%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SET076-6 : 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 30.0s
% Output   : Assurance 30.0s
% 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/SET076-6+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(95,40,1,190,0,1,494876,4,1885,501053,5,2504,501054,1,2506,501054,50,2513,501054,40,2513,501149,0,2513,514528,3,2969,517584,4,3190,530531,62,3414,530531,5,3414,530532,1,3414,530532,50,3416,530532,40,3416,530627,0,3416)
% 
% 
% START OF PROOF
% 530535 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 530536 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 530541 [] -member(X,unordered_pair(Y,Z)) | equal(X,Y) | equal(X,Z).
% 530547 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(X,Z).
% 530549 [] member(ordered_pair(X,Y),cross_product(Z,U)) | -member(Y,U) | -member(X,Z).
% 530625 [] member(x,z).
% 530626 [] member(y,z).
% 530627 [] -subclass(unordered_pair(x,y),z).
% 530629 [input:530549,factor] member(ordered_pair(X,X),cross_product(Y,Y)) | -member(X,Y).
% 530662 [binary:530627,530536.2] -member(not_subclass_element(unordered_pair(x,y),z),z).
% 530702 [binary:530535,530541] 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).
% 530758 [binary:530536,530547.2] -member(ordered_pair(not_subclass_element(X,Y),Z),cross_product(Y,U)) | subclass(X,Y).
% 534350 [binary:530625,530629.2] member(ordered_pair(x,x),cross_product(z,z)).
% 538218 [para:530702.1.1,530662.1.1,cut:530626,cut:530627] equal(not_subclass_element(unordered_pair(x,y),z),x).
% 538219 [para:530702.2.1,530662.1.1,demod:538218,cut:530625,cut:530627] equal(x,y).
% 538248 [para:538219.1.2,530627.1.1.2] -subclass(unordered_pair(x,x),z).
% 538815 [binary:530702.3,538248] equal(not_subclass_element(unordered_pair(x,x),z),x).
% 544089 [binary:538248,530758.2,demod:538815,slowcut:534350] 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: 9
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    2442
%  derived clauses:   685620
%  kept clauses:      106327
%  kept size sum:     314496
%  kept mid-nuclei:   21181
%  kept new demods:   189
%  forw unit-subs:    125318
%  forw double-subs: 14003
%  forw overdouble-subs: 1416
%  backward subs:     84
%  fast unit cutoff:  827
%  full unit cutoff:  54
%  dbl  unit cutoff:  107
%  real runtime  :  35.83
%  process. runtime:  35.79
% specific non-discr-tree subsumption statistics: 
%  tried:           36620
%  length fails:    3412
%  strength fails:  3370
%  predlist fails:  21417
%  aux str. fails:  220
%  by-lit fails:    79
%  full subs tried: 7801
%  full subs fail:  6507
% 
% ; 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/SET076-6+eq_r.in")
% 
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