TSTP Solution File: LAT021-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT021-1 : TPTP v3.4.2. Released v2.2.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art03.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 0.0s
% Output : Assurance 0.0s
% 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/LAT021-1+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 4 1)
% (binary-posweight-lex-big-order 30 #f 4 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(11,40,0,22,0,0)
%
%
% START OF PROOF
% 13 [] equal(meet(X,X),X).
% 14 [] equal(join(X,X),X).
% 15 [] equal(meet(X,Y),meet(Y,X)).
% 16 [] equal(join(X,Y),join(Y,X)).
% 17 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 18 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 19 [] equal(join(meet(X,join(Y,Z)),meet(X,Y)),meet(X,join(Y,Z))).
% 20 [] equal(meet(join(X,meet(Y,Z)),join(X,Y)),join(X,meet(Y,Z))).
% 21 [] equal(join(X,join(meet(Y,Z),meet(join(X,Y),Z))),join(X,meet(Y,Z))).
% 22 [] -equal(meet(a,join(b,c)),join(meet(a,b),meet(a,c))).
% 24 [para:13.1.1,17.1.1.1] equal(meet(X,Y),meet(X,meet(X,Y))).
% 25 [para:17.1.1,15.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 28 [para:24.1.2,15.1.1,demod:17] equal(meet(X,Y),meet(X,meet(Y,X))).
% 29 [para:28.1.2,17.1.1.1,demod:17] equal(meet(X,meet(Y,Z)),meet(X,meet(Y,meet(X,Z)))).
% 30 [para:17.1.1,28.1.2.2] equal(meet(X,meet(Y,Z)),meet(X,meet(Y,meet(Z,X)))).
% 32 [para:14.1.1,18.1.1.1] equal(join(X,Y),join(X,join(X,Y))).
% 33 [para:18.1.1,16.1.1] equal(join(X,join(Y,Z)),join(Z,join(X,Y))).
% 38 [para:15.1.1,22.1.2.2] -equal(meet(a,join(b,c)),join(meet(a,b),meet(c,a))).
% 41 [para:13.1.1,19.1.1.2] equal(join(meet(X,join(X,Y)),X),meet(X,join(X,Y))).
% 42 [para:15.1.1,19.1.1.1] equal(join(meet(join(X,Y),Z),meet(Z,X)),meet(Z,join(X,Y))).
% 43 [para:15.1.1,19.1.1.2] equal(join(meet(X,join(Y,Z)),meet(Y,X)),meet(X,join(Y,Z))).
% 44 [para:19.1.1,16.1.1] equal(meet(X,join(Y,Z)),join(meet(X,Y),meet(X,join(Y,Z)))).
% 45 [para:16.1.1,19.1.1.1.2] equal(join(meet(X,join(Y,Z)),meet(X,Z)),meet(X,join(Z,Y))).
% 62 [para:14.1.1,20.1.1.2] equal(meet(join(X,meet(X,Y)),X),join(X,meet(X,Y))).
% 63 [para:20.1.1,15.1.1] equal(join(X,meet(Y,Z)),meet(join(X,Y),join(X,meet(Y,Z)))).
% 71 [para:16.1.1,33.1.2.2] equal(join(X,join(Y,Z)),join(Z,join(Y,X))).
% 114 [para:15.1.1,41.1.1.1] equal(join(meet(join(X,Y),X),X),meet(X,join(X,Y))).
% 124 [para:16.1.1,62.1.1.1] equal(meet(join(meet(X,Y),X),X),join(X,meet(X,Y))).
% 129 [para:114.1.1,16.1.1] equal(meet(X,join(X,Y)),join(X,meet(join(X,Y),X))).
% 130 [para:16.1.1,114.1.1.1.1] equal(join(meet(join(X,Y),Y),Y),meet(Y,join(Y,X))).
% 161 [para:14.1.1,42.1.1.1.1,demod:14] equal(join(meet(X,Y),meet(Y,X)),meet(Y,X)).
% 164 [para:16.1.1,42.1.1.1.1] equal(join(meet(join(X,Y),Z),meet(Z,Y)),meet(Z,join(Y,X))).
