TSTP Solution File: SEU003+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU003+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 00:32:59 EST 2010
% Result : Theorem 48.85s
% Output : Solution 48.85s
% 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/SystemOnTPTP18125/SEU003+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP18125/SEU003+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP18125/SEU003+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 18221
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.93 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.01 WC
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% PrfWatch: 9.82 CPU 10.08 WC
% PrfWatch: 11.40 CPU 12.14 WC
% PrfWatch: 13.26 CPU 14.14 WC
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% PrfWatch: 17.24 CPU 18.15 WC
% PrfWatch: 19.23 CPU 20.15 WC
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% PrfWatch: 25.21 CPU 26.17 WC
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% PrfWatch: 29.19 CPU 30.18 WC
% PrfWatch: 31.16 CPU 32.18 WC
% PrfWatch: 33.15 CPU 34.19 WC
% PrfWatch: 35.15 CPU 36.19 WC
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 37.13 CPU 38.20 WC
% PrfWatch: 39.12 CPU 40.20 WC
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% PrfWatch: 43.11 CPU 44.21 WC
% PrfWatch: 45.10 CPU 46.21 WC
% PrfWatch: 47.10 CPU 48.22 WC
% # SZS output start CNFRefutation.
% fof(12, axiom,![X1]:((relation(X1)&function(X1))=>![X2]:(X2=relation_rng(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:(in(X4,relation_dom(X1))&X3=apply(X1,X4))))),file('/tmp/SRASS.s.p', d5_funct_1)).
% fof(14, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(in(X1,relation_dom(relation_composition(X3,X2)))<=>(in(X1,relation_dom(X3))&in(apply(X3,X1),relation_dom(X2)))))),file('/tmp/SRASS.s.p', t21_funct_1)).
% fof(18, axiom,![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2))),file('/tmp/SRASS.s.p', d3_tarski)).
% fof(37, conjecture,![X1]:((relation(X1)&function(X1))=>![X2]:((relation(X2)&function(X2))=>(relation_dom(relation_composition(X2,X1))=relation_dom(X2)=>subset(relation_rng(X2),relation_dom(X1))))),file('/tmp/SRASS.s.p', t27_funct_1)).
% fof(38, negated_conjecture,~(![X1]:((relation(X1)&function(X1))=>![X2]:((relation(X2)&function(X2))=>(relation_dom(relation_composition(X2,X1))=relation_dom(X2)=>subset(relation_rng(X2),relation_dom(X1)))))),inference(assume_negation,[status(cth)],[37])).
% fof(89, plain,![X1]:((~(relation(X1))|~(function(X1)))|![X2]:((~(X2=relation_rng(X1))|![X3]:((~(in(X3,X2))|?[X4]:(in(X4,relation_dom(X1))&X3=apply(X1,X4)))&(![X4]:(~(in(X4,relation_dom(X1)))|~(X3=apply(X1,X4)))|in(X3,X2))))&(?[X3]:((~(in(X3,X2))|![X4]:(~(in(X4,relation_dom(X1)))|~(X3=apply(X1,X4))))&(in(X3,X2)|?[X4]:(in(X4,relation_dom(X1))&X3=apply(X1,X4))))|X2=relation_rng(X1)))),inference(fof_nnf,[status(thm)],[12])).
% fof(90, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|?[X8]:(in(X8,relation_dom(X5))&X7=apply(X5,X8)))&(![X9]:(~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))))&(?[X10]:((~(in(X10,X6))|![X11]:(~(in(X11,relation_dom(X5)))|~(X10=apply(X5,X11))))&(in(X10,X6)|?[X12]:(in(X12,relation_dom(X5))&X10=apply(X5,X12))))|X6=relation_rng(X5)))),inference(variable_rename,[status(thm)],[89])).
% fof(91, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|(in(esk2_3(X5,X6,X7),relation_dom(X5))&X7=apply(X5,esk2_3(X5,X6,X7))))&(![X9]:(~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))))&(((~(in(esk3_2(X5,X6),X6))|![X11]:(~(in(X11,relation_dom(X5)))|~(esk3_2(X5,X6)=apply(X5,X11))))&(in(esk3_2(X5,X6),X6)|(in(esk4_2(X5,X6),relation_dom(X5))&esk3_2(X5,X6)=apply(X5,esk4_2(X5,X6)))))|X6=relation_rng(X5)))),inference(skolemize,[status(esa)],[90])).
