%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET124-6 : TPTP v3.4.2. Bugfixed v2.1.0.
% 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 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/SET/SET124-6+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 6 9)
% (binary-unit 9 #f 6 9)
% (binary-double 9 #f 6 9)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 6 9)
% (binary-order 25 #f 6 9)
% (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(95,40,1,190,0,1,402225,4,1885,404918,5,2503,404919,1,2506,404919,50,2512,404919,40,2512,405014,0,2512,419027,3,2968,421027,4,3188,428370,5,3413,428370,5,3413,428371,1,3413,428371,50,3415,428371,40,3415,428466,0,3415,456770,3,3867,460770,4,4091,469433,5,4316,469434,5,4316,469435,1,4316,469435,50,4318,469435,40,4318,469530,0,4318,503868,3,5090,507886,4,5444,515186,5,5819,515187,5,5820,515187,1,5820,515187,50,5822,515187,40,5822,515282,0,5822,546820,3,6573,551221,4,6948)
% 
% 
% START OF PROOF
% 515197 [] member(X,unordered_pair(X,Y)) | -member(X,universal_class).
% 515200 [] equal(unordered_pair(X,X),singleton(X)).
% 515209 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 515212 [] -member(X,complement(Y)) | -member(X,Y).
% 515213 [] member(X,complement(Y)) | -member(X,universal_class) | member(X,Y).
% 515214 [] equal(complement(intersection(complement(X),complement(Y))),union(X,Y)).
% 515280 [] equal(union(singleton(X),Y),set_builder(X,Y)).
% 515281 [] member(x,universal_class).
% 515282 [] -member(x,set_builder(x,z)).
% 515284 [binary:515197.2,515281] member(x,unordered_pair(x,X)).
% 515292 [binary:515213.2,515281] member(x,complement(X)) | member(x,X).
% 515336 [para:515200.1.1,515284.1.2] member(x,singleton(x)).
% 515356 [binary:515212.2,515336] -member(x,complement(singleton(x))).
% 515542 [binary:515209.2,515356] -member(x,intersection(complement(singleton(x)),X)).
% 515841 [para:515214.1.1,515292.1.2] member(x,intersection(complement(X),complement(Y))) | member(x,union(X,Y)).
% 557777 [binary:515542,515841,demod:515280,slowcut:515282] 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:    5585
%  derived clauses:   904506
%  kept clauses:      195889
%  kept size sum:     0
%  kept mid-nuclei:   36878
%  kept new demods:   395
%  forw unit-subs:    271942
%  forw double-subs: 49534
%  forw overdouble-subs: 7473
%  backward subs:     237
%  fast unit cutoff:  4439
%  full unit cutoff:  1286
%  dbl  unit cutoff:  261
%  real runtime  :  72.1
%  process. runtime:  71.0
% specific non-discr-tree subsumption statistics: 
%  tried:           419086
%  length fails:    21591
%  strength fails:  61574
%  predlist fails:  268700
%  aux str. fails:  5269
%  by-lit fails:    1010
%  full subs tried: 59514
%  full subs fail:  51936
% 
% ; 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/SET/SET124-6+eq_r.in")
% 
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