TSTP Solution File: LAT020-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT020-1 : 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 : art01.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 30.0s
% Output : Assurance 30.0s
% 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/LAT020-1+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 5 1)
% (binary-posweight-lex-big-order 30 #f 5 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(11,40,1,22,0,1,12610,3,3027)
%
%
% 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(meet(join(meet(X,Y),Z),Y),meet(Z,X)),meet(join(meet(join(X,Y),Z),Y),join(Z,X))).
% 22 [] -equal(meet(a,join(b,c)),join(meet(a,b),meet(a,c))).
% 23 [para:13.1.1,21.1.1.1.1.1,demod:14] equal(join(meet(join(X,Y),X),meet(Y,X)),meet(join(meet(X,Y),X),join(Y,X))).
% 24 [para:13.1.1,21.1.1.2,demod:14] equal(join(meet(join(meet(X,Y),X),Y),X),meet(join(meet(join(X,Y),X),Y),X)).
% 25 [para:14.1.1,21.1.1.1.1,demod:13,17] equal(join(meet(X,Y),meet(X,meet(Y,X))),meet(join(meet(join(X,Y),meet(X,Y)),Y),join(meet(X,Y),X))).
% 26 [para:15.1.1,21.1.1.1] equal(join(meet(X,join(meet(Y,X),Z)),meet(Z,Y)),meet(join(meet(join(Y,X),Z),X),join(Z,Y))).
% 27 [para:15.1.1,21.1.1.1.1.1] equal(join(meet(join(meet(X,Y),Z),X),meet(Z,Y)),meet(join(meet(join(Y,X),Z),X),join(Z,Y))).
% 28 [para:15.1.1,21.1.1.2] equal(join(meet(join(meet(X,Y),Z),Y),meet(X,Z)),meet(join(meet(join(X,Y),Z),Y),join(Z,X))).
% 29 [para:21.1.1,16.1.1] equal(meet(join(meet(join(X,Y),Z),Y),join(Z,X)),join(meet(Z,X),meet(join(meet(X,Y),Z),Y))).
% 30 [para:16.1.1,21.1.1.1.1] equal(join(meet(join(X,meet(Y,Z)),Z),meet(X,Y)),meet(join(meet(join(Y,Z),X),Z),join(X,Y))).
% 32 [para:13.1.1,17.1.1.1] equal(meet(X,Y),meet(X,meet(X,Y))).
% 33 [para:17.1.1,15.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 35 [para:15.1.1,17.1.1.1,demod:17] equal(meet(X,meet(Y,Z)),meet(Y,meet(X,Z))).
% 36 [para:17.1.1,21.1.1.2] equal(join(meet(join(meet(X,Y),meet(Z,U)),Y),meet(Z,meet(U,X))),meet(join(meet(join(X,Y),meet(Z,U)),Y),join(meet(Z,U),X))).
% 37 [para:32.1.2,15.1.1,demod:17] equal(meet(X,Y),meet(X,meet(Y,X))).
% 39 [para:37.1.2,17.1.1,demod:17] equal(meet(X,meet(Y,Z)),meet(X,meet(Y,meet(Z,meet(X,Y))))).
% 40 [para:37.1.2,17.1.1.1,demod:17] equal(meet(X,meet(Y,Z)),meet(X,meet(Y,meet(X,Z)))).
% 41 [para:17.1.1,37.1.2.2] equal(meet(X,meet(Y,Z)),meet(X,meet(Y,meet(Z,X)))).
% 42 [para:18.1.1,14.1.1] equal(join(X,join(Y,join(X,Y))),join(X,Y)).
% 43 [para:14.1.1,18.1.1.1] equal(join(X,Y),join(X,join(X,Y))).
% 44 [para:18.1.1,16.1.1] equal(join(X,join(Y,Z)),join(Z,join(X,Y))).
% 45 [para:18.1.1,16.1.2] equal(join(X,join(Y,Z)),join(Y,join(Z,X))).
% 46 [para:16.1.1,18.1.1.1,demod:18] equal(join(X,join(Y,Z)),join(Y,join(X,Z))).
% 50 [para:16.1.1,22.1.1.2] -equal(meet(a,join(c,b)),join(meet(a,b),meet(a,c))).
% 52 [para:13.1.1,19.1.1.1,demod:13,18] equal(join(X,join(Y,meet(join(X,Y),X))),join(X,Y)).
% 53 [para:13.1.1,19.1.1.2] equal(join(meet(X,join(X,Y)),X),meet(X,join(X,Y))).
% 54 [para:15.1.1,19.1.1.1] equal(join(meet(join(X,Y),Z),meet(Z,X)),meet(Z,join(X,Y))).
% 55 [para:15.1.1,19.1.1.2] equal(join(meet(X,join(Y,Z)),meet(Y,X)),meet(X,join(Y,Z))).
% 56 [para:19.1.1,16.1.1] equal(meet(X,join(Y,Z)),join(meet(X,Y),meet(X,join(Y,Z)))).
% 57 [para:16.1.1,19.1.1.1.2] equal(join(meet(X,join(Y,Z)),meet(X,Z)),meet(X,join(Z,Y))).
% 58 [para:17.1.1,19.1.1.1,demod:17] equal(join(meet(X,meet(Y,join(Z,U))),meet(X,meet(Y,Z))),meet(X,meet(Y,join(Z,U)))).
% 59 [para:32.1.2,19.1.1.2] equal(join(meet(X,join(meet(X,Y),Z)),meet(X,Y)),meet(X,join(meet(X,Y),Z))).
% 60 [para:37.1.2,19.1.1.2] equal(join(meet(X,join(meet(Y,X),Z)),meet(X,Y)),meet(X,join(meet(Y,X),Z))).
% 61 [para:19.1.1,18.1.1.1] equal(join(meet(X,join(Y,Z)),U),join(meet(X,join(Y,Z)),join(meet(X,Y),U))).
% 62 [para:18.1.1,19.1.1.1.2,demod:18] equal(join(meet(X,join(Y,join(Z,U))),meet(X,join(Y,Z))),meet(X,join(Y,join(Z,U)))).
% 63 [para:43.1.2,16.1.1,demod:18] equal(join(X,Y),join(X,join(Y,X))).
% 66 [para:63.1.2,18.1.1.1,demod:18] equal(join(X,join(Y,Z)),join(X,join(Y,join(X,Z)))).
% 67 [para:18.1.1,63.1.2.2] equal(join(X,join(Y,Z)),join(X,join(Y,join(Z,X)))).
% 68 [para:15.1.1,33.1.2.2] equal(meet(X,meet(Y,Z)),meet(Z,meet(Y,X))).
% 70 [para:33.1.2,17.1.1] equal(meet(X,meet(Y,meet(Z,U))),meet(Z,meet(U,meet(X,Y)))).
% 71 [para:33.1.1,17.1.1.1,demod:17] equal(meet(X,meet(Y,meet(Z,U))),meet(Y,meet(Z,meet(X,U)))).
% 74 [para:33.1.1,32.1.2.2,demod:40] equal(meet(X,meet(Y,Z)),meet(X,meet(Z,Y))).
% 76 [para:33.1.2,19.1.1.2] equal(join(meet(X,join(meet(Y,Z),U)),meet(Y,meet(Z,X))),meet(X,join(meet(Y,Z),U))).
% 82 [para:14.1.1,20.1.1.1,demod:14,17] equal(meet(X,meet(Y,join(meet(X,Y),X))),meet(X,Y)).
% 83 [para:14.1.1,20.1.1.2] equal(meet(join(X,meet(X,Y)),X),join(X,meet(X,Y))).
% 84 [para:20.1.1,15.1.1] equal(join(X,meet(Y,Z)),meet(join(X,Y),join(X,meet(Y,Z)))).
% 85 [para:15.1.1,20.1.1.1.2] equal(meet(join(X,meet(Y,Z)),join(X,Z)),join(X,meet(Z,Y))).
% 86 [para:16.1.1,20.1.1.1] equal(meet(join(meet(X,Y),Z),join(Z,X)),join(Z,meet(X,Y))).
% 87 [para:16.1.1,20.1.1.2] equal(meet(join(X,meet(Y,Z)),join(Y,X)),join(X,meet(Y,Z))).
% 88 [para:20.1.1,17.1.1.1] equal(meet(join(X,meet(Y,Z)),U),meet(join(X,meet(Y,Z)),meet(join(X,Y),U))).
% 91 [para:20.1.1,19.1.1.2,demod:18] equal(join(meet(join(X,meet(Y,Z)),join(X,join(Y,U))),join(X,meet(Y,Z))),meet(join(X,meet(Y,Z)),join(X,join(Y,U)))).
% 92 [para:19.1.1,20.1.1.2,demod:17] equal(meet(join(meet(X,join(Y,Z)),meet(X,meet(Y,U))),meet(X,join(Y,Z))),join(meet(X,join(Y,Z)),meet(X,meet(Y,U)))).
% 93 [para:43.1.2,20.1.1.2] equal(meet(join(X,meet(join(X,Y),Z)),join(X,Y)),join(X,meet(join(X,Y),Z))).
% 94 [para:63.1.2,20.1.1.2] equal(meet(join(X,meet(join(Y,X),Z)),join(X,Y)),join(X,meet(join(Y,X),Z))).
