TSTP Solution File: SEU192+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU192+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 : art05.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 01:37:40 EST 2010

% Result   : Theorem 55.86s
% Output   : Solution 55.86s
% 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/SystemOnTPTP28758/SEU192+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP28758/SEU192+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP28758/SEU192+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 28854
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.94 CPU 2.02 WC
% PrfWatch: 3.92 CPU 4.03 WC
% PrfWatch: 5.92 CPU 6.03 WC
% PrfWatch: 7.91 CPU 8.04 WC
% PrfWatch: 9.90 CPU 10.04 WC
% PrfWatch: 11.89 CPU 12.05 WC
% PrfWatch: 13.59 CPU 14.06 WC
% PrfWatch: 15.20 CPU 16.08 WC
% PrfWatch: 17.16 CPU 18.08 WC
% PrfWatch: 19.15 CPU 20.09 WC
% PrfWatch: 21.13 CPU 22.09 WC
% PrfWatch: 23.12 CPU 24.10 WC
% PrfWatch: 25.11 CPU 26.10 WC
% PrfWatch: 27.09 CPU 28.11 WC
% PrfWatch: 29.09 CPU 30.11 WC
% PrfWatch: 31.07 CPU 32.12 WC
% PrfWatch: 33.04 CPU 34.12 WC
% PrfWatch: 35.03 CPU 36.12 WC
% PrfWatch: 37.02 CPU 38.13 WC
% # Preprocessing time     : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 39.01 CPU 40.13 WC
% PrfWatch: 41.00 CPU 42.14 WC
% PrfWatch: 43.00 CPU 44.14 WC
% PrfWatch: 44.99 CPU 46.15 WC
% PrfWatch: 46.98 CPU 48.15 WC
% PrfWatch: 48.98 CPU 50.16 WC
% PrfWatch: 50.97 CPU 52.16 WC
% PrfWatch: 52.97 CPU 54.17 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:(relation(X1)=>relation(relation_dom_restriction(X1,X2))),file('/tmp/SRASS.s.p', dt_k7_relat_1)).
% fof(9, axiom,![X1]:(relation(X1)=>![X2]:![X3]:(relation(X3)=>(X3=relation_dom_restriction(X1,X2)<=>![X4]:![X5]:(in(ordered_pair(X4,X5),X3)<=>(in(X4,X2)&in(ordered_pair(X4,X5),X1)))))),file('/tmp/SRASS.s.p', d11_relat_1)).
% fof(10, 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(20, axiom,![X1]:![X2]:unordered_pair(X1,X2)=unordered_pair(X2,X1),file('/tmp/SRASS.s.p', commutativity_k2_tarski)).
% fof(21, 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_dom(relation_dom_restriction(X3,X2)))<=>(in(X1,X2)&in(X1,relation_dom(X3))))),file('/tmp/SRASS.s.p', t86_relat_1)).
% fof(32, negated_conjecture,~(![X1]:![X2]:![X3]:(relation(X3)=>(in(X1,relation_dom(relation_dom_restriction(X3,X2)))<=>(in(X1,X2)&in(X1,relation_dom(X3)))))),inference(assume_negation,[status(cth)],[31])).
% fof(43, plain,![X1]:![X2]:(~(relation(X1))|relation(relation_dom_restriction(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(44, plain,![X3]:![X4]:(~(relation(X3))|relation(relation_dom_restriction(X3,X4))),inference(variable_rename,[status(thm)],[43])).
% cnf(45,plain,(relation(relation_dom_restriction(X1,X2))|~relation(X1)),inference(split_conjunct,[status(thm)],[44])).
% fof(68, plain,![X1]:(~(relation(X1))|![X2]:![X3]:(~(relation(X3))|((~(X3=relation_dom_restriction(X1,X2))|![X4]:![X5]:((~(in(ordered_pair(X4,X5),X3))|(in(X4,X2)&in(ordered_pair(X4,X5),X1)))&((~(in(X4,X2))|~(in(ordered_pair(X4,X5),X1)))|in(ordered_pair(X4,X5),X3))))&(?[X4]:?[X5]:((~(in(ordered_pair(X4,X5),X3))|(~(in(X4,X2))|~(in(ordered_pair(X4,X5),X1))))&(in(ordered_pair(X4,X5),X3)|(in(X4,X2)&in(ordered_pair(X4,X5),X1))))|X3=relation_dom_restriction(X1,X2))))),inference(fof_nnf,[status(thm)],[9])).
