TSTP Solution File: SEU286+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU286+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 : art02.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 03:02:27 EST 2010
% Result : Theorem 20.57s
% Output : Solution 20.57s
% 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/SystemOnTPTP11027/SEU286+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP11027/SEU286+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP11027/SEU286+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 11123
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% PrfWatch: 3.90 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% PrfWatch: 7.89 CPU 8.02 WC
% PrfWatch: 9.88 CPU 10.03 WC
% PrfWatch: 11.73 CPU 12.09 WC
% PrfWatch: 13.34 CPU 14.10 WC
% PrfWatch: 15.20 CPU 16.10 WC
% # Preprocessing time : 0.021 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 17.20 CPU 18.11 WC
% PrfWatch: 19.19 CPU 20.11 WC
% # SZS output start CNFRefutation.
% fof(5, axiom,![X1]:![X2]:((~(empty(X1))&relation(X2))=>![X3]:(![X4]:![X5]:![X6]:((((X4=X5&?[X7]:?[X8]:((ordered_pair(X7,X8)=X5&in(X7,X1))&?[X9]:((X7=X9&in(X8,X9))&![X10]:(in(X10,X9)=>in(ordered_pair(X8,X10),X2)))))&X4=X6)&?[X11]:?[X12]:((ordered_pair(X11,X12)=X6&in(X11,X1))&?[X13]:((X11=X13&in(X12,X13))&![X14]:(in(X14,X13)=>in(ordered_pair(X12,X14),X2)))))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,cartesian_product2(X1,X3))&X6=X5)&?[X15]:?[X16]:((ordered_pair(X15,X16)=X5&in(X15,X1))&?[X17]:((X15=X17&in(X16,X17))&![X18]:(in(X18,X17)=>in(ordered_pair(X16,X18),X2)))))))),file('/tmp/SRASS.s.p', s1_tarski__e10_24__wellord2__2)).
% fof(19, conjecture,![X1]:![X2]:((~(empty(X1))&relation(X2))=>![X3]:?[X4]:![X5]:(in(X5,X4)<=>(in(X5,cartesian_product2(X1,X3))&?[X6]:?[X7]:((ordered_pair(X6,X7)=X5&in(X6,X1))&?[X8]:((X6=X8&in(X7,X8))&![X9]:(in(X9,X8)=>in(ordered_pair(X7,X9),X2))))))),file('/tmp/SRASS.s.p', s1_xboole_0__e10_24__wellord2__1)).
% fof(20, negated_conjecture,~(![X1]:![X2]:((~(empty(X1))&relation(X2))=>![X3]:?[X4]:![X5]:(in(X5,X4)<=>(in(X5,cartesian_product2(X1,X3))&?[X6]:?[X7]:((ordered_pair(X6,X7)=X5&in(X6,X1))&?[X8]:((X6=X8&in(X7,X8))&![X9]:(in(X9,X8)=>in(ordered_pair(X7,X9),X2)))))))),inference(assume_negation,[status(cth)],[19])).
% fof(24, plain,![X1]:![X2]:((~(empty(X1))&relation(X2))=>![X3]:(![X4]:![X5]:![X6]:((((X4=X5&?[X7]:?[X8]:((ordered_pair(X7,X8)=X5&in(X7,X1))&?[X9]:((X7=X9&in(X8,X9))&![X10]:(in(X10,X9)=>in(ordered_pair(X8,X10),X2)))))&X4=X6)&?[X11]:?[X12]:((ordered_pair(X11,X12)=X6&in(X11,X1))&?[X13]:((X11=X13&in(X12,X13))&![X14]:(in(X14,X13)=>in(ordered_pair(X12,X14),X2)))))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,cartesian_product2(X1,X3))&X6=X5)&?[X15]:?[X16]:((ordered_pair(X15,X16)=X5&in(X15,X1))&?[X17]:((X15=X17&in(X16,X17))&![X18]:(in(X18,X17)=>in(ordered_pair(X16,X18),X2)))))))),inference(fof_simplification,[status(thm)],[5,theory(equality)])).
% fof(26, negated_conjecture,~(![X1]:![X2]:((~(empty(X1))&relation(X2))=>![X3]:?[X4]:![X5]:(in(X5,X4)<=>(in(X5,cartesian_product2(X1,X3))&?[X6]:?[X7]:((ordered_pair(X6,X7)=X5&in(X6,X1))&?[X8]:((X6=X8&in(X7,X8))&![X9]:(in(X9,X8)=>in(ordered_pair(X7,X9),X2)))))))),inference(fof_simplification,[status(thm)],[20,theory(equality)])).
% fof(38, plain,![X1]:![X2]:((empty(X1)|~(relation(X2)))|![X3]:(?[X4]:?[X5]:?[X6]:((((X4=X5&?[X7]:?[X8]:((ordered_pair(X7,X8)=X5&in(X7,X1))&?[X9]:((X7=X9&in(X8,X9))&![X10]:(~(in(X10,X9))|in(ordered_pair(X8,X10),X2)))))&X4=X6)&?[X11]:?[X12]:((ordered_pair(X11,X12)=X6&in(X11,X1))&?[X13]:((X11=X13&in(X12,X13))&![X14]:(~(in(X14,X13))|in(ordered_pair(X12,X14),X2)))))&~(X5=X6))|?[X4]:![X5]:((~(in(X5,X4))|?[X6]:((in(X6,cartesian_product2(X1,X3))&X6=X5)&?[X15]:?[X16]:((ordered_pair(X15,X16)=X5&in(X15,X1))&?[X17]:((X15=X17&in(X16,X17))&![X18]:(~(in(X18,X17))|in(ordered_pair(X16,X18),X2))))))&(![X6]:((~(in(X6,cartesian_product2(X1,X3)))|~(X6=X5))|![X15]:![X16]:((~(ordered_pair(X15,X16)=X5)|~(in(X15,X1)))|![X17]:((~(X15=X17)|~(in(X16,X17)))|?[X18]:(in(X18,X17)&~(in(ordered_pair(X16,X18),X2))))))|in(X5,X4))))),inference(fof_nnf,[status(thm)],[24])).
% fof(39, plain,![X19]:![X20]:((empty(X19)|~(relation(X20)))|![X21]:(?[X22]:?[X23]:?[X24]:((((X22=X23&?[X25]:?[X26]:((ordered_pair(X25,X26)=X23&in(X25,X19))&?[X27]:((X25=X27&in(X26,X27))&![X28]:(~(in(X28,X27))|in(ordered_pair(X26,X28),X20)))))&X22=X24)&?[X29]:?[X30]:((ordered_pair(X29,X30)=X24&in(X29,X19))&?[X31]:((X29=X31&in(X30,X31))&![X32]:(~(in(X32,X31))|in(ordered_pair(X30,X32),X20)))))&~(X23=X24))|?[X33]:![X34]:((~(in(X34,X33))|?[X35]:((in(X35,cartesian_product2(X19,X21))&X35=X34)&?[X36]:?[X37]:((ordered_pair(X36,X37)=X34&in(X36,X19))&?[X38]:((X36=X38&in(X37,X38))&![X39]:(~(in(X39,X38))|in(ordered_pair(X37,X39),X20))))))&(![X40]:((~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34))|![X41]:![X42]:((~(ordered_pair(X41,X42)=X34)|~(in(X41,X19)))|![X43]:((~(X41=X43)|~(in(X42,X43)))|?[X44]:(in(X44,X43)&~(in(ordered_pair(X42,X44),X20))))))|in(X34,X33))))),inference(variable_rename,[status(thm)],[38])).
% fof(40, plain,![X19]:![X20]:((empty(X19)|~(relation(X20)))|![X21]:(((((esk3_3(X19,X20,X21)=esk4_3(X19,X20,X21)&((ordered_pair(esk6_3(X19,X20,X21),esk7_3(X19,X20,X21))=esk4_3(X19,X20,X21)&in(esk6_3(X19,X20,X21),X19))&((esk6_3(X19,X20,X21)=esk8_3(X19,X20,X21)&in(esk7_3(X19,X20,X21),esk8_3(X19,X20,X21)))&![X28]:(~(in(X28,esk8_3(X19,X20,X21)))|in(ordered_pair(esk7_3(X19,X20,X21),X28),X20)))))&esk3_3(X19,X20,X21)=esk5_3(X19,X20,X21))&((ordered_pair(esk9_3(X19,X20,X21),esk10_3(X19,X20,X21))=esk5_3(X19,X20,X21)&in(esk9_3(X19,X20,X21),X19))&((esk9_3(X19,X20,X21)=esk11_3(X19,X20,X21)&in(esk10_3(X19,X20,X21),esk11_3(X19,X20,X21)))&![X32]:(~(in(X32,esk11_3(X19,X20,X21)))|in(ordered_pair(esk10_3(X19,X20,X21),X32),X20)))))&~(esk4_3(X19,X20,X21)=esk5_3(X19,X20,X21)))|![X34]:((~(in(X34,esk12_3(X19,X20,X21)))|((in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))&esk13_4(X19,X20,X21,X34)=X34)&((ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34&in(esk14_4(X19,X20,X21,X34),X19))&((esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)&in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34)))&![X39]:(~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))))))&(![X40]:((~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34))|![X41]:![X42]:((~(ordered_pair(X41,X42)=X34)|~(in(X41,X19)))|![X43]:((~(X41=X43)|~(in(X42,X43)))|(in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)&~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))))))|in(X34,esk12_3(X19,X20,X21)))))),inference(skolemize,[status(esa)],[39])).
% fof(41, plain,![X19]:![X20]:![X21]:![X28]:![X32]:![X34]:![X39]:![X40]:![X41]:![X42]:![X43]:((((((((~(X41=X43)|~(in(X42,X43)))|(in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)&~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21)))&(((((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))&(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)&in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))))&(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34&in(esk14_4(X19,X20,X21,X34),X19)))&(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))&esk13_4(X19,X20,X21,X34)=X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(((((~(in(X32,esk11_3(X19,X20,X21)))|in(ordered_pair(esk10_3(X19,X20,X21),X32),X20))&(esk9_3(X19,X20,X21)=esk11_3(X19,X20,X21)&in(esk10_3(X19,X20,X21),esk11_3(X19,X20,X21))))&(ordered_pair(esk9_3(X19,X20,X21),esk10_3(X19,X20,X21))=esk5_3(X19,X20,X21)&in(esk9_3(X19,X20,X21),X19)))&(((((~(in(X28,esk8_3(X19,X20,X21)))|in(ordered_pair(esk7_3(X19,X20,X21),X28),X20))&(esk6_3(X19,X20,X21)=esk8_3(X19,X20,X21)&in(esk7_3(X19,X20,X21),esk8_3(X19,X20,X21))))&(ordered_pair(esk6_3(X19,X20,X21),esk7_3(X19,X20,X21))=esk4_3(X19,X20,X21)&in(esk6_3(X19,X20,X21),X19)))&esk3_3(X19,X20,X21)=esk4_3(X19,X20,X21))&esk3_3(X19,X20,X21)=esk5_3(X19,X20,X21)))&~(esk4_3(X19,X20,X21)=esk5_3(X19,X20,X21))))|(empty(X19)|~(relation(X20)))),inference(shift_quantors,[status(thm)],[40])).
