TSTP Solution File: SEU388+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU388+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Thu Dec 30 04:35:53 EST 2010
% Result : Theorem 1.95s
% Output : Solution 1.95s
% 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/SystemOnTPTP1812/SEU388+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP1812/SEU388+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP1812/SEU388+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 1944
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.030 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(7, axiom,![X1]:![X2]:![X3]:((((~(empty_carrier(X2))&topological_space(X2))&top_str(X2))&element(X3,the_carrier(X2)))=>(in(X1,a_2_0_yellow19(X2,X3))<=>?[X4]:(point_neighbourhood(X4,X2,X3)&X1=X4))),file('/tmp/SRASS.s.p', fraenkel_a_2_0_yellow19)).
% fof(8, axiom,![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>neighborhood_system(X1,X2)=a_2_0_yellow19(X1,X2))),file('/tmp/SRASS.s.p', d1_yellow19)).
% fof(119, conjecture,![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(in(X3,neighborhood_system(X1,X2))<=>point_neighbourhood(X3,X1,X2)))),file('/tmp/SRASS.s.p', t3_yellow19)).
% fof(120, negated_conjecture,~(![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(in(X3,neighborhood_system(X1,X2))<=>point_neighbourhood(X3,X1,X2))))),inference(assume_negation,[status(cth)],[119])).
% fof(124, plain,![X1]:![X2]:![X3]:((((~(empty_carrier(X2))&topological_space(X2))&top_str(X2))&element(X3,the_carrier(X2)))=>(in(X1,a_2_0_yellow19(X2,X3))<=>?[X4]:(point_neighbourhood(X4,X2,X3)&X1=X4))),inference(fof_simplification,[status(thm)],[7,theory(equality)])).
% fof(125, plain,![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>neighborhood_system(X1,X2)=a_2_0_yellow19(X1,X2))),inference(fof_simplification,[status(thm)],[8,theory(equality)])).
% fof(178, negated_conjecture,~(![X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(in(X3,neighborhood_system(X1,X2))<=>point_neighbourhood(X3,X1,X2))))),inference(fof_simplification,[status(thm)],[120,theory(equality)])).
% fof(199, plain,![X1]:![X2]:![X3]:((((empty_carrier(X2)|~(topological_space(X2)))|~(top_str(X2)))|~(element(X3,the_carrier(X2))))|((~(in(X1,a_2_0_yellow19(X2,X3)))|?[X4]:(point_neighbourhood(X4,X2,X3)&X1=X4))&(![X4]:(~(point_neighbourhood(X4,X2,X3))|~(X1=X4))|in(X1,a_2_0_yellow19(X2,X3))))),inference(fof_nnf,[status(thm)],[124])).
% fof(200, plain,![X5]:![X6]:![X7]:((((empty_carrier(X6)|~(topological_space(X6)))|~(top_str(X6)))|~(element(X7,the_carrier(X6))))|((~(in(X5,a_2_0_yellow19(X6,X7)))|?[X8]:(point_neighbourhood(X8,X6,X7)&X5=X8))&(![X9]:(~(point_neighbourhood(X9,X6,X7))|~(X5=X9))|in(X5,a_2_0_yellow19(X6,X7))))),inference(variable_rename,[status(thm)],[199])).
% fof(201, plain,![X5]:![X6]:![X7]:((((empty_carrier(X6)|~(topological_space(X6)))|~(top_str(X6)))|~(element(X7,the_carrier(X6))))|((~(in(X5,a_2_0_yellow19(X6,X7)))|(point_neighbourhood(esk4_3(X5,X6,X7),X6,X7)&X5=esk4_3(X5,X6,X7)))&(![X9]:(~(point_neighbourhood(X9,X6,X7))|~(X5=X9))|in(X5,a_2_0_yellow19(X6,X7))))),inference(skolemize,[status(esa)],[200])).
