TSTP Solution File: SEU203+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU203+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 : 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 01:50:00 EST 2010
% Result : Theorem 1.50s
% Output : Solution 1.50s
% 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/SystemOnTPTP12650/SEU203+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP12650/SEU203+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP12650/SEU203+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 12782
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.03 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]:(relation(X1)=>![X2]:![X3]:(X3=relation_image(X1,X2)<=>![X4]:(in(X4,X3)<=>?[X5]:(in(ordered_pair(X5,X4),X1)&in(X5,X2))))),file('/tmp/SRASS.s.p', d13_relat_1)).
% fof(3, axiom,![X1]:(relation(X1)=>![X2]:(X2=relation_dom(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:in(ordered_pair(X3,X4),X1)))),file('/tmp/SRASS.s.p', d4_relat_1)).
% fof(19, axiom,![X1]:![X2]:unordered_pair(X1,X2)=unordered_pair(X2,X1),file('/tmp/SRASS.s.p', commutativity_k2_tarski)).
% fof(20, axiom,![X1]:![X2]:ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1)),file('/tmp/SRASS.s.p', d5_tarski)).
% fof(31, conjecture,![X1]:![X2]:![X3]:(relation(X3)=>(in(X1,relation_image(X3,X2))<=>?[X4]:((in(X4,relation_dom(X3))&in(ordered_pair(X4,X1),X3))&in(X4,X2)))),file('/tmp/SRASS.s.p', t143_relat_1)).
% fof(32, negated_conjecture,~(![X1]:![X2]:![X3]:(relation(X3)=>(in(X1,relation_image(X3,X2))<=>?[X4]:((in(X4,relation_dom(X3))&in(ordered_pair(X4,X1),X3))&in(X4,X2))))),inference(assume_negation,[status(cth)],[31])).
% fof(43, plain,![X1]:(~(relation(X1))|![X2]:![X3]:((~(X3=relation_image(X1,X2))|![X4]:((~(in(X4,X3))|?[X5]:(in(ordered_pair(X5,X4),X1)&in(X5,X2)))&(![X5]:(~(in(ordered_pair(X5,X4),X1))|~(in(X5,X2)))|in(X4,X3))))&(?[X4]:((~(in(X4,X3))|![X5]:(~(in(ordered_pair(X5,X4),X1))|~(in(X5,X2))))&(in(X4,X3)|?[X5]:(in(ordered_pair(X5,X4),X1)&in(X5,X2))))|X3=relation_image(X1,X2)))),inference(fof_nnf,[status(thm)],[2])).
% fof(44, plain,![X6]:(~(relation(X6))|![X7]:![X8]:((~(X8=relation_image(X6,X7))|![X9]:((~(in(X9,X8))|?[X10]:(in(ordered_pair(X10,X9),X6)&in(X10,X7)))&(![X11]:(~(in(ordered_pair(X11,X9),X6))|~(in(X11,X7)))|in(X9,X8))))&(?[X12]:((~(in(X12,X8))|![X13]:(~(in(ordered_pair(X13,X12),X6))|~(in(X13,X7))))&(in(X12,X8)|?[X14]:(in(ordered_pair(X14,X12),X6)&in(X14,X7))))|X8=relation_image(X6,X7)))),inference(variable_rename,[status(thm)],[43])).
% fof(45, plain,![X6]:(~(relation(X6))|![X7]:![X8]:((~(X8=relation_image(X6,X7))|![X9]:((~(in(X9,X8))|(in(ordered_pair(esk1_4(X6,X7,X8,X9),X9),X6)&in(esk1_4(X6,X7,X8,X9),X7)))&(![X11]:(~(in(ordered_pair(X11,X9),X6))|~(in(X11,X7)))|in(X9,X8))))&(((~(in(esk2_3(X6,X7,X8),X8))|![X13]:(~(in(ordered_pair(X13,esk2_3(X6,X7,X8)),X6))|~(in(X13,X7))))&(in(esk2_3(X6,X7,X8),X8)|(in(ordered_pair(esk3_3(X6,X7,X8),esk2_3(X6,X7,X8)),X6)&in(esk3_3(X6,X7,X8),X7))))|X8=relation_image(X6,X7)))),inference(skolemize,[status(esa)],[44])).
