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SRASS---0.1.THM-Sol.s

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%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : GEO191+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 : art06.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 05:05:10 EST 2010

% Result   : Theorem 11.18s
% Output   : Solution 11.18s
% 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/SystemOnTPTP10908/GEO191+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP10908/GEO191+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP10908/GEO191+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 11004
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.02 WC
% PrfWatch: 3.92 CPU 4.03 WC
% PrfWatch: 5.91 CPU 6.03 WC
% PrfWatch: 7.91 CPU 8.04 WC
% # Preprocessing time     : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 9.90 CPU 10.04 WC
% # 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', ax6)).
% fof(3, axiom,![X1]:![X2]:(convergent_lines(X1,X2)=>~(apart_point_and_line(intersection_point(X1,X2),X1))),file('/tmp/SRASS.s.p', ci3)).
% fof(4, axiom,![X1]:![X2]:(convergent_lines(X1,X2)=>~(apart_point_and_line(intersection_point(X1,X2),X2))),file('/tmp/SRASS.s.p', ci4)).
% fof(6, axiom,![X1]:~(distinct_lines(X1,X1)),file('/tmp/SRASS.s.p', apart2)).
% 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(9, axiom,![X1]:![X2]:![X3]:(convergent_lines(X1,X2)=>(distinct_lines(X2,X3)|convergent_lines(X1,X3))),file('/tmp/SRASS.s.p', ceq3)).
% fof(10, axiom,![X1]:![X2]:![X3]:(apart_point_and_line(X1,X2)=>(distinct_points(X1,X3)|apart_point_and_line(X3,X2))),file('/tmp/SRASS.s.p', ceq1)).
% fof(11, 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(12, 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(15, conjecture,![X1]:![X2]:![X4]:![X5]:(((convergent_lines(X1,X2)&convergent_lines(X4,X5))&(apart_point_and_line(intersection_point(X1,X2),X4)|apart_point_and_line(intersection_point(X1,X2),X5)))=>(apart_point_and_line(intersection_point(X4,X5),X1)|apart_point_and_line(intersection_point(X4,X5),X2))),file('/tmp/SRASS.s.p', con)).
% fof(16, negated_conjecture,~(![X1]:![X2]:![X4]:![X5]:(((convergent_lines(X1,X2)&convergent_lines(X4,X5))&(apart_point_and_line(intersection_point(X1,X2),X4)|apart_point_and_line(intersection_point(X1,X2),X5)))=>(apart_point_and_line(intersection_point(X4,X5),X1)|apart_point_and_line(intersection_point(X4,X5),X2)))),inference(assume_negation,[status(cth)],[15])).
% fof(17, plain,![X1]:~(convergent_lines(X1,X1)),inference(fof_simplification,[status(thm)],[1,theory(equality)])).
% fof(18, plain,![X1]:![X2]:(convergent_lines(X1,X2)=>~(apart_point_and_line(intersection_point(X1,X2),X1))),inference(fof_simplification,[status(thm)],[3,theory(equality)])).
% fof(19, plain,![X1]:![X2]:(convergent_lines(X1,X2)=>~(apart_point_and_line(intersection_point(X1,X2),X2))),inference(fof_simplification,[status(thm)],[4,theory(equality)])).
% fof(21, plain,![X1]:~(distinct_lines(X1,X1)),inference(fof_simplification,[status(thm)],[6,theory(equality)])).
% fof(24, plain,![X2]:~(convergent_lines(X2,X2)),inference(variable_rename,[status(thm)],[17])).
% cnf(25,plain,(~convergent_lines(X1,X1)),inference(split_conjunct,[status(thm)],[24])).
% fof(26, plain,![X1]:![X2]:![X3]:(~(convergent_lines(X1,X2))|(convergent_lines(X1,X3)|convergent_lines(X2,X3))),inference(fof_nnf,[status(thm)],[2])).
% fof(27, plain,![X4]:![X5]:![X6]:(~(convergent_lines(X4,X5))|(convergent_lines(X4,X6)|convergent_lines(X5,X6))),inference(variable_rename,[status(thm)],[26])).
