%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET076-7 : 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 : 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 49.0s
% Output   : Assurance 49.0s
% 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/SET076-7+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(122,40,2,244,0,2,572506,4,2104,712190,5,2803,712191,1,2805,712191,50,2811,712191,40,2811,712313,0,2812,746050,3,4215,751533,4,4914,772196,5,5613,772196,5,5614,772197,1,5614,772197,50,5617,772197,40,5617,772319,0,5618)
% 
% 
% START OF PROOF
% 772200 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 772201 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 772206 [] -member(X,unordered_pair(Y,Z)) | equal(X,Y) | equal(X,Z).
% 772212 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(X,Z).
% 772214 [] member(ordered_pair(X,Y),cross_product(Z,U)) | -member(Y,U) | -member(X,Z).
% 772317 [] member(x,z).
% 772318 [] member(y,z).
% 772319 [] -subclass(unordered_pair(x,y),z).
% 772321 [input:772214,factor] member(ordered_pair(X,X),cross_product(Y,Y)) | -member(X,Y).
% 772355 [binary:772319,772201.2] -member(not_subclass_element(unordered_pair(x,y),z),z).
% 772402 [binary:772200,772206] equal(not_subclass_element(unordered_pair(X,Y),Z),Y) | equal(not_subclass_element(unordered_pair(X,Y),Z),X) | subclass(unordered_pair(X,Y),Z).
% 772468 [binary:772201,772212.2] -member(ordered_pair(not_subclass_element(X,Y),Z),cross_product(Y,U)) | subclass(X,Y).
% 777281 [binary:772317,772321.2] member(ordered_pair(x,x),cross_product(z,z)).
% 781058 [para:772402.1.1,772355.1.1,cut:772318,cut:772319] equal(not_subclass_element(unordered_pair(x,y),z),x).
% 781059 [para:772402.2.1,772355.1.1,demod:781058,cut:772317,cut:772319] equal(x,y).
% 781071 [para:781059.1.2,772319.1.1.2] -subclass(unordered_pair(x,x),z).
% 782108 [binary:772402.3,781071] equal(not_subclass_element(unordered_pair(x,x),z),x).
% 790185 [binary:781071,772468.2,demod:782108,slowcut:777281] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% not using sos strategy
% using double 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: 11
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    3458
%  derived clauses:   1022319
%  kept clauses:      133681
%  kept size sum:     585701
%  kept mid-nuclei:   169876
%  kept new demods:   497
%  forw unit-subs:    207451
%  forw double-subs: 20128
%  forw overdouble-subs: 1734
%  backward subs:     86
%  fast unit cutoff:  2342
%  full unit cutoff:  299
%  dbl  unit cutoff:  112
%  real runtime  :  59.63
%  process. runtime:  58.59
% specific non-discr-tree subsumption statistics: 
%  tried:           62885
%  length fails:    7776
%  strength fails:  4838
%  predlist fails:  33851
%  aux str. fails:  582
%  by-lit fails:    79
%  full subs tried: 15191
%  full subs fail:  13608
% 
% ; 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/SET076-7+eq_r.in")
% 
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