% 95 [para:20.1.1,33.1.1.2] equal(meet(X,join(Y,meet(Z,U))),meet(join(Y,Z),meet(X,join(Y,meet(Z,U))))).
% 96 [para:33.1.1,20.1.1.1.2] equal(meet(join(X,meet(Y,meet(Z,U))),join(X,Z)),join(X,meet(Z,meet(U,Y)))).
% 102 [para:20.1.1,35.1.1.2] equal(meet(X,join(Y,meet(Z,U))),meet(join(Y,meet(Z,U)),meet(X,join(Y,Z)))).
% 103 [para:16.1.1,44.1.2.2] equal(join(X,join(Y,Z)),join(Z,join(Y,X))).
% 109 [para:44.1.1,19.1.1.1.2] equal(join(meet(X,join(Y,join(Z,U))),meet(X,Z)),meet(X,join(Z,join(U,Y)))).
% 110 [para:44.1.2,19.1.1.1.2] equal(join(meet(X,join(Y,join(Z,U))),meet(X,U)),meet(X,join(U,join(Y,Z)))).
% 111 [para:19.1.1,44.1.1.2] equal(join(X,meet(Y,join(Z,U))),join(meet(Y,Z),join(X,meet(Y,join(Z,U))))).
% 112 [para:44.1.1,43.1.2.2,demod:66] equal(join(X,join(Y,Z)),join(X,join(Z,Y))).
% 113 [para:44.1.1,20.1.1.2] equal(meet(join(X,meet(join(Y,Z),U)),join(Z,join(X,Y))),join(X,meet(join(Y,Z),U))).
% 114 [para:44.1.2,20.1.1.2] equal(meet(join(X,meet(join(Y,Z),U)),join(Y,join(Z,X))),join(X,meet(join(Y,Z),U))).
% 115 [para:44.1.1,44.1.1.2,demod:18] equal(join(X,join(Y,join(Z,U))),join(U,join(Y,join(X,Z)))).
% 124 [para:15.1.1,23.1.1.1] equal(join(meet(X,join(X,Y)),meet(Y,X)),meet(join(meet(X,Y),X),join(Y,X))).
% 126 [para:23.1.1,16.1.1] equal(meet(join(meet(X,Y),X),join(Y,X)),join(meet(Y,X),meet(join(X,Y),X))).
% 127 [para:16.1.1,23.1.1.1.1] equal(join(meet(join(X,Y),Y),meet(X,Y)),meet(join(meet(Y,X),Y),join(X,Y))).
% 129 [para:17.1.1,23.1.1.2] equal(join(meet(join(X,meet(Y,Z)),X),meet(Y,meet(Z,X))),meet(join(meet(X,meet(Y,Z)),X),join(meet(Y,Z),X))).
% 132 [para:23.1.1,18.1.1.1] equal(join(meet(join(meet(X,Y),X),join(Y,X)),Z),join(meet(join(X,Y),X),join(meet(Y,X),Z))).
% 133 [para:18.1.1,23.1.1.1.1] equal(join(meet(join(X,join(Y,Z)),join(X,Y)),meet(Z,join(X,Y))),meet(join(meet(join(X,Y),Z),join(X,Y)),join(Z,join(X,Y)))).
% 135 [para:23.1.1,63.1.2.2,demod:126] equal(meet(join(meet(X,Y),X),join(Y,X)),join(meet(Y,X),meet(join(meet(X,Y),X),join(Y,X)))).
% 136 [para:63.1.2,23.1.1.1.1,demod:14,18] equal(join(meet(join(X,Y),X),meet(join(Y,X),X)),meet(join(meet(X,join(Y,X)),X),join(Y,X))).
% 139 [para:23.1.1,20.1.1.2,demod:17] equal(meet(join(meet(join(X,Y),X),meet(Y,meet(X,Z))),meet(join(meet(X,Y),X),join(Y,X))),join(meet(join(X,Y),X),meet(Y,meet(X,Z)))).
% 140 [para:35.1.1,23.1.1.2,demod:17] equal(join(meet(join(meet(X,Y),Z),meet(X,Y)),meet(X,meet(Z,Y))),meet(join(meet(X,meet(Y,Z)),meet(X,Y)),join(Z,meet(X,Y)))).
% 141 [para:23.1.1,44.1.1.2] equal(join(X,meet(join(meet(Y,Z),Y),join(Z,Y))),join(meet(Z,Y),join(X,meet(join(Y,Z),Y)))).
% 142 [para:23.1.1,44.1.2.2] equal(join(meet(join(X,Y),X),join(meet(Y,X),Z)),join(Z,meet(join(meet(X,Y),X),join(Y,X)))).
% 143 [para:44.1.1,23.1.1.1.1,demod:18] equal(join(meet(join(X,join(Y,Z)),Y),meet(join(Z,X),Y)),meet(join(meet(Y,join(Z,X)),Y),join(Z,join(X,Y)))).
% 144 [para:44.1.2,23.1.1.1.1,demod:18] equal(join(meet(join(X,join(Y,Z)),Z),meet(join(X,Y),Z)),meet(join(meet(Z,join(X,Y)),Z),join(X,join(Y,Z)))).
% 145 [para:23.1.1,45.1.1.2] equal(join(X,meet(join(meet(Y,Z),Y),join(Z,Y))),join(meet(join(Y,Z),Y),join(meet(Z,Y),X))).
% 147 [para:46.1.1,19.1.1.1.2,demod:109] equal(meet(X,join(Y,join(Z,U))),meet(X,join(Y,join(U,Z)))).
% 148 [para:19.1.1,46.1.1.2] equal(join(X,meet(Y,join(Z,U))),join(meet(Y,join(Z,U)),join(X,meet(Y,Z)))).
% 149 [para:46.1.1,20.1.1.2] equal(meet(join(X,meet(join(Y,Z),U)),join(Y,join(X,Z))),join(X,meet(join(Y,Z),U))).
% 153 [para:23.1.1,46.1.1.2] equal(join(X,meet(join(meet(Y,Z),Y),join(Z,Y))),join(meet(join(Y,Z),Y),join(X,meet(Z,Y)))).
% 154 [para:23.1.1,46.1.2.2] equal(join(meet(join(X,Y),X),join(Z,meet(Y,X))),join(Z,meet(join(meet(X,Y),X),join(Y,X)))).
% 172 [para:19.1.1,103.1.1.2] equal(join(X,meet(Y,join(Z,U))),join(meet(Y,Z),join(meet(Y,join(Z,U)),X))).
% 173 [para:103.1.1,20.1.1.2] equal(meet(join(X,meet(join(Y,Z),U)),join(Z,join(Y,X))),join(X,meet(join(Y,Z),U))).
% 176 [para:23.1.1,103.1.1.2] equal(join(X,meet(join(meet(Y,Z),Y),join(Z,Y))),join(meet(Z,Y),join(meet(join(Y,Z),Y),X))).
% 177 [para:23.1.1,103.1.2.2] equal(join(meet(X,Y),join(meet(join(Y,X),Y),Z)),join(Z,meet(join(meet(Y,X),Y),join(X,Y)))).
% 178 [para:103.1.1,46.1.1.2] equal(join(X,join(Y,join(Z,U))),join(U,join(X,join(Z,Y)))).
% 180 [para:112.1.1,21.1.1.1.1,demod:18] equal(join(meet(join(meet(X,Y),join(Z,U)),Y),meet(join(U,Z),X)),meet(join(meet(join(X,Y),join(U,Z)),Y),join(U,join(Z,X)))).
% 181 [para:112.1.1,18.1.1,demod:18] equal(join(X,join(Y,join(Z,U))),join(X,join(Y,join(U,Z)))).
% 182 [para:112.1.1,18.1.1.1,demod:18] equal(join(X,join(Y,join(Z,U))),join(X,join(Z,join(Y,U)))).
% 183 [para:18.1.1,112.1.1.2] equal(join(X,join(Y,join(Z,U))),join(X,join(U,join(Y,Z)))).
% 185 [para:112.1.1,20.1.1.2] equal(meet(join(X,meet(join(Y,Z),U)),join(X,join(Z,Y))),join(X,meet(join(Y,Z),U))).
% 189 [para:15.1.1,24.1.1.1] equal(join(meet(X,join(meet(Y,X),Y)),Y),meet(join(meet(join(Y,X),Y),X),Y)).
% 191 [para:24.1.1,16.1.1] equal(meet(join(meet(join(X,Y),X),Y),X),join(X,meet(join(meet(X,Y),X),Y))).
% 192 [para:16.1.1,24.1.1.1.1] equal(join(meet(join(X,meet(X,Y)),Y),X),meet(join(meet(join(X,Y),X),Y),X)).
% 203 [para:52.1.1,44.1.1] equal(join(X,Y),join(meet(join(X,Y),X),join(X,Y))).
% 208 [para:15.1.1,53.1.1.1] equal(join(meet(join(X,Y),X),X),meet(X,join(X,Y))).
% 209 [para:53.1.1,16.1.1] equal(meet(X,join(X,Y)),join(X,meet(X,join(X,Y)))).
% 210 [para:16.1.1,53.1.1.1.2] equal(join(meet(X,join(Y,X)),X),meet(X,join(X,Y))).
% 211 [para:53.1.1,18.1.1.1] equal(join(meet(X,join(X,Y)),Z),join(meet(X,join(X,Y)),join(X,Z))).
