TSTP Solution File: SEU197+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU197+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 01:40:29 EST 2010
% Result : Theorem 60.24s
% Output : Solution 60.24s
% 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/SystemOnTPTP3926/SEU197+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP3926/SEU197+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP3926/SEU197+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 4022
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% PrfWatch: 3.90 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
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% PrfWatch: 36.97 CPU 38.09 WC
% PrfWatch: 38.97 CPU 40.10 WC
% # Preprocessing time : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 40.96 CPU 42.10 WC
% PrfWatch: 42.95 CPU 44.11 WC
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% PrfWatch: 54.91 CPU 56.14 WC
% PrfWatch: 56.91 CPU 58.14 WC
% PrfWatch: 58.90 CPU 60.15 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:(relation(X2)=>relation(relation_rng_restriction(X1,X2))),file('/tmp/SRASS.s.p', dt_k8_relat_1)).
% fof(9, axiom,![X1]:![X2]:(relation(X2)=>![X3]:(relation(X3)=>(X3=relation_rng_restriction(X1,X2)<=>![X4]:![X5]:(in(ordered_pair(X4,X5),X3)<=>(in(X5,X1)&in(ordered_pair(X4,X5),X2)))))),file('/tmp/SRASS.s.p', d12_relat_1)).
% fof(10, 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(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_rng(relation_rng_restriction(X2,X3)))<=>(in(X1,X2)&in(X1,relation_rng(X3))))),file('/tmp/SRASS.s.p', t115_relat_1)).
% fof(32, negated_conjecture,~(![X1]:![X2]:![X3]:(relation(X3)=>(in(X1,relation_rng(relation_rng_restriction(X2,X3)))<=>(in(X1,X2)&in(X1,relation_rng(X3)))))),inference(assume_negation,[status(cth)],[31])).
% fof(43, plain,![X1]:![X2]:(~(relation(X2))|relation(relation_rng_restriction(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(44, plain,![X3]:![X4]:(~(relation(X4))|relation(relation_rng_restriction(X3,X4))),inference(variable_rename,[status(thm)],[43])).
% cnf(45,plain,(relation(relation_rng_restriction(X1,X2))|~relation(X2)),inference(split_conjunct,[status(thm)],[44])).
% fof(68, plain,![X1]:![X2]:(~(relation(X2))|![X3]:(~(relation(X3))|((~(X3=relation_rng_restriction(X1,X2))|![X4]:![X5]:((~(in(ordered_pair(X4,X5),X3))|(in(X5,X1)&in(ordered_pair(X4,X5),X2)))&((~(in(X5,X1))|~(in(ordered_pair(X4,X5),X2)))|in(ordered_pair(X4,X5),X3))))&(?[X4]:?[X5]:((~(in(ordered_pair(X4,X5),X3))|(~(in(X5,X1))|~(in(ordered_pair(X4,X5),X2))))&(in(ordered_pair(X4,X5),X3)|(in(X5,X1)&in(ordered_pair(X4,X5),X2))))|X3=relation_rng_restriction(X1,X2))))),inference(fof_nnf,[status(thm)],[9])).
% fof(69, plain,![X6]:![X7]:(~(relation(X7))|![X8]:(~(relation(X8))|((~(X8=relation_rng_restriction(X6,X7))|![X9]:![X10]:((~(in(ordered_pair(X9,X10),X8))|(in(X10,X6)&in(ordered_pair(X9,X10),X7)))&((~(in(X10,X6))|~(in(ordered_pair(X9,X10),X7)))|in(ordered_pair(X9,X10),X8))))&(?[X11]:?[X12]:((~(in(ordered_pair(X11,X12),X8))|(~(in(X12,X6))|~(in(ordered_pair(X11,X12),X7))))&(in(ordered_pair(X11,X12),X8)|(in(X12,X6)&in(ordered_pair(X11,X12),X7))))|X8=relation_rng_restriction(X6,X7))))),inference(variable_rename,[status(thm)],[68])).