% cnf(28,plain,(convergent_lines(X1,X2)|convergent_lines(X3,X2)|~convergent_lines(X3,X1)),inference(split_conjunct,[status(thm)],[27])).
% fof(29, plain,![X1]:![X2]:(~(convergent_lines(X1,X2))|~(apart_point_and_line(intersection_point(X1,X2),X1))),inference(fof_nnf,[status(thm)],[18])).
% fof(30, plain,![X3]:![X4]:(~(convergent_lines(X3,X4))|~(apart_point_and_line(intersection_point(X3,X4),X3))),inference(variable_rename,[status(thm)],[29])).
% cnf(31,plain,(~apart_point_and_line(intersection_point(X1,X2),X1)|~convergent_lines(X1,X2)),inference(split_conjunct,[status(thm)],[30])).
% fof(32, plain,![X1]:![X2]:(~(convergent_lines(X1,X2))|~(apart_point_and_line(intersection_point(X1,X2),X2))),inference(fof_nnf,[status(thm)],[19])).
% fof(33, plain,![X3]:![X4]:(~(convergent_lines(X3,X4))|~(apart_point_and_line(intersection_point(X3,X4),X4))),inference(variable_rename,[status(thm)],[32])).
% cnf(34,plain,(~apart_point_and_line(intersection_point(X1,X2),X2)|~convergent_lines(X1,X2)),inference(split_conjunct,[status(thm)],[33])).
% fof(37, plain,![X2]:~(distinct_lines(X2,X2)),inference(variable_rename,[status(thm)],[21])).
% cnf(38,plain,(~distinct_lines(X1,X1)),inference(split_conjunct,[status(thm)],[37])).
% fof(42, plain,![X1]:![X2]:![X3]:(~(distinct_lines(X1,X2))|(distinct_lines(X1,X3)|distinct_lines(X2,X3))),inference(fof_nnf,[status(thm)],[8])).
% fof(43, plain,![X4]:![X5]:![X6]:(~(distinct_lines(X4,X5))|(distinct_lines(X4,X6)|distinct_lines(X5,X6))),inference(variable_rename,[status(thm)],[42])).
% cnf(44,plain,(distinct_lines(X1,X2)|distinct_lines(X3,X2)|~distinct_lines(X3,X1)),inference(split_conjunct,[status(thm)],[43])).
% fof(45, plain,![X1]:![X2]:![X3]:(~(convergent_lines(X1,X2))|(distinct_lines(X2,X3)|convergent_lines(X1,X3))),inference(fof_nnf,[status(thm)],[9])).
% fof(46, plain,![X4]:![X5]:![X6]:(~(convergent_lines(X4,X5))|(distinct_lines(X5,X6)|convergent_lines(X4,X6))),inference(variable_rename,[status(thm)],[45])).
% cnf(47,plain,(convergent_lines(X1,X2)|distinct_lines(X3,X2)|~convergent_lines(X1,X3)),inference(split_conjunct,[status(thm)],[46])).
% fof(48, plain,![X1]:![X2]:![X3]:(~(apart_point_and_line(X1,X2))|(distinct_points(X1,X3)|apart_point_and_line(X3,X2))),inference(fof_nnf,[status(thm)],[10])).
% fof(49, plain,![X4]:![X5]:![X6]:(~(apart_point_and_line(X4,X5))|(distinct_points(X4,X6)|apart_point_and_line(X6,X5))),inference(variable_rename,[status(thm)],[48])).
% cnf(50,plain,(apart_point_and_line(X1,X2)|distinct_points(X3,X1)|~apart_point_and_line(X3,X2)),inference(split_conjunct,[status(thm)],[49])).
% fof(51, 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)],[11])).
% fof(52, 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)],[51])).
% cnf(53,plain,(apart_point_and_line(X1,X2)|distinct_lines(X3,X2)|~apart_point_and_line(X1,X3)),inference(split_conjunct,[status(thm)],[52])).
% fof(54, 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)],[12])).
% fof(55, 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)],[54])).
% cnf(56,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)],[55])).
