TSTP Solution File: GEO193+2 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : GEO193+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 : art02.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 : Wed Dec 29 05:05:54 EST 2010

% Result   : Theorem 1.01s
% Output   : Solution 1.01s
% 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/SystemOnTPTP32077/GEO193+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP32077/GEO193+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP32077/GEO193+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 32173
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:~(convergent_lines(X1,X1)),file('/tmp/SRASS.s.p', apart3)).
% fof(2, axiom,![X1]:![X2]:![X3]:(convergent_lines(X1,X2)=>(convergent_lines(X1,X3)|convergent_lines(X2,X3))),file('/tmp/SRASS.s.p', apart6)).
% fof(3, axiom,![X1]:![X2]:![X3]:(convergent_lines(X1,X2)=>((apart_point_and_line(X3,X1)|apart_point_and_line(X3,X2))=>distinct_points(X3,intersection_point(X1,X2)))),file('/tmp/SRASS.s.p', con2)).
% fof(4, axiom,![X1]:![X2]:(convergent_lines(X1,X2)=>distinct_lines(X1,X2)),file('/tmp/SRASS.s.p', ceq3)).
% fof(5, axiom,![X1]:~(distinct_points(X1,X1)),file('/tmp/SRASS.s.p', apart1)).
% fof(6, axiom,![X1]:~(distinct_lines(X1,X1)),file('/tmp/SRASS.s.p', apart2)).
% fof(7, axiom,![X1]:![X2]:![X3]:(distinct_points(X1,X2)=>(distinct_points(X1,X3)|distinct_points(X2,X3))),file('/tmp/SRASS.s.p', apart4)).
% fof(8, axiom,![X1]:![X2]:![X3]:(distinct_lines(X1,X2)=>(distinct_lines(X1,X3)|distinct_lines(X2,X3))),file('/tmp/SRASS.s.p', apart5)).
% fof(10, axiom,![X1]:![X2]:![X3]:(apart_point_and_line(X1,X2)=>(distinct_lines(X2,X3)|apart_point_and_line(X1,X3))),file('/tmp/SRASS.s.p', ceq2)).
% fof(11, axiom,![X1]:![X2]:![X4]:![X5]:((distinct_points(X1,X2)&distinct_lines(X4,X5))=>(((apart_point_and_line(X1,X4)|apart_point_and_line(X1,X5))|apart_point_and_line(X2,X4))|apart_point_and_line(X2,X5))),file('/tmp/SRASS.s.p', cu1)).
% fof(13, conjecture,![X1]:![X2]:![X3]:(((convergent_lines(X1,X2)&convergent_lines(X3,X2))&convergent_lines(X1,X3))=>(apart_point_and_line(intersection_point(X1,X2),X3)=>apart_point_and_line(intersection_point(X3,X2),X1))),file('/tmp/SRASS.s.p', con)).
% fof(14, negated_conjecture,~(![X1]:![X2]:![X3]:(((convergent_lines(X1,X2)&convergent_lines(X3,X2))&convergent_lines(X1,X3))=>(apart_point_and_line(intersection_point(X1,X2),X3)=>apart_point_and_line(intersection_point(X3,X2),X1)))),inference(assume_negation,[status(cth)],[13])).
% fof(15, plain,![X1]:~(convergent_lines(X1,X1)),inference(fof_simplification,[status(thm)],[1,theory(equality)])).
% fof(16, plain,![X1]:~(distinct_points(X1,X1)),inference(fof_simplification,[status(thm)],[5,theory(equality)])).
% fof(17, plain,![X1]:~(distinct_lines(X1,X1)),inference(fof_simplification,[status(thm)],[6,theory(equality)])).
% fof(18, plain,![X2]:~(convergent_lines(X2,X2)),inference(variable_rename,[status(thm)],[15])).
% cnf(19,plain,(~convergent_lines(X1,X1)),inference(split_conjunct,[status(thm)],[18])).
% fof(20, plain,![X1]:![X2]:![X3]:(~(convergent_lines(X1,X2))|(convergent_lines(X1,X3)|convergent_lines(X2,X3))),inference(fof_nnf,[status(thm)],[2])).
% fof(21, plain,![X4]:![X5]:![X6]:(~(convergent_lines(X4,X5))|(convergent_lines(X4,X6)|convergent_lines(X5,X6))),inference(variable_rename,[status(thm)],[20])).
% cnf(22,plain,(convergent_lines(X1,X2)|convergent_lines(X3,X2)|~convergent_lines(X3,X1)),inference(split_conjunct,[status(thm)],[21])).