% 214 [para:53.1.1,44.1.1.2] equal(join(X,meet(Y,join(Y,Z))),join(Y,join(X,meet(Y,join(Y,Z))))).
% 215 [para:44.1.1,53.1.1.1.2] equal(join(meet(X,join(Y,join(X,Z))),X),meet(X,join(X,join(Z,Y)))).
% 220 [para:25.1.2,15.1.1,demod:14,37] equal(meet(X,Y),meet(join(meet(X,Y),X),join(meet(join(X,Y),meet(X,Y)),Y))).
% 228 [para:25.1.2,37.1.2.2,demod:14,37,220] equal(meet(X,Y),meet(join(meet(X,Y),X),meet(X,Y))).
% 231 [para:18.1.1,66.1.2.2,demod:18] equal(join(X,join(Y,join(Z,U))),join(X,join(Y,join(Z,join(X,U))))).
% 236 [para:15.1.1,82.1.1.2] equal(meet(X,meet(join(meet(X,Y),X),Y)),meet(X,Y)).
% 243 [para:14.1.1,26.1.1.1.2,demod:14,25,17,37] equal(join(meet(X,Y),meet(Y,X)),meet(Y,X)).
% 251 [para:17.1.1,243.1.1.1] equal(join(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))),meet(Z,meet(X,Y))).
% 253 [para:243.1.1,18.1.1.1] equal(join(meet(X,Y),Z),join(meet(Y,X),join(meet(X,Y),Z))).
% 256 [para:243.1.1,44.1.1.2] equal(join(X,meet(Y,Z)),join(meet(Y,Z),join(X,meet(Z,Y)))).
% 257 [para:243.1.1,46.1.1.2,demod:256] equal(join(X,meet(Y,Z)),join(X,meet(Z,Y))).
% 259 [para:74.1.1,243.1.1.1,demod:17] equal(join(meet(X,meet(Y,Z)),meet(Z,meet(Y,X))),meet(Z,meet(Y,X))).
% 260 [para:243.1.1,103.1.1.2,demod:253] equal(join(X,meet(Y,Z)),join(meet(Z,Y),X)).
% 271 [para:257.1.1,18.1.1,demod:18] equal(join(X,join(Y,meet(Z,U))),join(X,join(Y,meet(U,Z)))).
% 275 [para:257.1.1,44.1.1.2] equal(join(X,join(Y,meet(Z,U))),join(meet(U,Z),join(X,Y))).
% 276 [para:257.1.1,44.1.2.2] equal(join(X,join(meet(Y,Z),U)),join(U,join(X,meet(Z,Y)))).
% 280 [para:257.1.1,46.1.1.2] equal(join(X,join(Y,meet(Z,U))),join(Y,join(X,meet(U,Z)))).
% 287 [para:257.1.1,52.1.1.2,demod:214] equal(join(X,meet(Y,join(Y,X))),join(Y,X)).
% 291 [para:260.1.1,16.1.1] equal(join(meet(X,Y),Z),join(meet(Y,X),Z)).
% 294 [para:17.1.1,260.1.1.2] equal(join(X,meet(Y,meet(Z,U))),join(meet(U,meet(Y,Z)),X)).
% 296 [para:260.1.1,18.1.1.1,demod:18] equal(join(meet(X,Y),join(Z,U)),join(Z,join(meet(Y,X),U))).
% 299 [para:260.1.1,19.1.1] equal(join(meet(X,Y),meet(Y,join(X,Z))),meet(Y,join(X,Z))).
% 300 [para:260.1.2,19.1.1] equal(join(meet(X,Y),meet(join(Y,Z),X)),meet(X,join(Y,Z))).
% 302 [para:260.1.1,20.1.1.1] equal(meet(join(meet(X,Y),Z),join(Z,Y)),join(Z,meet(Y,X))).
% 321 [para:260.1.2,53.1.1] equal(join(X,meet(join(X,Y),X)),meet(X,join(X,Y))).
% 323 [para:260.1.1,67.1.2.2.2] equal(join(meet(X,Y),join(Z,U)),join(meet(X,Y),join(Z,join(meet(Y,X),U)))).
% 338 [para:15.1.1,287.1.1.2] equal(join(X,meet(join(Y,X),Y)),join(Y,X)).
% 339 [para:287.1.1,16.1.1] equal(join(X,Y),join(meet(X,join(X,Y)),Y)).
% 340 [para:16.1.1,287.1.1.2.2] equal(join(X,meet(Y,join(X,Y))),join(Y,X)).
% 343 [para:287.1.1,19.1.1.1.2,demod:287,57] equal(meet(X,join(Y,Z)),meet(X,join(Z,Y))).
% 344 [para:287.1.1,20.1.1.1,demod:287] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 345 [para:287.1.1,44.1.1.2] equal(join(X,join(Y,Z)),join(meet(Y,join(Y,Z)),join(X,Z))).
% 346 [para:287.1.1,46.1.1.2] equal(join(X,join(Y,Z)),join(Z,join(X,meet(Y,join(Y,Z))))).
% 347 [para:287.1.1,103.1.1.2] equal(join(X,join(Y,Z)),join(meet(Y,join(Y,Z)),join(Z,X))).
% 350 [para:257.1.1,287.1.1.2.2] equal(join(meet(X,Y),meet(Z,join(Z,meet(Y,X)))),join(Z,meet(X,Y))).
% 351 [para:287.1.1,260.1.1] equal(join(X,Y),join(meet(join(X,Y),X),Y)).
% 375 [para:16.1.1,338.1.1.2.1] equal(join(X,meet(join(X,Y),Y)),join(Y,X)).
% 379 [para:338.1.1,44.1.1.2] equal(join(X,join(Y,Z)),join(meet(join(Y,Z),Y),join(X,Z))).
% 382 [para:338.1.1,103.1.1.2] equal(join(X,join(Y,Z)),join(meet(join(Y,Z),Y),join(Z,X))).
% 383 [para:24.1.1,338.1.1.2.1,demod:24,236,17,351] equal(join(X,meet(join(X,Y),meet(X,Y))),meet(join(X,Y),X)).
% 392 [para:16.1.1,339.1.2.1.2] equal(join(X,Y),join(meet(X,join(Y,X)),Y)).
% 407 [para:338.1.1,339.1.2.1.2,demod:338] equal(join(X,Y),join(meet(Y,join(X,Y)),meet(join(X,Y),X))).
% 410 [para:340.1.1,44.1.1.2] equal(join(X,join(Y,Z)),join(meet(Y,join(Z,Y)),join(X,Z))).
% 412 [para:340.1.1,46.1.1.2] equal(join(X,join(Y,Z)),join(Z,join(X,meet(Y,join(Z,Y))))).
% 414 [para:340.1.1,103.1.1.2] equal(join(X,join(Y,Z)),join(meet(Y,join(Z,Y)),join(Z,X))).
% 419 [para:340.1.1,67.1.2.2.2,demod:410] equal(join(X,join(Y,Z)),join(meet(Y,join(Z,Y)),join(X,join(Y,Z)))).
% 421 [para:340.1.1,260.1.1] equal(join(X,Y),join(meet(join(Y,X),X),Y)).
% 422 [para:340.1.1,287.1.1.2.2,demod:340] equal(join(meet(X,join(Y,X)),meet(Y,join(X,Y))),join(X,Y)).
% 424 [para:343.1.1,15.1.1] equal(meet(X,join(Y,Z)),meet(join(Z,Y),X)).
% 425 [para:343.1.1,15.1.2] equal(meet(join(X,Y),Z),meet(Z,join(Y,X))).
% 426 [para:343.1.1,17.1.1,demod:17] equal(meet(X,meet(Y,join(Z,U))),meet(X,meet(Y,join(U,Z)))).
% 427 [para:343.1.1,17.1.1.1,demod:17] equal(meet(X,meet(join(Y,Z),U)),meet(X,meet(join(Z,Y),U))).
% 428 [para:343.1.1,37.1.2.2] equal(meet(join(X,Y),Z),meet(join(X,Y),meet(Z,join(Y,X)))).
% 433 [para:343.1.1,33.1.2.2] equal(meet(X,meet(join(Y,Z),U)),meet(U,meet(X,join(Z,Y)))).
% 437 [para:343.1.1,35.1.1.2] equal(meet(X,meet(Y,join(Z,U))),meet(Y,meet(X,join(U,Z)))).
% 442 [para:343.1.1,74.1.1.2] equal(meet(X,meet(Y,join(Z,U))),meet(X,meet(join(U,Z),Y))).
% 449 [para:343.1.1,257.1.1.2] equal(join(X,meet(Y,join(Z,U))),join(X,meet(join(U,Z),Y))).
% 453 [para:343.1.1,260.1.1.2] equal(join(X,meet(Y,join(Z,U))),join(meet(join(U,Z),Y),X)).
% 462 [para:344.1.1,17.1.1.1] equal(meet(join(X,Y),Z),meet(join(X,Y),meet(join(Y,X),Z))).
% 463 [para:18.1.1,344.1.1.1,demod:18] equal(meet(join(X,join(Y,Z)),join(Z,join(X,Y))),join(X,join(Y,Z))).
% 472 [para:257.1.1,344.1.1.2] equal(meet(join(meet(X,Y),Z),join(Z,meet(Y,X))),join(meet(X,Y),Z)).
