TSTP Solution File: SEU281+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU281+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 : art04.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 02:58:19 EST 2010
% Result : Theorem 1.70s
% Output : Solution 1.70s
% 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/SystemOnTPTP16741/SEU281+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP16741/SEU281+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP16741/SEU281+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 16837
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:(![X3]:![X4]:![X5]:((((X3=X4&?[X6]:?[X7]:((ordered_pair(X6,X7)=X4&in(X6,X1))&X7=singleton(X6)))&X3=X5)&?[X8]:?[X9]:((ordered_pair(X8,X9)=X5&in(X8,X1))&X9=singleton(X8)))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:((in(X5,cartesian_product2(X1,X2))&X5=X4)&?[X10]:?[X11]:((ordered_pair(X10,X11)=X4&in(X10,X1))&X11=singleton(X10))))),file('/tmp/SRASS.s.p', s1_tarski__e16_22__wellord2__2)).
% fof(15, conjecture,![X1]:![X2]:?[X3]:![X4]:(in(X4,X3)<=>(in(X4,cartesian_product2(X1,X2))&?[X5]:?[X6]:((ordered_pair(X5,X6)=X4&in(X5,X1))&X6=singleton(X5)))),file('/tmp/SRASS.s.p', s1_xboole_0__e16_22__wellord2__1)).
% fof(16, negated_conjecture,~(![X1]:![X2]:?[X3]:![X4]:(in(X4,X3)<=>(in(X4,cartesian_product2(X1,X2))&?[X5]:?[X6]:((ordered_pair(X5,X6)=X4&in(X5,X1))&X6=singleton(X5))))),inference(assume_negation,[status(cth)],[15])).
% fof(24, plain,![X1]:![X2]:(?[X3]:?[X4]:?[X5]:((((X3=X4&?[X6]:?[X7]:((ordered_pair(X6,X7)=X4&in(X6,X1))&X7=singleton(X6)))&X3=X5)&?[X8]:?[X9]:((ordered_pair(X8,X9)=X5&in(X8,X1))&X9=singleton(X8)))&~(X4=X5))|?[X3]:![X4]:((~(in(X4,X3))|?[X5]:((in(X5,cartesian_product2(X1,X2))&X5=X4)&?[X10]:?[X11]:((ordered_pair(X10,X11)=X4&in(X10,X1))&X11=singleton(X10))))&(![X5]:((~(in(X5,cartesian_product2(X1,X2)))|~(X5=X4))|![X10]:![X11]:((~(ordered_pair(X10,X11)=X4)|~(in(X10,X1)))|~(X11=singleton(X10))))|in(X4,X3)))),inference(fof_nnf,[status(thm)],[2])).
% fof(25, plain,![X12]:![X13]:(?[X14]:?[X15]:?[X16]:((((X14=X15&?[X17]:?[X18]:((ordered_pair(X17,X18)=X15&in(X17,X12))&X18=singleton(X17)))&X14=X16)&?[X19]:?[X20]:((ordered_pair(X19,X20)=X16&in(X19,X12))&X20=singleton(X19)))&~(X15=X16))|?[X21]:![X22]:((~(in(X22,X21))|?[X23]:((in(X23,cartesian_product2(X12,X13))&X23=X22)&?[X24]:?[X25]:((ordered_pair(X24,X25)=X22&in(X24,X12))&X25=singleton(X24))))&(![X26]:((~(in(X26,cartesian_product2(X12,X13)))|~(X26=X22))|![X27]:![X28]:((~(ordered_pair(X27,X28)=X22)|~(in(X27,X12)))|~(X28=singleton(X27))))|in(X22,X21)))),inference(variable_rename,[status(thm)],[24])).
% fof(26, plain,![X12]:![X13]:(((((esk1_2(X12,X13)=esk2_2(X12,X13)&((ordered_pair(esk4_2(X12,X13),esk5_2(X12,X13))=esk2_2(X12,X13)&in(esk4_2(X12,X13),X12))&esk5_2(X12,X13)=singleton(esk4_2(X12,X13))))&esk1_2(X12,X13)=esk3_2(X12,X13))&((ordered_pair(esk6_2(X12,X13),esk7_2(X12,X13))=esk3_2(X12,X13)&in(esk6_2(X12,X13),X12))&esk7_2(X12,X13)=singleton(esk6_2(X12,X13))))&~(esk2_2(X12,X13)=esk3_2(X12,X13)))|![X22]:((~(in(X22,esk8_2(X12,X13)))|((in(esk9_3(X12,X13,X22),cartesian_product2(X12,X13))&esk9_3(X12,X13,X22)=X22)&((ordered_pair(esk10_3(X12,X13,X22),esk11_3(X12,X13,X22))=X22&in(esk10_3(X12,X13,X22),X12))&esk11_3(X12,X13,X22)=singleton(esk10_3(X12,X13,X22)))))&(![X26]:((~(in(X26,cartesian_product2(X12,X13)))|~(X26=X22))|![X27]:![X28]:((~(ordered_pair(X27,X28)=X22)|~(in(X27,X12)))|~(X28=singleton(X27))))|in(X22,esk8_2(X12,X13))))),inference(skolemize,[status(esa)],[25])).
% fof(27, plain,![X12]:![X13]:![X22]:![X26]:![X27]:![X28]:((((((~(ordered_pair(X27,X28)=X22)|~(in(X27,X12)))|~(X28=singleton(X27)))|(~(in(X26,cartesian_product2(X12,X13)))|~(X26=X22)))|in(X22,esk8_2(X12,X13)))&(~(in(X22,esk8_2(X12,X13)))|((in(esk9_3(X12,X13,X22),cartesian_product2(X12,X13))&esk9_3(X12,X13,X22)=X22)&((ordered_pair(esk10_3(X12,X13,X22),esk11_3(X12,X13,X22))=X22&in(esk10_3(X12,X13,X22),X12))&esk11_3(X12,X13,X22)=singleton(esk10_3(X12,X13,X22))))))|((((esk1_2(X12,X13)=esk2_2(X12,X13)&((ordered_pair(esk4_2(X12,X13),esk5_2(X12,X13))=esk2_2(X12,X13)&in(esk4_2(X12,X13),X12))&esk5_2(X12,X13)=singleton(esk4_2(X12,X13))))&esk1_2(X12,X13)=esk3_2(X12,X13))&((ordered_pair(esk6_2(X12,X13),esk7_2(X12,X13))=esk3_2(X12,X13)&in(esk6_2(X12,X13),X12))&esk7_2(X12,X13)=singleton(esk6_2(X12,X13))))&~(esk2_2(X12,X13)=esk3_2(X12,X13)))),inference(shift_quantors,[status(thm)],[26])).
