TSTP Solution File: SEU277+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU277+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 : art09.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 02:52:20 EST 2010
% Result : Theorem 1.32s
% Output : Solution 1.32s
% 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/SystemOnTPTP26547/SEU277+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP26547/SEU277+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP26547/SEU277+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 26643
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:![X2]:![X3]:(((relation(X2)&relation(X3))&function(X3))=>(![X4]:![X5]:![X6]:((((X4=X5&?[X7]:?[X8]:(X5=ordered_pair(X7,X8)&in(ordered_pair(apply(X3,X7),apply(X3,X8)),X2)))&X4=X6)&?[X9]:?[X10]:(X6=ordered_pair(X9,X10)&in(ordered_pair(apply(X3,X9),apply(X3,X10)),X2)))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,cartesian_product2(X1,X1))&X6=X5)&?[X11]:?[X12]:(X5=ordered_pair(X11,X12)&in(ordered_pair(apply(X3,X11),apply(X3,X12)),X2)))))),file('/tmp/SRASS.s.p', s1_tarski__e6_21__wellord2__1)).
% fof(20, conjecture,![X1]:![X2]:![X3]:(((relation(X2)&relation(X3))&function(X3))=>?[X4]:![X5]:(in(X5,X4)<=>(in(X5,cartesian_product2(X1,X1))&?[X6]:?[X7]:(X5=ordered_pair(X6,X7)&in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2))))),file('/tmp/SRASS.s.p', s1_xboole_0__e6_21__wellord2__1)).
% fof(21, negated_conjecture,~(![X1]:![X2]:![X3]:(((relation(X2)&relation(X3))&function(X3))=>?[X4]:![X5]:(in(X5,X4)<=>(in(X5,cartesian_product2(X1,X1))&?[X6]:?[X7]:(X5=ordered_pair(X6,X7)&in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2)))))),inference(assume_negation,[status(cth)],[20])).
% fof(33, plain,![X1]:![X2]:![X3]:(((~(relation(X2))|~(relation(X3)))|~(function(X3)))|(?[X4]:?[X5]:?[X6]:((((X4=X5&?[X7]:?[X8]:(X5=ordered_pair(X7,X8)&in(ordered_pair(apply(X3,X7),apply(X3,X8)),X2)))&X4=X6)&?[X9]:?[X10]:(X6=ordered_pair(X9,X10)&in(ordered_pair(apply(X3,X9),apply(X3,X10)),X2)))&~(X5=X6))|?[X4]:![X5]:((~(in(X5,X4))|?[X6]:((in(X6,cartesian_product2(X1,X1))&X6=X5)&?[X11]:?[X12]:(X5=ordered_pair(X11,X12)&in(ordered_pair(apply(X3,X11),apply(X3,X12)),X2))))&(![X6]:((~(in(X6,cartesian_product2(X1,X1)))|~(X6=X5))|![X11]:![X12]:(~(X5=ordered_pair(X11,X12))|~(in(ordered_pair(apply(X3,X11),apply(X3,X12)),X2))))|in(X5,X4))))),inference(fof_nnf,[status(thm)],[3])).
% fof(34, plain,![X13]:![X14]:![X15]:(((~(relation(X14))|~(relation(X15)))|~(function(X15)))|(?[X16]:?[X17]:?[X18]:((((X16=X17&?[X19]:?[X20]:(X17=ordered_pair(X19,X20)&in(ordered_pair(apply(X15,X19),apply(X15,X20)),X14)))&X16=X18)&?[X21]:?[X22]:(X18=ordered_pair(X21,X22)&in(ordered_pair(apply(X15,X21),apply(X15,X22)),X14)))&~(X17=X18))|?[X23]:![X24]:((~(in(X24,X23))|?[X25]:((in(X25,cartesian_product2(X13,X13))&X25=X24)&?[X26]:?[X27]:(X24=ordered_pair(X26,X27)&in(ordered_pair(apply(X15,X26),apply(X15,X27)),X14))))&(![X28]:((~(in(X28,cartesian_product2(X13,X13)))|~(X28=X24))|![X29]:![X30]:(~(X24=ordered_pair(X29,X30))|~(in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14))))|in(X24,X23))))),inference(variable_rename,[status(thm)],[33])).
% fof(35, plain,![X13]:![X14]:![X15]:(((~(relation(X14))|~(relation(X15)))|~(function(X15)))|(((((esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15)&(esk3_3(X13,X14,X15)=ordered_pair(esk5_3(X13,X14,X15),esk6_3(X13,X14,X15))&in(ordered_pair(apply(X15,esk5_3(X13,X14,X15)),apply(X15,esk6_3(X13,X14,X15))),X14)))&esk2_3(X13,X14,X15)=esk4_3(X13,X14,X15))&(esk4_3(X13,X14,X15)=ordered_pair(esk7_3(X13,X14,X15),esk8_3(X13,X14,X15))&in(ordered_pair(apply(X15,esk7_3(X13,X14,X15)),apply(X15,esk8_3(X13,X14,X15))),X14)))&~(esk3_3(X13,X14,X15)=esk4_3(X13,X14,X15)))|![X24]:((~(in(X24,esk9_3(X13,X14,X15)))|((in(esk10_4(X13,X14,X15,X24),cartesian_product2(X13,X13))&esk10_4(X13,X14,X15,X24)=X24)&(X24=ordered_pair(esk11_4(X13,X14,X15,X24),esk12_4(X13,X14,X15,X24))&in(ordered_pair(apply(X15,esk11_4(X13,X14,X15,X24)),apply(X15,esk12_4(X13,X14,X15,X24))),X14))))&(![X28]:((~(in(X28,cartesian_product2(X13,X13)))|~(X28=X24))|![X29]:![X30]:(~(X24=ordered_pair(X29,X30))|~(in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14))))|in(X24,esk9_3(X13,X14,X15)))))),inference(skolemize,[status(esa)],[34])).
