%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU190+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 : art07.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 01:36:38 EST 2010
% Result : Theorem 2.23s
% Output : Solution 2.23s
% 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/SystemOnTPTP1621/SEU190+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP1621/SEU190+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP1621/SEU190+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 1717
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:relation(identity_relation(X1)),file('/tmp/SRASS.s.p', dt_k6_relat_1)).
% fof(7, axiom,![X1]:![X2]:unordered_pair(X1,X2)=unordered_pair(X2,X1),file('/tmp/SRASS.s.p', commutativity_k2_tarski)).
% fof(12, 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(13, 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(14, axiom,![X1]:(relation(X1)=>![X2]:(X2=relation_rng(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:in(ordered_pair(X4,X3),X1)))),file('/tmp/SRASS.s.p', d5_relat_1)).
% fof(25, axiom,![X1]:![X2]:ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1)),file('/tmp/SRASS.s.p', d5_tarski)).
% fof(36, conjecture,![X1]:(relation_dom(identity_relation(X1))=X1&relation_rng(identity_relation(X1))=X1),file('/tmp/SRASS.s.p', t71_relat_1)).
% fof(37, negated_conjecture,~(![X1]:(relation_dom(identity_relation(X1))=X1&relation_rng(identity_relation(X1))=X1)),inference(assume_negation,[status(cth)],[36])).
% fof(49, plain,![X2]:relation(identity_relation(X2)),inference(variable_rename,[status(thm)],[2])).
% cnf(50,plain,(relation(identity_relation(X1))),inference(split_conjunct,[status(thm)],[49])).
% fof(66, plain,![X3]:![X4]:unordered_pair(X3,X4)=unordered_pair(X4,X3),inference(variable_rename,[status(thm)],[7])).
% cnf(67,plain,(unordered_pair(X1,X2)=unordered_pair(X2,X1)),inference(split_conjunct,[status(thm)],[66])).
% fof(84, 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)],[12])).
% fof(85, 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)],[84])).
% fof(86, 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(esk4_2(X5,X6),esk5_2(X5,X6)),X6))|(~(in(esk4_2(X5,X6),X5))|~(esk4_2(X5,X6)=esk5_2(X5,X6))))&(in(ordered_pair(esk4_2(X5,X6),esk5_2(X5,X6)),X6)|(in(esk4_2(X5,X6),X5)&esk4_2(X5,X6)=esk5_2(X5,X6))))|X6=identity_relation(X5)))),inference(skolemize,[status(esa)],[85])).
% fof(87, 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(esk4_2(X5,X6),esk5_2(X5,X6)),X6))|(~(in(esk4_2(X5,X6),X5))|~(esk4_2(X5,X6)=esk5_2(X5,X6))))&(in(ordered_pair(esk4_2(X5,X6),esk5_2(X5,X6)),X6)|(in(esk4_2(X5,X6),X5)&esk4_2(X5,X6)=esk5_2(X5,X6))))|X6=identity_relation(X5)))|~(relation(X6))),inference(shift_quantors,[status(thm)],[86])).
% fof(88, 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(esk4_2(X5,X6),esk5_2(X5,X6)),X6))|(~(in(esk4_2(X5,X6),X5))|~(esk4_2(X5,X6)=esk5_2(X5,X6))))|X6=identity_relation(X5))|~(relation(X6)))&((((in(esk4_2(X5,X6),X5)|in(ordered_pair(esk4_2(X5,X6),esk5_2(X5,X6)),X6))|X6=identity_relation(X5))|~(relation(X6)))&(((esk4_2(X5,X6)=esk5_2(X5,X6)|in(ordered_pair(esk4_2(X5,X6),esk5_2(X5,X6)),X6))|X6=identity_relation(X5))|~(relation(X6)))))),inference(distribute,[status(thm)],[87])).
% cnf(92,plain,(in(ordered_pair(X3,X4),X1)|~relation(X1)|X1!=identity_relation(X2)|X3!=X4|~in(X3,X2)),inference(split_conjunct,[status(thm)],[88])).