% fof(202, plain,![X5]:![X6]:![X7]:![X9]:((((~(point_neighbourhood(X9,X6,X7))|~(X5=X9))|in(X5,a_2_0_yellow19(X6,X7)))&(~(in(X5,a_2_0_yellow19(X6,X7)))|(point_neighbourhood(esk4_3(X5,X6,X7),X6,X7)&X5=esk4_3(X5,X6,X7))))|(((empty_carrier(X6)|~(topological_space(X6)))|~(top_str(X6)))|~(element(X7,the_carrier(X6))))),inference(shift_quantors,[status(thm)],[201])).
% fof(203, plain,![X5]:![X6]:![X7]:![X9]:((((~(point_neighbourhood(X9,X6,X7))|~(X5=X9))|in(X5,a_2_0_yellow19(X6,X7)))|(((empty_carrier(X6)|~(topological_space(X6)))|~(top_str(X6)))|~(element(X7,the_carrier(X6)))))&(((point_neighbourhood(esk4_3(X5,X6,X7),X6,X7)|~(in(X5,a_2_0_yellow19(X6,X7))))|(((empty_carrier(X6)|~(topological_space(X6)))|~(top_str(X6)))|~(element(X7,the_carrier(X6)))))&((X5=esk4_3(X5,X6,X7)|~(in(X5,a_2_0_yellow19(X6,X7))))|(((empty_carrier(X6)|~(topological_space(X6)))|~(top_str(X6)))|~(element(X7,the_carrier(X6))))))),inference(distribute,[status(thm)],[202])).
% cnf(204,plain,(empty_carrier(X2)|X3=esk4_3(X3,X2,X1)|~element(X1,the_carrier(X2))|~top_str(X2)|~topological_space(X2)|~in(X3,a_2_0_yellow19(X2,X1))),inference(split_conjunct,[status(thm)],[203])).
% cnf(205,plain,(empty_carrier(X2)|point_neighbourhood(esk4_3(X3,X2,X1),X2,X1)|~element(X1,the_carrier(X2))|~top_str(X2)|~topological_space(X2)|~in(X3,a_2_0_yellow19(X2,X1))),inference(split_conjunct,[status(thm)],[203])).
% cnf(206,plain,(empty_carrier(X2)|in(X3,a_2_0_yellow19(X2,X1))|~element(X1,the_carrier(X2))|~top_str(X2)|~topological_space(X2)|X3!=X4|~point_neighbourhood(X4,X2,X1)),inference(split_conjunct,[status(thm)],[203])).
% fof(207, plain,![X1]:(((empty_carrier(X1)|~(topological_space(X1)))|~(top_str(X1)))|![X2]:(~(element(X2,the_carrier(X1)))|neighborhood_system(X1,X2)=a_2_0_yellow19(X1,X2))),inference(fof_nnf,[status(thm)],[125])).
% fof(208, plain,![X3]:(((empty_carrier(X3)|~(topological_space(X3)))|~(top_str(X3)))|![X4]:(~(element(X4,the_carrier(X3)))|neighborhood_system(X3,X4)=a_2_0_yellow19(X3,X4))),inference(variable_rename,[status(thm)],[207])).
% fof(209, plain,![X3]:![X4]:((~(element(X4,the_carrier(X3)))|neighborhood_system(X3,X4)=a_2_0_yellow19(X3,X4))|((empty_carrier(X3)|~(topological_space(X3)))|~(top_str(X3)))),inference(shift_quantors,[status(thm)],[208])).
% cnf(210,plain,(empty_carrier(X1)|neighborhood_system(X1,X2)=a_2_0_yellow19(X1,X2)|~top_str(X1)|~topological_space(X1)|~element(X2,the_carrier(X1))),inference(split_conjunct,[status(thm)],[209])).
