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SRASS---0.1.THM-Sol.s

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%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU241+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 02:22:45 EST 2010

% Result   : Theorem 0.95s
% Output   : Solution 0.95s
% 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/SystemOnTPTP1906/SEU241+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP1906/SEU241+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP1906/SEU241+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 2017
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time     : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(relation(X1)=>![X2]:(is_antisymmetric_in(X1,X2)<=>![X3]:![X4]:((((in(X3,X2)&in(X4,X2))&in(ordered_pair(X3,X4),X1))&in(ordered_pair(X4,X3),X1))=>X3=X4))),file('/tmp/SRASS.s.p', d4_relat_2)).
% fof(3, axiom,![X1]:![X2]:![X3]:(relation(X3)=>(in(ordered_pair(X1,X2),X3)=>(in(X1,relation_field(X3))&in(X2,relation_field(X3))))),file('/tmp/SRASS.s.p', t30_relat_1)).
% fof(10, axiom,![X1]:(relation(X1)=>(antisymmetric(X1)<=>is_antisymmetric_in(X1,relation_field(X1)))),file('/tmp/SRASS.s.p', d12_relat_2)).
% fof(15, axiom,![X1]:![X2]:ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1)),file('/tmp/SRASS.s.p', d5_tarski)).
% fof(16, axiom,![X1]:![X2]:unordered_pair(X1,X2)=unordered_pair(X2,X1),file('/tmp/SRASS.s.p', commutativity_k2_tarski)).
% fof(37, conjecture,![X1]:(relation(X1)=>(antisymmetric(X1)<=>![X2]:![X3]:((in(ordered_pair(X2,X3),X1)&in(ordered_pair(X3,X2),X1))=>X2=X3))),file('/tmp/SRASS.s.p', l3_wellord1)).
% fof(38, negated_conjecture,~(![X1]:(relation(X1)=>(antisymmetric(X1)<=>![X2]:![X3]:((in(ordered_pair(X2,X3),X1)&in(ordered_pair(X3,X2),X1))=>X2=X3)))),inference(assume_negation,[status(cth)],[37])).
% fof(47, plain,![X1]:(~(relation(X1))|![X2]:((~(is_antisymmetric_in(X1,X2))|![X3]:![X4]:((((~(in(X3,X2))|~(in(X4,X2)))|~(in(ordered_pair(X3,X4),X1)))|~(in(ordered_pair(X4,X3),X1)))|X3=X4))&(?[X3]:?[X4]:((((in(X3,X2)&in(X4,X2))&in(ordered_pair(X3,X4),X1))&in(ordered_pair(X4,X3),X1))&~(X3=X4))|is_antisymmetric_in(X1,X2)))),inference(fof_nnf,[status(thm)],[2])).
% fof(48, plain,![X5]:(~(relation(X5))|![X6]:((~(is_antisymmetric_in(X5,X6))|![X7]:![X8]:((((~(in(X7,X6))|~(in(X8,X6)))|~(in(ordered_pair(X7,X8),X5)))|~(in(ordered_pair(X8,X7),X5)))|X7=X8))&(?[X9]:?[X10]:((((in(X9,X6)&in(X10,X6))&in(ordered_pair(X9,X10),X5))&in(ordered_pair(X10,X9),X5))&~(X9=X10))|is_antisymmetric_in(X5,X6)))),inference(variable_rename,[status(thm)],[47])).
% fof(49, plain,![X5]:(~(relation(X5))|![X6]:((~(is_antisymmetric_in(X5,X6))|![X7]:![X8]:((((~(in(X7,X6))|~(in(X8,X6)))|~(in(ordered_pair(X7,X8),X5)))|~(in(ordered_pair(X8,X7),X5)))|X7=X8))&(((((in(esk1_2(X5,X6),X6)&in(esk2_2(X5,X6),X6))&in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X5))&in(ordered_pair(esk2_2(X5,X6),esk1_2(X5,X6)),X5))&~(esk1_2(X5,X6)=esk2_2(X5,X6)))|is_antisymmetric_in(X5,X6)))),inference(skolemize,[status(esa)],[48])).