% fof(70, plain,![X6]:![X7]:(~(relation(X7))|![X8]:(~(relation(X8))|((~(X8=relation_rng_restriction(X6,X7))|![X9]:![X10]:((~(in(ordered_pair(X9,X10),X8))|(in(X10,X6)&in(ordered_pair(X9,X10),X7)))&((~(in(X10,X6))|~(in(ordered_pair(X9,X10),X7)))|in(ordered_pair(X9,X10),X8))))&(((~(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8))|(~(in(esk4_3(X6,X7,X8),X6))|~(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X7))))&(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8)|(in(esk4_3(X6,X7,X8),X6)&in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X7))))|X8=relation_rng_restriction(X6,X7))))),inference(skolemize,[status(esa)],[69])).
% fof(71, plain,![X6]:![X7]:![X8]:![X9]:![X10]:((((((~(in(ordered_pair(X9,X10),X8))|(in(X10,X6)&in(ordered_pair(X9,X10),X7)))&((~(in(X10,X6))|~(in(ordered_pair(X9,X10),X7)))|in(ordered_pair(X9,X10),X8)))|~(X8=relation_rng_restriction(X6,X7)))&(((~(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8))|(~(in(esk4_3(X6,X7,X8),X6))|~(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X7))))&(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8)|(in(esk4_3(X6,X7,X8),X6)&in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X7))))|X8=relation_rng_restriction(X6,X7)))|~(relation(X8)))|~(relation(X7))),inference(shift_quantors,[status(thm)],[70])).
% fof(72, plain,![X6]:![X7]:![X8]:![X9]:![X10]:(((((((in(X10,X6)|~(in(ordered_pair(X9,X10),X8)))|~(X8=relation_rng_restriction(X6,X7)))|~(relation(X8)))|~(relation(X7)))&((((in(ordered_pair(X9,X10),X7)|~(in(ordered_pair(X9,X10),X8)))|~(X8=relation_rng_restriction(X6,X7)))|~(relation(X8)))|~(relation(X7))))&(((((~(in(X10,X6))|~(in(ordered_pair(X9,X10),X7)))|in(ordered_pair(X9,X10),X8))|~(X8=relation_rng_restriction(X6,X7)))|~(relation(X8)))|~(relation(X7))))&(((((~(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8))|(~(in(esk4_3(X6,X7,X8),X6))|~(in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X7))))|X8=relation_rng_restriction(X6,X7))|~(relation(X8)))|~(relation(X7)))&(((((in(esk4_3(X6,X7,X8),X6)|in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8))|X8=relation_rng_restriction(X6,X7))|~(relation(X8)))|~(relation(X7)))&((((in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X7)|in(ordered_pair(esk3_3(X6,X7,X8),esk4_3(X6,X7,X8)),X8))|X8=relation_rng_restriction(X6,X7))|~(relation(X8)))|~(relation(X7)))))),inference(distribute,[status(thm)],[71])).
% cnf(76,plain,(in(ordered_pair(X4,X5),X2)|~relation(X1)|~relation(X2)|X2!=relation_rng_restriction(X3,X1)|~in(ordered_pair(X4,X5),X1)|~in(X5,X3)),inference(split_conjunct,[status(thm)],[72])).
% cnf(77,plain,(in(ordered_pair(X4,X5),X1)|~relation(X1)|~relation(X2)|X2!=relation_rng_restriction(X3,X1)|~in(ordered_pair(X4,X5),X2)),inference(split_conjunct,[status(thm)],[72])).
% cnf(78,plain,(in(X5,X3)|~relation(X1)|~relation(X2)|X2!=relation_rng_restriction(X3,X1)|~in(ordered_pair(X4,X5),X2)),inference(split_conjunct,[status(thm)],[72])).
% fof(79, 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)],[10])).
% fof(80, 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)],[79])).