% fof(69, plain,![X6]:(~(relation(X6))|![X7]:![X8]:(~(relation(X8))|((~(X8=relation_dom_restriction(X6,X7))|![X9]:![X10]:((~(in(ordered_pair(X9,X10),X8))|(in(X9,X7)&in(ordered_pair(X9,X10),X6)))&((~(in(X9,X7))|~(in(ordered_pair(X9,X10),X6)))|in(ordered_pair(X9,X10),X8))))&(?[X11]:?[X12]:((~(in(ordered_pair(X11,X12),X8))|(~(in(X11,X7))|~(in(ordered_pair(X11,X12),X6))))&(in(ordered_pair(X11,X12),X8)|(in(X11,X7)&in(ordered_pair(X11,X12),X6))))|X8=relation_dom_restriction(X6,X7))))),inference(variable_rename,[status(thm)],[68])).
% fof(70, plain,![X6]:(~(relation(X6))|![X7]:![X8]:(~(relation(X8))|((~(X8=relation_dom_restriction(X6,X7))|![X9]:![X10]:((~(in(ordered_pair(X9,X10),X8))|(in(X9,X7)&in(ordered_pair(X9,X10),X6)))&((~(in(X9,X7))|~(in(ordered_pair(X9,X10),X6)))|in(ordered_pair(X9,X10),X8))))&(((~(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8))|(~(in(esk3_3(X6,X7,X8),X7))|~(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X6))))&(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8)|(in(esk3_3(X6,X7,X8),X7)&in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X6))))|X8=relation_dom_restriction(X6,X7))))),inference(skolemize,[status(esa)],[69])).
% fof(71, plain,![X6]:![X7]:![X8]:![X9]:![X10]:((((((~(in(ordered_pair(X9,X10),X8))|(in(X9,X7)&in(ordered_pair(X9,X10),X6)))&((~(in(X9,X7))|~(in(ordered_pair(X9,X10),X6)))|in(ordered_pair(X9,X10),X8)))|~(X8=relation_dom_restriction(X6,X7)))&(((~(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8))|(~(in(esk3_3(X6,X7,X8),X7))|~(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X6))))&(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8)|(in(esk3_3(X6,X7,X8),X7)&in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X6))))|X8=relation_dom_restriction(X6,X7)))|~(relation(X8)))|~(relation(X6))),inference(shift_quantors,[status(thm)],[70])).
% fof(72, plain,![X6]:![X7]:![X8]:![X9]:![X10]:(((((((in(X9,X7)|~(in(ordered_pair(X9,X10),X8)))|~(X8=relation_dom_restriction(X6,X7)))|~(relation(X8)))|~(relation(X6)))&((((in(ordered_pair(X9,X10),X6)|~(in(ordered_pair(X9,X10),X8)))|~(X8=relation_dom_restriction(X6,X7)))|~(relation(X8)))|~(relation(X6))))&(((((~(in(X9,X7))|~(in(ordered_pair(X9,X10),X6)))|in(ordered_pair(X9,X10),X8))|~(X8=relation_dom_restriction(X6,X7)))|~(relation(X8)))|~(relation(X6))))&(((((~(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8))|(~(in(esk3_3(X6,X7,X8),X7))|~(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X6))))|X8=relation_dom_restriction(X6,X7))|~(relation(X8)))|~(relation(X6)))&(((((in(esk3_3(X6,X7,X8),X7)|in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8))|X8=relation_dom_restriction(X6,X7))|~(relation(X8)))|~(relation(X6)))&((((in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X6)|in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8))|X8=relation_dom_restriction(X6,X7))|~(relation(X8)))|~(relation(X6)))))),inference(distribute,[status(thm)],[71])).
% cnf(76,plain,(in(ordered_pair(X4,X5),X2)|~relation(X1)|~relation(X2)|X2!=relation_dom_restriction(X1,X3)|~in(ordered_pair(X4,X5),X1)|~in(X4,X3)),inference(split_conjunct,[status(thm)],[72])).