% 172 [para:161.1.1,18.1.1.1] equal(join(meet(X,Y),Z),join(meet(Y,X),join(meet(X,Y),Z))).
% 178 [para:161.1.1,71.1.1.2,demod:172] equal(join(X,meet(Y,Z)),join(meet(Z,Y),X)).
% 179 [para:161.1.1,71.1.2.2,demod:172] equal(join(meet(X,Y),Z),join(Z,meet(Y,X))).
% 197 [para:178.1.2,21.1.1.2,demod:164] equal(join(X,meet(Y,join(Z,X))),join(X,meet(Z,Y))).
% 219 [para:178.1.2,130.1.1,demod:197] equal(join(X,meet(Y,X)),meet(X,join(X,Y))).
% 230 [para:179.1.1,124.1.1.1,demod:28,17,219] equal(meet(X,join(X,Y)),join(X,meet(X,Y))).
% 242 [para:197.1.1,16.1.1] equal(join(X,meet(Y,Z)),join(meet(Z,join(Y,X)),X)).
% 243 [para:16.1.1,197.1.1.2.2] equal(join(X,meet(Y,join(X,Z))),join(X,meet(Z,Y))).
% 249 [para:219.1.1,16.1.1] equal(meet(X,join(X,Y)),join(meet(Y,X),X)).
% 250 [para:28.1.2,219.1.1.2,demod:24,17,249,161] equal(meet(X,Y),meet(Y,meet(X,join(X,Y)))).
% 252 [para:219.1.1,18.1.1.1] equal(join(meet(X,join(X,Y)),Z),join(X,join(meet(Y,X),Z))).
% 262 [para:219.1.1,178.1.1] equal(meet(X,join(X,Y)),join(meet(X,Y),X)).
% 275 [para:15.1.1,250.1.2.2] equal(meet(X,Y),meet(Y,meet(join(X,Y),X))).
% 278 [para:250.1.2,25.1.1] equal(meet(X,Y),meet(join(X,Y),meet(Y,X))).
% 282 [para:250.1.2,219.1.1.2,demod:17,13,242,230,161,252] equal(meet(X,join(X,Y)),meet(X,meet(join(X,Y),join(Y,X)))).
% 284 [para:24.1.2,44.1.2.1,demod:243] equal(meet(X,join(meet(X,Y),Z)),join(meet(X,Y),meet(Z,X))).
% 297 [para:130.1.1,275.1.2.2.1,demod:24,282,30,13,17] equal(meet(join(X,Y),Y),meet(Y,join(Y,X))).
% 306 [para:13.1.1,45.1.1.1,demod:13,197,219,243,18,297] equal(join(X,Y),meet(join(X,Y),join(Y,X))).
% 308 [para:45.1.1,32.1.2.2,demod:45] equal(meet(X,join(Y,Z)),join(meet(X,join(Z,Y)),meet(X,join(Y,Z)))).
% 310 [para:45.1.1,129.1.2.2.1,demod:308,306,29,17,45] equal(meet(X,join(Y,Z)),meet(X,join(Z,Y))).
% 333 [para:278.1.2,262.1.2.1,demod:13,197,230,18] equal(join(X,Y),join(meet(X,Y),join(X,Y))).
% 402 [para:310.1.1,38.1.1,demod:284] -equal(meet(a,join(c,b)),meet(a,join(meet(a,b),c))).
% 417 [para:16.1.1,242.1.2.1.2] equal(join(X,meet(Y,Z)),join(meet(Z,join(X,Y)),X)).
% 418 [para:15.1.1,333.1.2.1] equal(join(X,Y),join(meet(Y,X),join(X,Y))).
% 493 [para:43.1.1,418.1.2.2,demod:63,417,249,24,17,43] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(Z,X)))).
% 560 [para:178.1.1,493.1.2.2,slowcut:402] 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 4
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 96
% derived clauses: 12536
% kept clauses: 536
% kept size sum: 8230
% kept mid-nuclei: 0
% kept new demods: 292
% forw unit-subs: 7548
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 4
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.19
% process. runtime: 0.19
% 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/LAT021-1+eq_r.in")
%
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