%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET138-6 : 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 : art10.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 70.0s
% Output   : Assurance 70.0s
% 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/SET138-6+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(97,40,0,194,0,1,463012,4,1878,463864,5,2502,463865,1,2504,463865,50,2510,463865,40,2510,463962,0,2511,478648,3,2962,481099,4,3187,495456,5,3412,495457,5,3412,495457,1,3412,495457,50,3414,495457,40,3414,495554,0,3414,519677,3,3865,522903,4,4090,529559,5,4315,529559,5,4315,529559,1,4315,529559,50,4317,529559,40,4317,529656,0,4317,555838,3,5068,559706,4,5444,570525,5,5818,570526,1,5818,570526,50,5821,570526,40,5821,570623,0,5821,600240,3,6572,604745,4,6948)
% 
% 
% START OF PROOF
% 570536 [] member(X,unordered_pair(X,Y)) | -member(X,universal_class).
% 570539 [] equal(unordered_pair(X,X),singleton(X)).
% 570548 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 570551 [] -member(X,complement(Y)) | -member(X,Y).
% 570552 [] member(X,complement(Y)) | -member(X,universal_class) | member(X,Y).
% 570553 [] equal(complement(intersection(complement(X),complement(Y))),union(X,Y)).
% 570619 [] equal(union(singleton(X),Y),set_builder(X,Y)).
% 570620 [] member(u,universal_class).
% 570623 [] -member(u,set_builder(u,set_builder(v,set_builder(w,null_class)))).
% 570625 [binary:570536.2,570620] member(u,unordered_pair(u,X)).
% 570633 [binary:570552.2,570620] member(u,complement(X)) | member(u,X).
% 570822 [para:570539.1.1,570625.1.2] member(u,singleton(u)).
% 570835 [binary:570551.2,570822] -member(u,complement(singleton(u))).
% 571300 [para:570553.1.1,570633.1.2] member(u,intersection(complement(X),complement(Y))) | member(u,union(X,Y)).
% 571458 [binary:570548.2,570835] -member(u,intersection(complement(singleton(u)),X)).
% 615212 [binary:571458,571300,demod:570619,slowcut:570623] 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:    5198
%  derived clauses:   880516
%  kept clauses:      182785
%  kept size sum:     0
%  kept mid-nuclei:   50301
%  kept new demods:   339
%  forw unit-subs:    216632
%  forw double-subs: 38648
%  forw overdouble-subs: 4673
%  backward subs:     215
%  fast unit cutoff:  2701
%  full unit cutoff:  300
%  dbl  unit cutoff:  320
%  real runtime  :  71.44
%  process. runtime:  71.41
% specific non-discr-tree subsumption statistics: 
%  tried:           182454
%  length fails:    11170
%  strength fails:  21013
%  predlist fails:  113308
%  aux str. fails:  1370
%  by-lit fails:    445
%  full subs tried: 34117
%  full subs fail:  29412
% 
% ; 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/SET138-6+eq_r.in")
% 
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