% fof(42, plain,![X19]:![X20]:![X21]:![X28]:![X32]:![X34]:![X39]:![X40]:![X41]:![X42]:![X43]:(((((((((~(in(X32,esk11_3(X19,X20,X21)))|in(ordered_pair(esk10_3(X19,X20,X21),X32),X20))|((((in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))&(((esk9_3(X19,X20,X21)=esk11_3(X19,X20,X21)|((((in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))&((in(esk10_3(X19,X20,X21),esk11_3(X19,X20,X21))|((((in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk9_3(X19,X20,X21),esk10_3(X19,X20,X21))=esk5_3(X19,X20,X21)|((((in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))&((in(esk9_3(X19,X20,X21),X19)|((((in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))))&(((((((~(in(X28,esk8_3(X19,X20,X21)))|in(ordered_pair(esk7_3(X19,X20,X21),X28),X20))|((((in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))&(((esk6_3(X19,X20,X21)=esk8_3(X19,X20,X21)|((((in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))&((in(esk7_3(X19,X20,X21),esk8_3(X19,X20,X21))|((((in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk6_3(X19,X20,X21),esk7_3(X19,X20,X21))=esk4_3(X19,X20,X21)|((((in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))&((in(esk6_3(X19,X20,X21),X19)|((((in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))))&((esk3_3(X19,X20,X21)=esk4_3(X19,X20,X21)|((((in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20)))))&((esk3_3(X19,X20,X21)=esk5_3(X19,X20,X21)|((((in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))))&((~(esk4_3(X19,X20,X21)=esk5_3(X19,X20,X21))|((((in(esk17_8(X19,X20,X21,X34,X40,X41,X42,X43),X43)|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20)))))&(((((((~(in(X32,esk11_3(X19,X20,X21)))|in(ordered_pair(esk10_3(X19,X20,X21),X32),X20))|((((~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))&(((esk9_3(X19,X20,X21)=esk11_3(X19,X20,X21)|((((~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))&((in(esk10_3(X19,X20,X21),esk11_3(X19,X20,X21))|((((~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk9_3(X19,X20,X21),esk10_3(X19,X20,X21))=esk5_3(X19,X20,X21)|((((~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))&((in(esk9_3(X19,X20,X21),X19)|((((~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))))&(((((((~(in(X28,esk8_3(X19,X20,X21)))|in(ordered_pair(esk7_3(X19,X20,X21),X28),X20))|((((~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))&(((esk6_3(X19,X20,X21)=esk8_3(X19,X20,X21)|((((~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))&((in(esk7_3(X19,X20,X21),esk8_3(X19,X20,X21))|((((~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk6_3(X19,X20,X21),esk7_3(X19,X20,X21))=esk4_3(X19,X20,X21)|((((~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))&((in(esk6_3(X19,X20,X21),X19)|((((~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))))&((esk3_3(X19,X20,X21)=esk4_3(X19,X20,X21)|((((~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20)))))&((esk3_3(X19,X20,X21)=esk5_3(X19,X20,X21)|((((~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))))&((~(esk4_3(X19,X20,X21)=esk5_3(X19,X20,X21))|((((~(in(ordered_pair(X42,esk17_8(X19,X20,X21,X34,X40,X41,X42,X43)),X20))|(~(X41=X43)|~(in(X42,X43))))|(~(ordered_pair(X41,X42)=X34)|~(in(X41,X19))))|(~(in(X40,cartesian_product2(X19,X21)))|~(X40=X34)))|in(X34,esk12_3(X19,X20,X21))))|(empty(X19)|~(relation(X20))))))&((((((((((~(in(X32,esk11_3(X19,X20,X21)))|in(ordered_pair(esk10_3(X19,X20,X21),X32),X20))|((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk9_3(X19,X20,X21)=esk11_3(X19,X20,X21)|((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk10_3(X19,X20,X21),esk11_3(X19,X20,X21))|((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk9_3(X19,X20,X21),esk10_3(X19,X20,X21))=esk5_3(X19,X20,X21)|((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk9_3(X19,X20,X21),X19)|((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((((((~(in(X28,esk8_3(X19,X20,X21)))|in(ordered_pair(esk7_3(X19,X20,X21),X28),X20))|((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk6_3(X19,X20,X21)=esk8_3(X19,X20,X21)|((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk7_3(X19,X20,X21),esk8_3(X19,X20,X21))|((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk6_3(X19,X20,X21),esk7_3(X19,X20,X21))=esk4_3(X19,X20,X21)|((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk6_3(X19,X20,X21),X19)|((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((esk3_3(X19,X20,X21)=esk4_3(X19,X20,X21)|((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))&((esk3_3(X19,X20,X21)=esk5_3(X19,X20,X21)|((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((~(esk4_3(X19,X20,X21)=esk5_3(X19,X20,X21))|((~(in(X39,esk16_4(X19,X20,X21,X34)))|in(ordered_pair(esk15_4(X19,X20,X21,X34),X39),X20))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))&((((((((~(in(X32,esk11_3(X19,X20,X21)))|in(ordered_pair(esk10_3(X19,X20,X21),X32),X20))|(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk9_3(X19,X20,X21)=esk11_3(X19,X20,X21)|(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk10_3(X19,X20,X21),esk11_3(X19,X20,X21))|(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk9_3(X19,X20,X21),esk10_3(X19,X20,X21))=esk5_3(X19,X20,X21)|(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk9_3(X19,X20,X21),X19)|(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((((((~(in(X28,esk8_3(X19,X20,X21)))|in(ordered_pair(esk7_3(X19,X20,X21),X28),X20))|(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk6_3(X19,X20,X21)=esk8_3(X19,X20,X21)|(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk7_3(X19,X20,X21),esk8_3(X19,X20,X21))|(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk6_3(X19,X20,X21),esk7_3(X19,X20,X21))=esk4_3(X19,X20,X21)|(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk6_3(X19,X20,X21),X19)|(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((esk3_3(X19,X20,X21)=esk4_3(X19,X20,X21)|(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))&((esk3_3(X19,X20,X21)=esk5_3(X19,X20,X21)|(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((~(esk4_3(X19,X20,X21)=esk5_3(X19,X20,X21))|(esk14_4(X19,X20,X21,X34)=esk16_4(X19,X20,X21,X34)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))&(((((((~(in(X32,esk11_3(X19,X20,X21)))|in(ordered_pair(esk10_3(X19,X20,X21),X32),X20))|(in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk9_3(X19,X20,X21)=esk11_3(X19,X20,X21)|(in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk10_3(X19,X20,X21),esk11_3(X19,X20,X21))|(in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk9_3(X19,X20,X21),esk10_3(X19,X20,X21))=esk5_3(X19,X20,X21)|(in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk9_3(X19,X20,X21),X19)|(in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((((((~(in(X28,esk8_3(X19,X20,X21)))|in(ordered_pair(esk7_3(X19,X20,X21),X28),X20))|(in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk6_3(X19,X20,X21)=esk8_3(X19,X20,X21)|(in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk7_3(X19,X20,X21),esk8_3(X19,X20,X21))|(in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk6_3(X19,X20,X21),esk7_3(X19,X20,X21))=esk4_3(X19,X20,X21)|(in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk6_3(X19,X20,X21),X19)|(in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((esk3_3(X19,X20,X21)=esk4_3(X19,X20,X21)|(in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))&((esk3_3(X19,X20,X21)=esk5_3(X19,X20,X21)|(in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((~(esk4_3(X19,X20,X21)=esk5_3(X19,X20,X21))|(in(esk15_4(X19,X20,X21,X34),esk16_4(X19,X20,X21,X34))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))))&((((((((~(in(X32,esk11_3(X19,X20,X21)))|in(ordered_pair(esk10_3(X19,X20,X21),X32),X20))|(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk9_3(X19,X20,X21)=esk11_3(X19,X20,X21)|(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk10_3(X19,X20,X21),esk11_3(X19,X20,X21))|(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk9_3(X19,X20,X21),esk10_3(X19,X20,X21))=esk5_3(X19,X20,X21)|(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk9_3(X19,X20,X21),X19)|(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((((((~(in(X28,esk8_3(X19,X20,X21)))|in(ordered_pair(esk7_3(X19,X20,X21),X28),X20))|(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk6_3(X19,X20,X21)=esk8_3(X19,X20,X21)|(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk7_3(X19,X20,X21),esk8_3(X19,X20,X21))|(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk6_3(X19,X20,X21),esk7_3(X19,X20,X21))=esk4_3(X19,X20,X21)|(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk6_3(X19,X20,X21),X19)|(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((esk3_3(X19,X20,X21)=esk4_3(X19,X20,X21)|(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))&((esk3_3(X19,X20,X21)=esk5_3(X19,X20,X21)|(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((~(esk4_3(X19,X20,X21)=esk5_3(X19,X20,X21))|(ordered_pair(esk14_4(X19,X20,X21,X34),esk15_4(X19,X20,X21,X34))=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))&(((((((~(in(X32,esk11_3(X19,X20,X21)))|in(ordered_pair(esk10_3(X19,X20,X21),X32),X20))|(in(esk14_4(X19,X20,X21,X34),X19)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk9_3(X19,X20,X21)=esk11_3(X19,X20,X21)|(in(esk14_4(X19,X20,X21,X34),X19)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk10_3(X19,X20,X21),esk11_3(X19,X20,X21))|(in(esk14_4(X19,X20,X21,X34),X19)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk9_3(X19,X20,X21),esk10_3(X19,X20,X21))=esk5_3(X19,X20,X21)|(in(esk14_4(X19,X20,X21,X34),X19)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk9_3(X19,X20,X21),X19)|(in(esk14_4(X19,X20,X21,X34),X19)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((((((~(in(X28,esk8_3(X19,X20,X21)))|in(ordered_pair(esk7_3(X19,X20,X21),X28),X20))|(in(esk14_4(X19,X20,X21,X34),X19)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk6_3(X19,X20,X21)=esk8_3(X19,X20,X21)|(in(esk14_4(X19,X20,X21,X34),X19)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk7_3(X19,X20,X21),esk8_3(X19,X20,X21))|(in(esk14_4(X19,X20,X21,X34),X19)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk6_3(X19,X20,X21),esk7_3(X19,X20,X21))=esk4_3(X19,X20,X21)|(in(esk14_4(X19,X20,X21,X34),X19)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk6_3(X19,X20,X21),X19)|(in(esk14_4(X19,X20,X21,X34),X19)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((esk3_3(X19,X20,X21)=esk4_3(X19,X20,X21)|(in(esk14_4(X19,X20,X21,X34),X19)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))&((esk3_3(X19,X20,X21)=esk5_3(X19,X20,X21)|(in(esk14_4(X19,X20,X21,X34),X19)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((~(esk4_3(X19,X20,X21)=esk5_3(X19,X20,X21))|(in(esk14_4(X19,X20,X21,X34),X19)|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))))&((((((((~(in(X32,esk11_3(X19,X20,X21)))|in(ordered_pair(esk10_3(X19,X20,X21),X32),X20))|(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk9_3(X19,X20,X21)=esk11_3(X19,X20,X21)|(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk10_3(X19,X20,X21),esk11_3(X19,X20,X21))|(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk9_3(X19,X20,X21),esk10_3(X19,X20,X21))=esk5_3(X19,X20,X21)|(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk9_3(X19,X20,X21),X19)|(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((((((~(in(X28,esk8_3(X19,X20,X21)))|in(ordered_pair(esk7_3(X19,X20,X21),X28),X20))|(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk6_3(X19,X20,X21)=esk8_3(X19,X20,X21)|(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk7_3(X19,X20,X21),esk8_3(X19,X20,X21))|(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk6_3(X19,X20,X21),esk7_3(X19,X20,X21))=esk4_3(X19,X20,X21)|(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk6_3(X19,X20,X21),X19)|(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((esk3_3(X19,X20,X21)=esk4_3(X19,X20,X21)|(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))&((esk3_3(X19,X20,X21)=esk5_3(X19,X20,X21)|(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((~(esk4_3(X19,X20,X21)=esk5_3(X19,X20,X21))|(in(esk13_4(X19,X20,X21,X34),cartesian_product2(X19,X21))|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))&(((((((~(in(X32,esk11_3(X19,X20,X21)))|in(ordered_pair(esk10_3(X19,X20,X21),X32),X20))|(esk13_4(X19,X20,X21,X34)=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk9_3(X19,X20,X21)=esk11_3(X19,X20,X21)|(esk13_4(X19,X20,X21,X34)=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk10_3(X19,X20,X21),esk11_3(X19,X20,X21))|(esk13_4(X19,X20,X21,X34)=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk9_3(X19,X20,X21),esk10_3(X19,X20,X21))=esk5_3(X19,X20,X21)|(esk13_4(X19,X20,X21,X34)=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk9_3(X19,X20,X21),X19)|(esk13_4(X19,X20,X21,X34)=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((((((~(in(X28,esk8_3(X19,X20,X21)))|in(ordered_pair(esk7_3(X19,X20,X21),X28),X20))|(esk13_4(X19,X20,X21,X34)=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&(((esk6_3(X19,X20,X21)=esk8_3(X19,X20,X21)|(esk13_4(X19,X20,X21,X34)=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk7_3(X19,X20,X21),esk8_3(X19,X20,X21))|(esk13_4(X19,X20,X21,X34)=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&(((ordered_pair(esk6_3(X19,X20,X21),esk7_3(X19,X20,X21))=esk4_3(X19,X20,X21)|(esk13_4(X19,X20,X21,X34)=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))&((in(esk6_3(X19,X20,X21),X19)|(esk13_4(X19,X20,X21,X34)=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((esk3_3(X19,X20,X21)=esk4_3(X19,X20,X21)|(esk13_4(X19,X20,X21,X34)=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))&((esk3_3(X19,X20,X21)=esk5_3(X19,X20,X21)|(esk13_4(X19,X20,X21,X34)=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20))))))&((~(esk4_3(X19,X20,X21)=esk5_3(X19,X20,X21))|(esk13_4(X19,X20,X21,X34)=X34|~(in(X34,esk12_3(X19,X20,X21)))))|(empty(X19)|~(relation(X20)))))))),inference(distribute,[status(thm)],[41])).
