TSTP Solution File: SEU243+2 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU243+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art01.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 02:25:53 EST 2010

% Result   : Theorem 41.01s
% Output   : Solution 41.01s
% 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/SystemOnTPTP1475/SEU243+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP1475/SEU243+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP1475/SEU243+2.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 1571
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.90 CPU 2.02 WC
% PrfWatch: 3.44 CPU 4.08 WC
% PrfWatch: 5.20 CPU 6.09 WC
% PrfWatch: 7.20 CPU 8.10 WC
% PrfWatch: 9.18 CPU 10.10 WC
% PrfWatch: 11.17 CPU 12.11 WC
% PrfWatch: 13.16 CPU 14.12 WC
% PrfWatch: 15.15 CPU 16.12 WC
% PrfWatch: 17.14 CPU 18.13 WC
% PrfWatch: 19.13 CPU 20.14 WC
% PrfWatch: 21.11 CPU 22.14 WC
% PrfWatch: 23.10 CPU 24.15 WC
% PrfWatch: 25.09 CPU 26.16 WC
% PrfWatch: 27.09 CPU 28.16 WC
% # Preprocessing time     : 0.069 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 29.07 CPU 30.17 WC
% PrfWatch: 30.68 CPU 32.18 WC
% PrfWatch: 32.32 CPU 34.19 WC
% PrfWatch: 34.29 CPU 36.19 WC
% PrfWatch: 36.29 CPU 38.20 WC
% # SZS output start CNFRefutation.
% fof(31, axiom,![X1]:(relation(X1)=>(well_founded_relation(X1)<=>![X2]:~(((subset(X2,relation_field(X1))&~(X2=empty_set))&![X3]:~((in(X3,X2)&disjoint(fiber(X1,X3),X2))))))),file('/tmp/SRASS.s.p', d2_wellord1)).
% fof(107, axiom,![X1]:(relation(X1)=>![X2]:(is_well_founded_in(X1,X2)<=>![X3]:~(((subset(X3,X2)&~(X3=empty_set))&![X4]:~((in(X4,X3)&disjoint(fiber(X1,X4),X3))))))),file('/tmp/SRASS.s.p', d3_wellord1)).
% fof(296, conjecture,![X1]:(relation(X1)=>(well_founded_relation(X1)<=>is_well_founded_in(X1,relation_field(X1)))),file('/tmp/SRASS.s.p', t5_wellord1)).
% fof(297, negated_conjecture,~(![X1]:(relation(X1)=>(well_founded_relation(X1)<=>is_well_founded_in(X1,relation_field(X1))))),inference(assume_negation,[status(cth)],[296])).
% fof(462, plain,![X1]:(~(relation(X1))|((~(well_founded_relation(X1))|![X2]:((~(subset(X2,relation_field(X1)))|X2=empty_set)|?[X3]:(in(X3,X2)&disjoint(fiber(X1,X3),X2))))&(?[X2]:((subset(X2,relation_field(X1))&~(X2=empty_set))&![X3]:(~(in(X3,X2))|~(disjoint(fiber(X1,X3),X2))))|well_founded_relation(X1)))),inference(fof_nnf,[status(thm)],[31])).
% fof(463, plain,![X4]:(~(relation(X4))|((~(well_founded_relation(X4))|![X5]:((~(subset(X5,relation_field(X4)))|X5=empty_set)|?[X6]:(in(X6,X5)&disjoint(fiber(X4,X6),X5))))&(?[X7]:((subset(X7,relation_field(X4))&~(X7=empty_set))&![X8]:(~(in(X8,X7))|~(disjoint(fiber(X4,X8),X7))))|well_founded_relation(X4)))),inference(variable_rename,[status(thm)],[462])).
% fof(464, plain,![X4]:(~(relation(X4))|((~(well_founded_relation(X4))|![X5]:((~(subset(X5,relation_field(X4)))|X5=empty_set)|(in(esk16_2(X4,X5),X5)&disjoint(fiber(X4,esk16_2(X4,X5)),X5))))&(((subset(esk17_1(X4),relation_field(X4))&~(esk17_1(X4)=empty_set))&![X8]:(~(in(X8,esk17_1(X4)))|~(disjoint(fiber(X4,X8),esk17_1(X4)))))|well_founded_relation(X4)))),inference(skolemize,[status(esa)],[463])).