% fof(23, plain,![X1]:![X2]:![X3]:(~(convergent_lines(X1,X2))|((~(apart_point_and_line(X3,X1))&~(apart_point_and_line(X3,X2)))|distinct_points(X3,intersection_point(X1,X2)))),inference(fof_nnf,[status(thm)],[3])).
% fof(24, plain,![X4]:![X5]:![X6]:(~(convergent_lines(X4,X5))|((~(apart_point_and_line(X6,X4))&~(apart_point_and_line(X6,X5)))|distinct_points(X6,intersection_point(X4,X5)))),inference(variable_rename,[status(thm)],[23])).
% fof(25, plain,![X4]:![X5]:![X6]:(((~(apart_point_and_line(X6,X4))|distinct_points(X6,intersection_point(X4,X5)))|~(convergent_lines(X4,X5)))&((~(apart_point_and_line(X6,X5))|distinct_points(X6,intersection_point(X4,X5)))|~(convergent_lines(X4,X5)))),inference(distribute,[status(thm)],[24])).
% cnf(26,plain,(distinct_points(X3,intersection_point(X1,X2))|~convergent_lines(X1,X2)|~apart_point_and_line(X3,X2)),inference(split_conjunct,[status(thm)],[25])).
% cnf(27,plain,(distinct_points(X3,intersection_point(X1,X2))|~convergent_lines(X1,X2)|~apart_point_and_line(X3,X1)),inference(split_conjunct,[status(thm)],[25])).
% fof(28, plain,![X1]:![X2]:(~(convergent_lines(X1,X2))|distinct_lines(X1,X2)),inference(fof_nnf,[status(thm)],[4])).
% fof(29, plain,![X3]:![X4]:(~(convergent_lines(X3,X4))|distinct_lines(X3,X4)),inference(variable_rename,[status(thm)],[28])).
% cnf(30,plain,(distinct_lines(X1,X2)|~convergent_lines(X1,X2)),inference(split_conjunct,[status(thm)],[29])).
% fof(31, plain,![X2]:~(distinct_points(X2,X2)),inference(variable_rename,[status(thm)],[16])).
% cnf(32,plain,(~distinct_points(X1,X1)),inference(split_conjunct,[status(thm)],[31])).
% fof(33, plain,![X2]:~(distinct_lines(X2,X2)),inference(variable_rename,[status(thm)],[17])).
% cnf(34,plain,(~distinct_lines(X1,X1)),inference(split_conjunct,[status(thm)],[33])).
% fof(35, plain,![X1]:![X2]:![X3]:(~(distinct_points(X1,X2))|(distinct_points(X1,X3)|distinct_points(X2,X3))),inference(fof_nnf,[status(thm)],[7])).
% fof(36, plain,![X4]:![X5]:![X6]:(~(distinct_points(X4,X5))|(distinct_points(X4,X6)|distinct_points(X5,X6))),inference(variable_rename,[status(thm)],[35])).
% cnf(37,plain,(distinct_points(X1,X2)|distinct_points(X3,X2)|~distinct_points(X3,X1)),inference(split_conjunct,[status(thm)],[36])).
% fof(38, plain,![X1]:![X2]:![X3]:(~(distinct_lines(X1,X2))|(distinct_lines(X1,X3)|distinct_lines(X2,X3))),inference(fof_nnf,[status(thm)],[8])).
% fof(39, plain,![X4]:![X5]:![X6]:(~(distinct_lines(X4,X5))|(distinct_lines(X4,X6)|distinct_lines(X5,X6))),inference(variable_rename,[status(thm)],[38])).
% cnf(40,plain,(distinct_lines(X1,X2)|distinct_lines(X3,X2)|~distinct_lines(X3,X1)),inference(split_conjunct,[status(thm)],[39])).
% fof(44, plain,![X1]:![X2]:![X3]:(~(apart_point_and_line(X1,X2))|(distinct_lines(X2,X3)|apart_point_and_line(X1,X3))),inference(fof_nnf,[status(thm)],[10])).
% fof(45, plain,![X4]:![X5]:![X6]:(~(apart_point_and_line(X4,X5))|(distinct_lines(X5,X6)|apart_point_and_line(X4,X6))),inference(variable_rename,[status(thm)],[44])).
% cnf(46,plain,(apart_point_and_line(X1,X2)|distinct_lines(X3,X2)|~apart_point_and_line(X1,X3)),inference(split_conjunct,[status(thm)],[45])).