% fof(36, plain,![X13]:![X14]:![X15]:![X24]:![X28]:![X29]:![X30]:((((((~(X24=ordered_pair(X29,X30))|~(in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)))|(~(in(X28,cartesian_product2(X13,X13)))|~(X28=X24)))|in(X24,esk9_3(X13,X14,X15)))&(~(in(X24,esk9_3(X13,X14,X15)))|((in(esk10_4(X13,X14,X15,X24),cartesian_product2(X13,X13))&esk10_4(X13,X14,X15,X24)=X24)&(X24=ordered_pair(esk11_4(X13,X14,X15,X24),esk12_4(X13,X14,X15,X24))&in(ordered_pair(apply(X15,esk11_4(X13,X14,X15,X24)),apply(X15,esk12_4(X13,X14,X15,X24))),X14)))))|((((esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15)&(esk3_3(X13,X14,X15)=ordered_pair(esk5_3(X13,X14,X15),esk6_3(X13,X14,X15))&in(ordered_pair(apply(X15,esk5_3(X13,X14,X15)),apply(X15,esk6_3(X13,X14,X15))),X14)))&esk2_3(X13,X14,X15)=esk4_3(X13,X14,X15))&(esk4_3(X13,X14,X15)=ordered_pair(esk7_3(X13,X14,X15),esk8_3(X13,X14,X15))&in(ordered_pair(apply(X15,esk7_3(X13,X14,X15)),apply(X15,esk8_3(X13,X14,X15))),X14)))&~(esk3_3(X13,X14,X15)=esk4_3(X13,X14,X15))))|((~(relation(X14))|~(relation(X15)))|~(function(X15)))),inference(shift_quantors,[status(thm)],[35])).
% fof(37, plain,![X13]:![X14]:![X15]:![X24]:![X28]:![X29]:![X30]:(((((((esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(((~(X24=ordered_pair(X29,X30))|~(in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)))|(~(in(X28,cartesian_product2(X13,X13)))|~(X28=X24)))|in(X24,esk9_3(X13,X14,X15))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&(((esk3_3(X13,X14,X15)=ordered_pair(esk5_3(X13,X14,X15),esk6_3(X13,X14,X15))|(((~(X24=ordered_pair(X29,X30))|~(in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)))|(~(in(X28,cartesian_product2(X13,X13)))|~(X28=X24)))|in(X24,esk9_3(X13,X14,X15))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&((in(ordered_pair(apply(X15,esk5_3(X13,X14,X15)),apply(X15,esk6_3(X13,X14,X15))),X14)|(((~(X24=ordered_pair(X29,X30))|~(in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)))|(~(in(X28,cartesian_product2(X13,X13)))|~(X28=X24)))|in(X24,esk9_3(X13,X14,X15))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))))&((esk2_3(X13,X14,X15)=esk4_3(X13,X14,X15)|(((~(X24=ordered_pair(X29,X30))|~(in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)))|(~(in(X28,cartesian_product2(X13,X13)))|~(X28=X24)))|in(X24,esk9_3(X13,X14,X15))))|((~(relation(X14))|~(relation(X15)))|~(function(X15)))))&(((esk4_3(X13,X14,X15)=ordered_pair(esk7_3(X13,X14,X15),esk8_3(X13,X14,X15))|(((~(X24=ordered_pair(X29,X30))|~(in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)))|(~(in(X28,cartesian_product2(X13,X13)))|~(X28=X24)))|in(X24,esk9_3(X13,X14,X15))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&((in(ordered_pair(apply(X15,esk7_3(X13,X14,X15)),apply(X15,esk8_3(X13,X14,X15))),X14)|(((~(X24=ordered_pair(X29,X30))|~(in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)))|(~(in(X28,cartesian_product2(X13,X13)))|~(X28=X24)))|in(X24,esk9_3(X13,X14,X15))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))))&((~(esk3_3(X13,X14,X15)=esk4_3(X13,X14,X15))|(((~(X24=ordered_pair(X29,X30))|~(in(ordered_pair(apply(X15,X29),apply(X15,X30)),X14)))|(~(in(X28,cartesian_product2(X13,X13)))|~(X28=X24)))|in(X24,esk9_3(X13,X14,X15))))|((~(relation(X14))|~(relation(X15)))|~(function(X15)))))&((((((((esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(in(esk10_4(X13,X14,X15,X24),cartesian_product2(X13,X13))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&(((esk3_3(X13,X14,X15)=ordered_pair(esk5_3(X13,X14,X15),esk6_3(X13,X14,X15))|(in(esk10_4(X13,X14,X15,X24),cartesian_product2(X13,X13))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&((in(ordered_pair(apply(X15,esk5_3(X13,X14,X15)),apply(X15,esk6_3(X13,X14,X15))),X14)|(in(esk10_4(X13,X14,X15,X24),cartesian_product2(X13,X13))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))))&((esk2_3(X13,X14,X15)=esk4_3(X13,X14,X15)|(in(esk10_4(X13,X14,X15,X24),cartesian_product2(X13,X13))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15)))))&(((esk4_3(X13,X14,X15)=ordered_pair(esk7_3(X13,X14,X15),esk8_3(X13,X14,X15))|(in(esk10_4(X13,X14,X15,X24),cartesian_product2(X13,X13))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&((in(ordered_pair(apply(X15,esk7_3(X13,X14,X15)),apply(X15,esk8_3(X13,X14,X15))),X14)|(in(esk10_4(X13,X14,X15,X24),cartesian_product2(X13,X13))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))))&((~(esk3_3(X13,X14,X15)=esk4_3(X13,X14,X15))|(in(esk10_4(X13,X14,X15,X24),cartesian_product2(X13,X13))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15)))))&((((((esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&(((esk3_3(X13,X14,X15)=ordered_pair(esk5_3(X13,X14,X15),esk6_3(X13,X14,X15))|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&((in(ordered_pair(apply(X15,esk5_3(X13,X14,X15)),apply(X15,esk6_3(X13,X14,X15))),X14)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))))&((esk2_3(X13,X14,X15)=esk4_3(X13,X14,X15)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15)))))&(((esk4_3(X13,X14,X15)=ordered_pair(esk7_3(X13,X14,X15),esk8_3(X13,X14,X15))|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&((in(ordered_pair(apply(X15,esk7_3(X13,X14,X15)),apply(X15,esk8_3(X13,X14,X15))),X14)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))))&((~(esk3_3(X13,X14,X15