% fof(92, plain,![X5]:![X6]:![X7]:![X9]:![X11]:((((((~(in(X11,relation_dom(X5)))|~(esk3_2(X5,X6)=apply(X5,X11)))|~(in(esk3_2(X5,X6),X6)))&(in(esk3_2(X5,X6),X6)|(in(esk4_2(X5,X6),relation_dom(X5))&esk3_2(X5,X6)=apply(X5,esk4_2(X5,X6)))))|X6=relation_rng(X5))&((((~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))&(~(in(X7,X6))|(in(esk2_3(X5,X6,X7),relation_dom(X5))&X7=apply(X5,esk2_3(X5,X6,X7)))))|~(X6=relation_rng(X5))))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[91])).
% fof(93, plain,![X5]:![X6]:![X7]:![X9]:![X11]:((((((~(in(X11,relation_dom(X5)))|~(esk3_2(X5,X6)=apply(X5,X11)))|~(in(esk3_2(X5,X6),X6)))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))&((((in(esk4_2(X5,X6),relation_dom(X5))|in(esk3_2(X5,X6),X6))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))&(((esk3_2(X5,X6)=apply(X5,esk4_2(X5,X6))|in(esk3_2(X5,X6),X6))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))))&(((((~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))&((((in(esk2_3(X5,X6,X7),relation_dom(X5))|~(in(X7,X6)))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))&(((X7=apply(X5,esk2_3(X5,X6,X7))|~(in(X7,X6)))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))))),inference(distribute,[status(thm)],[92])).
% cnf(94,plain,(X3=apply(X1,esk2_3(X1,X2,X3))|~function(X1)|~relation(X1)|X2!=relation_rng(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[93])).
% cnf(95,plain,(in(esk2_3(X1,X2,X3),relation_dom(X1))|~function(X1)|~relation(X1)|X2!=relation_rng(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[93])).
% fof(103, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|![X3]:((~(relation(X3))|~(function(X3)))|((~(in(X1,relation_dom(relation_composition(X3,X2))))|(in(X1,relation_dom(X3))&in(apply(X3,X1),relation_dom(X2))))&((~(in(X1,relation_dom(X3)))|~(in(apply(X3,X1),relation_dom(X2))))|in(X1,relation_dom(relation_composition(X3,X2))))))),inference(fof_nnf,[status(thm)],[14])).
% fof(104, plain,![X4]:![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(relation(X6))|~(function(X6)))|((~(in(X4,relation_dom(relation_composition(X6,X5))))|(in(X4,relation_dom(X6))&in(apply(X6,X4),relation_dom(X5))))&((~(in(X4,relation_dom(X6)))|~(in(apply(X6,X4),relation_dom(X5))))|in(X4,relation_dom(relation_composition(X6,X5))))))),inference(variable_rename,[status(thm)],[103])).
% fof(105, plain,![X4]:![X5]:![X6]:(((~(relation(X6))|~(function(X6)))|((~(in(X4,relation_dom(relation_composition(X6,X5))))|(in(X4,relation_dom(X6))&in(apply(X6,X4),relation_dom(X5))))&((~(in(X4,relation_dom(X6)))|~(in(apply(X6,X4),relation_dom(X5))))|in(X4,relation_dom(relation_composition(X6,X5))))))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[104])).
% fof(106, plain,![X4]:![X5]:![X6]:(((((in(X4,relation_dom(X6))|~(in(X4,relation_dom(relation_composition(X6,X5)))))|(~(relation(X6))|~(function(X6))))|(~(relation(X5))|~(function(X5))))&(((in(apply(X6,X4),relation_dom(X5))|~(in(X4,relation_dom(relation_composition(X6,X5)))))|(~(relation(X6))|~(function(X6))))|(~(relation(X5))|~(function(X5)))))&((((~(in(X4,relation_dom(X6)))|~(in(apply(X6,X4),relation_dom(X5))))|in(X4,relation_dom(relation_composition(X6,X5))))|(~(relation(X6))|~(function(X6))))|(~(relation(X5))|~(function(X5))))),inference(distribute,[status(thm)],[105])).
% cnf(108,plain,(in(apply(X2,X3),relation_dom(X1))|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|~in(X3,relation_dom(relation_composition(X2,X1)))),inference(split_conjunct,[status(thm)],[106])).
% fof(121, plain,![X1]:![X2]:((~(subset(X1,X2))|![X3]:(~(in(X3,X1))|in(X3,X2)))&(?[X3]:(in(X3,X1)&~(in(X3,X2)))|subset(X1,X2))),inference(fof_nnf,[status(thm)],[18])).