% fof(50, plain,![X5]:![X6]:![X7]:![X8]:(((((((~(in(X7,X6))|~(in(X8,X6)))|~(in(ordered_pair(X7,X8),X5)))|~(in(ordered_pair(X8,X7),X5)))|X7=X8)|~(is_antisymmetric_in(X5,X6)))&(((((in(esk1_2(X5,X6),X6)&in(esk2_2(X5,X6),X6))&in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X5))&in(ordered_pair(esk2_2(X5,X6),esk1_2(X5,X6)),X5))&~(esk1_2(X5,X6)=esk2_2(X5,X6)))|is_antisymmetric_in(X5,X6)))|~(relation(X5))),inference(shift_quantors,[status(thm)],[49])).
% fof(51, plain,![X5]:![X6]:![X7]:![X8]:(((((((~(in(X7,X6))|~(in(X8,X6)))|~(in(ordered_pair(X7,X8),X5)))|~(in(ordered_pair(X8,X7),X5)))|X7=X8)|~(is_antisymmetric_in(X5,X6)))|~(relation(X5)))&((((((in(esk1_2(X5,X6),X6)|is_antisymmetric_in(X5,X6))|~(relation(X5)))&((in(esk2_2(X5,X6),X6)|is_antisymmetric_in(X5,X6))|~(relation(X5))))&((in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X5)|is_antisymmetric_in(X5,X6))|~(relation(X5))))&((in(ordered_pair(esk2_2(X5,X6),esk1_2(X5,X6)),X5)|is_antisymmetric_in(X5,X6))|~(relation(X5))))&((~(esk1_2(X5,X6)=esk2_2(X5,X6))|is_antisymmetric_in(X5,X6))|~(relation(X5))))),inference(distribute,[status(thm)],[50])).
% cnf(52,plain,(is_antisymmetric_in(X1,X2)|~relation(X1)|esk1_2(X1,X2)!=esk2_2(X1,X2)),inference(split_conjunct,[status(thm)],[51])).
% cnf(53,plain,(is_antisymmetric_in(X1,X2)|in(ordered_pair(esk2_2(X1,X2),esk1_2(X1,X2)),X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[51])).
% cnf(54,plain,(is_antisymmetric_in(X1,X2)|in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[51])).
% cnf(57,plain,(X3=X4|~relation(X1)|~is_antisymmetric_in(X1,X2)|~in(ordered_pair(X4,X3),X1)|~in(ordered_pair(X3,X4),X1)|~in(X4,X2)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[51])).
% fof(58, plain,![X1]:![X2]:![X3]:(~(relation(X3))|(~(in(ordered_pair(X1,X2),X3))|(in(X1,relation_field(X3))&in(X2,relation_field(X3))))),inference(fof_nnf,[status(thm)],[3])).
% fof(59, plain,![X4]:![X5]:![X6]:(~(relation(X6))|(~(in(ordered_pair(X4,X5),X6))|(in(X4,relation_field(X6))&in(X5,relation_field(X6))))),inference(variable_rename,[status(thm)],[58])).
% fof(60, plain,![X4]:![X5]:![X6]:(((in(X4,relation_field(X6))|~(in(ordered_pair(X4,X5),X6)))|~(relation(X6)))&((in(X5,relation_field(X6))|~(in(ordered_pair(X4,X5),X6)))|~(relation(X6)))),inference(distribute,[status(thm)],[59])).
% cnf(61,plain,(in(X3,relation_field(X1))|~relation(X1)|~in(ordered_pair(X2,X3),X1)),inference(split_conjunct,[status(thm)],[60])).
% cnf(62,plain,(in(X2,relation_field(X1))|~relation(X1)|~in(ordered_pair(X2,X3),X1)),inference(split_conjunct,[status(thm)],[60])).
