|~in(esk29_1(X2),succ(esk28_0))|~in(X1,esk30_2(X2,esk29_1(X2)))|~in(esk29_1(X2),X2)),inference(er,[status(thm)],[301,theory(equality)])).
% cnf(429,negated_conjecture,(subset(X1,esk31_3(esk4_1(X2),esk29_1(esk4_1(X2)),X1))|esk29_1(esk4_1(X2))=esk32_1(esk4_1(X2))|epred1_3(esk3_1(X2),esk2_1(X2),esk1_1(X2))|~in(esk29_1(esk4_1(X2)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(X2),esk29_1(esk4_1(X2))))|~in(esk29_1(esk4_1(X2)),esk4_1(X2))|~ordinal(X2)),inference(spm,[status(thm)],[428,418,theory(equality)])).
% cnf(431,plain,(in(X1,esk4_1(X2))|in(X1,omega)|esk2_1(X2)!=esk3_1(X2)|X1!=X3|~ordinal(X1)|~ordinal(X2)|~in(X3,succ(X2))),inference(er,[status(thm)],[86,theory(equality)])).
% cnf(432,plain,(in(X1,esk4_1(X2))|in(X1,omega)|esk2_1(X2)!=esk3_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X1,succ(X2))),inference(er,[status(thm)],[431,theory(equality)])).
% cnf(442,negated_conjecture,(esk29_1(esk4_1(X1))=esk32_1(esk4_1(X1))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(esk29_1(esk4_1(X1)),succ(X1))|~ordinal(X1)),inference(spm,[status(thm)],[423,401,theory(equality)])).
% cnf(445,negated_conjecture,(element(esk30_2(X1,esk29_1(X1)),powerset(powerset(esk29_1(X1))))|~ordinal(esk29_1(X1))|~in(esk29_1(X1),succ(esk28_0))|~in(esk29_1(X1),X1)),inference(er,[status(thm)],[298,theory(equality)])).
% cnf(452,negated_conjecture,(element(esk30_2(esk4_1(X1),esk29_1(esk4_1(X1))),powerset(powerset(esk29_1(esk4_1(X1)))))|esk29_1(esk4_1(X1))=esk32_1(esk4_1(X1))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~in(esk29_1(esk4_1(X1)),succ(esk28_0))|~in(esk29_1(esk4_1(X1)),esk4_1(X1))|~ordinal(X1)),inference(spm,[status(thm)],[445,418,theory(equality)])).
% cnf(465,negated_conjecture,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(esk29_1(esk4_1(X1)),succ(X1))|in(esk29_1(esk4_1(X1)),succ(esk28_0))|~ordinal(X1)),inference(spm,[status(thm)],[425,403,theory(equality)])).
% cnf(466,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~ordinal(esk28_0)),inference(ef,[status(thm)],[465,theory(equality)])).
% cnf(470,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|$false),inference(rw,[status(thm)],[466,296,theory(equality)])).
% cnf(471,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))),inference(cn,[status(thm)],[470,theory(equality)])).
% cnf(475,plain,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(X2,esk4_1(X1))|in(X2,omega)|X2!=X3|~ordinal(X2)|~ordinal(X1)|~in(X3,succ(X1))),inference(er,[status(thm)],[87,theory(equality)])).
% cnf(476,plain,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(X2,esk4_1(X1))|in(X2,omega)|~ordinal(X2)|~ordinal(X1)|~in(X2,succ(X1))),inference(er,[status(thm)],[475,theory(equality)])).
% cnf(491,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(X1),esk4_1(esk28_0))|in(esk29_1(X1),omega)|in(esk29_1(X1),X1)|~ordinal(esk29_1(X1))|~ordinal(esk28_0)),inference(spm,[status(thm)],[476,303,theory(equality)])).
% cnf(511,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(X1),esk4_1(esk28_0))|in(esk29_1(X1),omega)|in(esk29_1(X1),X1)|~ordinal(esk29_1(X1))|$false),inference(rw,[status(thm)],[491,296,theory(equality)])).
% cnf(512,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(X1),esk4_1(esk28_0))|in(esk29_1(X1),omega)|in(esk29_1(X1),X1)|~ordinal(esk29_1(X1))),inference(cn,[status(thm)],[511,theory(equality)])).
% cnf(528,plain,(in(X1,esk4_1(X2))|esk9_5(X2,X1,X3,X1,X4)!=X4|esk2_1(X2)!=esk3_1(X2)|X1!=X3|~ordinal(X1)|~ordinal(X2)|~in(X4,esk8_4(X2,X1,X3,X1))|~in(X3,succ(X2))),inference(er,[status(thm)],[92,theory(equality)])).
% cnf(529,plain,(in(X1,esk4_1(X2))|esk9_5(X2,X1,X1,X1,X3)!=X3|esk2_1(X2)!=esk3_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X3,esk8_4(X2,X1,X1,X1))|~in(X1,succ(X2))),inference(er,[status(thm)],[528,theory(equality)])).
% cnf(556,plain,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(X2,esk4_1(X1))|esk8_4(X1,X2,X3,X2)!=empty_set|X2!=X3|~ordinal(X2)|~ordinal(X1)|~in(X3,succ(X1))),inference(er,[status(thm)],[91,theory(equality)])).
% cnf(557,plain,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(X2,esk4_1(X1))|esk8_4(X1,X2,X2,X2)!=empty_set|~ordinal(X2)|~ordinal(X1)|~in(X2,succ(X1))),inference(er,[status(thm)],[556,theory(equality)])).
% cnf(559,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),omega)|~ordinal(esk28_0)|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[422,442,theory(equality)])).
% cnf(568,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),omega)|$false|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[559,296,theory(equality)])).
% cnf(569,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),omega)|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[568,theory(equality)])).
% cnf(574,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),omega)),inference(spm,[status(thm)],[569,304,theory(equality)])).
% cnf(578,negated_conjecture,(in(esk31_3(X1,esk29_1(X1),X2),esk30_2(X1,esk29_1(X1)))|~ordinal(esk29_1(X1))|~in(esk29_1(X1),succ(esk28_0))|~in(X2,esk30_2(X1,esk29_1(X1)))|~in(esk29_1(X1),X1)),inference(er,[status(thm)],[302,theory(equality)])).
% cnf(588,negated_conjecture,(in(esk31_3(esk4_1(X1),esk29_1(esk4_1(X1)),X2),esk30_2(esk4_1(X1),esk29_1(esk4_1(X1))))|esk29_1(esk4_1(X1))=esk32_1(esk4_1(X1))|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~in(esk29_1(esk4_1(X1)),succ(esk28_0))|~in(X2,esk30_2(esk4_1(X1),esk29_1(esk4_1(X1))))|~in(esk29_1(esk4_1(X1)),esk4_1(X1))|~ordinal(X1)),inference(spm,[status(thm)],[578,418,theory(equality)])).
% cnf(591,plain,(in(X1,esk4_1(X2))|subset(X3,esk9_5(X2,X1,X4,X1,X3))|esk2_1(X2)!=esk3_1(X2)|X1!=X4|~ordinal(X1)|~ordinal(X2)|~in(X3,esk8_4(X2,X1,X4,X1))|~in(X4,succ(X2))),inference(er,[status(thm)],[94,theory(equality)])).
% cnf(592,plain,(in(X1,esk4_1(X2))|subset(X3,esk9_5(X2,X1,X1,X1,X3))|esk2_1(X2)!=esk3_1(X2)|~ordinal(X1)|~ordinal(X2)|~in(X3,esk8_4(X2,X1,X1,X1))|~in(X1,succ(X2))),inference(er,[status(thm)],[591,theory(equality)])).
% cnf(612,plain,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(X2,esk4_1(X1))|esk9_5(X1,X2,X3,X2,X4)!=X4|X2!=X3|~ordinal(X2)|~ordinal(X1)|~in(X4,esk8_4(X1,X2,X3,X2))|~in(X3,succ(X1))),inference(er,[status(thm)],[93,theory(equality)])).
% cnf(613,plain,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(X2,esk4_1(X1))|esk9_5(X1,X2,X2,X2,X3)!=X3|~ordinal(X2)|~ordinal(X1)|~in(X3,esk8_4(X1,X2,X2,X2))|~in(X2,succ(X1))),inference(er,[status(thm)],[612,theory(equality)])).
% cnf(628,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(X1),esk4_1(esk28_0))|in(esk29_1(X1),X1)|esk9_5(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1),X2)!=X2|~ordinal(esk29_1(X1))|~ordinal(esk28_0)|~in(X2,esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)))),inference(spm,[status(thm)],[613,303,theory(equality)])).
% cnf(648,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(X1),esk4_1(esk28_0))|in(esk29_1(X1),X1)|esk9_5(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1),X2)!=X2|~ordinal(esk29_1(X1))|$false|~in(X2,esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)))),inference(rw,[status(thm)],[628,296,theory(equality)])).
% cnf(649,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(X1),esk4_1(esk28_0))|in(esk29_1(X1),X1)|esk9_5(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1),X2)!=X2|~ordinal(esk29_1(X1))|~in(X2,esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)))),inference(cn,[status(thm)],[648,theory(equality)])).
% cnf(651,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1)!=X1|~ordinal(esk28_0)|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[421,442,theory(equality)])).
% cnf(660,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1)!=X1|$false|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[651,296,theory(equality)])).
% cnf(661,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[660,theory(equality)])).
% cnf(669,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[661,304,theory(equality)])).
% cnf(672,plain,(element(esk8_4(X1,X2,X3,X2),powerset(powerset(X2)))|in(X2,esk4_1(X1))|esk2_1(X1)!=esk3_1(X1)|X2!=X3|~ordinal(X2)|~ordinal(X1)|~in(X3,succ(X1))),inference(er,[status(thm)],[88,theory(equality)])).