% fof(28, plain,![X12]:![X13]:![X22]:![X26]:![X27]:![X28]:((((((esk1_2(X12,X13)=esk2_2(X12,X13)|((((~(ordered_pair(X27,X28)=X22)|~(in(X27,X12)))|~(X28=singleton(X27)))|(~(in(X26,cartesian_product2(X12,X13)))|~(X26=X22)))|in(X22,esk8_2(X12,X13))))&(((ordered_pair(esk4_2(X12,X13),esk5_2(X12,X13))=esk2_2(X12,X13)|((((~(ordered_pair(X27,X28)=X22)|~(in(X27,X12)))|~(X28=singleton(X27)))|(~(in(X26,cartesian_product2(X12,X13)))|~(X26=X22)))|in(X22,esk8_2(X12,X13))))&(in(esk4_2(X12,X13),X12)|((((~(ordered_pair(X27,X28)=X22)|~(in(X27,X12)))|~(X28=singleton(X27)))|(~(in(X26,cartesian_product2(X12,X13)))|~(X26=X22)))|in(X22,esk8_2(X12,X13)))))&(esk5_2(X12,X13)=singleton(esk4_2(X12,X13))|((((~(ordered_pair(X27,X28)=X22)|~(in(X27,X12)))|~(X28=singleton(X27)))|(~(in(X26,cartesian_product2(X12,X13)))|~(X26=X22)))|in(X22,esk8_2(X12,X13))))))&(esk1_2(X12,X13)=esk3_2(X12,X13)|((((~(ordered_pair(X27,X28)=X22)|~(in(X27,X12)))|~(X28=singleton(X27)))|(~(in(X26,cartesian_product2(X12,X13)))|~(X26=X22)))|in(X22,esk8_2(X12,X13)))))&(((ordered_pair(esk6_2(X12,X13),esk7_2(X12,X13))=esk3_2(X12,X13)|((((~(ordered_pair(X27,X28)=X22)|~(in(X27,X12)))|~(X28=singleton(X27)))|(~(in(X26,cartesian_product2(X12,X13)))|~(X26=X22)))|in(X22,esk8_2(X12,X13))))&(in(esk6_2(X12,X13),X12)|((((~(ordered_pair(X27,X28)=X22)|~(in(X27,X12)))|~(X28=singleton(X27)))|(~(in(X26,cartesian_product2(X12,X13)))|~(X26=X22)))|in(X22,esk8_2(X12,X13)))))&(esk7_2(X12,X13)=singleton(esk6_2(X12,X13))|((((~(ordered_pair(X27,X28)=X22)|~(in(X27,X12)))|~(X28=singleton(X27)))|(~(in(X26,cartesian_product2(X12,X13)))|~(X26=X22)))|in(X22,esk8_2(X12,X13))))))&(~(esk2_2(X12,X13)=esk3_2(X12,X13))|((((~(ordered_pair(X27,X28)=X22)|~(in(X27,X12)))|~(X28=singleton(X27)))|(~(in(X26,cartesian_product2(X12,X13)))|~(X26=X22)))|in(X22,esk8_2(X12,X13)))))&(((((((esk1_2(X12,X13)=esk2_2(X12,X13)|(in(esk9_3(X12,X13,X22),cartesian_product2(X12,X13))|~(in(X22,esk8_2(X12,X13)))))&(((ordered_pair(esk4_2(X12,X13),esk5_2(X12,X13))=esk2_2(X12,X13)|(in(esk9_3(X12,X13,X22),cartesian_product2(X12,X13))|~(in(X22,esk8_2(X12,X13)))))&(in(esk4_2(X12,X13),X12)|(in(esk9_3(X12,X13,X22),cartesian_product2(X12,X13))|~(in(X22,esk8_2(X12,X13))))))&(esk5_2(X12,X13)=singleton(esk4_2(X12,X13))|(in(esk9_3(X12,X13,X22),cartesian_product2(X12,X13))|~(in(X22,esk8_2(X12,X13)))))))&(esk1_2(X12,X13)=esk3_2(X12,X13)|(in(esk9_3(X12,X13,X22),cartesian_product2(X12,X13))|~(in(X22,esk8_2(X12,X13))))))&(((ordered_pair(esk6_2(X12,X13),esk7_2(X12,X13))=esk3_2(X12,X13)|(in(esk9_3(X12,X13,X22),cartesian_product2(X12,X13))|~(in(X22,esk8_2(X12,X13)))))&(in(esk6_2(X12,X13),X12)|(in(esk9_3(X12,X13,X22),cartesian_product2(X12,X13))|~(in(X22,esk8_2(X12,X13))))))&(esk7_2(X12,X13)=singleton(esk6_2(X12,X13))|(in(esk9_3(X12,X13,X22),cartesian_product2(X12,X13))|~(in(X22,esk8_2(X12,X13)))))))&(~(esk2_2(X12,X13)=esk3_2(X12,X13))|(in(esk9_3(X12,X13,X22),cartesian_product2(X12,X13))|~(in(X22,esk8_2(X12,X13))))))&(((((esk1_2(X12,X13)=esk2_2(X12,X13)|(esk9_3(X12,X13,X22)=X22|~(in(X22,esk8_2(X12,X13)))))&(((ordered_pair(esk4_2(X12,X13),esk5_2(X12,X13))=esk2_2(X12,X13)|(esk9_3(X12,X13,X22)=X22|~(in(X22,esk8_2(X12,X13)))))&(in(esk4_2(X12,X13),X12)|(esk9_3(X12,X13,X22)=X22|~(in(X22,esk8_2(X12,X13))))))&(esk5_2(X12,X13)=singleton(esk4_2(X12,X13))|(esk9_3(X12,X13,X22)=X22|~(in(X22,esk8_2(X12,X13)))))))&(esk1_2(X12,X13)=esk3_2(X12,X13)|(esk9_3(X12,X13,X22)=X22|~(in(X22,esk8_2(X12,X13))))))&(((ordered_pair(esk6_2(X12,X13),esk7_2(X12,X13))=esk3_2(X12,X13)|(esk9_3(X12,X13,X22)=X22|~(in(X22,esk8_2(X12,X13)))))&(in(esk6_2(X12,X13