% fof(80, plain,![X1]:(~(relation(X1))|((~(antisymmetric(X1))|is_antisymmetric_in(X1,relation_field(X1)))&(~(is_antisymmetric_in(X1,relation_field(X1)))|antisymmetric(X1)))),inference(fof_nnf,[status(thm)],[10])).
% fof(81, plain,![X2]:(~(relation(X2))|((~(antisymmetric(X2))|is_antisymmetric_in(X2,relation_field(X2)))&(~(is_antisymmetric_in(X2,relation_field(X2)))|antisymmetric(X2)))),inference(variable_rename,[status(thm)],[80])).
% fof(82, plain,![X2]:(((~(antisymmetric(X2))|is_antisymmetric_in(X2,relation_field(X2)))|~(relation(X2)))&((~(is_antisymmetric_in(X2,relation_field(X2)))|antisymmetric(X2))|~(relation(X2)))),inference(distribute,[status(thm)],[81])).
% cnf(83,plain,(antisymmetric(X1)|~relation(X1)|~is_antisymmetric_in(X1,relation_field(X1))),inference(split_conjunct,[status(thm)],[82])).
% cnf(84,plain,(is_antisymmetric_in(X1,relation_field(X1))|~relation(X1)|~antisymmetric(X1)),inference(split_conjunct,[status(thm)],[82])).
% fof(96, plain,![X3]:![X4]:ordered_pair(X3,X4)=unordered_pair(unordered_pair(X3,X4),singleton(X3)),inference(variable_rename,[status(thm)],[15])).
% cnf(97,plain,(ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1))),inference(split_conjunct,[status(thm)],[96])).
% fof(98, plain,![X3]:![X4]:unordered_pair(X3,X4)=unordered_pair(X4,X3),inference(variable_rename,[status(thm)],[16])).
% cnf(99,plain,(unordered_pair(X1,X2)=unordered_pair(X2,X1)),inference(split_conjunct,[status(thm)],[98])).
% fof(146, negated_conjecture,?[X1]:(relation(X1)&((~(antisymmetric(X1))|?[X2]:?[X3]:((in(ordered_pair(X2,X3),X1)&in(ordered_pair(X3,X2),X1))&~(X2=X3)))&(antisymmetric(X1)|![X2]:![X3]:((~(in(ordered_pair(X2,X3),X1))|~(in(ordered_pair(X3,X2),X1)))|X2=X3)))),inference(fof_nnf,[status(thm)],[38])).
% fof(147, negated_conjecture,?[X4]:(relation(X4)&((~(antisymmetric(X4))|?[X5]:?[X6]:((in(ordered_pair(X5,X6),X4)&in(ordered_pair(X6,X5),X4))&~(X5=X6)))&(antisymmetric(X4)|![X7]:![X8]:((~(in(ordered_pair(X7,X8),X4))|~(in(ordered_pair(X8,X7),X4)))|X7=X8)))),inference(variable_rename,[status(thm)],[146])).
% fof(148, negated_conjecture,(relation(esk9_0)&((~(antisymmetric(esk9_0))|((in(ordered_pair(esk10_0,esk11_0),esk9_0)&in(ordered_pair(esk11_0,esk10_0),esk9_0))&~(esk10_0=esk11_0)))&(antisymmetric(esk9_0)|![X7]:![X8]:((~(in(ordered_pair(X7,X8),esk9_0))|~(in(ordered_pair(X8,X7),esk9_0)))|X7=X8)))),inference(skolemize,[status(esa)],[147])).
% fof(149, negated_conjecture,![X7]:![X8]:(((((~(in(ordered_pair(X7,X8),esk9_0))|~(in(ordered_pair(X8,X7),esk9_0)))|X7=X8)|antisymmetric(esk9_0))&(~(antisymmetric(esk9_0))|((in(ordered_pair(esk10_0,esk11_0),esk9_0)&in(ordered_pair(esk11_0,esk10_0),esk9_0))&~(esk10_0=esk11_0))))&relation(esk9_0)),inference(shift_quantors,[status(thm)],[148])).