% cnf(673,plain,(element(esk8_4(X1,X2,X2,X2),powerset(powerset(X2)))|in(X2,esk4_1(X1))|esk2_1(X1)!=esk3_1(X1)|~ordinal(X2)|~ordinal(X1)|~in(X2,succ(X1))),inference(er,[status(thm)],[672,theory(equality)])).
% cnf(683,negated_conjecture,(empty_set=X1|epred1_3(esk3_1(X2),esk2_1(X2),esk1_1(X2))|in(esk7_3(X2,esk29_1(esk4_1(X2)),X1),X1)|esk29_1(esk4_1(X2))=esk32_1(esk4_1(X2))|~element(X1,powerset(powerset(esk6_2(X2,esk29_1(esk4_1(X2))))))|~ordinal(X2)|~in(esk6_2(X2,esk29_1(esk4_1(X2))),omega)),inference(spm,[status(thm)],[83,304,theory(equality)])).
% cnf(739,plain,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(X2,esk4_1(X1))|subset(X3,esk9_5(X1,X2,X4,X2,X3))|X2!=X4|~ordinal(X2)|~ordinal(X1)|~in(X3,esk8_4(X1,X2,X4,X2))|~in(X4,succ(X1))),inference(er,[status(thm)],[95,theory(equality)])).
% cnf(740,plain,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(X2,esk4_1(X1))|subset(X3,esk9_5(X1,X2,X2,X2,X3))|~ordinal(X2)|~ordinal(X1)|~in(X3,esk8_4(X1,X2,X2,X2))|~in(X2,succ(X1))),inference(er,[status(thm)],[739,theory(equality)])).
% cnf(755,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(X1),esk4_1(esk28_0))|subset(X2,esk9_5(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1),X2))|in(esk29_1(X1),X1)|~ordinal(esk29_1(X1))|~ordinal(esk28_0)|~in(X2,esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)))),inference(spm,[status(thm)],[740,303,theory(equality)])).
% cnf(775,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(X1),esk4_1(esk28_0))|subset(X2,esk9_5(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1),X2))|in(esk29_1(X1),X1)|~ordinal(esk29_1(X1))|$false|~in(X2,esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)))),inference(rw,[status(thm)],[755,296,theory(equality)])).
% cnf(776,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(X1),esk4_1(esk28_0))|subset(X2,esk9_5(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1),X2))|in(esk29_1(X1),X1)|~ordinal(esk29_1(X1))|~in(X2,esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)))),inference(cn,[status(thm)],[775,theory(equality)])).
% cnf(793,negated_conjecture,(esk29_1(esk4_1(X1))=esk32_1(esk4_1(X1))|empty_set=X2|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(esk7_3(X1,esk29_1(esk4_1(X1)),X2),X2)|~element(X2,powerset(powerset(esk29_1(esk4_1(X1)))))|~ordinal(X1)|~in(esk29_1(esk4_1(X1)),omega)),inference(spm,[status(thm)],[683,404,theory(equality)])).
% cnf(796,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))|~ordinal(esk28_0)),inference(spm,[status(thm)],[793,574,theory(equality)])).
% cnf(798,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))|$false),inference(rw,[status(thm)],[796,296,theory(equality)])).
% cnf(799,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))),inference(cn,[status(thm)],[798,theory(equality)])).
% cnf(813,negated_conjecture,(esk7_3(X1,esk29_1(esk4_1(X1)),X2)=X3|empty_set=X2|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|esk29_1(esk4_1(X1))=esk32_1(esk4_1(X1))|~element(X2,powerset(powerset(esk6_2(X1,esk29_1(esk4_1(X1))))))|~ordinal(X1)|~in(esk6_2(X1,esk29_1(esk4_1(X1))),omega)|~in(X3,X2)|~subset(esk7_3(X1,esk29_1(esk4_1(X1)),X2),X3)),inference(spm,[status(thm)],[85,304,theory(equality)])).
% cnf(835,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|subset(X1,esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1))|~ordinal(esk28_0)|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[429,442,theory(equality)])).
% cnf(844,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|subset(X1,esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1))|$false|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[835,296,theory(equality)])).
% cnf(845,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|subset(X1,esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[844,theory(equality)])).
% cnf(851,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|element(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))),powerset(powerset(esk29_1(esk4_1(esk28_0)))))|~ordinal(esk28_0)|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[452,442,theory(equality)])).
% cnf(860,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|element(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))),powerset(powerset(esk29_1(esk4_1(esk28_0)))))|$false|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[851,296,theory(equality)])).
% cnf(861,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|element(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))),powerset(powerset(esk29_1(esk4_1(esk28_0)))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[860,theory(equality)])).
% cnf(866,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|element(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))),powerset(powerset(esk29_1(esk4_1(esk28_0)))))),inference(spm,[status(thm)],[861,304,theory(equality)])).
% cnf(874,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[799,866,theory(equality)])).
% cnf(876,plain,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|element(esk8_4(X1,X2,X3,X2),powerset(powerset(X2)))|in(X2,esk4_1(X1))|X2!=X3|~ordinal(X2)|~ordinal(X1)|~in(X3,succ(X1))),inference(er,[status(thm)],[89,theory(equality)])).
% cnf(877,plain,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|element(esk8_4(X1,X2,X2,X2),powerset(powerset(X2)))|in(X2,esk4_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X2,succ(X1))),inference(er,[status(thm)],[876,theory(equality)])).
% cnf(880,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|subset(X1,esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[845,304,theory(equality)])).
% cnf(887,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[880,874,theory(equality)])).
% cnf(914,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|element(esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)),powerset(powerset(esk29_1(X1))))|in(esk29_1(X1),esk4_1(esk28_0))|in(esk29_1(X1),X1)|~ordinal(esk29_1(X1))|~ordinal(esk28_0)),inference(spm,[status(thm)],[877,303,theory(equality)])).
% cnf(938,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|element(esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)),powerset(powerset(esk29_1(X1))))|in(esk29_1(X1),esk4_1(esk28_0))|in(esk29_1(X1),X1)|~ordinal(esk29_1(X1))|$false),inference(rw,[status(thm)],[914,296,theory(equality)])).
% cnf(939,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|element(esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)),powerset(powerset(esk29_1(X1))))|in(esk29_1(X1),esk4_1(esk28_0))|in(esk29_1(X1),X1)|~ordinal(esk29_1(X1))),inference(cn,[status(thm)],[938,theory(equality)])).
% cnf(955,plain,(in(esk9_5(X1,X2,X3,X2,X4),esk8_4(X1,X2,X3,X2))|in(X2,esk4_1(X1))|esk2_1(X1)!=esk3_1(X1)|X2!=X3|~ordinal(X2)|~ordinal(X1)|~in(X4,esk8_4(X1,X2,X3,X2))|~in(X3,succ(X1))),inference(er,[status(thm)],[96,theory(equality)])).
% cnf(956,plain,(in(esk9_5(X1,X2,X2,X2,X3),esk8_4(X1,X2,X2,X2))|in(X2,esk4_1(X1))|esk2_1(X1)!=esk3_1(X1)|~ordinal(X2)|~ordinal(X1)|~in(X3,esk8_4(X1,X2,X2,X2))|~in(X2,succ(X1))),inference(er,[status(thm)],[955,theory(equality)])).
% cnf(966,plain,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(esk9_5(X1,X2,X3,X2,X4),esk8_4(X1,X2,X3,X2))|in(X2,esk4_1(X1))|X2!=X3|~ordinal(X2)|~ordinal(X1)|~in(X4,esk8_4(X1,X2,X3,X2))|~in(X3,succ(X1))),inference(er,[status(thm)],[97,theory(equality)])).
% cnf(967,plain,(epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|in(esk9_5(X1,X2,X2,X2,X3),esk8_4(X1,X2,X2,X2))|in(X2,esk4_1(X1))|~ordinal(X2)|~ordinal(X1)|~in(X3,esk8_4(X1,X2,X2,X2))|~in(X2,succ(X1))),inference(er,[status(thm)],[966,theory(equality)])).
% cnf(993,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk9_5(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1),X2),esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)))|in(esk29_1(X1),esk4_1(esk28_0))|in(esk29_1(X1),X1)|~ordinal(esk29_1(X1))|~ordinal(esk28_0)|~in(X2,esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)))),inference(spm,[status(thm)],[967,303,theory(equality)])).
% cnf(1017,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk9_5(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1),X2),esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)))|in(esk29_1(X1),esk4_1(esk28_0))|in(esk29_1(X1),X1)|~ordinal(esk29_1(X1))|$false|~in(X2,esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)))),inference(rw,[status(thm)],[993,296,theory(equality)])).
% cnf(1018,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk9_5(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1),X2),esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)))|in(esk29_1(X1),esk4_1(esk28_0))|in(esk29_1(X1),X1)|~ordinal(esk29_1(X1))|~in(X2,esk8_4(esk28_0,esk29_1(X1),esk29_1(X1),esk29_1(X1)))),inference(cn,[status(thm)],[1017,theory(equality)])).
% cnf(1037,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~ordinal(esk28_0)|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[588,442,theory(equality)])).
% cnf(1046,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|$false|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[1037,296,theory(equality)])).
% cnf(1047,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[1046,theory(equality)])).
% cnf(1052,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[1047,304,theory(equality)])).
% cnf(1059,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[1052,874,theory(equality)])).
