%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET451-6 : 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 39.5s
% Output   : Assurance 39.5s
% 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/SET451-6+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: neq
% detected subclass: big
% 
% strategies selected: 
% (hyper 28 #f 6 9)
% (binary-unit 28 #f 6 9)
% (binary-double 11 #f 6 9)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 6 9)
% (binary-order 28 #f 6 9)
% (binary-posweight-order 58 #f)
% (binary-posweight-lex-big-order 28 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order-sos 28 #t)
% (binary-unit-uniteq 28 #f)
% (binary-weightorder 28 #f)
% (binary-weightorder-sos 17 #f)
% (binary-order 28 #f)
% (hyper-order 17 #f)
% (binary 141 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(114,40,0,228,0,0,381874,4,2118,387896,5,2801,387897,1,2801,387897,50,2808,387897,40,2808,388011,0,2808)
% 
% 
% START OF PROOF
% 387900 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 387901 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 387919 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 387927 [] equal(intersection(cross_product(X,Y),Z),restrict(Z,X,Y)).
% 387972 [] equal(restrict(restrict(complement(compose(complement(element_relation),inverse(element_relation))),universal_class,universal_class),universal_class,universal_class),subset_relation).
% 388011 [] -subclass(subset_relation,cross_product(universal_class,universal_class)).
% 388034 [binary:388011,387900.2] member(not_subclass_element(subset_relation,cross_product(universal_class,universal_class)),subset_relation).
% 388042 [binary:388011,387901.2] -member(not_subclass_element(subset_relation,cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)).
% 388287 [binary:388042,387919.2,demod:387927] -member(not_subclass_element(subset_relation,cross_product(universal_class,universal_class)),restrict(X,universal_class,universal_class)).
% 411431 [para:387972.1.1,388287.1.2,cut:388034] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% not using sos strategy
% using unit 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: 28
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    1994
%  derived clauses:   550781
%  kept clauses:      100143
%  kept size sum:     260739
%  kept mid-nuclei:   8523
%  kept new demods:   123
%  forw unit-subs:    97461
%  forw double-subs: 11894
%  forw overdouble-subs: 373
%  backward subs:     34
%  fast unit cutoff:  289
%  full unit cutoff:  0
%  dbl  unit cutoff:  48
%  real runtime  :  42.16
%  process. runtime:  41.61
% specific non-discr-tree subsumption statistics: 
%  tried:           19486
%  length fails:    1471
%  strength fails:  24
%  predlist fails:  12577
%  aux str. fails:  197
%  by-lit fails:    2
%  full subs tried: 5173
%  full subs fail:  4805
% 
% ; 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/SET451-6+eq_r.in")
% 
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