%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU216+3 : TPTP v5.0.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Thu Dec 30 02:02:10 EST 2010

% Result   : Theorem 98.32s
% Output   : Solution 99.34s
% 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/SystemOnTPTP29039/SEU216+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t34_funct_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... antisymmetry_r2_hidden:
%  CSA axiom antisymmetry_r2_hidden found
% Looking for CSA axiom ... dt_k6_relat_1:
%  CSA axiom dt_k6_relat_1 found
% Looking for CSA axiom ... fc2_funct_1:
%  CSA axiom fc2_funct_1 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... rc1_funct_1:
% t8_funct_1:
%  CSA axiom t8_funct_1 found
% Looking for CSA axiom ... fc5_relat_1:
%  CSA axiom fc5_relat_1 found
% Looking for CSA axiom ... fc7_relat_1:
%  CSA axiom fc7_relat_1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... rc1_funct_1:
% d10_relat_1:
%  CSA axiom d10_relat_1 found
% Looking for CSA axiom ... d4_funct_1:
%  CSA axiom d4_funct_1 found
% Looking for CSA axiom ... t71_relat_1:
%  CSA axiom t71_relat_1 found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :t71_relat_1:d4_funct_1:d10_relat_1:fc7_relat_1:fc5_relat_1:t8_funct_1:fc2_funct_1:dt_k6_relat_1:antisymmetry_r2_hidden (9)
% Unselected axioms are ... :rc1_funct_1:cc1_funct_1:t8_boole:t7_boole:cc1_relat_1:rc1_relat_1:rc2_relat_1:existence_m1_subset_1:rc1_xboole_0:rc2_xboole_0:t1_subset:commutativity_k2_tarski:t6_boole:fc4_relat_1:rc3_relat_1:fc3_subset_1:fc1_xboole_0:fc1_zfmisc_1:t4_subset:t2_subset:t5_subset:fc12_relat_1:fc6_relat_1:fc8_relat_1:reflexivity_r1_tarski:d5_tarski:fc1_subset_1:fc2_subset_1:t3_subset:rc1_subset_1:rc2_subset_1 (31)
% SZS status THM for /tmp/SystemOnTPTP29039/SEU216+3.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP29039/SEU216+3.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=600 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 600s
% TreeLimitedRun: WC  time limit is 1200s
% TreeLimitedRun: PID is 31939
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:(relation_dom(identity_relation(X1))=X1&relation_rng(identity_relation(X1))=X1),file('/tmp/SRASS.s.p', t71_relat_1)).
% fof(2, axiom,![X1]:((relation(X1)&function(X1))=>![X2]:![X3]:((in(X2,relation_dom(X1))=>(X3=apply(X1,X2)<=>in(ordered_pair(X2,X3),X1)))&(~(in(X2,relation_dom(X1)))=>(X3=apply(X1,X2)<=>X3=empty_set)))),file('/tmp/SRASS.s.p', d4_funct_1)).
% fof(3, axiom,![X1]:![X2]:(relation(X2)=>(X2=identity_relation(X1)<=>![X3]:![X4]:(in(ordered_pair(X3,X4),X2)<=>(in(X3,X1)&X3=X4)))),file('/tmp/SRASS.s.p', d10_relat_1)).
% fof(6, axiom,![X1]:![X2]:![X3]:((relation(X3)&function(X3))=>(in(ordered_pair(X1,X2),X3)<=>(in(X1,relation_dom(X3))&X2=apply(X3,X1)))),file('/tmp/SRASS.s.p', t8_funct_1)).
% fof(7, axiom,![X1]:(relation(identity_relation(X1))&function(identity_relation(X1))),file('/tmp/SRASS.s.p', fc2_funct_1)).
% fof(10, conjecture,![X1]:![X2]:((relation(X2)&function(X2))=>(X2=identity_relation(X1)<=>(relation_dom(X2)=X1&![X3]:(in(X3,X1)=>apply(X2,X3)=X3)))),file('/tmp/SRASS.s.p', t34_funct_1)).
% fof(11, negated_conjecture,~(![X1]:![X2]:((relation(X2)&function(X2))=>(X2=identity_relation(X1)<=>(relation_dom(X2)=X1&![X3]:(in(X3,X1)=>apply(X2,X3)=X3))))),inference(assume_negation,[status(cth)],[10])).