% fof(846, negated_conjecture,?[X1]:(((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))&?[X2]:(element(X2,the_carrier(X1))&?[X3]:((~(in(X3,neighborhood_system(X1,X2)))|~(point_neighbourhood(X3,X1,X2)))&(in(X3,neighborhood_system(X1,X2))|point_neighbourhood(X3,X1,X2))))),inference(fof_nnf,[status(thm)],[178])).
% fof(847, negated_conjecture,?[X4]:(((~(empty_carrier(X4))&topological_space(X4))&top_str(X4))&?[X5]:(element(X5,the_carrier(X4))&?[X6]:((~(in(X6,neighborhood_system(X4,X5)))|~(point_neighbourhood(X6,X4,X5)))&(in(X6,neighborhood_system(X4,X5))|point_neighbourhood(X6,X4,X5))))),inference(variable_rename,[status(thm)],[846])).
% fof(848, negated_conjecture,(((~(empty_carrier(esk44_0))&topological_space(esk44_0))&top_str(esk44_0))&(element(esk45_0,the_carrier(esk44_0))&((~(in(esk46_0,neighborhood_system(esk44_0,esk45_0)))|~(point_neighbourhood(esk46_0,esk44_0,esk45_0)))&(in(esk46_0,neighborhood_system(esk44_0,esk45_0))|point_neighbourhood(esk46_0,esk44_0,esk45_0))))),inference(skolemize,[status(esa)],[847])).
% cnf(849,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)|in(esk46_0,neighborhood_system(esk44_0,esk45_0))),inference(split_conjunct,[status(thm)],[848])).
% cnf(850,negated_conjecture,(~point_neighbourhood(esk46_0,esk44_0,esk45_0)|~in(esk46_0,neighborhood_system(esk44_0,esk45_0))),inference(split_conjunct,[status(thm)],[848])).
% cnf(851,negated_conjecture,(element(esk45_0,the_carrier(esk44_0))),inference(split_conjunct,[status(thm)],[848])).
% cnf(852,negated_conjecture,(top_str(esk44_0)),inference(split_conjunct,[status(thm)],[848])).
% cnf(853,negated_conjecture,(topological_space(esk44_0)),inference(split_conjunct,[status(thm)],[848])).
% cnf(854,negated_conjecture,(~empty_carrier(esk44_0)),inference(split_conjunct,[status(thm)],[848])).
% cnf(1267,plain,(esk4_3(X1,X2,X3)=X1|empty_carrier(X2)|~element(X3,the_carrier(X2))|~topological_space(X2)|~top_str(X2)|~in(X1,neighborhood_system(X2,X3))),inference(spm,[status(thm)],[204,210,theory(equality)])).
% cnf(1401,plain,(empty_carrier(X1)|in(X2,a_2_0_yellow19(X1,X3))|~point_neighbourhood(X2,X1,X3)|~element(X3,the_carrier(X1))|~topological_space(X1)|~top_str(X1)),inference(er,[status(thm)],[206,theory(equality)])).
% cnf(3309,negated_conjecture,(esk4_3(esk46_0,esk44_0,esk45_0)=esk46_0|empty_carrier(esk44_0)|point_neighbourhood(esk46_0,esk44_0,esk45_0)|~element(esk45_0,the_carrier(esk44_0))|~topological_space(esk44_0)|~top_str(esk44_0)),inference(spm,[status(thm)],[1267,849,theory(equality)])).
% cnf(3317,negated_conjecture,(esk4_3(esk46_0,esk44_0,esk45_0)=esk46_0|empty_carrier(esk44_0)|point_neighbourhood(esk46_0,esk44_0,esk45_0)|$false|~topological_space(esk44_0)|~top_str(esk44_0)),inference(rw,[status(thm)],[3309,851,theory(equality)])).
% cnf(3318,negated_conjecture,(esk4_3(esk46_0,esk44_0,esk45_0)=esk46_0|empty_carrier(esk44_0)|point_neighbourhood(esk46_0,esk44_0,esk45_0)|$false|$false|~top_str(esk44_0)),inference(rw,[status(thm)],[3317,853,theory(equality)])).