% cnf(93,plain,(X3=X4|~relation(X1)|X1!=identity_relation(X2)|~in(ordered_pair(X3,X4),X1)),inference(split_conjunct,[status(thm)],[88])).
% cnf(94,plain,(in(X3,X2)|~relation(X1)|X1!=identity_relation(X2)|~in(ordered_pair(X3,X4),X1)),inference(split_conjunct,[status(thm)],[88])).
% fof(95, 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)],[13])).
% fof(96, 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)],[95])).
% fof(97, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_dom(X5))|![X7]:((~(in(X7,X6))|in(ordered_pair(X7,esk6_3(X5,X6,X7)),X5))&(![X9]:~(in(ordered_pair(X7,X9),X5))|in(X7,X6))))&(((~(in(esk7_2(X5,X6),X6))|![X11]:~(in(ordered_pair(esk7_2(X5,X6),X11),X5)))&(in(esk7_2(X5,X6),X6)|in(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X5)))|X6=relation_dom(X5)))),inference(skolemize,[status(esa)],[96])).
% fof(98, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(esk7_2(X5,X6),X11),X5))|~(in(esk7_2(X5,X6),X6)))&(in(esk7_2(X5,X6),X6)|in(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X5)))|X6=relation_dom(X5))&(((~(in(ordered_pair(X7,X9),X5))|in(X7,X6))&(~(in(X7,X6))|in(ordered_pair(X7,esk6_3(X5,X6,X7)),X5)))|~(X6=relation_dom(X5))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[97])).
% fof(99, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(esk7_2(X5,X6),X11),X5))|~(in(esk7_2(X5,X6),X6)))|X6=relation_dom(X5))|~(relation(X5)))&(((in(esk7_2(X5,X6),X6)|in(ordered_pair(esk7_2(X5,X6),esk8_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,esk6_3(X5,X6,X7)),X5))|~(X6=relation_dom(X5)))|~(relation(X5))))),inference(distribute,[status(thm)],[98])).
% cnf(102,plain,(X2=relation_dom(X1)|in(ordered_pair(esk7_2(X1,X2),esk8_2(X1,X2)),X1)|in(esk7_2(X1,X2),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[99])).
% cnf(103,plain,(X2=relation_dom(X1)|~relation(X1)|~in(esk7_2(X1,X2),X2)|~in(ordered_pair(esk7_2(X1,X2),X3),X1)),inference(split_conjunct,[status(thm)],[99])).
% fof(104, plain,![X1]:(~(relation(X1))|![X2]:((~(X2=relation_rng(X1))|![X3]:((~(in(X3,X2))|?[X4]:in(ordered_pair(X4,X3),X1))&(![X4]:~(in(ordered_pair(X4,X3),X1))|in(X3,X2))))&(?[X3]:((~(in(X3,X2))|![X4]:~(in(ordered_pair(X4,X3),X1)))&(in(X3,X2)|?[X4]:in(ordered_pair(X4,X3),X1)))|X2=relation_rng(X1)))),inference(fof_nnf,[status(thm)],[14])).
% fof(105, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|?[X8]:in(ordered_pair(X8,X7),X5))&(![X9]:~(in(ordered_pair(X9,X7),X5))|in(X7,X6))))&(?[X10]:((~(in(X10,X6))|![X11]:~(in(ordered_pair(X11,X10),X5)))&(in(X10,X6)|?[X12]:in(ordered_pair(X12,X10),X5)))|X6=relation_rng(X5)))),inference(variable_rename,[status(thm)],[104])).
% fof(106, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|in(ordered_pair(esk9_3(X5,X6,X7),X7),X5))&(![X9]:~(in(ordered_pair(X9,X7),X5))|in(X7,X6))))&(((~(in(esk10_2(X5,X6),X6))|![X11]:~(in(ordered_pair(X11,esk10_2(X5,X6)),X5)))&(in(esk10_2(X5,X6),X6)|in(ordered_pair(esk11_2(X5,X6),esk10_2(X5,X6)),X5)))|X6=relation_rng(X5)))),inference(skolemize,[status(esa)],[105])).