% cnf(43,plain,(empty(X2)|esk13_4(X2,X1,X4,X3)=X3|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))|esk4_3(X2,X1,X4)!=esk5_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[42])).
% cnf(44,plain,(empty(X2)|esk13_4(X2,X1,X4,X3)=X3|esk3_3(X2,X1,X4)=esk5_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[42])).
% cnf(45,plain,(empty(X2)|esk13_4(X2,X1,X4,X3)=X3|esk3_3(X2,X1,X4)=esk4_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[42])).
% cnf(56,plain,(empty(X2)|in(esk13_4(X2,X1,X4,X3),cartesian_product2(X2,X4))|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))|esk4_3(X2,X1,X4)!=esk5_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[42])).
% cnf(57,plain,(empty(X2)|in(esk13_4(X2,X1,X4,X3),cartesian_product2(X2,X4))|esk3_3(X2,X1,X4)=esk5_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[42])).
% cnf(58,plain,(empty(X2)|in(esk13_4(X2,X1,X4,X3),cartesian_product2(X2,X4))|esk3_3(X2,X1,X4)=esk4_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[42])).
% cnf(69,plain,(empty(X2)|in(esk14_4(X2,X1,X4,X3),X2)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))|esk4_3(X2,X1,X4)!=esk5_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[42])).
% cnf(70,plain,(empty(X2)|in(esk14_4(X2,X1,X4,X3),X2)|esk3_3(X2,X1,X4)=esk5_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[42])).
% cnf(71,plain,(empty(X2)|in(esk14_4(X2,X1,X4,X3),X2)|esk3_3(X2,X1,X4)=esk4_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[42])).
% cnf(82,plain,(empty(X2)|ordered_pair(esk14_4(X2,X1,X4,X3),esk15_4(X2,X1,X4,X3))=X3|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))|esk4_3(X2,X1,X4)!=esk5_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[42])).
% cnf(83,plain,(empty(X2)|ordered_pair(esk14_4(X2,X1,X4,X3),esk15_4(X2,X1,X4,X3))=X3|esk3_3(X2,X1,X4)=esk5_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[42])).
% cnf(84,plain,(empty(X2)|ordered_pair(esk14_4(X2,X1,X4,X3),esk15_4(X2,X1,X4,X3))=X3|esk3_3(X2,X1,X4)=esk4_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[42])).
% cnf(95,plain,(empty(X2)|in(esk15_4(X2,X1,X4,X3),esk16_4(X2,X1,X4,X3))|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))|esk4_3(X2,X1,X4)!=esk5_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[42])).
% cnf(96,plain,(empty(X2)|in(esk15_4(X2,X1,X4,X3),esk16_4(X2,X1,X4,X3))|esk3_3(X2,X1,X4)=esk5_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[42])).
% cnf(97,plain,(empty(X2)|in(esk15_4(X2,X1,X4,X3),esk16_4(X2,X1,X4,X3))|esk3_3(X2,X1,X4)=esk4_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[42])).
% cnf(108,plain,(empty(X2)|esk14_4(X2,X1,X4,X3)=esk16_4(X2,X1,X4,X3)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))|esk4_3(X2,X1,X4)!=esk5_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[42])).
% cnf(109,plain,(empty(X2)|esk14_4(X2,X1,X4,X3)=esk16_4(X2,X1,X4,X3)|esk3_3(X2,X1,X4)=esk5_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[42])).
% cnf(110,plain,(empty(X2)|esk14_4(X2,X1,X4,X3)=esk16_4(X2,X1,X4,X3)|esk3_3(X2,X1,X4)=esk4_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[42])).
% cnf(121,plain,(empty(X2)|in(ordered_pair(esk15_4(X2,X1,X4,X3),X5),X1)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))|~in(X5,esk16_4(X2,X1,X4,X3))|esk4_3(X2,X1,X4)!=esk5_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[42])).
% cnf(122,plain,(empty(X2)|in(ordered_pair(esk15_4(X2,X1,X4,X3),X5),X1)|esk3_3(X2,X1,X4)=esk5_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))|~in(X5,esk16_4(X2,X1,X4,X3))),inference(split_conjunct,[status(thm)],[42])).
% cnf(123,plain,(empty(X2)|in(ordered_pair(esk15_4(X2,X1,X4,X3),X5),X1)|esk3_3(X2,X1,X4)=esk4_3(X2,X1,X4)|~relation(X1)|~in(X3,esk12_3(X2,X1,X4))|~in(X5,esk16_4(X2,X1,X4,X3))),inference(split_conjunct,[status(thm)],[42])).
% cnf(134,plain,(empty(X2)|in(X3,esk12_3(X2,X1,X4))|~relation(X1)|X5!=X3|~in(X5,cartesian_product2(X2,X4))|~in(X6,X2)|ordered_pair(X6,X7)!=X3|~in(X7,X8)|X6!=X8|~in(ordered_pair(X7,esk17_8(X2,X1,X4,X3,X5,X6,X7,X8)),X1)|esk4_3(X2,X1,X4)!=esk5_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[42])).
% cnf(135,plain,(empty(X2)|in(X3,esk12_3(X2,X1,X4))|esk3_3(X2,X1,X4)=esk5_3(X2,X1,X4)|~relation(X1)|X5!=X3|~in(X5,cartesian_product2(X2,X4))|~in(X6,X2)|ordered_pair(X6,X7)!=X3|~in(X7,X8)|X6!=X8|~in(ordered_pair(X7,esk17_8(X2,X1,X4,X3,X5,X6,X7,X8)),X1)),inference(split_conjunct,[status(thm)],[42])).
% cnf(136,plain,(empty(X2)|in(X3,esk12_3(X2,X1,X4))|esk3_3(X2,X1,X4)=esk4_3(X2,X1,X4)|~relation(X1)|X5!=X3|~in(X5,cartesian_product2(X2,X4))|~in(X6,X2)|ordered_pair(X6,X7)!=X3|~in(X7,X8)|X6!=X8|~in(ordered_pair(X7,esk17_8(X2,X1,X4,X3,X5,X6,X7,X8)),X1)),inference(split_conjunct,[status(thm)],[42])).
% cnf(147,plain,(empty(X2)|in(X3,esk12_3(X2,X1,X4))|in(esk17_8(X2,X1,X4,X3,X5,X6,X7,X8),X8)|~relation(X1)|X5!=X3|~in(X5,cartesian_product2(X2,X4))|~in(X6,X2)|ordered_pair(X6,X7)!=X3|~in(X7,X8)|X6!=X8|esk4_3(X2,X1,X4)!=esk5_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[42])).
% cnf(148,plain,(empty(X2)|in(X3,esk12_3(X2,X1,X4))|in(esk17_8(X2,X1,X4,X3,X5,X6,X7,X8),X8)|esk3_3(X2,X1,X4)=esk5_3(X2,X1,X4)|~relation(X1)|X5!=X3|~in(X5,cartesian_product2(X2,X4))|~in(X6,X2)|ordered_pair(X6,X7)!=X3|~in(X7,X8)|X6!=X8),inference(split_conjunct,[status(thm)],[42])).
% cnf(149,plain,(empty(X2)|in(X3,esk12_3(X2,X1,X4))|in(esk17_8(X2,X1,X4,X3,X5,X6,X7,X8),X8)|esk3_3(X2,X1,X4)=esk4_3(X2,X1,X4)|~relation(X1)|X5!=X3|~in(X5,cartesian_product2(X2,X4))|~in(X6,X2)|ordered_pair(X6,X7)!=X3|~in(X7,X8)|X6!=X8),inference(split_conjunct,[status(thm)],[42])).
% fof(219, negated_conjecture,?[X1]:?[X2]:((~(empty(X1))&relation(X2))&?[X3]:![X4]:?[X5]:((~(in(X5,X4))|(~(in(X5,cartesian_product2(X1,X3)))|![X6]:![X7]:((~(ordered_pair(X6,X7)=X5)|~(in(X6,X1)))|![X8]:((~(X6=X8)|~(in(X7,X8)))|?[X9]:(in(X9,X8)&~(in(ordered_pair(X7,X9),X2)))))))&(in(X5,X4)|(in(X5,cartesian_product2(X1,X3))&?[X6]:?[X7]:((ordered_pair(X6,X7)=X5&in(X6,X1))&?[X8]:((X6=X8&in(X7,X8))&![X9]:(~(in(X9,X8))|in(ordered_pair(X7,X9),X2)))))))),inference(fof_nnf,[status(thm)],[26])).
% fof(220, negated_conjecture,?[X10]:?[X11]:((~(empty(X10))&relation(X11))&?[X12]:![X13]:?[X14]:((~(in(X14,X13))|(~(in(X14,cartesian_product2(X10,X12)))|![X15]:![X16]:((~(ordered_pair(X15,X16)=X14)|~(in(X15,X10)))|![X17]:((~(X15=X17)|~(in(X16,X17)))|?[X18]:(in(X18,X17)&~(in(ordered_pair(X16,X18),X11)))))))&(in(X14,X13)|(in(X14,cartesian_product2(X10,X12))&?[X19]:?[X20]:((ordered_pair(X19,X20)=X14&in(X19,X10))&?[X21]:((X19=X21&in(X20,X21))&![X22]:(~(in(X22,X21))|in(ordered_pair(X20,X22),X11)))))))),inference(variable_rename,[status(thm)],[219])).
% fof(221, negated_conjecture,((~(empty(esk24_0))&relation(esk25_0))&![X13]:((~(in(esk27_1(X13),X13))|(~(in(esk27_1(X13),cartesian_product2(esk24_0,esk26_0)))|![X15]:![X16]:((~(ordered_pair(X15,X16)=esk27_1(X13))|~(in(X15,esk24_0)))|![X17]:((~(X15=X17)|~(in(X16,X17)))|(in(esk28_4(X13,X15,X16,X17),X17)&~(in(ordered_pair(X16,esk28_4(X13,X15,X16,X17)),esk25_0)))))))&(in(esk27_1(X13),X13)|(in(esk27_1(X13),cartesian_product2(esk24_0,esk26_0))&((ordered_pair(esk29_1(X13),esk30_1(X13))=esk27_1(X13)&in(esk29_1(X13),esk24_0))&((esk29_1(X13)=esk31_1(X13)&in(esk30_1(X13),esk31_1(X13)))&![X22]:(~(in(X22,esk31_1(X13)))|in(ordered_pair(esk30_1(X13),X22),esk25_0)))))))),inference(skolemize,[status(esa)],[220])).