% fof(150, negated_conjecture,![X7]:![X8]:(((((~(in(ordered_pair(X7,X8),esk9_0))|~(in(ordered_pair(X8,X7),esk9_0)))|X7=X8)|antisymmetric(esk9_0))&(((in(ordered_pair(esk10_0,esk11_0),esk9_0)|~(antisymmetric(esk9_0)))&(in(ordered_pair(esk11_0,esk10_0),esk9_0)|~(antisymmetric(esk9_0))))&(~(esk10_0=esk11_0)|~(antisymmetric(esk9_0)))))&relation(esk9_0)),inference(distribute,[status(thm)],[149])).
% cnf(151,negated_conjecture,(relation(esk9_0)),inference(split_conjunct,[status(thm)],[150])).
% cnf(152,negated_conjecture,(~antisymmetric(esk9_0)|esk10_0!=esk11_0),inference(split_conjunct,[status(thm)],[150])).
% cnf(153,negated_conjecture,(in(ordered_pair(esk11_0,esk10_0),esk9_0)|~antisymmetric(esk9_0)),inference(split_conjunct,[status(thm)],[150])).
% cnf(154,negated_conjecture,(in(ordered_pair(esk10_0,esk11_0),esk9_0)|~antisymmetric(esk9_0)),inference(split_conjunct,[status(thm)],[150])).
% cnf(155,negated_conjecture,(antisymmetric(esk9_0)|X1=X2|~in(ordered_pair(X2,X1),esk9_0)|~in(ordered_pair(X1,X2),esk9_0)),inference(split_conjunct,[status(thm)],[150])).
% cnf(156,negated_conjecture,(in(unordered_pair(unordered_pair(esk10_0,esk11_0),singleton(esk10_0)),esk9_0)|~antisymmetric(esk9_0)),inference(rw,[status(thm)],[154,97,theory(equality)]),['unfolding']).
% cnf(157,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk10_0),singleton(esk11_0)),esk9_0)|~antisymmetric(esk9_0)),inference(rw,[status(thm)],[153,97,theory(equality)]),['unfolding']).
% cnf(158,plain,(is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),singleton(esk1_2(X1,X2))),X1)|~relation(X1)),inference(rw,[status(thm)],[54,97,theory(equality)]),['unfolding']).
% cnf(159,plain,(is_antisymmetric_in(X1,X2)|in(unordered_pair(unordered_pair(esk2_2(X1,X2),esk1_2(X1,X2)),singleton(esk2_2(X1,X2))),X1)|~relation(X1)),inference(rw,[status(thm)],[53,97,theory(equality)]),['unfolding']).
% cnf(160,plain,(in(X3,relation_field(X1))|~relation(X1)|~in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1)),inference(rw,[status(thm)],[61,97,theory(equality)]),['unfolding']).
% cnf(161,plain,(in(X2,relation_field(X1))|~relation(X1)|~in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1)),inference(rw,[status(thm)],[62,97,theory(equality)]),['unfolding']).
% cnf(162,negated_conjecture,(X1=X2|antisymmetric(esk9_0)|~in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),esk9_0)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk9_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[155,97,theory(equality)]),97,theory(equality)]),['unfolding']).
% cnf(163,plain,(X3=X4|~relation(X1)|~in(X4,X2)|~in(X3,X2)|~is_antisymmetric_in(X1,X2)|~in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X1)|~in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[57,97,theory(equality)]),97,theory(equality)]),['unfolding']).
% cnf(195,negated_conjecture,(in(unordered_pair(unordered_pair(esk10_0,esk11_0),singleton(esk11_0)),esk9_0)|~antisymmetric(esk9_0)),inference(rw,[status(thm)],[157,99,theory(equality)])).