% fof(81, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|in(ordered_pair(esk5_3(X5,X6,X7),X7),X5))&(![X9]:~(in(ordered_pair(X9,X7),X5))|in(X7,X6))))&(((~(in(esk6_2(X5,X6),X6))|![X11]:~(in(ordered_pair(X11,esk6_2(X5,X6)),X5)))&(in(esk6_2(X5,X6),X6)|in(ordered_pair(esk7_2(X5,X6),esk6_2(X5,X6)),X5)))|X6=relation_rng(X5)))),inference(skolemize,[status(esa)],[80])).
% fof(82, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk6_2(X5,X6)),X5))|~(in(esk6_2(X5,X6),X6)))&(in(esk6_2(X5,X6),X6)|in(ordered_pair(esk7_2(X5,X6),esk6_2(X5,X6)),X5)))|X6=relation_rng(X5))&(((~(in(ordered_pair(X9,X7),X5))|in(X7,X6))&(~(in(X7,X6))|in(ordered_pair(esk5_3(X5,X6,X7),X7),X5)))|~(X6=relation_rng(X5))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[81])).
% fof(83, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(X11,esk6_2(X5,X6)),X5))|~(in(esk6_2(X5,X6),X6)))|X6=relation_rng(X5))|~(relation(X5)))&(((in(esk6_2(X5,X6),X6)|in(ordered_pair(esk7_2(X5,X6),esk6_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(esk5_3(X5,X6,X7),X7),X5))|~(X6=relation_rng(X5)))|~(relation(X5))))),inference(distribute,[status(thm)],[82])).
% cnf(84,plain,(in(ordered_pair(esk5_3(X1,X2,X3),X3),X1)|~relation(X1)|X2!=relation_rng(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[83])).
% cnf(85,plain,(in(X3,X2)|~relation(X1)|X2!=relation_rng(X1)|~in(ordered_pair(X4,X3),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_rng(relation_rng_restriction(X2,X3))))|(~(in(X1,X2))|~(in(X1,relation_rng(X3)))))&(in(X1,relation_rng(relation_rng_restriction(X2,X3)))|(in(X1,X2)&in(X1,relation_rng(X3)))))),inference(fof_nnf,[status(thm)],[32])).
% fof(129, negated_conjecture,?[X4]:?[X5]:?[X6]:(relation(X6)&((~(in(X4,relation_rng(relation_rng_restriction(X5,X6))))|(~(in(X4,X5))|~(in(X4,relation_rng(X6)))))&(in(X4,relation_rng(relation_rng_restriction(X5,X6)))|(in(X4,X5)&in(X4,relation_rng(X6)))))),inference(variable_rename,[status(thm)],[128])).
% fof(130, negated_conjecture,(relation(esk13_0)&((~(in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0))))|(~(in(esk11_0,esk12_0))|~(in(esk11_0,relation_rng(esk13_0)))))&(in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0)))|(in(esk11_0,esk12_0)&in(esk11_0,relation_rng(esk13_0)))))),inference(skolemize,[status(esa)],[129])).
% fof(131, negated_conjecture,(relation(esk13_0)&((~(in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0))))|(~(in(esk11_0,esk12_0))|~(in(esk11_0,relation_rng(esk13_0)))))&((in(esk11_0,esk12_0)|in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0))))&(in(esk11_0,relation_rng(esk13_0))|in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0))))))),inference(distribute,[status(thm)],[130])).
% cnf(132,negated_conjecture,(in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0)))|in(esk11_0,relation_rng(esk13_0))),inference(split_conjunct,[status(thm)],[131])).
% cnf(133,negated_conjecture,(in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0)))|in(esk11_0,esk12_0)),inference(split_conjunct,[status(thm)],[131])).
% cnf(134,negated_conjecture,(~in(esk11_0,relation_rng(esk13_0))|~in(esk11_0,esk12_0)|~in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_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_rng(X1)!=X2|~relation(X1)|~in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X1)),inference(rw,[status(thm)],[85,114,theory(equality)]),['unfolding']).