% fof(222, negated_conjecture,![X13]:![X15]:![X16]:![X17]:![X22]:(((((((~(in(X22,esk31_1(X13)))|in(ordered_pair(esk30_1(X13),X22),esk25_0))&(esk29_1(X13)=esk31_1(X13)&in(esk30_1(X13),esk31_1(X13))))&(ordered_pair(esk29_1(X13),esk30_1(X13))=esk27_1(X13)&in(esk29_1(X13),esk24_0)))&in(esk27_1(X13),cartesian_product2(esk24_0,esk26_0)))|in(esk27_1(X13),X13))&(((((~(X15=X17)|~(in(X16,X17)))|(in(esk28_4(X13,X15,X16,X17),X17)&~(in(ordered_pair(X16,esk28_4(X13,X15,X16,X17)),esk25_0))))|(~(ordered_pair(X15,X16)=esk27_1(X13))|~(in(X15,esk24_0))))|~(in(esk27_1(X13),cartesian_product2(esk24_0,esk26_0))))|~(in(esk27_1(X13),X13))))&(~(empty(esk24_0))&relation(esk25_0))),inference(shift_quantors,[status(thm)],[221])).
% fof(223, negated_conjecture,![X13]:![X15]:![X16]:![X17]:![X22]:(((((((~(in(X22,esk31_1(X13)))|in(ordered_pair(esk30_1(X13),X22),esk25_0))|in(esk27_1(X13),X13))&((esk29_1(X13)=esk31_1(X13)|in(esk27_1(X13),X13))&(in(esk30_1(X13),esk31_1(X13))|in(esk27_1(X13),X13))))&((ordered_pair(esk29_1(X13),esk30_1(X13))=esk27_1(X13)|in(esk27_1(X13),X13))&(in(esk29_1(X13),esk24_0)|in(esk27_1(X13),X13))))&(in(esk27_1(X13),cartesian_product2(esk24_0,esk26_0))|in(esk27_1(X13),X13)))&(((((in(esk28_4(X13,X15,X16,X17),X17)|(~(X15=X17)|~(in(X16,X17))))|(~(ordered_pair(X15,X16)=esk27_1(X13))|~(in(X15,esk24_0))))|~(in(esk27_1(X13),cartesian_product2(esk24_0,esk26_0))))|~(in(esk27_1(X13),X13)))&((((~(in(ordered_pair(X16,esk28_4(X13,X15,X16,X17)),esk25_0))|(~(X15=X17)|~(in(X16,X17))))|(~(ordered_pair(X15,X16)=esk27_1(X13))|~(in(X15,esk24_0))))|~(in(esk27_1(X13),cartesian_product2(esk24_0,esk26_0))))|~(in(esk27_1(X13),X13)))))&(~(empty(esk24_0))&relation(esk25_0))),inference(distribute,[status(thm)],[222])).
% cnf(224,negated_conjecture,(relation(esk25_0)),inference(split_conjunct,[status(thm)],[223])).
% cnf(225,negated_conjecture,(~empty(esk24_0)),inference(split_conjunct,[status(thm)],[223])).
% cnf(226,negated_conjecture,(~in(esk27_1(X1),X1)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(X2,esk24_0)|ordered_pair(X2,X3)!=esk27_1(X1)|~in(X3,X4)|X2!=X4|~in(ordered_pair(X3,esk28_4(X1,X2,X3,X4)),esk25_0)),inference(split_conjunct,[status(thm)],[223])).
% cnf(227,negated_conjecture,(in(esk28_4(X1,X2,X3,X4),X4)|~in(esk27_1(X1),X1)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(X2,esk24_0)|ordered_pair(X2,X3)!=esk27_1(X1)|~in(X3,X4)|X2!=X4),inference(split_conjunct,[status(thm)],[223])).
% cnf(228,negated_conjecture,(in(esk27_1(X1),X1)|in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))),inference(split_conjunct,[status(thm)],[223])).
% cnf(229,negated_conjecture,(in(esk27_1(X1),X1)|in(esk29_1(X1),esk24_0)),inference(split_conjunct,[status(thm)],[223])).
% cnf(230,negated_conjecture,(in(esk27_1(X1),X1)|ordered_pair(esk29_1(X1),esk30_1(X1))=esk27_1(X1)),inference(split_conjunct,[status(thm)],[223])).
% cnf(231,negated_conjecture,(in(esk27_1(X1),X1)|in(esk30_1(X1),esk31_1(X1))),inference(split_conjunct,[status(thm)],[223])).
% cnf(232,negated_conjecture,(in(esk27_1(X1),X1)|esk29_1(X1)=esk31_1(X1)),inference(split_conjunct,[status(thm)],[223])).
% cnf(233,negated_conjecture,(in(esk27_1(X1),X1)|in(ordered_pair(esk30_1(X1),X2),esk25_0)|~in(X2,esk31_1(X1))),inference(split_conjunct,[status(thm)],[223])).
% cnf(241,negated_conjecture,(in(esk31_1(X1),esk24_0)|in(esk27_1(X1),X1)),inference(spm,[status(thm)],[229,232,theory(equality)])).
% cnf(259,negated_conjecture,(ordered_pair(esk31_1(X1),esk30_1(X1))=esk27_1(X1)|in(esk27_1(X1),X1)),inference(spm,[status(thm)],[230,232,theory(equality)])).
% cnf(264,negated_conjecture,(ordered_pair(X1,X2)!=esk27_1(X3)|~in(ordered_pair(X2,esk28_4(X3,X1,X2,X1)),esk25_0)|~in(esk27_1(X3),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X3),X3)|~in(X1,esk24_0)|~in(X2,X1)),inference(er,[status(thm)],[226,theory(equality)])).
% cnf(267,negated_conjecture,(esk3_3(X1,X2,X3)=esk4_3(X1,X2,X3)|esk13_4(X1,X2,X3,esk27_1(esk12_3(X1,X2,X3)))=esk27_1(esk12_3(X1,X2,X3))|empty(X1)|in(esk27_1(esk12_3(X1,X2,X3)),cartesian_product2(esk24_0,esk26_0))|~relation(X2)),inference(spm,[status(thm)],[45,228,theory(equality)])).
% cnf(268,negated_conjecture,(in(esk28_4(X1,X2,X3,X2),X2)|ordered_pair(X2,X3)!=esk27_1(X1)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)|~in(X2,esk24_0)|~in(X3,X2)),inference(er,[status(thm)],[227,theory(equality)])).
% cnf(277,negated_conjecture,(esk13_4(X1,X2,X3,esk27_1(esk12_3(X1,X2,X3)))=esk27_1(esk12_3(X1,X2,X3))|empty(X1)|in(esk27_1(esk12_3(X1,X2,X3)),cartesian_product2(esk24_0,esk26_0))|esk5_3(X1,X2,X3)!=esk4_3(X1,X2,X3)|~relation(X2)),inference(spm,[status(thm)],[43,228,theory(equality)])).
% cnf(295,negated_conjecture,(empty(X1)|in(esk13_4(X1,X2,X3,esk27_1(esk12_3(X1,X2,X3))),cartesian_product2(X1,X3))|in(esk27_1(esk12_3(X1,X2,X3)),cartesian_product2(esk24_0,esk26_0))|esk5_3(X1,X2,X3)!=esk4_3(X1,X2,X3)|~relation(X2)),inference(spm,[status(thm)],[56,228,theory(equality)])).
% cnf(298,negated_conjecture,(esk3_3(X1,X2,X3)=esk5_3(X1,X2,X3)|esk13_4(X1,X2,X3,esk27_1(esk12_3(X1,X2,X3)))=esk27_1(esk12_3(X1,X2,X3))|empty(X1)|in(esk27_1(esk12_3(X1,X2,X3)),cartesian_product2(esk24_0,esk26_0))|~relation(X2)),inference(spm,[status(thm)],[44,228,theory(equality)])).
% cnf(543,plain,(empty(X1)|in(X2,esk12_3(X1,X3,X4))|esk5_3(X1,X3,X4)!=esk4_3(X1,X3,X4)|ordered_pair(X5,X6)!=X2|X2!=X7|~relation(X3)|~in(ordered_pair(X6,esk17_8(X1,X3,X4,X2,X7,X5,X6,X5)),X3)|~in(X7,cartesian_product2(X1,X4))|~in(X6,X5)|~in(X5,X1)),inference(er,[status(thm)],[134,theory(equality)])).
% cnf(544,plain,(empty(X1)|in(X2,esk12_3(X1,X3,X4))|esk5_3(X1,X3,X4)!=esk4_3(X1,X3,X4)|ordered_pair(X5,X6)!=X2|~relation(X3)|~in(ordered_pair(X6,esk17_8(X1,X3,X4,X2,X2,X5,X6,X5)),X3)|~in(X2,cartesian_product2(X1,X4))|~in(X6,X5)|~in(X5,X1)),inference(er,[status(thm)],[543,theory(equality)])).
% cnf(549,plain,(empty(X1)|in(esk17_8(X1,X2,X3,X4,X5,X6,X7,X6),X6)|in(X4,esk12_3(X1,X2,X3))|esk5_3(X1,X2,X3)!=esk4_3(X1,X2,X3)|ordered_pair(X6,X7)!=X4|X4!=X5|~relation(X2)|~in(X5,cartesian_product2(X1,X3))|~in(X7,X6)|~in(X6,X1)),inference(er,[status(thm)],[147,theory(equality)])).
% cnf(550,plain,(empty(X1)|in(esk17_8(X1,X2,X3,X4,X4,X5,X6,X5),X5)|in(X4,esk12_3(X1,X2,X3))|esk5_3(X1,X2,X3)!=esk4_3(X1,X2,X3)|ordered_pair(X5,X6)!=X4|~relation(X2)|~in(X4,cartesian_product2(X1,X3))|~in(X6,X5)|~in(X5,X1)),inference(er,[status(thm)],[549,theory(equality)])).
% cnf(551,plain,(esk3_3(X1,X2,X3)=esk4_3(X1,X2,X3)|empty(X1)|in(X4,esk12_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|X4!=X7|~relation(X2)|~in(ordered_pair(X6,esk17_8(X1,X2,X3,X4,X7,X5,X6,X5)),X2)|~in(X7,cartesian_product2(X1,X3))|~in(X6,X5)|~in(X5,X1)),inference(er,[status(thm)],[136,theory(equality)])).
% cnf(552,plain,(esk3_3(X1,X2,X3)=esk4_3(X1,X2,X3)|empty(X1)|in(X4,esk12_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~relation(X2)|~in(ordered_pair(X6,esk17_8(X1,X2,X3,X4,X4,X5,X6,X5)),X2)|~in(X4,cartesian_product2(X1,X3))|~in(X6,X5)|~in(X5,X1)),inference(er,[status(thm)],[551,theory(equality)])).
% cnf(553,plain,(esk3_3(X1,X2,X3)=esk4_3(X1,X2,X3)|empty(X1)|in(esk17_8(X1,X2,X3,X4,X5,X6,X7,X6),X6)|in(X4,esk12_3(X1,X2,X3))|ordered_pair(X6,X7)!=X4|X4!=X5|~relation(X2)|~in(X5,cartesian_product2(X1,X3))|~in(X7,X6)|~in(X6,X1)),inference(er,[status(thm)],[149,theory(equality)])).
% cnf(554,plain,(esk3_3(X1,X2,X3)=esk4_3(X1,X2,X3)|empty(X1)|in(esk17_8(X1,X2,X3,X4,X4,X5,X6,X5),X5)|in(X4,esk12_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~relation(X2)|~in(X4,cartesian_product2(X1,X3))|~in(X6,X5)|~in(X5,X1)),inference(er,[status(thm)],[553,theory(equality)])).
% cnf(555,plain,(esk3_3(X1,X2,X3)=esk5_3(X1,X2,X3)|empty(X1)|in(X4,esk12_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|X4!=X7|~relation(X2)|~in(ordered_pair(X6,esk17_8(X1,X2,X3,X4,X7,X5,X6,X5)),X2)|~in(X7,cartesian_product2(X1,X3))|~in(X6,X5)|~in(X5,X1)),inference(er,[status(thm)],[135,theory(equality)])).
% cnf(556,plain,(esk3_3(X1,X2,X3)=esk5_3(X1,X2,X3)|empty(X1)|in(X4,esk12_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~relation(X2)|~in(ordered_pair(X6,esk17_8(X1,X2,X3,X4,X4,X5,X6,X5)),X2)|~in(X4,cartesian_product2(X1,X3))|~in(X6,X5)|~in(X5,X1)),inference(er,[status(thm)],[555,theory(equality)])).
