TSTP Solution File: SEU324+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU324+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 03:37:38 EST 2010
% Result : Theorem 1.31s
% Output : Solution 1.31s
% 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/SystemOnTPTP6749/SEU324+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP6749/SEU324+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP6749/SEU324+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 6881
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(4, axiom,![X1]:![X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(the_carrier(X1))))=>open_subset(interior(X1,X2),X1)),file('/tmp/SRASS.s.p', fc6_tops_1)).
% fof(8, axiom,![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>interior(X1,X2)=subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))))),file('/tmp/SRASS.s.p', d1_tops_1)).
% fof(11, axiom,![X1]:![X2]:(element(X2,powerset(X1))=>subset_complement(X1,subset_complement(X1,X2))=X2),file('/tmp/SRASS.s.p', involutiveness_k3_subset_1)).
% fof(12, axiom,![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>((closed_subset(X2,X1)=>topstr_closure(X1,X2)=X2)&((topological_space(X1)&topstr_closure(X1,X2)=X2)=>closed_subset(X2,X1))))),file('/tmp/SRASS.s.p', t52_pre_topc)).
% fof(14, axiom,![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>(open_subset(X2,X1)<=>closed_subset(subset_complement(the_carrier(X1),X2),X1)))),file('/tmp/SRASS.s.p', t30_tops_1)).
% fof(18, axiom,![X1]:![X2]:(element(X2,powerset(X1))=>element(subset_complement(X1,X2),powerset(X1))),file('/tmp/SRASS.s.p', dt_k3_subset_1)).
% fof(25, conjecture,![X1]:((topological_space(X1)&top_str(X1))=>![X2]:(top_str(X2)=>![X3]:(element(X3,powerset(the_carrier(X1)))=>![X4]:(element(X4,powerset(the_carrier(X2)))=>((open_subset(X4,X2)=>interior(X2,X4)=X4)&(interior(X1,X3)=X3=>open_subset(X3,X1))))))),file('/tmp/SRASS.s.p', t55_tops_1)).
% fof(26, negated_conjecture,~(![X1]:((topological_space(X1)&top_str(X1))=>![X2]:(top_str(X2)=>![X3]:(element(X3,powerset(the_carrier(X1)))=>![X4]:(element(X4,powerset(the_carrier(X2)))=>((open_subset(X4,X2)=>interior(X2,X4)=X4)&(interior(X1,X3)=X3=>open_subset(X3,X1)))))))),inference(assume_negation,[status(cth)],[25])).
% fof(36, plain,![X1]:![X2]:(((~(topological_space(X1))|~(top_str(X1)))|~(element(X2,powerset(the_carrier(X1)))))|open_subset(interior(X1,X2),X1)),inference(fof_nnf,[status(thm)],[4])).
% fof(37, plain,![X3]:![X4]:(((~(topological_space(X3))|~(top_str(X3)))|~(element(X4,powerset(the_carrier(X3)))))|open_subset(interior(X3,X4),X3)),inference(variable_rename,[status(thm)],[36])).
% cnf(38,plain,(open_subset(interior(X1,X2),X1)|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1)),inference(split_conjunct,[status(thm)],[37])).
% fof(58, plain,![X1]:(~(top_str(X1))|![X2]:(~(element(X2,powerset(the_carrier(X1))))|interior(X1,X2)=subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))))),inference(fof_nnf,[status(thm)],[8])).
% fof(59, plain,![X3]:(~(top_str(X3))|![X4]:(~(element(X4,powerset(the_carrier(X3))))|interior(X3,X4)=subset_complement(the_carrier(X3),topstr_closure(X3,subset_complement(the_carrier(X3),X4))))),inference(variable_rename,[status(thm)],[58])).
% fof(60, plain,![X3]:![X4]:((~(element(X4,powerset(the_carrier(X3))))|interior(X3,X4)=subset_complement(the_carrier(X3),topstr_closure(X3,subset_complement(the_carrier(X3),X4))))|~(top_str(X3))),inference(shift_quantors,[status(thm)],[59])).
% cnf(61,plain,(interior(X1,X2)=subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2)))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))),inference(split_conjunct,[status(thm)],[60])).