% fof(122, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&(?[X7]:(in(X7,X4)&~(in(X7,X5)))|subset(X4,X5))),inference(variable_rename,[status(thm)],[121])).
% fof(123, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&((in(esk7_2(X4,X5),X4)&~(in(esk7_2(X4,X5),X5)))|subset(X4,X5))),inference(skolemize,[status(esa)],[122])).
% fof(124, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk7_2(X4,X5),X4)&~(in(esk7_2(X4,X5),X5)))|subset(X4,X5))),inference(shift_quantors,[status(thm)],[123])).
% fof(125, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk7_2(X4,X5),X4)|subset(X4,X5))&(~(in(esk7_2(X4,X5),X5))|subset(X4,X5)))),inference(distribute,[status(thm)],[124])).
% cnf(126,plain,(subset(X1,X2)|~in(esk7_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[125])).
% cnf(127,plain,(subset(X1,X2)|in(esk7_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[125])).
% fof(185, negated_conjecture,?[X1]:((relation(X1)&function(X1))&?[X2]:((relation(X2)&function(X2))&(relation_dom(relation_composition(X2,X1))=relation_dom(X2)&~(subset(relation_rng(X2),relation_dom(X1)))))),inference(fof_nnf,[status(thm)],[38])).
% fof(186, negated_conjecture,?[X3]:((relation(X3)&function(X3))&?[X4]:((relation(X4)&function(X4))&(relation_dom(relation_composition(X4,X3))=relation_dom(X4)&~(subset(relation_rng(X4),relation_dom(X3)))))),inference(variable_rename,[status(thm)],[185])).
% fof(187, negated_conjecture,((relation(esk14_0)&function(esk14_0))&((relation(esk15_0)&function(esk15_0))&(relation_dom(relation_composition(esk15_0,esk14_0))=relation_dom(esk15_0)&~(subset(relation_rng(esk15_0),relation_dom(esk14_0)))))),inference(skolemize,[status(esa)],[186])).
% cnf(188,negated_conjecture,(~subset(relation_rng(esk15_0),relation_dom(esk14_0))),inference(split_conjunct,[status(thm)],[187])).
% cnf(189,negated_conjecture,(relation_dom(relation_composition(esk15_0,esk14_0))=relation_dom(esk15_0)),inference(split_conjunct,[status(thm)],[187])).
% cnf(190,negated_conjecture,(function(esk15_0)),inference(split_conjunct,[status(thm)],[187])).
% cnf(191,negated_conjecture,(relation(esk15_0)),inference(split_conjunct,[status(thm)],[187])).
% cnf(192,negated_conjecture,(function(esk14_0)),inference(split_conjunct,[status(thm)],[187])).
% cnf(193,negated_conjecture,(relation(esk14_0)),inference(split_conjunct,[status(thm)],[187])).
% cnf(276,plain,(in(X3,relation_dom(X4))|~in(esk2_3(X1,X2,X3),relation_dom(relation_composition(X1,X4)))|~function(X1)|~function(X4)|~relation(X1)|~relation(X4)|relation_rng(X1)!=X2|~in(X3,X2)),inference(spm,[status(thm)],[108,94,theory(equality)])).
% cnf(2087,negated_conjecture,(in(X1,relation_dom(esk14_0))|relation_rng(esk15_0)!=X2|~in(esk2_3(esk15_0,X2,X1),relation_dom(esk15_0))|~in(X1,X2)|~function(esk15_0)|~function(esk14_0)|~relation(esk15_0)|~relation(esk14_0)),inference(spm,[status(thm)],[276,189,theory(equality)])).
% cnf(2114,negated_conjecture,(in(X1,relation_dom(esk14_0))|relation_rng(esk15_0)!=X2|~in(esk2_3(esk15_0,X2,X1),relation_dom(esk15_0))|~in(X1,X2)|$false|~function(esk14_0)|~relation(esk15_0)|~relation(esk14_0)),inference(rw,[status(thm)],[2087,190,theory(equality)])).
% cnf(2115,negated_conjecture,(in(X1,relation_dom(esk14_0))|relation_rng(esk15_0)!=X2|~in(esk2_3(esk15_0,X2,X1),relation_dom(esk15_0))|~in(X1,X2)|$false|$false|~relation(esk15_0)|~relation(esk14_0)),inference(rw,[status(thm)],[2114,192,theory(equality)])).