% cnf(569,plain,(esk3_3(X1,X2,X3)=esk5_3(X1,X2,X3)|empty(X1)|in(esk17_8(X1,X2,X3,X4,X5,X6,X7,X6),X6)|in(X4,esk12_3(X1,X2,X3))|ordered_pair(X6,X7)!=X4|X4!=X5|~relation(X2)|~in(X5,cartesian_product2(X1,X3))|~in(X7,X6)|~in(X6,X1)),inference(er,[status(thm)],[148,theory(equality)])).
% cnf(570,plain,(esk3_3(X1,X2,X3)=esk5_3(X1,X2,X3)|empty(X1)|in(esk17_8(X1,X2,X3,X4,X4,X5,X6,X5),X5)|in(X4,esk12_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~relation(X2)|~in(X4,cartesian_product2(X1,X3))|~in(X6,X5)|~in(X5,X1)),inference(er,[status(thm)],[569,theory(equality)])).
% cnf(6040,negated_conjecture,(empty(X1)|in(X2,esk12_3(X1,X3,X4))|in(esk27_1(X5),X5)|esk5_3(X1,X3,X4)!=esk4_3(X1,X3,X4)|esk27_1(X5)!=X2|~relation(X3)|~in(ordered_pair(esk30_1(X5),esk17_8(X1,X3,X4,X2,X2,esk31_1(X5),esk30_1(X5),esk31_1(X5))),X3)|~in(X2,cartesian_product2(X1,X4))|~in(esk30_1(X5),esk31_1(X5))|~in(esk31_1(X5),X1)),inference(spm,[status(thm)],[544,259,theory(equality)])).
% cnf(11809,negated_conjecture,(empty(X1)|in(X2,esk12_3(X1,X3,X4))|in(esk27_1(X5),X5)|esk5_3(X1,X3,X4)!=esk4_3(X1,X3,X4)|esk27_1(X5)!=X2|~relation(X3)|~in(ordered_pair(esk30_1(X5),esk17_8(X1,X3,X4,X2,X2,esk31_1(X5),esk30_1(X5),esk31_1(X5))),X3)|~in(X2,cartesian_product2(X1,X4))|~in(esk31_1(X5),X1)),inference(csr,[status(thm)],[6040,231])).
% cnf(11810,negated_conjecture,(empty(X1)|in(esk27_1(X2),esk12_3(X1,X3,X4))|in(esk27_1(X2),X2)|esk5_3(X1,X3,X4)!=esk4_3(X1,X3,X4)|~relation(X3)|~in(ordered_pair(esk30_1(X2),esk17_8(X1,X3,X4,esk27_1(X2),esk27_1(X2),esk31_1(X2),esk30_1(X2),esk31_1(X2))),X3)|~in(esk27_1(X2),cartesian_product2(X1,X4))|~in(esk31_1(X2),X1)),inference(er,[status(thm)],[11809,theory(equality)])).
% cnf(11811,negated_conjecture,(empty(esk24_0)|in(esk27_1(X1),esk12_3(esk24_0,X2,X3))|in(esk27_1(X1),X1)|esk5_3(esk24_0,X2,X3)!=esk4_3(esk24_0,X2,X3)|~relation(X2)|~in(ordered_pair(esk30_1(X1),esk17_8(esk24_0,X2,X3,esk27_1(X1),esk27_1(X1),esk31_1(X1),esk30_1(X1),esk31_1(X1))),X2)|~in(esk27_1(X1),cartesian_product2(esk24_0,X3))),inference(spm,[status(thm)],[11810,241,theory(equality)])).
% cnf(11812,negated_conjecture,(in(esk27_1(X1),esk12_3(esk24_0,X2,X3))|in(esk27_1(X1),X1)|esk5_3(esk24_0,X2,X3)!=esk4_3(esk24_0,X2,X3)|~relation(X2)|~in(ordered_pair(esk30_1(X1),esk17_8(esk24_0,X2,X3,esk27_1(X1),esk27_1(X1),esk31_1(X1),esk30_1(X1),esk31_1(X1))),X2)|~in(esk27_1(X1),cartesian_product2(esk24_0,X3))),inference(sr,[status(thm)],[11811,225,theory(equality)])).
% cnf(11866,negated_conjecture,(in(esk27_1(X1),esk12_3(esk24_0,X2,esk26_0))|in(esk27_1(X1),X1)|esk5_3(esk24_0,X2,esk26_0)!=esk4_3(esk24_0,X2,esk26_0)|~relation(X2)|~in(ordered_pair(esk30_1(X1),esk17_8(esk24_0,X2,esk26_0,esk27_1(X1),esk27_1(X1),esk31_1(X1),esk30_1(X1),esk31_1(X1))),X2)),inference(spm,[status(thm)],[11812,228,theory(equality)])).
% cnf(11941,plain,(esk3_3(X1,X2,X3)=esk4_3(X1,X2,X3)|empty(X1)|in(ordered_pair(X4,X5),esk12_3(X1,X2,X3))|~relation(X2)|~in(ordered_pair(X5,esk17_8(X1,X2,X3,ordered_pair(X4,X5),ordered_pair(X4,X5),X4,X5,X4)),X2)|~in(ordered_pair(X4,X5),cartesian_product2(X1,X3))|~in(X5,X4)|~in(X4,X1)),inference(er,[status(thm)],[552,theory(equality)])).
% cnf(11950,plain,(esk3_3(X1,X2,X3)=esk5_3(X1,X2,X3)|empty(X1)|in(ordered_pair(X4,X5),esk12_3(X1,X2,X3))|~relation(X2)|~in(ordered_pair(X5,esk17_8(X1,X2,X3,ordered_pair(X4,X5),ordered_pair(X4,X5),X4,X5,X4)),X2)|~in(ordered_pair(X4,X5),cartesian_product2(X1,X3))|~in(X5,X4)|~in(X4,X1)),inference(er,[status(thm)],[556,theory(equality)])).
% cnf(16164,negated_conjecture,(empty(X1)|in(esk17_8(X1,X2,X3,X4,X4,esk31_1(X5),esk30_1(X5),esk31_1(X5)),esk31_1(X5))|in(X4,esk12_3(X1,X2,X3))|in(esk27_1(X5),X5)|esk5_3(X1,X2,X3)!=esk4_3(X1,X2,X3)|esk27_1(X5)!=X4|~relation(X2)|~in(X4,cartesian_product2(X1,X3))|~in(esk30_1(X5),esk31_1(X5))|~in(esk31_1(X5),X1)),inference(spm,[status(thm)],[550,259,theory(equality)])).
% cnf(16776,negated_conjecture,(esk3_3(X1,X2,X3)=esk4_3(X1,X2,X3)|empty(X1)|in(esk27_1(X4),esk12_3(X1,X2,X3))|in(esk27_1(X4),X4)|~relation(X2)|~in(ordered_pair(esk30_1(X4),esk17_8(X1,X2,X3,esk27_1(X4),esk27_1(X4),esk31_1(X4),esk30_1(X4),esk31_1(X4))),X2)|~in(esk27_1(X4),cartesian_product2(X1,X3))|~in(esk30_1(X4),esk31_1(X4))|~in(esk31_1(X4),X1)),inference(spm,[status(thm)],[11941,259,theory(equality)])).
% cnf(16812,negated_conjecture,(esk3_3(X1,X2,X3)=esk4_3(X1,X2,X3)|empty(X1)|in(esk27_1(X4),esk12_3(X1,X2,X3))|in(esk27_1(X4),X4)|~relation(X2)|~in(ordered_pair(esk30_1(X4),esk17_8(X1,X2,X3,esk27_1(X4),esk27_1(X4),esk31_1(X4),esk30_1(X4),esk31_1(X4))),X2)|~in(esk27_1(X4),cartesian_product2(X1,X3))|~in(esk31_1(X4),X1)),inference(csr,[status(thm)],[16776,231])).
% cnf(16813,negated_conjecture,(esk3_3(esk24_0,X1,X2)=esk4_3(esk24_0,X1,X2)|empty(esk24_0)|in(esk27_1(X3),esk12_3(esk24_0,X1,X2))|in(esk27_1(X3),X3)|~relation(X1)|~in(ordered_pair(esk30_1(X3),esk17_8(esk24_0,X1,X2,esk27_1(X3),esk27_1(X3),esk31_1(X3),esk30_1(X3),esk31_1(X3))),X1)|~in(esk27_1(X3),cartesian_product2(esk24_0,X2))),inference(spm,[status(thm)],[16812,241,theory(equality)])).
% cnf(16814,negated_conjecture,(esk3_3(esk24_0,X1,X2)=esk4_3(esk24_0,X1,X2)|in(esk27_1(X3),esk12_3(esk24_0,X1,X2))|in(esk27_1(X3),X3)|~relation(X1)|~in(ordered_pair(esk30_1(X3),esk17_8(esk24_0,X1,X2,esk27_1(X3),esk27_1(X3),esk31_1(X3),esk30_1(X3),esk31_1(X3))),X1)|~in(esk27_1(X3),cartesian_product2(esk24_0,X2))),inference(sr,[status(thm)],[16813,225,theory(equality)])).
% cnf(16868,negated_conjecture,(esk3_3(esk24_0,X1,esk26_0)=esk4_3(esk24_0,X1,esk26_0)|in(esk27_1(X2),esk12_3(esk24_0,X1,esk26_0))|in(esk27_1(X2),X2)|~relation(X1)|~in(ordered_pair(esk30_1(X2),esk17_8(esk24_0,X1,esk26_0,esk27_1(X2),esk27_1(X2),esk31_1(X2),esk30_1(X2),esk31_1(X2))),X1)),inference(spm,[status(thm)],[16814,228,theory(equality)])).
% cnf(17030,negated_conjecture,(esk3_3(X1,X2,X3)=esk5_3(X1,X2,X3)|empty(X1)|in(esk27_1(X4),esk12_3(X1,X2,X3))|in(esk27_1(X4),X4)|~relation(X2)|~in(ordered_pair(esk30_1(X4),esk17_8(X1,X2,X3,esk27_1(X4),esk27_1(X4),esk31_1(X4),esk30_1(X4),esk31_1(X4))),X2)|~in(esk27_1(X4),cartesian_product2(X1,X3))|~in(esk30_1(X4),esk31_1(X4))|~in(esk31_1(X4),X1)),inference(spm,[status(thm)],[11950,259,theory(equality)])).
% cnf(17066,negated_conjecture,(esk3_3(X1,X2,X3)=esk5_3(X1,X2,X3)|empty(X1)|in(esk27_1(X4),esk12_3(X1,X2,X3))|in(esk27_1(X4),X4)|~relation(X2)|~in(ordered_pair(esk30_1(X4),esk17_8(X1,X2,X3,esk27_1(X4),esk27_1(X4),esk31_1(X4),esk30_1(X4),esk31_1(X4))),X2)|~in(esk27_1(X4),cartesian_product2(X1,X3))|~in(esk31_1(X4),X1)),inference(csr,[status(thm)],[17030,231])).
% cnf(17067,negated_conjecture,(esk3_3(esk24_0,X1,X2)=esk5_3(esk24_0,X1,X2)|empty(esk24_0)|in(esk27_1(X3),esk12_3(esk24_0,X1,X2))|in(esk27_1(X3),X3)|~relation(X1)|~in(ordered_pair(esk30_1(X3),esk17_8(esk24_0,X1,X2,esk27_1(X3),esk27_1(X3),esk31_1(X3),esk30_1(X3),esk31_1(X3))),X1)|~in(esk27_1(X3),cartesian_product2(esk24_0,X2))),inference(spm,[status(thm)],[17066,241,theory(equality)])).
% cnf(17068,negated_conjecture,(esk3_3(esk24_0,X1,X2)=esk5_3(esk24_0,X1,X2)|in(esk27_1(X3),esk12_3(esk24_0,X1,X2))|in(esk27_1(X3),X3)|~relation(X1)|~in(ordered_pair(esk30_1(X3),esk17_8(esk24_0,X1,X2,esk27_1(X3),esk27_1(X3),esk31_1(X3),esk30_1(X3),esk31_1(X3))),X1)|~in(esk27_1(X3),cartesian_product2(esk24_0,X2))),inference(sr,[status(thm)],[17067,225,theory(equality)])).