% fof(68, plain,![X1]:![X2]:(~(element(X2,powerset(X1)))|subset_complement(X1,subset_complement(X1,X2))=X2),inference(fof_nnf,[status(thm)],[11])).
% fof(69, plain,![X3]:![X4]:(~(element(X4,powerset(X3)))|subset_complement(X3,subset_complement(X3,X4))=X4),inference(variable_rename,[status(thm)],[68])).
% cnf(70,plain,(subset_complement(X1,subset_complement(X1,X2))=X2|~element(X2,powerset(X1))),inference(split_conjunct,[status(thm)],[69])).
% fof(71, plain,![X1]:(~(top_str(X1))|![X2]:(~(element(X2,powerset(the_carrier(X1))))|((~(closed_subset(X2,X1))|topstr_closure(X1,X2)=X2)&((~(topological_space(X1))|~(topstr_closure(X1,X2)=X2))|closed_subset(X2,X1))))),inference(fof_nnf,[status(thm)],[12])).
% fof(72, plain,![X3]:(~(top_str(X3))|![X4]:(~(element(X4,powerset(the_carrier(X3))))|((~(closed_subset(X4,X3))|topstr_closure(X3,X4)=X4)&((~(topological_space(X3))|~(topstr_closure(X3,X4)=X4))|closed_subset(X4,X3))))),inference(variable_rename,[status(thm)],[71])).
% fof(73, plain,![X3]:![X4]:((~(element(X4,powerset(the_carrier(X3))))|((~(closed_subset(X4,X3))|topstr_closure(X3,X4)=X4)&((~(topological_space(X3))|~(topstr_closure(X3,X4)=X4))|closed_subset(X4,X3))))|~(top_str(X3))),inference(shift_quantors,[status(thm)],[72])).
% fof(74, plain,![X3]:![X4]:((((~(closed_subset(X4,X3))|topstr_closure(X3,X4)=X4)|~(element(X4,powerset(the_carrier(X3)))))|~(top_str(X3)))&((((~(topological_space(X3))|~(topstr_closure(X3,X4)=X4))|closed_subset(X4,X3))|~(element(X4,powerset(the_carrier(X3)))))|~(top_str(X3)))),inference(distribute,[status(thm)],[73])).
% cnf(76,plain,(topstr_closure(X1,X2)=X2|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~closed_subset(X2,X1)),inference(split_conjunct,[status(thm)],[74])).
% fof(80, plain,![X1]:(~(top_str(X1))|![X2]:(~(element(X2,powerset(the_carrier(X1))))|((~(open_subset(X2,X1))|closed_subset(subset_complement(the_carrier(X1),X2),X1))&(~(closed_subset(subset_complement(the_carrier(X1),X2),X1))|open_subset(X2,X1))))),inference(fof_nnf,[status(thm)],[14])).
% fof(81, plain,![X3]:(~(top_str(X3))|![X4]:(~(element(X4,powerset(the_carrier(X3))))|((~(open_subset(X4,X3))|closed_subset(subset_complement(the_carrier(X3),X4),X3))&(~(closed_subset(subset_complement(the_carrier(X3),X4),X3))|open_subset(X4,X3))))),inference(variable_rename,[status(thm)],[80])).
% fof(82, plain,![X3]:![X4]:((~(element(X4,powerset(the_carrier(X3))))|((~(open_subset(X4,X3))|closed_subset(subset_complement(the_carrier(X3),X4),X3))&(~(closed_subset(subset_complement(the_carrier(X3),X4),X3))|open_subset(X4,X3))))|~(top_str(X3))),inference(shift_quantors,[status(thm)],[81])).
% fof(83, plain,![X3]:![X4]:((((~(open_subset(X4,X3))|closed_subset(subset_complement(the_carrier(X3),X4),X3))|~(element(X4,powerset(the_carrier(X3)))))|~(top_str(X3)))&(((~(closed_subset(subset_complement(the_carrier(X3),X4),X3))|open_subset(X4,X3))|~(element(X4,powerset(the_carrier(X3)))))|~(top_str(X3)))),inference(distribute,[status(thm)],[82])).