% fof(12, plain,![X1]:((relation(X1)&function(X1))=>![X2]:![X3]:((in(X2,relation_dom(X1))=>(X3=apply(X1,X2)<=>in(ordered_pair(X2,X3),X1)))&(~(in(X2,relation_dom(X1)))=>(X3=apply(X1,X2)<=>X3=empty_set)))),inference(fof_simplification,[status(thm)],[2,theory(equality)])).
% fof(15, plain,![X2]:(relation_dom(identity_relation(X2))=X2&relation_rng(identity_relation(X2))=X2),inference(variable_rename,[status(thm)],[1])).
% cnf(17,plain,(relation_dom(identity_relation(X1))=X1),inference(split_conjunct,[status(thm)],[15])).
% fof(18, plain,![X1]:((~(relation(X1))|~(function(X1)))|![X2]:![X3]:((~(in(X2,relation_dom(X1)))|((~(X3=apply(X1,X2))|in(ordered_pair(X2,X3),X1))&(~(in(ordered_pair(X2,X3),X1))|X3=apply(X1,X2))))&(in(X2,relation_dom(X1))|((~(X3=apply(X1,X2))|X3=empty_set)&(~(X3=empty_set)|X3=apply(X1,X2)))))),inference(fof_nnf,[status(thm)],[12])).
% fof(19, plain,![X4]:((~(relation(X4))|~(function(X4)))|![X5]:![X6]:((~(in(X5,relation_dom(X4)))|((~(X6=apply(X4,X5))|in(ordered_pair(X5,X6),X4))&(~(in(ordered_pair(X5,X6),X4))|X6=apply(X4,X5))))&(in(X5,relation_dom(X4))|((~(X6=apply(X4,X5))|X6=empty_set)&(~(X6=empty_set)|X6=apply(X4,X5)))))),inference(variable_rename,[status(thm)],[18])).
% fof(20, plain,![X4]:![X5]:![X6]:(((~(in(X5,relation_dom(X4)))|((~(X6=apply(X4,X5))|in(ordered_pair(X5,X6),X4))&(~(in(ordered_pair(X5,X6),X4))|X6=apply(X4,X5))))&(in(X5,relation_dom(X4))|((~(X6=apply(X4,X5))|X6=empty_set)&(~(X6=empty_set)|X6=apply(X4,X5)))))|(~(relation(X4))|~(function(X4)))),inference(shift_quantors,[status(thm)],[19])).
% fof(21, plain,![X4]:![X5]:![X6]:(((((~(X6=apply(X4,X5))|in(ordered_pair(X5,X6),X4))|~(in(X5,relation_dom(X4))))|(~(relation(X4))|~(function(X4))))&(((~(in(ordered_pair(X5,X6),X4))|X6=apply(X4,X5))|~(in(X5,relation_dom(X4))))|(~(relation(X4))|~(function(X4)))))&((((~(X6=apply(X4,X5))|X6=empty_set)|in(X5,relation_dom(X4)))|(~(relation(X4))|~(function(X4))))&(((~(X6=empty_set)|X6=apply(X4,X5))|in(X5,relation_dom(X4)))|(~(relation(X4))|~(function(X4)))))),inference(distribute,[status(thm)],[20])).
% cnf(25,plain,(in(ordered_pair(X2,X3),X1)|~function(X1)|~relation(X1)|~in(X2,relation_dom(X1))|X3!=apply(X1,X2)),inference(split_conjunct,[status(thm)],[21])).
% fof(26, plain,![X1]:![X2]:(~(relation(X2))|((~(X2=identity_relation(X1))|![X3]:![X4]:((~(in(ordered_pair(X3,X4),X2))|(in(X3,X1)&X3=X4))&((~(in(X3,X1))|~(X3=X4))|in(ordered_pair(X3,X4),X2))))&(?[X3]:?[X4]:((~(in(ordered_pair(X3,X4),X2))|(~(in(X3,X1))|~(X3=X4)))&(in(ordered_pair(X3,X4),X2)|(in(X3,X1)&X3=X4)))|X2=identity_relation(X1)))),inference(fof_nnf,[status(thm)],[3])).
% fof(27, plain,![X5]:![X6]:(~(relation(X6))|((~(X6=identity_relation(X5))|![X7]:![X8]:((~(in(ordered_pair(X7,X8),X6))|(in(X7,X5)&X7=X8))&((~(in(X7,X5))|~(X7=X8))|in(ordered_pair(X7,X8),X6))))&(?[X9]:?[X10]:((~(in(ordered_pair(X9,X10),X6))|(~(in(X9,X5))|~(X9=X10)))&(in(ordered_pair(X9,X10),X6)|(in(X9,X5)&X9=X10)))|X6=identity_relation(X5)))),inference(variable_rename,[status(thm)],[26])).