% fof(46, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:((((((~(in(ordered_pair(X13,esk2_3(X6,X7,X8)),X6))|~(in(X13,X7)))|~(in(esk2_3(X6,X7,X8),X8)))&(in(esk2_3(X6,X7,X8),X8)|(in(ordered_pair(esk3_3(X6,X7,X8),esk2_3(X6,X7,X8)),X6)&in(esk3_3(X6,X7,X8),X7))))|X8=relation_image(X6,X7))&((((~(in(ordered_pair(X11,X9),X6))|~(in(X11,X7)))|in(X9,X8))&(~(in(X9,X8))|(in(ordered_pair(esk1_4(X6,X7,X8,X9),X9),X6)&in(esk1_4(X6,X7,X8,X9),X7))))|~(X8=relation_image(X6,X7))))|~(relation(X6))),inference(shift_quantors,[status(thm)],[45])).
% fof(47, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:((((((~(in(ordered_pair(X13,esk2_3(X6,X7,X8)),X6))|~(in(X13,X7)))|~(in(esk2_3(X6,X7,X8),X8)))|X8=relation_image(X6,X7))|~(relation(X6)))&((((in(ordered_pair(esk3_3(X6,X7,X8),esk2_3(X6,X7,X8)),X6)|in(esk2_3(X6,X7,X8),X8))|X8=relation_image(X6,X7))|~(relation(X6)))&(((in(esk3_3(X6,X7,X8),X7)|in(esk2_3(X6,X7,X8),X8))|X8=relation_image(X6,X7))|~(relation(X6)))))&(((((~(in(ordered_pair(X11,X9),X6))|~(in(X11,X7)))|in(X9,X8))|~(X8=relation_image(X6,X7)))|~(relation(X6)))&((((in(ordered_pair(esk1_4(X6,X7,X8,X9),X9),X6)|~(in(X9,X8)))|~(X8=relation_image(X6,X7)))|~(relation(X6)))&(((in(esk1_4(X6,X7,X8,X9),X7)|~(in(X9,X8)))|~(X8=relation_image(X6,X7)))|~(relation(X6)))))),inference(distribute,[status(thm)],[46])).
% cnf(48,plain,(in(esk1_4(X1,X3,X2,X4),X3)|~relation(X1)|X2!=relation_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[47])).
% cnf(49,plain,(in(ordered_pair(esk1_4(X1,X3,X2,X4),X4),X1)|~relation(X1)|X2!=relation_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[47])).
% cnf(50,plain,(in(X4,X2)|~relation(X1)|X2!=relation_image(X1,X3)|~in(X5,X3)|~in(ordered_pair(X5,X4),X1)),inference(split_conjunct,[status(thm)],[47])).
% fof(54, plain,![X1]:(~(relation(X1))|![X2]:((~(X2=relation_dom(X1))|![X3]:((~(in(X3,X2))|?[X4]:in(ordered_pair(X3,X4),X1))&(![X4]:~(in(ordered_pair(X3,X4),X1))|in(X3,X2))))&(?[X3]:((~(in(X3,X2))|![X4]:~(in(ordered_pair(X3,X4),X1)))&(in(X3,X2)|?[X4]:in(ordered_pair(X3,X4),X1)))|X2=relation_dom(X1)))),inference(fof_nnf,[status(thm)],[3])).
% fof(55, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_dom(X5))|![X7]:((~(in(X7,X6))|?[X8]:in(ordered_pair(X7,X8),X5))&(![X9]:~(in(ordered_pair(X7,X9),X5))|in(X7,X6))))&(?[X10]:((~(in(X10,X6))|![X11]:~(in(ordered_pair(X10,X11),X5)))&(in(X10,X6)|?[X12]:in(ordered_pair(X10,X12),X5)))|X6=relation_dom(X5)))),inference(variable_rename,[status(thm)],[54])).
% fof(56, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_dom(X5))|![X7]:((~(in(X7,X6))|in(ordered_pair(X7,esk4_3(X5,X6,X7)),X5))&(![X9]:~(in(ordered_pair(X7,X9),X5))|in(X7,X6))))&(((~(in(esk5_2(X5,X6),X6))|![X11]:~(in(ordered_pair(esk5_2(X5,X6),X11),X5)))&(in(esk5_2(X5,X6),X6)|in(ordered_pair(esk5_2(X5,X6),esk6_2(X5,X6)),X5)))|X6=relation_dom(X5)))),inference(skolemize,[status(esa)],[55])).