% cnf(1092,negated_conjecture,(esk7_3(X1,esk29_1(esk4_1(X1)),X2)=X3|esk29_1(esk4_1(X1))=esk32_1(esk4_1(X1))|empty_set=X2|epred1_3(esk3_1(X1),esk2_1(X1),esk1_1(X1))|~element(X2,powerset(powerset(esk29_1(esk4_1(X1)))))|~ordinal(X1)|~in(esk29_1(esk4_1(X1)),omega)|~in(X3,X2)|~subset(esk7_3(X1,esk29_1(esk4_1(X1)),X2),X3)),inference(spm,[status(thm)],[813,404,theory(equality)])).
% cnf(1095,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1)=X2|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))|~ordinal(esk28_0)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[1092,574,theory(equality)])).
% cnf(1097,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1)=X2|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))|$false|~in(X2,X1)|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X2)),inference(rw,[status(thm)],[1095,296,theory(equality)])).
% cnf(1098,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1)=X2|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))|~in(X2,X1)|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X2)),inference(cn,[status(thm)],[1097,theory(equality)])).
% cnf(1102,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))=X1|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),X1)),inference(spm,[status(thm)],[1098,866,theory(equality)])).
% cnf(1452,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))=esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))))),inference(spm,[status(thm)],[1102,1059,theory(equality)])).
% cnf(1643,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))))=esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))),inference(spm,[status(thm)],[1452,887,theory(equality)])).
% cnf(1645,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set|~in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[669,1643,theory(equality)])).
% cnf(1669,negated_conjecture,(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))),inference(spm,[status(thm)],[1645,874,theory(equality)])).
% cnf(1670,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[325,1669,theory(equality)])).
% cnf(1775,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~ordinal(esk28_0)),inference(spm,[status(thm)],[1670,418,theory(equality)])).
% cnf(1778,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|$false),inference(rw,[status(thm)],[1775,296,theory(equality)])).
% cnf(1779,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[1778,theory(equality)])).
% cnf(1784,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~ordinal(esk28_0)),inference(spm,[status(thm)],[1779,442,theory(equality)])).
% cnf(1787,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|$false),inference(rw,[status(thm)],[1784,296,theory(equality)])).
% cnf(1788,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[1787,theory(equality)])).
% cnf(1791,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))),inference(spm,[status(thm)],[1788,304,theory(equality)])).
% cnf(1796,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1)!=X1|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[326,1791,theory(equality)])).
% cnf(1799,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk30_2(esk4_1(esk28_0),X1)!=empty_set|esk32_1(esk4_1(esk28_0))!=X1|~ordinal(X1)|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[299,1791,theory(equality)])).
% cnf(1805,negated_conjecture,(in(esk32_1(esk4_1(esk28_0)),omega)|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[407,1791,theory(equality)])).
% cnf(1806,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[445,1791,theory(equality)])).
% cnf(1807,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),omega)|~ordinal(esk32_1(esk4_1(esk28_0)))),inference(spm,[status(thm)],[512,1791,theory(equality)])).
% cnf(1808,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[578,1791,theory(equality)])).
% cnf(1809,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1)!=X1|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(X1,esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[649,1791,theory(equality)])).
% cnf(1810,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|subset(X1,esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1))|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(X1,esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[776,1791,theory(equality)])).
% cnf(1811,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|element(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~ordinal(esk32_1(esk4_1(esk28_0)))),inference(spm,[status(thm)],[939,1791,theory(equality)])).
% cnf(1812,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(X1,esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[1018,1791,theory(equality)])).
% cnf(1815,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[428,1791,theory(equality)])).
% cnf(1825,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|ordinal(esk32_1(esk4_1(esk28_0)))|~ordinal(esk28_0)),inference(spm,[status(thm)],[414,1791,theory(equality)])).
% cnf(1887,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))),inference(spm,[status(thm)],[471,1791,theory(equality)])).
% cnf(2012,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|ordinal(esk32_1(esk4_1(esk28_0)))|$false),inference(rw,[status(thm)],[1825,296,theory(equality)])).
% cnf(2013,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|ordinal(esk32_1(esk4_1(esk28_0)))),inference(cn,[status(thm)],[2012,theory(equality)])).
% cnf(2148,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),omega)),inference(spm,[status(thm)],[1807,2013,theory(equality)])).
% cnf(2151,negated_conjecture,(esk33_2(esk4_1(esk28_0),X1)=X2|empty_set=X1|in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(X2,X1)|~subset(esk33_2(esk4_1(esk28_0),X1),X2)),inference(spm,[status(thm)],[307,2148,theory(equality)])).
% cnf(2152,negated_conjecture,(empty_set=X1|in(esk33_2(esk4_1(esk28_0),X1),X1)|in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))),inference(spm,[status(thm)],[306,2148,theory(equality)])).
% cnf(2153,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|element(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[1811,2013,theory(equality)])).
% cnf(2158,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk30_2(esk4_1(esk28_0),X1)!=empty_set|esk32_1(esk4_1(esk28_0))!=X1|~ordinal(X1)|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[1799,1887,theory(equality)])).
% cnf(2160,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),omega)|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[1805,2013,theory(equality)])).
% cnf(2161,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),omega)|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[2160,1887,theory(equality)])).
% cnf(2163,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[1796,2013,theory(equality)])).
% cnf(2165,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|element(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[1806,2013,theory(equality)])).
% cnf(2166,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|element(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[2165,1887,theory(equality)])).
% cnf(2167,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[2163,1887,theory(equality)])).
% cnf(2170,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|subset(X1,esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[1815,2013,theory(equality)])).
% cnf(2175,negated_conjecture,(empty_set=esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[2152,2153,theory(equality)])).
% cnf(2323,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|subset(X1,esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[2170,1887,theory(equality)])).
% cnf(2324,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[1809,2013,theory(equality)])).
% cnf(2336,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[2175,1791,theory(equality)])).
% cnf(2543,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[1808,2013,theory(equality)])).
% cnf(2544,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[2543,1887,theory(equality)])).
% cnf(2545,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|subset(X1,esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1))|~in(X1,esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[1810,2013,theory(equality)])).
% cnf(2577,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|subset(esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))),esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[2545,2336,theory(equality)])).
% cnf(2594,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~in(X1,esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[1812,2013,theory(equality)])).
% cnf(2595,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[2594,2336,theory(equality)])).
% cnf(2627,negated_conjecture,(esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))=esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))))|empty_set=esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~element(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[2151,2577,theory(equality)])).
% cnf(2637,negated_conjecture,(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))))=esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~in(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[2627,2153,theory(equality)])).
% cnf(2688,negated_conjecture,(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))))=esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[2637,2595,theory(equality)])).
% cnf(2696,negated_conjecture,(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))))=esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[2688,1791,theory(equality)])).
% cnf(2720,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~in(esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[2324,2696,theory(equality)])).
% cnf(2730,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[2720,2336,theory(equality)])).
% cnf(2733,negated_conjecture,(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0)))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~ordinal(esk28_0)),inference(spm,[status(thm)],[79,2730,theory(equality)])).
% cnf(2736,negated_conjecture,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|~ordinal(esk28_0)|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[85,2730,theory(equality)])).
% cnf(2737,negated_conjecture,(empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|~ordinal(esk28_0)|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)),inference(spm,[status(thm)],[83,2730,theory(equality)])).
% cnf(2739,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk30_2(esk4_1(esk28_0),X1)!=empty_set|esk32_1(esk4_1(esk28_0))!=X1|~ordinal(X1)),inference(spm,[status(thm)],[2158,2730,theory(equality)])).
% cnf(2742,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|element(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[2166,2730,theory(equality)])).
% cnf(2743,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[2544,2730,theory(equality)])).
% cnf(2744,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),omega)|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[2161,2730,theory(equality)])).
% cnf(2745,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|subset(X1,esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[2323,2730,theory(equality)])).
% cnf(2747,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[2167,2730,theory(equality)])).
% cnf(2751,negated_conjecture,(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0)))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|$false),inference(rw,[status(thm)],[2733,296,theory(equality)])).
% cnf(2752,negated_conjecture,(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0)))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set),inference(cn,[status(thm)],[2751,theory(equality)])).
% cnf(2757,negated_conjecture,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|$false|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(rw,[status(thm)],[2736,296,theory(equality)])).
% cnf(2758,negated_conjecture,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(cn,[status(thm)],[2757,theory(equality)])).
% cnf(2759,negated_conjecture,(empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|$false|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)),inference(rw,[status(thm)],[2737,296,theory(equality)])).
% cnf(2760,negated_conjecture,(empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)),inference(cn,[status(thm)],[2759,theory(equality)])).
% cnf(2788,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set|~ordinal(esk32_1(esk4_1(esk28_0)))),inference(er,[status(thm)],[2739,theory(equality)])).
% cnf(2790,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set),inference(spm,[status(thm)],[2788,2013,theory(equality)])).
% cnf(2894,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk32_1(esk4_1(esk28_0)),omega)),inference(spm,[status(thm)],[2760,2752,theory(equality)])).
% cnf(2895,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))),inference(spm,[status(thm)],[2894,2744,theory(equality)])).
% cnf(2897,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|empty_set=esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[2895,2742,theory(equality)])).
% cnf(2908,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk32_1(esk4_1(esk28_0)),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[2758,2752,theory(equality)])).
% cnf(2997,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[2908,2744,theory(equality)])).
% cnf(2999,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))=X1|empty_set=esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),X1)),inference(spm,[status(thm)],[2997,2742,theory(equality)])).
% cnf(3521,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[2745,2897,theory(equality)])).
% cnf(3522,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[2743,2897,theory(equality)])).
% cnf(4143,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))=esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))))),inference(spm,[status(thm)],[2999,3522,theory(equality)])).
% cnf(5569,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))))=esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))),inference(spm,[status(thm)],[4143,3521,theory(equality)])).
