%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET125-6 : 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 : art04.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 69.5s
% Output   : Assurance 69.5s
% 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/SET125-6+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(95,40,0,190,0,0,512760,4,1878,513317,5,2501,513317,1,2501,513317,50,2507,513317,40,2507,513412,0,2507,528046,3,2969,529979,4,3183,539078,5,3408,539079,5,3408,539080,1,3408,539080,50,3410,539080,40,3410,539175,0,3410,565292,3,3866,568834,4,4086,575327,5,4311,575328,5,4311,575328,1,4311,575328,50,4313,575328,40,4313,575423,0,4313,604165,3,5083,608164,4,5453,618112,5,5814,618114,5,5814,618114,1,5814,618114,50,5817,618114,40,5817,618209,0,5817,653530,3,6569,657804,4,6943,664380,5,7318,664381,5,7319,664382,1,7319,664382,50,7322,664382,40,7322,664477,0,7322)
% 
% 
% START OF PROOF
% 664384 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 664387 [] subclass(X,universal_class).
% 664405 [] -member(X,intersection(Y,Z)) | member(X,Z).
% 664407 [] -member(X,complement(Y)) | -member(X,Y).
% 664408 [] member(X,complement(Y)) | -member(X,universal_class) | member(X,Y).
% 664409 [] equal(complement(intersection(complement(X),complement(Y))),union(X,Y)).
% 664475 [] equal(union(singleton(X),Y),set_builder(X,Y)).
% 664476 [] member(x,z).
% 664477 [] -member(x,set_builder(y,z)).
% 664478 [binary:664384,664476] -subclass(z,X) | member(x,X).
% 664484 [binary:664407.2,664476] -member(x,complement(z)).
% 664490 [binary:664405.2,664484] -member(x,intersection(X,complement(z))).
% 664503 [binary:664387,664478] member(x,universal_class).
% 665075 [binary:664408.3,664490,cut:664503] member(x,complement(intersection(X,complement(z)))).
% 694774 [para:664409.1.1,665075.1.2] member(x,union(X,z)).
% 694851 [para:664475.1.1,694774.1.2,slowcut:664477] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 9
% clause depth limited to 6
% seconds given: 50
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    6292
%  derived clauses:   1036241
%  kept clauses:      221599
%  kept size sum:     513123
%  kept mid-nuclei:   40497
%  kept new demods:   498
%  forw unit-subs:    279416
%  forw double-subs: 53000
%  forw overdouble-subs: 7270
%  backward subs:     237
%  fast unit cutoff:  4121
%  full unit cutoff:  339
%  dbl  unit cutoff:  316
%  real runtime  :  79.37
%  process. runtime:  78.54
% specific non-discr-tree subsumption statistics: 
%  tried:           402528
%  length fails:    20728
%  strength fails:  46432
%  predlist fails:  235416
%  aux str. fails:  5633
%  by-lit fails:    2100
%  full subs tried: 89375
%  full subs fail:  81942
% 
% ; 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/SET125-6+eq_r.in")
% 
%------------------------------------------------------------------------------