% fof(63, negated_conjecture,?[X1]:?[X2]:?[X4]:?[X5]:(((convergent_lines(X1,X2)&convergent_lines(X4,X5))&(apart_point_and_line(intersection_point(X1,X2),X4)|apart_point_and_line(intersection_point(X1,X2),X5)))&(~(apart_point_and_line(intersection_point(X4,X5),X1))&~(apart_point_and_line(intersection_point(X4,X5),X2)))),inference(fof_nnf,[status(thm)],[16])).
% fof(64, negated_conjecture,?[X6]:?[X7]:?[X8]:?[X9]:(((convergent_lines(X6,X7)&convergent_lines(X8,X9))&(apart_point_and_line(intersection_point(X6,X7),X8)|apart_point_and_line(intersection_point(X6,X7),X9)))&(~(apart_point_and_line(intersection_point(X8,X9),X6))&~(apart_point_and_line(intersection_point(X8,X9),X7)))),inference(variable_rename,[status(thm)],[63])).
% fof(65, negated_conjecture,(((convergent_lines(esk1_0,esk2_0)&convergent_lines(esk3_0,esk4_0))&(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0)))&(~(apart_point_and_line(intersection_point(esk3_0,esk4_0),esk1_0))&~(apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0)))),inference(skolemize,[status(esa)],[64])).
% cnf(66,negated_conjecture,(~apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0)),inference(split_conjunct,[status(thm)],[65])).
% cnf(67,negated_conjecture,(~apart_point_and_line(intersection_point(esk3_0,esk4_0),esk1_0)),inference(split_conjunct,[status(thm)],[65])).
% cnf(68,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)),inference(split_conjunct,[status(thm)],[65])).
% cnf(69,negated_conjecture,(convergent_lines(esk3_0,esk4_0)),inference(split_conjunct,[status(thm)],[65])).
% cnf(70,negated_conjecture,(convergent_lines(esk1_0,esk2_0)),inference(split_conjunct,[status(thm)],[65])).
% cnf(71,negated_conjecture,(convergent_lines(esk3_0,X1)|convergent_lines(esk4_0,X1)),inference(spm,[status(thm)],[28,69,theory(equality)])).
% cnf(72,negated_conjecture,(convergent_lines(esk1_0,X1)|convergent_lines(esk2_0,X1)),inference(spm,[status(thm)],[28,70,theory(equality)])).
% cnf(75,negated_conjecture,(distinct_points(intersection_point(esk1_0,esk2_0),X1)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)),inference(spm,[status(thm)],[50,68,theory(equality)])).
% cnf(79,negated_conjecture,(convergent_lines(esk4_0,X1)|convergent_lines(X2,X1)|convergent_lines(esk3_0,X2)),inference(spm,[status(thm)],[28,71,theory(equality)])).
% cnf(81,negated_conjecture,(convergent_lines(esk2_0,esk1_0)),inference(spm,[status(thm)],[25,72,theory(equality)])).
% cnf(83,negated_conjecture,(convergent_lines(esk1_0,X1)|convergent_lines(X2,X1)|convergent_lines(esk2_0,X2)),inference(spm,[status(thm)],[28,72,theory(equality)])).
% cnf(115,negated_conjecture,(convergent_lines(esk3_0,X1)|convergent_lines(X1,esk4_0)),inference(spm,[status(thm)],[25,79,theory(equality)])).
% cnf(123,negated_conjecture,(convergent_lines(esk3_0,X1)|convergent_lines(X2,X1)|convergent_lines(X2,esk4_0)),inference(spm,[status(thm)],[28,115,theory(equality)])).
% cnf(154,negated_conjecture,(convergent_lines(X1,esk4_0)|convergent_lines(X1,esk3_0)),inference(spm,[status(thm)],[25,123,theory(equality)])).
% cnf(166,negated_conjecture,(convergent_lines(esk4_0,esk3_0)),inference(spm,[status(thm)],[25,154,theory(equality)])).
% cnf(169,negated_conjecture,(distinct_lines(esk3_0,X1)|convergent_lines(esk4_0,X1)),inference(spm,[status(thm)],[47,166,theory(equality)])).