)=esk4_3(X13,X14,X15))|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))))&(((((((esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(X24=ordered_pair(esk11_4(X13,X14,X15,X24),esk12_4(X13,X14,X15,X24))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&(((esk3_3(X13,X14,X15)=ordered_pair(esk5_3(X13,X14,X15),esk6_3(X13,X14,X15))|(X24=ordered_pair(esk11_4(X13,X14,X15,X24),esk12_4(X13,X14,X15,X24))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&((in(ordered_pair(apply(X15,esk5_3(X13,X14,X15)),apply(X15,esk6_3(X13,X14,X15))),X14)|(X24=ordered_pair(esk11_4(X13,X14,X15,X24),esk12_4(X13,X14,X15,X24))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))))&((esk2_3(X13,X14,X15)=esk4_3(X13,X14,X15)|(X24=ordered_pair(esk11_4(X13,X14,X15,X24),esk12_4(X13,X14,X15,X24))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15)))))&(((esk4_3(X13,X14,X15)=ordered_pair(esk7_3(X13,X14,X15),esk8_3(X13,X14,X15))|(X24=ordered_pair(esk11_4(X13,X14,X15,X24),esk12_4(X13,X14,X15,X24))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&((in(ordered_pair(apply(X15,esk7_3(X13,X14,X15)),apply(X15,esk8_3(X13,X14,X15))),X14)|(X24=ordered_pair(esk11_4(X13,X14,X15,X24),esk12_4(X13,X14,X15,X24))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))))&((~(esk3_3(X13,X14,X15)=esk4_3(X13,X14,X15))|(X24=ordered_pair(esk11_4(X13,X14,X15,X24),esk12_4(X13,X14,X15,X24))|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15)))))&((((((esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(in(ordered_pair(apply(X15,esk11_4(X13,X14,X15,X24)),apply(X15,esk12_4(X13,X14,X15,X24))),X14)|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&(((esk3_3(X13,X14,X15)=ordered_pair(esk5_3(X13,X14,X15),esk6_3(X13,X14,X15))|(in(ordered_pair(apply(X15,esk11_4(X13,X14,X15,X24)),apply(X15,esk12_4(X13,X14,X15,X24))),X14)|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&((in(ordered_pair(apply(X15,esk5_3(X13,X14,X15)),apply(X15,esk6_3(X13,X14,X15))),X14)|(in(ordered_pair(apply(X15,esk11_4(X13,X14,X15,X24)),apply(X15,esk12_4(X13,X14,X15,X24))),X14)|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))))&((esk2_3(X13,X14,X15)=esk4_3(X13,X14,X15)|(in(ordered_pair(apply(X15,esk11_4(X13,X14,X15,X24)),apply(X15,esk12_4(X13,X14,X15,X24))),X14)|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15)))))&(((esk4_3(X13,X14,X15)=ordered_pair(esk7_3(X13,X14,X15),esk8_3(X13,X14,X15))|(in(ordered_pair(apply(X15,esk11_4(X13,X14,X15,X24)),apply(X15,esk12_4(X13,X14,X15,X24))),X14)|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))&((in(ordered_pair(apply(X15,esk7_3(X13,X14,X15)),apply(X15,esk8_3(X13,X14,X15))),X14)|(in(ordered_pair(apply(X15,esk11_4(X13,X14,X15,X24)),apply(X15,esk12_4(X13,X14,X15,X24))),X14)|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15))))))&((~(esk3_3(X13,X14,X15)=esk4_3(X13,X14,X15))|(in(ordered_pair(apply(X15,esk11_4(X13,X14,X15,X24)),apply(X15,esk12_4(X13,X14,X15,X24))),X14)|~(in(X24,esk9_3(X13,X14,X15)))))|((~(relation(X14))|~(relation(X15)))|~(function(X15)))))))),inference(distribute,[status(thm)],[36])).
% cnf(38,plain,(in(ordered_pair(apply(X1,esk11_4(X4,X2,X1,X3)),apply(X1,esk12_4(X4,X2,X1,X3))),X2)|~function(X1)|~relation(X1)|~relation(X2)|~in(X3,esk9_3(X4,X2,X1))|esk3_3(X4,X2,X1)!=esk4_3(X4,X2,X1)),inference(split_conjunct,[status(thm)],[37])).
% cnf(41,plain,(in(ordered_pair(apply(X1,esk11_4(X4,X2,X1,X3)),apply(X1,esk12_4(X4,X2,X1,X3))),X2)|esk2_3(X4,X2,X1)=esk4_3(X4,X2,X1)|~function(X1)|~relation(X1)|~relation(X2)|~in(X3,esk9_3(X4,X2,X1))),inference(split_conjunct,[status(thm)],[37])).
% cnf(44,plain,(in(ordered_pair(apply(X1,esk11_4(X4,X2,X1,X3)),apply(X1,esk12_4(X4,X2,X1,X3))),X2)|esk2_3(X4,X2,X1)=esk3_3(X4,X2,X1)|~function(X1)|~relation(X1)|~relation(X2)|~in(X3,esk9_3(X4,X2,X1))),inference(split_conjunct,[status(thm)],[37])).
% cnf(45,plain,(X3=ordered_pair(esk11_4(X4,X2,X1,X3),esk12_4(X4,X2,X1,X3))|~function(X1)|~relation(X1)|~relation(X2)|~in(X3,esk9_3(X4,X2,X1))|esk3_3(X4,X2,X1)!=esk4_3(X4,X2,X1)),inference(split_conjunct,[status(thm)],[37])).
% cnf(48,plain,(X3=ordered_pair(esk11_4(X4,X2,X1,X3),esk12_4(X4,X2,X1,X3))|esk2_3(X4,X2,X1)=esk4_3(X4,X2,X1)|~function(X1)|~relation(X1)|~relation(X2)|~in(X3,esk9_3(X4,X2,X1))),inference(split_conjunct,[status(thm)],[37])).
% cnf(51,plain,(X3=ordered_pair(esk11_4(X4,X2,X1,X3),esk12_4(X4,X2,X1,X3))|esk2_3(X4,X2,X1)=esk3_3(X4,X2,X1)|~function(X1)|~relation(X1)|~relation(X2)|~in(X3,esk9_3(X4,X2,X1))),inference(split_conjunct,[status(thm)],[37])).
% cnf(52,plain,(esk10_4(X4,X2,X1,X3)=X3|~function(X1)|~relation(X1)|~relation(X2)|~in(X3,esk9_3(X4,X2,X1))|esk3_3(X4,X2,X1)!=esk4_3(X4,X2,X1)),inference(split_conjunct,[status(thm)],[37])).
% cnf(55,plain,(esk10_4(X4,X2,X1,X3)=X3|esk2_3(X4,X2,X1)=esk4_3(X4,X2,X1)|~function(X1)|~relation(X1)|~relation(X2)|~in(X3,esk9_3(X4,X2,X1))),inference(split_conjunct,[status(thm)],[37])).
% cnf(58,plain,(esk10_4(X4,X2,X1,X3)=X3|esk2_3(X4,X2,X1)=esk3_3(X4,X2,X1)|~function(X1)|~relation(X1)|~relation(X2)|~in(X3,esk9_3(X4,X2,X1))),inference(split_conjunct,[status(thm)],[37])).
% cnf(59,plain,(in(esk10_4(X4,X2,X1,X3),cartesian_product2(X4,X4))|~function(X1)|~relation(X1)|~relation(X2)|~in(X3,esk9_3(X4,X2,X1))|esk3_3(X4,X2,X1)!=esk4_3(X4,X2,X1)),inference(split_conjunct,[status(thm)],[37])).