),X12)|(esk9_3(X12,X13,X22)=X22|~(in(X22,esk8_2(X12,X13))))))&(esk7_2(X12,X13)=singleton(esk6_2(X12,X13))|(esk9_3(X12,X13,X22)=X22|~(in(X22,esk8_2(X12,X13)))))))&(~(esk2_2(X12,X13)=esk3_2(X12,X13))|(esk9_3(X12,X13,X22)=X22|~(in(X22,esk8_2(X12,X13)))))))&(((((((esk1_2(X12,X13)=esk2_2(X12,X13)|(ordered_pair(esk10_3(X12,X13,X22),esk11_3(X12,X13,X22))=X22|~(in(X22,esk8_2(X12,X13)))))&(((ordered_pair(esk4_2(X12,X13),esk5_2(X12,X13))=esk2_2(X12,X13)|(ordered_pair(esk10_3(X12,X13,X22),esk11_3(X12,X13,X22))=X22|~(in(X22,esk8_2(X12,X13)))))&(in(esk4_2(X12,X13),X12)|(ordered_pair(esk10_3(X12,X13,X22),esk11_3(X12,X13,X22))=X22|~(in(X22,esk8_2(X12,X13))))))&(esk5_2(X12,X13)=singleton(esk4_2(X12,X13))|(ordered_pair(esk10_3(X12,X13,X22),esk11_3(X12,X13,X22))=X22|~(in(X22,esk8_2(X12,X13)))))))&(esk1_2(X12,X13)=esk3_2(X12,X13)|(ordered_pair(esk10_3(X12,X13,X22),esk11_3(X12,X13,X22))=X22|~(in(X22,esk8_2(X12,X13))))))&(((ordered_pair(esk6_2(X12,X13),esk7_2(X12,X13))=esk3_2(X12,X13)|(ordered_pair(esk10_3(X12,X13,X22),esk11_3(X12,X13,X22))=X22|~(in(X22,esk8_2(X12,X13)))))&(in(esk6_2(X12,X13),X12)|(ordered_pair(esk10_3(X12,X13,X22),esk11_3(X12,X13,X22))=X22|~(in(X22,esk8_2(X12,X13))))))&(esk7_2(X12,X13)=singleton(esk6_2(X12,X13))|(ordered_pair(esk10_3(X12,X13,X22),esk11_3(X12,X13,X22))=X22|~(in(X22,esk8_2(X12,X13)))))))&(~(esk2_2(X12,X13)=esk3_2(X12,X13))|(ordered_pair(esk10_3(X12,X13,X22),esk11_3(X12,X13,X22))=X22|~(in(X22,esk8_2(X12,X13))))))&(((((esk1_2(X12,X13)=esk2_2(X12,X13)|(in(esk10_3(X12,X13,X22),X12)|~(in(X22,esk8_2(X12,X13)))))&(((ordered_pair(esk4_2(X12,X13),esk5_2(X12,X13))=esk2_2(X12,X13)|(in(esk10_3(X12,X13,X22),X12)|~(in(X22,esk8_2(X12,X13)))))&(in(esk4_2(X12,X13),X12)|(in(esk10_3(X12,X13,X22),X12)|~(in(X22,esk8_2(X12,X13))))))&(esk5_2(X12,X13)=singleton(esk4_2(X12,X13))|(in(esk10_3(X12,X13,X22),X12)|~(in(X22,esk8_2(X12,X13)))))))&(esk1_2(X12,X13)=esk3_2(X12,X13)|(in(esk10_3(X12,X13,X22),X12)|~(in(X22,esk8_2(X12,X13))))))&(((ordered_pair(esk6_2(X12,X13),esk7_2(X12,X13))=esk3_2(X12,X13)|(in(esk10_3(X12,X13,X22),X12)|~(in(X22,esk8_2(X12,X13)))))&(in(esk6_2(X12,X13),X12)|(in(esk10_3(X12,X13,X22),X12)|~(in(X22,esk8_2(X12,X13))))))&(esk7_2(X12,X13)=singleton(esk6_2(X12,X13))|(in(esk10_3(X12,X13,X22),X12)|~(in(X22,esk8_2(X12,X13)))))))&(~(esk2_2(X12,X13)=esk3_2(X12,X13))|(in(esk10_3(X12,X13,X22),X12)|~(in(X22,esk8_2(X12,X13)))))))&(((((esk1_2(X12,X13)=esk2_2(X12,X13)|(esk11_3(X12,X13,X22)=singleton(esk10_3(X12,X13,X22))|~(in(X22,esk8_2(X12,X13)))))&(((ordered_pair(esk4_2(X12,X13),esk5_2(X12,X13))=esk2_2(X12,X13)|(esk11_3(X12,X13,X22)=singleton(esk10_3(X12,X13,X22))|~(in(X22,esk8_2(X12,X13)))))&(in(esk4_2(X12,X13),X12)|(esk11_3(X12,X13,X22)=singleton(esk10_3(X12,X13,X22))|~(in(X22,esk8_2(X12,X13))))))&(esk5_2(X12,X13)=singleton(esk4_2(X12,X13))|(esk11_3(X12,X13,X22)=singleton(esk10_3(X12,X13,X22))|~(in(X22,esk8_2(X12,X13)))))))&(esk1_2(X12,X13)=esk3_2(X12,X13)|(esk11_3(X12,X13,X22)=singleton(esk10_3(X12,X13,X22))|~(in(X22,esk8_2(X12,X13))))))&(((ordered_pair(esk6_2(X12,X13),esk7_2(X12,X13))=esk3_2(X12,X13)|(esk11_3(X12,X13,X22)=singleton(esk10_3(X12,X13,X22))|~(in(X22,esk8_2(X12,X13)))))&(in(esk6_2(X12,X13),X12)|(esk11_3(X12,X13,X22)=singleton(esk10_3(X12,X13,X22))|~(in(X22,esk8_2(X12,X13))))))&(esk7_2(X12,X13)=singleton(esk6_2(X12,X13))|(esk11_3(X12,X13,X22)=singleton(esk10_3(X12,X13,X22))|~(in(X22,esk8_2(X12,X13)))))))&(~(esk2_2(X12,X13)=esk3_2(X12,X13))|(esk11_3(X12,X13,X22)=singleton(esk10_3(X12,X13,X22))|~(in(X22,esk8_2(X12,X13))))))))),inference(distribute,[status(thm)],[27])).