% cnf(202,negated_conjecture,(in(esk11_0,relation_field(esk9_0))|~relation(esk9_0)|~antisymmetric(esk9_0)),inference(spm,[status(thm)],[160,156,theory(equality)])).
% cnf(203,negated_conjecture,(in(esk11_0,relation_field(esk9_0))|$false|~antisymmetric(esk9_0)),inference(rw,[status(thm)],[202,151,theory(equality)])).
% cnf(204,negated_conjecture,(in(esk11_0,relation_field(esk9_0))|~antisymmetric(esk9_0)),inference(cn,[status(thm)],[203,theory(equality)])).
% cnf(211,negated_conjecture,(in(esk10_0,relation_field(esk9_0))|~relation(esk9_0)|~antisymmetric(esk9_0)),inference(spm,[status(thm)],[161,156,theory(equality)])).
% cnf(212,negated_conjecture,(in(esk10_0,relation_field(esk9_0))|$false|~antisymmetric(esk9_0)),inference(rw,[status(thm)],[211,151,theory(equality)])).
% cnf(213,negated_conjecture,(in(esk10_0,relation_field(esk9_0))|~antisymmetric(esk9_0)),inference(cn,[status(thm)],[212,theory(equality)])).
% cnf(220,negated_conjecture,(X1=X2|antisymmetric(esk9_0)|~in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),esk9_0)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk9_0)),inference(spm,[status(thm)],[162,99,theory(equality)])).
% cnf(228,negated_conjecture,(esk11_0=esk10_0|~is_antisymmetric_in(esk9_0,X1)|~relation(esk9_0)|~in(unordered_pair(unordered_pair(esk11_0,esk10_0),singleton(esk11_0)),esk9_0)|~in(esk10_0,X1)|~in(esk11_0,X1)|~antisymmetric(esk9_0)),inference(spm,[status(thm)],[163,156,theory(equality)])).
% cnf(229,negated_conjecture,(esk11_0=esk10_0|~is_antisymmetric_in(esk9_0,X1)|$false|~in(unordered_pair(unordered_pair(esk11_0,esk10_0),singleton(esk11_0)),esk9_0)|~in(esk10_0,X1)|~in(esk11_0,X1)|~antisymmetric(esk9_0)),inference(rw,[status(thm)],[228,151,theory(equality)])).
% cnf(230,negated_conjecture,(esk11_0=esk10_0|~is_antisymmetric_in(esk9_0,X1)|$false|~in(unordered_pair(unordered_pair(esk10_0,esk11_0),singleton(esk11_0)),esk9_0)|~in(esk10_0,X1)|~in(esk11_0,X1)|~antisymmetric(esk9_0)),inference(rw,[status(thm)],[229,99,theory(equality)])).
% cnf(231,negated_conjecture,(esk11_0=esk10_0|~is_antisymmetric_in(esk9_0,X1)|~in(unordered_pair(unordered_pair(esk10_0,esk11_0),singleton(esk11_0)),esk9_0)|~in(esk10_0,X1)|~in(esk11_0,X1)|~antisymmetric(esk9_0)),inference(cn,[status(thm)],[230,theory(equality)])).
% cnf(232,plain,(is_antisymmetric_in(X1,X2)|in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1)|~relation(X1)),inference(rw,[status(thm)],[158,99,theory(equality)])).
% cnf(235,plain,(is_antisymmetric_in(X1,X2)|in(unordered_pair(singleton(esk2_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1)|~relation(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[159,99,theory(equality)]),99,theory(equality)])).
% cnf(347,negated_conjecture,(esk2_2(esk9_0,X1)=esk1_2(esk9_0,X1)|antisymmetric(esk9_0)|is_antisymmetric_in(esk9_0,X1)|~in(unordered_pair(unordered_pair(esk2_2(esk9_0,X1),esk1_2(esk9_0,X1)),singleton(esk2_2(esk9_0,X1))),esk9_0)|~relation(esk9_0)),inference(spm,[status(thm)],[220,232,theory(equality)])).