% cnf(140,plain,(in(unordered_pair(unordered_pair(esk5_3(X1,X2,X3),X3),singleton(esk5_3(X1,X2,X3))),X1)|relation_rng(X1)!=X2|~relation(X1)|~in(X3,X2)),inference(rw,[status(thm)],[84,114,theory(equality)]),['unfolding']).
% cnf(142,plain,(in(X5,X3)|relation_rng_restriction(X3,X1)!=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_rng_restriction(X3,X1)!=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_rng_restriction(X3,X1)!=X2|~relation(X2)|~relation(X1)|~in(X5,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_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2)),inference(er,[status(thm)],[139,theory(equality)])).
% cnf(202,plain,(in(X1,X2)|~relation(relation_rng_restriction(X2,X3))|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),relation_rng_restriction(X2,X3))),inference(er,[status(thm)],[142,theory(equality)])).
% cnf(210,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)|~relation(relation_rng_restriction(X4,X3))|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_rng_restriction(X4,X3))),inference(er,[status(thm)],[143,theory(equality)])).
% cnf(215,plain,(in(unordered_pair(unordered_pair(X3,esk5_3(X1,X2,X3)),singleton(esk5_3(X1,X2,X3))),X1)|relation_rng(X1)!=X2|~relation(X1)|~in(X3,X2)),inference(rw,[status(thm)],[140,112,theory(equality)])).
% cnf(216,plain,(in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_rng(X2),X1)),singleton(esk5_3(X2,relation_rng(X2),X1))),X2)|~relation(X2)|~in(X1,relation_rng(X2))),inference(er,[status(thm)],[215,theory(equality)])).
% cnf(221,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_rng_restriction(X3,X4))|~relation(relation_rng_restriction(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4)|~in(X2,X3)),inference(er,[status(thm)],[144,theory(equality)])).
% cnf(656,plain,(in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),singleton(X3)),X2)),inference(spm,[status(thm)],[197,112,theory(equality)])).
% cnf(749,plain,(in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),relation_rng_restriction(X2,X3))),inference(csr,[status(thm)],[202,45])).
% cnf(759,plain,(in(X1,X2)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X4),singleton(X4)),relation_rng_restriction(X2,X3))),inference(spm,[status(thm)],[749,112,theory(equality)])).
% cnf(884,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_rng_restriction(X4,X3))),inference(csr,[status(thm)],[210,45])).
% cnf(894,plain,(in(unordered_pair(unordered_pair(X2,X1),singleton(X1)),X3)|~relation(X3)|~in(unordered_pair(unordered_pair(X2,X1),singleton(X1)),relation_rng_restriction(X4,X3))),inference(spm,[status(thm)],[884,112,theory(equality)])).
% cnf(945,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),relation_rng_restriction(esk12_0,esk13_0))|in(esk11_0,esk12_0)|~relation(relation_rng_restriction(esk12_0,esk13_0))),inference(spm,[status(thm)],[216,133,theory(equality)])).
% cnf(946,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),relation_rng_restriction(esk12_0,esk13_0))|in(esk11_0,relation_rng(esk13_0))|~relation(relation_rng_restriction(esk12_0,esk13_0))),inference(spm,[status(thm)],[216,132,theory(equality)])).
% cnf(956,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),relation_rng_restriction(esk12_0,esk13_0))|in(esk11_0,esk12_0)|~relation(esk13_0)),inference(spm,[status(thm)],[945,45,theory(equality)])).
% cnf(957,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),relation_rng_restriction(esk12_0,esk13_0))|in(esk11_0,esk12_0)|$false),inference(rw,[status(thm)],[956,135,theory(equality)])).
% cnf(958,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),relation_rng_restriction(esk12_0,esk13_0))|in(esk11_0,esk12_0)),inference(cn,[status(thm)],[957,theory(equality)])).
% cnf(963,negated_conjecture,(in(esk11_0,esk12_0)|~relation(esk13_0)),inference(spm,[status(thm)],[759,958,theory(equality)])).
% cnf(1008,negated_conjecture,(in(esk11_0,esk12_0)|$false),inference(rw,[status(thm)],[963,135,theory(equality)])).