% cnf(3319,negated_conjecture,(esk4_3(esk46_0,esk44_0,esk45_0)=esk46_0|empty_carrier(esk44_0)|point_neighbourhood(esk46_0,esk44_0,esk45_0)|$false|$false|$false),inference(rw,[status(thm)],[3318,852,theory(equality)])).
% cnf(3320,negated_conjecture,(esk4_3(esk46_0,esk44_0,esk45_0)=esk46_0|empty_carrier(esk44_0)|point_neighbourhood(esk46_0,esk44_0,esk45_0)),inference(cn,[status(thm)],[3319,theory(equality)])).
% cnf(3321,negated_conjecture,(esk4_3(esk46_0,esk44_0,esk45_0)=esk46_0|point_neighbourhood(esk46_0,esk44_0,esk45_0)),inference(sr,[status(thm)],[3320,854,theory(equality)])).
% cnf(3322,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)|empty_carrier(esk44_0)|~element(esk45_0,the_carrier(esk44_0))|~topological_space(esk44_0)|~top_str(esk44_0)|~in(esk46_0,a_2_0_yellow19(esk44_0,esk45_0))),inference(spm,[status(thm)],[205,3321,theory(equality)])).
% cnf(3323,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)|empty_carrier(esk44_0)|$false|~topological_space(esk44_0)|~top_str(esk44_0)|~in(esk46_0,a_2_0_yellow19(esk44_0,esk45_0))),inference(rw,[status(thm)],[3322,851,theory(equality)])).
% cnf(3324,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)|empty_carrier(esk44_0)|$false|$false|~top_str(esk44_0)|~in(esk46_0,a_2_0_yellow19(esk44_0,esk45_0))),inference(rw,[status(thm)],[3323,853,theory(equality)])).
% cnf(3325,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)|empty_carrier(esk44_0)|$false|$false|$false|~in(esk46_0,a_2_0_yellow19(esk44_0,esk45_0))),inference(rw,[status(thm)],[3324,852,theory(equality)])).
% cnf(3326,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)|empty_carrier(esk44_0)|~in(esk46_0,a_2_0_yellow19(esk44_0,esk45_0))),inference(cn,[status(thm)],[3325,theory(equality)])).
% cnf(3327,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)|~in(esk46_0,a_2_0_yellow19(esk44_0,esk45_0))),inference(sr,[status(thm)],[3326,854,theory(equality)])).
% cnf(3328,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)|empty_carrier(esk44_0)|~in(esk46_0,neighborhood_system(esk44_0,esk45_0))|~element(esk45_0,the_carrier(esk44_0))|~topological_space(esk44_0)|~top_str(esk44_0)),inference(spm,[status(thm)],[3327,210,theory(equality)])).
% cnf(3330,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)|empty_carrier(esk44_0)|~in(esk46_0,neighborhood_system(esk44_0,esk45_0))|$false|~topological_space(esk44_0)|~top_str(esk44_0)),inference(rw,[status(thm)],[3328,851,theory(equality)])).
% cnf(3331,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)|empty_carrier(esk44_0)|~in(esk46_0,neighborhood_system(esk44_0,esk45_0))|$false|$false|~top_str(esk44_0)),inference(rw,[status(thm)],[3330,853,theory(equality)])).
% cnf(3332,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)|empty_carrier(esk44_0)|~in(esk46_0,neighborhood_system(esk44_0,esk45_0))|$false|$false|$false),inference(rw,[status(thm)],[3331,852,theory(equality)])).
% cnf(3333,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)|empty_carrier(esk44_0)|~in(esk46_0,neighborhood_system(esk44_0,esk45_0))),inference(cn,[status(thm)],[3332,theory(equality)])).
% cnf(3334,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)|~in(esk46_0,neighborhood_system(esk44_0,esk45_0))),inference(sr,[status(thm)],[3333,854,theory(equality)])).
