TSTP Solution File: LAT010-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT010-1 : 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 : art05.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/LAT010-1+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 6 1)
% (binary-posweight-lex-big-order 30 #f 6 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(13,40,0,26,0,0)
%
%
% START OF PROOF
% 14 [] equal(X,X).
% 15 [] equal(meet(X,X),X).
% 16 [] equal(join(X,X),X).
% 17 [] equal(meet(X,join(X,Y)),X).
% 18 [] equal(join(X,meet(X,Y)),X).
% 19 [] equal(meet(X,Y),meet(Y,X)).
% 20 [] equal(join(X,Y),join(Y,X)).
% 21 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 22 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 23 [] equal(meet(X,join(Y,meet(Z,join(X,U)))),join(meet(X,join(Y,meet(X,Z))),meet(X,join(meet(X,Y),meet(Z,U))))).
% 24 [] equal(join(X,meet(Y,join(Z,meet(X,U)))),meet(join(X,meet(Y,join(X,Z))),join(X,meet(join(X,Y),join(Z,U))))).
% 25 [] equal(meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))),join(meet(Z,join(X,meet(Y,Z))),meet(X,join(Y,Z)))).
% 26 [] -equal(meet(a,meet(join(b,c),join(b,d))),meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))))).
% 27 [para:15.1.1,23.1.2.1.2.2,demod:17] equal(meet(X,join(Y,X)),join(meet(X,join(Y,X)),meet(X,join(meet(X,Y),meet(X,Z))))).
% 28 [para:15.1.1,23.1.2.2.2.2] equal(meet(X,join(Y,meet(Z,join(X,Z)))),join(meet(X,join(Y,meet(X,Z))),meet(X,join(meet(X,Y),Z)))).
% 30 [para:16.1.1,23.1.2.2.2,demod:15,17] equal(meet(X,join(Y,X)),join(meet(X,join(Y,X)),meet(X,meet(X,Y)))).
% 33 [para:18.1.1,23.1.2.2.2,demod:21] equal(meet(X,join(Y,meet(X,meet(Y,join(X,Z))))),join(meet(X,join(Y,meet(X,meet(X,Y)))),meet(X,meet(X,Y)))).
% 34 [para:19.1.1,17.1.1] equal(meet(join(X,Y),X),X).
% 35 [para:19.1.1,18.1.1.2] equal(join(X,meet(Y,X)),X).
% 36 [para:19.1.1,23.1.2.1] equal(meet(X,join(Y,meet(Z,join(X,U)))),join(meet(join(Y,meet(X,Z)),X),meet(X,join(meet(X,Y),meet(Z,U))))).
% 41 [para:20.1.1,17.1.1.2] equal(meet(X,join(Y,X)),X).
% 42 [para:20.1.1,18.1.1] equal(join(meet(X,Y),X),X).
% 43 [para:20.1.1,23.1.2] equal(meet(X,join(Y,meet(Z,join(X,U)))),join(meet(X,join(meet(X,Y),meet(Z,U))),meet(X,join(Y,meet(X,Z))))).
% 44 [para:20.1.1,23.1.2.1.2] equal(meet(X,join(Y,meet(Z,join(X,U)))),join(meet(X,join(meet(X,Z),Y)),meet(X,join(meet(X,Y),meet(Z,U))))).
% 45 [para:20.1.1,23.1.2.2.2] equal(meet(X,join(Y,meet(Z,join(X,U)))),join(meet(X,join(Y,meet(X,Z))),meet(X,join(meet(Z,U),meet(X,Y))))).
% 46 [para:34.1.1,18.1.1.2,demod:22] equal(join(X,join(Y,X)),join(X,Y)).
% 47 [para:34.1.1,23.1.2.1.2.2,demod:17,22] equal(meet(join(X,Y),join(Z,X)),join(meet(join(X,Y),join(Z,X)),meet(join(X,Y),join(meet(join(X,Y),Z),meet(X,U))))).