% cnf(29,plain,(esk11_3(X2,X3,X1)=singleton(esk10_3(X2,X3,X1))|~in(X1,esk8_2(X2,X3))|esk2_2(X2,X3)!=esk3_2(X2,X3)),inference(split_conjunct,[status(thm)],[28])).
% cnf(33,plain,(esk11_3(X2,X3,X1)=singleton(esk10_3(X2,X3,X1))|esk1_2(X2,X3)=esk3_2(X2,X3)|~in(X1,esk8_2(X2,X3))),inference(split_conjunct,[status(thm)],[28])).
% cnf(37,plain,(esk11_3(X2,X3,X1)=singleton(esk10_3(X2,X3,X1))|esk1_2(X2,X3)=esk2_2(X2,X3)|~in(X1,esk8_2(X2,X3))),inference(split_conjunct,[status(thm)],[28])).
% cnf(38,plain,(in(esk10_3(X2,X3,X1),X2)|~in(X1,esk8_2(X2,X3))|esk2_2(X2,X3)!=esk3_2(X2,X3)),inference(split_conjunct,[status(thm)],[28])).
% cnf(42,plain,(in(esk10_3(X2,X3,X1),X2)|esk1_2(X2,X3)=esk3_2(X2,X3)|~in(X1,esk8_2(X2,X3))),inference(split_conjunct,[status(thm)],[28])).
% cnf(46,plain,(in(esk10_3(X2,X3,X1),X2)|esk1_2(X2,X3)=esk2_2(X2,X3)|~in(X1,esk8_2(X2,X3))),inference(split_conjunct,[status(thm)],[28])).
% cnf(47,plain,(ordered_pair(esk10_3(X2,X3,X1),esk11_3(X2,X3,X1))=X1|~in(X1,esk8_2(X2,X3))|esk2_2(X2,X3)!=esk3_2(X2,X3)),inference(split_conjunct,[status(thm)],[28])).
% cnf(51,plain,(ordered_pair(esk10_3(X2,X3,X1),esk11_3(X2,X3,X1))=X1|esk1_2(X2,X3)=esk3_2(X2,X3)|~in(X1,esk8_2(X2,X3))),inference(split_conjunct,[status(thm)],[28])).
% cnf(55,plain,(ordered_pair(esk10_3(X2,X3,X1),esk11_3(X2,X3,X1))=X1|esk1_2(X2,X3)=esk2_2(X2,X3)|~in(X1,esk8_2(X2,X3))),inference(split_conjunct,[status(thm)],[28])).
% cnf(56,plain,(esk9_3(X2,X3,X1)=X1|~in(X1,esk8_2(X2,X3))|esk2_2(X2,X3)!=esk3_2(X2,X3)),inference(split_conjunct,[status(thm)],[28])).
% cnf(60,plain,(esk9_3(X2,X3,X1)=X1|esk1_2(X2,X3)=esk3_2(X2,X3)|~in(X1,esk8_2(X2,X3))),inference(split_conjunct,[status(thm)],[28])).
% cnf(64,plain,(esk9_3(X2,X3,X1)=X1|esk1_2(X2,X3)=esk2_2(X2,X3)|~in(X1,esk8_2(X2,X3))),inference(split_conjunct,[status(thm)],[28])).
% cnf(65,plain,(in(esk9_3(X2,X3,X1),cartesian_product2(X2,X3))|~in(X1,esk8_2(X2,X3))|esk2_2(X2,X3)!=esk3_2(X2,X3)),inference(split_conjunct,[status(thm)],[28])).
% cnf(69,plain,(in(esk9_3(X2,X3,X1),cartesian_product2(X2,X3))|esk1_2(X2,X3)=esk3_2(X2,X3)|~in(X1,esk8_2(X2,X3))),inference(split_conjunct,[status(thm)],[28])).
% cnf(73,plain,(in(esk9_3(X2,X3,X1),cartesian_product2(X2,X3))|esk1_2(X2,X3)=esk2_2(X2,X3)|~in(X1,esk8_2(X2,X3))),inference(split_conjunct,[status(thm)],[28])).
% cnf(74,plain,(in(X1,esk8_2(X2,X3))|X4!=X1|~in(X4,cartesian_product2(X2,X3))|X5!=singleton(X6)|~in(X6,X2)|ordered_pair(X6,X5)!=X1|esk2_2(X2,X3)!=esk3_2(X2,X3)),inference(split_conjunct,[status(thm)],[28])).
% cnf(78,plain,(in(X1,esk8_2(X2,X3))|esk1_2(X2,X3)=esk3_2(X2,X3)|X4!=X1|~in(X4,cartesian_product2(X2,X3))|X5!=singleton(X6)|~in(X6,X2)|ordered_pair(X6,X5)!=X1),inference(split_conjunct,[status(thm)],[28])).
% cnf(82,plain,(in(X1,esk8_2(X2,X3))|esk1_2(X2,X3)=esk2_2(X2,X3)|X4!=X1|~in(X4,cartesian_product2(X2,X3))|X5!=singleton(X6)|~in(X6,X2)|ordered_pair(X6,X5)!=X1),inference(split_conjunct,[status(thm)],[28])).
% fof(122, negated_conjecture,?[X1]:?[X2]:![X3]:?[X4]:((~(in(X4,X3))|(~(in(X4,cartesian_product2(X1,X2)))|![X5]:![X6]:((~(ordered_pair(X5,X6)=X4)|~(in(X5,X1)))|~(X6=singleton(X5)))))&(in(X4,X3)|(in(X4,cartesian_product2(X1,X2))&?[X5]:?[X6]:((ordered_pair(X5,X6)=X4&in(X5,X1))&X6=singleton(X5))))),inference(fof_nnf,[status(thm)],[16])).
% fof(123, negated_conjecture,?[X7]:?[X8]:![X9]:?[X10]:((~(in(X10,X9))|(~(in(X10,cartesian_product2(X7,X8)))|![X11]:![X12]:((~(ordered_pair(X11,X12)=X10)|~(in(X11,X7)))|~(X12=singleton(X11)))))&(in(X10,X9)|(in(X10,cartesian_product2(X7,X8))&?[X13]:?[X14]:((ordered_pair(X13,X14)=X10&in(X13,X7))&X14=singleton(X13))))),inference(variable_rename,[status(thm)],[122])).