% cnf(5570,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set|~in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[2747,5569,theory(equality)])).
% cnf(5582,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))),inference(spm,[status(thm)],[5570,2897,theory(equality)])).
% cnf(5607,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))),inference(spm,[status(thm)],[2790,5582,theory(equality)])).
% cnf(5629,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~ordinal(esk32_1(esk4_1(esk28_0)))|~ordinal(esk28_0)|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))),inference(spm,[status(thm)],[557,5607,theory(equality)])).
% cnf(5693,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~ordinal(esk32_1(esk4_1(esk28_0)))|$false|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))),inference(rw,[status(thm)],[5629,296,theory(equality)])).
% cnf(5694,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))),inference(cn,[status(thm)],[5693,theory(equality)])).
% cnf(5769,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))),inference(spm,[status(thm)],[5694,2013,theory(equality)])).
% cnf(5770,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[5769,1887,theory(equality)])).
% cnf(5773,negated_conjecture,(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0)))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~ordinal(esk28_0)),inference(spm,[status(thm)],[79,5770,theory(equality)])).
% cnf(5776,negated_conjecture,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|~ordinal(esk28_0)|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[85,5770,theory(equality)])).
% cnf(5777,negated_conjecture,(empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|~ordinal(esk28_0)|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)),inference(spm,[status(thm)],[83,5770,theory(equality)])).
% cnf(5779,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk30_2(esk4_1(esk28_0),X1)!=empty_set|esk32_1(esk4_1(esk28_0))!=X1|~ordinal(X1)),inference(spm,[status(thm)],[2158,5770,theory(equality)])).
% cnf(5782,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|element(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))),inference(spm,[status(thm)],[2166,5770,theory(equality)])).
% cnf(5783,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[2544,5770,theory(equality)])).
% cnf(5784,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),omega)),inference(spm,[status(thm)],[2161,5770,theory(equality)])).
% cnf(5785,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|subset(X1,esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[2323,5770,theory(equality)])).
% cnf(5787,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[2167,5770,theory(equality)])).
% cnf(5791,negated_conjecture,(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0)))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|$false),inference(rw,[status(thm)],[5773,296,theory(equality)])).
% cnf(5792,negated_conjecture,(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0)))=esk32_1(esk4_1(esk28_0))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))),inference(cn,[status(thm)],[5791,theory(equality)])).
% cnf(5797,negated_conjecture,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|$false|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(rw,[status(thm)],[5776,296,theory(equality)])).
% cnf(5798,negated_conjecture,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(cn,[status(thm)],[5797,theory(equality)])).
% cnf(5799,negated_conjecture,(empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|$false|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)),inference(rw,[status(thm)],[5777,296,theory(equality)])).
% cnf(5800,negated_conjecture,(empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)),inference(cn,[status(thm)],[5799,theory(equality)])).
% cnf(5801,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set|~ordinal(esk32_1(esk4_1(esk28_0)))),inference(er,[status(thm)],[5779,theory(equality)])).
% cnf(5803,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set),inference(spm,[status(thm)],[5801,2013,theory(equality)])).
% cnf(5848,negated_conjecture,(empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk32_1(esk4_1(esk28_0)),omega)),inference(spm,[status(thm)],[5800,5792,theory(equality)])).
% cnf(5937,negated_conjecture,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk32_1(esk4_1(esk28_0)),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[5798,5792,theory(equality)])).
% cnf(6008,negated_conjecture,(empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))),inference(spm,[status(thm)],[5848,5784,theory(equality)])).
% cnf(6009,negated_conjecture,(empty_set=esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[6008,5782,theory(equality)])).
% cnf(6016,negated_conjecture,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[5937,5784,theory(equality)])).
% cnf(6017,negated_conjecture,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))=X1|empty_set=esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),X1)),inference(spm,[status(thm)],[6016,5782,theory(equality)])).
% cnf(6540,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[5785,6009,theory(equality)])).
% cnf(6541,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[5783,6009,theory(equality)])).
% cnf(7136,negated_conjecture,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))=esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))))),inference(spm,[status(thm)],[6017,6541,theory(equality)])).
% cnf(8568,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))))=esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))),inference(spm,[status(thm)],[7136,6540,theory(equality)])).
% cnf(8569,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set|~in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[5787,8568,theory(equality)])).
% cnf(8581,negated_conjecture,(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set|epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))),inference(spm,[status(thm)],[8569,6009,theory(equality)])).
% cnf(8602,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk1_1(esk28_0))),inference(spm,[status(thm)],[5803,8581,theory(equality)])).
% cnf(8623,plain,(esk2_1(esk28_0)=esk1_1(esk28_0)),inference(spm,[status(thm)],[314,8602,theory(equality)])).
% cnf(8930,negated_conjecture,(epred1_3(esk3_1(esk28_0),esk2_1(esk28_0),esk2_1(esk28_0))),inference(rw,[status(thm)],[8602,8623,theory(equality)])).
% cnf(8931,plain,(esk3_1(esk28_0)=esk2_1(esk28_0)),inference(spm,[status(thm)],[313,8930,theory(equality)])).
% cnf(8936,plain,(esk5_2(esk28_0,X1)=X1|~ordinal(esk28_0)|~in(X1,esk4_1(esk28_0))),inference(spm,[status(thm)],[74,8931,theory(equality)])).
% cnf(8937,plain,(esk6_2(esk28_0,X1)=X1|~ordinal(esk28_0)|~in(X1,esk4_1(esk28_0))),inference(spm,[status(thm)],[78,8931,theory(equality)])).
% cnf(8938,plain,(ordinal(esk6_2(esk28_0,X1))|~ordinal(esk28_0)|~in(X1,esk4_1(esk28_0))),inference(spm,[status(thm)],[80,8931,theory(equality)])).
% cnf(8939,plain,(in(esk5_2(esk28_0,X1),succ(esk28_0))|~ordinal(esk28_0)|~in(X1,esk4_1(esk28_0))),inference(spm,[status(thm)],[76,8931,theory(equality)])).
% cnf(8940,plain,(esk7_3(esk28_0,X1,X2)=X3|empty_set=X2|~element(X2,powerset(powerset(esk6_2(esk28_0,X1))))|~ordinal(esk28_0)|~in(esk6_2(esk28_0,X1),omega)|~in(X1,esk4_1(esk28_0))|~in(X3,X2)|~subset(esk7_3(esk28_0,X1,X2),X3)),inference(spm,[status(thm)],[84,8931,theory(equality)])).
% cnf(8941,plain,(element(esk8_4(esk28_0,X1,X1,X1),powerset(powerset(X1)))|in(X1,esk4_1(esk28_0))|~ordinal(X1)|~ordinal(esk28_0)|~in(X1,succ(esk28_0))),inference(spm,[status(thm)],[673,8931,theory(equality)])).
% cnf(8942,plain,(in(esk9_5(esk28_0,X1,X1,X1,X2),esk8_4(esk28_0,X1,X1,X1))|in(X1,esk4_1(esk28_0))|~ordinal(X1)|~ordinal(esk28_0)|~in(X2,esk8_4(esk28_0,X1,X1,X1))|~in(X1,succ(esk28_0))),inference(spm,[status(thm)],[956,8931,theory(equality)])).
% cnf(8943,plain,(in(X1,esk4_1(esk28_0))|in(X1,omega)|~ordinal(X1)|~ordinal(esk28_0)|~in(X1,succ(esk28_0))),inference(spm,[status(thm)],[432,8931,theory(equality)])).
% cnf(8944,plain,(empty_set=X1|in(esk7_3(esk28_0,X2,X1),X1)|~element(X1,powerset(powerset(esk6_2(esk28_0,X2))))|~ordinal(esk28_0)|~in(esk6_2(esk28_0,X2),omega)|~in(X2,esk4_1(esk28_0))),inference(spm,[status(thm)],[82,8931,theory(equality)])).
% cnf(8945,plain,(in(X1,esk4_1(esk28_0))|esk8_4(esk28_0,X1,X1,X1)!=empty_set|~ordinal(X1)|~ordinal(esk28_0)|~in(X1,succ(esk28_0))),inference(spm,[status(thm)],[427,8931,theory(equality)])).
% cnf(8946,plain,(in(X1,esk4_1(esk28_0))|esk9_5(esk28_0,X1,X1,X1,X2)!=X2|~ordinal(X1)|~ordinal(esk28_0)|~in(X2,esk8_4(esk28_0,X1,X1,X1))|~in(X1,succ(esk28_0))),inference(spm,[status(thm)],[529,8931,theory(equality)])).
% cnf(8947,plain,(in(X1,esk4_1(esk28_0))|subset(X2,esk9_5(esk28_0,X1,X1,X1,X2))|~ordinal(X1)|~ordinal(esk28_0)|~in(X2,esk8_4(esk28_0,X1,X1,X1))|~in(X1,succ(esk28_0))),inference(spm,[status(thm)],[592,8931,theory(equality)])).
% cnf(8950,plain,(esk5_2(esk28_0,X1)=X1|$false|~in(X1,esk4_1(esk28_0))),inference(rw,[status(thm)],[8936,296,theory(equality)])).
% cnf(8951,plain,(esk5_2(esk28_0,X1)=X1|~in(X1,esk4_1(esk28_0))),inference(cn,[status(thm)],[8950,theory(equality)])).
% cnf(8952,plain,(esk6_2(esk28_0,X1)=X1|$false|~in(X1,esk4_1(esk28_0))),inference(rw,[status(thm)],[8937,296,theory(equality)])).
% cnf(8953,plain,(esk6_2(esk28_0,X1)=X1|~in(X1,esk4_1(esk28_0))),inference(cn,[status(thm)],[8952,theory(equality)])).