% fof(107, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk10_2(X5,X6)),X5))|~(in(esk10_2(X5,X6),X6)))&(in(esk10_2(X5,X6),X6)|in(ordered_pair(esk11_2(X5,X6),esk10_2(X5,X6)),X5)))|X6=relation_rng(X5))&(((~(in(ordered_pair(X9,X7),X5))|in(X7,X6))&(~(in(X7,X6))|in(ordered_pair(esk9_3(X5,X6,X7),X7),X5)))|~(X6=relation_rng(X5))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[106])).
% fof(108, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk10_2(X5,X6)),X5))|~(in(esk10_2(X5,X6),X6)))|X6=relation_rng(X5))|~(relation(X5)))&(((in(esk10_2(X5,X6),X6)|in(ordered_pair(esk11_2(X5,X6),esk10_2(X5,X6)),X5))|X6=relation_rng(X5))|~(relation(X5))))&((((~(in(ordered_pair(X9,X7),X5))|in(X7,X6))|~(X6=relation_rng(X5)))|~(relation(X5)))&(((~(in(X7,X6))|in(ordered_pair(esk9_3(X5,X6,X7),X7),X5))|~(X6=relation_rng(X5)))|~(relation(X5))))),inference(distribute,[status(thm)],[107])).
% cnf(111,plain,(X2=relation_rng(X1)|in(ordered_pair(esk11_2(X1,X2),esk10_2(X1,X2)),X1)|in(esk10_2(X1,X2),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[108])).
% cnf(112,plain,(X2=relation_rng(X1)|~relation(X1)|~in(esk10_2(X1,X2),X2)|~in(ordered_pair(X3,esk10_2(X1,X2)),X1)),inference(split_conjunct,[status(thm)],[108])).
% fof(140, plain,![X3]:![X4]:ordered_pair(X3,X4)=unordered_pair(unordered_pair(X3,X4),singleton(X3)),inference(variable_rename,[status(thm)],[25])).
% cnf(141,plain,(ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1))),inference(split_conjunct,[status(thm)],[140])).
% fof(157, negated_conjecture,?[X1]:(~(relation_dom(identity_relation(X1))=X1)|~(relation_rng(identity_relation(X1))=X1)),inference(fof_nnf,[status(thm)],[37])).
% fof(158, negated_conjecture,?[X2]:(~(relation_dom(identity_relation(X2))=X2)|~(relation_rng(identity_relation(X2))=X2)),inference(variable_rename,[status(thm)],[157])).
% fof(159, negated_conjecture,(~(relation_dom(identity_relation(esk15_0))=esk15_0)|~(relation_rng(identity_relation(esk15_0))=esk15_0)),inference(skolemize,[status(esa)],[158])).
% cnf(160,negated_conjecture,(relation_rng(identity_relation(esk15_0))!=esk15_0|relation_dom(identity_relation(esk15_0))!=esk15_0),inference(split_conjunct,[status(thm)],[159])).
% cnf(163,plain,(relation_dom(X1)=X2|in(esk7_2(X1,X2),X2)|in(unordered_pair(unordered_pair(esk7_2(X1,X2),esk8_2(X1,X2)),singleton(esk7_2(X1,X2))),X1)|~relation(X1)),inference(rw,[status(thm)],[102,141,theory(equality)]),['unfolding']).
% cnf(164,plain,(relation_rng(X1)=X2|in(esk10_2(X1,X2),X2)|in(unordered_pair(unordered_pair(esk11_2(X1,X2),esk10_2(X1,X2)),singleton(esk11_2(X1,X2))),X1)|~relation(X1)),inference(rw,[status(thm)],[111,141,theory(equality)]),['unfolding']).
% cnf(165,plain,(X3=X4|identity_relation(X2)!=X1|~relation(X1)|~in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)),inference(rw,[status(thm)],[93,141,theory(equality)]),['unfolding']).
% cnf(166,plain,(in(X3,X2)|identity_relation(X2)!=X1|~relation(X1)|~in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)),inference(rw,[status(thm)],[94,141,theory(equality)]),['unfolding']).
% cnf(171,plain,(relation_rng(X1)=X2|~relation(X1)|~in(esk10_2(X1,X2),X2)|~in(unordered_pair(unordered_pair(X3,esk10_2(X1,X2)),singleton(X3)),X1)),inference(rw,[status(thm)],[112,141,theory(equality)]),['unfolding']).