% 495 [para:24.1.1,351.1.2.1.1,demod:236,17,351,24] equal(meet(join(X,Y),X),join(meet(join(X,Y),meet(X,Y)),X)).
% 508 [para:375.1.1,44.1.1.2] equal(join(X,join(Y,Z)),join(meet(join(Z,Y),Y),join(X,Z))).
% 518 [para:392.1.2,21.1.1.1.1,demod:13,43,508,63,18,344] equal(join(X,join(Y,meet(Y,X))),join(Y,X)).
% 527 [para:392.1.2,26.1.1.1.2,demod:13,43,508,63,18,344] equal(join(X,join(Y,meet(X,Y))),join(X,Y)).
% 528 [para:392.1.2,27.1.1.1.1,demod:13,43,351,14,18] equal(join(meet(join(X,Y),X),meet(Y,join(Y,X))),join(Y,X)).
% 529 [para:392.1.2,29.1.2.2.1,demod:344,13,43,508,63] equal(join(X,Y),join(meet(X,Y),join(Y,X))).
% 544 [para:424.1.1,15.1.1] equal(meet(join(X,Y),Z),meet(join(Y,X),Z)).
% 545 [para:424.1.1,17.1.1.1,demod:17] equal(meet(join(X,Y),meet(Z,U)),meet(Z,meet(join(Y,X),U))).
% 547 [para:18.1.1,424.1.1.2] equal(meet(X,join(Y,join(Z,U))),meet(join(U,join(Y,Z)),X)).
% 549 [para:424.1.1,19.1.1.1] equal(join(meet(join(X,Y),Z),meet(Z,Y)),meet(Z,join(Y,X))).
% 552 [para:424.1.2,19.1.1.2] equal(join(meet(join(X,Y),join(Z,U)),meet(Z,join(Y,X))),meet(join(X,Y),join(Z,U))).
% 554 [para:424.1.1,20.1.1] equal(meet(join(X,Y),join(Y,meet(X,Z))),join(Y,meet(X,Z))).
% 555 [para:424.1.2,20.1.1] equal(meet(join(X,Y),join(meet(Y,Z),X)),join(X,meet(Y,Z))).
% 558 [para:424.1.2,23.1.1.1,demod:55] equal(meet(X,join(Y,X)),meet(join(meet(X,Y),X),join(Y,X))).
% 566 [para:424.1.2,24.1.1.1,demod:351] equal(join(meet(X,join(Y,meet(Y,X))),Y),meet(join(Y,X),Y)).
% 567 [para:424.1.1,41.1.2.2.2] equal(meet(join(X,Y),meet(Z,U)),meet(join(X,Y),meet(Z,meet(join(Y,X),U)))).
% 569 [para:424.1.1,53.1.1.1] equal(join(meet(join(X,Y),Y),Y),meet(Y,join(Y,X))).
% 608 [para:518.1.1,16.1.1,demod:18] equal(join(X,Y),join(X,join(meet(X,Y),Y))).
% 609 [para:16.1.1,518.1.1.2] equal(join(X,join(meet(Y,X),Y)),join(Y,X)).
% 611 [para:518.1.1,18.1.1.1,demod:18] equal(join(X,join(Y,Z)),join(Y,join(X,join(meet(X,Y),Z)))).
% 619 [para:518.1.1,103.1.1] equal(join(X,Y),join(meet(X,Y),join(X,Y))).
% 628 [para:518.1.1,421.1.2.1.1,demod:608,18] equal(join(X,Y),join(meet(join(X,Y),join(X,meet(X,Y))),Y)).
% 632 [para:527.1.1,44.1.1.2,demod:18] equal(join(X,join(Y,Z)),join(Z,join(meet(Y,Z),join(X,Y)))).
% 635 [para:527.1.1,103.1.1.2,demod:18] equal(join(X,join(Y,Z)),join(Z,join(meet(Y,Z),join(Y,X)))).
% 637 [para:529.1.2,18.1.1.1,demod:18] equal(join(X,join(Y,Z)),join(meet(X,Y),join(Y,join(X,Z)))).
% 644 [para:529.1.2,44.1.1.2,demod:18] equal(join(X,join(Y,Z)),join(Z,join(Y,join(X,meet(Y,Z))))).
% 648 [para:529.1.2,46.1.1.2] equal(join(X,join(Y,Z)),join(meet(Y,Z),join(X,join(Z,Y)))).
% 704 [para:608.1.2,392.1.2.1.2,demod:529,18] equal(join(X,Y),join(meet(join(meet(X,Y),Y),join(X,Y)),X)).
% 705 [para:608.1.2,421.1.2.1.1,demod:529,18] equal(join(X,Y),join(meet(join(X,Y),join(meet(X,Y),Y)),X)).
% 713 [para:609.1.1,103.1.1.2,demod:18] equal(join(X,join(Y,Z)),join(meet(Y,Z),join(Y,join(Z,X)))).
% 717 [para:609.1.1,375.1.1.2.1,demod:619,18] equal(join(X,meet(join(Y,X),join(meet(Y,X),Y))),join(Y,X)).
% 739 [para:15.1.1,83.1.1.1.2] equal(meet(join(X,meet(Y,X)),X),join(X,meet(X,Y))).
% 740 [para:16.1.1,83.1.1.1] equal(meet(join(meet(X,Y),X),X),join(X,meet(X,Y))).
% 741 [para:83.1.1,17.1.1.1] equal(meet(join(X,meet(X,Y)),Z),meet(join(X,meet(X,Y)),meet(X,Z))).
% 753 [para:83.1.1,424.1.2] equal(meet(X,join(meet(X,Y),X)),join(X,meet(X,Y))).
% 755 [para:15.1.1,228.1.2.1.1] equal(meet(X,Y),meet(join(meet(Y,X),X),meet(X,Y))).
% 756 [para:16.1.1,228.1.2.1,demod:741] equal(meet(X,Y),meet(join(X,meet(X,Y)),Y)).
% 760 [para:228.1.2,33.1.1,demod:740] equal(meet(X,Y),meet(Y,join(X,meet(X,Y)))).
% 783 [para:15.1.1,756.1.2.1.2] equal(meet(X,Y),meet(join(X,meet(Y,X)),Y)).
% 784 [para:16.1.1,756.1.2.1] equal(meet(X,Y),meet(join(meet(X,Y),X),Y)).
% 786 [para:756.1.2,17.1.1.1,demod:17] equal(meet(X,meet(Y,Z)),meet(join(X,meet(X,Y)),meet(Y,Z))).
% 799 [para:756.1.2,24.1.1.1.1.1,demod:628,608,18,784,63] equal(join(meet(X,Y),X),meet(join(X,Y),join(X,meet(X,Y)))).
% 806 [para:260.1.1,756.1.2.1] equal(meet(X,Y),meet(join(meet(Y,X),X),Y)).
% 813 [para:756.1.2,424.1.2] equal(meet(X,join(meet(Y,X),Y)),meet(Y,X)).
% 815 [para:756.1.2,30.1.1.1,demod:14,351,13] equal(join(meet(X,Y),X),meet(join(X,Y),X)).
% 817 [para:756.1.2,425.1.1,demod:815] equal(meet(X,Y),meet(Y,meet(join(X,Y),X))).
% 818 [para:756.1.2,544.1.1,demod:17,815] equal(meet(X,Y),meet(join(X,Y),meet(X,Y))).
% 819 [para:756.1.2,36.1.1.1,demod:815,818,14,37,32,13,17] equal(meet(X,Y),meet(join(meet(X,Y),Y),meet(join(X,Y),X))).
% 820 [para:83.1.1,756.1.2.1.2,demod:37,17,321,815,63,18,83] equal(join(X,meet(X,Y)),meet(X,join(X,Y))).
% 823 [para:756.1.2,756.1.2.1.2,demod:817,57,17,820] equal(meet(X,meet(join(X,Y),Y)),meet(Y,X)).
% 826 [para:39.1.2,527.1.1.2.2,demod:820,251,41] equal(meet(X,join(X,meet(Y,Z))),join(X,meet(Y,meet(Z,X)))).
% 828 [para:39.1.2,619.1.2.1,demod:826,41] equal(meet(X,join(X,meet(Y,Z))),join(meet(X,meet(Y,Z)),meet(X,join(X,meet(Y,Z))))).
% 829 [para:15.1.1,760.1.2.2.2] equal(meet(X,Y),meet(Y,join(X,meet(Y,X)))).
% 833 [para:760.1.2,32.1.2.2,demod:37,820] equal(meet(X,meet(Y,join(Y,X))),meet(X,Y)).
% 834 [para:760.1.2,33.1.1.2,demod:17,820] equal(meet(X,meet(Y,Z)),meet(Y,meet(join(Y,Z),meet(X,Z)))).
% 843 [para:260.1.1,760.1.2.2] equal(meet(X,Y),meet(Y,join(meet(Y,X),X))).
% 853 [para:760.1.2,756.1.2.1.2,demod:833,820] equal(meet(X,Y),meet(join(X,meet(Y,X)),meet(Y,join(Y,X)))).
% 854 [para:756.1.2,760.1.2.2.2,demod:57,823,17,820] equal(meet(X,Y),meet(X,meet(Y,join(X,Y)))).
