TSTP Solution File: SET012-3 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : SET012-3 : TPTP v3.4.2. Released v1.0.0.
% 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 50.0s
% Output : Assurance 50.0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
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%----NO SOLUTION OUTPUT BY SYSTEM
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%----ORIGINAL SYSTEM OUTPUT
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% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/SET/SET012-3+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 4 15)
% (binary-unit 28 #f 4 15)
% (binary-double 11 #f 4 15)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 4 15)
% (binary-order 28 #f 4 15)
% (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(145,40,1,290,0,2,265941,4,2499,283045,5,2803,283045,1,2803,283045,50,2806,283045,40,2806,283190,0,2807,331841,3,4208,343399,4,4909,364764,5,5608,364765,5,5609,364766,1,5609,364766,50,5612,364766,40,5612,364911,0,5612)
%
%
% START OF PROOF
% 364769 [] little_set(f1(X,Y)) | equal(X,Y).
% 364770 [] member(f1(X,Y),Y) | member(f1(X,Y),X) | equal(X,Y).
% 364771 [] -member(f1(X,Y),Y) | -member(f1(X,Y),X) | equal(X,Y).
% 364798 [] -member(X,complement(Y)) | -member(X,Y).
% 364799 [] member(X,complement(Y)) | member(X,Y) | -little_set(X).
% 364909 [] equal(complement(as),bs).
% 364910 [] equal(complement(bs),cs).
% 364911 [] -equal(as,cs).
% 364985 [binary:364911,364769.2] little_set(f1(as,cs)).
% 365002 [binary:364911,364770.3] member(f1(as,cs),as) | member(f1(as,cs),cs).
% 365024 [binary:364911,364771.3] -member(f1(as,cs),as) | -member(f1(as,cs),cs).
% 366275 [para:364910.1.1,364798.1.2] -member(X,cs) | -member(X,bs).
% 376840 [binary:364798.2,365002,demod:364909,binarycut:366275] -member(f1(as,cs),bs).
% 376981 [binary:364799.2,365024,demod:364909,cut:376840,cut:364985] -member(f1(as,cs),cs).
% 381077 [binary:364799.2,376840,demod:364910,cut:376981,cut:364985] 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 15
% clause depth limited to 4
% seconds given: 11
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 3551
% derived clauses: 2019733
% kept clauses: 149650
% kept size sum: 0
% kept mid-nuclei: 63550
% kept new demods: 104
% forw unit-subs: 306346
% forw double-subs: 116567
% forw overdouble-subs: 136273
% backward subs: 80
% fast unit cutoff: 11845
% full unit cutoff: 2803
% dbl unit cutoff: 52
% real runtime : 58.74
% process. runtime: 58.70
% specific non-discr-tree subsumption statistics:
% tried: 3519447
% length fails: 328909
% strength fails: 1003808
% predlist fails: 1246897
% aux str. fails: 29796
% by-lit fails: 46793
% full subs tried: 816155
% full subs fail: 691205
%
% ; 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/SET012-3+eq_r.in")
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