%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET098-7 : 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 : art02.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 20.0s
% Output   : Assurance 20.0s
% 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/SET098-7+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(145,40,1,290,0,1,426759,4,2102,545845,5,2803,545846,1,2805,545846,50,2811,545846,40,2811,545991,0,2811)
% 
% 
% START OF PROOF
% 545869 [] -member(X,intersection(Y,Z)) | member(X,Z).
% 545988 [] member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X,null_class))),X),null_class),intersection(complement(singleton(not_subclass_element(X,null_class))),X)) | equal(singleton(not_subclass_element(X,null_class)),X) | equal(X,null_class).
% 545989 [] -member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x).
% 545990 [] -equal(singleton(not_subclass_element(x,null_class)),x).
% 545991 [] -equal(x,null_class).
% 546260 [binary:545989,545869.2] -member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(X,x)).
% 552592 [binary:545991,545988.3,cut:545990,cut:546260] 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:    1312
%  derived clauses:   748654
%  kept clauses:      83502
%  kept size sum:     64953
%  kept mid-nuclei:   131671
%  kept new demods:   708
%  forw unit-subs:    164409
%  forw double-subs: 18109
%  forw overdouble-subs: 6570
%  backward subs:     16
%  fast unit cutoff:  1651
%  full unit cutoff:  124
%  dbl  unit cutoff:  159
%  real runtime  :  28.61
%  process. runtime:  28.61
% specific non-discr-tree subsumption statistics: 
%  tried:           157047
%  length fails:    22769
%  strength fails:  10934
%  predlist fails:  16916
%  aux str. fails:  25807
%  by-lit fails:    6077
%  full subs tried: 51973
%  full subs fail:  45619
% 
% ; 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/SET098-7+eq_r.in")
% 
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