% 860 [para:783.1.2,33.1.1.2] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,join(Y,meet(Z,Y))))).
% 864 [para:783.1.2,35.1.1.2] equal(meet(X,meet(Y,Z)),meet(join(Y,meet(Z,Y)),meet(X,Z))).
% 866 [para:783.1.2,23.1.1.2,demod:86,338,18,829,428,17,815,23,527] equal(meet(join(X,Y),X),join(X,meet(Y,X))).
% 871 [para:25.1.2,783.1.2.1.2,demod:817,866,555,549,14,37,843,17,818,815] equal(meet(join(X,Y),meet(Y,X)),meet(Y,X)).
% 882 [para:784.1.2,17.1.1.1,demod:815,17] equal(meet(X,meet(Y,Z)),meet(join(X,Y),meet(X,meet(Y,Z)))).
% 898 [para:784.1.2,36.1.1.1,demod:14,351,37,17] equal(join(meet(X,meet(Y,Z)),meet(X,Y)),meet(join(meet(X,Y),Z),meet(X,Y))).
% 900 [para:760.1.2,784.1.2.1.1,demod:833,820] equal(meet(X,Y),meet(join(meet(Y,X),X),meet(Y,join(Y,X)))).
% 908 [para:20.1.1,806.1.2.1.1,demod:815,66,18,84] equal(join(X,meet(Y,Z)),meet(join(X,meet(join(Y,Z),Y)),join(X,meet(Y,Z)))).
% 912 [para:806.1.2,24.1.1.1.1.1,demod:705,529,18,806,253] equal(join(meet(X,Y),Y),meet(join(X,Y),join(meet(X,Y),Y))).
% 923 [para:16.1.1,50.1.2] -equal(meet(a,join(c,b)),join(meet(a,c),meet(a,b))).
% 933 [para:15.1.1,815.1.1.1] equal(join(meet(X,Y),Y),meet(join(Y,X),Y)).
% 934 [para:815.1.1,18.1.1.1] equal(join(meet(join(X,Y),X),Z),join(meet(X,Y),join(X,Z))).
% 936 [para:33.1.1,815.1.1.1] equal(join(meet(X,meet(Y,Z)),Y),meet(join(Y,meet(Z,X)),Y)).
% 937 [para:33.1.2,815.1.1.1] equal(join(meet(X,meet(Y,Z)),Z),meet(join(Z,meet(X,Y)),Z)).
% 938 [para:815.1.1,20.1.1.2] equal(meet(join(meet(X,Y),meet(X,Z)),meet(join(X,Y),X)),join(meet(X,Y),meet(X,Z))).
% 939 [para:815.1.1,42.1.1.2.2,demod:815,321] equal(join(meet(X,Y),meet(X,join(X,Y))),meet(join(X,Y),X)).
% 941 [para:815.1.1,44.1.1.2] equal(join(X,meet(join(Y,Z),Y)),join(Y,join(X,meet(Y,Z)))).
% 942 [para:815.1.1,44.1.2,demod:18] equal(join(X,join(Y,meet(join(X,Y),Z))),meet(join(X,join(Y,Z)),join(X,Y))).
% 943 [para:815.1.1,44.1.2.2] equal(join(meet(X,Y),join(X,Z)),join(Z,meet(join(X,Y),X))).
% 946 [para:815.1.1,46.1.1,demod:18] equal(meet(join(X,join(Y,Z)),join(X,Y)),join(X,join(meet(join(X,Y),Z),Y))).
% 947 [para:815.1.1,46.1.1.2] equal(join(X,meet(join(Y,Z),Y)),join(meet(Y,Z),join(X,Y))).
% 948 [para:815.1.1,46.1.2.2] equal(join(meet(X,Y),join(Z,X)),join(Z,meet(join(X,Y),X))).
% 949 [para:815.1.1,103.1.1,demod:18] equal(meet(join(X,join(Y,Z)),join(X,Y)),join(Y,join(X,meet(join(X,Y),Z)))).
% 952 [para:815.1.1,112.1.1,demod:18] equal(meet(join(X,join(Y,Z)),join(X,Y)),join(meet(join(X,Y),Z),join(Y,X))).
% 956 [para:815.1.1,67.1.2.2.2] equal(join(X,join(Y,meet(X,Z))),join(X,join(Y,meet(join(X,Z),X)))).
% 957 [para:815.1.1,257.1.1,demod:17] equal(meet(join(meet(X,Y),Z),meet(X,Y)),join(meet(X,meet(Y,Z)),meet(Y,X))).
% 958 [para:815.1.1,260.1.1,demod:17] equal(meet(join(meet(X,Y),Z),meet(X,Y)),join(meet(Y,X),meet(X,meet(Y,Z)))).
% 975 [para:818.1.2,33.1.1.2,demod:17] equal(meet(X,meet(Y,Z)),meet(Y,meet(Z,meet(X,join(Y,Z))))).
% 980 [para:35.1.1,818.1.2.2] equal(meet(X,meet(Y,Z)),meet(join(X,meet(Y,Z)),meet(Y,meet(X,Z)))).
% 981 [para:44.1.1,818.1.2.1] equal(meet(X,join(Y,Z)),meet(join(Z,join(X,Y)),meet(X,join(Y,Z)))).
% 984 [para:818.1.2,68.1.1.2,demod:17] equal(meet(X,meet(Y,Z)),meet(Y,meet(Z,meet(join(Y,Z),X)))).
% 1001 [para:820.1.1,18.1.1.1] equal(join(meet(X,join(X,Y)),Z),join(X,join(meet(X,Y),Z))).
% 1003 [para:33.1.1,820.1.1.2] equal(join(X,meet(Y,meet(X,Z))),meet(X,join(X,meet(Z,Y)))).
% 1004 [para:820.1.1,44.1.1.2] equal(join(X,meet(Y,join(Y,Z))),join(meet(Y,Z),join(X,Y))).
% 1013 [para:424.1.2,820.1.1.2,demod:18] equal(join(X,join(Y,meet(Z,join(Y,X)))),meet(join(X,Y),join(X,join(Y,Z)))).
% 1014 [para:544.1.1,820.1.1.2,demod:949,18] equal(meet(join(X,join(Y,Z)),join(X,Y)),meet(join(Y,X),join(Y,join(X,Z)))).
% 1020 [para:44.1.2,823.1.1.2.1,demod:1014] equal(meet(X,meet(join(Y,Z),join(Y,join(Z,X)))),meet(join(Z,Y),X)).
% 1038 [para:103.1.1,833.1.1.2.2] equal(meet(join(X,Y),meet(Z,join(Y,join(X,Z)))),meet(join(X,Y),Z)).
% 1050 [para:854.1.2,35.1.1.2] equal(meet(X,meet(Y,Z)),meet(Y,meet(X,meet(Z,join(Y,Z))))).
% 1058 [para:15.1.1,54.1.1.2] equal(join(meet(join(X,Y),Z),meet(X,Z)),meet(Z,join(X,Y))).
% 1069 [para:20.1.1,54.1.1.1,demod:84,956,18] equal(join(X,join(meet(Y,Z),meet(X,Y))),join(X,meet(Y,Z))).
% 1096 [para:83.1.1,54.1.1.2,demod:17,1001,211,933,820] equal(meet(join(X,join(meet(X,Y),Z)),meet(X,join(X,Y))),meet(X,meet(join(X,Y),join(X,Z)))).
% 1104 [para:866.1.2,18.1.1,demod:1014,18] equal(meet(join(X,Y),join(X,join(Y,Z))),join(Y,join(X,meet(Z,join(Y,X))))).
% 1107 [para:35.1.1,866.1.2.2] equal(meet(join(meet(X,Y),Z),meet(X,Y)),join(meet(X,Y),meet(X,meet(Z,Y)))).
% 1108 [para:866.1.2,44.1.1.2] equal(join(X,meet(join(Y,Z),Y)),join(meet(Z,Y),join(X,Y))).
% 1116 [para:866.1.2,103.1.1.2] equal(join(X,meet(join(Y,Z),Y)),join(meet(Z,Y),join(Y,X))).
% 1119 [para:866.1.2,260.1.2] equal(join(meet(X,meet(Y,Z)),meet(Z,Y)),meet(join(meet(Y,Z),X),meet(Y,Z))).
% 1121 [para:866.1.2,54.1.1.1.1,demod:866,1119,17] equal(meet(join(meet(X,Y),join(X,Z)),meet(X,Y)),meet(Y,meet(join(X,Z),X))).
% 1141 [para:35.1.1,933.1.1.1] equal(join(meet(X,meet(Y,Z)),meet(X,Z)),meet(join(meet(X,Z),Y),meet(X,Z))).
% 1153 [para:16.1.1,55.1.1.1.2] equal(join(meet(X,join(Y,Z)),meet(Z,X)),meet(X,join(Z,Y))).
% 1159 [para:35.1.1,55.1.1.2,demod:17] equal(join(meet(X,meet(Y,join(Z,U))),meet(X,meet(Z,Y))),meet(X,meet(Y,join(Z,U)))).
% 1160 [para:55.1.1,44.1.1.2] equal(join(X,meet(Y,join(Z,U))),join(meet(Z,Y),join(X,meet(Y,join(Z,U))))).
% 1163 [para:55.1.1,46.1.1.2] equal(join(X,meet(Y,join(Z,U))),join(meet(Y,join(Z,U)),join(X,meet(Z,Y)))).