% cnf(62,plain,(in(esk10_4(X4,X2,X1,X3),cartesian_product2(X4,X4))|esk2_3(X4,X2,X1)=esk4_3(X4,X2,X1)|~function(X1)|~relation(X1)|~relation(X2)|~in(X3,esk9_3(X4,X2,X1))),inference(split_conjunct,[status(thm)],[37])).
% cnf(65,plain,(in(esk10_4(X4,X2,X1,X3),cartesian_product2(X4,X4))|esk2_3(X4,X2,X1)=esk3_3(X4,X2,X1)|~function(X1)|~relation(X1)|~relation(X2)|~in(X3,esk9_3(X4,X2,X1))),inference(split_conjunct,[status(thm)],[37])).
% cnf(66,plain,(in(X3,esk9_3(X4,X2,X1))|~function(X1)|~relation(X1)|~relation(X2)|X5!=X3|~in(X5,cartesian_product2(X4,X4))|~in(ordered_pair(apply(X1,X6),apply(X1,X7)),X2)|X3!=ordered_pair(X6,X7)|esk3_3(X4,X2,X1)!=esk4_3(X4,X2,X1)),inference(split_conjunct,[status(thm)],[37])).
% cnf(69,plain,(in(X3,esk9_3(X4,X2,X1))|esk2_3(X4,X2,X1)=esk4_3(X4,X2,X1)|~function(X1)|~relation(X1)|~relation(X2)|X5!=X3|~in(X5,cartesian_product2(X4,X4))|~in(ordered_pair(apply(X1,X6),apply(X1,X7)),X2)|X3!=ordered_pair(X6,X7)),inference(split_conjunct,[status(thm)],[37])).
% cnf(72,plain,(in(X3,esk9_3(X4,X2,X1))|esk2_3(X4,X2,X1)=esk3_3(X4,X2,X1)|~function(X1)|~relation(X1)|~relation(X2)|X5!=X3|~in(X5,cartesian_product2(X4,X4))|~in(ordered_pair(apply(X1,X6),apply(X1,X7)),X2)|X3!=ordered_pair(X6,X7)),inference(split_conjunct,[status(thm)],[37])).
% fof(137, negated_conjecture,?[X1]:?[X2]:?[X3]:(((relation(X2)&relation(X3))&function(X3))&![X4]:?[X5]:((~(in(X5,X4))|(~(in(X5,cartesian_product2(X1,X1)))|![X6]:![X7]:(~(X5=ordered_pair(X6,X7))|~(in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2)))))&(in(X5,X4)|(in(X5,cartesian_product2(X1,X1))&?[X6]:?[X7]:(X5=ordered_pair(X6,X7)&in(ordered_pair(apply(X3,X6),apply(X3,X7)),X2)))))),inference(fof_nnf,[status(thm)],[21])).
% fof(138, negated_conjecture,?[X8]:?[X9]:?[X10]:(((relation(X9)&relation(X10))&function(X10))&![X11]:?[X12]:((~(in(X12,X11))|(~(in(X12,cartesian_product2(X8,X8)))|![X13]:![X14]:(~(X12=ordered_pair(X13,X14))|~(in(ordered_pair(apply(X10,X13),apply(X10,X14)),X9)))))&(in(X12,X11)|(in(X12,cartesian_product2(X8,X8))&?[X15]:?[X16]:(X12=ordered_pair(X15,X16)&in(ordered_pair(apply(X10,X15),apply(X10,X16)),X9)))))),inference(variable_rename,[status(thm)],[137])).
% fof(139, negated_conjecture,(((relation(esk21_0)&relation(esk22_0))&function(esk22_0))&![X11]:((~(in(esk23_1(X11),X11))|(~(in(esk23_1(X11),cartesian_product2(esk20_0,esk20_0)))|![X13]:![X14]:(~(esk23_1(X11)=ordered_pair(X13,X14))|~(in(ordered_pair(apply(esk22_0,X13),apply(esk22_0,X14)),esk21_0)))))&(in(esk23_1(X11),X11)|(in(esk23_1(X11),cartesian_product2(esk20_0,esk20_0))&(esk23_1(X11)=ordered_pair(esk24_1(X11),esk25_1(X11))&in(ordered_pair(apply(esk22_0,esk24_1(X11)),apply(esk22_0,esk25_1(X11))),esk21_0)))))),inference(skolemize,[status(esa)],[138])).
% fof(140, negated_conjecture,![X11]:![X13]:![X14]:(((((~(esk23_1(X11)=ordered_pair(X13,X14))|~(in(ordered_pair(apply(esk22_0,X13),apply(esk22_0,X14)),esk21_0)))|~(in(esk23_1(X11),cartesian_product2(esk20_0,esk20_0))))|~(in(esk23_1(X11),X11)))&(in(esk23_1(X11),X11)|(in(esk23_1(X11),cartesian_product2(esk20_0,esk20_0))&(esk23_1(X11)=ordered_pair(esk24_1(X11),esk25_1(X11))&in(ordered_pair(apply(esk22_0,esk24_1(X11)),apply(esk22_0,esk25_1(X11))),esk21_0)))))&((relation(esk21_0)&relation(esk22_0))&function(esk22_0))),inference(shift_quantors,[status(thm)],[139])).
% fof(141, negated_conjecture,![X11]:![X13]:![X14]:(((((~(esk23_1(X11)=ordered_pair(X13,X14))|~(in(ordered_pair(apply(esk22_0,X13),apply(esk22_0,X14)),esk21_0)))|~(in(esk23_1(X11),cartesian_product2(esk20_0,esk20_0))))|~(in(esk23_1(X11),X11)))&((in(esk23_1(X11),cartesian_product2(esk20_0,esk20_0))|in(esk23_1(X11),X11))&((esk23_1(X11)=ordered_pair(esk24_1(X11),esk25_1(X11))|in(esk23_1(X11),X11))&(in(ordered_pair(apply(esk22_0,esk24_1(X11)),apply(esk22_0,esk25_1(X11))),esk21_0)|in(esk23_1(X11),X11)))))&((relation(esk21_0)&relation(esk22_0))&function(esk22_0))),inference(distribute,[status(thm)],[140])).
% cnf(142,negated_conjecture,(function(esk22_0)),inference(split_conjunct,[status(thm)],[141])).
% cnf(143,negated_conjecture,(relation(esk22_0)),inference(split_conjunct,[status(thm)],[141])).
% cnf(144,negated_conjecture,(relation(esk21_0)),inference(split_conjunct,[status(thm)],[141])).