% 48 [para:34.1.1,23.1.2.2.2.1,demod:22] equal(meet(join(X,Y),join(X,meet(Z,join(X,join(Y,U))))),join(meet(join(X,Y),join(X,meet(join(X,Y),Z))),meet(join(X,Y),join(X,meet(Z,U))))).
% 49 [para:34.1.1,23.1.2.2.2.2] equal(meet(X,join(Y,meet(join(Z,U),join(X,Z)))),join(meet(X,join(Y,meet(X,join(Z,U)))),meet(X,join(meet(X,Y),Z)))).
% 50 [para:23.1.2,34.1.1.1,demod:21] equal(meet(X,meet(join(Y,meet(Z,join(X,U))),meet(X,join(Y,meet(X,Z))))),meet(X,join(Y,meet(X,Z)))).
% 51 [para:20.1.1,34.1.1.1] equal(meet(join(X,Y),Y),Y).
% 53 [para:35.1.1,23.1.2.2.2,demod:18] equal(meet(X,join(Y,meet(Z,X))),join(meet(X,join(Y,meet(X,Z))),meet(X,meet(X,Y)))).
% 54 [para:35.1.1,20.1.1] equal(X,join(meet(Y,X),X)).
% 59 [para:17.1.1,24.1.2.2.2,demod:22] equal(join(X,meet(Y,join(X,join(Y,meet(X,Z))))),meet(join(X,meet(Y,join(X,join(X,Y)))),join(X,join(X,Y)))).
% 60 [para:18.1.1,24.1.2.1.2.2,demod:17,35] equal(join(X,meet(Y,join(meet(X,Z),meet(X,U)))),X).
% 74 [para:18.1.1,41.1.1.2,demod:21] equal(meet(X,meet(Y,X)),meet(X,Y)).
% 81 [para:42.1.1,34.1.1.1] equal(meet(X,meet(X,Y)),meet(X,Y)).
% 82 [para:34.1.1,42.1.1.1] equal(join(X,join(X,Y)),join(X,Y)).
% 101 [para:46.1.1,41.1.1.2] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 102 [para:16.1.1,25.1.2.1.2,demod:41,15,35,74,21,16] equal(meet(X,Y),join(meet(Y,X),meet(X,Y))).
% 142 [para:21.1.1,17.1.1] equal(meet(X,meet(Y,join(meet(X,Y),Z))),meet(X,Y)).
% 143 [para:17.1.1,21.1.1.1] equal(meet(X,Y),meet(X,meet(join(X,Z),Y))).
% 144 [para:21.1.1,18.1.1.2] equal(join(meet(X,Y),meet(X,meet(Y,Z))),meet(X,Y)).
% 150 [para:21.1.1,35.1.1.2] equal(join(X,meet(Y,meet(Z,X))),X).
% 154 [para:21.1.1,41.1.1] equal(meet(X,meet(Y,join(Z,meet(X,Y)))),meet(X,Y)).
% 156 [para:21.1.1,42.1.1.1] equal(join(meet(X,meet(Y,Z)),meet(X,Y)),meet(X,Y)).
% 157 [para:51.1.1,21.1.1.1] equal(meet(X,Y),meet(join(Z,X),meet(X,Y))).
% 158 [para:21.1.1,54.1.2.1] equal(X,join(meet(Y,meet(Z,X)),X)).
% 162 [para:21.1.1,74.1.1.2] equal(meet(X,meet(Y,meet(Z,X))),meet(X,meet(Y,Z))).
% 163 [para:74.1.1,21.1.1.1,demod:21] equal(meet(X,meet(Y,Z)),meet(X,meet(Y,meet(X,Z)))).
% 166 [para:17.1.1,150.1.1.2.2,demod:22] equal(join(X,join(Y,meet(Z,X))),join(X,Y)).
% 168 [para:19.1.1,150.1.1.2,demod:21] equal(join(X,meet(Y,meet(X,Z))),X).
% 171 [para:21.1.1,150.1.1.2] equal(join(X,meet(Y,meet(Z,meet(U,X)))),X).
% 178 [para:74.1.1,158.1.2.1.2] equal(meet(X,Y),join(meet(Z,meet(Y,X)),meet(X,Y))).