% cnf(17122,negated_conjecture,(esk3_3(esk24_0,X1,esk26_0)=esk5_3(esk24_0,X1,esk26_0)|in(esk27_1(X2),esk12_3(esk24_0,X1,esk26_0))|in(esk27_1(X2),X2)|~relation(X1)|~in(ordered_pair(esk30_1(X2),esk17_8(esk24_0,X1,esk26_0,esk27_1(X2),esk27_1(X2),esk31_1(X2),esk30_1(X2),esk31_1(X2))),X1)),inference(spm,[status(thm)],[17068,228,theory(equality)])).
% cnf(24954,negated_conjecture,(esk3_3(X1,X2,X3)=esk4_3(X1,X2,X3)|empty(X1)|in(esk17_8(X1,X2,X3,X4,X4,esk31_1(X5),esk30_1(X5),esk31_1(X5)),esk31_1(X5))|in(X4,esk12_3(X1,X2,X3))|in(esk27_1(X5),X5)|esk27_1(X5)!=X4|~relation(X2)|~in(X4,cartesian_product2(X1,X3))|~in(esk30_1(X5),esk31_1(X5))|~in(esk31_1(X5),X1)),inference(spm,[status(thm)],[554,259,theory(equality)])).
% cnf(26723,negated_conjecture,(esk3_3(X1,X2,X3)=esk5_3(X1,X2,X3)|empty(X1)|in(esk17_8(X1,X2,X3,X4,X4,esk31_1(X5),esk30_1(X5),esk31_1(X5)),esk31_1(X5))|in(X4,esk12_3(X1,X2,X3))|in(esk27_1(X5),X5)|esk27_1(X5)!=X4|~relation(X2)|~in(X4,cartesian_product2(X1,X3))|~in(esk30_1(X5),esk31_1(X5))|~in(esk31_1(X5),X1)),inference(spm,[status(thm)],[570,259,theory(equality)])).
% cnf(31104,negated_conjecture,(empty(X1)|in(esk17_8(X1,X2,X3,X4,X4,esk31_1(X5),esk30_1(X5),esk31_1(X5)),esk31_1(X5))|in(X4,esk12_3(X1,X2,X3))|in(esk27_1(X5),X5)|esk5_3(X1,X2,X3)!=esk4_3(X1,X2,X3)|esk27_1(X5)!=X4|~relation(X2)|~in(X4,cartesian_product2(X1,X3))|~in(esk31_1(X5),X1)),inference(csr,[status(thm)],[16164,231])).
% cnf(31105,negated_conjecture,(empty(X1)|in(esk17_8(X1,X2,X3,esk27_1(X4),esk27_1(X4),esk31_1(X4),esk30_1(X4),esk31_1(X4)),esk31_1(X4))|in(esk27_1(X4),esk12_3(X1,X2,X3))|in(esk27_1(X4),X4)|esk5_3(X1,X2,X3)!=esk4_3(X1,X2,X3)|~relation(X2)|~in(esk27_1(X4),cartesian_product2(X1,X3))|~in(esk31_1(X4),X1)),inference(er,[status(thm)],[31104,theory(equality)])).
% cnf(31106,negated_conjecture,(empty(esk24_0)|in(esk17_8(esk24_0,X1,X2,esk27_1(X3),esk27_1(X3),esk31_1(X3),esk30_1(X3),esk31_1(X3)),esk31_1(X3))|in(esk27_1(X3),esk12_3(esk24_0,X1,X2))|in(esk27_1(X3),X3)|esk5_3(esk24_0,X1,X2)!=esk4_3(esk24_0,X1,X2)|~relation(X1)|~in(esk27_1(X3),cartesian_product2(esk24_0,X2))),inference(spm,[status(thm)],[31105,241,theory(equality)])).
% cnf(31107,negated_conjecture,(in(esk17_8(esk24_0,X1,X2,esk27_1(X3),esk27_1(X3),esk31_1(X3),esk30_1(X3),esk31_1(X3)),esk31_1(X3))|in(esk27_1(X3),esk12_3(esk24_0,X1,X2))|in(esk27_1(X3),X3)|esk5_3(esk24_0,X1,X2)!=esk4_3(esk24_0,X1,X2)|~relation(X1)|~in(esk27_1(X3),cartesian_product2(esk24_0,X2))),inference(sr,[status(thm)],[31106,225,theory(equality)])).
% cnf(31161,negated_conjecture,(in(esk17_8(esk24_0,X1,esk26_0,esk27_1(X2),esk27_1(X2),esk31_1(X2),esk30_1(X2),esk31_1(X2)),esk31_1(X2))|in(esk27_1(X2),esk12_3(esk24_0,X1,esk26_0))|in(esk27_1(X2),X2)|esk5_3(esk24_0,X1,esk26_0)!=esk4_3(esk24_0,X1,esk26_0)|~relation(X1)),inference(spm,[status(thm)],[31107,228,theory(equality)])).
% cnf(45610,negated_conjecture,(esk3_3(X1,X2,X3)=esk4_3(X1,X2,X3)|empty(X1)|in(esk17_8(X1,X2,X3,X4,X4,esk31_1(X5),esk30_1(X5),esk31_1(X5)),esk31_1(X5))|in(X4,esk12_3(X1,X2,X3))|in(esk27_1(X5),X5)|esk27_1(X5)!=X4|~relation(X2)|~in(X4,cartesian_product2(X1,X3))|~in(esk31_1(X5),X1)),inference(csr,[status(thm)],[24954,231])).
% cnf(45611,negated_conjecture,(esk3_3(X1,X2,X3)=esk4_3(X1,X2,X3)|empty(X1)|in(esk17_8(X1,X2,X3,esk27_1(X4),esk27_1(X4),esk31_1(X4),esk30_1(X4),esk31_1(X4)),esk31_1(X4))|in(esk27_1(X4),esk12_3(X1,X2,X3))|in(esk27_1(X4),X4)|~relation(X2)|~in(esk27_1(X4),cartesian_product2(X1,X3))|~in(esk31_1(X4),X1)),inference(er,[status(thm)],[45610,theory(equality)])).
% cnf(45612,negated_conjecture,(esk3_3(esk24_0,X1,X2)=esk4_3(esk24_0,X1,X2)|empty(esk24_0)|in(esk17_8(esk24_0,X1,X2,esk27_1(X3),esk27_1(X3),esk31_1(X3),esk30_1(X3),esk31_1(X3)),esk31_1(X3))|in(esk27_1(X3),esk12_3(esk24_0,X1,X2))|in(esk27_1(X3),X3)|~relation(X1)|~in(esk27_1(X3),cartesian_product2(esk24_0,X2))),inference(spm,[status(thm)],[45611,241,theory(equality)])).
% cnf(45613,negated_conjecture,(esk3_3(esk24_0,X1,X2)=esk4_3(esk24_0,X1,X2)|in(esk17_8(esk24_0,X1,X2,esk27_1(X3),esk27_1(X3),esk31_1(X3),esk30_1(X3),esk31_1(X3)),esk31_1(X3))|in(esk27_1(X3),esk12_3(esk24_0,X1,X2))|in(esk27_1(X3),X3)|~relation(X1)|~in(esk27_1(X3),cartesian_product2(esk24_0,X2))),inference(sr,[status(thm)],[45612,225,theory(equality)])).
% cnf(45795,negated_conjecture,(esk3_3(esk24_0,X1,esk26_0)=esk4_3(esk24_0,X1,esk26_0)|in(esk17_8(esk24_0,X1,esk26_0,esk27_1(X2),esk27_1(X2),esk31_1(X2),esk30_1(X2),esk31_1(X2)),esk31_1(X2))|in(esk27_1(X2),esk12_3(esk24_0,X1,esk26_0))|in(esk27_1(X2),X2)|~relation(X1)),inference(spm,[status(thm)],[45613,228,theory(equality)])).
% cnf(45830,negated_conjecture,(in(ordered_pair(esk30_1(X1),esk17_8(esk24_0,X2,esk26_0,esk27_1(X1),esk27_1(X1),esk31_1(X1),esk30_1(X1),esk31_1(X1))),esk25_0)|in(esk27_1(X1),X1)|esk3_3(esk24_0,X2,esk26_0)=esk4_3(esk24_0,X2,esk26_0)|in(esk27_1(X1),esk12_3(esk24_0,X2,esk26_0))|~relation(X2)),inference(spm,[status(thm)],[233,45795,theory(equality)])).
% cnf(45834,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)|~relation(esk25_0)),inference(spm,[status(thm)],[16868,45830,theory(equality)])).
% cnf(45842,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)|$false),inference(rw,[status(thm)],[45834,224,theory(equality)])).
% cnf(45843,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)),inference(cn,[status(thm)],[45842,theory(equality)])).
% cnf(45850,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),esk12_3(esk24_0,esk25_0,esk26_0))),inference(ef,[status(thm)],[45843,theory(equality)])).
% cnf(46655,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))|esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|~relation(esk25_0)),inference(spm,[status(thm)],[110,45850,theory(equality)])).
% cnf(46659,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|~relation(esk25_0)),inference(spm,[status(thm)],[71,45850,theory(equality)])).
% cnf(46667,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),cartesian_product2(esk24_0,esk26_0))|~relation(esk25_0)),inference(spm,[status(thm)],[58,45850,theory(equality)])).
% cnf(46688,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|~relation(esk25_0)),inference(spm,[status(thm)],[97,45850,theory(equality)])).
% cnf(46692,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|~relation(esk25_0)),inference(spm,[status(thm)],[84,45850,theory(equality)])).
% cnf(46710,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|~relation(esk25_0)|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(spm,[status(thm)],[123,45850,theory(equality)])).
% cnf(46814,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))|esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|$false),inference(rw,[status(thm)],[46655,224,theory(equality)])).
% cnf(46815,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))|esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)),inference(cn,[status(thm)],[46814,theory(equality)])).
% cnf(46816,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))|esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)),inference(sr,[status(thm)],[46815,225,theory(equality)])).
% cnf(46826,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|$false),inference(rw,[status(thm)],[46659,224,theory(equality)])).
% cnf(46827,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)),inference(cn,[status(thm)],[46826,theory(equality)])).
% cnf(46828,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)),inference(sr,[status(thm)],[46827,225,theory(equality)])).
% cnf(46850,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),cartesian_product2(esk24_0,esk26_0))|$false),inference(rw,[status(thm)],[46667,224,theory(equality)])).
% cnf(46851,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),cartesian_product2(esk24_0,esk26_0))),inference(cn,[status(thm)],[46850,theory(equality)])).
% cnf(46852,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),cartesian_product2(esk24_0,esk26_0))),inference(sr,[status(thm)],[46851,225,theory(equality)])).
% cnf(46913,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|$false),inference(rw,[status(thm)],[46688,224,theory(equality)])).
% cnf(46914,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(cn,[status(thm)],[46913,theory(equality)])).
% cnf(46915,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(sr,[status(thm)],[46914,225,theory(equality)])).
% cnf(46925,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|$false),inference(rw,[status(thm)],[46692,224,theory(equality)])).
% cnf(46926,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)),inference(cn,[status(thm)],[46925,theory(equality)])).
% cnf(46927,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)),inference(sr,[status(thm)],[46926,225,theory(equality)])).
% cnf(46979,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|$false|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(rw,[status(thm)],[46710,224,theory(equality)])).
% cnf(46980,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(cn,[status(thm)],[46979,theory(equality)])).
% cnf(46981,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(sr,[status(thm)],[46980,225,theory(equality)])).
% cnf(47196,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|empty(esk24_0)|~relation(esk25_0)),inference(spm,[status(thm)],[46852,267,theory(equality)])).
% cnf(47240,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|empty(esk24_0)|$false),inference(rw,[status(thm)],[47196,224,theory(equality)])).
% cnf(47241,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|empty(esk24_0)),inference(cn,[status(thm)],[47240,theory(equality)])).
% cnf(47242,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))),inference(sr,[status(thm)],[47241,225,theory(equality)])).
% cnf(49161,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(spm,[status(thm)],[46915,46816,theory(equality)])).