% fof(465, plain,![X4]:![X5]:![X8]:(((((~(in(X8,esk17_1(X4)))|~(disjoint(fiber(X4,X8),esk17_1(X4))))&(subset(esk17_1(X4),relation_field(X4))&~(esk17_1(X4)=empty_set)))|well_founded_relation(X4))&(((~(subset(X5,relation_field(X4)))|X5=empty_set)|(in(esk16_2(X4,X5),X5)&disjoint(fiber(X4,esk16_2(X4,X5)),X5)))|~(well_founded_relation(X4))))|~(relation(X4))),inference(shift_quantors,[status(thm)],[464])).
% fof(466, plain,![X4]:![X5]:![X8]:(((((~(in(X8,esk17_1(X4)))|~(disjoint(fiber(X4,X8),esk17_1(X4))))|well_founded_relation(X4))|~(relation(X4)))&(((subset(esk17_1(X4),relation_field(X4))|well_founded_relation(X4))|~(relation(X4)))&((~(esk17_1(X4)=empty_set)|well_founded_relation(X4))|~(relation(X4)))))&((((in(esk16_2(X4,X5),X5)|(~(subset(X5,relation_field(X4)))|X5=empty_set))|~(well_founded_relation(X4)))|~(relation(X4)))&(((disjoint(fiber(X4,esk16_2(X4,X5)),X5)|(~(subset(X5,relation_field(X4)))|X5=empty_set))|~(well_founded_relation(X4)))|~(relation(X4))))),inference(distribute,[status(thm)],[465])).
% cnf(467,plain,(X2=empty_set|disjoint(fiber(X1,esk16_2(X1,X2)),X2)|~relation(X1)|~well_founded_relation(X1)|~subset(X2,relation_field(X1))),inference(split_conjunct,[status(thm)],[466])).
% cnf(468,plain,(X2=empty_set|in(esk16_2(X1,X2),X2)|~relation(X1)|~well_founded_relation(X1)|~subset(X2,relation_field(X1))),inference(split_conjunct,[status(thm)],[466])).
% cnf(469,plain,(well_founded_relation(X1)|~relation(X1)|esk17_1(X1)!=empty_set),inference(split_conjunct,[status(thm)],[466])).
% cnf(470,plain,(well_founded_relation(X1)|subset(esk17_1(X1),relation_field(X1))|~relation(X1)),inference(split_conjunct,[status(thm)],[466])).
% cnf(471,plain,(well_founded_relation(X1)|~relation(X1)|~disjoint(fiber(X1,X2),esk17_1(X1))|~in(X2,esk17_1(X1))),inference(split_conjunct,[status(thm)],[466])).
% fof(885, plain,![X1]:(~(relation(X1))|![X2]:((~(is_well_founded_in(X1,X2))|![X3]:((~(subset(X3,X2))|X3=empty_set)|?[X4]:(in(X4,X3)&disjoint(fiber(X1,X4),X3))))&(?[X3]:((subset(X3,X2)&~(X3=empty_set))&![X4]:(~(in(X4,X3))|~(disjoint(fiber(X1,X4),X3))))|is_well_founded_in(X1,X2)))),inference(fof_nnf,[status(thm)],[107])).
% fof(886, plain,![X5]:(~(relation(X5))|![X6]:((~(is_well_founded_in(X5,X6))|![X7]:((~(subset(X7,X6))|X7=empty_set)|?[X8]:(in(X8,X7)&disjoint(fiber(X5,X8),X7))))&(?[X9]:((subset(X9,X6)&~(X9=empty_set))&![X10]:(~(in(X10,X9))|~(disjoint(fiber(X5,X10),X9))))|is_well_founded_in(X5,X6)))),inference(variable_rename,[status(thm)],[885])).
% fof(887, plain,![X5]:(~(relation(X5))|![X6]:((~(is_well_founded_in(X5,X6))|![X7]:((~(subset(X7,X6))|X7=empty_set)|(in(esk73_3(X5,X6,X7),X7)&disjoint(fiber(X5,esk73_3(X5,X6,X7)),X7))))&(((subset(esk74_2(X5,X6),X6)&~(esk74_2(X5,X6)=empty_set))&![X10]:(~(in(X10,esk74_2(X5,X6)))|~(disjoint(fiber(X5,X10),esk74_2(X5,X6)))))|is_well_founded_in(X5,X6)))),inference(skolemize,[status(esa)],[886])).