% 189 [para:22.1.1,17.1.1.2] equal(meet(join(X,Y),join(X,join(Y,Z))),join(X,Y)).
% 191 [para:18.1.1,22.1.1.1] equal(join(X,Y),join(X,join(meet(X,Z),Y))).
% 194 [para:22.1.1,20.1.1] equal(join(X,join(Y,Z)),join(Z,join(X,Y))).
% 197 [para:22.1.1,34.1.1.1] equal(meet(join(X,join(Y,Z)),join(X,Y)),join(X,Y)).
% 198 [para:22.1.1,35.1.1] equal(join(X,join(Y,meet(Z,join(X,Y)))),join(X,Y)).
% 199 [para:35.1.1,22.1.1.1] equal(join(X,Y),join(X,join(meet(Z,X),Y))).
% 202 [para:22.1.1,41.1.1.2] equal(meet(X,join(Y,join(Z,X))),X).
% 204 [para:22.1.1,51.1.1.1] equal(meet(join(X,join(Y,Z)),Z),Z).
% 219 [para:18.1.1,202.1.1.2.2,demod:21] equal(meet(X,meet(Y,join(Z,X))),meet(X,Y)).
% 231 [para:20.1.1,204.1.1.1,demod:22] equal(meet(join(X,join(Y,Z)),Y),Y).
% 232 [para:35.1.1,204.1.1.1.2] equal(meet(join(X,Y),meet(Z,Y)),meet(Z,Y)).
% 242 [para:19.1.1,60.1.1.2] equal(join(X,meet(join(meet(X,Y),meet(X,Z)),U)),X).
% 269 [para:102.1.2,231.1.1.1.2] equal(meet(join(X,meet(Y,Z)),meet(Z,Y)),meet(Z,Y)).
% 314 [para:101.1.1,28.1.2.2.2.1,demod:42,189,202,22] equal(meet(join(X,Y),join(Y,join(X,Z))),join(X,Y)).
% 317 [para:143.1.2,19.1.1,demod:21] equal(meet(X,Y),meet(join(X,Z),meet(Y,X))).
% 326 [para:143.1.2,168.1.1.2,demod:22] equal(join(X,join(Y,meet(X,Z))),join(X,Y)).
% 495 [para:166.1.1,157.1.2.1] equal(meet(join(X,meet(Y,Z)),U),meet(join(Z,X),meet(join(X,meet(Y,Z)),U))).
% 624 [para:19.1.1,36.1.2.2] equal(meet(X,join(Y,meet(Z,join(X,U)))),join(meet(join(Y,meet(X,Z)),X),meet(join(meet(X,Y),meet(Z,U)),X))).
% 860 [para:60.1.1,219.1.1.2.2,demod:21] equal(meet(X,meet(join(meet(Y,Z),meet(Y,U)),meet(V,Y))),meet(X,meet(join(meet(Y,Z),meet(Y,U)),V))).
% 872 [para:194.1.1,219.1.1.2.2] equal(meet(join(X,Y),meet(Z,join(Y,join(U,X)))),meet(join(X,Y),Z)).
% 917 [para:166.1.1,232.1.1.1] equal(meet(join(X,Y),meet(Z,join(Y,meet(U,X)))),meet(Z,join(Y,meet(U,X)))).
% 1080 [para:326.1.1,219.1.1.2.2] equal(meet(join(X,meet(Y,Z)),meet(U,join(Y,X))),meet(join(X,meet(Y,Z)),U)).
% 1497 [para:44.1.2,34.1.1.1,demod:163,21] equal(meet(X,meet(join(Y,meet(Z,join(X,U))),join(meet(X,Z),Y))),meet(X,join(meet(X,Z),Y))).
% 1794 [para:242.1.1,30.1.2.1.2,demod:156,74,860,21,242] equal(meet(join(meet(X,Y),meet(X,Z)),meet(U,X)),meet(join(meet(X,Y),meet(X,Z)),U)).