% cnf(77,plain,(in(ordered_pair(X4,X5),X1)|~relation(X1)|~relation(X2)|X2!=relation_dom_restriction(X1,X3)|~in(ordered_pair(X4,X5),X2)),inference(split_conjunct,[status(thm)],[72])).
% cnf(78,plain,(in(X4,X3)|~relation(X1)|~relation(X2)|X2!=relation_dom_restriction(X1,X3)|~in(ordered_pair(X4,X5),X2)),inference(split_conjunct,[status(thm)],[72])).
% fof(79, 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)],[10])).
% fof(80, 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)],[79])).
% fof(81, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_dom(X5))|![X7]:((~(in(X7,X6))|in(ordered_pair(X7,esk5_3(X5,X6,X7)),X5))&(![X9]:~(in(ordered_pair(X7,X9),X5))|in(X7,X6))))&(((~(in(esk6_2(X5,X6),X6))|![X11]:~(in(ordered_pair(esk6_2(X5,X6),X11),X5)))&(in(esk6_2(X5,X6),X6)|in(ordered_pair(esk6_2(X5,X6),esk7_2(X5,X6)),X5)))|X6=relation_dom(X5)))),inference(skolemize,[status(esa)],[80])).
% fof(82, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(esk6_2(X5,X6),X11),X5))|~(in(esk6_2(X5,X6),X6)))&(in(esk6_2(X5,X6),X6)|in(ordered_pair(esk6_2(X5,X6),esk7_2(X5,X6)),X5)))|X6=relation_dom(X5))&(((~(in(ordered_pair(X7,X9),X5))|in(X7,X6))&(~(in(X7,X6))|in(ordered_pair(X7,esk5_3(X5,X6,X7)),X5)))|~(X6=relation_dom(X5))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[81])).
% fof(83, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(esk6_2(X5,X6),X11),X5))|~(in(esk6_2(X5,X6),X6)))|X6=relation_dom(X5))|~(relation(X5)))&(((in(esk6_2(X5,X6),X6)|in(ordered_pair(esk6_2(X5,X6),esk7_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,esk5_3(X5,X6,X7)),X5))|~(X6=relation_dom(X5)))|~(relation(X5))))),inference(distribute,[status(thm)],[82])).
% cnf(84,plain,(in(ordered_pair(X3,esk5_3(X1,X2,X3)),X1)|~relation(X1)|X2!=relation_dom(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[83])).
% cnf(85,plain,(in(X3,X2)|~relation(X1)|X2!=relation_dom(X1)|~in(ordered_pair(X3,X4),X1)),inference(split_conjunct,[status(thm)],[83])).
% fof(111, plain,![X3]:![X4]:unordered_pair(X3,X4)=unordered_pair(X4,X3),inference(variable_rename,[status(thm)],[20])).
% cnf(112,plain,(unordered_pair(X1,X2)=unordered_pair(X2,X1)),inference(split_conjunct,[status(thm)],[111])).
% fof(113, plain,![X3]:![X4]:ordered_pair(X3,X4)=unordered_pair(unordered_pair(X3,X4),singleton(X3)),inference(variable_rename,[status(thm)],[21])).
% cnf(114,plain,(ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1))),inference(split_conjunct,[status(thm)],[113])).
% fof(128, negated_conjecture,?[X1]:?[X2]:?[X3]:(relation(X3)&((~(in(X1,relation_dom(relation_dom_restriction(X3,X2))))|(~(in(X1,X2))|~(in(X1,relation_dom(X3)))))&(in(X1,relation_dom(relation_dom_restriction(X3,X2)))|(in(X1,X2)&in(X1,relation_dom(X3)))))),inference(fof_nnf,[status(thm)],[32])).
% fof(129, negated_conjecture,?[X4]:?[X5]:?[X6]:(relation(X6)&((~(in(X4,relation_dom(relation_dom_restriction(X6,X5))))|(~(in(X4,X5))|~(in(X4,relation_dom(X6)))))&(in(X4,relation_dom(relation_dom_restriction(X6,X5)))|(in(X4,X5)&in(X4,relation_dom(X6)))))),inference(variable_rename,[status(thm)],[128])).
% fof(130, negated_conjecture,(relation(esk13_0)&((~(in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0))))|(~(in(esk11_0,esk12_0))|~(in(esk11_0,relation_dom(esk13_0)))))&(in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0)))|(in(esk11_0,esk12_0)&in(esk11_0,relation_dom(esk13_0)))))),inference(skolemize,[status(esa)],[129])).