% fof(124, negated_conjecture,![X9]:((~(in(esk18_1(X9),X9))|(~(in(esk18_1(X9),cartesian_product2(esk16_0,esk17_0)))|![X11]:![X12]:((~(ordered_pair(X11,X12)=esk18_1(X9))|~(in(X11,esk16_0)))|~(X12=singleton(X11)))))&(in(esk18_1(X9),X9)|(in(esk18_1(X9),cartesian_product2(esk16_0,esk17_0))&((ordered_pair(esk19_1(X9),esk20_1(X9))=esk18_1(X9)&in(esk19_1(X9),esk16_0))&esk20_1(X9)=singleton(esk19_1(X9)))))),inference(skolemize,[status(esa)],[123])).
% fof(125, negated_conjecture,![X9]:![X11]:![X12]:(((((~(ordered_pair(X11,X12)=esk18_1(X9))|~(in(X11,esk16_0)))|~(X12=singleton(X11)))|~(in(esk18_1(X9),cartesian_product2(esk16_0,esk17_0))))|~(in(esk18_1(X9),X9)))&(in(esk18_1(X9),X9)|(in(esk18_1(X9),cartesian_product2(esk16_0,esk17_0))&((ordered_pair(esk19_1(X9),esk20_1(X9))=esk18_1(X9)&in(esk19_1(X9),esk16_0))&esk20_1(X9)=singleton(esk19_1(X9)))))),inference(shift_quantors,[status(thm)],[124])).
% fof(126, negated_conjecture,![X9]:![X11]:![X12]:(((((~(ordered_pair(X11,X12)=esk18_1(X9))|~(in(X11,esk16_0)))|~(X12=singleton(X11)))|~(in(esk18_1(X9),cartesian_product2(esk16_0,esk17_0))))|~(in(esk18_1(X9),X9)))&((in(esk18_1(X9),cartesian_product2(esk16_0,esk17_0))|in(esk18_1(X9),X9))&(((ordered_pair(esk19_1(X9),esk20_1(X9))=esk18_1(X9)|in(esk18_1(X9),X9))&(in(esk19_1(X9),esk16_0)|in(esk18_1(X9),X9)))&(esk20_1(X9)=singleton(esk19_1(X9))|in(esk18_1(X9),X9))))),inference(distribute,[status(thm)],[125])).
% cnf(127,negated_conjecture,(in(esk18_1(X1),X1)|esk20_1(X1)=singleton(esk19_1(X1))),inference(split_conjunct,[status(thm)],[126])).
% cnf(128,negated_conjecture,(in(esk18_1(X1),X1)|in(esk19_1(X1),esk16_0)),inference(split_conjunct,[status(thm)],[126])).
% cnf(129,negated_conjecture,(in(esk18_1(X1),X1)|ordered_pair(esk19_1(X1),esk20_1(X1))=esk18_1(X1)),inference(split_conjunct,[status(thm)],[126])).
% cnf(130,negated_conjecture,(in(esk18_1(X1),X1)|in(esk18_1(X1),cartesian_product2(esk16_0,esk17_0))),inference(split_conjunct,[status(thm)],[126])).
% cnf(131,negated_conjecture,(~in(esk18_1(X1),X1)|~in(esk18_1(X1),cartesian_product2(esk16_0,esk17_0))|X2!=singleton(X3)|~in(X3,esk16_0)|ordered_pair(X3,X2)!=esk18_1(X1)),inference(split_conjunct,[status(thm)],[126])).
% cnf(132,negated_conjecture,(ordered_pair(X1,singleton(X1))!=esk18_1(X2)|~in(esk18_1(X2),cartesian_product2(esk16_0,esk17_0))|~in(esk18_1(X2),X2)|~in(X1,esk16_0)),inference(er,[status(thm)],[131,theory(equality)])).
% cnf(154,negated_conjecture,(esk1_2(X1,X2)=esk2_2(X1,X2)|esk9_3(X1,X2,esk18_1(esk8_2(X1,X2)))=esk18_1(esk8_2(X1,X2))|in(esk18_1(esk8_2(X1,X2)),cartesian_product2(esk16_0,esk17_0))),inference(spm,[status(thm)],[64,130,theory(equality)])).
% cnf(157,negated_conjecture,(esk1_2(X1,X2)=esk3_2(X1,X2)|esk9_3(X1,X2,esk18_1(esk8_2(X1,X2)))=esk18_1(esk8_2(X1,X2))|in(esk18_1(esk8_2(X1,X2)),cartesian_product2(esk16_0,esk17_0))),inference(spm,[status(thm)],[60,130,theory(equality)])).
% cnf(172,negated_conjecture,(esk1_2(X1,X2)=esk2_2(X1,X2)|in(esk9_3(X1,X2,esk18_1(esk8_2(X1,X2))),cartesian_product2(X1,X2))|in(esk18_1(esk8_2(X1,X2)),cartesian_product2(esk16_0,esk17_0))),inference(spm,[status(thm)],[73,130,theory(equality)])).
% cnf(175,negated_conjecture,(esk1_2(X1,X2)=esk3_2(X1,X2)|in(esk9_3(X1,X2,esk18_1(esk8_2(X1,X2))),cartesian_product2(X1,X2))|in(esk18_1(esk8_2(X1,X2)),cartesian_product2(esk16_0,esk17_0))),inference(spm,[status(thm)],[69,130,theory(equality)])).
% cnf(221,plain,(esk1_2(X1,X2)=esk2_2(X1,X2)|in(X3,esk8_2(X1,X2))|ordered_pair(X4,X5)!=X3|singleton(X4)!=X5|~in(X3,cartesian_product2(X1,X2))|~in(X4,X1)),inference(er,[status(thm)],[82,theory(equality)])).
% cnf(252,plain,(in(X1,esk8_2(X2,X3))|esk3_2(X2,X3)!=esk2_2(X2,X3)|ordered_pair(X4,X5)!=X1|singleton(X4)!=X5|~in(X1,cartesian_product2(X2,X3))|~in(X4,X2)),inference(er,[status(thm)],[74,theory(equality)])).
% cnf(256,plain,(esk1_2(X1,X2)=esk3_2(X1,X2)|in(X3,esk8_2(X1,X2))|ordered_pair(X4,X5)!=X3|singleton(X4)!=X5|~in(X3,cartesian_product2(X1,X2))|~in(X4,X1)),inference(er,[status(thm)],[78,theory(equality)])).