% 1170 [para:424.1.1,55.1.1.1] equal(join(meet(join(X,Y),Z),meet(Y,Z)),meet(Z,join(Y,X))).
% 1194 [para:291.1.1,208.1.1.1.1,demod:17,253,933] equal(meet(join(meet(X,Y),Z),meet(Y,X)),meet(Y,meet(X,join(meet(Y,X),Z)))).
% 1200 [para:210.1.1,44.1.1.2] equal(join(X,meet(Y,join(Y,Z))),join(Y,join(X,meet(Y,join(Z,Y))))).
% 1208 [para:17.1.1,56.1.2.1,demod:17] equal(meet(X,meet(Y,join(Z,U))),join(meet(X,meet(Y,Z)),meet(X,meet(Y,join(Z,U))))).
% 1210 [para:37.1.2,56.1.2.1] equal(meet(X,join(meet(Y,X),Z)),join(meet(X,Y),meet(X,join(meet(Y,X),Z)))).
% 1214 [para:56.1.2,20.1.1.1,demod:56,41,17,815] equal(meet(X,meet(join(Y,Z),join(X,Y))),meet(X,join(Y,Z))).
% 1216 [para:44.1.1,56.1.2.2.2] equal(meet(X,join(Y,join(Z,U))),join(meet(X,Y),meet(X,join(U,join(Y,Z))))).
% 1223 [para:392.1.2,56.1.2.2.2,demod:392] equal(meet(X,join(Y,Z)),join(meet(X,meet(Y,join(Z,Y))),meet(X,join(Y,Z)))).
% 1227 [para:424.1.1,56.1.2.2] equal(meet(X,join(Y,Z)),join(meet(X,Y),meet(join(Z,Y),X))).
% 1229 [para:529.1.2,56.1.2.2.2,demod:529] equal(meet(X,join(Y,Z)),join(meet(X,meet(Y,Z)),meet(X,join(Y,Z)))).
% 1240 [para:74.1.1,321.1.1.2,demod:17,43,958,1194] equal(meet(join(meet(X,Y),Z),meet(X,Y)),meet(Y,meet(X,join(meet(Y,X),Z)))).
% 1249 [para:57.1.1,18.1.1.1] equal(join(meet(X,join(Y,Z)),U),join(meet(X,join(Z,Y)),join(meet(X,Y),U))).
% 1298 [para:58.1.1,18.1.1.1] equal(join(meet(X,meet(Y,join(Z,U))),V),join(meet(X,meet(Y,join(Z,U))),join(meet(X,meet(Y,Z)),V))).
% 1299 [para:23.1.1,58.1.1.1.2.2,demod:1170,14,428,17,815] equal(meet(X,meet(Y,meet(join(Z,U),Z))),meet(X,meet(Y,meet(Z,join(U,Z))))).
% 1307 [para:424.1.1,58.1.1.1.2] equal(join(meet(X,meet(join(Y,Z),U)),meet(X,meet(U,Z))),meet(X,meet(U,join(Z,Y)))).
% 1338 [para:739.1.1,19.1.1.2,demod:43,934,957,820,17,866] equal(meet(join(meet(X,Y),join(X,Z)),meet(join(X,Y),X)),meet(join(X,Y),meet(X,join(X,Z)))).
% 1347 [para:739.1.1,59.1.1.1.2.1,demod:1338,66,43,934,898,13,17,1001,820,866] equal(meet(join(X,Y),meet(X,join(X,Z))),meet(join(X,Y),meet(X,join(meet(X,Y),join(X,Z))))).
% 1351 [para:60.1.1,260.1.1] equal(meet(X,join(meet(Y,X),Z)),join(meet(Y,X),meet(X,join(meet(Y,X),Z)))).
% 1352 [para:60.1.1,260.1.2] equal(join(meet(X,Y),meet(join(meet(Y,X),Z),X)),meet(X,join(meet(Y,X),Z))).
% 1367 [para:23.1.1,61.1.2.1.2,demod:43,428,17,815,1170] equal(join(meet(X,meet(Y,join(Z,Y))),U),join(meet(X,meet(join(Y,Z),Y)),U)).
% 1386 [para:421.1.2,61.1.2.2,demod:1014,43,952] equal(join(meet(join(X,Y),join(Y,Z)),X),meet(join(Y,X),join(Y,join(X,Z)))).
% 1387 [para:424.1.1,61.1.2.1] equal(join(meet(X,join(Y,Z)),U),join(meet(join(Z,Y),X),join(meet(X,Y),U))).
% 1398 [para:815.1.1,61.1.2.2,demod:815] equal(meet(join(X,join(Y,Z)),X),join(meet(X,join(Y,Z)),meet(join(X,Y),X))).
% 1406 [para:933.1.1,61.1.2.2] equal(join(meet(X,join(Y,Z)),Y),join(meet(X,join(Y,Z)),meet(join(Y,X),Y))).
% 1408 [para:569.1.1,61.1.2.2,demod:552] equal(join(meet(join(X,Y),join(Y,Z)),Y),meet(join(X,Y),join(Y,Z))).
% 1410 [para:753.1.1,61.1.2.1,demod:1249,32,820,1001,37,815] equal(join(X,join(meet(X,Y),Z)),join(meet(X,join(Y,X)),Z)).
% 1414 [para:23.1.1,62.1.1.1.2.2,demod:1170,14,428,17,815] equal(meet(X,join(Y,meet(join(Z,U),Z))),meet(X,join(Y,meet(Z,join(U,Z))))).
% 1429 [para:813.1.1,62.1.1.1,demod:1020,1014,18,815,1351] equal(meet(X,join(meet(join(Y,Z),X),Y)),meet(join(Y,Z),X)).
% 1544 [para:70.1.1,820.1.1.2] equal(join(X,meet(Y,meet(Z,meet(X,U)))),meet(X,join(X,meet(U,meet(Y,Z))))).
% 1767 [para:424.1.1,76.1.1.1] equal(join(meet(join(X,meet(Y,Z)),U),meet(Y,meet(Z,U))),meet(U,join(meet(Y,Z),X))).
% 1772 [para:15.1.1,84.1.2.2.2] equal(join(X,meet(Y,Z)),meet(join(X,Y),join(X,meet(Z,Y)))).
% 1775 [para:43.1.2,84.1.2.1] equal(join(X,meet(join(X,Y),Z)),meet(join(X,Y),join(X,meet(join(X,Y),Z)))).
% 1780 [para:44.1.2,84.1.2.1] equal(join(X,meet(join(Y,Z),U)),meet(join(Y,join(Z,X)),join(X,meet(join(Y,Z),U)))).
% 1785 [para:25.1.2,84.1.2.2.2,demod:14,37,871,817,17,815,933,818] equal(join(X,meet(Y,Z)),meet(join(X,meet(join(Z,Y),Z)),join(X,meet(Y,Z)))).
% 1789 [para:260.1.1,84.1.2.2] equal(join(X,meet(Y,Z)),meet(join(X,Y),join(meet(Z,Y),X))).
% 1798 [para:424.1.2,84.1.2.2.2] equal(join(X,meet(join(Y,Z),U)),meet(join(X,join(Y,Z)),join(X,meet(U,join(Z,Y))))).
% 1805 [para:84.1.2,55.1.1.1,demod:84,214,18] equal(join(meet(X,Y),meet(Z,join(Z,X))),join(Z,meet(X,Y))).
% 1806 [para:84.1.2,56.1.2.2,demod:43,934,84] equal(join(X,meet(Y,Z)),join(meet(X,Y),join(X,meet(Y,Z)))).
% 1807 [para:56.1.2,84.1.2.2,demod:32,17,815,56] equal(meet(X,join(Y,Z)),meet(join(X,Y),meet(X,join(Y,Z)))).
% 1812 [para:85.1.1,17.1.1.1] equal(meet(join(X,meet(Y,Z)),U),meet(join(X,meet(Z,Y)),meet(join(X,Y),U))).
% 1825 [para:46.1.1,85.1.1.2] equal(meet(join(X,meet(Y,join(Z,U))),join(Z,join(X,U))),join(X,meet(join(Z,U),Y))).
% 1831 [para:53.1.1,85.1.1.2,demod:40,1299,866,1096,1001] equal(meet(X,meet(join(X,Y),join(Z,X))),join(X,join(meet(X,Y),meet(X,Z)))).
% 1841 [para:85.1.1,424.1.1] equal(join(X,meet(Y,Z)),meet(join(Y,X),join(X,meet(Z,Y)))).
% 1845 [para:85.1.1,820.1.1.2,demod:1414,933,66,43,256,18] equal(join(X,meet(Y,Z)),meet(join(X,meet(Y,Z)),join(X,meet(Z,join(Y,Z))))).
% 1869 [para:86.1.1,33.1.1.2] equal(meet(X,join(Y,meet(Z,U))),meet(join(Y,Z),meet(X,join(meet(Z,U),Y)))).
% 1887 [para:25.1.2,86.1.1.1.1,demod:871,817,17,815,1414,933,818,14,37] equal(meet(join(meet(X,Y),Z),join(Z,meet(Y,join(X,Y)))),join(Z,meet(X,Y))).