% cnf(85,plain,(closed_subset(subset_complement(the_carrier(X1),X2),X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~open_subset(X2,X1)),inference(split_conjunct,[status(thm)],[83])).
% fof(94, plain,![X1]:![X2]:(~(element(X2,powerset(X1)))|element(subset_complement(X1,X2),powerset(X1))),inference(fof_nnf,[status(thm)],[18])).
% fof(95, plain,![X3]:![X4]:(~(element(X4,powerset(X3)))|element(subset_complement(X3,X4),powerset(X3))),inference(variable_rename,[status(thm)],[94])).
% cnf(96,plain,(element(subset_complement(X1,X2),powerset(X1))|~element(X2,powerset(X1))),inference(split_conjunct,[status(thm)],[95])).
% fof(108, negated_conjecture,?[X1]:((topological_space(X1)&top_str(X1))&?[X2]:(top_str(X2)&?[X3]:(element(X3,powerset(the_carrier(X1)))&?[X4]:(element(X4,powerset(the_carrier(X2)))&((open_subset(X4,X2)&~(interior(X2,X4)=X4))|(interior(X1,X3)=X3&~(open_subset(X3,X1)))))))),inference(fof_nnf,[status(thm)],[26])).
% fof(109, negated_conjecture,?[X5]:((topological_space(X5)&top_str(X5))&?[X6]:(top_str(X6)&?[X7]:(element(X7,powerset(the_carrier(X5)))&?[X8]:(element(X8,powerset(the_carrier(X6)))&((open_subset(X8,X6)&~(interior(X6,X8)=X8))|(interior(X5,X7)=X7&~(open_subset(X7,X5)))))))),inference(variable_rename,[status(thm)],[108])).
% fof(110, negated_conjecture,((topological_space(esk7_0)&top_str(esk7_0))&(top_str(esk8_0)&(element(esk9_0,powerset(the_carrier(esk7_0)))&(element(esk10_0,powerset(the_carrier(esk8_0)))&((open_subset(esk10_0,esk8_0)&~(interior(esk8_0,esk10_0)=esk10_0))|(interior(esk7_0,esk9_0)=esk9_0&~(open_subset(esk9_0,esk7_0)))))))),inference(skolemize,[status(esa)],[109])).
% fof(111, negated_conjecture,((topological_space(esk7_0)&top_str(esk7_0))&(top_str(esk8_0)&(element(esk9_0,powerset(the_carrier(esk7_0)))&(element(esk10_0,powerset(the_carrier(esk8_0)))&(((interior(esk7_0,esk9_0)=esk9_0|open_subset(esk10_0,esk8_0))&(~(open_subset(esk9_0,esk7_0))|open_subset(esk10_0,esk8_0)))&((interior(esk7_0,esk9_0)=esk9_0|~(interior(esk8_0,esk10_0)=esk10_0))&(~(open_subset(esk9_0,esk7_0))|~(interior(esk8_0,esk10_0)=esk10_0)))))))),inference(distribute,[status(thm)],[110])).
% cnf(112,negated_conjecture,(interior(esk8_0,esk10_0)!=esk10_0|~open_subset(esk9_0,esk7_0)),inference(split_conjunct,[status(thm)],[111])).
% cnf(113,negated_conjecture,(interior(esk7_0,esk9_0)=esk9_0|interior(esk8_0,esk10_0)!=esk10_0),inference(split_conjunct,[status(thm)],[111])).
% cnf(114,negated_conjecture,(open_subset(esk10_0,esk8_0)|~open_subset(esk9_0,esk7_0)),inference(split_conjunct,[status(thm)],[111])).
% cnf(115,negated_conjecture,(open_subset(esk10_0,esk8_0)|interior(esk7_0,esk9_0)=esk9_0),inference(split_conjunct,[status(thm)],[111])).
% cnf(116,negated_conjecture,(element(esk10_0,powerset(the_carrier(esk8_0)))),inference(split_conjunct,[status(thm)],[111])).
% cnf(117,negated_conjecture,(element(esk9_0,powerset(the_carrier(esk7_0)))),inference(split_conjunct,[status(thm)],[111])).
