TSTP Solution File: SEU156+3 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU156+3 : TPTP v5.0.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art06.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 01:20:33 EST 2010

% Result   : Theorem 0.90s
% Output   : Solution 0.90s
% 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/SystemOnTPTP20931/SEU156+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... found
% SZS status THM for /tmp/SystemOnTPTP20931/SEU156+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP20931/SEU156+3.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 21027
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.011 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1)),file('/tmp/SRASS.s.p', d5_tarski)).
% fof(5, axiom,![X1]:unordered_pair(X1,X1)=singleton(X1),file('/tmp/SRASS.s.p', t69_enumset1)).
% fof(6, axiom,![X1]:![X2]:![X3]:(singleton(X1)=unordered_pair(X2,X3)=>X1=X2),file('/tmp/SRASS.s.p', t8_zfmisc_1)).
% fof(7, axiom,![X1]:![X2]:![X3]:(singleton(X1)=unordered_pair(X2,X3)=>X2=X3),file('/tmp/SRASS.s.p', t9_zfmisc_1)).
% fof(8, axiom,![X1]:![X2]:unordered_pair(X1,X2)=unordered_pair(X2,X1),file('/tmp/SRASS.s.p', commutativity_k2_tarski)).
% fof(9, axiom,![X1]:![X2]:![X3]:![X4]:~(((unordered_pair(X1,X2)=unordered_pair(X3,X4)&~(X1=X3))&~(X1=X4))),file('/tmp/SRASS.s.p', t10_zfmisc_1)).
% fof(12, conjecture,![X1]:![X2]:![X3]:![X4]:(ordered_pair(X1,X2)=ordered_pair(X3,X4)=>(X1=X3&X2=X4)),file('/tmp/SRASS.s.p', t33_zfmisc_1)).
% fof(13, negated_conjecture,~(![X1]:![X2]:![X3]:![X4]:(ordered_pair(X1,X2)=ordered_pair(X3,X4)=>(X1=X3&X2=X4))),inference(assume_negation,[status(cth)],[12])).
% fof(16, plain,![X3]:![X4]:ordered_pair(X3,X4)=unordered_pair(unordered_pair(X3,X4),singleton(X3)),inference(variable_rename,[status(thm)],[1])).
% cnf(17,plain,(ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1))),inference(split_conjunct,[status(thm)],[16])).
% fof(26, plain,![X2]:unordered_pair(X2,X2)=singleton(X2),inference(variable_rename,[status(thm)],[5])).
% cnf(27,plain,(unordered_pair(X1,X1)=singleton(X1)),inference(split_conjunct,[status(thm)],[26])).
% fof(28, plain,![X1]:![X2]:![X3]:(~(singleton(X1)=unordered_pair(X2,X3))|X1=X2),inference(fof_nnf,[status(thm)],[6])).
% fof(29, plain,![X4]:![X5]:![X6]:(~(singleton(X4)=unordered_pair(X5,X6))|X4=X5),inference(variable_rename,[status(thm)],[28])).
% cnf(30,plain,(X1=X2|singleton(X1)!=unordered_pair(X2,X3)),inference(split_conjunct,[status(thm)],[29])).
% fof(31, plain,![X1]:![X2]:![X3]:(~(singleton(X1)=unordered_pair(X2,X3))|X2=X3),inference(fof_nnf,[status(thm)],[7])).
% fof(32, plain,![X4]:![X5]:![X6]:(~(singleton(X4)=unordered_pair(X5,X6))|X5=X6),inference(variable_rename,[status(thm)],[31])).
% cnf(33,plain,(X1=X2|singleton(X3)!=unordered_pair(X1,X2)),inference(split_conjunct,[status(thm)],[32])).
% fof(34, plain,![X3]:![X4]:unordered_pair(X3,X4)=unordered_pair(X4,X3),inference(variable_rename,[status(thm)],[8])).