% cnf(8954,plain,(ordinal(esk6_2(esk28_0,X1))|$false|~in(X1,esk4_1(esk28_0))),inference(rw,[status(thm)],[8938,296,theory(equality)])).
% cnf(8955,plain,(ordinal(esk6_2(esk28_0,X1))|~in(X1,esk4_1(esk28_0))),inference(cn,[status(thm)],[8954,theory(equality)])).
% cnf(8956,plain,(in(esk5_2(esk28_0,X1),succ(esk28_0))|$false|~in(X1,esk4_1(esk28_0))),inference(rw,[status(thm)],[8939,296,theory(equality)])).
% cnf(8957,plain,(in(esk5_2(esk28_0,X1),succ(esk28_0))|~in(X1,esk4_1(esk28_0))),inference(cn,[status(thm)],[8956,theory(equality)])).
% cnf(8958,plain,(esk7_3(esk28_0,X1,X2)=X3|empty_set=X2|~element(X2,powerset(powerset(esk6_2(esk28_0,X1))))|$false|~in(esk6_2(esk28_0,X1),omega)|~in(X1,esk4_1(esk28_0))|~in(X3,X2)|~subset(esk7_3(esk28_0,X1,X2),X3)),inference(rw,[status(thm)],[8940,296,theory(equality)])).
% cnf(8959,plain,(esk7_3(esk28_0,X1,X2)=X3|empty_set=X2|~element(X2,powerset(powerset(esk6_2(esk28_0,X1))))|~in(esk6_2(esk28_0,X1),omega)|~in(X1,esk4_1(esk28_0))|~in(X3,X2)|~subset(esk7_3(esk28_0,X1,X2),X3)),inference(cn,[status(thm)],[8958,theory(equality)])).
% cnf(8960,plain,(element(esk8_4(esk28_0,X1,X1,X1),powerset(powerset(X1)))|in(X1,esk4_1(esk28_0))|~ordinal(X1)|$false|~in(X1,succ(esk28_0))),inference(rw,[status(thm)],[8941,296,theory(equality)])).
% cnf(8961,plain,(element(esk8_4(esk28_0,X1,X1,X1),powerset(powerset(X1)))|in(X1,esk4_1(esk28_0))|~ordinal(X1)|~in(X1,succ(esk28_0))),inference(cn,[status(thm)],[8960,theory(equality)])).
% cnf(8962,plain,(in(esk9_5(esk28_0,X1,X1,X1,X2),esk8_4(esk28_0,X1,X1,X1))|in(X1,esk4_1(esk28_0))|~ordinal(X1)|$false|~in(X2,esk8_4(esk28_0,X1,X1,X1))|~in(X1,succ(esk28_0))),inference(rw,[status(thm)],[8942,296,theory(equality)])).
% cnf(8963,plain,(in(esk9_5(esk28_0,X1,X1,X1,X2),esk8_4(esk28_0,X1,X1,X1))|in(X1,esk4_1(esk28_0))|~ordinal(X1)|~in(X2,esk8_4(esk28_0,X1,X1,X1))|~in(X1,succ(esk28_0))),inference(cn,[status(thm)],[8962,theory(equality)])).
% cnf(8964,plain,(in(X1,esk4_1(esk28_0))|in(X1,omega)|~ordinal(X1)|$false|~in(X1,succ(esk28_0))),inference(rw,[status(thm)],[8943,296,theory(equality)])).
% cnf(8965,plain,(in(X1,esk4_1(esk28_0))|in(X1,omega)|~ordinal(X1)|~in(X1,succ(esk28_0))),inference(cn,[status(thm)],[8964,theory(equality)])).
% cnf(8966,plain,(empty_set=X1|in(esk7_3(esk28_0,X2,X1),X1)|~element(X1,powerset(powerset(esk6_2(esk28_0,X2))))|$false|~in(esk6_2(esk28_0,X2),omega)|~in(X2,esk4_1(esk28_0))),inference(rw,[status(thm)],[8944,296,theory(equality)])).
% cnf(8967,plain,(empty_set=X1|in(esk7_3(esk28_0,X2,X1),X1)|~element(X1,powerset(powerset(esk6_2(esk28_0,X2))))|~in(esk6_2(esk28_0,X2),omega)|~in(X2,esk4_1(esk28_0))),inference(cn,[status(thm)],[8966,theory(equality)])).
% cnf(8968,plain,(in(X1,esk4_1(esk28_0))|esk8_4(esk28_0,X1,X1,X1)!=empty_set|~ordinal(X1)|$false|~in(X1,succ(esk28_0))),inference(rw,[status(thm)],[8945,296,theory(equality)])).
% cnf(8969,plain,(in(X1,esk4_1(esk28_0))|esk8_4(esk28_0,X1,X1,X1)!=empty_set|~ordinal(X1)|~in(X1,succ(esk28_0))),inference(cn,[status(thm)],[8968,theory(equality)])).
% cnf(8970,plain,(in(X1,esk4_1(esk28_0))|esk9_5(esk28_0,X1,X1,X1,X2)!=X2|~ordinal(X1)|$false|~in(X2,esk8_4(esk28_0,X1,X1,X1))|~in(X1,succ(esk28_0))),inference(rw,[status(thm)],[8946,296,theory(equality)])).
% cnf(8971,plain,(in(X1,esk4_1(esk28_0))|esk9_5(esk28_0,X1,X1,X1,X2)!=X2|~ordinal(X1)|~in(X2,esk8_4(esk28_0,X1,X1,X1))|~in(X1,succ(esk28_0))),inference(cn,[status(thm)],[8970,theory(equality)])).
% cnf(8972,plain,(in(X1,esk4_1(esk28_0))|subset(X2,esk9_5(esk28_0,X1,X1,X1,X2))|~ordinal(X1)|$false|~in(X2,esk8_4(esk28_0,X1,X1,X1))|~in(X1,succ(esk28_0))),inference(rw,[status(thm)],[8947,296,theory(equality)])).
% cnf(8973,plain,(in(X1,esk4_1(esk28_0))|subset(X2,esk9_5(esk28_0,X1,X1,X1,X2))|~ordinal(X1)|~in(X2,esk8_4(esk28_0,X1,X1,X1))|~in(X1,succ(esk28_0))),inference(cn,[status(thm)],[8972,theory(equality)])).
% cnf(8992,negated_conjecture,(ordinal(esk6_2(esk28_0,esk29_1(esk4_1(esk28_0))))|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))),inference(spm,[status(thm)],[8955,304,theory(equality)])).
% cnf(8993,negated_conjecture,(ordinal(esk6_2(esk28_0,esk29_1(esk4_1(esk28_0))))|ordinal(esk32_1(esk4_1(esk28_0)))),inference(spm,[status(thm)],[8955,305,theory(equality)])).
% cnf(8997,negated_conjecture,(esk5_2(esk28_0,esk29_1(esk4_1(esk28_0)))=esk29_1(esk4_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))),inference(spm,[status(thm)],[8951,303,theory(equality)])).
% cnf(8998,negated_conjecture,(esk6_2(esk28_0,esk29_1(esk4_1(esk28_0)))=esk29_1(esk4_1(esk28_0))|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))),inference(spm,[status(thm)],[8953,304,theory(equality)])).
% cnf(8999,negated_conjecture,(esk6_2(esk28_0,esk29_1(esk4_1(esk28_0)))=esk29_1(esk4_1(esk28_0))|ordinal(esk32_1(esk4_1(esk28_0)))),inference(spm,[status(thm)],[8953,305,theory(equality)])).
% cnf(9003,negated_conjecture,(in(esk5_2(esk28_0,esk29_1(esk4_1(esk28_0))),succ(esk28_0))|in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))),inference(spm,[status(thm)],[8957,303,theory(equality)])).
% cnf(9253,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|ordinal(esk29_1(esk4_1(esk28_0)))),inference(spm,[status(thm)],[8992,8998,theory(equality)])).
% cnf(9263,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1)!=X1|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[326,9253,theory(equality)])).
% cnf(9264,negated_conjecture,(in(esk29_1(esk4_1(esk28_0)),omega)|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[407,9253,theory(equality)])).
% cnf(9265,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))),powerset(powerset(esk29_1(esk4_1(esk28_0)))))|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[445,9253,theory(equality)])).
% cnf(9266,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[578,9253,theory(equality)])).
% cnf(9269,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1))|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[428,9253,theory(equality)])).
% cnf(9354,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~element(X1,powerset(powerset(esk6_2(esk28_0,esk29_1(esk4_1(esk28_0))))))|~in(esk6_2(esk28_0,esk29_1(esk4_1(esk28_0))),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[8959,304,theory(equality)])).
% cnf(9355,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|ordinal(esk32_1(esk4_1(esk28_0)))|~element(X1,powerset(powerset(esk6_2(esk28_0,esk29_1(esk4_1(esk28_0))))))|~in(esk6_2(esk28_0,esk29_1(esk4_1(esk28_0))),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[8959,305,theory(equality)])).
% cnf(9392,negated_conjecture,(ordinal(esk29_1(esk4_1(esk28_0)))|ordinal(esk32_1(esk4_1(esk28_0)))),inference(spm,[status(thm)],[8993,8999,theory(equality)])).
% cnf(9422,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1)!=X1|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[326,9392,theory(equality)])).
% cnf(9423,negated_conjecture,(in(esk29_1(esk4_1(esk28_0)),omega)|ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[407,9392,theory(equality)])).
% cnf(9424,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))),powerset(powerset(esk29_1(esk4_1(esk28_0)))))|ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[445,9392,theory(equality)])).
% cnf(9425,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[578,9392,theory(equality)])).