% fof(28, plain,![X5]:![X6]:(~(relation(X6))|((~(X6=identity_relation(X5))|![X7]:![X8]:((~(in(ordered_pair(X7,X8),X6))|(in(X7,X5)&X7=X8))&((~(in(X7,X5))|~(X7=X8))|in(ordered_pair(X7,X8),X6))))&(((~(in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6))|(~(in(esk1_2(X5,X6),X5))|~(esk1_2(X5,X6)=esk2_2(X5,X6))))&(in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6)|(in(esk1_2(X5,X6),X5)&esk1_2(X5,X6)=esk2_2(X5,X6))))|X6=identity_relation(X5)))),inference(skolemize,[status(esa)],[27])).
% fof(29, plain,![X5]:![X6]:![X7]:![X8]:(((((~(in(ordered_pair(X7,X8),X6))|(in(X7,X5)&X7=X8))&((~(in(X7,X5))|~(X7=X8))|in(ordered_pair(X7,X8),X6)))|~(X6=identity_relation(X5)))&(((~(in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6))|(~(in(esk1_2(X5,X6),X5))|~(esk1_2(X5,X6)=esk2_2(X5,X6))))&(in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6)|(in(esk1_2(X5,X6),X5)&esk1_2(X5,X6)=esk2_2(X5,X6))))|X6=identity_relation(X5)))|~(relation(X6))),inference(shift_quantors,[status(thm)],[28])).
% fof(30, plain,![X5]:![X6]:![X7]:![X8]:((((((in(X7,X5)|~(in(ordered_pair(X7,X8),X6)))|~(X6=identity_relation(X5)))|~(relation(X6)))&(((X7=X8|~(in(ordered_pair(X7,X8),X6)))|~(X6=identity_relation(X5)))|~(relation(X6))))&((((~(in(X7,X5))|~(X7=X8))|in(ordered_pair(X7,X8),X6))|~(X6=identity_relation(X5)))|~(relation(X6))))&((((~(in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6))|(~(in(esk1_2(X5,X6),X5))|~(esk1_2(X5,X6)=esk2_2(X5,X6))))|X6=identity_relation(X5))|~(relation(X6)))&((((in(esk1_2(X5,X6),X5)|in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6))|X6=identity_relation(X5))|~(relation(X6)))&(((esk1_2(X5,X6)=esk2_2(X5,X6)|in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X6))|X6=identity_relation(X5))|~(relation(X6)))))),inference(distribute,[status(thm)],[29])).
% cnf(31,plain,(X1=identity_relation(X2)|in(ordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),X1)|esk1_2(X2,X1)=esk2_2(X2,X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[30])).
% cnf(32,plain,(X1=identity_relation(X2)|in(ordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),X1)|in(esk1_2(X2,X1),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[30])).
% cnf(33,plain,(X1=identity_relation(X2)|~relation(X1)|esk1_2(X2,X1)!=esk2_2(X2,X1)|~in(esk1_2(X2,X1),X2)|~in(ordered_pair(esk1_2(X2,X1),esk2_2(X2,X1)),X1)),inference(split_conjunct,[status(thm)],[30])).
% cnf(34,plain,(in(ordered_pair(X3,X4),X1)|~relation(X1)|X1!=identity_relation(X2)|X3!=X4|~in(X3,X2)),inference(split_conjunct,[status(thm)],[30])).
% fof(45, plain,![X1]:![X2]:![X3]:((~(relation(X3))|~(function(X3)))|((~(in(ordered_pair(X1,X2),X3))|(in(X1,relation_dom(X3))&X2=apply(X3,X1)))&((~(in(X1,relation_dom(X3)))|~(X2=apply(X3,X1)))|in(ordered_pair(X1,X2),X3)))),inference(fof_nnf,[status(thm)],[6])).
% fof(46, plain,![X4]:![X5]:![X6]:((~(relation(X6))|~(function(X6)))|((~(in(ordered_pair(X4,X5),X6))|(in(X4,relation_dom(X6))&X5=apply(X6,X4)))&((~(in(X4,relation_dom(X6)))|~(X5=apply(X6,X4)))|in(ordered_pair(X4,X5),X6)))),inference(variable_rename,[status(thm)],[45])).