% cnf(367,plain,(in(X1,esk8_2(X2,X3))|esk3_2(X2,X3)!=esk2_2(X2,X3)|ordered_pair(X4,singleton(X4))!=X1|~in(X1,cartesian_product2(X2,X3))|~in(X4,X2)),inference(er,[status(thm)],[252,theory(equality)])).
% cnf(370,negated_conjecture,(in(X1,esk8_2(X2,X3))|in(esk18_1(X4),X4)|esk3_2(X2,X3)!=esk2_2(X2,X3)|ordered_pair(esk19_1(X4),esk20_1(X4))!=X1|~in(X1,cartesian_product2(X2,X3))|~in(esk19_1(X4),X2)),inference(spm,[status(thm)],[367,127,theory(equality)])).
% cnf(376,plain,(esk1_2(X1,X2)=esk2_2(X1,X2)|in(X3,esk8_2(X1,X2))|ordered_pair(X4,singleton(X4))!=X3|~in(X3,cartesian_product2(X1,X2))|~in(X4,X1)),inference(er,[status(thm)],[221,theory(equality)])).
% cnf(630,negated_conjecture,(esk1_2(X1,X2)=esk2_2(X1,X2)|in(X3,esk8_2(X1,X2))|in(esk18_1(X4),X4)|ordered_pair(esk19_1(X4),esk20_1(X4))!=X3|~in(X3,cartesian_product2(X1,X2))|~in(esk19_1(X4),X1)),inference(spm,[status(thm)],[376,127,theory(equality)])).
% cnf(632,plain,(esk1_2(X1,X2)=esk3_2(X1,X2)|in(X3,esk8_2(X1,X2))|ordered_pair(X4,singleton(X4))!=X3|~in(X3,cartesian_product2(X1,X2))|~in(X4,X1)),inference(er,[status(thm)],[256,theory(equality)])).
% cnf(636,negated_conjecture,(esk1_2(X1,X2)=esk3_2(X1,X2)|in(X3,esk8_2(X1,X2))|in(esk18_1(X4),X4)|ordered_pair(esk19_1(X4),esk20_1(X4))!=X3|~in(X3,cartesian_product2(X1,X2))|~in(esk19_1(X4),X1)),inference(spm,[status(thm)],[632,127,theory(equality)])).
% cnf(894,negated_conjecture,(in(X1,esk8_2(X2,X3))|in(esk18_1(X4),X4)|esk18_1(X4)!=X1|esk3_2(X2,X3)!=esk2_2(X2,X3)|~in(X1,cartesian_product2(X2,X3))|~in(esk19_1(X4),X2)),inference(spm,[status(thm)],[370,129,theory(equality)])).
% cnf(895,negated_conjecture,(in(esk18_1(X1),esk8_2(X2,X3))|in(esk18_1(X1),X1)|esk3_2(X2,X3)!=esk2_2(X2,X3)|~in(esk18_1(X1),cartesian_product2(X2,X3))|~in(esk19_1(X1),X2)),inference(er,[status(thm)],[894,theory(equality)])).
% cnf(896,negated_conjecture,(in(esk18_1(X1),esk8_2(esk16_0,X2))|in(esk18_1(X1),X1)|esk3_2(esk16_0,X2)!=esk2_2(esk16_0,X2)|~in(esk18_1(X1),cartesian_product2(esk16_0,X2))),inference(spm,[status(thm)],[895,128,theory(equality)])).
% cnf(1494,negated_conjecture,(esk1_2(X1,X2)=esk2_2(X1,X2)|in(esk18_1(esk8_2(X1,X2)),cartesian_product2(X1,X2))|in(esk18_1(esk8_2(X1,X2)),cartesian_product2(esk16_0,esk17_0))),inference(spm,[status(thm)],[172,154,theory(equality)])).
% cnf(1632,negated_conjecture,(esk1_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)|in(esk18_1(esk8_2(esk16_0,esk17_0)),cartesian_product2(esk16_0,esk17_0))),inference(ef,[status(thm)],[1494,theory(equality)])).
% cnf(1871,negated_conjecture,(esk1_2(X1,X2)=esk3_2(X1,X2)|in(esk18_1(esk8_2(X1,X2)),cartesian_product2(X1,X2))|in(esk18_1(esk8_2(X1,X2)),cartesian_product2(esk16_0,esk17_0))),inference(spm,[status(thm)],[175,157,theory(equality)])).
% cnf(2226,negated_conjecture,(esk1_2(esk16_0,esk17_0)=esk3_2(esk16_0,esk17_0)|in(esk18_1(esk8_2(esk16_0,esk17_0)),cartesian_product2(esk16_0,esk17_0))),inference(ef,[status(thm)],[1871,theory(equality)])).
% cnf(2509,negated_conjecture,(esk1_2(X1,X2)=esk2_2(X1,X2)|in(X3,esk8_2(X1,X2))|in(esk18_1(X4),X4)|esk18_1(X4)!=X3|~in(X3,cartesian_product2(X1,X2))|~in(esk19_1(X4),X1)),inference(spm,[status(thm)],[630,129,theory(equality)])).
% cnf(2510,negated_conjecture,(esk1_2(X1,X2)=esk2_2(X1,X2)|in(esk18_1(X3),esk8_2(X1,X2))|in(esk18_1(X3),X3)|~in(esk18_1(X3),cartesian_product2(X1,X2))|~in(esk19_1(X3),X1)),inference(er,[status(thm)],[2509,theory(equality)])).
% cnf(2669,negated_conjecture,(esk1_2(esk16_0,X1)=esk2_2(esk16_0,X1)|in(esk18_1(X2),esk8_2(esk16_0,X1))|in(esk18_1(X2),X2)|~in(esk18_1(X2),cartesian_product2(esk16_0,X1))),inference(spm,[status(thm)],[2510,128,theory(equality)])).
% cnf(2693,negated_conjecture,(esk1_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)|in(esk18_1(esk8_2(esk16_0,esk17_0)),esk8_2(esk16_0,esk17_0))),inference(spm,[status(thm)],[2669,1632,theory(equality)])).
% cnf(2701,negated_conjecture,(esk1_2(X1,X2)=esk3_2(X1,X2)|in(X3,esk8_2(X1,X2))|in(esk18_1(X4),X4)|esk18_1(X4)!=X3|~in(X3,cartesian_product2(X1,X2))|~in(esk19_1(X4),X1)),inference(spm,[status(thm)],[636,129,theory(equality)])).