% cnf(173,negated_conjecture,(apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,X2)|apart_point_and_line(X3,esk3_0)|apart_point_and_line(X3,X2)|convergent_lines(esk4_0,X2)|~distinct_points(X1,X3)),inference(spm,[status(thm)],[56,169,theory(equality)])).
% cnf(209,negated_conjecture,(convergent_lines(esk2_0,X1)|convergent_lines(X1,esk1_0)),inference(spm,[status(thm)],[25,83,theory(equality)])).
% cnf(217,negated_conjecture,(convergent_lines(esk2_0,X1)|convergent_lines(X2,X1)|convergent_lines(X2,esk1_0)),inference(spm,[status(thm)],[28,209,theory(equality)])).
% cnf(280,negated_conjecture,(convergent_lines(X1,esk1_0)|convergent_lines(X1,esk2_0)),inference(spm,[status(thm)],[25,217,theory(equality)])).
% cnf(293,negated_conjecture,(distinct_lines(esk1_0,X1)|convergent_lines(X2,X1)|convergent_lines(X2,esk2_0)),inference(spm,[status(thm)],[47,280,theory(equality)])).
% cnf(357,negated_conjecture,(distinct_lines(esk1_0,esk2_0)|convergent_lines(X3,esk2_0)),inference(ef,[status(thm)],[293,theory(equality)])).
% cnf(369,negated_conjecture,(distinct_lines(esk1_0,X1)|distinct_lines(esk2_0,X1)|convergent_lines(X2,esk2_0)),inference(spm,[status(thm)],[44,357,theory(equality)])).
% cnf(661,negated_conjecture,(distinct_lines(esk2_0,esk1_0)|convergent_lines(X1,esk2_0)),inference(spm,[status(thm)],[38,369,theory(equality)])).
% cnf(685,negated_conjecture,(distinct_lines(esk2_0,X1)|convergent_lines(X2,X1)|distinct_lines(esk2_0,esk1_0)),inference(spm,[status(thm)],[47,661,theory(equality)])).
% cnf(873,negated_conjecture,(distinct_lines(esk2_0,esk1_0)|distinct_lines(esk2_0,X1)),inference(spm,[status(thm)],[25,685,theory(equality)])).
% cnf(924,negated_conjecture,(distinct_lines(esk2_0,esk1_0)),inference(ef,[status(thm)],[873,theory(equality)])).
% cnf(942,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)],[56,924,theory(equality)])).
% cnf(1159,negated_conjecture,(apart_point_and_line(X1,esk3_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)|apart_point_and_line(X1,X2)|apart_point_and_line(intersection_point(esk1_0,esk2_0),X2)|convergent_lines(esk4_0,X2)|apart_point_and_line(X1,esk4_0)),inference(spm,[status(thm)],[173,75,theory(equality)])).
% cnf(4022,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,esk1_0)|convergent_lines(esk4_0,esk1_0)|~convergent_lines(esk1_0,esk2_0)),inference(spm,[status(thm)],[31,1159,theory(equality)])).
% cnf(4031,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,esk1_0)|convergent_lines(esk4_0,esk1_0)|$false),inference(rw,[status(thm)],[4022,70,theory(equality)])).
% cnf(4032,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,esk1_0)|convergent_lines(esk4_0,esk1_0)),inference(cn,[status(thm)],[4031,theory(equality)])).
% cnf(4102,negated_conjecture,(distinct_lines(esk3_0,X1)|apart_point_and_line(intersection_point(esk1_0,esk2_0),X1)|apart_point_and_line(X2,esk1_0)|apart_point_and_line(X2,esk3_0)|apart_point_and_line(X2,esk4_0)|convergent_lines(esk4_0,esk1_0)),inference(spm,[status(thm)],[53,4032,theory(equality)])).
% cnf(23381,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)|convergent_lines(esk4_0,esk1_0)),inference(ef,[status(thm)],[4102,theory(equality)])).
% cnf(23438,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)),inference(csr,[status(thm)],[23381,68])).
% cnf(23439,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0)),inference(csr,[status(thm)],[23438,53])).