% cnf(118,negated_conjecture,(top_str(esk8_0)),inference(split_conjunct,[status(thm)],[111])).
% cnf(119,negated_conjecture,(top_str(esk7_0)),inference(split_conjunct,[status(thm)],[111])).
% cnf(120,negated_conjecture,(topological_space(esk7_0)),inference(split_conjunct,[status(thm)],[111])).
% cnf(126,negated_conjecture,(element(subset_complement(the_carrier(esk8_0),esk10_0),powerset(the_carrier(esk8_0)))),inference(spm,[status(thm)],[96,116,theory(equality)])).
% cnf(136,negated_conjecture,(open_subset(interior(esk7_0,esk9_0),esk7_0)|~topological_space(esk7_0)|~top_str(esk7_0)),inference(spm,[status(thm)],[38,117,theory(equality)])).
% cnf(143,negated_conjecture,(open_subset(interior(esk7_0,esk9_0),esk7_0)|$false|~top_str(esk7_0)),inference(rw,[status(thm)],[136,120,theory(equality)])).
% cnf(144,negated_conjecture,(open_subset(interior(esk7_0,esk9_0),esk7_0)|$false|$false),inference(rw,[status(thm)],[143,119,theory(equality)])).
% cnf(145,negated_conjecture,(open_subset(interior(esk7_0,esk9_0),esk7_0)),inference(cn,[status(thm)],[144,theory(equality)])).
% cnf(146,negated_conjecture,(subset_complement(the_carrier(esk8_0),subset_complement(the_carrier(esk8_0),esk10_0))=esk10_0),inference(spm,[status(thm)],[70,116,theory(equality)])).
% cnf(193,negated_conjecture,(closed_subset(subset_complement(the_carrier(esk8_0),esk10_0),esk8_0)|~open_subset(esk10_0,esk8_0)|~top_str(esk8_0)),inference(spm,[status(thm)],[85,116,theory(equality)])).
% cnf(199,negated_conjecture,(closed_subset(subset_complement(the_carrier(esk8_0),esk10_0),esk8_0)|~open_subset(esk10_0,esk8_0)|$false),inference(rw,[status(thm)],[193,118,theory(equality)])).
% cnf(200,negated_conjecture,(closed_subset(subset_complement(the_carrier(esk8_0),esk10_0),esk8_0)|~open_subset(esk10_0,esk8_0)),inference(cn,[status(thm)],[199,theory(equality)])).
% cnf(224,negated_conjecture,(subset_complement(the_carrier(esk8_0),topstr_closure(esk8_0,subset_complement(the_carrier(esk8_0),esk10_0)))=interior(esk8_0,esk10_0)|~top_str(esk8_0)),inference(spm,[status(thm)],[61,116,theory(equality)])).
% cnf(230,negated_conjecture,(subset_complement(the_carrier(esk8_0),topstr_closure(esk8_0,subset_complement(the_carrier(esk8_0),esk10_0)))=interior(esk8_0,esk10_0)|$false),inference(rw,[status(thm)],[224,118,theory(equality)])).
% cnf(231,negated_conjecture,(subset_complement(the_carrier(esk8_0),topstr_closure(esk8_0,subset_complement(the_carrier(esk8_0),esk10_0)))=interior(esk8_0,esk10_0)),inference(cn,[status(thm)],[230,theory(equality)])).
% cnf(247,negated_conjecture,(open_subset(esk9_0,esk7_0)|open_subset(esk10_0,esk8_0)),inference(spm,[status(thm)],[145,115,theory(equality)])).
% cnf(282,negated_conjecture,(open_subset(esk10_0,esk8_0)),inference(csr,[status(thm)],[247,114])).
% cnf(325,negated_conjecture,(topstr_closure(esk8_0,subset_complement(the_carrier(esk8_0),esk10_0))=subset_complement(the_carrier(esk8_0),esk10_0)|~closed_subset(subset_complement(the_carrier(esk8_0),esk10_0),esk8_0)|~top_str(esk8_0)),inference(spm,[status(thm)],[76,126,theory(equality)])).