% cnf(3335,negated_conjecture,(point_neighbourhood(esk46_0,esk44_0,esk45_0)),inference(csr,[status(thm)],[3334,849])).
% cnf(3339,negated_conjecture,($false|~in(esk46_0,neighborhood_system(esk44_0,esk45_0))),inference(rw,[status(thm)],[850,3335,theory(equality)])).
% cnf(3340,negated_conjecture,(~in(esk46_0,neighborhood_system(esk44_0,esk45_0))),inference(cn,[status(thm)],[3339,theory(equality)])).
% cnf(6285,plain,(empty_carrier(X1)|in(X2,neighborhood_system(X1,X3))|~point_neighbourhood(X2,X1,X3)|~element(X3,the_carrier(X1))|~topological_space(X1)|~top_str(X1)),inference(spm,[status(thm)],[1401,210,theory(equality)])).
% cnf(6291,negated_conjecture,(empty_carrier(esk44_0)|~point_neighbourhood(esk46_0,esk44_0,esk45_0)|~element(esk45_0,the_carrier(esk44_0))|~topological_space(esk44_0)|~top_str(esk44_0)),inference(spm,[status(thm)],[3340,6285,theory(equality)])).
% cnf(6300,negated_conjecture,(empty_carrier(esk44_0)|$false|~element(esk45_0,the_carrier(esk44_0))|~topological_space(esk44_0)|~top_str(esk44_0)),inference(rw,[status(thm)],[6291,3335,theory(equality)])).
% cnf(6301,negated_conjecture,(empty_carrier(esk44_0)|$false|$false|~topological_space(esk44_0)|~top_str(esk44_0)),inference(rw,[status(thm)],[6300,851,theory(equality)])).
% cnf(6302,negated_conjecture,(empty_carrier(esk44_0)|$false|$false|$false|~top_str(esk44_0)),inference(rw,[status(thm)],[6301,853,theory(equality)])).
% cnf(6303,negated_conjecture,(empty_carrier(esk44_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[6302,852,theory(equality)])).
% cnf(6304,negated_conjecture,(empty_carrier(esk44_0)),inference(cn,[status(thm)],[6303,theory(equality)])).
% cnf(6305,negated_conjecture,($false),inference(sr,[status(thm)],[6304,854,theory(equality)])).
% cnf(6306,negated_conjecture,($false),6305,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1605
% # ...of these trivial : 50
% # ...subsumed : 671
% # ...remaining for further processing: 884
% # Other redundant clauses eliminated : 3
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 67
% # Backward-rewritten : 33
% # Generated clauses : 3675
% # ...of the previous two non-trivial : 3423
% # Contextual simplify-reflections : 914
% # Paramodulations : 3616
% # Factorizations : 4
% # Equation resolutions : 10
% # Current number of processed clauses: 755
% # Positive orientable unit clauses: 144
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 35
% # Non-unit-clauses : 576
% # Current number of unprocessed clauses: 1941
% # ...number of literals in the above : 10697
% # Clause-clause subsumption calls (NU) : 62501
% # Rec. Clause-clause subsumption calls : 21737
% # Unit Clause-clause subsumption calls : 3687
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 46
% # Indexed BW rewrite successes : 19
% # Backwards rewriting index: 638 leaves, 1.17+/-0.589 terms/leaf
% # Paramod-from index: 374 leaves, 1.04+/-0.202 terms/leaf
% # Paramod-into index: 576 leaves, 1.14+/-0.470 terms/leaf
% # -------------------------------------------------
% # User time : 0.284 s
% # System time : 0.014 s
% # Total time : 0.298 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.48 CPU 0.54 WC
% FINAL PrfWatch: 0.48 CPU 0.54 WC
% SZS output end Solution for /tmp/SystemOnTPTP1812/SEU388+1.tptp
%
%------------------------------------------------------------------------------