% fof(47, plain,![X1]:![X2]:![X4]:![X5]:((~(distinct_points(X1,X2))|~(distinct_lines(X4,X5)))|(((apart_point_and_line(X1,X4)|apart_point_and_line(X1,X5))|apart_point_and_line(X2,X4))|apart_point_and_line(X2,X5))),inference(fof_nnf,[status(thm)],[11])).
% fof(48, plain,![X6]:![X7]:![X8]:![X9]:((~(distinct_points(X6,X7))|~(distinct_lines(X8,X9)))|(((apart_point_and_line(X6,X8)|apart_point_and_line(X6,X9))|apart_point_and_line(X7,X8))|apart_point_and_line(X7,X9))),inference(variable_rename,[status(thm)],[47])).
% cnf(49,plain,(apart_point_and_line(X1,X2)|apart_point_and_line(X1,X3)|apart_point_and_line(X4,X2)|apart_point_and_line(X4,X3)|~distinct_lines(X3,X2)|~distinct_points(X4,X1)),inference(split_conjunct,[status(thm)],[48])).
% fof(55, negated_conjecture,?[X1]:?[X2]:?[X3]:(((convergent_lines(X1,X2)&convergent_lines(X3,X2))&convergent_lines(X1,X3))&(apart_point_and_line(intersection_point(X1,X2),X3)&~(apart_point_and_line(intersection_point(X3,X2),X1)))),inference(fof_nnf,[status(thm)],[14])).
% fof(56, negated_conjecture,?[X4]:?[X5]:?[X6]:(((convergent_lines(X4,X5)&convergent_lines(X6,X5))&convergent_lines(X4,X6))&(apart_point_and_line(intersection_point(X4,X5),X6)&~(apart_point_and_line(intersection_point(X6,X5),X4)))),inference(variable_rename,[status(thm)],[55])).
% fof(57, negated_conjecture,(((convergent_lines(esk1_0,esk2_0)&convergent_lines(esk3_0,esk2_0))&convergent_lines(esk1_0,esk3_0))&(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)&~(apart_point_and_line(intersection_point(esk3_0,esk2_0),esk1_0)))),inference(skolemize,[status(esa)],[56])).
% cnf(58,negated_conjecture,(~apart_point_and_line(intersection_point(esk3_0,esk2_0),esk1_0)),inference(split_conjunct,[status(thm)],[57])).
% cnf(59,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)),inference(split_conjunct,[status(thm)],[57])).
% cnf(61,negated_conjecture,(convergent_lines(esk3_0,esk2_0)),inference(split_conjunct,[status(thm)],[57])).
% cnf(62,negated_conjecture,(convergent_lines(esk1_0,esk2_0)),inference(split_conjunct,[status(thm)],[57])).
% cnf(65,negated_conjecture,(convergent_lines(esk1_0,X1)|convergent_lines(esk2_0,X1)),inference(spm,[status(thm)],[22,62,theory(equality)])).
% cnf(67,plain,(~apart_point_and_line(intersection_point(X1,X2),X2)|~convergent_lines(X1,X2)),inference(spm,[status(thm)],[32,26,theory(equality)])).
% cnf(68,plain,(~apart_point_and_line(intersection_point(X1,X2),X1)|~convergent_lines(X1,X2)),inference(spm,[status(thm)],[32,27,theory(equality)])).
% cnf(70,negated_conjecture,(distinct_lines(esk3_0,X1)|apart_point_and_line(intersection_point(esk1_0,esk2_0),X1)),inference(spm,[status(thm)],[46,59,theory(equality)])).
% cnf(72,plain,(distinct_points(X1,X2)|distinct_points(intersection_point(X3,X4),X2)|~apart_point_and_line(X1,X3)|~convergent_lines(X3,X4)),inference(spm,[status(thm)],[37,27,theory(equality)])).
% cnf(73,plain,(distinct_lines(X1,X2)|distinct_lines(X3,X2)|~convergent_lines(X1,X3)),inference(spm,[status(thm)],[40,30,theory(equality)])).
% cnf(81,negated_conjecture,(convergent_lines(esk2_0,esk1_0)),inference(spm,[status(thm)],[19,65,theory(equality)])).
% cnf(138,negated_conjecture,(distinct_points(intersection_point(X1,X2),X3)|distinct_points(intersection_point(esk1_0,esk2_0),X3)|distinct_lines(esk3_0,X1)|~convergent_lines(X1,X2)),inference(spm,[status(thm)],[72,70,theory(equality)])).