% cnf(9428,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1))|ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[428,9392,theory(equality)])).
% cnf(9559,negated_conjecture,(empty_set=X1|in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X1)|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~element(X1,powerset(powerset(esk6_2(esk28_0,esk29_1(esk4_1(esk28_0))))))|~in(esk6_2(esk28_0,esk29_1(esk4_1(esk28_0))),omega)),inference(spm,[status(thm)],[8967,304,theory(equality)])).
% cnf(9560,negated_conjecture,(empty_set=X1|in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X1)|ordinal(esk32_1(esk4_1(esk28_0)))|~element(X1,powerset(powerset(esk6_2(esk28_0,esk29_1(esk4_1(esk28_0))))))|~in(esk6_2(esk28_0,esk29_1(esk4_1(esk28_0))),omega)),inference(spm,[status(thm)],[8967,305,theory(equality)])).
% cnf(9888,negated_conjecture,(in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))),inference(spm,[status(thm)],[9003,8997,theory(equality)])).
% cnf(9919,plain,(element(esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))),powerset(powerset(esk29_1(esk4_1(esk28_0)))))|in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~ordinal(esk29_1(esk4_1(esk28_0)))),inference(spm,[status(thm)],[8961,9888,theory(equality)])).
% cnf(9920,plain,(in(esk9_5(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),X1),esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))))|in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(X1,esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[8963,9888,theory(equality)])).
% cnf(9921,plain,(in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),omega)|~ordinal(esk29_1(esk4_1(esk28_0)))),inference(spm,[status(thm)],[8965,9888,theory(equality)])).
% cnf(9922,plain,(in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)))!=empty_set|~ordinal(esk29_1(esk4_1(esk28_0)))),inference(spm,[status(thm)],[8969,9888,theory(equality)])).
% cnf(9923,plain,(in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk9_5(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),X1)!=X1|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(X1,esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[8971,9888,theory(equality)])).
% cnf(9924,plain,(in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|subset(X1,esk9_5(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),X1))|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(X1,esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[8973,9888,theory(equality)])).
% cnf(9936,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|in(esk29_1(esk4_1(esk28_0)),omega)|$false|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[9423,9888,theory(equality)])).
% cnf(9937,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|in(esk29_1(esk4_1(esk28_0)),omega)|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[9936,theory(equality)])).
% cnf(10003,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|in(esk29_1(esk4_1(esk28_0)),omega)),inference(spm,[status(thm)],[9937,305,theory(equality)])).
% cnf(10108,negated_conjecture,(in(esk29_1(esk4_1(esk28_0)),omega)|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|$false|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[9264,9888,theory(equality)])).
% cnf(10109,negated_conjecture,(in(esk29_1(esk4_1(esk28_0)),omega)|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[10108,theory(equality)])).
% cnf(10110,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),omega)),inference(spm,[status(thm)],[10109,304,theory(equality)])).
% cnf(10141,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1)!=X1|$false|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[9422,9888,theory(equality)])).
% cnf(10142,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[10141,theory(equality)])).
% cnf(10144,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[10142,305,theory(equality)])).
% cnf(10152,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1)!=X1|$false|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[9263,9888,theory(equality)])).
% cnf(10153,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[10152,theory(equality)])).
% cnf(10154,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[10153,304,theory(equality)])).
% cnf(10169,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))),powerset(powerset(esk29_1(esk4_1(esk28_0)))))|ordinal(esk32_1(esk4_1(esk28_0)))|$false|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[9424,9888,theory(equality)])).
% cnf(10170,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))),powerset(powerset(esk29_1(esk4_1(esk28_0)))))|ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[10169,theory(equality)])).
% cnf(10172,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))),powerset(powerset(esk29_1(esk4_1(esk28_0)))))|ordinal(esk32_1(esk4_1(esk28_0)))),inference(spm,[status(thm)],[10170,305,theory(equality)])).
% cnf(10204,negated_conjecture,(empty_set=X1|ordinal(esk32_1(esk4_1(esk28_0)))|in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))|~in(esk29_1(esk4_1(esk28_0)),omega)),inference(spm,[status(thm)],[9560,8999,theory(equality)])).
% cnf(10216,negated_conjecture,(empty_set=X1|ordinal(esk32_1(esk4_1(esk28_0)))|in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))),inference(spm,[status(thm)],[10204,10003,theory(equality)])).
% cnf(10217,negated_conjecture,(empty_set=esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))|ordinal(esk32_1(esk4_1(esk28_0)))|in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[10216,10172,theory(equality)])).
% cnf(10248,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1))|ordinal(esk32_1(esk4_1(esk28_0)))|$false|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[9428,9888,theory(equality)])).
% cnf(10249,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1))|ordinal(esk32_1(esk4_1(esk28_0)))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[10248,theory(equality)])).
% cnf(10251,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|subset(X1,esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[10249,305,theory(equality)])).
% cnf(10300,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[10251,10217,theory(equality)])).
% cnf(10301,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))),powerset(powerset(esk29_1(esk4_1(esk28_0)))))|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|$false|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[9265,9888,theory(equality)])).
% cnf(10302,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))),powerset(powerset(esk29_1(esk4_1(esk28_0)))))|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[10301,theory(equality)])).
% cnf(10303,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|element(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))),powerset(powerset(esk29_1(esk4_1(esk28_0)))))),inference(spm,[status(thm)],[10302,304,theory(equality)])).
% cnf(10316,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=X1|in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))|~in(esk29_1(esk4_1(esk28_0)),omega)),inference(spm,[status(thm)],[9559,8998,theory(equality)])).
% cnf(10328,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=X1|in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))),inference(spm,[status(thm)],[10316,10110,theory(equality)])).
% cnf(10330,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))|in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[10328,10303,theory(equality)])).
% cnf(10384,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1))|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|$false|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[9269,9888,theory(equality)])).
% cnf(10385,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1))|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[10384,theory(equality)])).
% cnf(10386,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|subset(X1,esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[10385,304,theory(equality)])).
% cnf(10438,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[10386,10330,theory(equality)])).
% cnf(10485,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|ordinal(esk32_1(esk4_1(esk28_0)))|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))|~in(esk29_1(esk4_1(esk28_0)),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[9355,8999,theory(equality)])).
% cnf(10497,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|ordinal(esk32_1(esk4_1(esk28_0)))|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))|~in(X2,X1)|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[10485,10003,theory(equality)])).
% cnf(10499,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))=X1|empty_set=esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))|ordinal(esk32_1(esk4_1(esk28_0)))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),X1)),inference(spm,[status(thm)],[10497,10172,theory(equality)])).
% cnf(10514,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1)=X2|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=X1|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))|~in(esk29_1(esk4_1(esk28_0)),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[9354,8998,theory(equality)])).
% cnf(10567,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1)=X2|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=X1|~element(X1,powerset(powerset(esk29_1(esk4_1(esk28_0)))))|~in(X2,X1)|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[10514,10110,theory(equality)])).
% cnf(10569,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))=X1|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|empty_set=esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),X1)),inference(spm,[status(thm)],[10567,10303,theory(equality)])).
% cnf(10593,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|ordinal(esk32_1(esk4_1(esk28_0)))|$false|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[9425,9888,theory(equality)])).
% cnf(10594,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|ordinal(esk32_1(esk4_1(esk28_0)))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[10593,theory(equality)])).
% cnf(10596,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[10594,305,theory(equality)])).
% cnf(10602,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[10596,10217,theory(equality)])).
% cnf(10721,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|$false|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[9266,9888,theory(equality)])).
% cnf(10722,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[10721,theory(equality)])).
% cnf(10723,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|~in(X1,esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[10722,304,theory(equality)])).
% cnf(10738,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|in(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[10723,10330,theory(equality)])).
% cnf(10971,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))=esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set|ordinal(esk32_1(esk4_1(esk28_0)))|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))))),inference(spm,[status(thm)],[10499,10602,theory(equality)])).
% cnf(11060,negated_conjecture,(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))=esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~subset(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))))),inference(spm,[status(thm)],[10569,10738,theory(equality)])).
% cnf(11428,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))))=esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set|ordinal(esk32_1(esk4_1(esk28_0)))),inference(spm,[status(thm)],[10971,10300,theory(equality)])).
% cnf(11430,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set|~in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[10144,11428,theory(equality)])).
% cnf(11454,negated_conjecture,(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set|ordinal(esk32_1(esk4_1(esk28_0)))),inference(spm,[status(thm)],[11430,10217,theory(equality)])).
% cnf(11456,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[325,11454,theory(equality)])).
% cnf(11556,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|~ordinal(esk29_1(esk4_1(esk28_0)))|$false|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[11456,9888,theory(equality)])).
% cnf(11557,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[11556,theory(equality)])).
% cnf(11569,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[11557,9392,theory(equality)])).
% cnf(11582,negated_conjecture,(ordinal(esk32_1(esk4_1(esk28_0)))),inference(spm,[status(thm)],[11569,305,theory(equality)])).
% cnf(11731,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))))=esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))),inference(spm,[status(thm)],[11060,10438,theory(equality)])).
% cnf(11732,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set|~in(esk7_3(esk28_0,esk29_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[10154,11731,theory(equality)])).
% cnf(11746,negated_conjecture,(esk30_2(esk4_1(esk28_0),esk29_1(esk4_1(esk28_0)))=empty_set|esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))),inference(spm,[status(thm)],[11732,10330,theory(equality)])).
% cnf(11747,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(esk29_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[325,11746,theory(equality)])).
% cnf(11808,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~ordinal(esk29_1(esk4_1(esk28_0)))|$false|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[11747,9888,theory(equality)])).
% cnf(11809,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[11808,theory(equality)])).