% cnf(145,negated_conjecture,(in(esk23_1(X1),X1)|in(ordered_pair(apply(esk22_0,esk24_1(X1)),apply(esk22_0,esk25_1(X1))),esk21_0)),inference(split_conjunct,[status(thm)],[141])).
% cnf(146,negated_conjecture,(in(esk23_1(X1),X1)|esk23_1(X1)=ordered_pair(esk24_1(X1),esk25_1(X1))),inference(split_conjunct,[status(thm)],[141])).
% cnf(147,negated_conjecture,(in(esk23_1(X1),X1)|in(esk23_1(X1),cartesian_product2(esk20_0,esk20_0))),inference(split_conjunct,[status(thm)],[141])).
% cnf(148,negated_conjecture,(~in(esk23_1(X1),X1)|~in(esk23_1(X1),cartesian_product2(esk20_0,esk20_0))|~in(ordered_pair(apply(esk22_0,X2),apply(esk22_0,X3)),esk21_0)|esk23_1(X1)!=ordered_pair(X2,X3)),inference(split_conjunct,[status(thm)],[141])).
% cnf(150,plain,(esk2_3(X1,X2,X3)=esk3_3(X1,X2,X3)|in(X4,esk9_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~function(X3)|~relation(X2)|~relation(X3)|~in(ordered_pair(apply(X3,X5),apply(X3,X6)),X2)|~in(X4,cartesian_product2(X1,X1))),inference(er,[status(thm)],[72,theory(equality)])).
% cnf(151,plain,(esk2_3(X1,X2,X3)=esk4_3(X1,X2,X3)|in(X4,esk9_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~function(X3)|~relation(X2)|~relation(X3)|~in(ordered_pair(apply(X3,X5),apply(X3,X6)),X2)|~in(X4,cartesian_product2(X1,X1))),inference(er,[status(thm)],[69,theory(equality)])).
% cnf(152,plain,(in(X1,esk9_3(X2,X3,X4))|esk4_3(X2,X3,X4)!=esk3_3(X2,X3,X4)|ordered_pair(X5,X6)!=X1|~function(X4)|~relation(X3)|~relation(X4)|~in(ordered_pair(apply(X4,X5),apply(X4,X6)),X3)|~in(X1,cartesian_product2(X2,X2))),inference(er,[status(thm)],[66,theory(equality)])).
% cnf(190,negated_conjecture,(in(esk23_1(X1),X1)|ordered_pair(esk24_1(X1),esk25_1(X1))!=esk23_1(X2)|~in(esk23_1(X2),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X2),X2)),inference(spm,[status(thm)],[148,145,theory(equality)])).
% cnf(212,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(spm,[status(thm)],[148,44,theory(equality)])).
% cnf(213,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|$false|~relation(esk21_0)|~relation(esk22_0)|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(rw,[status(thm)],[212,142,theory(equality)])).
% cnf(214,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|$false|$false|~relation(esk22_0)|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(rw,[status(thm)],[213,144,theory(equality)])).
% cnf(215,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|$false|$false|$false|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(rw,[status(thm)],[214,143,theory(equality)])).
% cnf(216,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(cn,[status(thm)],[215,theory(equality)])).
% cnf(217,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|in(X2,esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X3),X3)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X2|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)|~in(X2,cartesian_product2(X1,X1))),inference(spm,[status(thm)],[150,145,theory(equality)])).
% cnf(219,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|in(X2,esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X3),X3)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X2|$false|~relation(esk21_0)|~relation(esk22_0)|~in(X2,cartesian_product2(X1,X1))),inference(rw,[status(thm)],[217,142,theory(equality)])).
% cnf(220,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|in(X2,esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X3),X3)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X2|$false|$false|~relation(esk22_0)|~in(X2,cartesian_product2(X1,X1))),inference(rw,[status(thm)],[219,144,theory(equality)])).
% cnf(221,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|in(X2,esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X3),X3)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X2|$false|$false|$false|~in(X2,cartesian_product2(X1,X1))),inference(rw,[status(thm)],[220,143,theory(equality)])).
% cnf(222,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|in(X2,esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X3),X3)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X2|~in(X2,cartesian_product2(X1,X1))),inference(cn,[status(thm)],[221,theory(equality)])).
% cnf(223,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|in(X2,esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X3),X3)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X2|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)|~in(X2,cartesian_product2(X1,X1))),inference(spm,[status(thm)],[151,145,theory(equality)])).
% cnf(225,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|in(X2,esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X3),X3)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X2|$false|~relation(esk21_0)|~relation(esk22_0)|~in(X2,cartesian_product2(X1,X1))),inference(rw,[status(thm)],[223,142,theory(equality)])).
% cnf(226,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|in(X2,esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X3),X3)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X2|$false|$false|~relation(esk22_0)|~in(X2,cartesian_product2(X1,X1))),inference(rw,[status(thm)],[225,144,theory(equality)])).
% cnf(227,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|in(X2,esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X3),X3)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X2|$false|$false|$false|~in(X2,cartesian_product2(X1,X1))),inference(rw,[status(thm)],[226,143,theory(equality)])).
% cnf(228,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|in(X2,esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X3),X3)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X2|~in(X2,cartesian_product2(X1,X1))),inference(cn,[status(thm)],[227,theory(equality)])).
% cnf(229,negated_conjecture,(in(X1,esk9_3(X2,esk21_0,esk22_0))|in(esk23_1(X3),X3)|esk4_3(X2,esk21_0,esk22_0)!=esk3_3(X2,esk21_0,esk22_0)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X1|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)|~in(X1,cartesian_product2(X2,X2))),inference(spm,[status(thm)],[152,145,theory(equality)])).
% cnf(231,negated_conjecture,(in(X1,esk9_3(X2,esk21_0,esk22_0))|in(esk23_1(X3),X3)|esk4_3(X2,esk21_0,esk22_0)!=esk3_3(X2,esk21_0,esk22_0)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X1|$false|~relation(esk21_0)|~relation(esk22_0)|~in(X1,cartesian_product2(X2,X2))),inference(rw,[status(thm)],[229,142,theory(equality)])).
% cnf(232,negated_conjecture,(in(X1,esk9_3(X2,esk21_0,esk22_0))|in(esk23_1(X3),X3)|esk4_3(X2,esk21_0,esk22_0)!=esk3_3(X2,esk21_0,esk22_0)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X1|$false|$false|~relation(esk22_0)|~in(X1,cartesian_product2(X2,X2))),inference(rw,[status(thm)],[231,144,theory(equality)])).