% cnf(172,plain,(relation_dom(X1)=X2|~relation(X1)|~in(esk7_2(X1,X2),X2)|~in(unordered_pair(unordered_pair(esk7_2(X1,X2),X3),singleton(esk7_2(X1,X2))),X1)),inference(rw,[status(thm)],[103,141,theory(equality)]),['unfolding']).
% cnf(173,plain,(in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)|X3!=X4|identity_relation(X2)!=X1|~relation(X1)|~in(X3,X2)),inference(rw,[status(thm)],[92,141,theory(equality)]),['unfolding']).
% cnf(221,plain,(relation_dom(X1)=X2|in(esk7_2(X1,X2),X2)|in(unordered_pair(singleton(esk7_2(X1,X2)),unordered_pair(esk7_2(X1,X2),esk8_2(X1,X2))),X1)|~relation(X1)),inference(rw,[status(thm)],[163,67,theory(equality)])).
% cnf(225,plain,(relation_dom(identity_relation(X1))=X2|in(unordered_pair(singleton(esk7_2(identity_relation(X1),X2)),unordered_pair(esk7_2(identity_relation(X1),X2),esk8_2(identity_relation(X1),X2))),identity_relation(X1))|in(esk7_2(identity_relation(X1),X2),X2)),inference(spm,[status(thm)],[221,50,theory(equality)])).
% cnf(226,plain,(relation_rng(X1)=X2|in(esk10_2(X1,X2),X2)|in(unordered_pair(singleton(esk11_2(X1,X2)),unordered_pair(esk10_2(X1,X2),esk11_2(X1,X2))),X1)|~relation(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[164,67,theory(equality)]),67,theory(equality)])).
% cnf(230,plain,(relation_rng(identity_relation(X1))=X2|in(unordered_pair(singleton(esk11_2(identity_relation(X1),X2)),unordered_pair(esk10_2(identity_relation(X1),X2),esk11_2(identity_relation(X1),X2))),identity_relation(X1))|in(esk10_2(identity_relation(X1),X2),X2)),inference(spm,[status(thm)],[226,50,theory(equality)])).
% cnf(232,plain,(X1=X2|identity_relation(X3)!=X4|~in(unordered_pair(unordered_pair(X2,X1),singleton(X1)),X4)|~relation(X4)),inference(spm,[status(thm)],[165,67,theory(equality)])).
% cnf(236,plain,(in(X1,X2)|identity_relation(X2)!=X3|~in(unordered_pair(unordered_pair(X4,X1),singleton(X1)),X3)|~relation(X3)),inference(spm,[status(thm)],[166,67,theory(equality)])).
% cnf(238,plain,(in(X1,X2)|identity_relation(X2)!=X3|~in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),X3)|~relation(X3)),inference(spm,[status(thm)],[166,67,theory(equality)])).
% cnf(250,plain,(relation_dom(X1)=X2|~in(unordered_pair(singleton(esk7_2(X1,X2)),unordered_pair(esk7_2(X1,X2),X3)),X1)|~in(esk7_2(X1,X2),X2)|~relation(X1)),inference(spm,[status(thm)],[172,67,theory(equality)])).
% cnf(252,plain,(relation_rng(X1)=X2|~relation(X1)|~in(esk10_2(X1,X2),X2)|~in(unordered_pair(singleton(X3),unordered_pair(X3,esk10_2(X1,X2))),X1)),inference(rw,[status(thm)],[171,67,theory(equality)])).
% cnf(256,plain,(in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),X2)|identity_relation(X3)!=X2|~in(X1,X3)|~relation(X2)),inference(er,[status(thm)],[173,theory(equality)])).
% cnf(323,plain,(X1=X2|identity_relation(X3)!=X4|~in(unordered_pair(singleton(X1),unordered_pair(X2,X1)),X4)|~relation(X4)),inference(spm,[status(thm)],[232,67,theory(equality)])).