% cnf(2702,negated_conjecture,(esk1_2(X1,X2)=esk3_2(X1,X2)|in(esk18_1(X3),esk8_2(X1,X2))|in(esk18_1(X3),X3)|~in(esk18_1(X3),cartesian_product2(X1,X2))|~in(esk19_1(X3),X1)),inference(er,[status(thm)],[2701,theory(equality)])).
% cnf(2712,negated_conjecture,(esk1_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)|in(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk16_0)),inference(spm,[status(thm)],[46,2693,theory(equality)])).
% cnf(2724,negated_conjecture,(singleton(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))=esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0)))|esk1_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)),inference(spm,[status(thm)],[37,2693,theory(equality)])).
% cnf(2736,negated_conjecture,(ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))=esk18_1(esk8_2(esk16_0,esk17_0))|esk1_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)),inference(spm,[status(thm)],[55,2693,theory(equality)])).
% cnf(2779,negated_conjecture,(esk1_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)|ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(X1)|~in(esk18_1(X1),cartesian_product2(esk16_0,esk17_0))|~in(esk18_1(X1),X1)|~in(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk16_0)),inference(spm,[status(thm)],[132,2724,theory(equality)])).
% cnf(2964,negated_conjecture,(esk1_2(esk16_0,X1)=esk3_2(esk16_0,X1)|in(esk18_1(X2),esk8_2(esk16_0,X1))|in(esk18_1(X2),X2)|~in(esk18_1(X2),cartesian_product2(esk16_0,X1))),inference(spm,[status(thm)],[2702,128,theory(equality)])).
% cnf(2992,negated_conjecture,(esk1_2(esk16_0,esk17_0)=esk3_2(esk16_0,esk17_0)|in(esk18_1(esk8_2(esk16_0,esk17_0)),esk8_2(esk16_0,esk17_0))),inference(spm,[status(thm)],[2964,2226,theory(equality)])).
% cnf(3011,negated_conjecture,(esk1_2(esk16_0,esk17_0)=esk3_2(esk16_0,esk17_0)|in(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk16_0)),inference(spm,[status(thm)],[42,2992,theory(equality)])).
% cnf(3023,negated_conjecture,(singleton(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))=esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0)))|esk1_2(esk16_0,esk17_0)=esk3_2(esk16_0,esk17_0)),inference(spm,[status(thm)],[33,2992,theory(equality)])).
% cnf(3077,negated_conjecture,(esk1_2(esk16_0,esk17_0)=esk3_2(esk16_0,esk17_0)|ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(X1)|~in(esk18_1(X1),cartesian_product2(esk16_0,esk17_0))|~in(esk18_1(X1),X1)|~in(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk16_0)),inference(spm,[status(thm)],[132,3023,theory(equality)])).
% cnf(4804,negated_conjecture,(esk1_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)|ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(X1)|~in(esk18_1(X1),cartesian_product2(esk16_0,esk17_0))|~in(esk18_1(X1),X1)),inference(csr,[status(thm)],[2779,2712])).
% cnf(4805,negated_conjecture,(esk1_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)|ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(esk8_2(esk16_0,esk17_0))|~in(esk18_1(esk8_2(esk16_0,esk17_0)),cartesian_product2(esk16_0,esk17_0))),inference(spm,[status(thm)],[4804,2693,theory(equality)])).
% cnf(4829,negated_conjecture,(esk1_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)|ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(esk8_2(esk16_0,esk17_0))),inference(csr,[status(thm)],[4805,1632])).
% cnf(5041,negated_conjecture,(esk1_2(esk16_0,esk17_0)=esk3_2(esk16_0,esk17_0)|ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(X1)|~in(esk18_1(X1),cartesian_product2(esk16_0,esk17_0))|~in(esk18_1(X1),X1)),inference(csr,[status(thm)],[3077,3011])).
% cnf(9333,negated_conjecture,(esk1_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)),inference(csr,[status(thm)],[2736,4829])).
% cnf(9390,negated_conjecture,(esk2_2(esk16_0,esk17_0)=esk3_2(esk16_0,esk17_0)|ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(X1)|~in(esk18_1(X1),cartesian_product2(esk16_0,esk17_0))|~in(esk18_1(X1),X1)),inference(rw,[status(thm)],[5041,9333,theory(equality)])).
% cnf(9398,negated_conjecture,(esk2_2(esk16_0,esk17_0)=esk3_2(esk16_0,esk17_0)|in(esk18_1(esk8_2(esk16_0,esk17_0)),esk8_2(esk16_0,esk17_0))),inference(rw,[status(thm)],[2992,9333,theory(equality)])).
% cnf(9417,negated_conjecture,(esk2_2(esk16_0,esk17_0)=esk3_2(esk16_0,esk17_0)|in(esk18_1(esk8_2(esk16_0,esk17_0)),cartesian_product2(esk16_0,esk17_0))),inference(rw,[status(thm)],[2226,9333,theory(equality)])).
% cnf(9498,negated_conjecture,(ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))=esk18_1(esk8_2(esk16_0,esk17_0))|esk1_2(esk16_0,esk17_0)=esk3_2(esk16_0,esk17_0)|esk3_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)),inference(spm,[status(thm)],[51,9398,theory(equality)])).
% cnf(9524,negated_conjecture,(ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))=esk18_1(esk8_2(esk16_0,esk17_0))|esk2_2(esk16_0,esk17_0)=esk3_2(esk16_0,esk17_0)|esk3_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)),inference(rw,[status(thm)],[9498,9333,theory(equality)])).
% cnf(9525,negated_conjecture,(ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))=esk18_1(esk8_2(esk16_0,esk17_0))|esk2_2(esk16_0,esk17_0)=esk3_2(esk16_0,esk17_0)),inference(cn,[status(thm)],[9524,theory(equality)])).
% cnf(10153,negated_conjecture,(esk3_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)|ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(esk8_2(esk16_0,esk17_0))|~in(esk18_1(esk8_2(esk16_0,esk17_0)),cartesian_product2(esk16_0,esk17_0))),inference(spm,[status(thm)],[9390,9398,theory(equality)])).
% cnf(10186,negated_conjecture,(esk3_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)|ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(esk8_2(esk16_0,esk17_0))),inference(csr,[status(thm)],[10153,9417])).
% cnf(11345,negated_conjecture,(esk3_2(esk16_0,esk17_0)=esk2_2(esk16_0,esk17_0)),inference(csr,[status(thm)],[9525,10186])).
