%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET068-7 : 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 : art07.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/SET068-7+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(110,40,1,220,0,2,556278,4,2118,556918,5,2804,556919,1,2806,556919,50,2813,556919,40,2813,557029,0,2813)
% 
% 
% START OF PROOF
% 556922 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 556923 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 556928 [] -member(X,unordered_pair(Y,Z)) | equal(X,Y) | equal(X,Z).
% 556930 [] member(X,unordered_pair(Y,X)) | -member(X,universal_class).
% 556932 [] equal(unordered_pair(X,X),singleton(X)).
% 556936 [] member(ordered_pair(X,Y),cross_product(Z,U)) | -member(Y,U) | -member(X,Z).
% 557015 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(Y,universal_class).
% 557029 [] -subclass(singleton(y),unordered_pair(x,y)).
% 557032 [input:556936,factor:binarydemod:557015] member(X,universal_class) | -member(X,Y).
% 557050 [binary:557029,556922.2] member(not_subclass_element(singleton(y),unordered_pair(x,y)),singleton(y)).
% 557062 [para:556932.1.2,557029.1.1] -subclass(unordered_pair(y,y),unordered_pair(x,y)).
% 557065 [para:556932.1.2,557050.1.2] member(not_subclass_element(singleton(y),unordered_pair(x,y)),unordered_pair(y,y)).
% 557131 [binary:556923.2,557062] -member(not_subclass_element(unordered_pair(y,y),unordered_pair(x,y)),unordered_pair(x,y)).
% 560879 [binary:556928,557065] equal(not_subclass_element(singleton(y),unordered_pair(x,y)),y).
% 560881 [binary:557032.2,557065,demod:560879] member(y,universal_class).
% 560894 [binary:556930.2,560881] member(y,unordered_pair(X,y)).
% 563380 [para:556932.1.1,557131.1.1.1,demod:560879,cut:560894] 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:    1417
%  derived clauses:   664935
%  kept clauses:      83228
%  kept size sum:     58564
%  kept mid-nuclei:   8652
%  kept new demods:   168
%  forw unit-subs:    91335
%  forw double-subs: 10232
%  forw overdouble-subs: 344
%  backward subs:     14
%  fast unit cutoff:  412
%  full unit cutoff:  305
%  dbl  unit cutoff:  92
%  real runtime  :  28.94
%  process. runtime:  28.93
% specific non-discr-tree subsumption statistics: 
%  tried:           10950
%  length fails:    1788
%  strength fails:  26
%  predlist fails:  6572
%  aux str. fails:  51
%  by-lit fails:    10
%  full subs tried: 2501
%  full subs fail:  2153
% 
% ; 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/SET068-7+eq_r.in")
% 
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