% cnf(367,plain,(in(X1,X2)|identity_relation(X2)!=X3|~in(unordered_pair(singleton(X1),unordered_pair(X4,X1)),X3)|~relation(X3)),inference(spm,[status(thm)],[236,67,theory(equality)])).
% cnf(840,plain,(in(esk7_2(identity_relation(X1),X2),X3)|relation_dom(identity_relation(X1))=X2|in(esk7_2(identity_relation(X1),X2),X2)|identity_relation(X3)!=identity_relation(X1)|~relation(identity_relation(X1))),inference(spm,[status(thm)],[238,225,theory(equality)])).
% cnf(850,plain,(in(esk7_2(identity_relation(X1),X2),X3)|relation_dom(identity_relation(X1))=X2|in(esk7_2(identity_relation(X1),X2),X2)|identity_relation(X3)!=identity_relation(X1)|$false),inference(rw,[status(thm)],[840,50,theory(equality)])).
% cnf(851,plain,(in(esk7_2(identity_relation(X1),X2),X3)|relation_dom(identity_relation(X1))=X2|in(esk7_2(identity_relation(X1),X2),X2)|identity_relation(X3)!=identity_relation(X1)),inference(cn,[status(thm)],[850,theory(equality)])).
% cnf(869,plain,(esk11_2(identity_relation(X1),X2)=esk10_2(identity_relation(X1),X2)|relation_rng(identity_relation(X1))=X2|in(esk10_2(identity_relation(X1),X2),X2)|identity_relation(X3)!=identity_relation(X1)|~relation(identity_relation(X1))),inference(spm,[status(thm)],[323,230,theory(equality)])).
% cnf(870,plain,(in(esk11_2(identity_relation(X1),X2),X3)|relation_rng(identity_relation(X1))=X2|in(esk10_2(identity_relation(X1),X2),X2)|identity_relation(X3)!=identity_relation(X1)|~relation(identity_relation(X1))),inference(spm,[status(thm)],[367,230,theory(equality)])).
% cnf(879,plain,(esk11_2(identity_relation(X1),X2)=esk10_2(identity_relation(X1),X2)|relation_rng(identity_relation(X1))=X2|in(esk10_2(identity_relation(X1),X2),X2)|identity_relation(X3)!=identity_relation(X1)|$false),inference(rw,[status(thm)],[869,50,theory(equality)])).
% cnf(880,plain,(esk11_2(identity_relation(X1),X2)=esk10_2(identity_relation(X1),X2)|relation_rng(identity_relation(X1))=X2|in(esk10_2(identity_relation(X1),X2),X2)|identity_relation(X3)!=identity_relation(X1)),inference(cn,[status(thm)],[879,theory(equality)])).
% cnf(881,plain,(in(esk11_2(identity_relation(X1),X2),X3)|relation_rng(identity_relation(X1))=X2|in(esk10_2(identity_relation(X1),X2),X2)|identity_relation(X3)!=identity_relation(X1)|$false),inference(rw,[status(thm)],[870,50,theory(equality)])).
% cnf(882,plain,(in(esk11_2(identity_relation(X1),X2),X3)|relation_rng(identity_relation(X1))=X2|in(esk10_2(identity_relation(X1),X2),X2)|identity_relation(X3)!=identity_relation(X1)),inference(cn,[status(thm)],[881,theory(equality)])).
% cnf(1086,plain,(relation_dom(identity_relation(X1))=X2|in(esk7_2(identity_relation(X1),X2),X2)|in(esk7_2(identity_relation(X1),X2),X1)),inference(er,[status(thm)],[851,theory(equality)])).
% cnf(1264,plain,(relation_rng(identity_relation(X1))=X2|in(esk10_2(identity_relation(X1),X2),X2)|in(esk11_2(identity_relation(X1),X2),X1)),inference(er,[status(thm)],[882,theory(equality)])).
% cnf(1545,plain,(esk11_2(identity_relation(X1),X2)=esk10_2(identity_relation(X1),X2)|relation_rng(identity_relation(X1))=X2|in(esk10_2(identity_relation(X1),X2),X2)),inference(er,[status(thm)],[880,theory(equality)])).
