TSTP Solution File: LAT235-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT235-1 : TPTP v3.4.2. Released v3.1.0.
% 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 49.6s
% Output : Assurance 49.6s
% 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/LAT/LAT235-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
%
% strategies selected:
% (hyper 30 #f 7 5)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 7 5)
% (binary-posweight-lex-big-order 30 #f 7 5)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(15,40,0,30,0,0,34533,4,2265,35426,5,3002,35426,1,3002,35426,50,3004,35426,40,3004,35441,0,3004,49639,3,3607,51525,4,3905,54116,5,4205,54118,5,4205,54118,1,4205,54118,50,4206,54118,40,4206,54133,0,4206,74278,3,4809,82478,4,5107,87766,5,5407,87766,1,5407,87766,50,5409,87766,40,5409,87781,0,5409)
%
%
% START OF PROOF
% 87767 [] equal(X,X).
% 87770 [] equal(meet(X,join(X,Y)),X).
% 87771 [] equal(join(X,meet(X,Y)),X).
% 87772 [] equal(meet(X,Y),meet(Y,X)).
% 87773 [] equal(join(X,Y),join(Y,X)).
% 87774 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 87775 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 87776 [] equal(join(X,complement(X)),one).
% 87777 [] equal(meet(X,complement(X)),zero).
% 87778 [] -equal(join(X,Y),one) | -equal(meet(X,Y),zero) | equal(complement(X),Y).
% 87779 [] equal(meet(X,join(Y,meet(Z,U))),meet(X,join(Y,meet(Z,join(Y,meet(U,join(Y,Z))))))).
% 87780 [] equal(meet(b,a),a).
% 87781 [] -equal(join(complement(b),complement(a)),complement(a)).
% 87782 [para:87776.1.1,87770.1.1.2] equal(meet(X,one),X).
% 87783 [para:87780.1.1,87771.1.1.2] equal(join(b,a),b).
% 87784 [para:87777.1.1,87771.1.1.2] equal(join(X,zero),X).
% 87788 [para:87772.1.1,87782.1.1] equal(meet(one,X),X).
% 87789 [para:87772.1.1,87771.1.1.2] equal(join(X,meet(Y,X)),X).
% 87791 [para:87788.1.1,87770.1.1] equal(join(one,X),one).
% 87792 [para:87773.1.1,87776.1.1] equal(join(complement(X),X),one).
% 87793 [para:87773.1.1,87781.1.1] -equal(join(complement(a),complement(b)),complement(a)).
% 87796 [para:87773.1.1,87783.1.1] equal(join(a,b),b).
% 87797 [para:87773.1.1,87784.1.1] equal(join(zero,X),X).
% 87800 [para:87797.1.1,87770.1.1.2] equal(meet(zero,X),zero).
% 87806 [para:87777.1.1,87774.1.1.1,demod:87800] equal(zero,meet(X,meet(complement(X),Y))).
% 87831 [para:87792.1.1,87775.1.1.1,demod:87791] equal(one,join(complement(X),join(X,Y))).
% 87864 [para:87776.1.1,87779.1.2.2.2.2.2.2,demod:87782] equal(meet(X,join(Y,meet(complement(Y),Z))),meet(X,join(Y,meet(complement(Y),join(Y,Z))))).
% 87925 [para:87796.1.1,87831.1.2.2] equal(one,join(complement(a),b)).
% 87933 [para:87925.1.2,87773.1.1] equal(one,join(b,complement(a))).
% 89504 [para:87933.1.2,87864.1.2.2.2.2,demod:87776,87782] equal(meet(X,join(b,meet(complement(b),complement(a)))),X).
% 93044 [para:89504.1.1,87788.1.1] equal(one,join(b,meet(complement(b),complement(a)))).
% 93061 [para:93044.1.2,87778.1.1,demod:87806,cut:87767,cut:87767] equal(complement(b),meet(complement(b),complement(a))).
% 93065 [para:93061.1.2,87789.1.1.2,cut:87793] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred 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
% clause length limited to 5
% clause depth limited to 7
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 3379
% derived clauses: 1716785
% kept clauses: 80460
% kept size sum: 96003
% kept mid-nuclei: 6678
% kept new demods: 66867
% forw unit-subs: 1559079
% forw double-subs: 30098
% forw overdouble-subs: 4357
% backward subs: 63
% fast unit cutoff: 2222
% full unit cutoff: 12
% dbl unit cutoff: 184
% real runtime : 55.79
% process. runtime: 55.35
% specific non-discr-tree subsumption statistics:
% tried: 21616
% length fails: 1039
% strength fails: 0
% predlist fails: 6933
% aux str. fails: 2290
% by-lit fails: 0
% full subs tried: 10894
% full subs fail: 6547
%
% ; 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/LAT/LAT235-1+eq_r.in")
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