% cnf(35,plain,(unordered_pair(X1,X2)=unordered_pair(X2,X1)),inference(split_conjunct,[status(thm)],[34])).
% fof(36, plain,![X1]:![X2]:![X3]:![X4]:((~(unordered_pair(X1,X2)=unordered_pair(X3,X4))|X1=X3)|X1=X4),inference(fof_nnf,[status(thm)],[9])).
% fof(37, plain,![X5]:![X6]:![X7]:![X8]:((~(unordered_pair(X5,X6)=unordered_pair(X7,X8))|X5=X7)|X5=X8),inference(variable_rename,[status(thm)],[36])).
% cnf(38,plain,(X1=X2|X1=X3|unordered_pair(X1,X4)!=unordered_pair(X3,X2)),inference(split_conjunct,[status(thm)],[37])).
% fof(44, negated_conjecture,?[X1]:?[X2]:?[X3]:?[X4]:(ordered_pair(X1,X2)=ordered_pair(X3,X4)&(~(X1=X3)|~(X2=X4))),inference(fof_nnf,[status(thm)],[13])).
% fof(45, negated_conjecture,?[X5]:?[X6]:?[X7]:?[X8]:(ordered_pair(X5,X6)=ordered_pair(X7,X8)&(~(X5=X7)|~(X6=X8))),inference(variable_rename,[status(thm)],[44])).
% fof(46, negated_conjecture,(ordered_pair(esk3_0,esk4_0)=ordered_pair(esk5_0,esk6_0)&(~(esk3_0=esk5_0)|~(esk4_0=esk6_0))),inference(skolemize,[status(esa)],[45])).
% cnf(47,negated_conjecture,(esk4_0!=esk6_0|esk3_0!=esk5_0),inference(split_conjunct,[status(thm)],[46])).
% cnf(48,negated_conjecture,(ordered_pair(esk3_0,esk4_0)=ordered_pair(esk5_0,esk6_0)),inference(split_conjunct,[status(thm)],[46])).
% cnf(49,plain,(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))=ordered_pair(X1,X2)),inference(rw,[status(thm)],[17,27,theory(equality)]),['unfolding']).
% cnf(50,plain,(X1=X2|unordered_pair(X2,X3)!=unordered_pair(X1,X1)),inference(rw,[status(thm)],[30,27,theory(equality)]),['unfolding']).
% cnf(51,plain,(X1=X2|unordered_pair(X1,X2)!=unordered_pair(X3,X3)),inference(rw,[status(thm)],[33,27,theory(equality)]),['unfolding']).
% cnf(53,negated_conjecture,(unordered_pair(unordered_pair(esk5_0,esk6_0),unordered_pair(esk5_0,esk5_0))=unordered_pair(unordered_pair(esk3_0,esk4_0),unordered_pair(esk3_0,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[48,49,theory(equality)]),49,theory(equality)]),['unfolding']).
% cnf(61,plain,(X1=X2|unordered_pair(X1,X1)!=unordered_pair(X3,X2)),inference(spm,[status(thm)],[50,35,theory(equality)])).
% cnf(74,plain,(X1=X2|X1=X3|unordered_pair(X4,X1)!=unordered_pair(X3,X2)),inference(spm,[status(thm)],[38,35,theory(equality)])).
% cnf(76,negated_conjecture,(unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk6_0))=unordered_pair(unordered_pair(esk3_0,esk4_0),unordered_pair(esk3_0,esk3_0))),inference(rw,[status(thm)],[53,35,theory(equality)])).
% cnf(77,negated_conjecture,(unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk6_0))=unordered_pair(unordered_pair(esk3_0,esk3_0),unordered_pair(esk3_0,esk4_0))),inference(rw,[status(thm)],[76,35,theory(equality)])).
% cnf(82,negated_conjecture,(X1=unordered_pair(esk3_0,esk4_0)|X1=unordered_pair(esk3_0,esk3_0)|unordered_pair(X1,X2)!=unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk6_0))),inference(spm,[status(thm)],[38,77,theory(equality)])).