% fof(47, plain,![X4]:![X5]:![X6]:((((in(X4,relation_dom(X6))|~(in(ordered_pair(X4,X5),X6)))|(~(relation(X6))|~(function(X6))))&((X5=apply(X6,X4)|~(in(ordered_pair(X4,X5),X6)))|(~(relation(X6))|~(function(X6)))))&(((~(in(X4,relation_dom(X6)))|~(X5=apply(X6,X4)))|in(ordered_pair(X4,X5),X6))|(~(relation(X6))|~(function(X6))))),inference(distribute,[status(thm)],[46])).
% cnf(49,plain,(X3=apply(X1,X2)|~function(X1)|~relation(X1)|~in(ordered_pair(X2,X3),X1)),inference(split_conjunct,[status(thm)],[47])).
% cnf(50,plain,(in(X2,relation_dom(X1))|~function(X1)|~relation(X1)|~in(ordered_pair(X2,X3),X1)),inference(split_conjunct,[status(thm)],[47])).
% fof(51, plain,![X2]:(relation(identity_relation(X2))&function(identity_relation(X2))),inference(variable_rename,[status(thm)],[7])).
% cnf(53,plain,(relation(identity_relation(X1))),inference(split_conjunct,[status(thm)],[51])).
% fof(59, negated_conjecture,?[X1]:?[X2]:((relation(X2)&function(X2))&((~(X2=identity_relation(X1))|(~(relation_dom(X2)=X1)|?[X3]:(in(X3,X1)&~(apply(X2,X3)=X3))))&(X2=identity_relation(X1)|(relation_dom(X2)=X1&![X3]:(~(in(X3,X1))|apply(X2,X3)=X3))))),inference(fof_nnf,[status(thm)],[11])).
% fof(60, negated_conjecture,?[X4]:?[X5]:((relation(X5)&function(X5))&((~(X5=identity_relation(X4))|(~(relation_dom(X5)=X4)|?[X6]:(in(X6,X4)&~(apply(X5,X6)=X6))))&(X5=identity_relation(X4)|(relation_dom(X5)=X4&![X7]:(~(in(X7,X4))|apply(X5,X7)=X7))))),inference(variable_rename,[status(thm)],[59])).
% fof(61, negated_conjecture,((relation(esk4_0)&function(esk4_0))&((~(esk4_0=identity_relation(esk3_0))|(~(relation_dom(esk4_0)=esk3_0)|(in(esk5_0,esk3_0)&~(apply(esk4_0,esk5_0)=esk5_0))))&(esk4_0=identity_relation(esk3_0)|(relation_dom(esk4_0)=esk3_0&![X7]:(~(in(X7,esk3_0))|apply(esk4_0,X7)=X7))))),inference(skolemize,[status(esa)],[60])).
% fof(62, negated_conjecture,![X7]:(((((~(in(X7,esk3_0))|apply(esk4_0,X7)=X7)&relation_dom(esk4_0)=esk3_0)|esk4_0=identity_relation(esk3_0))&(~(esk4_0=identity_relation(esk3_0))|(~(relation_dom(esk4_0)=esk3_0)|(in(esk5_0,esk3_0)&~(apply(esk4_0,esk5_0)=esk5_0)))))&(relation(esk4_0)&function(esk4_0))),inference(shift_quantors,[status(thm)],[61])).
% fof(63, negated_conjecture,![X7]:(((((~(in(X7,esk3_0))|apply(esk4_0,X7)=X7)|esk4_0=identity_relation(esk3_0))&(relation_dom(esk4_0)=esk3_0|esk4_0=identity_relation(esk3_0)))&(((in(esk5_0,esk3_0)|~(relation_dom(esk4_0)=esk3_0))|~(esk4_0=identity_relation(esk3_0)))&((~(apply(esk4_0,esk5_0)=esk5_0)|~(relation_dom(esk4_0)=esk3_0))|~(esk4_0=identity_relation(esk3_0)))))&(relation(esk4_0)&function(esk4_0))),inference(distribute,[status(thm)],[62])).
% cnf(64,negated_conjecture,(function(esk4_0)),inference(split_conjunct,[status(thm)],[63])).
% cnf(65,negated_conjecture,(relation(esk4_0)),inference(split_conjunct,[status(thm)],[63])).
