%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET209-6 : 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 427.4s
% Output : Assurance 427.4s
% 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/SET209-6+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(115,40,2,230,0,2,334807,4,2126,335536,5,2804,335537,1,2806,335537,50,2813,335537,40,2813,335652,0,2813,360426,3,4214,363660,4,4916,377571,5,5614,377572,5,5614,377572,1,5614,377572,50,5617,377572,40,5617,377687,0,5617,404864,3,6169,408138,4,6462,413753,5,6718,413754,5,6718,413755,1,6718,413755,50,6720,413755,40,6720,413870,0,6720,443332,3,7591,446815,4,8038,454644,5,8421,454646,5,8422,454646,1,8422,454646,50,8424,454646,40,8424,454761,0,8424,503836,3,9275,509294,4,9700,513604,5,10125,513605,5,10126,513605,1,10126,513605,50,10128,513605,40,10128,513720,0,10128,633266,3,14480,640106,4,16655,661902,5,18829,661903,1,18830,661903,50,18835,661903,40,18835,662018,0,18835,710631,3,20236,712398,4,20936,758845,5,21636,758845,1,21636,758845,50,21638,758845,40,21638,758960,0,21638,882078,3,24540,916577,4,25990,1100527,5,27439,1100528,5,27442,1100531,1,27442,1100531,50,27450,1100531,40,27450,1100646,0,27451,1140253,3,28874,1150339,4,29552,1169109,5,30252,1169109,5,30253,1169110,1,30253,1169110,50,30256,1169110,40,30256,1169225,0,30256,1196345,3,30807,1198955,4,31082,1203472,5,31357,1203472,5,31358,1203472,1,31358,1203472,50,31359,1203472,40,31359,1203587,0,31359,1250920,3,32760,1253334,4,33461,1303524,5,34160,1303525,1,34160,1303525,50,34161,1303525,40,34161,1303640,0,34161,1323412,3,35562,1326188,4,36262,1338781,5,36962,1338782,5,36963,1338782,1,36963,1338782,50,36965,1338782,40,36965,1338897,0,36965,1379670,3,38367,1380838,4,39066,1386119,5,39766,1386120,1,39766,1386120,50,39768,1386120,40,39768,1386235,0,39768,1413361,3,40619,1415322,4,41044,1426409,5,41469,1426409,5,41469,1426409,1,41469,1426409,50,41471,1426409,40,41471,1426524,0,41471,1469120,3,42872,1473964,4,43579)
%
%
% START OF PROOF
% 1426411 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 1426412 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 1426413 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 1426424 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(X,Z).
% 1426425 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(Y,U).
% 1426426 [] member(ordered_pair(X,Y),cross_product(Z,U)) | -member(Y,U) | -member(X,Z).
% 1426427 [] equal(ordered_pair(first(X),second(X)),X) | -member(X,cross_product(Y,Z)).
% 1426523 [] subclass(y,z).
% 1426524 [] -subclass(cross_product(x,y),cross_product(x,z)).
% 1426537 [binary:1426523,1426411.2] -member(X,y) | member(X,z).
% 1426550 [binary:1426524,1426412.2] member(not_subclass_element(cross_product(x,y),cross_product(x,z)),cross_product(x,y)).
% 1426565 [binary:1426524,1426413.2] -member(not_subclass_element(cross_product(x,y),cross_product(x,z)),cross_product(x,z)).
% 1426825 [para:1426427.1.1,1426424.1.1,factor] -member(X,cross_product(Y,Z)) | member(first(X),Y).
% 1426828 [para:1426427.1.1,1426425.1.1,factor] -member(X,cross_product(Y,Z)) | member(second(X),Z).
% 1426832 [para:1426427.1.1,1426426.1.1] -member(X,cross_product(Y,Z)) | member(X,cross_product(U,V)) | -member(second(X),V) | -member(first(X),U).
% 1453169 [binary:1426550,1426825] member(first(not_subclass_element(cross_product(x,y),cross_product(x,z))),x).
% 1453595 [binary:1426550,1426828] member(second(not_subclass_element(cross_product(x,y),cross_product(x,z))),y).
% 1454182 [binary:1426565,1426832.2,cut:1453169,slowcut:1426550] -member(second(not_subclass_element(cross_product(x,y),cross_product(x,z))),z).
% 1475130 [binary:1453595,1426537,cut:1454182] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using term-depth-order strategy
% not using sos strategy
% using unit paramodulation strategy
% using unit strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 28
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 32729
% derived clauses: 3322396
% kept clauses: 656663
% kept size sum: 612955
% kept mid-nuclei: 389140
% kept new demods: 1877
% forw unit-subs: 1254881
% forw double-subs: 429802
% forw overdouble-subs: 147771
% backward subs: 4097
% fast unit cutoff: 48671
% full unit cutoff: 7801
% dbl unit cutoff: 1353
% real runtime : 439.8
% process. runtime: 435.99
% specific non-discr-tree subsumption statistics:
% tried: 17871340
% length fails: 540968
% strength fails: 3397309
% predlist fails: 11352181
% aux str. fails: 313049
% by-lit fails: 145177
% full subs tried: 2024414
% full subs fail: 1875197
%
% ; 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/SET209-6+eq_r.in")
%
%------------------------------------------------------------------------------