% cnf(23442,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0)|~convergent_lines(esk1_0,esk2_0)),inference(spm,[status(thm)],[31,23439,theory(equality)])).
% cnf(23443,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0)|$false),inference(rw,[status(thm)],[23442,70,theory(equality)])).
% cnf(23444,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk4_0)),inference(cn,[status(thm)],[23443,theory(equality)])).
% cnf(23445,negated_conjecture,(distinct_points(intersection_point(esk1_0,esk2_0),X1)|apart_point_and_line(X1,esk4_0)|distinct_lines(esk3_0,esk1_0)),inference(spm,[status(thm)],[50,23444,theory(equality)])).
% cnf(23478,negated_conjecture,(apart_point_and_line(X1,esk1_0)|apart_point_and_line(X1,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)|distinct_lines(esk3_0,esk1_0)|apart_point_and_line(X1,esk4_0)),inference(spm,[status(thm)],[942,23445,theory(equality)])).
% cnf(24005,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(X1,esk2_0)|apart_point_and_line(X1,esk1_0)|~convergent_lines(esk1_0,esk2_0)),inference(spm,[status(thm)],[31,23478,theory(equality)])).
% cnf(24006,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(X1,esk2_0)|apart_point_and_line(X1,esk1_0)|$false),inference(rw,[status(thm)],[24005,70,theory(equality)])).
% cnf(24007,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(X1,esk2_0)|apart_point_and_line(X1,esk1_0)),inference(cn,[status(thm)],[24006,theory(equality)])).
% cnf(24053,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(X1,esk1_0)|apart_point_and_line(X1,esk2_0)|apart_point_and_line(X1,esk4_0)|~convergent_lines(esk1_0,esk2_0)),inference(spm,[status(thm)],[34,24007,theory(equality)])).
% cnf(24054,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(X1,esk1_0)|apart_point_and_line(X1,esk2_0)|apart_point_and_line(X1,esk4_0)|$false),inference(rw,[status(thm)],[24053,70,theory(equality)])).
% cnf(24055,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(X1,esk1_0)|apart_point_and_line(X1,esk2_0)|apart_point_and_line(X1,esk4_0)),inference(cn,[status(thm)],[24054,theory(equality)])).
% cnf(24058,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(intersection_point(esk3_0,esk4_0),esk4_0)|apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0)),inference(spm,[status(thm)],[67,24055,theory(equality)])).
% cnf(24063,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|apart_point_and_line(intersection_point(esk3_0,esk4_0),esk4_0)),inference(sr,[status(thm)],[24058,66,theory(equality)])).
% cnf(24066,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|~convergent_lines(esk3_0,esk4_0)),inference(spm,[status(thm)],[34,24063,theory(equality)])).
% cnf(24067,negated_conjecture,(distinct_lines(esk3_0,esk1_0)|$false),inference(rw,[status(thm)],[24066,69,theory(equality)])).
% cnf(24068,negated_conjecture,(distinct_lines(esk3_0,esk1_0)),inference(cn,[status(thm)],[24067,theory(equality)])).
% cnf(24070,negated_conjecture,(apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,esk1_0)|apart_point_and_line(X2,esk3_0)|apart_point_and_line(X2,esk1_0)|~distinct_points(X1,X2)),inference(spm,[status(thm)],[56,24068,theory(equality)])).
% cnf(24359,negated_conjecture,(apart_point_and_line(X1,esk1_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)|apart_point_and_line(X1,esk4_0)),inference(spm,[status(thm)],[24070,75,theory(equality)])).
% cnf(24429,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,esk1_0)|~convergent_lines(esk1_0,esk2_0)),inference(spm,[status(thm)],[31,24359,theory(equality)])).
% cnf(24430,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,esk1_0)|$false),inference(rw,[status(thm)],[24429,70,theory(equality)])).
% cnf(24431,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,esk1_0)),inference(cn,[status(thm)],[24430,theory(equality)])).