% cnf(66,negated_conjecture,(esk4_0!=identity_relation(esk3_0)|relation_dom(esk4_0)!=esk3_0|apply(esk4_0,esk5_0)!=esk5_0),inference(split_conjunct,[status(thm)],[63])).
% cnf(67,negated_conjecture,(in(esk5_0,esk3_0)|esk4_0!=identity_relation(esk3_0)|relation_dom(esk4_0)!=esk3_0),inference(split_conjunct,[status(thm)],[63])).
% cnf(68,negated_conjecture,(esk4_0=identity_relation(esk3_0)|relation_dom(esk4_0)=esk3_0),inference(split_conjunct,[status(thm)],[63])).
% cnf(69,negated_conjecture,(esk4_0=identity_relation(esk3_0)|apply(esk4_0,X1)=X1|~in(X1,esk3_0)),inference(split_conjunct,[status(thm)],[63])).
% cnf(89,plain,(in(ordered_pair(X1,X1),X2)|identity_relation(X3)!=X2|~in(X1,X3)|~relation(X2)),inference(er,[status(thm)],[34,theory(equality)])).
% cnf(92,plain,(apply(X1,esk1_2(X2,X1))=esk2_2(X2,X1)|esk2_2(X2,X1)=esk1_2(X2,X1)|identity_relation(X2)=X1|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[49,31,theory(equality)])).
% cnf(93,plain,(in(esk1_2(X1,X2),relation_dom(X2))|esk2_2(X1,X2)=esk1_2(X1,X2)|identity_relation(X1)=X2|~function(X2)|~relation(X2)),inference(spm,[status(thm)],[50,31,theory(equality)])).
% cnf(94,plain,(in(ordered_pair(X1,apply(X2,X1)),X2)|~in(X1,relation_dom(X2))|~function(X2)|~relation(X2)),inference(er,[status(thm)],[25,theory(equality)])).
% cnf(121,plain,(in(ordered_pair(X1,X1),identity_relation(X2))|~in(X1,X2)|~relation(identity_relation(X2))),inference(er,[status(thm)],[89,theory(equality)])).
% cnf(122,plain,(in(ordered_pair(X1,X1),identity_relation(X2))|~in(X1,X2)|$false),inference(rw,[status(thm)],[121,53,theory(equality)])).
% cnf(123,plain,(in(ordered_pair(X1,X1),identity_relation(X2))|~in(X1,X2)),inference(cn,[status(thm)],[122,theory(equality)])).
% cnf(126,negated_conjecture,(in(ordered_pair(X1,apply(esk4_0,X1)),esk4_0)|identity_relation(esk3_0)=esk4_0|~in(X1,esk3_0)|~function(esk4_0)|~relation(esk4_0)),inference(spm,[status(thm)],[94,68,theory(equality)])).
% cnf(130,negated_conjecture,(in(ordered_pair(X1,apply(esk4_0,X1)),esk4_0)|identity_relation(esk3_0)=esk4_0|~in(X1,esk3_0)|$false|~relation(esk4_0)),inference(rw,[status(thm)],[126,64,theory(equality)])).
% cnf(131,negated_conjecture,(in(ordered_pair(X1,apply(esk4_0,X1)),esk4_0)|identity_relation(esk3_0)=esk4_0|~in(X1,esk3_0)|$false|$false),inference(rw,[status(thm)],[130,65,theory(equality)])).
% cnf(132,negated_conjecture,(in(ordered_pair(X1,apply(esk4_0,X1)),esk4_0)|identity_relation(esk3_0)=esk4_0|~in(X1,esk3_0)),inference(cn,[status(thm)],[131,theory(equality)])).
% cnf(168,negated_conjecture,(esk2_2(X1,esk4_0)=esk1_2(X1,esk4_0)|identity_relation(X1)=esk4_0|in(esk1_2(X1,esk4_0),esk3_0)|identity_relation(esk3_0)=esk4_0|~function(esk4_0)|~relation(esk4_0)),inference(spm,[status(thm)],[93,68,theory(equality)])).
% cnf(170,negated_conjecture,(esk2_2(X1,esk4_0)=esk1_2(X1,esk4_0)|identity_relation(X1)=esk4_0|in(esk1_2(X1,esk4_0),esk3_0)|identity_relation(esk3_0)=esk4_0|$false|~relation(esk4_0)),inference(rw,[status(thm)],[168,64,theory(equality)])).