% cnf(11349,negated_conjecture,(esk9_3(esk16_0,esk17_0,X1)=X1|~in(X1,esk8_2(esk16_0,esk17_0))),inference(spm,[status(thm)],[56,11345,theory(equality)])).
% cnf(11350,negated_conjecture,(in(esk10_3(esk16_0,esk17_0,X1),esk16_0)|~in(X1,esk8_2(esk16_0,esk17_0))),inference(spm,[status(thm)],[38,11345,theory(equality)])).
% cnf(11351,negated_conjecture,(in(esk9_3(esk16_0,esk17_0,X1),cartesian_product2(esk16_0,esk17_0))|~in(X1,esk8_2(esk16_0,esk17_0))),inference(spm,[status(thm)],[65,11345,theory(equality)])).
% cnf(11352,negated_conjecture,(singleton(esk10_3(esk16_0,esk17_0,X1))=esk11_3(esk16_0,esk17_0,X1)|~in(X1,esk8_2(esk16_0,esk17_0))),inference(spm,[status(thm)],[29,11345,theory(equality)])).
% cnf(11353,negated_conjecture,(ordered_pair(esk10_3(esk16_0,esk17_0,X1),esk11_3(esk16_0,esk17_0,X1))=X1|~in(X1,esk8_2(esk16_0,esk17_0))),inference(spm,[status(thm)],[47,11345,theory(equality)])).
% cnf(11358,negated_conjecture,(in(esk18_1(X1),esk8_2(esk16_0,esk17_0))|in(esk18_1(X1),X1)|~in(esk18_1(X1),cartesian_product2(esk16_0,esk17_0))),inference(spm,[status(thm)],[896,11345,theory(equality)])).
% cnf(11656,negated_conjecture,(in(esk18_1(X1),esk8_2(esk16_0,esk17_0))|in(esk18_1(X1),X1)),inference(csr,[status(thm)],[11358,130])).
% cnf(11657,negated_conjecture,(in(esk18_1(esk8_2(esk16_0,esk17_0)),esk8_2(esk16_0,esk17_0))),inference(ef,[status(thm)],[11656,theory(equality)])).
% cnf(11838,negated_conjecture,(singleton(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))=esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0)))),inference(spm,[status(thm)],[11352,11657,theory(equality)])).
% cnf(11839,negated_conjecture,(ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))=esk18_1(esk8_2(esk16_0,esk17_0))),inference(spm,[status(thm)],[11353,11657,theory(equality)])).
% cnf(11840,negated_conjecture,(in(esk9_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),cartesian_product2(esk16_0,esk17_0))),inference(spm,[status(thm)],[11351,11657,theory(equality)])).
% cnf(11841,negated_conjecture,(esk9_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0)))=esk18_1(esk8_2(esk16_0,esk17_0))),inference(spm,[status(thm)],[11349,11657,theory(equality)])).
% cnf(11842,negated_conjecture,(in(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk16_0)),inference(spm,[status(thm)],[11350,11657,theory(equality)])).
% cnf(11963,negated_conjecture,(ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(X1)|~in(esk18_1(X1),cartesian_product2(esk16_0,esk17_0))|~in(esk18_1(X1),X1)|~in(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk16_0)),inference(spm,[status(thm)],[132,11838,theory(equality)])).
% cnf(12093,negated_conjecture,(ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(X1)|$false|~in(esk18_1(X1),cartesian_product2(esk16_0,esk17_0))|~in(esk18_1(X1),X1)),inference(rw,[status(thm)],[11963,11842,theory(equality)])).
% cnf(12094,negated_conjecture,(ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(X1)|~in(esk18_1(X1),cartesian_product2(esk16_0,esk17_0))|~in(esk18_1(X1),X1)),inference(cn,[status(thm)],[12093,theory(equality)])).
% cnf(12099,negated_conjecture,(ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(esk8_2(esk16_0,esk17_0))|~in(esk18_1(esk8_2(esk16_0,esk17_0)),cartesian_product2(esk16_0,esk17_0))),inference(spm,[status(thm)],[12094,11657,theory(equality)])).
% cnf(12242,negated_conjecture,(in(esk18_1(esk8_2(esk16_0,esk17_0)),cartesian_product2(esk16_0,esk17_0))),inference(rw,[status(thm)],[11840,11841,theory(equality)])).
% cnf(12260,negated_conjecture,(ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(esk8_2(esk16_0,esk17_0))|$false),inference(rw,[status(thm)],[12099,12242,theory(equality)])).
% cnf(12261,negated_conjecture,(ordered_pair(esk10_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))),esk11_3(esk16_0,esk17_0,esk18_1(esk8_2(esk16_0,esk17_0))))!=esk18_1(esk8_2(esk16_0,esk17_0))),inference(cn,[status(thm)],[12260,theory(equality)])).
% cnf(13964,negated_conjecture,($false),inference(sr,[status(thm)],[11839,12261,theory(equality)])).
% cnf(13965,negated_conjecture,($false),13964,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1818
% # ...of these trivial : 53
% # ...subsumed : 999
% # ...remaining for further processing: 766
% # Other redundant clauses eliminated : 9
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 94
% # Backward-rewritten : 145
% # Generated clauses : 11606
% # ...of the previous two non-trivial : 11222
% # Contextual simplify-reflections : 1013
% # Paramodulations : 11502
% # Factorizations : 26
% # Equation resolutions : 78
% # Current number of processed clauses: 517
% # Positive orientable unit clauses: 15
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 9
% # Non-unit-clauses : 493
% # Current number of unprocessed clauses: 4425
% # ...number of literals in the above : 21887
% # Clause-clause subsumption calls (NU) : 11070
% # Rec. Clause-clause subsumption calls : 7288
% # Unit Clause-clause subsumption calls : 115
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 14
% # Indexed BW rewrite successes : 7
% # Backwards rewriting index: 155 leaves, 1.55+/-0.867 terms/leaf
% # Paramod-from index: 38 leaves, 1.21+/-0.408 terms/leaf
% # Paramod-into index: 113 leaves, 1.30+/-0.578 terms/leaf
% # -------------------------------------------------
% # User time : 0.624 s
% # System time : 0.015 s
% # Total time : 0.639 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.91 CPU 1.00 WC
% FINAL PrfWatch: 0.91 CPU 1.00 WC
% SZS output end Solution for /tmp/SystemOnTPTP16741/SEU281+1.tptp
%
%------------------------------------------------------------------------------