% cnf(233,negated_conjecture,(in(X1,esk9_3(X2,esk21_0,esk22_0))|in(esk23_1(X3),X3)|esk4_3(X2,esk21_0,esk22_0)!=esk3_3(X2,esk21_0,esk22_0)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X1|$false|$false|$false|~in(X1,cartesian_product2(X2,X2))),inference(rw,[status(thm)],[232,143,theory(equality)])).
% cnf(234,negated_conjecture,(in(X1,esk9_3(X2,esk21_0,esk22_0))|in(esk23_1(X3),X3)|esk4_3(X2,esk21_0,esk22_0)!=esk3_3(X2,esk21_0,esk22_0)|ordered_pair(esk24_1(X3),esk25_1(X3))!=X1|~in(X1,cartesian_product2(X2,X2))),inference(cn,[status(thm)],[233,theory(equality)])).
% cnf(249,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(spm,[status(thm)],[148,41,theory(equality)])).
% cnf(253,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|$false|~relation(esk21_0)|~relation(esk22_0)|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(rw,[status(thm)],[249,142,theory(equality)])).
% cnf(254,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|$false|$false|~relation(esk22_0)|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(rw,[status(thm)],[253,144,theory(equality)])).
% cnf(255,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|$false|$false|$false|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(rw,[status(thm)],[254,143,theory(equality)])).
% cnf(256,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(cn,[status(thm)],[255,theory(equality)])).
% cnf(267,negated_conjecture,(ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(spm,[status(thm)],[148,38,theory(equality)])).
% cnf(271,negated_conjecture,(ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|$false|~relation(esk21_0)|~relation(esk22_0)|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(rw,[status(thm)],[267,142,theory(equality)])).
% cnf(272,negated_conjecture,(ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|$false|$false|~relation(esk22_0)|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(rw,[status(thm)],[271,144,theory(equality)])).
% cnf(273,negated_conjecture,(ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|$false|$false|$false|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(rw,[status(thm)],[272,143,theory(equality)])).
% cnf(274,negated_conjecture,(ordered_pair(esk11_4(X1,esk21_0,esk22_0,X2),esk12_4(X1,esk21_0,esk22_0,X2))!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(X3),X3)|esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(cn,[status(thm)],[273,theory(equality)])).
% cnf(487,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|in(X2,esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X3),X3)|esk23_1(X3)!=X2|~in(X2,cartesian_product2(X1,X1))),inference(spm,[status(thm)],[222,146,theory(equality)])).
% cnf(491,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(X1),esk9_3(esk20_0,esk21_0,esk22_0))|in(esk23_1(X2),X2)|in(esk23_1(X1),X1)|esk23_1(X2)!=esk23_1(X1)),inference(spm,[status(thm)],[487,147,theory(equality)])).
% cnf(530,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(X1),esk9_3(esk20_0,esk21_0,esk22_0))|in(esk23_1(X1),X1)),inference(er,[status(thm)],[491,theory(equality)])).
% cnf(531,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(ef,[status(thm)],[530,theory(equality)])).
% cnf(655,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)),inference(spm,[status(thm)],[58,531,theory(equality)])).
% cnf(674,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|$false|~relation(esk21_0)|~relation(esk22_0)),inference(rw,[status(thm)],[655,142,theory(equality)])).
% cnf(675,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|$false|$false|~relation(esk22_0)),inference(rw,[status(thm)],[674,144,theory(equality)])).
% cnf(676,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|$false|$false|$false),inference(rw,[status(thm)],[675,143,theory(equality)])).
% cnf(677,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))),inference(cn,[status(thm)],[676,theory(equality)])).
% cnf(790,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(spm,[status(thm)],[65,677,theory(equality)])).
% cnf(793,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|$false|~relation(esk21_0)|~relation(esk22_0)|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(rw,[status(thm)],[790,142,theory(equality)])).
% cnf(794,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|$false|$false|~relation(esk22_0)|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(rw,[status(thm)],[793,144,theory(equality)])).
% cnf(795,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|$false|$false|$false|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(rw,[status(thm)],[794,143,theory(equality)])).
% cnf(796,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(cn,[status(thm)],[795,theory(equality)])).
% cnf(818,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))),inference(csr,[status(thm)],[796,147])).
% cnf(821,negated_conjecture,(in(esk23_1(X1),X1)|esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|ordered_pair(esk24_1(X1),esk25_1(X1))!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(spm,[status(thm)],[190,818,theory(equality)])).
% cnf(831,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(X1),X1)|ordered_pair(esk24_1(X1),esk25_1(X1))!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))),inference(csr,[status(thm)],[821,531])).
% cnf(832,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(X1),X1)|esk23_1(X1)!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))),inference(spm,[status(thm)],[831,146,theory(equality)])).
% cnf(893,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|in(ordered_pair(esk24_1(X2),esk25_1(X2)),esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X2),X2)|~in(ordered_pair(esk24_1(X2),esk25_1(X2)),cartesian_product2(X1,X1))),inference(er,[status(thm)],[228,theory(equality)])).
% cnf(894,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|in(X2,esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X3),X3)|esk23_1(X3)!=X2|~in(X2,cartesian_product2(X1,X1))),inference(spm,[status(thm)],[228,146,theory(equality)])).
% cnf(940,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(X1),esk9_3(esk20_0,esk21_0,esk22_0))|in(esk23_1(X2),X2)|in(esk23_1(X1),X1)|esk23_1(X2)!=esk23_1(X1)),inference(spm,[status(thm)],[894,147,theory(equality)])).
% cnf(958,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(X1),esk9_3(esk20_0,esk21_0,esk22_0))|in(esk23_1(X1),X1)),inference(er,[status(thm)],[940,theory(equality)])).
% cnf(980,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(ef,[status(thm)],[958,theory(equality)])).
% cnf(1131,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)),inference(spm,[status(thm)],[55,980,theory(equality)])).
% cnf(1153,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|$false|~relation(esk21_0)|~relation(esk22_0)),inference(rw,[status(thm)],[1131,142,theory(equality)])).
% cnf(1154,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|$false|$false|~relation(esk22_0)),inference(rw,[status(thm)],[1153,144,theory(equality)])).
% cnf(1155,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|$false|$false|$false),inference(rw,[status(thm)],[1154,143,theory(equality)])).
% cnf(1156,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))),inference(cn,[status(thm)],[1155,theory(equality)])).
% cnf(1260,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(spm,[status(thm)],[62,1156,theory(equality)])).
% cnf(1273,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|$false|~relation(esk21_0)|~relation(esk22_0)|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(rw,[status(thm)],[1260,142,theory(equality)])).
% cnf(1274,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|$false|$false|~relation(esk22_0)|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(rw,[status(thm)],[1273,144,theory(equality)])).