% cnf(11813,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))|~in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[11809,9253,theory(equality)])).
% cnf(11825,negated_conjecture,(esk29_1(esk4_1(esk28_0))=esk32_1(esk4_1(esk28_0))),inference(spm,[status(thm)],[11813,304,theory(equality)])).
% cnf(11831,negated_conjecture,(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[325,11825,theory(equality)])).
% cnf(11832,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1)!=X1|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[326,11825,theory(equality)])).
% cnf(11835,negated_conjecture,(esk30_2(esk4_1(esk28_0),X1)!=empty_set|esk32_1(esk4_1(esk28_0))!=X1|~ordinal(X1)|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[299,11825,theory(equality)])).
% cnf(11841,negated_conjecture,(in(esk32_1(esk4_1(esk28_0)),omega)|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[407,11825,theory(equality)])).
% cnf(11842,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[445,11825,theory(equality)])).
% cnf(11843,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[578,11825,theory(equality)])).
% cnf(11852,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1))|~ordinal(esk32_1(esk4_1(esk28_0)))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[428,11825,theory(equality)])).
% cnf(12165,plain,(element(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~ordinal(esk29_1(esk4_1(esk28_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9919,11825,theory(equality)]),11825,theory(equality)]),11825,theory(equality)]),11825,theory(equality)])).
% cnf(12166,plain,(element(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~ordinal(esk29_1(esk4_1(esk28_0)))),inference(rw,[status(thm)],[12165,11825,theory(equality)])).
% cnf(12167,plain,(element(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[12166,11825,theory(equality)]),11582,theory(equality)])).
% cnf(12168,plain,(element(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12167,theory(equality)])).
% cnf(12185,negated_conjecture,(in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))),inference(rw,[status(thm)],[9888,11825,theory(equality)])).
% cnf(12192,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|subset(X1,esk9_5(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),X1))|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(X1,esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))))),inference(rw,[status(thm)],[9924,11825,theory(equality)])).
% cnf(12193,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|subset(X1,esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1))|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(X1,esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12192,11825,theory(equality)]),11825,theory(equality)]),11825,theory(equality)])).
% cnf(12194,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|subset(X1,esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1))|$false|~in(X1,esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[12193,11825,theory(equality)]),11582,theory(equality)])).
% cnf(12195,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|subset(X1,esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1))|$false|~in(X1,esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12194,11825,theory(equality)]),11825,theory(equality)]),11825,theory(equality)])).
% cnf(12196,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|subset(X1,esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1))|~in(X1,esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(cn,[status(thm)],[12195,theory(equality)])).
% cnf(12197,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk9_5(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),X1)!=X1|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(X1,esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))))),inference(rw,[status(thm)],[9923,11825,theory(equality)])).
% cnf(12198,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1)!=X1|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(X1,esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12197,11825,theory(equality)]),11825,theory(equality)]),11825,theory(equality)])).
% cnf(12199,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1)!=X1|$false|~in(X1,esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[12198,11825,theory(equality)]),11582,theory(equality)])).
% cnf(12200,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1)!=X1|$false|~in(X1,esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12199,11825,theory(equality)]),11825,theory(equality)]),11825,theory(equality)])).
% cnf(12201,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(cn,[status(thm)],[12200,theory(equality)])).
% cnf(12202,plain,(in(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(X1,esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9920,11825,theory(equality)]),11825,theory(equality)]),11825,theory(equality)]),11825,theory(equality)]),11825,theory(equality)]),11825,theory(equality)])).
% cnf(12203,plain,(in(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~ordinal(esk29_1(esk4_1(esk28_0)))|~in(X1,esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))))),inference(rw,[status(thm)],[12202,11825,theory(equality)])).
% cnf(12204,plain,(in(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|$false|~in(X1,esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[12203,11825,theory(equality)]),11582,theory(equality)])).
% cnf(12205,plain,(in(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|$false|~in(X1,esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12204,11825,theory(equality)]),11825,theory(equality)]),11825,theory(equality)])).
% cnf(12206,plain,(in(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),X1),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~in(X1,esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(cn,[status(thm)],[12205,theory(equality)])).
% cnf(12242,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk8_4(esk28_0,esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)),esk29_1(esk4_1(esk28_0)))!=empty_set|~ordinal(esk29_1(esk4_1(esk28_0)))),inference(rw,[status(thm)],[9922,11825,theory(equality)])).
% cnf(12243,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))!=empty_set|~ordinal(esk29_1(esk4_1(esk28_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12242,11825,theory(equality)]),11825,theory(equality)]),11825,theory(equality)])).
% cnf(12244,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))!=empty_set|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[12243,11825,theory(equality)]),11582,theory(equality)])).
% cnf(12245,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))!=empty_set),inference(cn,[status(thm)],[12244,theory(equality)])).
% cnf(12258,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk29_1(esk4_1(esk28_0)),omega)|~ordinal(esk29_1(esk4_1(esk28_0)))),inference(rw,[status(thm)],[9921,11825,theory(equality)])).
% cnf(12259,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),omega)|~ordinal(esk29_1(esk4_1(esk28_0)))),inference(rw,[status(thm)],[12258,11825,theory(equality)])).
% cnf(12260,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),omega)|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[12259,11825,theory(equality)]),11582,theory(equality)])).
% cnf(12261,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),omega)),inference(cn,[status(thm)],[12260,theory(equality)])).
% cnf(12365,negated_conjecture,(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set|$false|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[11831,11582,theory(equality)])).
% cnf(12366,negated_conjecture,(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12365,theory(equality)])).
% cnf(12367,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1)!=X1|$false|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[11832,11582,theory(equality)])).
% cnf(12368,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1)!=X1|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12367,theory(equality)])).
% cnf(12370,negated_conjecture,(in(esk32_1(esk4_1(esk28_0)),omega)|$false|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[11841,11582,theory(equality)])).
% cnf(12371,negated_conjecture,(in(esk32_1(esk4_1(esk28_0)),omega)|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12370,theory(equality)])).
% cnf(12372,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|$false|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[11842,11582,theory(equality)])).
% cnf(12373,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12372,theory(equality)])).
% cnf(12374,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|$false|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[11843,11582,theory(equality)])).
% cnf(12375,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12374,theory(equality)])).
% cnf(12388,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1))|$false|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[11852,11582,theory(equality)])).
% cnf(12389,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1))|~in(esk32_1(esk4_1(esk28_0)),succ(esk28_0))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12388,theory(equality)])).
% cnf(12711,negated_conjecture,(esk33_2(esk4_1(esk28_0),X1)=X2|empty_set=X1|in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(X2,X1)|~subset(esk33_2(esk4_1(esk28_0),X1),X2)),inference(spm,[status(thm)],[307,12261,theory(equality)])).
% cnf(12712,negated_conjecture,(empty_set=X1|in(esk33_2(esk4_1(esk28_0),X1),X1)|in(esk29_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))),inference(spm,[status(thm)],[306,12261,theory(equality)])).
% cnf(12713,negated_conjecture,(esk33_2(esk4_1(esk28_0),X1)=X2|empty_set=X1|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(X2,X1)|~subset(esk33_2(esk4_1(esk28_0),X1),X2)),inference(rw,[status(thm)],[12711,11825,theory(equality)])).
% cnf(12714,negated_conjecture,(esk33_2(esk4_1(esk28_0),X1)=X2|empty_set=X1|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(X2,X1)|~subset(esk33_2(esk4_1(esk28_0),X1),X2)),inference(cn,[status(thm)],[12713,theory(equality)])).
% cnf(12715,negated_conjecture,(empty_set=X1|in(esk33_2(esk4_1(esk28_0),X1),X1)|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))),inference(rw,[status(thm)],[12712,11825,theory(equality)])).
% cnf(12716,negated_conjecture,(empty_set=X1|in(esk33_2(esk4_1(esk28_0),X1),X1)|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))),inference(cn,[status(thm)],[12715,theory(equality)])).
% cnf(12721,negated_conjecture,(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set|$false|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[12366,12185,theory(equality)])).
% cnf(12722,negated_conjecture,(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12721,theory(equality)])).
% cnf(12723,negated_conjecture,(esk30_2(esk4_1(esk28_0),X1)!=empty_set|esk32_1(esk4_1(esk28_0))!=X1|~ordinal(X1)|$false|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[11835,12185,theory(equality)])).
% cnf(12724,negated_conjecture,(esk30_2(esk4_1(esk28_0),X1)!=empty_set|esk32_1(esk4_1(esk28_0))!=X1|~ordinal(X1)|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12723,theory(equality)])).
% cnf(12725,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1)!=X1|$false|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[12368,12185,theory(equality)])).
% cnf(12726,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12725,theory(equality)])).
% cnf(12731,negated_conjecture,(in(esk32_1(esk4_1(esk28_0)),omega)|$false|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[12371,12185,theory(equality)])).
% cnf(12732,negated_conjecture,(in(esk32_1(esk4_1(esk28_0)),omega)|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12731,theory(equality)])).
% cnf(12741,plain,(empty_set=esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|in(esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[12716,12168,theory(equality)])).
% cnf(12746,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1))|$false|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[12389,12185,theory(equality)])).
% cnf(12747,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12746,theory(equality)])).
% cnf(12748,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|$false|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[12373,12185,theory(equality)])).
% cnf(12749,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12748,theory(equality)])).
% cnf(12760,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|$false|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(rw,[status(thm)],[12375,12185,theory(equality)])).
% cnf(12761,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[12760,theory(equality)])).
% cnf(12766,plain,(in(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[12206,12741,theory(equality)])).
% cnf(12767,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|subset(esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))),esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[12196,12741,theory(equality)])).