% 1894 [para:339.1.2,86.1.1.2,demod:1001,20,1805] equal(join(X,meet(Y,Z)),join(X,join(meet(X,Y),meet(Y,Z)))).
% 1899 [para:86.1.1,424.1.1] equal(join(X,meet(Y,Z)),meet(join(Y,X),join(meet(Y,Z),X))).
% 1942 [para:87.1.1,33.1.1.2] equal(meet(X,join(Y,meet(Z,U))),meet(join(Z,Y),meet(X,join(Y,meet(Z,U))))).
% 1949 [para:87.1.1,68.1.1.2] equal(meet(X,join(Y,meet(Z,U))),meet(join(Z,Y),meet(join(Y,meet(Z,U)),X))).
% 1952 [para:260.1.1,87.1.1.1] equal(meet(join(meet(X,Y),Z),join(Y,Z)),join(Z,meet(Y,X))).
% 1953 [para:83.1.1,87.1.1.1.2,demod:37,17,1001,820] equal(meet(join(X,meet(Y,join(Y,Z))),join(Y,join(meet(Y,Z),X))),join(X,meet(Y,join(Y,Z)))).
% 1958 [para:820.1.1,87.1.1.2] equal(meet(join(meet(X,Y),meet(X,Z)),meet(X,join(X,Y))),join(meet(X,Y),meet(X,Z))).
% 2000 [para:806.1.2,88.1.2.2,demod:1194] equal(meet(join(meet(X,Y),meet(Y,Z)),X),meet(Y,meet(X,join(meet(Y,X),meet(Y,Z))))).
% 2114 [para:424.1.1,256.1.2.1] equal(join(X,meet(Y,join(Z,U))),join(meet(join(U,Z),Y),join(X,meet(join(Z,U),Y)))).
% 2658 [para:866.1.2,91.1.1.1.1,demod:713,43,934,898,866,17] equal(meet(join(X,join(Y,Z)),meet(join(Y,Z),Y)),meet(join(Y,Z),meet(Y,join(Y,join(Z,X))))).
% 2661 [para:56.1.2,91.1.1.1.1,demod:1121,61,898,56,17] equal(meet(join(X,Y),meet(join(Z,U),Z)),meet(Z,meet(join(X,Y),join(meet(Z,X),join(Z,U))))).
% 2662 [para:321.1.1,91.1.1.1.1,demod:347,211,898,321,17,43,18] equal(meet(join(X,join(Y,Z)),meet(Y,join(Y,Z))),meet(Y,meet(join(Y,Z),join(Y,join(Z,X))))).
% 2725 [para:147.1.1,933.1.1.1,demod:18] equal(join(meet(X,join(Y,join(Z,U))),join(Y,join(U,Z))),meet(join(Y,join(U,join(Z,X))),join(Y,join(U,Z)))).
% 2883 [para:94.1.1,424.1.2] equal(meet(join(X,Y),join(meet(join(Y,X),Z),X)),join(X,meet(join(Y,X),Z))).
% 2954 [para:87.1.1,95.1.2.2,demod:87] equal(join(meet(X,Y),meet(Z,U)),meet(join(Z,X),join(meet(X,Y),meet(Z,U)))).
% 2980 [para:271.1.1,933.1.1,demod:1014,18] equal(join(meet(X,join(Y,meet(Z,U))),join(Y,meet(U,Z))),meet(join(meet(Z,U),Y),join(meet(Z,U),join(Y,X)))).
% 3053 [para:178.1.2,871.1.1.1] equal(meet(join(X,join(Y,join(Z,U))),meet(join(X,join(Z,Y)),U)),meet(join(X,join(Z,Y)),U)).
% 3094 [para:181.1.1,208.1.1,demod:231,66,2725,18] equal(meet(join(X,join(Y,join(Z,U))),join(X,join(Y,Z))),meet(join(X,join(Z,Y)),join(X,join(Z,join(Y,U))))).
% 3116 [para:182.1.1,933.1.1,demod:3094,18] equal(join(meet(X,join(Y,join(Z,U))),join(Z,join(Y,U))),meet(join(Y,join(U,Z)),join(Y,join(U,join(Z,X))))).
% 3121 [para:182.1.1,755.1.2.1,demod:3053,17,3116] equal(meet(join(X,join(Y,Z)),U),meet(join(X,join(Z,Y)),meet(join(X,join(Y,Z)),U))).
% 3135 [para:183.1.2,815.1.1,demod:3094,18] equal(join(meet(join(X,join(Y,Z)),U),join(Y,join(Z,X))),meet(join(X,join(Z,Y)),join(X,join(Z,join(Y,U))))).
% 3697 [para:103.1.1,102.1.2.2.2] equal(meet(X,join(Y,meet(join(Z,U),V))),meet(join(Y,meet(join(Z,U),V)),meet(X,join(U,join(Z,Y))))).
% 3728 [para:753.1.1,102.1.2.2,demod:1958,820] equal(meet(X,join(meet(X,Y),meet(X,Z))),join(meet(X,Y),meet(X,Z))).
% 3899 [para:109.1.1,260.1.1] equal(meet(X,join(Y,join(Z,U))),join(meet(Y,X),meet(X,join(U,join(Y,Z))))).
% 3910 [para:109.1.1,817.1.2.2.1,demod:463,40,17] equal(meet(X,meet(join(Y,join(Z,U)),Z)),meet(X,meet(Z,join(Z,join(U,Y))))).
% 3913 [para:109.1.1,60.1.1.1.2,demod:109,3121,3053,17,3135,898] equal(meet(join(X,join(Y,Z)),U),meet(join(X,join(Y,Z)),meet(U,join(Y,join(Z,X))))).
% 3953 [para:294.1.1,57.1.1] equal(join(meet(X,meet(Y,Z)),meet(Y,join(U,meet(Z,X)))),meet(Y,join(meet(Z,X),U))).
% 3961 [para:294.1.1,87.1.1.1] equal(meet(join(meet(X,meet(Y,Z)),U),join(Y,U)),join(U,meet(Y,meet(Z,X)))).
% 4245 [para:529.1.2,299.1.1.2.2,demod:529,17] equal(join(meet(X,meet(Y,Z)),meet(Z,join(X,Y))),meet(Z,join(X,Y))).
% 4312 [para:93.1.1,300.1.1.2,demod:1775,43,934] equal(join(meet(X,Y),join(X,meet(join(X,Y),Z))),join(X,meet(join(X,Y),Z))).
% 4363 [para:302.1.1,57.1.1.1,demod:1952,1352,18] equal(join(X,meet(Y,join(meet(Z,Y),X))),join(X,meet(Y,Z))).
% 4373 [para:302.1.1,71.1.2.2.2] equal(meet(join(meet(X,Y),Z),meet(U,meet(V,join(Z,Y)))),meet(U,meet(V,join(Z,meet(Y,X))))).
% 4832 [para:300.1.1,113.1.1.1,demod:300,1841,17,933] equal(meet(X,join(Y,meet(Z,join(Z,X)))),meet(X,join(Z,Y))).
% 4908 [para:346.1.2,854.1.2.2.2,demod:1414,85,4832] equal(meet(X,join(Y,Z)),meet(X,join(Z,meet(Y,join(X,Y))))).
% 5232 [para:126.1.2,91.1.1.1.1,demod:66,414,898,126,637,18,1807,17,815] equal(meet(join(X,join(Y,Z)),meet(X,join(Z,X))),meet(X,meet(join(Z,X),join(Z,join(X,Y))))).
% 5513 [para:382.1.2,383.1.1.2.1,demod:2658,382,1216,820,934,981,1807,17] equal(meet(X,join(Y,join(Z,X))),meet(join(X,Y),meet(X,join(X,join(Y,Z))))).
% 5592 [para:410.1.2,818.1.2.1,demod:17] equal(meet(X,meet(join(Y,X),join(Z,Y))),meet(join(Z,join(X,Y)),meet(X,meet(join(Y,X),join(Z,Y))))).
% 5622 [para:410.1.2,383.1.1.2.1,demod:410,2883,1831,1410,5592,17] equal(meet(X,join(X,meet(join(Y,X),join(Z,Y)))),meet(join(Z,join(X,Y)),meet(X,join(Y,X)))).
% 5640 [para:414.1.2,53.1.1.1.2,demod:414,5622,419,898,17] equal(meet(X,join(X,meet(join(Y,X),join(Z,Y)))),meet(X,meet(join(Y,X),join(Z,join(X,Y))))).
% 5706 [para:426.1.1,740.1.1.1.1,demod:820,13,17,815] equal(meet(join(X,meet(Y,join(Z,U))),X),meet(X,join(X,meet(Y,join(U,Z))))).
% 5744 [para:427.1.1,740.1.1.1.1,demod:820,13,17,815] equal(meet(join(X,meet(join(Y,Z),U)),X),meet(X,join(X,meet(join(Z,Y),U)))).
% 6176 [para:15.1.1,132.1.1.1,demod:323,934,462,815] equal(join(meet(join(X,Y),Y),Z),join(meet(Y,X),join(Y,Z))).
% 6201 [para:132.1.1,818.1.2.1,demod:323,934,1807,17,815] equal(meet(X,meet(join(Y,X),Z)),meet(join(meet(X,Y),join(X,Z)),meet(X,meet(join(Y,X),Z)))).
