TSTP Solution File: SET954+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET954+1 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art03.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 00:22:55 EST 2010
% Result : Theorem 0.88s
% Output : Solution 0.88s
% 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/SystemOnTPTP10027/SET954+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ... found
% SZS status THM for /tmp/SystemOnTPTP10027/SET954+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP10027/SET954+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 10123
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:![X3]:![X4]:(in(ordered_pair(X1,X2),cartesian_product2(X3,X4))<=>(in(X1,X3)&in(X2,X4))),file('/tmp/SRASS.s.p', l55_zfmisc_1)).
% fof(3, axiom,![X1]:![X2]:unordered_pair(X1,X2)=unordered_pair(X2,X1),file('/tmp/SRASS.s.p', commutativity_k2_tarski)).
% fof(7, axiom,![X1]:![X2]:ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1)),file('/tmp/SRASS.s.p', d5_tarski)).
% fof(8, conjecture,![X1]:![X2]:![X3]:![X4]:(in(ordered_pair(X1,X2),cartesian_product2(X3,X4))=>in(ordered_pair(X2,X1),cartesian_product2(X4,X3))),file('/tmp/SRASS.s.p', t107_zfmisc_1)).
% fof(9, negated_conjecture,~(![X1]:![X2]:![X3]:![X4]:(in(ordered_pair(X1,X2),cartesian_product2(X3,X4))=>in(ordered_pair(X2,X1),cartesian_product2(X4,X3)))),inference(assume_negation,[status(cth)],[8])).
% fof(16, plain,![X1]:![X2]:![X3]:![X4]:((~(in(ordered_pair(X1,X2),cartesian_product2(X3,X4)))|(in(X1,X3)&in(X2,X4)))&((~(in(X1,X3))|~(in(X2,X4)))|in(ordered_pair(X1,X2),cartesian_product2(X3,X4)))),inference(fof_nnf,[status(thm)],[2])).
% fof(17, plain,![X5]:![X6]:![X7]:![X8]:((~(in(ordered_pair(X5,X6),cartesian_product2(X7,X8)))|(in(X5,X7)&in(X6,X8)))&((~(in(X5,X7))|~(in(X6,X8)))|in(ordered_pair(X5,X6),cartesian_product2(X7,X8)))),inference(variable_rename,[status(thm)],[16])).
% fof(18, plain,![X5]:![X6]:![X7]:![X8]:(((in(X5,X7)|~(in(ordered_pair(X5,X6),cartesian_product2(X7,X8))))&(in(X6,X8)|~(in(ordered_pair(X5,X6),cartesian_product2(X7,X8)))))&((~(in(X5,X7))|~(in(X6,X8)))|in(ordered_pair(X5,X6),cartesian_product2(X7,X8)))),inference(distribute,[status(thm)],[17])).
% cnf(19,plain,(in(ordered_pair(X1,X2),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3)),inference(split_conjunct,[status(thm)],[18])).
% cnf(20,plain,(in(X2,X4)|~in(ordered_pair(X1,X2),cartesian_product2(X3,X4))),inference(split_conjunct,[status(thm)],[18])).
% cnf(21,plain,(in(X1,X3)|~in(ordered_pair(X1,X2),cartesian_product2(X3,X4))),inference(split_conjunct,[status(thm)],[18])).
% fof(22, plain,![X3]:![X4]:unordered_pair(X3,X4)=unordered_pair(X4,X3),inference(variable_rename,[status(thm)],[3])).
% cnf(23,plain,(unordered_pair(X1,X2)=unordered_pair(X2,X1)),inference(split_conjunct,[status(thm)],[22])).
% fof(32, plain,![X3]:![X4]:ordered_pair(X3,X4)=unordered_pair(unordered_pair(X3,X4),singleton(X3)),inference(variable_rename,[status(thm)],[7])).
% cnf(33,plain,(ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1))),inference(split_conjunct,[status(thm)],[32])).
% fof(34, negated_conjecture,?[X1]:?[X2]:?[X3]:?[X4]:(in(ordered_pair(X1,X2),cartesian_product2(X3,X4))&~(in(ordered_pair(X2,X1),cartesian_product2(X4,X3)))),inference(fof_nnf,[status(thm)],[9])).
% fof(35, negated_conjecture,?[X5]:?[X6]:?[X7]:?[X8]:(in(ordered_pair(X5,X6),cartesian_product2(X7,X8))&~(in(ordered_pair(X6,X5),cartesian_product2(X8,X7)))),inference(variable_rename,[status(thm)],[34])).
