%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : GEO007-3 : 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 : art01.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 69.0s
% Output   : Assurance 69.0s
% 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/GEO007-3+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(84,40,0,168,0,1,247489,4,1879,315146,5,2502,315146,1,2502,315146,50,2505,315146,40,2505,315230,0,2505,341442,3,2956,347693,4,3181,364877,5,3406,364878,5,3407,364878,1,3407,364878,50,3408,364878,40,3408,364962,0,3408,384249,3,3859,390146,4,4084,395906,5,4314,395907,5,4315,395907,1,4315,395907,50,4316,395907,40,4316,395991,0,4316,421160,3,5075,428948,4,5465,437536,5,5828,437538,5,5829,437538,1,5829,437538,50,5830,437538,40,5830,437622,0,5830,478186,3,6583,486372,4,6956)
% 
% 
% START OF PROOF
% 437546 [] -between(X,Y,X) | equal(X,Y).
% 437585 [] -between(X,Y,Z) | between(U,Y,Z) | -equal(X,Z).
% 437586 [] -between(X,Y,Z) | between(Z,Y,X).
% 437587 [] between(X,X,Y).
% 437617 [] -between(X,Y,Z) | -between(X,Y,U) | between(Y,Z,U) | between(Y,U,Z) | equal(X,Y).
% 437618 [] -equal(a,c).
% 437619 [] between(d,a,c).
% 437620 [] between(e,a,c).
% 437621 [] -between(d,e,a).
% 437622 [] -between(e,d,a).
% 437625 [binary:437546.2,437618] -between(a,c,a).
% 437667 [binary:437586,437619] between(c,a,d).
% 437721 [binary:437586,437620] between(c,a,e).
% 437756 [binary:437586.2,437621] -between(a,e,d).
% 437768 [binary:437586.2,437622] -between(a,d,e).
% 437788 [binary:437585.2,437625] -between(X,c,a) | -equal(X,a).
% 437844 [binary:437617,437667] equal(c,a) | -between(c,a,X) | between(a,X,d) | between(a,d,X).
% 438922 [binary:437587,437788] -equal(c,a).
% 502388 [binary:437768,437844.4,cut:437756,cut:437721,cut:438922] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using sos strategy
% using unit paramodulation strategy
% using unit 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
% 
% 
% old unit clauses discarded
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    3717
%  derived clauses:   1041425
%  kept clauses:      183531
%  kept size sum:     0
%  kept mid-nuclei:   279420
%  kept new demods:   443
%  forw unit-subs:    252140
%  forw double-subs: 79082
%  forw overdouble-subs: 21366
%  backward subs:     89
%  fast unit cutoff:  62842
%  full unit cutoff:  136
%  dbl  unit cutoff:  412
%  real runtime  :  71.48
%  process. runtime:  70.45
% specific non-discr-tree subsumption statistics: 
%  tried:           15929748
%  length fails:    617362
%  strength fails:  2300172
%  predlist fails:  9136213
%  aux str. fails:  258882
%  by-lit fails:    142575
%  full subs tried: 3435934
%  full subs fail:  3416026
% 
% ; 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/GEO007-3+eq_r.in")
% 
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