%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : GEO077-4 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : add_equality:r
% Format   : otter:hypothesis:set(auto),clear(print_given)
% Command  : gandalf-wrapper -time %d %s

% Computer : art09.cs.miami.edu
% Model    : i686 unknown
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1000MB
% OS       : Linux 2.4.22-21mdk-i686-up-4GB
% CPULimit : 600s

% Result   : Unsatisfiable 0.0s
% Output   : Assurance 0.0s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 
% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GEO/GEO077-4+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: neq
% detected subclass: medium
% 
% strategies selected: 
% (hyper 25 #f 2 31)
% (binary-unit 9 #f 2 31)
% (binary-double 9 #f 2 31)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 2 31)
% (binary-order 25 #f 2 31)
% (binary-posweight-order 101 #f)
% (binary-posweight-lex-big-order 25 #f)
% (binary-posweight-lex-small-order 9 #f)
% (binary-order-sos 50 #t)
% (binary-unit-uniteq 25 #f)
% (binary-weightorder 50 #f)
% (binary-order 50 #f)
% (hyper-order 30 #f)
% (binary 112 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(43,40,1,86,0,1)
% 
% 
% START OF PROOF
% 48 [] -on(Z,U) | -on(X,U) | -on(Z,Y) | -on(X,Y) | equal(Y,U) | equal(X,Z) | -line(Y) | -line(U) | -point(Z) | -point(X).
% 71 [] on(X,line_through_3_points(X,Y,Z)) | -collinear(X,Y,Z) | equal(X,Z) | equal(Y,Z) | equal(X,Y) | -point(Z) | -point(X) | -point(Y).
% 72 [] on(X,line_through_3_points(Y,X,Z)) | -collinear(Y,X,Z) | equal(Y,Z) | equal(X,Z) | equal(Y,X) | -point(Z) | -point(Y) | -point(X).
% 73 [] on(X,line_through_3_points(Y,Z,X)) | -collinear(Y,Z,X) | equal(Y,X) | equal(Z,X) | equal(Y,Z) | -point(X) | -point(Y) | -point(Z).
% 74 [] line(line_through_3_points(X,Y,Z)) | -collinear(X,Y,Z) | equal(X,Z) | equal(Y,Z) | equal(X,Y) | -point(Z) | -point(X) | -point(Y).
% 76 [] point(point1).
% 77 [] point(point2).
% 78 [] point(point3).
% 79 [] line(a_line).
% 80 [] on(point1,a_line).
% 81 [] on(point2,a_line).
% 82 [] -on(point3,a_line).
% 83 [] -equal(point1,point2).
% 84 [] -equal(point1,point3).
% 85 [] -equal(point2,point3).
% 86 [] collinear(point1,point2,point3).
% 708 [hyper:74,86,cut:78,cut:76,cut:77,cut:85,cut:83,cut:84] line(line_through_3_points(point1,point2,point3)).
% 1467 [hyper:71,86,cut:78,cut:76,cut:77,cut:85,cut:83,cut:84] on(point1,line_through_3_points(point1,point2,point3)).
% 1585 [hyper:72,86,cut:78,cut:76,cut:77,cut:85,cut:83,cut:84] on(point2,line_through_3_points(point1,point2,point3)).
% 2454 [hyper:73,86,cut:78,cut:76,cut:77,cut:85,cut:83,cut:84] on(point3,line_through_3_points(point1,point2,point3)).
% 2861 [hyper:48,1585,708,1467,80,cut:77,cut:76,cut:81,cut:79,cut:83] equal(a_line,line_through_3_points(point1,point2,point3)).
% 2862 [para:2861.1.2,2454.1.2,cut:82] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 31
% clause depth limited to 2
% seconds given: 25
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    70
%  derived clauses:   4856
%  kept clauses:      119
%  kept size sum:     1390
%  kept mid-nuclei:   2466
%  kept new demods:   0
%  forw unit-subs:    1260
%  forw double-subs: 259
%  forw overdouble-subs: 15
%  backward subs:     0
%  fast unit cutoff:  1806
%  full unit cutoff:  0
%  dbl  unit cutoff:  152
%  real runtime  :  0.14
%  process. runtime:  0.13
% specific non-discr-tree subsumption statistics: 
%  tried:           3379
%  length fails:    0
%  strength fails:  578
%  predlist fails:  2179
%  aux str. fails:  180
%  by-lit fails:    4
%  full subs tried: 423
%  full subs fail:  423
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GEO/GEO077-4+eq_r.in")
% 
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