% cnf(348,negated_conjecture,(esk2_2(esk9_0,X1)=esk1_2(esk9_0,X1)|antisymmetric(esk9_0)|is_antisymmetric_in(esk9_0,X1)|~in(unordered_pair(unordered_pair(esk2_2(esk9_0,X1),esk1_2(esk9_0,X1)),singleton(esk2_2(esk9_0,X1))),esk9_0)|$false),inference(rw,[status(thm)],[347,151,theory(equality)])).
% cnf(349,negated_conjecture,(esk2_2(esk9_0,X1)=esk1_2(esk9_0,X1)|antisymmetric(esk9_0)|is_antisymmetric_in(esk9_0,X1)|~in(unordered_pair(unordered_pair(esk2_2(esk9_0,X1),esk1_2(esk9_0,X1)),singleton(esk2_2(esk9_0,X1))),esk9_0)),inference(cn,[status(thm)],[348,theory(equality)])).
% cnf(379,negated_conjecture,(esk11_0=esk10_0|~antisymmetric(esk9_0)|~is_antisymmetric_in(esk9_0,X1)|~in(esk10_0,X1)|~in(esk11_0,X1)),inference(csr,[status(thm)],[231,195])).
% cnf(380,negated_conjecture,(~antisymmetric(esk9_0)|~is_antisymmetric_in(esk9_0,X1)|~in(esk10_0,X1)|~in(esk11_0,X1)),inference(csr,[status(thm)],[379,152])).
% cnf(445,negated_conjecture,(esk2_2(esk9_0,X1)=esk1_2(esk9_0,X1)|antisymmetric(esk9_0)|is_antisymmetric_in(esk9_0,X1)|~in(unordered_pair(singleton(esk2_2(esk9_0,X1)),unordered_pair(esk1_2(esk9_0,X1),esk2_2(esk9_0,X1))),esk9_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[349,99,theory(equality)]),99,theory(equality)])).
% cnf(446,negated_conjecture,(esk2_2(esk9_0,X1)=esk1_2(esk9_0,X1)|antisymmetric(esk9_0)|is_antisymmetric_in(esk9_0,X1)|~relation(esk9_0)),inference(spm,[status(thm)],[445,235,theory(equality)])).
% cnf(447,negated_conjecture,(esk2_2(esk9_0,X1)=esk1_2(esk9_0,X1)|antisymmetric(esk9_0)|is_antisymmetric_in(esk9_0,X1)|$false),inference(rw,[status(thm)],[446,151,theory(equality)])).
% cnf(448,negated_conjecture,(esk2_2(esk9_0,X1)=esk1_2(esk9_0,X1)|antisymmetric(esk9_0)|is_antisymmetric_in(esk9_0,X1)),inference(cn,[status(thm)],[447,theory(equality)])).
% cnf(450,negated_conjecture,(is_antisymmetric_in(esk9_0,X1)|antisymmetric(esk9_0)|~relation(esk9_0)),inference(spm,[status(thm)],[52,448,theory(equality)])).
% cnf(460,negated_conjecture,(is_antisymmetric_in(esk9_0,X1)|antisymmetric(esk9_0)|$false),inference(rw,[status(thm)],[450,151,theory(equality)])).
% cnf(461,negated_conjecture,(is_antisymmetric_in(esk9_0,X1)|antisymmetric(esk9_0)),inference(cn,[status(thm)],[460,theory(equality)])).
% cnf(476,negated_conjecture,(antisymmetric(esk9_0)|~relation(esk9_0)),inference(spm,[status(thm)],[83,461,theory(equality)])).
% cnf(480,negated_conjecture,(antisymmetric(esk9_0)|$false),inference(rw,[status(thm)],[476,151,theory(equality)])).
% cnf(481,negated_conjecture,(antisymmetric(esk9_0)),inference(cn,[status(thm)],[480,theory(equality)])).