% fof(36, negated_conjecture,(in(ordered_pair(esk3_0,esk4_0),cartesian_product2(esk5_0,esk6_0))&~(in(ordered_pair(esk4_0,esk3_0),cartesian_product2(esk6_0,esk5_0)))),inference(skolemize,[status(esa)],[35])).
% cnf(37,negated_conjecture,(~in(ordered_pair(esk4_0,esk3_0),cartesian_product2(esk6_0,esk5_0))),inference(split_conjunct,[status(thm)],[36])).
% cnf(38,negated_conjecture,(in(ordered_pair(esk3_0,esk4_0),cartesian_product2(esk5_0,esk6_0))),inference(split_conjunct,[status(thm)],[36])).
% cnf(39,negated_conjecture,(in(unordered_pair(unordered_pair(esk3_0,esk4_0),singleton(esk3_0)),cartesian_product2(esk5_0,esk6_0))),inference(rw,[status(thm)],[38,33,theory(equality)]),['unfolding']).
% cnf(40,plain,(in(X2,X4)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))),inference(rw,[status(thm)],[20,33,theory(equality)]),['unfolding']).
% cnf(41,plain,(in(X1,X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))),inference(rw,[status(thm)],[21,33,theory(equality)]),['unfolding']).
% cnf(42,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3)),inference(rw,[status(thm)],[19,33,theory(equality)]),['unfolding']).
% cnf(44,negated_conjecture,(~in(unordered_pair(unordered_pair(esk4_0,esk3_0),singleton(esk4_0)),cartesian_product2(esk6_0,esk5_0))),inference(rw,[status(thm)],[37,33,theory(equality)]),['unfolding']).
% cnf(45,negated_conjecture,(~in(unordered_pair(unordered_pair(esk3_0,esk4_0),singleton(esk4_0)),cartesian_product2(esk6_0,esk5_0))),inference(rw,[status(thm)],[44,23,theory(equality)])).
% cnf(50,negated_conjecture,(in(esk4_0,esk6_0)),inference(spm,[status(thm)],[40,39,theory(equality)])).
% cnf(55,negated_conjecture,(in(esk3_0,esk5_0)),inference(spm,[status(thm)],[41,39,theory(equality)])).
% cnf(64,plain,(in(unordered_pair(unordered_pair(X2,X1),singleton(X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3)),inference(spm,[status(thm)],[42,23,theory(equality)])).
% cnf(117,negated_conjecture,(~in(esk3_0,esk5_0)|~in(esk4_0,esk6_0)),inference(spm,[status(thm)],[45,64,theory(equality)])).
% cnf(126,negated_conjecture,($false|~in(esk4_0,esk6_0)),inference(rw,[status(thm)],[117,55,theory(equality)])).
% cnf(127,negated_conjecture,($false|$false),inference(rw,[status(thm)],[126,50,theory(equality)])).
% cnf(128,negated_conjecture,($false),inference(cn,[status(thm)],[127,theory(equality)])).
% cnf(129,negated_conjecture,($false),128,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 63
% # ...of these trivial : 0
% # ...subsumed : 26
% # ...remaining for further processing: 37
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 0
% # Generated clauses : 80
% # ...of the previous two non-trivial : 67
% # Contextual simplify-reflections : 0
% # Paramodulations : 80
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 27
% # Positive orientable unit clauses: 4
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 9
% # Non-unit-clauses : 13
% # Current number of unprocessed clauses: 24
% # ...number of literals in the above : 60
% # Clause-clause subsumption calls (NU) : 209
% # Rec. Clause-clause subsumption calls : 200
% # Unit Clause-clause subsumption calls : 8
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 0
% # Indexed BW rewrite successes : 0
% # Backwards rewriting index: 35 leaves, 2.17+/-2.223 terms/leaf
% # Paramod-from index: 6 leaves, 1.33+/-0.471 terms/leaf
% # Paramod-into index: 34 leaves, 1.94+/-1.798 terms/leaf
% # -------------------------------------------------
% # User time : 0.010 s
% # System time : 0.006 s
% # Total time : 0.016 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.10 CPU 0.17 WC
% FINAL PrfWatch: 0.10 CPU 0.17 WC
% SZS output end Solution for /tmp/SystemOnTPTP10027/SET954+1.tptp
%
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