% fof(888, plain,![X5]:![X6]:![X7]:![X10]:(((((~(in(X10,esk74_2(X5,X6)))|~(disjoint(fiber(X5,X10),esk74_2(X5,X6))))&(subset(esk74_2(X5,X6),X6)&~(esk74_2(X5,X6)=empty_set)))|is_well_founded_in(X5,X6))&(((~(subset(X7,X6))|X7=empty_set)|(in(esk73_3(X5,X6,X7),X7)&disjoint(fiber(X5,esk73_3(X5,X6,X7)),X7)))|~(is_well_founded_in(X5,X6))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[887])).
% fof(889, plain,![X5]:![X6]:![X7]:![X10]:(((((~(in(X10,esk74_2(X5,X6)))|~(disjoint(fiber(X5,X10),esk74_2(X5,X6))))|is_well_founded_in(X5,X6))|~(relation(X5)))&(((subset(esk74_2(X5,X6),X6)|is_well_founded_in(X5,X6))|~(relation(X5)))&((~(esk74_2(X5,X6)=empty_set)|is_well_founded_in(X5,X6))|~(relation(X5)))))&((((in(esk73_3(X5,X6,X7),X7)|(~(subset(X7,X6))|X7=empty_set))|~(is_well_founded_in(X5,X6)))|~(relation(X5)))&(((disjoint(fiber(X5,esk73_3(X5,X6,X7)),X7)|(~(subset(X7,X6))|X7=empty_set))|~(is_well_founded_in(X5,X6)))|~(relation(X5))))),inference(distribute,[status(thm)],[888])).
% cnf(890,plain,(X3=empty_set|disjoint(fiber(X1,esk73_3(X1,X2,X3)),X3)|~relation(X1)|~is_well_founded_in(X1,X2)|~subset(X3,X2)),inference(split_conjunct,[status(thm)],[889])).
% cnf(891,plain,(X3=empty_set|in(esk73_3(X1,X2,X3),X3)|~relation(X1)|~is_well_founded_in(X1,X2)|~subset(X3,X2)),inference(split_conjunct,[status(thm)],[889])).
% cnf(892,plain,(is_well_founded_in(X1,X2)|~relation(X1)|esk74_2(X1,X2)!=empty_set),inference(split_conjunct,[status(thm)],[889])).
% cnf(893,plain,(is_well_founded_in(X1,X2)|subset(esk74_2(X1,X2),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[889])).
% cnf(894,plain,(is_well_founded_in(X1,X2)|~relation(X1)|~disjoint(fiber(X1,X3),esk74_2(X1,X2))|~in(X3,esk74_2(X1,X2))),inference(split_conjunct,[status(thm)],[889])).
% fof(1696, negated_conjecture,?[X1]:(relation(X1)&((~(well_founded_relation(X1))|~(is_well_founded_in(X1,relation_field(X1))))&(well_founded_relation(X1)|is_well_founded_in(X1,relation_field(X1))))),inference(fof_nnf,[status(thm)],[297])).
% fof(1697, negated_conjecture,?[X2]:(relation(X2)&((~(well_founded_relation(X2))|~(is_well_founded_in(X2,relation_field(X2))))&(well_founded_relation(X2)|is_well_founded_in(X2,relation_field(X2))))),inference(variable_rename,[status(thm)],[1696])).
% fof(1698, negated_conjecture,(relation(esk120_0)&((~(well_founded_relation(esk120_0))|~(is_well_founded_in(esk120_0,relation_field(esk120_0))))&(well_founded_relation(esk120_0)|is_well_founded_in(esk120_0,relation_field(esk120_0))))),inference(skolemize,[status(esa)],[1697])).
% cnf(1699,negated_conjecture,(is_well_founded_in(esk120_0,relation_field(esk120_0))|well_founded_relation(esk120_0)),inference(split_conjunct,[status(thm)],[1698])).
% cnf(1700,negated_conjecture,(~is_well_founded_in(esk120_0,relation_field(esk120_0))|~well_founded_relation(esk120_0)),inference(split_conjunct,[status(thm)],[1698])).
% cnf(1701,negated_conjecture,(relation(esk120_0)),inference(split_conjunct,[status(thm)],[1698])).
% cnf(4571,plain,(is_well_founded_in(X1,X2)|empty_set=esk74_2(X1,X2)|~relation(X1)|~in(esk16_2(X1,esk74_2(X1,X2)),esk74_2(X1,X2))|~well_founded_relation(X1)|~subset(esk74_2(X1,X2),relation_field(X1))),inference(spm,[status(thm)],[894,467,theory(equality)])).
% cnf(5737,plain,(well_founded_relation(X1)|empty_set=esk17_1(X1)|~relation(X1)|~in(esk73_3(X1,X2,esk17_1(X1)),esk17_1(X1))|~is_well_founded_in(X1,X2)|~subset(esk17_1(X1),X2)),inference(spm,[status(thm)],[471,890,theory(equality)])).