% cnf(168,negated_conjecture,(distinct_lines(esk1_0,X1)|distinct_lines(esk2_0,X1)),inference(spm,[status(thm)],[73,81,theory(equality)])).
% cnf(187,negated_conjecture,(distinct_lines(esk2_0,esk1_0)),inference(spm,[status(thm)],[34,168,theory(equality)])).
% cnf(191,negated_conjecture,(apart_point_and_line(X1,esk2_0)|apart_point_and_line(X1,esk1_0)|apart_point_and_line(X2,esk2_0)|apart_point_and_line(X2,esk1_0)|~distinct_points(X1,X2)),inference(spm,[status(thm)],[49,187,theory(equality)])).
% cnf(1080,negated_conjecture,(distinct_lines(esk3_0,esk3_0)|distinct_points(intersection_point(esk1_0,esk2_0),X1)|distinct_points(intersection_point(esk3_0,esk2_0),X1)),inference(spm,[status(thm)],[138,61,theory(equality)])).
% cnf(1167,negated_conjecture,(distinct_points(intersection_point(esk1_0,esk2_0),X1)|distinct_points(intersection_point(esk3_0,esk2_0),X1)),inference(sr,[status(thm)],[1080,34,theory(equality)])).
% cnf(1213,negated_conjecture,(distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk3_0,esk2_0))),inference(spm,[status(thm)],[32,1167,theory(equality)])).
% cnf(2393,negated_conjecture,(apart_point_and_line(intersection_point(esk3_0,esk2_0),esk1_0)|apart_point_and_line(intersection_point(esk3_0,esk2_0),esk2_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)),inference(spm,[status(thm)],[191,1213,theory(equality)])).
% cnf(2409,negated_conjecture,(apart_point_and_line(intersection_point(esk3_0,esk2_0),esk2_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)),inference(sr,[status(thm)],[2393,58,theory(equality)])).
% cnf(2415,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)|~convergent_lines(esk3_0,esk2_0)),inference(spm,[status(thm)],[67,2409,theory(equality)])).
% cnf(2416,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)|$false),inference(rw,[status(thm)],[2415,61,theory(equality)])).
% cnf(2417,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)),inference(cn,[status(thm)],[2416,theory(equality)])).
% cnf(2422,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)|~convergent_lines(esk1_0,esk2_0)),inference(spm,[status(thm)],[68,2417,theory(equality)])).
% cnf(2423,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)|$false),inference(rw,[status(thm)],[2422,62,theory(equality)])).
% cnf(2424,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)),inference(cn,[status(thm)],[2423,theory(equality)])).
% cnf(2429,negated_conjecture,(~convergent_lines(esk1_0,esk2_0)),inference(spm,[status(thm)],[67,2424,theory(equality)])).
% cnf(2431,negated_conjecture,($false),inference(rw,[status(thm)],[2429,62,theory(equality)])).
% cnf(2432,negated_conjecture,($false),inference(cn,[status(thm)],[2431,theory(equality)])).
% cnf(2433,negated_conjecture,($false),2432,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 408
% # ...of these trivial                : 0
% # ...subsumed                        : 216
% # ...remaining for further processing: 192
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 1
% # Backward-rewritten                 : 1
% # Generated clauses                  : 1888
% # ...of the previous two non-trivial : 1546
% # Contextual simplify-reflections    : 44
% # Paramodulations                    : 1638
% # Factorizations                     : 250
% # Equation resolutions               : 0
% # Current number of processed clauses: 171
% #    Positive orientable unit clauses: 17
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 4
% #    Non-unit-clauses                : 150
% # Current number of unprocessed clauses: 1168
% # ...number of literals in the above : 6908
% # Clause-clause subsumption calls (NU) : 3707
% # Rec. Clause-clause subsumption calls : 2159
% # Unit Clause-clause subsumption calls : 24
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 1
% # Indexed BW rewrite successes       : 1
% # Backwards rewriting index:    65 leaves,   1.98+/-2.072 terms/leaf
% # Paramod-from index:           43 leaves,   1.51+/-0.973 terms/leaf
% # Paramod-into index:           57 leaves,   1.72+/-1.373 terms/leaf
% # -------------------------------------------------
% # User time              : 0.104 s
% # System time            : 0.007 s
% # Total time             : 0.111 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.21 CPU 0.30 WC
% FINAL PrfWatch: 0.21 CPU 0.30 WC
% SZS output end Solution for /tmp/SystemOnTPTP32077/GEO193+2.tptp
% 
%------------------------------------------------------------------------------