%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : GEO067-3 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm  : add_equality:r
% Format   : otter:hypothesis:set(auto),clear(print_given)
% Command  : gandalf-wrapper -time %d %s

% Computer : art10.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/GEO067-3+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 3 15)
% (binary-unit 9 #f 3 15)
% (binary-double 9 #f 3 15)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 3 15)
% (binary-order 25 #f 3 15)
% (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)
% 
% 
% SOS clause 
% -colinear(x,x,y) | -colinear(x,y,x) | -colinear(y,x,x) | equal(x,y).
% was split for some strategies as: 
% -colinear(x,x,y).
% -colinear(x,y,x).
% -colinear(y,x,x).
% equal(x,y).
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(99,40,2,198,0,2)
% 
% 
% START OF PROOF
% 119 [] -between(X,Y,Z) | colinear(X,Y,Z).
% 120 [] -between(X,Y,Z) | colinear(Z,X,Y).
% 121 [] -between(X,Y,Z) | colinear(Y,Z,X).
% 149 [] between(X,Y,Y).
% 150 [] -between(X,Y,Z) | between(U,Y,Z) | -equal(X,Z).
% 152 [] between(X,X,Y).
% 188 [] -between(X,Y,Z) | colinear(Z,Y,X).
% 190 [] -between(X,Y,Z) | colinear(Y,X,Z).
% 197 [] -colinear(y,x,x) | -colinear(x,x,y) | -colinear(x,y,x) | equal(x,y).
% 198 [] -colinear(y,x,x) | -colinear(x,z,y) | -colinear(x,x,y) | -colinear(x,y,x).
% 221 [hyper:119,149] colinear(X,Y,Y).
% 222 [hyper:120,149] colinear(X,Y,X).
% 223 [hyper:121,149] colinear(X,X,Y).
% 254 [input:197,cut:221,cut:223,cut:222] equal(x,y).
% 280 [hyper:150,152,254] between(X,x,y).
% 370 [hyper:119,280] colinear(X,x,y).
% 372 [hyper:121,280] colinear(x,y,X).
% 450 [hyper:188,280] colinear(y,x,X).
% 452 [hyper:190,280] colinear(x,X,y).
% 573 [hyper:198,370,cut:452,cut:450,cut:372] 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 15
% clause depth limited to 3
% seconds given: 12
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    17
%  derived clauses:   707
%  kept clauses:      137
%  kept size sum:     2172
%  kept mid-nuclei:   228
%  kept new demods:   12
%  forw unit-subs:    277
%  forw double-subs: 35
%  forw overdouble-subs: 2
%  backward subs:     2
%  fast unit cutoff:  7
%  full unit cutoff:  4
%  dbl  unit cutoff:  3
%  real runtime  :  0.2
%  process. runtime:  0.2
% specific non-discr-tree subsumption statistics: 
%  tried:           371
%  length fails:    15
%  strength fails:  248
%  predlist fails:  43
%  aux str. fails:  0
%  by-lit fails:    0
%  full subs tried: 65
%  full subs fail:  63
% 
% ; 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/GEO067-3+eq_r.in")
% 
%------------------------------------------------------------------------------