% cnf(486,negated_conjecture,($false|~is_antisymmetric_in(esk9_0,X1)|~in(esk10_0,X1)|~in(esk11_0,X1)),inference(rw,[status(thm)],[380,481,theory(equality)])).
% cnf(487,negated_conjecture,(~is_antisymmetric_in(esk9_0,X1)|~in(esk10_0,X1)|~in(esk11_0,X1)),inference(cn,[status(thm)],[486,theory(equality)])).
% cnf(490,negated_conjecture,(in(esk10_0,relation_field(esk9_0))|$false),inference(rw,[status(thm)],[213,481,theory(equality)])).
% cnf(491,negated_conjecture,(in(esk10_0,relation_field(esk9_0))),inference(cn,[status(thm)],[490,theory(equality)])).
% cnf(492,negated_conjecture,(in(esk11_0,relation_field(esk9_0))|$false),inference(rw,[status(thm)],[204,481,theory(equality)])).
% cnf(493,negated_conjecture,(in(esk11_0,relation_field(esk9_0))),inference(cn,[status(thm)],[492,theory(equality)])).
% cnf(511,negated_conjecture,(~in(esk10_0,relation_field(esk9_0))|~in(esk11_0,relation_field(esk9_0))|~antisymmetric(esk9_0)|~relation(esk9_0)),inference(spm,[status(thm)],[487,84,theory(equality)])).
% cnf(514,negated_conjecture,(~in(esk10_0,relation_field(esk9_0))|~in(esk11_0,relation_field(esk9_0))|$false|~relation(esk9_0)),inference(rw,[status(thm)],[511,481,theory(equality)])).
% cnf(515,negated_conjecture,(~in(esk10_0,relation_field(esk9_0))|~in(esk11_0,relation_field(esk9_0))|$false|$false),inference(rw,[status(thm)],[514,151,theory(equality)])).
% cnf(516,negated_conjecture,(~in(esk10_0,relation_field(esk9_0))|~in(esk11_0,relation_field(esk9_0))),inference(cn,[status(thm)],[515,theory(equality)])).
% cnf(540,negated_conjecture,($false|~in(esk11_0,relation_field(esk9_0))),inference(rw,[status(thm)],[516,491,theory(equality)])).
% cnf(541,negated_conjecture,($false|$false),inference(rw,[status(thm)],[540,493,theory(equality)])).
% cnf(542,negated_conjecture,($false),inference(cn,[status(thm)],[541,theory(equality)])).
% cnf(543,negated_conjecture,($false),542,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 209
% # ...of these trivial                : 1
% # ...subsumed                        : 91
% # ...remaining for further processing: 117
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 3
% # Backward-rewritten                 : 22
% # Generated clauses                  : 248
% # ...of the previous two non-trivial : 236
% # Contextual simplify-reflections    : 8
% # Paramodulations                    : 248
% # Factorizations                     : 0
% # Equation resolutions               : 0
% # Current number of processed clauses: 91
% #    Positive orientable unit clauses: 19
% #    Positive unorientable unit clauses: 2
% #    Negative unit clauses           : 12
% #    Non-unit-clauses                : 58
% # Current number of unprocessed clauses: 55
% # ...number of literals in the above : 316
% # Clause-clause subsumption calls (NU) : 553
% # Rec. Clause-clause subsumption calls : 507
% # Unit Clause-clause subsumption calls : 8
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 5
% # Indexed BW rewrite successes       : 5
% # Backwards rewriting index:    89 leaves,   1.54+/-1.341 terms/leaf
% # Paramod-from index:           39 leaves,   1.15+/-0.426 terms/leaf
% # Paramod-into index:           84 leaves,   1.48+/-1.295 terms/leaf
% # -------------------------------------------------
% # User time              : 0.026 s
% # System time            : 0.004 s
% # Total time             : 0.030 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/SystemOnTPTP1906/SEU241+1.tptp
% 
%------------------------------------------------------------------------------