% cnf(171,negated_conjecture,(esk2_2(X1,esk4_0)=esk1_2(X1,esk4_0)|identity_relation(X1)=esk4_0|in(esk1_2(X1,esk4_0),esk3_0)|identity_relation(esk3_0)=esk4_0|$false|$false),inference(rw,[status(thm)],[170,65,theory(equality)])).
% cnf(172,negated_conjecture,(esk2_2(X1,esk4_0)=esk1_2(X1,esk4_0)|identity_relation(X1)=esk4_0|in(esk1_2(X1,esk4_0),esk3_0)|identity_relation(esk3_0)=esk4_0),inference(cn,[status(thm)],[171,theory(equality)])).
% cnf(179,negated_conjecture,(apply(esk4_0,esk1_2(X1,esk4_0))=esk1_2(X1,esk4_0)|identity_relation(esk3_0)=esk4_0|esk2_2(X1,esk4_0)=esk1_2(X1,esk4_0)|identity_relation(X1)=esk4_0),inference(spm,[status(thm)],[69,172,theory(equality)])).
% cnf(256,negated_conjecture,(esk2_2(X1,esk4_0)=esk1_2(X1,esk4_0)|identity_relation(esk3_0)=esk4_0|identity_relation(X1)=esk4_0|~function(esk4_0)|~relation(esk4_0)),inference(spm,[status(thm)],[179,92,theory(equality)])).
% cnf(260,negated_conjecture,(esk2_2(X1,esk4_0)=esk1_2(X1,esk4_0)|identity_relation(esk3_0)=esk4_0|identity_relation(X1)=esk4_0|$false|~relation(esk4_0)),inference(rw,[status(thm)],[256,64,theory(equality)])).
% cnf(261,negated_conjecture,(esk2_2(X1,esk4_0)=esk1_2(X1,esk4_0)|identity_relation(esk3_0)=esk4_0|identity_relation(X1)=esk4_0|$false|$false),inference(rw,[status(thm)],[260,65,theory(equality)])).
% cnf(262,negated_conjecture,(esk2_2(X1,esk4_0)=esk1_2(X1,esk4_0)|identity_relation(esk3_0)=esk4_0|identity_relation(X1)=esk4_0),inference(cn,[status(thm)],[261,theory(equality)])).
% cnf(263,negated_conjecture,(identity_relation(X1)=esk4_0|in(ordered_pair(esk1_2(X1,esk4_0),esk1_2(X1,esk4_0)),esk4_0)|in(esk1_2(X1,esk4_0),X1)|identity_relation(esk3_0)=esk4_0|~relation(esk4_0)),inference(spm,[status(thm)],[32,262,theory(equality)])).
% cnf(266,negated_conjecture,(identity_relation(X1)=esk4_0|in(ordered_pair(esk1_2(X1,esk4_0),esk1_2(X1,esk4_0)),esk4_0)|in(esk1_2(X1,esk4_0),X1)|identity_relation(esk3_0)=esk4_0|$false),inference(rw,[status(thm)],[263,65,theory(equality)])).
% cnf(267,negated_conjecture,(identity_relation(X1)=esk4_0|in(ordered_pair(esk1_2(X1,esk4_0),esk1_2(X1,esk4_0)),esk4_0)|in(esk1_2(X1,esk4_0),X1)|identity_relation(esk3_0)=esk4_0),inference(cn,[status(thm)],[266,theory(equality)])).
% cnf(276,negated_conjecture,(in(esk1_2(X1,esk4_0),relation_dom(esk4_0))|identity_relation(esk3_0)=esk4_0|identity_relation(X1)=esk4_0|in(esk1_2(X1,esk4_0),X1)|~function(esk4_0)|~relation(esk4_0)),inference(spm,[status(thm)],[50,267,theory(equality)])).
% cnf(280,negated_conjecture,(in(esk1_2(X1,esk4_0),relation_dom(esk4_0))|identity_relation(esk3_0)=esk4_0|identity_relation(X1)=esk4_0|in(esk1_2(X1,esk4_0),X1)|$false|~relation(esk4_0)),inference(rw,[status(thm)],[276,64,theory(equality)])).
% cnf(281,negated_conjecture,(in(esk1_2(X1,esk4_0),relation_dom(esk4_0))|identity_relation(esk3_0)=esk4_0|identity_relation(X1)=esk4_0|in(esk1_2(X1,esk4_0),X1)|$false|$false),inference(rw,[status(thm)],[280,65,theory(equality)])).