% cnf(2298,plain,(relation_dom(identity_relation(X3))=X3|in(esk7_2(identity_relation(X3),X3),X3)),inference(ef,[status(thm)],[1086,theory(equality)])).
% cnf(2321,plain,(in(unordered_pair(unordered_pair(esk7_2(identity_relation(X1),X1),esk7_2(identity_relation(X1),X1)),singleton(esk7_2(identity_relation(X1),X1))),X2)|relation_dom(identity_relation(X1))=X1|identity_relation(X1)!=X2|~relation(X2)),inference(spm,[status(thm)],[256,2298,theory(equality)])).
% cnf(2429,plain,(relation_rng(identity_relation(X1))=X2|in(esk10_2(identity_relation(X1),X2),X1)|in(esk10_2(identity_relation(X1),X2),X2)),inference(spm,[status(thm)],[1264,1545,theory(equality)])).
% cnf(2648,plain,(in(unordered_pair(singleton(esk7_2(identity_relation(X1),X1)),unordered_pair(esk7_2(identity_relation(X1),X1),esk7_2(identity_relation(X1),X1))),X2)|relation_dom(identity_relation(X1))=X1|identity_relation(X1)!=X2|~relation(X2)),inference(rw,[status(thm)],[2321,67,theory(equality)])).
% cnf(2649,plain,(relation_dom(identity_relation(X1))=X1|in(unordered_pair(singleton(esk7_2(identity_relation(X1),X1)),unordered_pair(esk7_2(identity_relation(X1),X1),esk7_2(identity_relation(X1),X1))),identity_relation(X1))|~relation(identity_relation(X1))),inference(er,[status(thm)],[2648,theory(equality)])).
% cnf(2651,plain,(relation_dom(identity_relation(X1))=X1|in(unordered_pair(singleton(esk7_2(identity_relation(X1),X1)),unordered_pair(esk7_2(identity_relation(X1),X1),esk7_2(identity_relation(X1),X1))),identity_relation(X1))|$false),inference(rw,[status(thm)],[2649,50,theory(equality)])).
% cnf(2652,plain,(relation_dom(identity_relation(X1))=X1|in(unordered_pair(singleton(esk7_2(identity_relation(X1),X1)),unordered_pair(esk7_2(identity_relation(X1),X1),esk7_2(identity_relation(X1),X1))),identity_relation(X1))),inference(cn,[status(thm)],[2651,theory(equality)])).
% cnf(2936,plain,(relation_rng(identity_relation(X3))=X3|in(esk10_2(identity_relation(X3),X3),X3)),inference(ef,[status(thm)],[2429,theory(equality)])).
% cnf(2972,plain,(in(unordered_pair(unordered_pair(esk10_2(identity_relation(X1),X1),esk10_2(identity_relation(X1),X1)),singleton(esk10_2(identity_relation(X1),X1))),X2)|relation_rng(identity_relation(X1))=X1|identity_relation(X1)!=X2|~relation(X2)),inference(spm,[status(thm)],[256,2936,theory(equality)])).
% cnf(3200,plain,(in(unordered_pair(singleton(esk10_2(identity_relation(X1),X1)),unordered_pair(esk10_2(identity_relation(X1),X1),esk10_2(identity_relation(X1),X1))),X2)|relation_rng(identity_relation(X1))=X1|identity_relation(X1)!=X2|~relation(X2)),inference(rw,[status(thm)],[2972,67,theory(equality)])).
% cnf(3201,plain,(relation_rng(identity_relation(X1))=X1|in(unordered_pair(singleton(esk10_2(identity_relation(X1),X1)),unordered_pair(esk10_2(identity_relation(X1),X1),esk10_2(identity_relation(X1),X1))),identity_relation(X1))|~relation(identity_relation(X1))),inference(er,[status(thm)],[3200,theory(equality)])).
% cnf(3203,plain,(relation_rng(identity_relation(X1))=X1|in(unordered_pair(singleton(esk10_2(identity_relation(X1),X1)),unordered_pair(esk10_2(identity_relation(X1),X1),esk10_2(identity_relation(X1),X1))),identity_relation(X1))|$false),inference(rw,[status(thm)],[3201,50,theory(equality)])).