% cnf(1275,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|$false|$false|$false|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(rw,[status(thm)],[1274,143,theory(equality)])).
% cnf(1276,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(cn,[status(thm)],[1275,theory(equality)])).
% cnf(1309,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))),inference(csr,[status(thm)],[1276,147])).
% cnf(1376,negated_conjecture,(in(X1,esk9_3(X2,esk21_0,esk22_0))|in(esk23_1(X3),X3)|esk4_3(X2,esk21_0,esk22_0)!=esk3_3(X2,esk21_0,esk22_0)|esk23_1(X3)!=X1|~in(X1,cartesian_product2(X2,X2))),inference(spm,[status(thm)],[234,146,theory(equality)])).
% cnf(1401,negated_conjecture,(in(esk23_1(X1),esk9_3(esk20_0,esk21_0,esk22_0))|in(esk23_1(X2),X2)|in(esk23_1(X1),X1)|esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)|esk23_1(X2)!=esk23_1(X1)),inference(spm,[status(thm)],[1376,147,theory(equality)])).
% cnf(1424,negated_conjecture,(in(esk23_1(X1),esk9_3(esk20_0,esk21_0,esk22_0))|in(esk23_1(X1),X1)|esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)),inference(er,[status(thm)],[1401,theory(equality)])).
% cnf(1653,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|X2!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)),inference(spm,[status(thm)],[216,51,theory(equality)])).
% cnf(1657,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|X2!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)|$false|~relation(esk21_0)|~relation(esk22_0)),inference(rw,[status(thm)],[1653,142,theory(equality)])).
% cnf(1658,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|X2!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)|$false|$false|~relation(esk22_0)),inference(rw,[status(thm)],[1657,144,theory(equality)])).
% cnf(1659,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|X2!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)|$false|$false|$false),inference(rw,[status(thm)],[1658,143,theory(equality)])).
% cnf(1660,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|X2!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)),inference(cn,[status(thm)],[1659,theory(equality)])).
% cnf(1682,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|X2!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(spm,[status(thm)],[1660,818,theory(equality)])).
% cnf(1746,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|in(esk23_1(X2),esk9_3(X1,esk21_0,esk22_0))|in(esk23_1(X2),X2)|~in(esk23_1(X2),cartesian_product2(X1,X1))),inference(spm,[status(thm)],[893,146,theory(equality)])).
% cnf(3070,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|X2!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)),inference(spm,[status(thm)],[256,48,theory(equality)])).
% cnf(3077,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|X2!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)|$false|~relation(esk21_0)|~relation(esk22_0)),inference(rw,[status(thm)],[3070,142,theory(equality)])).
% cnf(3078,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|X2!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)|$false|$false|~relation(esk22_0)),inference(rw,[status(thm)],[3077,144,theory(equality)])).
% cnf(3079,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|X2!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)|$false|$false|$false),inference(rw,[status(thm)],[3078,143,theory(equality)])).
% cnf(3080,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|X2!=esk23_1(X3)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)),inference(cn,[status(thm)],[3079,theory(equality)])).
% cnf(3702,negated_conjecture,(X2!=esk23_1(X3)|esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)),inference(spm,[status(thm)],[274,45,theory(equality)])).
% cnf(3712,negated_conjecture,(X2!=esk23_1(X3)|esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)|$false|~relation(esk21_0)|~relation(esk22_0)),inference(rw,[status(thm)],[3702,142,theory(equality)])).
% cnf(3713,negated_conjecture,(X2!=esk23_1(X3)|esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)|$false|$false|~relation(esk22_0)),inference(rw,[status(thm)],[3712,144,theory(equality)])).
% cnf(3714,negated_conjecture,(X2!=esk23_1(X3)|esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)|$false|$false|$false),inference(rw,[status(thm)],[3713,143,theory(equality)])).
% cnf(3715,negated_conjecture,(X2!=esk23_1(X3)|esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|~in(esk23_1(X3),cartesian_product2(esk20_0,esk20_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(X3),X3)),inference(cn,[status(thm)],[3714,theory(equality)])).
% cnf(5243,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|X2!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(csr,[status(thm)],[1682,531])).
% cnf(5244,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|esk2_3(X1,esk21_0,esk22_0)=esk3_3(X1,esk21_0,esk22_0)|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(X1,esk21_0,esk22_0))),inference(er,[status(thm)],[5243,theory(equality)])).
% cnf(5247,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)),inference(spm,[status(thm)],[5244,832,theory(equality)])).
% cnf(5293,negated_conjecture,(esk3_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))),inference(rw,[status(thm)],[1309,5247,theory(equality)])).
% cnf(5319,negated_conjecture,(esk3_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(X1),esk9_3(esk20_0,esk21_0,esk22_0))|in(esk23_1(X1),X1)),inference(rw,[status(thm)],[958,5247,theory(equality)])).
% cnf(5361,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))|esk4_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)),inference(spm,[status(thm)],[1746,5293,theory(equality)])).
% cnf(5371,negated_conjecture,(esk3_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))|esk4_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)),inference(rw,[status(thm)],[5361,5247,theory(equality)])).
% cnf(5372,negated_conjecture,(esk3_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(cn,[status(thm)],[5371,theory(equality)])).
% cnf(5375,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|esk4_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)),inference(spm,[status(thm)],[55,5372,theory(equality)])).
% cnf(5401,negated_conjecture,(esk3_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|esk4_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)),inference(rw,[status(thm)],[5375,5247,theory(equality)])).
% cnf(5402,negated_conjecture,(esk3_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|esk4_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|$false|~relation(esk21_0)|~relation(esk22_0)),inference(rw,[status(thm)],[5401,142,theory(equality)])).
% cnf(5403,negated_conjecture,(esk3_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|esk4_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|$false|$false|~relation(esk22_0)),inference(rw,[status(thm)],[5402,144,theory(equality)])).
% cnf(5404,negated_conjecture,(esk3_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|esk4_3(esk20_0,esk21_0,esk22_0)=esk3_3(esk20_0,esk21_0,esk22_0)|$false|$false|$false),inference(rw,[status(thm)],[5403,143,theory(equality)])).
% cnf(5405,negated_conjecture,(esk3_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)|esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))),inference(cn,[status(thm)],[5404,theory(equality)])).
% cnf(5630,negated_conjecture,(in(esk23_1(X1),esk9_3(esk20_0,esk21_0,esk22_0))|in(esk23_1(X1),X1)),inference(csr,[status(thm)],[5319,1424])).
% cnf(5631,negated_conjecture,(in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(ef,[status(thm)],[5630,theory(equality)])).
% cnf(5792,negated_conjecture,(esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)),inference(spm,[status(thm)],[52,5631,theory(equality)])).