% fof(131, negated_conjecture,(relation(esk13_0)&((~(in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0))))|(~(in(esk11_0,esk12_0))|~(in(esk11_0,relation_dom(esk13_0)))))&((in(esk11_0,esk12_0)|in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0))))&(in(esk11_0,relation_dom(esk13_0))|in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0))))))),inference(distribute,[status(thm)],[130])).
% cnf(132,negated_conjecture,(in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0)))|in(esk11_0,relation_dom(esk13_0))),inference(split_conjunct,[status(thm)],[131])).
% cnf(133,negated_conjecture,(in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0)))|in(esk11_0,esk12_0)),inference(split_conjunct,[status(thm)],[131])).
% cnf(134,negated_conjecture,(~in(esk11_0,relation_dom(esk13_0))|~in(esk11_0,esk12_0)|~in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0)))),inference(split_conjunct,[status(thm)],[131])).
% cnf(135,negated_conjecture,(relation(esk13_0)),inference(split_conjunct,[status(thm)],[131])).
% 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)],[85,114,theory(equality)]),['unfolding']).
% cnf(140,plain,(in(unordered_pair(unordered_pair(X3,esk5_3(X1,X2,X3)),singleton(X3)),X1)|relation_dom(X1)!=X2|~relation(X1)|~in(X3,X2)),inference(rw,[status(thm)],[84,114,theory(equality)]),['unfolding']).
% cnf(142,plain,(in(X4,X3)|relation_dom_restriction(X1,X3)!=X2|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X2)),inference(rw,[status(thm)],[78,114,theory(equality)]),['unfolding']).
% cnf(143,plain,(in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X1)|relation_dom_restriction(X1,X3)!=X2|~relation(X2)|~relation(X1)|~in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[77,114,theory(equality)]),114,theory(equality)]),['unfolding']).
% cnf(144,plain,(in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X2)|relation_dom_restriction(X1,X3)!=X2|~relation(X2)|~relation(X1)|~in(X4,X3)|~in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[76,114,theory(equality)]),114,theory(equality)]),['unfolding']).
% cnf(197,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(202,plain,(in(X1,X2)|~relation(relation_dom_restriction(X3,X2))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_dom_restriction(X3,X2))),inference(er,[status(thm)],[142,theory(equality)])).
% cnf(209,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)|~relation(relation_dom_restriction(X3,X4))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_dom_restriction(X3,X4))),inference(er,[status(thm)],[143,theory(equality)])).
% cnf(214,plain,(in(unordered_pair(singleton(X3),unordered_pair(X3,esk5_3(X1,X2,X3))),X1)|relation_dom(X1)!=X2|~relation(X1)|~in(X3,X2)),inference(rw,[status(thm)],[140,112,theory(equality)])).
% cnf(215,plain,(in(unordered_pair(singleton(X1),unordered_pair(X1,esk5_3(X2,relation_dom(X2),X1))),X2)|~relation(X2)|~in(X1,relation_dom(X2))),inference(er,[status(thm)],[214,theory(equality)])).
% cnf(220,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_dom_restriction(X3,X4))|~relation(relation_dom_restriction(X3,X4))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)|~in(X1,X4)),inference(er,[status(thm)],[144,theory(equality)])).
% cnf(660,plain,(in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2)),inference(spm,[status(thm)],[197,112,theory(equality)])).
% cnf(748,plain,(in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_dom_restriction(X3,X2))),inference(csr,[status(thm)],[202,45])).
% cnf(763,plain,(in(X1,X2)|~relation(X3)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),relation_dom_restriction(X3,X2))),inference(spm,[status(thm)],[748,112,theory(equality)])).
% cnf(883,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_dom_restriction(X3,X4))),inference(csr,[status(thm)],[209,45])).
% cnf(898,plain,(in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)|~relation(X3)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),relation_dom_restriction(X3,X4))),inference(spm,[status(thm)],[883,112,theory(equality)])).
% cnf(942,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),relation_dom_restriction(esk13_0,esk12_0))|in(esk11_0,esk12_0)|~relation(relation_dom_restriction(esk13_0,esk12_0))),inference(spm,[status(thm)],[215,133,theory(equality)])).