% cnf(3204,plain,(relation_rng(identity_relation(X1))=X1|in(unordered_pair(singleton(esk10_2(identity_relation(X1),X1)),unordered_pair(esk10_2(identity_relation(X1),X1),esk10_2(identity_relation(X1),X1))),identity_relation(X1))),inference(cn,[status(thm)],[3203,theory(equality)])).
% cnf(10755,plain,(relation_dom(identity_relation(X1))=X1|~in(esk7_2(identity_relation(X1),X1),X1)|~relation(identity_relation(X1))),inference(spm,[status(thm)],[250,2652,theory(equality)])).
% cnf(10772,plain,(relation_dom(identity_relation(X1))=X1|~in(esk7_2(identity_relation(X1),X1),X1)|$false),inference(rw,[status(thm)],[10755,50,theory(equality)])).
% cnf(10773,plain,(relation_dom(identity_relation(X1))=X1|~in(esk7_2(identity_relation(X1),X1),X1)),inference(cn,[status(thm)],[10772,theory(equality)])).
% cnf(10822,plain,(relation_dom(identity_relation(X1))=X1),inference(csr,[status(thm)],[10773,2298])).
% cnf(11981,negated_conjecture,($false|relation_rng(identity_relation(esk15_0))!=esk15_0),inference(rw,[status(thm)],[160,10822,theory(equality)])).
% cnf(11982,negated_conjecture,(relation_rng(identity_relation(esk15_0))!=esk15_0),inference(cn,[status(thm)],[11981,theory(equality)])).
% cnf(12451,plain,(relation_rng(identity_relation(X1))=X1|~in(esk10_2(identity_relation(X1),X1),X1)|~relation(identity_relation(X1))),inference(spm,[status(thm)],[252,3204,theory(equality)])).
% cnf(12470,plain,(relation_rng(identity_relation(X1))=X1|~in(esk10_2(identity_relation(X1),X1),X1)|$false),inference(rw,[status(thm)],[12451,50,theory(equality)])).
% cnf(12471,plain,(relation_rng(identity_relation(X1))=X1|~in(esk10_2(identity_relation(X1),X1),X1)),inference(cn,[status(thm)],[12470,theory(equality)])).
% cnf(12495,plain,(relation_rng(identity_relation(X1))=X1),inference(csr,[status(thm)],[12471,2936])).
% cnf(13149,negated_conjecture,($false),inference(rw,[status(thm)],[11982,12495,theory(equality)])).
% cnf(13150,negated_conjecture,($false),inference(cn,[status(thm)],[13149,theory(equality)])).
% cnf(13151,negated_conjecture,($false),13150,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4337
% # ...of these trivial : 2
% # ...subsumed : 2073
% # ...remaining for further processing: 2262
% # Other redundant clauses eliminated : 94
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 28
% # Backward-rewritten : 1460
% # Generated clauses : 6257
% # ...of the previous two non-trivial : 6876
% # Contextual simplify-reflections : 890
% # Paramodulations : 5450
% # Factorizations : 68
% # Equation resolutions : 739
% # Current number of processed clauses: 773
% # Positive orientable unit clauses: 12
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 4
% # Non-unit-clauses : 756
% # Current number of unprocessed clauses: 1484
% # ...number of literals in the above : 4655
% # Clause-clause subsumption calls (NU) : 55898
% # Rec. Clause-clause subsumption calls : 39121
% # Unit Clause-clause subsumption calls : 236
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 52
% # Indexed BW rewrite successes : 52
% # Backwards rewriting index: 498 leaves, 2.57+/-7.688 terms/leaf
% # Paramod-from index: 79 leaves, 2.13+/-3.160 terms/leaf
% # Paramod-into index: 281 leaves, 1.74+/-2.387 terms/leaf
% # -------------------------------------------------
% # User time : 1.124 s
% # System time : 0.024 s
% # Total time : 1.148 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.41 CPU 1.50 WC
% FINAL PrfWatch: 1.41 CPU 1.50 WC
% SZS output end Solution for /tmp/SystemOnTPTP1621/SEU190+1.tptp
%
%------------------------------------------------------------------------------