% cnf(51460,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)|~in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|~in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(spm,[status(thm)],[264,46927,theory(equality)])).
% cnf(51461,negated_conjecture,(in(esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)|~in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|~in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(spm,[status(thm)],[268,46927,theory(equality)])).
% cnf(55003,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|~in(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(spm,[status(thm)],[46981,46816,theory(equality)])).
% cnf(93409,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)),inference(csr,[status(thm)],[51460,49161])).
% cnf(93410,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)),inference(csr,[status(thm)],[93409,46828])).
% cnf(93411,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),esk12_3(esk24_0,esk25_0,esk26_0))),inference(er,[status(thm)],[93410,theory(equality)])).
% cnf(93412,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))),inference(csr,[status(thm)],[93411,45850])).
% cnf(93413,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)),inference(csr,[status(thm)],[93412,47242])).
% cnf(99355,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)),inference(csr,[status(thm)],[51461,49161])).
% cnf(99356,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)),inference(csr,[status(thm)],[99355,46828])).
% cnf(99357,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),esk12_3(esk24_0,esk25_0,esk26_0))),inference(er,[status(thm)],[99356,theory(equality)])).
% cnf(99438,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))),inference(csr,[status(thm)],[99357,45850])).
% cnf(99439,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(csr,[status(thm)],[99438,47242])).
% cnf(99471,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)),inference(spm,[status(thm)],[55003,99439,theory(equality)])).
% cnf(99563,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)),inference(csr,[status(thm)],[99471,93413])).
% cnf(99831,negated_conjecture,(esk3_3(X1,X2,X3)=esk5_3(X1,X2,X3)|empty(X1)|in(esk17_8(X1,X2,X3,X4,X4,esk31_1(X5),esk30_1(X5),esk31_1(X5)),esk31_1(X5))|in(X4,esk12_3(X1,X2,X3))|in(esk27_1(X5),X5)|esk27_1(X5)!=X4|~relation(X2)|~in(X4,cartesian_product2(X1,X3))|~in(esk31_1(X5),X1)),inference(csr,[status(thm)],[26723,231])).
% cnf(99832,negated_conjecture,(esk3_3(X1,X2,X3)=esk5_3(X1,X2,X3)|empty(X1)|in(esk17_8(X1,X2,X3,esk27_1(X4),esk27_1(X4),esk31_1(X4),esk30_1(X4),esk31_1(X4)),esk31_1(X4))|in(esk27_1(X4),esk12_3(X1,X2,X3))|in(esk27_1(X4),X4)|~relation(X2)|~in(esk27_1(X4),cartesian_product2(X1,X3))|~in(esk31_1(X4),X1)),inference(er,[status(thm)],[99831,theory(equality)])).
% cnf(99833,negated_conjecture,(esk3_3(esk24_0,X1,X2)=esk5_3(esk24_0,X1,X2)|empty(esk24_0)|in(esk17_8(esk24_0,X1,X2,esk27_1(X3),esk27_1(X3),esk31_1(X3),esk30_1(X3),esk31_1(X3)),esk31_1(X3))|in(esk27_1(X3),esk12_3(esk24_0,X1,X2))|in(esk27_1(X3),X3)|~relation(X1)|~in(esk27_1(X3),cartesian_product2(esk24_0,X2))),inference(spm,[status(thm)],[99832,241,theory(equality)])).
% cnf(99834,negated_conjecture,(esk3_3(esk24_0,X1,X2)=esk5_3(esk24_0,X1,X2)|in(esk17_8(esk24_0,X1,X2,esk27_1(X3),esk27_1(X3),esk31_1(X3),esk30_1(X3),esk31_1(X3)),esk31_1(X3))|in(esk27_1(X3),esk12_3(esk24_0,X1,X2))|in(esk27_1(X3),X3)|~relation(X1)|~in(esk27_1(X3),cartesian_product2(esk24_0,X2))),inference(sr,[status(thm)],[99833,225,theory(equality)])).
% cnf(99888,negated_conjecture,(esk3_3(esk24_0,X1,esk26_0)=esk5_3(esk24_0,X1,esk26_0)|in(esk17_8(esk24_0,X1,esk26_0,esk27_1(X2),esk27_1(X2),esk31_1(X2),esk30_1(X2),esk31_1(X2)),esk31_1(X2))|in(esk27_1(X2),esk12_3(esk24_0,X1,esk26_0))|in(esk27_1(X2),X2)|~relation(X1)),inference(spm,[status(thm)],[99834,228,theory(equality)])).
% cnf(99923,negated_conjecture,(in(ordered_pair(esk30_1(X1),esk17_8(esk24_0,X2,esk26_0,esk27_1(X1),esk27_1(X1),esk31_1(X1),esk30_1(X1),esk31_1(X1))),esk25_0)|in(esk27_1(X1),X1)|esk3_3(esk24_0,X2,esk26_0)=esk5_3(esk24_0,X2,esk26_0)|in(esk27_1(X1),esk12_3(esk24_0,X2,esk26_0))|~relation(X2)),inference(spm,[status(thm)],[233,99888,theory(equality)])).
% cnf(99928,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)|~relation(esk25_0)),inference(spm,[status(thm)],[17122,99923,theory(equality)])).
% cnf(99941,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)|~relation(esk25_0)),inference(rw,[status(thm)],[99928,99563,theory(equality)])).
% cnf(99942,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)|$false),inference(rw,[status(thm)],[99941,224,theory(equality)])).
% cnf(99943,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)),inference(cn,[status(thm)],[99942,theory(equality)])).
% cnf(99950,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),esk12_3(esk24_0,esk25_0,esk26_0))),inference(ef,[status(thm)],[99943,theory(equality)])).
% cnf(101067,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))|esk3_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(spm,[status(thm)],[109,99950,theory(equality)])).
% cnf(101071,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(spm,[status(thm)],[70,99950,theory(equality)])).
% cnf(101079,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),cartesian_product2(esk24_0,esk26_0))|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(spm,[status(thm)],[57,99950,theory(equality)])).
% cnf(101100,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(spm,[status(thm)],[96,99950,theory(equality)])).
% cnf(101104,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|esk3_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(spm,[status(thm)],[83,99950,theory(equality)])).
% cnf(101122,negated_conjecture,(esk3_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(spm,[status(thm)],[122,99950,theory(equality)])).
% cnf(101284,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))|esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(rw,[status(thm)],[101067,99563,theory(equality)])).
% cnf(101285,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))|esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|$false),inference(rw,[status(thm)],[101284,224,theory(equality)])).
% cnf(101286,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))|esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)),inference(cn,[status(thm)],[101285,theory(equality)])).
% cnf(101287,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)),inference(sr,[status(thm)],[101286,225,theory(equality)])).
% cnf(101297,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(rw,[status(thm)],[101071,99563,theory(equality)])).
% cnf(101298,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|$false),inference(rw,[status(thm)],[101297,224,theory(equality)])).
% cnf(101299,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)),inference(cn,[status(thm)],[101298,theory(equality)])).
% cnf(101300,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)),inference(sr,[status(thm)],[101299,225,theory(equality)])).
% cnf(101322,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),cartesian_product2(esk24_0,esk26_0))|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(rw,[status(thm)],[101079,99563,theory(equality)])).
% cnf(101323,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),cartesian_product2(esk24_0,esk26_0))|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|$false),inference(rw,[status(thm)],[101322,224,theory(equality)])).
% cnf(101324,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),cartesian_product2(esk24_0,esk26_0))),inference(cn,[status(thm)],[101323,theory(equality)])).
% cnf(101325,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),cartesian_product2(esk24_0,esk26_0))),inference(sr,[status(thm)],[101324,225,theory(equality)])).
% cnf(101383,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(rw,[status(thm)],[101100,99563,theory(equality)])).
% cnf(101384,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|$false),inference(rw,[status(thm)],[101383,224,theory(equality)])).
% cnf(101385,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(cn,[status(thm)],[101384,theory(equality)])).
% cnf(101386,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(sr,[status(thm)],[101385,225,theory(equality)])).
% cnf(101396,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(rw,[status(thm)],[101104,99563,theory(equality)])).
% cnf(101397,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|$false),inference(rw,[status(thm)],[101396,224,theory(equality)])).
% cnf(101398,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)),inference(cn,[status(thm)],[101397,theory(equality)])).
% cnf(101399,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)),inference(sr,[status(thm)],[101398,225,theory(equality)])).
% cnf(101449,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(rw,[status(thm)],[101122,99563,theory(equality)])).
% cnf(101450,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|$false|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(rw,[status(thm)],[101449,224,theory(equality)])).
% cnf(101451,negated_conjecture,(esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(cn,[status(thm)],[101450,theory(equality)])).
% cnf(101452,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(sr,[status(thm)],[101451,225,theory(equality)])).
% cnf(102159,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|esk3_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|~relation(esk25_0)),inference(spm,[status(thm)],[101325,298,theory(equality)])).
% cnf(102223,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|~relation(esk25_0)),inference(rw,[status(thm)],[102159,99563,theory(equality)])).
% cnf(102224,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|esk4_3(esk24_0,esk25_0,esk26_0)=esk5_3(esk24_0,esk25_0,esk26_0)|empty(esk24_0)|$false),inference(rw,[status(thm)],[102223,224,theory(equality)])).
% cnf(102225,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|empty(esk24_0)),inference(cn,[status(thm)],[102224,theory(equality)])).
% cnf(102226,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))),inference(sr,[status(thm)],[102225,225,theory(equality)])).
% cnf(104019,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(spm,[status(thm)],[101386,101287,theory(equality)])).
% cnf(106542,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)|~in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|~in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(spm,[status(thm)],[264,101399,theory(equality)])).
% cnf(106543,negated_conjecture,(in(esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)|~in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|~in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(spm,[status(thm)],[268,101399,theory(equality)])).
% cnf(110014,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|~in(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(spm,[status(thm)],[101452,101287,theory(equality)])).
% cnf(158665,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)),inference(csr,[status(thm)],[106542,104019])).
% cnf(158666,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)),inference(csr,[status(thm)],[158665,101300])).
% cnf(158667,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),esk12_3(esk24_0,esk25_0,esk26_0))),inference(er,[status(thm)],[158666,theory(equality)])).
% cnf(158668,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))),inference(csr,[status(thm)],[158667,99950])).
% cnf(158669,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)),inference(csr,[status(thm)],[158668,102226])).
% cnf(165476,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)),inference(csr,[status(thm)],[106543,104019])).
% cnf(165477,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)),inference(csr,[status(thm)],[165476,101300])).
% cnf(165478,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),esk12_3(esk24_0,esk25_0,esk26_0))),inference(er,[status(thm)],[165477,theory(equality)])).
% cnf(165479,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))),inference(csr,[status(thm)],[165478,99950])).
% cnf(165480,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(csr,[status(thm)],[165479,102226])).
% cnf(165512,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)),inference(spm,[status(thm)],[110014,165480,theory(equality)])).
% cnf(165608,negated_conjecture,(esk5_3(esk24_0,esk25_0,esk26_0)=esk4_3(esk24_0,esk25_0,esk26_0)),inference(csr,[status(thm)],[165512,158669])).
% cnf(165611,negated_conjecture,(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|empty(esk24_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|~relation(esk25_0)),inference(spm,[status(thm)],[277,165608,theory(equality)])).
% cnf(165617,negated_conjecture,(empty(esk24_0)|in(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),cartesian_product2(esk24_0,esk26_0))|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|~relation(esk25_0)),inference(spm,[status(thm)],[295,165608,theory(equality)])).
% cnf(165696,negated_conjecture,(in(esk17_8(esk24_0,esk25_0,esk26_0,esk27_1(X1),esk27_1(X1),esk31_1(X1),esk30_1(X1),esk31_1(X1)),esk31_1(X1))|in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)|~relation(esk25_0)),inference(spm,[status(thm)],[31161,165608,theory(equality)])).
% cnf(165697,negated_conjecture,(in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)|~relation(esk25_0)|~in(ordered_pair(esk30_1(X1),esk17_8(esk24_0,esk25_0,esk26_0,esk27_1(X1),esk27_1(X1),esk31_1(X1),esk30_1(X1),esk31_1(X1))),esk25_0)),inference(spm,[status(thm)],[11866,165608,theory(equality)])).