% cnf(2116,negated_conjecture,(in(X1,relation_dom(esk14_0))|relation_rng(esk15_0)!=X2|~in(esk2_3(esk15_0,X2,X1),relation_dom(esk15_0))|~in(X1,X2)|$false|$false|$false|~relation(esk14_0)),inference(rw,[status(thm)],[2115,191,theory(equality)])).
% cnf(2117,negated_conjecture,(in(X1,relation_dom(esk14_0))|relation_rng(esk15_0)!=X2|~in(esk2_3(esk15_0,X2,X1),relation_dom(esk15_0))|~in(X1,X2)|$false|$false|$false|$false),inference(rw,[status(thm)],[2116,193,theory(equality)])).
% cnf(2118,negated_conjecture,(in(X1,relation_dom(esk14_0))|relation_rng(esk15_0)!=X2|~in(esk2_3(esk15_0,X2,X1),relation_dom(esk15_0))|~in(X1,X2)),inference(cn,[status(thm)],[2117,theory(equality)])).
% cnf(21604,negated_conjecture,(in(X1,relation_dom(esk14_0))|relation_rng(esk15_0)!=X2|~in(X1,X2)|~function(esk15_0)|~relation(esk15_0)),inference(spm,[status(thm)],[2118,95,theory(equality)])).
% cnf(21605,negated_conjecture,(in(X1,relation_dom(esk14_0))|relation_rng(esk15_0)!=X2|~in(X1,X2)|$false|~relation(esk15_0)),inference(rw,[status(thm)],[21604,190,theory(equality)])).
% cnf(21606,negated_conjecture,(in(X1,relation_dom(esk14_0))|relation_rng(esk15_0)!=X2|~in(X1,X2)|$false|$false),inference(rw,[status(thm)],[21605,191,theory(equality)])).
% cnf(21607,negated_conjecture,(in(X1,relation_dom(esk14_0))|relation_rng(esk15_0)!=X2|~in(X1,X2)),inference(cn,[status(thm)],[21606,theory(equality)])).
% cnf(732589,negated_conjecture,(in(X1,relation_dom(esk14_0))|~in(X1,relation_rng(esk15_0))),inference(er,[status(thm)],[21607,theory(equality)])).
% cnf(732623,negated_conjecture,(in(esk7_2(relation_rng(esk15_0),X1),relation_dom(esk14_0))|subset(relation_rng(esk15_0),X1)),inference(spm,[status(thm)],[732589,127,theory(equality)])).
% cnf(733809,negated_conjecture,(subset(relation_rng(esk15_0),relation_dom(esk14_0))),inference(spm,[status(thm)],[126,732623,theory(equality)])).
% cnf(733951,negated_conjecture,($false),inference(sr,[status(thm)],[733809,188,theory(equality)])).
% cnf(733952,negated_conjecture,($false),733951,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 67937
% # ...of these trivial : 30
% # ...subsumed : 61595
% # ...remaining for further processing: 6312
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 394
% # Backward-rewritten : 839
% # Generated clauses : 513084
% # ...of the previous two non-trivial : 483378
% # Contextual simplify-reflections : 73797
% # Paramodulations : 511489
% # Factorizations : 0
% # Equation resolutions : 210
% # Current number of processed clauses: 4481
% # Positive orientable unit clauses: 505
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 398
% # Non-unit-clauses : 3578
% # Current number of unprocessed clauses: 379741
% # ...number of literals in the above : 2701975
% # Clause-clause subsumption calls (NU) : 7497567
% # Rec. Clause-clause subsumption calls : 2258310
% # Unit Clause-clause subsumption calls : 548633
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 486
% # Indexed BW rewrite successes : 479
% # Backwards rewriting index: 1592 leaves, 2.71+/-9.275 terms/leaf
% # Paramod-from index: 750 leaves, 2.32+/-10.246 terms/leaf
% # Paramod-into index: 1466 leaves, 2.59+/-9.302 terms/leaf
% # -------------------------------------------------
% # User time : 35.841 s
% # System time : 0.684 s
% # Total time : 36.524 s
% # Maximum resident set size: 0 pages
% PrfWatch: 47.90 CPU 49.03 WC
% FINAL PrfWatch: 47.90 CPU 49.03 WC
% SZS output end Solution for /tmp/SystemOnTPTP18125/SEU003+1.tptp
%
%------------------------------------------------------------------------------