% cnf(282,negated_conjecture,(in(esk1_2(X1,esk4_0),relation_dom(esk4_0))|identity_relation(esk3_0)=esk4_0|identity_relation(X1)=esk4_0|in(esk1_2(X1,esk4_0),X1)),inference(cn,[status(thm)],[281,theory(equality)])).
% cnf(283,negated_conjecture,(identity_relation(esk3_0)=esk4_0|identity_relation(relation_dom(esk4_0))=esk4_0|in(esk1_2(relation_dom(esk4_0),esk4_0),relation_dom(esk4_0))),inference(ef,[status(thm)],[282,theory(equality)])).
% cnf(301,negated_conjecture,(identity_relation(esk3_0)=esk4_0|in(esk1_2(esk3_0,esk4_0),esk3_0)),inference(spm,[status(thm)],[283,68,theory(equality)])).
% cnf(309,negated_conjecture,(apply(esk4_0,esk1_2(esk3_0,esk4_0))=esk1_2(esk3_0,esk4_0)|identity_relation(esk3_0)=esk4_0),inference(spm,[status(thm)],[69,301,theory(equality)])).
% cnf(310,negated_conjecture,(identity_relation(esk3_0)=esk4_0|in(ordered_pair(esk1_2(esk3_0,esk4_0),apply(esk4_0,esk1_2(esk3_0,esk4_0))),esk4_0)),inference(spm,[status(thm)],[132,301,theory(equality)])).
% cnf(314,negated_conjecture,(esk1_2(esk3_0,esk4_0)=esk2_2(esk3_0,esk4_0)|identity_relation(esk3_0)=esk4_0|~function(esk4_0)|~relation(esk4_0)),inference(spm,[status(thm)],[92,309,theory(equality)])).
% cnf(324,negated_conjecture,(esk1_2(esk3_0,esk4_0)=esk2_2(esk3_0,esk4_0)|identity_relation(esk3_0)=esk4_0|$false|~relation(esk4_0)),inference(rw,[status(thm)],[314,64,theory(equality)])).
% cnf(325,negated_conjecture,(esk1_2(esk3_0,esk4_0)=esk2_2(esk3_0,esk4_0)|identity_relation(esk3_0)=esk4_0|$false|$false),inference(rw,[status(thm)],[324,65,theory(equality)])).
% cnf(326,negated_conjecture,(esk1_2(esk3_0,esk4_0)=esk2_2(esk3_0,esk4_0)|identity_relation(esk3_0)=esk4_0),inference(cn,[status(thm)],[325,theory(equality)])).
% cnf(328,negated_conjecture,(identity_relation(esk3_0)=esk4_0|~in(ordered_pair(esk1_2(esk3_0,esk4_0),esk1_2(esk3_0,esk4_0)),esk4_0)|~in(esk1_2(esk3_0,esk4_0),esk3_0)|~relation(esk4_0)),inference(spm,[status(thm)],[33,326,theory(equality)])).
% cnf(332,negated_conjecture,(identity_relation(esk3_0)=esk4_0|~in(ordered_pair(esk1_2(esk3_0,esk4_0),esk1_2(esk3_0,esk4_0)),esk4_0)|~in(esk1_2(esk3_0,esk4_0),esk3_0)|$false),inference(rw,[status(thm)],[328,65,theory(equality)])).
% cnf(333,negated_conjecture,(identity_relation(esk3_0)=esk4_0|~in(ordered_pair(esk1_2(esk3_0,esk4_0),esk1_2(esk3_0,esk4_0)),esk4_0)|~in(esk1_2(esk3_0,esk4_0),esk3_0)),inference(cn,[status(thm)],[332,theory(equality)])).
% cnf(345,negated_conjecture,(identity_relation(esk3_0)=esk4_0|~in(ordered_pair(esk1_2(esk3_0,esk4_0),esk1_2(esk3_0,esk4_0)),esk4_0)),inference(csr,[status(thm)],[333,301])).
% cnf(415,negated_conjecture,(identity_relation(esk3_0)=esk4_0|in(ordered_pair(esk1_2(esk3_0,esk4_0),esk1_2(esk3_0,esk4_0)),esk4_0)),inference(spm,[status(thm)],[310,309,theory(equality)])).
% cnf(436,negated_conjecture,(identity_relation(esk3_0)=esk4_0),inference(csr,[status(thm)],[415,345])).