% cnf(1009,negated_conjecture,(in(esk11_0,esk12_0)),inference(cn,[status(thm)],[1008,theory(equality)])).
% cnf(1018,negated_conjecture,(~in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0)))|~in(esk11_0,relation_rng(esk13_0))|$false),inference(rw,[status(thm)],[134,1009,theory(equality)])).
% cnf(1019,negated_conjecture,(~in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0)))|~in(esk11_0,relation_rng(esk13_0))),inference(cn,[status(thm)],[1018,theory(equality)])).
% cnf(1064,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),relation_rng_restriction(esk12_0,esk13_0))|in(esk11_0,relation_rng(esk13_0))|~relation(esk13_0)),inference(spm,[status(thm)],[946,45,theory(equality)])).
% cnf(1065,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),relation_rng_restriction(esk12_0,esk13_0))|in(esk11_0,relation_rng(esk13_0))|$false),inference(rw,[status(thm)],[1064,135,theory(equality)])).
% cnf(1066,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),relation_rng_restriction(esk12_0,esk13_0))|in(esk11_0,relation_rng(esk13_0))),inference(cn,[status(thm)],[1065,theory(equality)])).
% cnf(1211,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_rng_restriction(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4)|~in(X2,X3)),inference(csr,[status(thm)],[221,45])).
% cnf(1218,plain,(in(unordered_pair(unordered_pair(X2,X1),singleton(X1)),relation_rng_restriction(X3,X4))|~relation(X4)|~in(unordered_pair(unordered_pair(X2,X1),singleton(X1)),X4)|~in(X2,X3)),inference(spm,[status(thm)],[1211,112,theory(equality)])).
% cnf(11598,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),esk13_0)|in(esk11_0,relation_rng(esk13_0))|~relation(esk13_0)),inference(spm,[status(thm)],[894,1066,theory(equality)])).
% cnf(11601,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),esk13_0)|in(esk11_0,relation_rng(esk13_0))|$false),inference(rw,[status(thm)],[11598,135,theory(equality)])).
% cnf(11602,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0)),singleton(esk5_3(relation_rng_restriction(esk12_0,esk13_0),relation_rng(relation_rng_restriction(esk12_0,esk13_0)),esk11_0))),esk13_0)|in(esk11_0,relation_rng(esk13_0))),inference(cn,[status(thm)],[11601,theory(equality)])).
% cnf(11606,negated_conjecture,(in(esk11_0,relation_rng(esk13_0))|~relation(esk13_0)),inference(spm,[status(thm)],[656,11602,theory(equality)])).
% cnf(11724,negated_conjecture,(in(esk11_0,relation_rng(esk13_0))|$false),inference(rw,[status(thm)],[11606,135,theory(equality)])).
% cnf(11725,negated_conjecture,(in(esk11_0,relation_rng(esk13_0))),inference(cn,[status(thm)],[11724,theory(equality)])).
% cnf(11777,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(esk13_0,relation_rng(esk13_0),esk11_0)),singleton(esk5_3(esk13_0,relation_rng(esk13_0),esk11_0))),esk13_0)|~relation(esk13_0)),inference(spm,[status(thm)],[216,11725,theory(equality)])).
% cnf(11800,negated_conjecture,(~in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0)))|$false),inference(rw,[status(thm)],[1019,11725,theory(equality)])).
% cnf(11801,negated_conjecture,(~in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0)))),inference(cn,[status(thm)],[11800,theory(equality)])).
% cnf(11805,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(esk13_0,relation_rng(esk13_0),esk11_0)),singleton(esk5_3(esk13_0,relation_rng(esk13_0),esk11_0))),esk13_0)|$false),inference(rw,[status(thm)],[11777,135,theory(equality)])).
% cnf(11806,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(esk13_0,relation_rng(esk13_0),esk11_0)),singleton(esk5_3(esk13_0,relation_rng(esk13_0),esk11_0))),esk13_0)),inference(cn,[status(thm)],[11805,theory(equality)])).