% cnf(334,negated_conjecture,(topstr_closure(esk8_0,subset_complement(the_carrier(esk8_0),esk10_0))=subset_complement(the_carrier(esk8_0),esk10_0)|~closed_subset(subset_complement(the_carrier(esk8_0),esk10_0),esk8_0)|$false),inference(rw,[status(thm)],[325,118,theory(equality)])).
% cnf(335,negated_conjecture,(topstr_closure(esk8_0,subset_complement(the_carrier(esk8_0),esk10_0))=subset_complement(the_carrier(esk8_0),esk10_0)|~closed_subset(subset_complement(the_carrier(esk8_0),esk10_0),esk8_0)),inference(cn,[status(thm)],[334,theory(equality)])).
% cnf(1337,negated_conjecture,(closed_subset(subset_complement(the_carrier(esk8_0),esk10_0),esk8_0)|$false),inference(rw,[status(thm)],[200,282,theory(equality)])).
% cnf(1338,negated_conjecture,(closed_subset(subset_complement(the_carrier(esk8_0),esk10_0),esk8_0)),inference(cn,[status(thm)],[1337,theory(equality)])).
% cnf(6412,negated_conjecture,(topstr_closure(esk8_0,subset_complement(the_carrier(esk8_0),esk10_0))=subset_complement(the_carrier(esk8_0),esk10_0)|$false),inference(rw,[status(thm)],[335,1338,theory(equality)])).
% cnf(6413,negated_conjecture,(topstr_closure(esk8_0,subset_complement(the_carrier(esk8_0),esk10_0))=subset_complement(the_carrier(esk8_0),esk10_0)),inference(cn,[status(thm)],[6412,theory(equality)])).
% cnf(6424,negated_conjecture,(esk10_0=interior(esk8_0,esk10_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[231,6413,theory(equality)]),146,theory(equality)])).
% cnf(6543,negated_conjecture,($false|~open_subset(esk9_0,esk7_0)),inference(rw,[status(thm)],[112,6424,theory(equality)])).
% cnf(6544,negated_conjecture,(~open_subset(esk9_0,esk7_0)),inference(cn,[status(thm)],[6543,theory(equality)])).
% cnf(6545,negated_conjecture,(interior(esk7_0,esk9_0)=esk9_0|$false),inference(rw,[status(thm)],[113,6424,theory(equality)])).
% cnf(6546,negated_conjecture,(interior(esk7_0,esk9_0)=esk9_0),inference(cn,[status(thm)],[6545,theory(equality)])).
% cnf(6613,negated_conjecture,(open_subset(esk9_0,esk7_0)),inference(rw,[status(thm)],[145,6546,theory(equality)])).
% cnf(6614,negated_conjecture,($false),inference(sr,[status(thm)],[6613,6544,theory(equality)])).
% cnf(6615,negated_conjecture,($false),6614,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 633
% # ...of these trivial : 21
% # ...subsumed : 14
% # ...remaining for further processing: 598
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 266
% # Generated clauses : 2489
% # ...of the previous two non-trivial : 2336
% # Contextual simplify-reflections : 10
% # Paramodulations : 2489
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 297
% # Positive orientable unit clauses: 193
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 1
% # Non-unit-clauses : 103
% # Current number of unprocessed clauses: 814
% # ...number of literals in the above : 1498
% # Clause-clause subsumption calls (NU) : 145
% # Rec. Clause-clause subsumption calls : 140
% # Unit Clause-clause subsumption calls : 11
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2819
% # Indexed BW rewrite successes : 8
% # Backwards rewriting index: 262 leaves, 1.68+/-1.661 terms/leaf
% # Paramod-from index: 134 leaves, 1.90+/-2.081 terms/leaf
% # Paramod-into index: 237 leaves, 1.69+/-1.729 terms/leaf
% # -------------------------------------------------
% # User time : 0.121 s
% # System time : 0.008 s
% # Total time : 0.129 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.28 CPU 0.36 WC
% FINAL PrfWatch: 0.28 CPU 0.36 WC
% SZS output end Solution for /tmp/SystemOnTPTP6749/SEU324+1.tptp
%
%------------------------------------------------------------------------------