%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : GEO051-3 : 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 : art06.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 59.9s
% Output   : Assurance 59.9s
% 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/GEO051-3+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)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(83,40,0,166,0,0,251029,4,1885,306727,5,2501,306727,1,2501,306727,50,2504,306727,40,2504,306810,0,2504,329790,3,2955,335510,4,3189,349646,5,3418,349647,5,3419,349647,1,3419,349647,50,3420,349647,40,3420,349730,0,3420,368368,3,3874,374117,4,4099,379782,5,4321,379782,5,4321,379782,1,4321,379782,50,4323,379782,40,4323,379865,0,4323,404638,3,5075,412478,4,5467,420996,5,5833,420998,5,5834,420998,1,5834,420998,50,5835,420998,40,5835,421081,0,5835)
% 
% 
% START OF PROOF
% 421053 [] -between(X,Y,Z) | -between(X,U,Y) | between(U,Y,Z).
% 421076 [] -between(X,Y,Z) | -between(X,Y,U) | between(X,Z,U) | between(X,U,Z) | equal(X,Y).
% 421077 [] between(u,v,w).
% 421078 [] between(u,v,x).
% 421079 [] -equal(u,v).
% 421080 [] -between(v,w,x).
% 421081 [] -between(v,x,w).
% 421102 [binary:421076.5,421079] -between(u,v,X) | -between(u,v,Y) | between(u,X,Y) | between(u,Y,X).
% 421131 [binary:421053.2,421077] -between(u,w,X) | between(v,w,X).
% 421184 [binary:421053.2,421078] -between(u,x,X) | between(v,x,X).
% 427730 [binary:421080,421131.2] -between(u,w,x).
% 427761 [binary:421102.3,427730,cut:421078,cut:421077] between(u,x,w).
% 440102 [binary:421081,421184.2,cut:427761] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using sos strategy
% using double strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 15
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    3097
%  derived clauses:   940754
%  kept clauses:      144133
%  kept size sum:     399547
%  kept mid-nuclei:   265759
%  kept new demods:   369
%  forw unit-subs:    222167
%  forw double-subs: 74276
%  forw overdouble-subs: 13016
%  backward subs:     48
%  fast unit cutoff:  55183
%  full unit cutoff:  86
%  dbl  unit cutoff:  310
%  real runtime  :  60.82
%  process. runtime:  60.72
% specific non-discr-tree subsumption statistics: 
%  tried:           13773174
%  length fails:    558457
%  strength fails:  1891094
%  predlist fails:  7942747
%  aux str. fails:  206392
%  by-lit fails:    93555
%  full subs tried: 3061419
%  full subs fail:  3048886
% 
% ; 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/GEO051-3+eq_r.in")
% 
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