% cnf(24432,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)|apart_point_and_line(intersection_point(X1,esk1_0),esk3_0)|apart_point_and_line(intersection_point(X1,esk1_0),esk4_0)|~convergent_lines(X1,esk1_0)),inference(spm,[status(thm)],[34,24431,theory(equality)])).
% cnf(24468,negated_conjecture,(apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)),inference(spm,[status(thm)],[24432,81,theory(equality)])).
% cnf(25304,negated_conjecture,(distinct_points(intersection_point(esk1_0,esk2_0),X1)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)),inference(spm,[status(thm)],[50,24468,theory(equality)])).
% cnf(25427,negated_conjecture,(apart_point_and_line(X1,esk1_0)|apart_point_and_line(X1,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)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(X1,esk3_0)),inference(spm,[status(thm)],[942,25304,theory(equality)])).
% cnf(34783,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,esk2_0)|apart_point_and_line(X1,esk1_0)|~convergent_lines(esk1_0,esk2_0)),inference(spm,[status(thm)],[31,25427,theory(equality)])).
% cnf(34784,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,esk2_0)|apart_point_and_line(X1,esk1_0)|$false),inference(rw,[status(thm)],[34783,70,theory(equality)])).
% cnf(34785,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)|apart_point_and_line(intersection_point(esk1_0,esk2_0),esk2_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,esk2_0)|apart_point_and_line(X1,esk1_0)),inference(cn,[status(thm)],[34784,theory(equality)])).
% cnf(34887,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(X1,esk1_0)|apart_point_and_line(X1,esk2_0)|apart_point_and_line(X1,esk3_0)|~convergent_lines(esk1_0,esk2_0)),inference(spm,[status(thm)],[34,34785,theory(equality)])).
% cnf(34888,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(X1,esk1_0)|apart_point_and_line(X1,esk2_0)|apart_point_and_line(X1,esk3_0)|$false),inference(rw,[status(thm)],[34887,70,theory(equality)])).
% cnf(34889,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(X1,esk1_0)|apart_point_and_line(X1,esk2_0)|apart_point_and_line(X1,esk3_0)),inference(cn,[status(thm)],[34888,theory(equality)])).
% cnf(34957,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)|apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0)|apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0)),inference(spm,[status(thm)],[67,34889,theory(equality)])).
% cnf(34962,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)|apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0)),inference(sr,[status(thm)],[34957,66,theory(equality)])).
% cnf(34965,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|~convergent_lines(esk3_0,esk4_0)),inference(spm,[status(thm)],[31,34962,theory(equality)])).
% cnf(34966,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|$false),inference(rw,[status(thm)],[34965,69,theory(equality)])).
% cnf(34967,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk4_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)),inference(cn,[status(thm)],[34966,theory(equality)])).
% cnf(34968,negated_conjecture,(distinct_points(intersection_point(esk2_0,esk1_0),X1)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)),inference(spm,[status(thm)],[50,34967,theory(equality)])).
% cnf(35017,negated_conjecture,(apart_point_and_line(X1,esk1_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(X1,esk4_0)),inference(spm,[status(thm)],[24070,34968,theory(equality)])).
% cnf(35140,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,esk1_0)|~convergent_lines(esk2_0,esk1_0)),inference(spm,[status(thm)],[34,35017,theory(equality)])).
% cnf(35141,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,esk1_0)|$false),inference(rw,[status(thm)],[35140,81,theory(equality)])).
% cnf(35142,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(X1,esk4_0)|apart_point_and_line(X1,esk3_0)|apart_point_and_line(X1,esk1_0)),inference(cn,[status(thm)],[35141,theory(equality)])).
% cnf(35145,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0)|apart_point_and_line(intersection_point(esk3_0,esk4_0),esk4_0)),inference(spm,[status(thm)],[67,35142,theory(equality)])).
% cnf(35152,negated_conjecture,(apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|~convergent_lines(esk3_0,esk4_0)),inference(spm,[status(thm)],[34,35145,theory(equality)])).
% cnf(35153,negated_conjecture,(apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|$false),inference(rw,[status(thm)],[35152,69,theory(equality)])).
% cnf(35154,negated_conjecture,(apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)),inference(cn,[status(thm)],[35153,theory(equality)])).