% 1807 [para:242.1.1,33.1.1.2,demod:42,18,191,15,1794] equal(meet(join(meet(X,Y),meet(X,Z)),X),join(meet(X,Y),meet(X,Z))).
% 1821 [para:51.1.1,144.1.1.2.2] equal(join(meet(X,join(Y,Z)),meet(X,Z)),meet(X,join(Y,Z))).
% 1849 [para:25.1.2,154.1.1.2.2,demod:143,917] equal(meet(X,join(Y,meet(X,Z))),meet(X,join(Z,Y))).
% 1872 [para:34.1.1,156.1.1.1.2] equal(join(meet(X,Y),meet(X,join(Y,Z))),meet(X,join(Y,Z))).
% 1906 [para:42.1.1,47.1.2.1.1,demod:21,1849,42] equal(meet(X,join(Y,Z)),join(meet(X,join(Y,Z)),meet(X,join(Z,meet(Y,U))))).
% 1991 [para:178.1.2,45.1.2.2.2,demod:1821,81,1849,35] equal(meet(X,join(Y,meet(Z,X))),meet(X,join(Z,Y))).
% 2066 [para:35.1.1,48.1.2.2.2,demod:34,1849,1991,46] equal(meet(join(X,Y),join(Z,X)),join(meet(join(X,Y),join(Z,X)),X)).
% 2135 [para:45.1.2,48.1.2.1.1,demod:74,1080,144,142,21,1906,1849] equal(meet(X,join(Y,Z)),join(meet(X,join(Z,meet(Y,join(X,U)))),meet(X,join(Y,Z)))).
% 2178 [para:54.1.2,197.1.1.1.2] equal(meet(join(X,Y),join(X,meet(Z,Y))),join(X,meet(Z,Y))).
% 2222 [para:198.1.1,51.1.1.1,demod:1991] equal(meet(join(X,Y),join(Z,Y)),join(Y,meet(Z,join(X,Y)))).
% 2298 [para:36.1.2,49.1.2.1.2,demod:2135,1821,1849,74,81,624,18] equal(meet(X,join(Y,meet(Z,join(X,U)))),meet(X,join(Z,Y))).
% 2505 [para:20.1.1,50.1.1.2.2.2,demod:1849,1497,163] equal(meet(X,join(meet(X,Y),Z)),meet(X,join(Y,Z))).
% 2515 [para:50.1.1,171.1.1.2,demod:2222,1872,22,1849] equal(meet(join(X,Y),join(Z,Y)),join(Y,meet(Z,X))).
% 2761 [para:27.1.2,269.1.1.1,demod:1849,2505,1807,41] equal(meet(X,join(Y,Z)),join(meet(X,Z),meet(X,Y))).
% 2773 [para:43.1.2,269.1.1.1,demod:1849,74,495,21,2298] equal(meet(X,join(Y,Z)),meet(join(Z,meet(X,Y)),X)).
% 2781 [para:42.1.1,314.1.1.2,demod:2773] equal(meet(join(X,Y),join(Z,X)),join(X,meet(join(X,Y),Z))).
% 2825 [para:53.1.2,199.1.2.2,demod:2515,2222,46,1991,2761,22,81] equal(join(X,meet(Y,join(X,Z))),join(X,meet(Y,Z))).
% 2831 [para:317.1.2,53.1.2.2,demod:2066,17,81,2781,2178,2825] equal(join(X,meet(Y,Z)),meet(join(X,Z),join(Y,X))).
% 3414 [para:59.1.1,47.1.2.1.2,demod:1906,2505,15,2515,82,2831,41,326] equal(join(X,meet(Y,Z)),meet(join(X,Z),join(X,Y))).
% 4521 [para:2761.1.2,26.1.2.2.2.2.2,demod:162,872,326,22,2761,3414,cut:14] 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 6
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 216
% derived clauses: 72670
% kept clauses: 4494
% kept size sum: 105122
% kept mid-nuclei: 0
% kept new demods: 4181
% forw unit-subs: 62397
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 3
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 3.20
% process. runtime: 3.21
% 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/LAT010-1+eq_r.in")
%
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