% cnf(165868,negated_conjecture,(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|empty(esk24_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|$false),inference(rw,[status(thm)],[165611,224,theory(equality)])).
% cnf(165869,negated_conjecture,(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|empty(esk24_0)|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))),inference(cn,[status(thm)],[165868,theory(equality)])).
% cnf(165870,negated_conjecture,(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))),inference(sr,[status(thm)],[165869,225,theory(equality)])).
% cnf(165886,negated_conjecture,(empty(esk24_0)|in(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),cartesian_product2(esk24_0,esk26_0))|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|$false),inference(rw,[status(thm)],[165617,224,theory(equality)])).
% cnf(165887,negated_conjecture,(empty(esk24_0)|in(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),cartesian_product2(esk24_0,esk26_0))|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))),inference(cn,[status(thm)],[165886,theory(equality)])).
% cnf(165888,negated_conjecture,(in(esk13_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),cartesian_product2(esk24_0,esk26_0))|in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))),inference(sr,[status(thm)],[165887,225,theory(equality)])).
% cnf(166123,negated_conjecture,(in(esk17_8(esk24_0,esk25_0,esk26_0,esk27_1(X1),esk27_1(X1),esk31_1(X1),esk30_1(X1),esk31_1(X1)),esk31_1(X1))|in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)|$false),inference(rw,[status(thm)],[165696,224,theory(equality)])).
% cnf(166124,negated_conjecture,(in(esk17_8(esk24_0,esk25_0,esk26_0,esk27_1(X1),esk27_1(X1),esk31_1(X1),esk30_1(X1),esk31_1(X1)),esk31_1(X1))|in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)),inference(cn,[status(thm)],[166123,theory(equality)])).
% cnf(166125,negated_conjecture,(in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)|$false|~in(ordered_pair(esk30_1(X1),esk17_8(esk24_0,esk25_0,esk26_0,esk27_1(X1),esk27_1(X1),esk31_1(X1),esk30_1(X1),esk31_1(X1))),esk25_0)),inference(rw,[status(thm)],[165697,224,theory(equality)])).
% cnf(166126,negated_conjecture,(in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)|~in(ordered_pair(esk30_1(X1),esk17_8(esk24_0,esk25_0,esk26_0,esk27_1(X1),esk27_1(X1),esk31_1(X1),esk30_1(X1),esk31_1(X1))),esk25_0)),inference(cn,[status(thm)],[166125,theory(equality)])).
% cnf(168361,negated_conjecture,(in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))),inference(spm,[status(thm)],[165888,165870,theory(equality)])).
% cnf(194058,negated_conjecture,(in(ordered_pair(esk30_1(X1),esk17_8(esk24_0,esk25_0,esk26_0,esk27_1(X1),esk27_1(X1),esk31_1(X1),esk30_1(X1),esk31_1(X1))),esk25_0)|in(esk27_1(X1),X1)|in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))),inference(spm,[status(thm)],[233,166124,theory(equality)])).
% cnf(194807,negated_conjecture,(in(esk27_1(X1),esk12_3(esk24_0,esk25_0,esk26_0))|in(esk27_1(X1),X1)),inference(csr,[status(thm)],[194058,166126])).
% cnf(194808,negated_conjecture,(in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),esk12_3(esk24_0,esk25_0,esk26_0))),inference(ef,[status(thm)],[194807,theory(equality)])).
% cnf(196289,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))|empty(esk24_0)|esk5_3(esk24_0,esk25_0,esk26_0)!=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(spm,[status(thm)],[108,194808,theory(equality)])).
% cnf(196290,negated_conjecture,(empty(esk24_0)|in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|esk5_3(esk24_0,esk25_0,esk26_0)!=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(spm,[status(thm)],[69,194808,theory(equality)])).
% cnf(196316,negated_conjecture,(empty(esk24_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk5_3(esk24_0,esk25_0,esk26_0)!=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(spm,[status(thm)],[95,194808,theory(equality)])).
% cnf(196317,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|empty(esk24_0)|esk5_3(esk24_0,esk25_0,esk26_0)!=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)),inference(spm,[status(thm)],[82,194808,theory(equality)])).
% cnf(196332,negated_conjecture,(empty(esk24_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|esk5_3(esk24_0,esk25_0,esk26_0)!=esk4_3(esk24_0,esk25_0,esk26_0)|~relation(esk25_0)|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(spm,[status(thm)],[121,194808,theory(equality)])).
% cnf(196602,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))|empty(esk24_0)|$false|~relation(esk25_0)),inference(rw,[status(thm)],[196289,165608,theory(equality)])).
% cnf(196603,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))|empty(esk24_0)|$false|$false),inference(rw,[status(thm)],[196602,224,theory(equality)])).
% cnf(196604,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))|empty(esk24_0)),inference(cn,[status(thm)],[196603,theory(equality)])).
% cnf(196605,negated_conjecture,(esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))=esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),inference(sr,[status(thm)],[196604,225,theory(equality)])).
% cnf(196606,negated_conjecture,(empty(esk24_0)|in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|$false|~relation(esk25_0)),inference(rw,[status(thm)],[196290,165608,theory(equality)])).
% cnf(196607,negated_conjecture,(empty(esk24_0)|in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|$false|$false),inference(rw,[status(thm)],[196606,224,theory(equality)])).
% cnf(196608,negated_conjecture,(empty(esk24_0)|in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)),inference(cn,[status(thm)],[196607,theory(equality)])).
% cnf(196609,negated_conjecture,(in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)),inference(sr,[status(thm)],[196608,225,theory(equality)])).
% cnf(196691,negated_conjecture,(empty(esk24_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|$false|~relation(esk25_0)),inference(rw,[status(thm)],[196316,165608,theory(equality)])).
% cnf(196692,negated_conjecture,(empty(esk24_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|$false|$false),inference(rw,[status(thm)],[196691,224,theory(equality)])).
% cnf(196693,negated_conjecture,(empty(esk24_0)|in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(cn,[status(thm)],[196692,theory(equality)])).
% cnf(196694,negated_conjecture,(in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(sr,[status(thm)],[196693,225,theory(equality)])).
% cnf(196695,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|empty(esk24_0)|$false|~relation(esk25_0)),inference(rw,[status(thm)],[196317,165608,theory(equality)])).
% cnf(196696,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|empty(esk24_0)|$false|$false),inference(rw,[status(thm)],[196695,224,theory(equality)])).
% cnf(196697,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))|empty(esk24_0)),inference(cn,[status(thm)],[196696,theory(equality)])).
% cnf(196698,negated_conjecture,(ordered_pair(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))=esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),inference(sr,[status(thm)],[196697,225,theory(equality)])).
% cnf(196744,negated_conjecture,(empty(esk24_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|$false|~relation(esk25_0)|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(rw,[status(thm)],[196332,165608,theory(equality)])).
% cnf(196745,negated_conjecture,(empty(esk24_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|$false|$false|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(rw,[status(thm)],[196744,224,theory(equality)])).
% cnf(196746,negated_conjecture,(empty(esk24_0)|in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(cn,[status(thm)],[196745,theory(equality)])).
% cnf(196747,negated_conjecture,(in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|~in(X1,esk16_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(sr,[status(thm)],[196746,225,theory(equality)])).
% cnf(198629,negated_conjecture,(in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(rw,[status(thm)],[196694,196605,theory(equality)])).
% cnf(200395,negated_conjecture,(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)|~in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|~in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(spm,[status(thm)],[264,196698,theory(equality)])).
% cnf(200396,negated_conjecture,(in(esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)|~in(esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk24_0)|~in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(spm,[status(thm)],[268,196698,theory(equality)])).
% cnf(200429,negated_conjecture,(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)|$false|~in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(rw,[status(thm)],[200395,196609,theory(equality)])).
% cnf(200430,negated_conjecture,(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)|$false|$false),inference(rw,[status(thm)],[200429,198629,theory(equality)])).
% cnf(200431,negated_conjecture,(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)),inference(cn,[status(thm)],[200430,theory(equality)])).
% cnf(200432,negated_conjecture,(in(esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)|$false|~in(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(rw,[status(thm)],[200396,196609,theory(equality)])).
% cnf(200433,negated_conjecture,(in(esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)|$false|$false),inference(rw,[status(thm)],[200432,198629,theory(equality)])).
% cnf(200434,negated_conjecture,(in(esk28_4(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))!=esk27_1(X1)|~in(esk27_1(X1),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(X1),X1)),inference(cn,[status(thm)],[200433,theory(equality)])).
% cnf(204250,negated_conjecture,(in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),X1),esk25_0)|~in(X1,esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(rw,[status(thm)],[196747,196605,theory(equality)])).
% cnf(216526,negated_conjecture,(~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),esk12_3(esk24_0,esk25_0,esk26_0))),inference(er,[status(thm)],[200431,theory(equality)])).
% cnf(216527,negated_conjecture,(~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|$false|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),esk12_3(esk24_0,esk25_0,esk26_0))),inference(rw,[status(thm)],[216526,168361,theory(equality)])).
% cnf(216528,negated_conjecture,(~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)|$false|$false),inference(rw,[status(thm)],[216527,194808,theory(equality)])).
% cnf(216529,negated_conjecture,(~in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)),inference(cn,[status(thm)],[216528,theory(equality)])).
% cnf(219302,negated_conjecture,(in(esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),cartesian_product2(esk24_0,esk26_0))|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),esk12_3(esk24_0,esk25_0,esk26_0))),inference(er,[status(thm)],[200434,theory(equality)])).
% cnf(219303,negated_conjecture,(in(esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|$false|~in(esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)),esk12_3(esk24_0,esk25_0,esk26_0))),inference(rw,[status(thm)],[219302,168361,theory(equality)])).
% cnf(219304,negated_conjecture,(in(esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))|$false|$false),inference(rw,[status(thm)],[219303,194808,theory(equality)])).
% cnf(219305,negated_conjecture,(in(esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0)))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),inference(cn,[status(thm)],[219304,theory(equality)])).
% cnf(219337,negated_conjecture,(in(ordered_pair(esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk28_4(esk12_3(esk24_0,esk25_0,esk26_0),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk15_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))),esk14_4(esk24_0,esk25_0,esk26_0,esk27_1(esk12_3(esk24_0,esk25_0,esk26_0))))),esk25_0)),inference(spm,[status(thm)],[204250,219305,theory(equality)])).
% cnf(219451,negated_conjecture,($false),inference(sr,[status(thm)],[219337,216529,theory(equality)])).
% cnf(219452,negated_conjecture,($false),219451,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 12451
% # ...of these trivial : 325
% # ...subsumed : 9394
% # ...remaining for further processing: 2732
% # Other redundant clauses eliminated : 54
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 152
% # Backward-rewritten : 366
% # Generated clauses : 162872
% # ...of the previous two non-trivial : 160093
% # Contextual simplify-reflections : 19512
% # Paramodulations : 162761
% # Factorizations : 24
% # Equation resolutions : 113
% # Current number of processed clauses: 2186
% # Positive orientable unit clauses: 35
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 12
% # Non-unit-clauses : 2139
% # Current number of unprocessed clauses: 133807
% # ...number of literals in the above : 1515269
% # Clause-clause subsumption calls (NU) : 821956
% # Rec. Clause-clause subsumption calls : 234377
% # Unit Clause-clause subsumption calls : 787
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 20
% # Indexed BW rewrite successes : 10
% # Backwards rewriting index: 415 leaves, 1.80+/-1.691 terms/leaf
% # Paramod-from index: 76 leaves, 1.21+/-0.468 terms/leaf
% # Paramod-into index: 212 leaves, 1.31+/-0.633 terms/leaf
% # -------------------------------------------------
% # User time : 15.358 s
% # System time : 0.285 s
% # Total time : 15.643 s
% # Maximum resident set size: 0 pages
% PrfWatch: 19.70 CPU 20.66 WC
% FINAL PrfWatch: 19.70 CPU 20.66 WC
% SZS output end Solution for /tmp/SystemOnTPTP11027/SEU286+1.tptp
%
%------------------------------------------------------------------------------