% cnf(120,negated_conjecture,(X1=unordered_pair(esk3_0,esk3_0)|X1=unordered_pair(esk3_0,esk4_0)|unordered_pair(X2,X1)!=unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk6_0))),inference(spm,[status(thm)],[74,77,theory(equality)])).
% cnf(123,negated_conjecture,(unordered_pair(esk3_0,esk4_0)=X1|unordered_pair(esk3_0,esk4_0)=X2|unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk6_0))!=unordered_pair(X1,X2)),inference(spm,[status(thm)],[74,77,theory(equality)])).
% cnf(201,negated_conjecture,(unordered_pair(esk5_0,esk5_0)=unordered_pair(esk3_0,esk3_0)|unordered_pair(esk5_0,esk5_0)=unordered_pair(esk3_0,esk4_0)),inference(er,[status(thm)],[82,theory(equality)])).
% cnf(206,negated_conjecture,(esk3_0=esk4_0|unordered_pair(esk3_0,esk3_0)=unordered_pair(esk5_0,esk5_0)|unordered_pair(esk5_0,esk5_0)!=unordered_pair(X1,X1)),inference(spm,[status(thm)],[51,201,theory(equality)])).
% cnf(272,negated_conjecture,(unordered_pair(esk5_0,esk6_0)=unordered_pair(esk3_0,esk4_0)|unordered_pair(esk5_0,esk6_0)=unordered_pair(esk3_0,esk3_0)),inference(er,[status(thm)],[120,theory(equality)])).
% cnf(310,negated_conjecture,(unordered_pair(esk3_0,esk4_0)=unordered_pair(esk5_0,esk6_0)|unordered_pair(esk3_0,esk4_0)=unordered_pair(esk5_0,esk5_0)),inference(er,[status(thm)],[123,theory(equality)])).
% cnf(315,negated_conjecture,(unordered_pair(esk3_0,esk4_0)=unordered_pair(esk5_0,esk5_0)|unordered_pair(esk5_0,esk6_0)!=unordered_pair(esk5_0,esk5_0)),inference(ef,[status(thm)],[310,theory(equality)])).
% cnf(387,negated_conjecture,(unordered_pair(esk3_0,esk3_0)=unordered_pair(esk5_0,esk5_0)|esk4_0=esk3_0),inference(er,[status(thm)],[206,theory(equality)])).
% cnf(401,negated_conjecture,(esk3_0=X1|esk4_0=esk3_0|unordered_pair(esk5_0,esk5_0)!=unordered_pair(X1,X2)),inference(spm,[status(thm)],[50,387,theory(equality)])).
% cnf(432,negated_conjecture,(esk4_0=esk3_0|esk3_0=esk5_0),inference(er,[status(thm)],[401,theory(equality)])).
% cnf(440,negated_conjecture,(unordered_pair(esk3_0,esk3_0)=unordered_pair(esk5_0,esk6_0)|esk3_0=esk5_0),inference(spm,[status(thm)],[272,432,theory(equality)])).
% cnf(449,negated_conjecture,(esk3_0=esk5_0),inference(csr,[status(thm)],[440,50])).
% cnf(457,negated_conjecture,(unordered_pair(esk5_0,esk4_0)=unordered_pair(esk5_0,esk5_0)|unordered_pair(esk5_0,esk6_0)!=unordered_pair(esk5_0,esk5_0)),inference(rw,[status(thm)],[315,449,theory(equality)])).
% cnf(493,negated_conjecture,(unordered_pair(esk5_0,esk5_0)=unordered_pair(esk5_0,esk6_0)|unordered_pair(esk3_0,esk4_0)=unordered_pair(esk5_0,esk6_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[272,449,theory(equality)]),449,theory(equality)])).
% cnf(494,negated_conjecture,(unordered_pair(esk5_0,esk5_0)=unordered_pair(esk5_0,esk6_0)|unordered_pair(esk5_0,esk4_0)=unordered_pair(esk5_0,esk6_0)),inference(rw,[status(thm)],[493,449,theory(equality)])).