% cnf(12834,negated_conjecture,(esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))=esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))))|empty_set=esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~element(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[12714,12767,theory(equality)])).
% cnf(12841,plain,(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))))=esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|~in(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[12834,12168,theory(equality)])).
% cnf(12842,plain,(esk9_5(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))))=esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[12841,12766,theory(equality)])).
% cnf(12843,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~in(esk33_2(esk4_1(esk28_0),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))),esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[12201,12842,theory(equality)])).
% cnf(12848,plain,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(spm,[status(thm)],[12843,12741,theory(equality)])).
% cnf(12857,plain,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[8959,12848,theory(equality)])).
% cnf(12859,plain,(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0)))=esk32_1(esk4_1(esk28_0))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[8953,12848,theory(equality)])).
% cnf(12861,plain,(empty_set=X1|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)),inference(spm,[status(thm)],[8967,12848,theory(equality)])).
% cnf(12863,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[12726,12848,theory(equality)])).
% cnf(12864,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk30_2(esk4_1(esk28_0),X1)!=empty_set|esk32_1(esk4_1(esk28_0))!=X1|~ordinal(X1)),inference(spm,[status(thm)],[12724,12848,theory(equality)])).
% cnf(12866,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[12747,12848,theory(equality)])).
% cnf(12869,negated_conjecture,(in(esk32_1(esk4_1(esk28_0)),omega)|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[12732,12848,theory(equality)])).
% cnf(12870,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[12749,12848,theory(equality)])).
% cnf(12871,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[12761,12848,theory(equality)])).
% cnf(12936,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set|~ordinal(esk32_1(esk4_1(esk28_0)))),inference(er,[status(thm)],[12864,theory(equality)])).
% cnf(12937,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set|$false),inference(rw,[status(thm)],[12936,11582,theory(equality)])).
% cnf(12938,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set),inference(cn,[status(thm)],[12937,theory(equality)])).
% cnf(13027,plain,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|empty_set=X1|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk32_1(esk4_1(esk28_0)),omega)),inference(spm,[status(thm)],[12861,12859,theory(equality)])).
% cnf(13028,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|empty_set=X1|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))),inference(spm,[status(thm)],[13027,12869,theory(equality)])).
% cnf(13030,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|empty_set=esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[13028,12870,theory(equality)])).
% cnf(13041,plain,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk32_1(esk4_1(esk28_0)),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[12857,12859,theory(equality)])).
% cnf(13042,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[13041,12869,theory(equality)])).
% cnf(13049,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[12866,13030,theory(equality)])).
% cnf(13050,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[12871,13030,theory(equality)])).
% cnf(13066,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))=X1|empty_set=esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),X1)),inference(spm,[status(thm)],[13042,12870,theory(equality)])).
% cnf(13162,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))=esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))))|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))))),inference(spm,[status(thm)],[13066,13050,theory(equality)])).
% cnf(13266,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))))=esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[13162,13049,theory(equality)])).
% cnf(13267,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set|~in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[12863,13266,theory(equality)])).
% cnf(13281,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set|esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[13267,13030,theory(equality)])).
% cnf(13282,negated_conjecture,(esk8_4(esk28_0,esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)),esk32_1(esk4_1(esk28_0)))=empty_set),inference(spm,[status(thm)],[12938,13281,theory(equality)])).
% cnf(13465,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))|$false),inference(rw,[status(thm)],[12245,13282,theory(equality)])).
% cnf(13466,plain,(in(esk32_1(esk4_1(esk28_0)),esk4_1(esk28_0))),inference(cn,[status(thm)],[13465,theory(equality)])).
% cnf(13543,plain,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(spm,[status(thm)],[8959,13466,theory(equality)])).
% cnf(13545,plain,(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0)))=esk32_1(esk4_1(esk28_0))),inference(spm,[status(thm)],[8953,13466,theory(equality)])).
% cnf(13547,plain,(empty_set=X1|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))))))|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)),inference(spm,[status(thm)],[8967,13466,theory(equality)])).
% cnf(13551,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|$false),inference(rw,[status(thm)],[12761,13466,theory(equality)])).
% cnf(13552,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(cn,[status(thm)],[13551,theory(equality)])).
% cnf(13553,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))|$false),inference(rw,[status(thm)],[12749,13466,theory(equality)])).
% cnf(13554,negated_conjecture,(element(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))),powerset(powerset(esk32_1(esk4_1(esk28_0)))))),inference(cn,[status(thm)],[13553,theory(equality)])).
% cnf(13555,negated_conjecture,(in(esk32_1(esk4_1(esk28_0)),omega)|$false),inference(rw,[status(thm)],[12732,13466,theory(equality)])).
% cnf(13556,negated_conjecture,(in(esk32_1(esk4_1(esk28_0)),omega)),inference(cn,[status(thm)],[13555,theory(equality)])).
% cnf(13569,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|$false),inference(rw,[status(thm)],[12747,13466,theory(equality)])).
% cnf(13570,negated_conjecture,(subset(X1,esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(cn,[status(thm)],[13569,theory(equality)])).
% cnf(13578,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|$false),inference(rw,[status(thm)],[12726,13466,theory(equality)])).
% cnf(13579,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),X1)!=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(cn,[status(thm)],[13578,theory(equality)])).
% cnf(13580,negated_conjecture,(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set|$false),inference(rw,[status(thm)],[12722,13466,theory(equality)])).
% cnf(13581,negated_conjecture,(esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))!=empty_set),inference(cn,[status(thm)],[13580,theory(equality)])).
% cnf(13646,plain,(empty_set=X1|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)),inference(rw,[status(thm)],[13547,13545,theory(equality)])).
% cnf(13647,plain,(empty_set=X1|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[13646,13545,theory(equality)]),13556,theory(equality)])).
% cnf(13648,plain,(empty_set=X1|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X1)|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))),inference(cn,[status(thm)],[13647,theory(equality)])).
% cnf(13649,negated_conjecture,(empty_set=esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))|in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[13648,13554,theory(equality)])).
% cnf(13654,negated_conjecture,(in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(sr,[status(thm)],[13649,13581,theory(equality)])).
% cnf(13661,plain,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(esk6_2(esk28_0,esk32_1(esk4_1(esk28_0))),omega)|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(rw,[status(thm)],[13543,13545,theory(equality)])).
% cnf(13662,plain,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|$false|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[13661,13545,theory(equality)]),13556,theory(equality)])).
% cnf(13663,plain,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1)=X2|empty_set=X1|~element(X1,powerset(powerset(esk32_1(esk4_1(esk28_0)))))|~in(X2,X1)|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),X1),X2)),inference(cn,[status(thm)],[13662,theory(equality)])).
% cnf(13664,negated_conjecture,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))=X1|empty_set=esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),X1)),inference(spm,[status(thm)],[13663,13554,theory(equality)])).
% cnf(13669,negated_conjecture,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))=X1|~in(X1,esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),X1)),inference(sr,[status(thm)],[13664,13581,theory(equality)])).
% cnf(13677,negated_conjecture,(subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))))),inference(spm,[status(thm)],[13570,13654,theory(equality)])).
% cnf(13678,negated_conjecture,(in(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[13552,13654,theory(equality)])).
% cnf(13720,negated_conjecture,(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))=esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))))|~subset(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))))),inference(spm,[status(thm)],[13669,13678,theory(equality)])).
% cnf(13913,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))))=esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))|$false),inference(rw,[status(thm)],[13720,13677,theory(equality)])).
% cnf(13914,negated_conjecture,(esk31_3(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)),esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))))=esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(cn,[status(thm)],[13913,theory(equality)])).
% cnf(13915,negated_conjecture,(~in(esk7_3(esk28_0,esk32_1(esk4_1(esk28_0)),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0)))),esk30_2(esk4_1(esk28_0),esk32_1(esk4_1(esk28_0))))),inference(spm,[status(thm)],[13579,13914,theory(equality)])).
% cnf(13926,negated_conjecture,($false),inference(rw,[status(thm)],[13915,13654,theory(equality)])).
% cnf(13927,negated_conjecture,($false),inference(cn,[status(thm)],[13926,theory(equality)])).
% cnf(13928,negated_conjecture,($false),13927,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 4410
% # ...of these trivial                : 44
% # ...subsumed                        : 2255
% # ...remaining for further processing: 2111
% # Other redundant clauses eliminated : 24
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 975
% # Backward-rewritten                 : 710
% # Generated clauses                  : 7631
% # ...of the previous two non-trivial : 7039
% # Contextual simplify-reflections    : 0
% # Paramodulations                    : 7585
% # Factorizations                     : 4
% # Equation resolutions               : 54
% # Current number of processed clauses: 414
% #    Positive orientable unit clauses: 82
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 14
% #    Non-unit-clauses                : 318
% # Current number of unprocessed clauses: 52
% # ...number of literals in the above : 178
% # Clause-clause subsumption calls (NU) : 37141
% # Rec. Clause-clause subsumption calls : 5063
% # Unit Clause-clause subsumption calls : 714
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 44
% # Indexed BW rewrite successes       : 12
% # Backwards rewriting index:   389 leaves,   1.36+/-1.101 terms/leaf
% # Paramod-from index:          115 leaves,   1.03+/-0.279 terms/leaf
% # Paramod-into index:          227 leaves,   1.15+/-0.577 terms/leaf
% # -------------------------------------------------
% # User time              : 0.907 s
% # System time            : 0.024 s
% # Total time             : 0.931 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.23 CPU 1.36 WC
% FINAL PrfWatch: 1.23 CPU 1.36 WC
% SZS output end Solution for /tmp/SystemOnTPTP17252/SEU299+1.tptp
% 
%------------------------------------------------------------------------------