TSTP Solution File: LAT017-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : LAT017-1 : TPTP v3.4.2. Bugfixed v2.2.1.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art06.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 9.6s
% Output : Assurance 9.6s
% 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
%
% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/LAT/LAT017-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: ueq
%
% strategies selected:
% (binary-posweight-kb-big-order 60 #f 7 1)
% (binary-posweight-lex-big-order 30 #f 7 1)
% (binary 30 #t)
% (binary-posweight-kb-big-order 180 #f)
% (binary-posweight-lex-big-order 120 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-posweight-kb-small-order 60 #f)
% (binary-posweight-lex-small-order 60 #f)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(12,40,0,24,0,0)
%
%
% START OF PROOF
% 13 [] equal(X,X).
% 14 [] equal(join(complement(X),X),n1).
% 16 [] equal(join(X,meet(X,Y)),X).
% 17 [] equal(meet(X,Y),meet(Y,X)).
% 18 [] equal(join(X,Y),join(Y,X)).
% 19 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 20 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 21 [] equal(complement(complement(X)),X).
% 23 [] equal(meet(X,Y),complement(join(complement(X),complement(Y)))).
% 24 [] -equal(join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))),n1).
% 25 [para:21.1.1,14.1.1.1] equal(join(X,complement(X)),n1).
% 43 [para:18.1.1,24.1.1.2.1.2.2] -equal(join(a,join(meet(complement(a),meet(join(a,complement(b)),join(b,a))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))),n1).
% 45 [para:18.1.1,16.1.1] equal(join(meet(X,Y),X),X).
% 51 [para:19.1.1,16.1.1.2] equal(join(meet(X,Y),meet(X,meet(Y,Z))),meet(X,Y)).
% 54 [para:17.1.1,19.1.1.1,demod:19] equal(meet(X,meet(Y,Z)),meet(Y,meet(X,Z))).
% 106 [para:23.1.2,21.1.1.1] equal(complement(meet(X,Y)),join(complement(X),complement(Y))).
% 107 [para:21.1.1,23.1.2.1.1] equal(meet(complement(X),Y),complement(join(X,complement(Y)))).
% 108 [para:21.1.1,23.1.2.1.2] equal(meet(X,complement(Y)),complement(join(complement(X),Y))).
% 164 [para:21.1.1,106.1.2.1] equal(complement(meet(complement(X),Y)),join(X,complement(Y))).
% 186 [para:21.1.1,107.1.2.1.2] equal(meet(complement(X),complement(Y)),complement(join(X,Y))).
% 191 [para:45.1.1,107.1.2.1,demod:21,164] equal(meet(join(X,complement(Y)),X),X).
% 200 [para:107.1.2,106.1.2.1] equal(complement(meet(join(X,complement(Y)),Z)),join(meet(complement(X),Y),complement(Z))).
% 203 [para:21.1.1,191.1.1.1.2] equal(meet(join(X,Y),X),X).
% 209 [para:18.1.1,203.1.1.1] equal(meet(join(X,Y),Y),Y).
% 218 [para:17.1.1,43.1.1.2.2,demod:186] -equal(join(a,join(meet(complement(a),meet(join(a,complement(b)),join(b,a))),meet(join(meet(complement(a),b),complement(join(a,b))),complement(a)))),n1).
% 231 [para:18.1.1,218.1.1,demod:20] -equal(join(meet(complement(a),meet(join(a,complement(b)),join(b,a))),join(meet(join(meet(complement(a),b),complement(join(a,b))),complement(a)),a)),n1).
% 297 [para:108.1.2,25.1.1.2,demod:20] equal(join(complement(X),join(Y,meet(X,complement(Y)))),n1).
% 308 [para:107.1.2,108.1.2.1.1] equal(meet(join(X,complement(Y)),complement(Z)),complement(join(meet(complement(X),Y),Z))).
% 315 [para:203.1.1,51.1.1.2] equal(join(meet(join(meet(X,Y),Z),X),meet(X,Y)),meet(join(meet(X,Y),Z),X)).
% 553 [para:18.1.1,231.1.1,demod:20,164,308] -equal(join(complement(join(meet(join(a,complement(b)),join(a,b)),a)),join(a,meet(complement(a),meet(join(a,complement(b)),join(b,a))))),n1).
% 591 [para:18.1.1,553.1.1.1.1.1.2] -equal(join(complement(join(meet(join(a,complement(b)),join(b,a)),a)),join(a,meet(complement(a),meet(join(a,complement(b)),join(b,a))))),n1).
% 1401 [para:54.1.1,591.1.1.2.2] -equal(join(complement(join(meet(join(a,complement(b)),join(b,a)),a)),join(a,meet(join(a,complement(b)),meet(complement(a),join(b,a))))),n1).
% 7157 [para:200.1.1,297.1.1.1,demod:20,19] equal(join(meet(complement(X),Y),join(complement(Z),join(U,meet(join(X,complement(Y)),meet(Z,complement(U)))))),n1).
% 18815 [para:209.1.1,315.1.1.1.1.1,demod:209] equal(join(meet(join(X,Y),join(Z,X)),X),meet(join(X,Y),join(Z,X))).
% 19259 [para:17.1.1,1401.1.1.2.2.2,demod:7157,20,200,18815,cut:13] 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 1
% clause depth limited to 7
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 791
% derived clauses: 451496
% kept clauses: 19234
% kept size sum: 354613
% kept mid-nuclei: 0
% kept new demods: 17958
% forw unit-subs: 414757
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 13
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 11.89
% process. runtime: 11.45
% specific non-discr-tree subsumption statistics:
% tried: 0
% length fails: 0
% strength fails: 0
% predlist fails: 0
% aux str. fails: 0
% by-lit fails: 0
% full subs tried: 0
% full subs fail: 0
%
% ; 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/LAT017-1+eq_r.in")
% WARNING: TreeLimitedRun lost 9.57s, total lost is 9.57s
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