% cnf(500,negated_conjecture,($false|esk4_0!=esk6_0),inference(rw,[status(thm)],[47,449,theory(equality)])).
% cnf(501,negated_conjecture,(esk4_0!=esk6_0),inference(cn,[status(thm)],[500,theory(equality)])).
% cnf(536,negated_conjecture,(X1=esk5_0|X1=esk4_0|unordered_pair(esk5_0,esk6_0)=unordered_pair(esk5_0,esk5_0)|unordered_pair(X2,X1)!=unordered_pair(esk5_0,esk6_0)),inference(spm,[status(thm)],[74,494,theory(equality)])).
% cnf(613,negated_conjecture,(unordered_pair(esk5_0,esk6_0)=unordered_pair(esk5_0,esk5_0)|esk6_0=esk4_0|esk6_0=esk5_0),inference(er,[status(thm)],[536,theory(equality)])).
% cnf(617,negated_conjecture,(unordered_pair(esk5_0,esk6_0)=unordered_pair(esk5_0,esk5_0)|esk6_0=esk5_0),inference(sr,[status(thm)],[613,501,theory(equality)])).
% cnf(618,negated_conjecture,(esk6_0=esk5_0),inference(csr,[status(thm)],[617,61])).
% cnf(622,negated_conjecture,(unordered_pair(esk5_0,esk4_0)=unordered_pair(esk5_0,esk5_0)|$false),inference(rw,[status(thm)],[457,618,theory(equality)])).
% cnf(623,negated_conjecture,(unordered_pair(esk5_0,esk4_0)=unordered_pair(esk5_0,esk5_0)),inference(cn,[status(thm)],[622,theory(equality)])).
% cnf(645,negated_conjecture,(esk4_0!=esk5_0),inference(rw,[status(thm)],[501,618,theory(equality)])).
% cnf(650,negated_conjecture,(esk5_0=esk4_0|unordered_pair(esk5_0,esk5_0)!=unordered_pair(X1,X1)),inference(spm,[status(thm)],[51,623,theory(equality)])).
% cnf(661,negated_conjecture,(unordered_pair(esk5_0,esk5_0)!=unordered_pair(X1,X1)),inference(sr,[status(thm)],[650,645,theory(equality)])).
% cnf(664,negated_conjecture,($false),inference(er,[status(thm)],[661,theory(equality)])).
% cnf(669,negated_conjecture,($false),664,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 237
% # ...of these trivial                : 2
% # ...subsumed                        : 158
% # ...remaining for further processing: 77
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 5
% # Backward-rewritten                 : 52
% # Generated clauses                  : 471
% # ...of the previous two non-trivial : 488
% # Contextual simplify-reflections    : 9
% # Paramodulations                    : 452
% # Factorizations                     : 3
% # Equation resolutions               : 16
% # Current number of processed clauses: 20
% #    Positive orientable unit clauses: 5
% #    Positive unorientable unit clauses: 1
% #    Negative unit clauses           : 8
% #    Non-unit-clauses                : 6
% # Current number of unprocessed clauses: 25
% # ...number of literals in the above : 48
% # Clause-clause subsumption calls (NU) : 1169
% # Rec. Clause-clause subsumption calls : 1157
% # Unit Clause-clause subsumption calls : 8
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 2
% # Indexed BW rewrite successes       : 2
% # Backwards rewriting index:    18 leaves,   1.83+/-2.062 terms/leaf
% # Paramod-from index:            6 leaves,   1.17+/-0.373 terms/leaf
% # Paramod-into index:           17 leaves,   1.88+/-2.111 terms/leaf
% # -------------------------------------------------
% # User time              : 0.027 s
% # System time            : 0.004 s
% # Total time             : 0.031 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/SystemOnTPTP20931/SEU156+3.tptp
% 
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