% cnf(230040,plain,(esk74_2(X1,X2)=empty_set|is_well_founded_in(X1,X2)|~well_founded_relation(X1)|~subset(esk74_2(X1,X2),relation_field(X1))|~relation(X1)),inference(csr,[status(thm)],[4571,468])).
% cnf(230041,plain,(is_well_founded_in(X1,X2)|~well_founded_relation(X1)|~subset(esk74_2(X1,X2),relation_field(X1))|~relation(X1)),inference(csr,[status(thm)],[230040,892])).
% cnf(230057,plain,(is_well_founded_in(X1,relation_field(X1))|~well_founded_relation(X1)|~relation(X1)),inference(spm,[status(thm)],[230041,893,theory(equality)])).
% cnf(230063,negated_conjecture,(~well_founded_relation(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[1700,230057,theory(equality)])).
% cnf(230075,negated_conjecture,(~well_founded_relation(esk120_0)|$false),inference(rw,[status(thm)],[230063,1701,theory(equality)])).
% cnf(230076,negated_conjecture,(~well_founded_relation(esk120_0)),inference(cn,[status(thm)],[230075,theory(equality)])).
% cnf(230083,negated_conjecture,(is_well_founded_in(esk120_0,relation_field(esk120_0))),inference(sr,[status(thm)],[1699,230076,theory(equality)])).
% cnf(533611,plain,(esk17_1(X1)=empty_set|well_founded_relation(X1)|~is_well_founded_in(X1,X2)|~subset(esk17_1(X1),X2)|~relation(X1)),inference(csr,[status(thm)],[5737,891])).
% cnf(533612,plain,(well_founded_relation(X1)|~is_well_founded_in(X1,X2)|~subset(esk17_1(X1),X2)|~relation(X1)),inference(csr,[status(thm)],[533611,469])).
% cnf(533649,plain,(well_founded_relation(X1)|~is_well_founded_in(X1,relation_field(X1))|~relation(X1)),inference(spm,[status(thm)],[533612,470,theory(equality)])).
% cnf(533669,negated_conjecture,(well_founded_relation(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[533649,230083,theory(equality)])).
% cnf(533680,negated_conjecture,(well_founded_relation(esk120_0)|$false),inference(rw,[status(thm)],[533669,1701,theory(equality)])).
% cnf(533681,negated_conjecture,(well_founded_relation(esk120_0)),inference(cn,[status(thm)],[533680,theory(equality)])).
% cnf(533682,negated_conjecture,($false),inference(sr,[status(thm)],[533681,230076,theory(equality)])).
% cnf(533683,negated_conjecture,($false),533682,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 31329
% # ...of these trivial                : 108
% # ...subsumed                        : 23628
% # ...remaining for further processing: 7593
% # Other redundant clauses eliminated : 1400
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 140
% # Backward-rewritten                 : 82
% # Generated clauses                  : 467800
% # ...of the previous two non-trivial : 456741
% # Contextual simplify-reflections    : 4347
% # Paramodulations                    : 466104
% # Factorizations                     : 26
% # Equation resolutions               : 1657
% # Current number of processed clauses: 6805
% #    Positive orientable unit clauses: 169
% #    Positive unorientable unit clauses: 6
% #    Negative unit clauses           : 1635
% #    Non-unit-clauses                : 4995
% # Current number of unprocessed clauses: 421323
% # ...number of literals in the above : 2260917
% # Clause-clause subsumption calls (NU) : 1011081
% # Rec. Clause-clause subsumption calls : 517078
% # Unit Clause-clause subsumption calls : 101738
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 199
% # Indexed BW rewrite successes       : 120
% # Backwards rewriting index:  4521 leaves,   1.71+/-2.510 terms/leaf
% # Paramod-from index:         1038 leaves,   1.13+/-0.843 terms/leaf
% # Paramod-into index:         3754 leaves,   1.70+/-2.336 terms/leaf
% # -------------------------------------------------
% # User time              : 26.250 s
% # System time            : 0.746 s
% # Total time             : 26.996 s
% # Maximum resident set size: 0 pages
% PrfWatch: 36.88 CPU 38.78 WC
% FINAL PrfWatch: 36.88 CPU 38.78 WC
% SZS output end Solution for /tmp/SystemOnTPTP1475/SEU243+2.tptp
% 
%------------------------------------------------------------------------------