TSTP Solution File: SET287-6 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET287-6 : 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 397.6s
% Output : Assurance 397.6s
% 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/SET287-6+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(115,40,1,230,0,1,364725,4,2117,368675,5,2804,368676,1,2806,368676,50,2813,368676,40,2813,368791,0,2813,392938,3,4214,396702,4,4914,411404,5,5614,411405,5,5614,411405,1,5614,411405,50,5617,411405,40,5617,411520,0,5617,441818,3,6186,445384,4,6447,450936,5,6718,450936,5,6718,450936,1,6718,450936,50,6720,450936,40,6720,451051,0,6721,484064,3,7587,488716,4,7998,497643,5,8422,497644,5,8423,497644,1,8423,497644,50,8425,497644,40,8425,497759,0,8426,541504,3,9277,546237,4,9702,551535,5,10127,551535,1,10127,551535,50,10129,551535,40,10129,551650,0,10129,678079,3,14480,685838,4,16655,699333,5,18831,699334,1,18831,699334,50,18834,699334,40,18834,699449,0,18834,753310,3,20235,755436,4,20935,785777,5,21635,785778,1,21635,785778,50,21637,785778,40,21637,785893,0,21637,908317,3,24543,937262,4,25990,1039188,5,27438,1039189,5,27440,1039190,1,27440,1039190,50,27448,1039190,40,27448,1039305,0,27448,1077211,3,28849,1087392,4,29549,1102220,5,30251,1102221,5,30252,1102222,1,30252,1102222,50,30255,1102222,40,30255,1102337,0,30255,1133227,3,30807,1140084,4,31081,1148547,5,31358,1148547,5,31358,1148547,1,31358,1148547,50,31361,1148547,40,31361,1148662,0,31361,1205326,3,32764,1206974,4,33463,1241182,5,34162,1241183,5,34162,1241183,1,34162,1241183,50,34164,1241183,40,34164,1241298,0,34164,1260724,3,35569,1263427,4,36267,1275187,5,36965,1275188,5,36966,1275188,1,36966,1275188,50,36968,1275188,40,36968,1275303,0,36968,1314035,3,38369,1315153,4,39069,1320676,5,39769,1320677,1,39769,1320677,50,39771,1320677,40,39771,1320792,0,39771)
%
%
% START OF PROOF
% 1320678 [] equal(X,X).
% 1320679 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 1320682 [] subclass(X,universal_class).
% 1320699 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 1320700 [] -member(X,intersection(Y,Z)) | member(X,Z).
% 1320702 [] -member(X,complement(Y)) | -member(X,Y).
% 1320706 [] equal(intersection(X,cross_product(Y,Z)),restrict(X,Y,Z)).
% 1320708 [] -equal(restrict(X,singleton(Y),universal_class),null_class) | -member(Y,domain_of(X)).
% 1320744 [] member(regular(X),X) | equal(X,null_class).
% 1320791 [] subclass(x,y).
% 1320792 [] -equal(domain_of(intersection(complement(y),x)),null_class).
% 1320804 [binary:1320682,1320679.2] member(X,universal_class) | -member(X,Y).
% 1320805 [binary:1320791,1320679.2] -member(X,x) | member(X,y).
% 1321082 [binary:1320805.2,1320702.2] -member(X,complement(y)) | -member(X,x).
% 1321090 [binary:1320804,1320702.2,factor] -member(X,complement(universal_class)).
% 1321193 [binary:1321090,1320699.2] -member(X,intersection(complement(universal_class),Y)).
% 1321224 [binary:1320699.2,1321082] -member(X,intersection(complement(y),Y)) | -member(X,x).
% 1322133 [binary:1321090,1320744] equal(complement(universal_class),null_class).
% 1322142 [binary:1321193,1320744,demod:1322133] equal(intersection(null_class,X),null_class).
% 1322220 [para:1322142.1.1,1320706.1.1] equal(null_class,restrict(null_class,X,Y)).
% 1322478 [para:1322220.1.2,1320708.1.1,cut:1320678] -member(X,domain_of(null_class)).
% 1322527 [binary:1320744,1322478] equal(domain_of(null_class),null_class).
% 1345043 [binary:1320700.2,1321224.2,factor] -member(X,intersection(complement(y),x)).
% 1345144 [binary:1320744,1345043] equal(intersection(complement(y),x),null_class).
% 1345161 [para:1345144.1.1,1320792.1.1.1,demod:1322527,cut:1320678] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using weight-order strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 17
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 30080
% derived clauses: 2984482
% kept clauses: 614766
% kept size sum: 304583
% kept mid-nuclei: 250767
% kept new demods: 1490
% forw unit-subs: 946657
% forw double-subs: 514671
% forw overdouble-subs: 172909
% backward subs: 4639
% fast unit cutoff: 61603
% full unit cutoff: 6757
% dbl unit cutoff: 1952
% real runtime : 408.44
% process. runtime: 405.30
% specific non-discr-tree subsumption statistics:
% tried: 18165013
% length fails: 774536
% strength fails: 3604232
% predlist fails: 10399874
% aux str. fails: 328665
% by-lit fails: 246719
% full subs tried: 2650269
% full subs fail: 2483932
%
% ; 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/SET287-6+eq_r.in")
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