% cnf(439,negated_conjecture,(relation_dom(esk4_0)=esk3_0),inference(spm,[status(thm)],[17,436,theory(equality)])).
% cnf(480,negated_conjecture,(apply(esk4_0,esk5_0)!=esk5_0|$false|relation_dom(esk4_0)!=esk3_0),inference(rw,[status(thm)],[66,436,theory(equality)])).
% cnf(481,negated_conjecture,(apply(esk4_0,esk5_0)!=esk5_0|relation_dom(esk4_0)!=esk3_0),inference(cn,[status(thm)],[480,theory(equality)])).
% cnf(482,negated_conjecture,(in(esk5_0,esk3_0)|$false|relation_dom(esk4_0)!=esk3_0),inference(rw,[status(thm)],[67,436,theory(equality)])).
% cnf(483,negated_conjecture,(in(esk5_0,esk3_0)|relation_dom(esk4_0)!=esk3_0),inference(cn,[status(thm)],[482,theory(equality)])).
% cnf(494,negated_conjecture,(apply(esk4_0,esk5_0)!=esk5_0|$false),inference(rw,[status(thm)],[481,439,theory(equality)])).
% cnf(495,negated_conjecture,(apply(esk4_0,esk5_0)!=esk5_0),inference(cn,[status(thm)],[494,theory(equality)])).
% cnf(518,negated_conjecture,(in(esk5_0,esk3_0)|$false),inference(rw,[status(thm)],[483,439,theory(equality)])).
% cnf(519,negated_conjecture,(in(esk5_0,esk3_0)),inference(cn,[status(thm)],[518,theory(equality)])).
% cnf(521,negated_conjecture,(in(ordered_pair(esk5_0,esk5_0),identity_relation(esk3_0))),inference(spm,[status(thm)],[123,519,theory(equality)])).
% cnf(524,negated_conjecture,(in(ordered_pair(esk5_0,esk5_0),esk4_0)),inference(rw,[status(thm)],[521,436,theory(equality)])).
% cnf(532,negated_conjecture,(apply(esk4_0,esk5_0)=esk5_0|~function(esk4_0)|~relation(esk4_0)),inference(spm,[status(thm)],[49,524,theory(equality)])).
% cnf(534,negated_conjecture,(apply(esk4_0,esk5_0)=esk5_0|$false|~relation(esk4_0)),inference(rw,[status(thm)],[532,64,theory(equality)])).
% cnf(535,negated_conjecture,(apply(esk4_0,esk5_0)=esk5_0|$false|$false),inference(rw,[status(thm)],[534,65,theory(equality)])).
% cnf(536,negated_conjecture,(apply(esk4_0,esk5_0)=esk5_0),inference(cn,[status(thm)],[535,theory(equality)])).
% cnf(537,negated_conjecture,($false),inference(sr,[status(thm)],[536,495,theory(equality)])).
% cnf(538,negated_conjecture,($false),537,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 127
% # ...of these trivial                : 1
% # ...subsumed                        : 32
% # ...remaining for further processing: 94
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 8
% # Backward-rewritten                 : 29
% # Generated clauses                  : 217
% # ...of the previous two non-trivial : 208
% # Contextual simplify-reflections    : 15
% # Paramodulations                    : 205
% # Factorizations                     : 4
% # Equation resolutions               : 8
% # Current number of processed clauses: 56
% #    Positive orientable unit clauses: 11
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 2
% #    Non-unit-clauses                : 43
% # Current number of unprocessed clauses: 47
% # ...number of literals in the above : 184
% # Clause-clause subsumption calls (NU) : 191
% # Rec. Clause-clause subsumption calls : 148
% # Unit Clause-clause subsumption calls : 0
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 3
% # Indexed BW rewrite successes       : 3
% # Backwards rewriting index:    61 leaves,   1.54+/-1.110 terms/leaf
% # Paramod-from index:           21 leaves,   1.05+/-0.213 terms/leaf
% # Paramod-into index:           49 leaves,   1.24+/-0.554 terms/leaf
% # -------------------------------------------------
% # User time              : 0.024 s
% # System time            : 0.002 s
% # Total time             : 0.026 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.12 CPU 0.20 WC
% FINAL PrfWatch: 0.12 CPU 0.20 WC
% SZS output end Solution for /tmp/SystemOnTPTP29039/SEU216+3.tptp
% 
%------------------------------------------------------------------------------