% cnf(5822,negated_conjecture,(esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)|$false|~relation(esk21_0)|~relation(esk22_0)),inference(rw,[status(thm)],[5792,142,theory(equality)])).
% cnf(5823,negated_conjecture,(esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)|$false|$false|~relation(esk22_0)),inference(rw,[status(thm)],[5822,144,theory(equality)])).
% cnf(5824,negated_conjecture,(esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)|$false|$false|$false),inference(rw,[status(thm)],[5823,143,theory(equality)])).
% cnf(5825,negated_conjecture,(esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)),inference(cn,[status(thm)],[5824,theory(equality)])).
% cnf(6258,negated_conjecture,(esk10_4(esk20_0,esk21_0,esk22_0,esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)))=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))),inference(csr,[status(thm)],[5825,5405])).
% cnf(6261,negated_conjecture,(in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)|~function(esk22_0)|~relation(esk21_0)|~relation(esk22_0)|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(spm,[status(thm)],[59,6258,theory(equality)])).
% cnf(6289,negated_conjecture,(in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)|$false|~relation(esk21_0)|~relation(esk22_0)|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(rw,[status(thm)],[6261,142,theory(equality)])).
% cnf(6290,negated_conjecture,(in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)|$false|$false|~relation(esk22_0)|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(rw,[status(thm)],[6289,144,theory(equality)])).
% cnf(6291,negated_conjecture,(in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)|$false|$false|$false|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(rw,[status(thm)],[6290,143,theory(equality)])).
% cnf(6292,negated_conjecture,(in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[6291,5631,theory(equality)])).
% cnf(6293,negated_conjecture,(in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))|esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)),inference(cn,[status(thm)],[6292,theory(equality)])).
% cnf(6321,negated_conjecture,(in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),cartesian_product2(esk20_0,esk20_0))),inference(csr,[status(thm)],[6293,5293])).
% cnf(6330,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|X2!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(spm,[status(thm)],[3080,6321,theory(equality)])).
% cnf(6331,negated_conjecture,(esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|X2!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(spm,[status(thm)],[3715,6321,theory(equality)])).
% cnf(6332,negated_conjecture,(in(esk23_1(X1),X1)|ordered_pair(esk24_1(X1),esk25_1(X1))!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(esk20_0,esk21_0,esk22_0))),inference(spm,[status(thm)],[190,6321,theory(equality)])).
% cnf(6345,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|X2!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|$false),inference(rw,[status(thm)],[6330,5631,theory(equality)])).
% cnf(6346,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|X2!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(cn,[status(thm)],[6345,theory(equality)])).
% cnf(6347,negated_conjecture,(esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|X2!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))|$false),inference(rw,[status(thm)],[6331,5631,theory(equality)])).
% cnf(6348,negated_conjecture,(esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|X2!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|~in(X2,esk9_3(X1,esk21_0,esk22_0))),inference(cn,[status(thm)],[6347,theory(equality)])).
% cnf(6349,negated_conjecture,(in(esk23_1(X1),X1)|ordered_pair(esk24_1(X1),esk25_1(X1))!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))|$false),inference(rw,[status(thm)],[6332,5631,theory(equality)])).
% cnf(6350,negated_conjecture,(in(esk23_1(X1),X1)|ordered_pair(esk24_1(X1),esk25_1(X1))!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))),inference(cn,[status(thm)],[6349,theory(equality)])).
% cnf(6351,negated_conjecture,(in(esk23_1(X1),X1)|esk23_1(X1)!=esk23_1(esk9_3(esk20_0,esk21_0,esk22_0))),inference(spm,[status(thm)],[6350,146,theory(equality)])).
% cnf(6476,negated_conjecture,(esk2_3(X1,esk21_0,esk22_0)=esk4_3(X1,esk21_0,esk22_0)|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(X1,esk21_0,esk22_0))),inference(er,[status(thm)],[6346,theory(equality)])).
% cnf(6479,negated_conjecture,(esk2_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)),inference(spm,[status(thm)],[6476,6351,theory(equality)])).
% cnf(6484,negated_conjecture,(esk3_3(esk20_0,esk21_0,esk22_0)=esk4_3(esk20_0,esk21_0,esk22_0)),inference(rw,[status(thm)],[6479,5247,theory(equality)])).
% cnf(6562,negated_conjecture,(esk4_3(X1,esk21_0,esk22_0)!=esk3_3(X1,esk21_0,esk22_0)|~in(esk23_1(esk9_3(esk20_0,esk21_0,esk22_0)),esk9_3(X1,esk21_0,esk22_0))),inference(er,[status(thm)],[6348,theory(equality)])).
% cnf(6565,negated_conjecture,(esk4_3(esk20_0,esk21_0,esk22_0)!=esk3_3(esk20_0,esk21_0,esk22_0)),inference(spm,[status(thm)],[6562,6351,theory(equality)])).
% cnf(6572,negated_conjecture,($false),inference(rw,[status(thm)],[6565,6484,theory(equality)])).
% cnf(6573,negated_conjecture,($false),inference(cn,[status(thm)],[6572,theory(equality)])).
% cnf(6574,negated_conjecture,($false),6573,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 794
% # ...of these trivial : 13
% # ...subsumed : 262
% # ...remaining for further processing: 519
% # Other redundant clauses eliminated : 43
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 29
% # Backward-rewritten : 127
% # Generated clauses : 3130
% # ...of the previous two non-trivial : 3075
% # Contextual simplify-reflections : 400
% # Paramodulations : 3039
% # Factorizations : 16
% # Equation resolutions : 75
% # Current number of processed clauses: 280
% # Positive orientable unit clauses: 32
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 8
% # Non-unit-clauses : 240
% # Current number of unprocessed clauses: 1370
% # ...number of literals in the above : 10717
% # Clause-clause subsumption calls (NU) : 5104
% # Rec. Clause-clause subsumption calls : 2524
% # Unit Clause-clause subsumption calls : 94
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 30
% # Indexed BW rewrite successes : 5
% # Backwards rewriting index: 211 leaves, 2.25+/-2.544 terms/leaf
% # Paramod-from index: 57 leaves, 1.67+/-2.577 terms/leaf
% # Paramod-into index: 148 leaves, 1.95+/-2.338 terms/leaf
% # -------------------------------------------------
% # User time : 0.293 s
% # System time : 0.011 s
% # Total time : 0.304 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.50 CPU 0.60 WC
% FINAL PrfWatch: 0.50 CPU 0.60 WC
% SZS output end Solution for /tmp/SystemOnTPTP26547/SEU277+1.tptp
%
%------------------------------------------------------------------------------