TSTP Solution File: SET015-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET015-1 : 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 : art09.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 338.9s
% Output : Assurance 338.9s
% 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/SET015-1+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: nne
% detected subclass: medium
%
% strategies selected:
% (hyper 27 #f 2 5)
% (binary-unit 10 #f 2 5)
% (binary-double 16 #f 2 5)
% (binary 54 #t 2 5)
% (binary-order 27 #f 2 5)
% (binary-posweight-order 125 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 27 #f)
% (binary-weightorder 54 #f)
% (binary-order 54 #f)
% (hyper-order 43 #f)
% (binary 109 #t)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(22,40,1,44,0,1,26441,4,2056,58665,5,2702,58666,1,2702,58666,50,2702,58666,40,2702,58688,0,2703,58857,50,2703,58879,0,2703,64018,3,3154,64044,50,3159,64066,0,3159,71909,3,3411,73051,4,3536,73931,5,3660,73932,5,3660,73932,1,3660,73932,50,3661,73932,40,3661,73954,0,3661,105852,3,4462,109693,4,4862,112485,5,5262,112486,5,5262,112486,1,5262,112486,50,5263,112486,40,5263,112508,0,5263,144685,3,7968,147322,4,9314,149791,5,10664,149792,5,10664,149792,1,10664,149792,50,10664,149792,40,10664,149814,0,10664,205124,3,12027,205843,4,12690,211258,5,13365,211258,1,13365,211258,50,13366,211258,40,13366,211280,0,13366,568974,3,19618,662203,4,22743,691396,5,25867,691397,5,25874,691398,1,25874,691398,50,25886,691398,40,25886,691420,0,25886,781061,3,28588,785421,4,29937,830658,5,31287,830659,5,31288,830659,1,31288,830659,50,31292,830659,40,31292,830681,0,31292,851090,3,32643,854494,4,33318,858251,5,33993,858252,5,33993,858252,1,33993,858252,50,33996,858252,40,33996,858274,0,33996)
%
%
% START OF PROOF
% 858255 [] member(member_of_1_not_of_2(X,Y),X) | subset(X,Y).
% 858256 [] -member(member_of_1_not_of_2(X,Y),Y) | subset(X,Y).
% 858259 [] member(X,union(Y,Z)) | -member(X,Y).
% 858260 [] member(X,union(Y,Z)) | -member(X,Z).
% 858261 [] -member(X,union(Y,Z)) | member(X,Y) | member(X,Z).
% 858267 [] -subset(Y,X) | -subset(X,Y) | equal_sets(Y,X).
% 858274 [] -equal_sets(union(as,bs),union(bs,as)).
% 858291 [binary:858256,858259] -member(member_of_1_not_of_2(X,union(Y,Z)),Y) | subset(X,union(Y,Z)).
% 858293 [binary:858256,858260] -member(member_of_1_not_of_2(X,union(Y,Z)),Z) | subset(X,union(Y,Z)).
% 858295 [binary:858255,858261] member(member_of_1_not_of_2(union(X,Y),Z),Y) | member(member_of_1_not_of_2(union(X,Y),Z),X) | subset(union(X,Y),Z).
% 858367 [binary:858291,858295] member(member_of_1_not_of_2(union(X,Y),union(Y,Z)),X) | subset(union(X,Y),union(Y,Z)).
% 860042 [binary:858293,858367] subset(union(X,Y),union(Y,X)).
% 860078 [binary:858267,860042,cut:860042,slowcut:858274] 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: 54
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 27522
% derived clauses: 2946757
% kept clauses: 294357
% kept size sum: 325883
% kept mid-nuclei: 85410
% kept new demods: 0
% forw unit-subs: 805350
% forw double-subs: 429625
% forw overdouble-subs: 338197
% backward subs: 688
% fast unit cutoff: 89521
% full unit cutoff: 19209
% dbl unit cutoff: 1912
% real runtime : 341.46
% process. runtime: 340.0
% specific non-discr-tree subsumption statistics:
% tried: 91927724
% length fails: 5892259
% strength fails: 34441837
% predlist fails: 32760067
% aux str. fails: 2735894
% by-lit fails: 682044
% full subs tried: 14710353
% full subs fail: 14363244
%
% ; 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/SET015-1+noeq.in")
%
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