% cnf(35157,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|~convergent_lines(esk3_0,esk4_0)),inference(spm,[status(thm)],[31,35154,theory(equality)])).
% cnf(35158,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)|$false),inference(rw,[status(thm)],[35157,69,theory(equality)])).
% cnf(35159,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk3_0)),inference(cn,[status(thm)],[35158,theory(equality)])).
% cnf(35160,negated_conjecture,(distinct_points(intersection_point(esk2_0,esk1_0),X1)|apart_point_and_line(X1,esk3_0)),inference(spm,[status(thm)],[50,35159,theory(equality)])).
% cnf(35197,negated_conjecture,(apart_point_and_line(X1,esk1_0)|apart_point_and_line(X1,esk2_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)|apart_point_and_line(X1,esk3_0)),inference(spm,[status(thm)],[942,35160,theory(equality)])).
% cnf(35941,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)|apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0)|apart_point_and_line(intersection_point(esk3_0,esk4_0),esk2_0)),inference(spm,[status(thm)],[67,35197,theory(equality)])).
% cnf(35949,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)|apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0)),inference(sr,[status(thm)],[35941,66,theory(equality)])).
% cnf(35954,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)|~convergent_lines(esk3_0,esk4_0)),inference(spm,[status(thm)],[31,35949,theory(equality)])).
% cnf(35955,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)|$false),inference(rw,[status(thm)],[35954,69,theory(equality)])).
% cnf(35956,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk1_0)|apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)),inference(cn,[status(thm)],[35955,theory(equality)])).
% cnf(35959,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)|~convergent_lines(esk2_0,esk1_0)),inference(spm,[status(thm)],[34,35956,theory(equality)])).
% cnf(35960,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)|$false),inference(rw,[status(thm)],[35959,81,theory(equality)])).
% cnf(35961,negated_conjecture,(apart_point_and_line(intersection_point(esk2_0,esk1_0),esk2_0)),inference(cn,[status(thm)],[35960,theory(equality)])).
% cnf(35964,negated_conjecture,(~convergent_lines(esk2_0,esk1_0)),inference(spm,[status(thm)],[31,35961,theory(equality)])).
% cnf(35966,negated_conjecture,($false),inference(rw,[status(thm)],[35964,81,theory(equality)])).
% cnf(35967,negated_conjecture,($false),inference(cn,[status(thm)],[35966,theory(equality)])).
% cnf(35968,negated_conjecture,($false),35967,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 6461
% # ...of these trivial                : 0
% # ...subsumed                        : 5099
% # ...remaining for further processing: 1362
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 120
% # Backward-rewritten                 : 49
% # Generated clauses                  : 30038
% # ...of the previous two non-trivial : 28442
% # Contextual simplify-reflections    : 2468
% # Paramodulations                    : 25076
% # Factorizations                     : 4962
% # Equation resolutions               : 0
% # Current number of processed clauses: 1174
% #    Positive orientable unit clauses: 18
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 5
% #    Non-unit-clauses                : 1151
% # Current number of unprocessed clauses: 18147
% # ...number of literals in the above : 155185
% # Clause-clause subsumption calls (NU) : 374464
% # Rec. Clause-clause subsumption calls : 81033
% # Unit Clause-clause subsumption calls : 1174
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 12
% # Indexed BW rewrite successes       : 12
% # Backwards rewriting index:   109 leaves,   2.17+/-2.885 terms/leaf
% # Paramod-from index:           70 leaves,   2.19+/-2.276 terms/leaf
% # Paramod-into index:           89 leaves,   2.09+/-2.425 terms/leaf
% # -------------------------------------------------
% # User time              : 9.771 s
% # System time            : 0.049 s
% # Total time             : 9.820 s
% # Maximum resident set size: 0 pages
% PrfWatch: 10.35 CPU 10.50 WC
% FINAL PrfWatch: 10.35 CPU 10.50 WC
% SZS output end Solution for /tmp/SystemOnTPTP10908/GEO191+1.tptp
% 
%------------------------------------------------------------------------------