% fof(57, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(esk5_2(X5,X6),X11),X5))|~(in(esk5_2(X5,X6),X6)))&(in(esk5_2(X5,X6),X6)|in(ordered_pair(esk5_2(X5,X6),esk6_2(X5,X6)),X5)))|X6=relation_dom(X5))&(((~(in(ordered_pair(X7,X9),X5))|in(X7,X6))&(~(in(X7,X6))|in(ordered_pair(X7,esk4_3(X5,X6,X7)),X5)))|~(X6=relation_dom(X5))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[56])).
% fof(58, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(esk5_2(X5,X6),X11),X5))|~(in(esk5_2(X5,X6),X6)))|X6=relation_dom(X5))|~(relation(X5)))&(((in(esk5_2(X5,X6),X6)|in(ordered_pair(esk5_2(X5,X6),esk6_2(X5,X6)),X5))|X6=relation_dom(X5))|~(relation(X5))))&((((~(in(ordered_pair(X7,X9),X5))|in(X7,X6))|~(X6=relation_dom(X5)))|~(relation(X5)))&(((~(in(X7,X6))|in(ordered_pair(X7,esk4_3(X5,X6,X7)),X5))|~(X6=relation_dom(X5)))|~(relation(X5))))),inference(distribute,[status(thm)],[57])).
% cnf(60,plain,(in(X3,X2)|~relation(X1)|X2!=relation_dom(X1)|~in(ordered_pair(X3,X4),X1)),inference(split_conjunct,[status(thm)],[58])).
% fof(108, plain,![X3]:![X4]:unordered_pair(X3,X4)=unordered_pair(X4,X3),inference(variable_rename,[status(thm)],[19])).
% cnf(109,plain,(unordered_pair(X1,X2)=unordered_pair(X2,X1)),inference(split_conjunct,[status(thm)],[108])).
% fof(110, plain,![X3]:![X4]:ordered_pair(X3,X4)=unordered_pair(unordered_pair(X3,X4),singleton(X3)),inference(variable_rename,[status(thm)],[20])).
% cnf(111,plain,(ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1))),inference(split_conjunct,[status(thm)],[110])).
% fof(126, negated_conjecture,?[X1]:?[X2]:?[X3]:(relation(X3)&((~(in(X1,relation_image(X3,X2)))|![X4]:((~(in(X4,relation_dom(X3)))|~(in(ordered_pair(X4,X1),X3)))|~(in(X4,X2))))&(in(X1,relation_image(X3,X2))|?[X4]:((in(X4,relation_dom(X3))&in(ordered_pair(X4,X1),X3))&in(X4,X2))))),inference(fof_nnf,[status(thm)],[32])).
% fof(127, negated_conjecture,?[X5]:?[X6]:?[X7]:(relation(X7)&((~(in(X5,relation_image(X7,X6)))|![X8]:((~(in(X8,relation_dom(X7)))|~(in(ordered_pair(X8,X5),X7)))|~(in(X8,X6))))&(in(X5,relation_image(X7,X6))|?[X9]:((in(X9,relation_dom(X7))&in(ordered_pair(X9,X5),X7))&in(X9,X6))))),inference(variable_rename,[status(thm)],[126])).
% fof(128, negated_conjecture,(relation(esk14_0)&((~(in(esk12_0,relation_image(esk14_0,esk13_0)))|![X8]:((~(in(X8,relation_dom(esk14_0)))|~(in(ordered_pair(X8,esk12_0),esk14_0)))|~(in(X8,esk13_0))))&(in(esk12_0,relation_image(esk14_0,esk13_0))|((in(esk15_0,relation_dom(esk14_0))&in(ordered_pair(esk15_0,esk12_0),esk14_0))&in(esk15_0,esk13_0))))),inference(skolemize,[status(esa)],[127])).
% fof(129, negated_conjecture,![X8]:(((((~(in(X8,relation_dom(esk14_0)))|~(in(ordered_pair(X8,esk12_0),esk14_0)))|~(in(X8,esk13_0)))|~(in(esk12_0,relation_image(esk14_0,esk13_0))))&(in(esk12_0,relation_image(esk14_0,esk13_0))|((in(esk15_0,relation_dom(esk14_0))&in(ordered_pair(esk15_0,esk12_0),esk14_0))&in(esk15_0,esk13_0))))&relation(esk14_0)),inference(shift_quantors,[status(thm)],[128])).