% cnf(943,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),relation_dom_restriction(esk13_0,esk12_0))|in(esk11_0,relation_dom(esk13_0))|~relation(relation_dom_restriction(esk13_0,esk12_0))),inference(spm,[status(thm)],[215,132,theory(equality)])).
% cnf(953,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),relation_dom_restriction(esk13_0,esk12_0))|in(esk11_0,esk12_0)|~relation(esk13_0)),inference(spm,[status(thm)],[942,45,theory(equality)])).
% cnf(954,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),relation_dom_restriction(esk13_0,esk12_0))|in(esk11_0,esk12_0)|$false),inference(rw,[status(thm)],[953,135,theory(equality)])).
% cnf(955,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),relation_dom_restriction(esk13_0,esk12_0))|in(esk11_0,esk12_0)),inference(cn,[status(thm)],[954,theory(equality)])).
% cnf(960,negated_conjecture,(in(esk11_0,esk12_0)|~relation(esk13_0)),inference(spm,[status(thm)],[763,955,theory(equality)])).
% cnf(988,negated_conjecture,(in(esk11_0,esk12_0)|$false),inference(rw,[status(thm)],[960,135,theory(equality)])).
% cnf(989,negated_conjecture,(in(esk11_0,esk12_0)),inference(cn,[status(thm)],[988,theory(equality)])).
% cnf(998,negated_conjecture,(~in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0)))|~in(esk11_0,relation_dom(esk13_0))|$false),inference(rw,[status(thm)],[134,989,theory(equality)])).
% cnf(999,negated_conjecture,(~in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0)))|~in(esk11_0,relation_dom(esk13_0))),inference(cn,[status(thm)],[998,theory(equality)])).
% cnf(1044,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),relation_dom_restriction(esk13_0,esk12_0))|in(esk11_0,relation_dom(esk13_0))|~relation(esk13_0)),inference(spm,[status(thm)],[943,45,theory(equality)])).
% cnf(1045,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),relation_dom_restriction(esk13_0,esk12_0))|in(esk11_0,relation_dom(esk13_0))|$false),inference(rw,[status(thm)],[1044,135,theory(equality)])).
% cnf(1046,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),relation_dom_restriction(esk13_0,esk12_0))|in(esk11_0,relation_dom(esk13_0))),inference(cn,[status(thm)],[1045,theory(equality)])).
% cnf(1140,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_dom_restriction(X3,X4))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)|~in(X1,X4)),inference(csr,[status(thm)],[220,45])).
% cnf(1152,plain,(in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),relation_dom_restriction(X3,X4))|~relation(X3)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)|~in(X1,X4)),inference(spm,[status(thm)],[1140,112,theory(equality)])).
% cnf(11286,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),esk13_0)|in(esk11_0,relation_dom(esk13_0))|~relation(esk13_0)),inference(spm,[status(thm)],[898,1046,theory(equality)])).
% cnf(11289,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),esk13_0)|in(esk11_0,relation_dom(esk13_0))|$false),inference(rw,[status(thm)],[11286,135,theory(equality)])).
% cnf(11290,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(relation_dom_restriction(esk13_0,esk12_0),relation_dom(relation_dom_restriction(esk13_0,esk12_0)),esk11_0))),esk13_0)|in(esk11_0,relation_dom(esk13_0))),inference(cn,[status(thm)],[11289,theory(equality)])).
% cnf(11294,negated_conjecture,(in(esk11_0,relation_dom(esk13_0))|~relation(esk13_0)),inference(spm,[status(thm)],[660,11290,theory(equality)])).
% cnf(11371,negated_conjecture,(in(esk11_0,relation_dom(esk13_0))|$false),inference(rw,[status(thm)],[11294,135,theory(equality)])).
% cnf(11372,negated_conjecture,(in(esk11_0,relation_dom(esk13_0))),inference(cn,[status(thm)],[11371,theory(equality)])).
% cnf(11404,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(esk13_0,relation_dom(esk13_0),esk11_0))),esk13_0)|~relation(esk13_0)),inference(spm,[status(thm)],[215,11372,theory(equality)])).
% cnf(11430,negated_conjecture,(~in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0)))|$false),inference(rw,[status(thm)],[999,11372,theory(equality)])).