% cnf(14324,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(esk13_0,relation_rng(esk13_0),esk11_0)),singleton(esk5_3(esk13_0,relation_rng(esk13_0),esk11_0))),relation_rng_restriction(X1,esk13_0))|~relation(esk13_0)|~in(esk11_0,X1)),inference(spm,[status(thm)],[1218,11806,theory(equality)])).
% cnf(14325,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(esk13_0,relation_rng(esk13_0),esk11_0)),singleton(esk5_3(esk13_0,relation_rng(esk13_0),esk11_0))),relation_rng_restriction(X1,esk13_0))|$false|~in(esk11_0,X1)),inference(rw,[status(thm)],[14324,135,theory(equality)])).
% cnf(14326,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(esk13_0,relation_rng(esk13_0),esk11_0)),singleton(esk5_3(esk13_0,relation_rng(esk13_0),esk11_0))),relation_rng_restriction(X1,esk13_0))|~in(esk11_0,X1)),inference(cn,[status(thm)],[14325,theory(equality)])).
% cnf(1402943,negated_conjecture,(in(unordered_pair(unordered_pair(esk11_0,esk5_3(esk13_0,relation_rng(esk13_0),esk11_0)),singleton(esk5_3(esk13_0,relation_rng(esk13_0),esk11_0))),relation_rng_restriction(esk12_0,esk13_0))),inference(spm,[status(thm)],[14326,1009,theory(equality)])).
% cnf(1402950,negated_conjecture,(in(esk11_0,relation_rng(relation_rng_restriction(esk12_0,esk13_0)))|~relation(relation_rng_restriction(esk12_0,esk13_0))),inference(spm,[status(thm)],[656,1402943,theory(equality)])).
% cnf(1403171,negated_conjecture,(~relation(relation_rng_restriction(esk12_0,esk13_0))),inference(sr,[status(thm)],[1402950,11801,theory(equality)])).
% cnf(1403216,negated_conjecture,(~relation(esk13_0)),inference(spm,[status(thm)],[1403171,45,theory(equality)])).
% cnf(1403235,negated_conjecture,($false),inference(rw,[status(thm)],[1403216,135,theory(equality)])).
% cnf(1403236,negated_conjecture,($false),inference(cn,[status(thm)],[1403235,theory(equality)])).
% cnf(1403237,negated_conjecture,($false),1403236,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 51999
% # ...of these trivial : 2
% # ...subsumed : 49549
% # ...remaining for further processing: 2448
% # Other redundant clauses eliminated : 533
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 95
% # Backward-rewritten : 379
% # Generated clauses : 1111742
% # ...of the previous two non-trivial : 1027012
% # Contextual simplify-reflections : 54823
% # Paramodulations : 1110643
% # Factorizations : 24
% # Equation resolutions : 553
% # Current number of processed clauses: 1794
% # Positive orientable unit clauses: 201
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 174
% # Non-unit-clauses : 1418
% # Current number of unprocessed clauses: 912408
% # ...number of literals in the above : 4718606
% # Clause-clause subsumption calls (NU) : 1864260
% # Rec. Clause-clause subsumption calls : 1487628
% # Unit Clause-clause subsumption calls : 104703
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 194
% # Indexed BW rewrite successes : 194
% # Backwards rewriting index: 697 leaves, 3.39+/-10.393 terms/leaf
% # Paramod-from index: 275 leaves, 2.87+/-7.622 terms/leaf
% # Paramod-into index: 579 leaves, 2.89+/-8.866 terms/leaf
% # -------------------------------------------------
% # User time : 39.634 s
% # System time : 1.074 s
% # Total time : 40.708 s
% # Maximum resident set size: 0 pages
% PrfWatch: 59.26 CPU 60.52 WC
% FINAL PrfWatch: 59.26 CPU 60.52 WC
% SZS output end Solution for /tmp/SystemOnTPTP3926/SEU197+1.tptp
%
%------------------------------------------------------------------------------