% fof(130, negated_conjecture,![X8]:(((((~(in(X8,relation_dom(esk14_0)))|~(in(ordered_pair(X8,esk12_0),esk14_0)))|~(in(X8,esk13_0)))|~(in(esk12_0,relation_image(esk14_0,esk13_0))))&(((in(esk15_0,relation_dom(esk14_0))|in(esk12_0,relation_image(esk14_0,esk13_0)))&(in(ordered_pair(esk15_0,esk12_0),esk14_0)|in(esk12_0,relation_image(esk14_0,esk13_0))))&(in(esk15_0,esk13_0)|in(esk12_0,relation_image(esk14_0,esk13_0)))))&relation(esk14_0)),inference(distribute,[status(thm)],[129])).
% cnf(131,negated_conjecture,(relation(esk14_0)),inference(split_conjunct,[status(thm)],[130])).
% cnf(132,negated_conjecture,(in(esk12_0,relation_image(esk14_0,esk13_0))|in(esk15_0,esk13_0)),inference(split_conjunct,[status(thm)],[130])).
% cnf(133,negated_conjecture,(in(esk12_0,relation_image(esk14_0,esk13_0))|in(ordered_pair(esk15_0,esk12_0),esk14_0)),inference(split_conjunct,[status(thm)],[130])).
% cnf(135,negated_conjecture,(~in(esk12_0,relation_image(esk14_0,esk13_0))|~in(X1,esk13_0)|~in(ordered_pair(X1,esk12_0),esk14_0)|~in(X1,relation_dom(esk14_0))),inference(split_conjunct,[status(thm)],[130])).
% cnf(136,negated_conjecture,(in(esk12_0,relation_image(esk14_0,esk13_0))|in(unordered_pair(unordered_pair(esk15_0,esk12_0),singleton(esk15_0)),esk14_0)),inference(rw,[status(thm)],[133,111,theory(equality)]),['unfolding']).
% cnf(139,plain,(in(X3,X2)|relation_dom(X1)!=X2|~relation(X1)|~in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)),inference(rw,[status(thm)],[60,111,theory(equality)]),['unfolding']).
% cnf(142,plain,(in(unordered_pair(unordered_pair(esk1_4(X1,X3,X2,X4),X4),singleton(esk1_4(X1,X3,X2,X4))),X1)|relation_image(X1,X3)!=X2|~relation(X1)|~in(X4,X2)),inference(rw,[status(thm)],[49,111,theory(equality)]),['unfolding']).
% cnf(143,plain,(in(X4,X2)|relation_image(X1,X3)!=X2|~relation(X1)|~in(X5,X3)|~in(unordered_pair(unordered_pair(X5,X4),singleton(X5)),X1)),inference(rw,[status(thm)],[50,111,theory(equality)]),['unfolding']).
% cnf(146,negated_conjecture,(~in(X1,esk13_0)|~in(X1,relation_dom(esk14_0))|~in(unordered_pair(unordered_pair(X1,esk12_0),singleton(X1)),esk14_0)|~in(esk12_0,relation_image(esk14_0,esk13_0))),inference(rw,[status(thm)],[135,111,theory(equality)]),['unfolding']).
% cnf(183,negated_conjecture,(in(esk15_0,esk13_0)|~in(unordered_pair(unordered_pair(X1,esk12_0),singleton(X1)),esk14_0)|~in(X1,relation_dom(esk14_0))|~in(X1,esk13_0)),inference(spm,[status(thm)],[146,132,theory(equality)])).
% cnf(188,negated_conjecture,(in(unordered_pair(unordered_pair(esk12_0,esk15_0),singleton(esk15_0)),esk14_0)|in(esk12_0,relation_image(esk14_0,esk13_0))),inference(rw,[status(thm)],[136,109,theory(equality)])).
% cnf(195,plain,(in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2)),inference(er,[status(thm)],[139,theory(equality)])).
% cnf(200,plain,(in(X1,relation_image(X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X2)|~in(X4,X3)),inference(er,[status(thm)],[143,theory(equality)])).
% cnf(205,plain,(in(esk1_4(X1,X2,relation_image(X1,X2),X3),X2)|~relation(X1)|~in(X3,relation_image(X1,X2))),inference(er,[status(thm)],[48,theory(equality)])).
% cnf(232,plain,(in(unordered_pair(unordered_pair(X4,esk1_4(X1,X3,X2,X4)),singleton(esk1_4(X1,X3,X2,X4))),X1)|relation_image(X1,X3)!=X2|~relation(X1)|~in(X4,X2)),inference(rw,[status(thm)],[142,109,theory(equality)])).
% cnf(233,plain,(in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,relation_image(X2,X3),X1)),singleton(esk1_4(X2,X3,relation_image(X2,X3),X1))),X2)|~relation(X2)|~in(X1,relation_image(X2,X3))),inference(er,[status(thm)],[232,theory(equality)])).