% cnf(11431,negated_conjecture,(~in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0)))),inference(cn,[status(thm)],[11430,theory(equality)])).
% cnf(11435,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(esk13_0,relation_dom(esk13_0),esk11_0))),esk13_0)|$false),inference(rw,[status(thm)],[11404,135,theory(equality)])).
% cnf(11436,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(esk13_0,relation_dom(esk13_0),esk11_0))),esk13_0)),inference(cn,[status(thm)],[11435,theory(equality)])).
% cnf(14717,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(esk13_0,relation_dom(esk13_0),esk11_0))),relation_dom_restriction(esk13_0,X1))|~relation(esk13_0)|~in(esk11_0,X1)),inference(spm,[status(thm)],[1152,11436,theory(equality)])).
% cnf(14733,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(esk13_0,relation_dom(esk13_0),esk11_0))),relation_dom_restriction(esk13_0,X1))|$false|~in(esk11_0,X1)),inference(rw,[status(thm)],[14717,135,theory(equality)])).
% cnf(14734,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(esk13_0,relation_dom(esk13_0),esk11_0))),relation_dom_restriction(esk13_0,X1))|~in(esk11_0,X1)),inference(cn,[status(thm)],[14733,theory(equality)])).
% cnf(1358261,negated_conjecture,(in(unordered_pair(singleton(esk11_0),unordered_pair(esk11_0,esk5_3(esk13_0,relation_dom(esk13_0),esk11_0))),relation_dom_restriction(esk13_0,esk12_0))),inference(spm,[status(thm)],[14734,989,theory(equality)])).
% cnf(1358268,negated_conjecture,(in(esk11_0,relation_dom(relation_dom_restriction(esk13_0,esk12_0)))|~relation(relation_dom_restriction(esk13_0,esk12_0))),inference(spm,[status(thm)],[660,1358261,theory(equality)])).
% cnf(1358422,negated_conjecture,(~relation(relation_dom_restriction(esk13_0,esk12_0))),inference(sr,[status(thm)],[1358268,11431,theory(equality)])).
% cnf(1358473,negated_conjecture,(~relation(esk13_0)),inference(spm,[status(thm)],[1358422,45,theory(equality)])).
% cnf(1358494,negated_conjecture,($false),inference(rw,[status(thm)],[1358473,135,theory(equality)])).
% cnf(1358495,negated_conjecture,($false),inference(cn,[status(thm)],[1358494,theory(equality)])).
% cnf(1358496,negated_conjecture,($false),1358495,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 50514
% # ...of these trivial                : 2
% # ...subsumed                        : 48119
% # ...remaining for further processing: 2393
% # Other redundant clauses eliminated : 585
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 98
% # Backward-rewritten                 : 353
% # Generated clauses                  : 1067007
% # ...of the previous two non-trivial : 983189
% # Contextual simplify-reflections    : 54220
% # Paramodulations                    : 1065886
% # Factorizations                     : 24
% # Equation resolutions               : 607
% # Current number of processed clauses: 1772
% #    Positive orientable unit clauses: 193
% #    Positive unorientable unit clauses: 1
% #    Negative unit clauses           : 156
% #    Non-unit-clauses                : 1422
% # Current number of unprocessed clauses: 868983
% # ...number of literals in the above : 4429489
% # Clause-clause subsumption calls (NU) : 1726931
% # Rec. Clause-clause subsumption calls : 1362193
% # Unit Clause-clause subsumption calls : 97271
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 185
% # Indexed BW rewrite successes       : 185
% # Backwards rewriting index:   685 leaves,   3.33+/-10.357 terms/leaf
% # Paramod-from index:          267 leaves,   2.97+/-7.891 terms/leaf
% # Paramod-into index:          565 leaves,   2.95+/-9.118 terms/leaf
% # -------------------------------------------------
% # User time              : 36.113 s
% # System time            : 1.028 s
% # Total time             : 37.140 s
% # Maximum resident set size: 0 pages
% PrfWatch: 54.90 CPU 56.11 WC
% FINAL PrfWatch: 54.90 CPU 56.11 WC
% SZS output end Solution for /tmp/SystemOnTPTP28758/SEU192+1.tptp
% 
%------------------------------------------------------------------------------