% cnf(524,plain,(in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),singleton(X1)),X2)),inference(spm,[status(thm)],[195,109,theory(equality)])).
% cnf(638,plain,(in(X1,relation_image(X2,X3))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X4),singleton(X4)),X2)|~in(X4,X3)),inference(spm,[status(thm)],[200,109,theory(equality)])).
% cnf(726,negated_conjecture,(in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),esk13_0)|in(esk15_0,esk13_0)|~relation(esk14_0)),inference(spm,[status(thm)],[205,132,theory(equality)])).
% cnf(732,negated_conjecture,(in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),esk13_0)|in(esk15_0,esk13_0)|$false),inference(rw,[status(thm)],[726,131,theory(equality)])).
% cnf(733,negated_conjecture,(in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),esk13_0)|in(esk15_0,esk13_0)),inference(cn,[status(thm)],[732,theory(equality)])).
% cnf(737,negated_conjecture,(in(esk15_0,esk13_0)|~in(unordered_pair(unordered_pair(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),esk12_0),singleton(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0))),esk14_0)|~in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),relation_dom(esk14_0))),inference(spm,[status(thm)],[183,733,theory(equality)])).
% cnf(760,negated_conjecture,(in(esk15_0,esk13_0)|~in(unordered_pair(unordered_pair(esk12_0,esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0)),singleton(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0))),esk14_0)|~in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),relation_dom(esk14_0))),inference(rw,[status(thm)],[737,109,theory(equality)])).
% cnf(1751,negated_conjecture,(in(unordered_pair(unordered_pair(esk12_0,esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0)),singleton(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0))),esk14_0)|in(esk15_0,esk13_0)|~relation(esk14_0)),inference(spm,[status(thm)],[233,132,theory(equality)])).
% cnf(1761,negated_conjecture,(in(unordered_pair(unordered_pair(esk12_0,esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0)),singleton(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0))),esk14_0)|in(esk15_0,esk13_0)|$false),inference(rw,[status(thm)],[1751,131,theory(equality)])).
% cnf(1762,negated_conjecture,(in(unordered_pair(unordered_pair(esk12_0,esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0)),singleton(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0))),esk14_0)|in(esk15_0,esk13_0)),inference(cn,[status(thm)],[1761,theory(equality)])).
% cnf(1766,negated_conjecture,(in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),relation_dom(esk14_0))|in(esk15_0,esk13_0)|~relation(esk14_0)),inference(spm,[status(thm)],[524,1762,theory(equality)])).
% cnf(1797,negated_conjecture,(in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),relation_dom(esk14_0))|in(esk15_0,esk13_0)|$false),inference(rw,[status(thm)],[1766,131,theory(equality)])).
% cnf(1798,negated_conjecture,(in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),relation_dom(esk14_0))|in(esk15_0,esk13_0)),inference(cn,[status(thm)],[1797,theory(equality)])).
% cnf(1811,negated_conjecture,(in(esk15_0,esk13_0)|~in(unordered_pair(unordered_pair(esk12_0,esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0)),singleton(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0))),esk14_0)),inference(spm,[status(thm)],[760,1798,theory(equality)])).
% cnf(1939,negated_conjecture,(in(esk15_0,esk13_0)),inference(csr,[status(thm)],[1811,1762])).
% cnf(7001,negated_conjecture,(in(esk12_0,relation_image(esk14_0,X1))|in(esk12_0,relation_image(esk14_0,esk13_0))|~relation(esk14_0)|~in(esk15_0,X1)),inference(spm,[status(thm)],[638,188,theory(equality)])).
% cnf(7002,negated_conjecture,(in(esk12_0,relation_image(esk14_0,X1))|in(esk12_0,relation_image(esk14_0,esk13_0))|$false|~in(esk15_0,X1)),inference(rw,[status(thm)],[7001,131,theory(equality)])).
% cnf(7003,negated_conjecture,(in(esk12_0,relation_image(esk14_0,X1))|in(esk12_0,relation_image(esk14_0,esk13_0))|~in(esk15_0,X1)),inference(cn,[status(thm)],[7002,theory(equality)])).
% cnf(7004,negated_conjecture,(in(esk12_0,relation_image(esk14_0,esk13_0))),inference(spm,[status(thm)],[7003,1939,theory(equality)])).
% cnf(7009,negated_conjecture,(in(unordered_pair(unordered_pair(esk12_0,esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0)),singleton(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0))),esk14_0)|~relation(esk14_0)),inference(spm,[status(thm)],[233,7004,theory(equality)])).
% cnf(7010,negated_conjecture,(in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),esk13_0)|~relation(esk14_0)),inference(spm,[status(thm)],[205,7004,theory(equality)])).
% cnf(7051,negated_conjecture,(~in(unordered_pair(unordered_pair(X1,esk12_0),singleton(X1)),esk14_0)|$false|~in(X1,relation_dom(esk14_0))|~in(X1,esk13_0)),inference(rw,[status(thm)],[146,7004,theory(equality)])).
% cnf(7052,negated_conjecture,(~in(unordered_pair(unordered_pair(X1,esk12_0),singleton(X1)),esk14_0)|~in(X1,relation_dom(esk14_0))|~in(X1,esk13_0)),inference(cn,[status(thm)],[7051,theory(equality)])).
% cnf(7056,negated_conjecture,(in(unordered_pair(unordered_pair(esk12_0,esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0)),singleton(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0))),esk14_0)|$false),inference(rw,[status(thm)],[7009,131,theory(equality)])).
% cnf(7057,negated_conjecture,(in(unordered_pair(unordered_pair(esk12_0,esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0)),singleton(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0))),esk14_0)),inference(cn,[status(thm)],[7056,theory(equality)])).
% cnf(7058,negated_conjecture,(in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),esk13_0)|$false),inference(rw,[status(thm)],[7010,131,theory(equality)])).
% cnf(7059,negated_conjecture,(in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),esk13_0)),inference(cn,[status(thm)],[7058,theory(equality)])).
% cnf(7202,negated_conjecture,(in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),relation_dom(esk14_0))|~relation(esk14_0)),inference(spm,[status(thm)],[524,7057,theory(equality)])).
% cnf(7263,negated_conjecture,(in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),relation_dom(esk14_0))|$false),inference(rw,[status(thm)],[7202,131,theory(equality)])).
% cnf(7264,negated_conjecture,(in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),relation_dom(esk14_0))),inference(cn,[status(thm)],[7263,theory(equality)])).
% cnf(8364,negated_conjecture,(~in(unordered_pair(unordered_pair(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),esk12_0),singleton(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0))),esk14_0)|~in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),relation_dom(esk14_0))),inference(spm,[status(thm)],[7052,7059,theory(equality)])).
% cnf(8370,negated_conjecture,($false|~in(esk1_4(esk14_0,esk13_0,relation_image(esk14_0,esk13_0),esk12_0),relation_dom(esk14_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[8364,109,theory(equality)]),7057,theory(equality)])).
% cnf(8371,negated_conjecture,($false|$false),inference(rw,[status(thm)],[8370,7264,theory(equality)])).
% cnf(8372,negated_conjecture,($false),inference(cn,[status(thm)],[8371,theory(equality)])).
% cnf(8373,negated_conjecture,($false),8372,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1728
% # ...of these trivial : 1
% # ...subsumed : 1354
% # ...remaining for further processing: 373
% # Other redundant clauses eliminated : 41
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 20
% # Backward-rewritten : 119
% # Generated clauses : 5237
% # ...of the previous two non-trivial : 5053
% # Contextual simplify-reflections : 1812
% # Paramodulations : 5121
% # Factorizations : 2
% # Equation resolutions : 52
% # Current number of processed clauses: 211
% # Positive orientable unit clauses: 42
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 35
% # Non-unit-clauses : 133
% # Current number of unprocessed clauses: 2445
% # ...number of literals in the above : 11744
% # Clause-clause subsumption calls (NU) : 28681
% # Rec. Clause-clause subsumption calls : 16203
% # Unit Clause-clause subsumption calls : 2028
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 36
% # Indexed BW rewrite successes : 35
% # Backwards rewriting index: 207 leaves, 1.51+/-1.815 terms/leaf
% # Paramod-from index: 71 leaves, 1.17+/-0.474 terms/leaf
% # Paramod-into index: 164 leaves, 1.32+/-0.895 terms/leaf
% # -------------------------------------------------
% # User time : 0.277 s
% # System time : 0.011 s
% # Total time : 0.288 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.47 CPU 0.54 WC
% FINAL PrfWatch: 0.47 CPU 0.54 WC
% SZS output end Solution for /tmp/SystemOnTPTP12650/SEU203+1.tptp
%
%------------------------------------------------------------------------------