% 6210 [para:132.1.1,61.1.2.2,demod:61,323,934,1807,17,18,815] equal(join(meet(X,join(Y,join(X,Z))),U),join(meet(X,join(Y,join(X,Z))),join(X,U))).
% 6266 [para:132.1.1,383.1.1.2.1,demod:2883,1831,1410,6201,323,934,1807,17,815] equal(meet(X,join(X,meet(join(Y,X),Z))),meet(join(X,join(meet(X,Y),Z)),meet(X,join(Y,X)))).
% 6308 [para:407.1.2,133.1.1.1.1.2,demod:185,648,412,934,1798,422,815,1367,1013,1160,6176,18,1807,4908,17,1772] equal(meet(join(X,Y),join(X,join(Y,Z))),join(X,meet(join(Y,Z),Y))).
% 6309 [para:414.1.2,133.1.1.1.1,demod:173,6308,1014,18,815,1058,338,933,1410] equal(meet(join(X,Y),join(Z,join(Y,X))),join(Y,meet(join(X,Z),X))).
% 6322 [para:85.1.1,437.1.1.2] equal(meet(X,join(Y,meet(Z,U))),meet(join(Y,meet(U,Z)),meet(X,join(Z,Y)))).
% 6889 [para:135.1.2,133.1.1.1.1.2,demod:1845,1163,299,18,1410,1767,1807,17,815] equal(meet(join(X,meet(Y,Z)),join(Z,join(meet(Z,Y),X))),meet(join(X,meet(Z,join(Y,Z))),join(X,meet(Y,Z)))).
% 6897 [para:453.1.2,27.1.1] equal(join(meet(X,Y),meet(Z,join(X,meet(Z,Y)))),meet(join(meet(join(Y,Z),X),Z),join(X,Y))).
% 6988 [para:453.1.2,133.1.1,demod:173,6308,1014,815,3899,18] equal(meet(join(X,Y),join(Z,join(X,Y))),join(Y,meet(join(X,Z),X))).
% 7112 [para:345.1.2,136.1.1.2.1,demod:114,6308,1014,66,67,815,345,14,287,18] equal(meet(join(X,join(Y,Z)),join(X,Z)),join(Z,meet(join(X,Y),X))).
% 7115 [para:347.1.2,136.1.1.2.1,demod:185,6308,1014,67,43,815,347,14,346,18] equal(meet(join(X,join(Y,Z)),join(Z,X)),join(X,meet(join(Z,Y),Z))).
% 7347 [para:260.1.2,139.1.1.1,demod:934,32,6322,1807,17,815,1003,1805] equal(meet(X,join(X,meet(Y,Z))),join(meet(X,Y),meet(X,join(X,meet(Z,Y))))).
% 7348 [para:139.1.1,518.1.1.2.2,demod:1200,214,1410,209,828,1001,7347,1003,934,1807,17,815] equal(join(meet(X,Y),meet(X,join(X,meet(Y,Z)))),join(meet(X,meet(Y,Z)),meet(X,join(X,Y)))).
% 7349 [para:139.1.1,54.1.1.1,demod:32,1942,7348,1200,1001,37,462,1807,17,815,7347,1003,934] equal(join(meet(X,Y),meet(X,join(X,meet(Y,Z)))),meet(X,join(X,meet(Y,Z)))).
% 7474 [para:545.1.1,300.1.1.2,demod:17] equal(join(meet(X,meet(Y,Z)),meet(X,meet(join(U,Z),Y))),meet(X,meet(Y,join(Z,U)))).
% 7874 [para:547.1.1,85.1.1] equal(meet(join(X,join(Y,Z)),join(Y,meet(U,join(Z,X)))),join(Y,meet(join(Z,X),U))).
% 7976 [para:347.1.2,140.1.1.1.1,demod:1825,17,346,18,347,898,820,1223,1001,1214,1414,6308,2662] equal(meet(X,join(X,join(Y,Z))),meet(X,join(X,meet(join(Z,Y),Y)))).
% 8071 [para:87.1.1,549.1.1.1,demod:1899,1121,866,18] equal(join(X,meet(Y,meet(join(Z,X),Z))),join(X,meet(Z,Y))).
% 8076 [para:549.1.1,115.1.2.2.2] equal(join(meet(join(X,Y),Z),join(U,join(meet(Z,Y),V))),join(V,join(U,meet(Z,join(Y,X))))).
% 8087 [para:549.1.1,275.1.1.2] equal(join(X,meet(Y,join(Z,U))),join(meet(Z,Y),join(X,meet(join(U,Z),Y)))).
% 8089 [para:549.1.1,276.1.2.2] equal(join(meet(join(X,Y),Z),join(meet(Y,Z),U)),join(U,meet(Z,join(Y,X)))).
% 8090 [para:549.1.1,280.1.1.2] equal(join(X,meet(Y,join(Z,U))),join(meet(join(U,Z),Y),join(X,meet(Z,Y)))).
% 8175 [para:228.1.2,554.1.1.2.2,demod:818,32,17,7115,934,815] equal(join(meet(X,Y),meet(join(Z,X),Z)),join(Z,meet(X,Y))).
% 8217 [para:392.1.2,555.1.1.1,demod:1894,1410,2954] equal(join(meet(X,Y),meet(Z,join(X,Z))),join(Z,meet(X,Y))).
% 8226 [para:203.1.2,555.1.1.1,demod:4312,934,3728] equal(join(meet(join(X,Y),Z),meet(join(X,Y),X)),join(X,meet(join(X,Y),Z))).
% 8233 [para:60.1.1,555.1.1.2,demod:1210,32,17,815] equal(meet(join(X,Y),meet(X,join(meet(Y,X),Z))),meet(X,join(meet(Y,X),Z))).
% 8260 [para:296.1.1,555.1.1.2,demod:18] equal(meet(join(X,join(Y,Z)),join(X,join(meet(U,Z),Y))),join(X,join(Y,meet(Z,U)))).
% 8283 [para:53.1.1,141.1.2.2,demod:1807,815,1347,17,934] equal(join(meet(join(X,Y),meet(X,join(X,Z))),meet(X,join(Y,X))),join(meet(Y,X),meet(join(X,Y),meet(X,join(X,Z))))).
% 8292 [para:815.1.1,141.1.2.2,demod:1338,934,1807,815,17] equal(join(meet(join(X,Y),meet(X,Z)),meet(X,join(Y,X))),join(meet(Y,X),meet(join(X,Y),meet(X,join(X,Z))))).
% 8293 [para:141.1.1,54.1.1,demod:1807,17,1414,6308,5232,66,414,933,8087,1367,815,18] equal(meet(X,join(Y,meet(X,join(Z,X)))),meet(X,join(Y,join(X,Z)))).
% 8294 [para:933.1.1,141.1.2.2,demod:1338,934,6266,1410,933,1367,1807,17,815] equal(meet(X,join(X,meet(join(Y,X),Z))),join(meet(Y,X),meet(join(X,Y),meet(X,join(X,Z))))).
% 8351 [para:558.1.2,57.1.1.2,demod:1807,18,1414,6309,5640,8294,67,8292,17,815] equal(meet(X,join(X,meet(Y,join(Z,Y)))),meet(X,join(Y,join(X,Z)))).
% 8352 [para:558.1.2,60.1.1.2,demod:8294,8283,1347,17,6176,462,815] equal(meet(X,join(X,meet(join(Y,X),Z))),meet(join(X,Y),meet(X,join(X,Z)))).
% 8368 [para:558.1.2,129.1.1.1.1.2,demod:1953,1410,1807,8351,1414,826,259,1001,567,17,815,5706] equal(meet(X,join(Y,join(X,Z))),meet(X,join(X,meet(Y,join(Y,Z))))).
% 8369 [para:132.1.1,558.1.2.2,demod:7976,7874,8089,8368,5706,1410,1807,17,815] equal(meet(X,join(Y,join(meet(Y,Z),X))),meet(X,join(X,join(Y,Z)))).
% 8686 [para:142.1.2,23.1.1.1.1,demod:8260,1410,1807,17,815,8368,5706,8089] equal(join(meet(X,join(Y,join(X,Z))),meet(Y,meet(join(Z,Y),X))),meet(X,join(Y,join(X,meet(Z,Y))))).
% 8690 [para:142.1.1,53.1.1.1.2,demod:8089,43,18,7976,1003,8226,8293,1807,17,815] equal(meet(X,join(X,join(Y,Z))),meet(join(X,Y),meet(X,join(Z,join(X,Y))))).
% 8698 [para:142.1.1,854.1.2.2.2,demod:1887,1807,815,8233,17] equal(meet(X,join(meet(Y,X),Z)),meet(join(X,Y),meet(X,join(Z,meet(Y,X))))).
% 8702 [para:142.1.1,569.1.1.1.1,demod:1887,8087,1160,43,18,933,1807,17,815] equal(meet(join(X,meet(Y,join(Z,Y))),join(meet(Z,Y),X)),join(X,meet(Z,Y))).
% 8703 [para:60.1.1,142.1.1.2,demod:253,6309,815,4363,1351,1845,1414,933,1014,18] equal(join(X,meet(Y,Z)),join(meet(Z,Y),meet(join(X,Y),X))).
% 8714 [para:142.1.2,126.1.2.2.1,demod:8089,8260,1410,8368,5706,1807,17,815] equal(meet(X,join(Y,join(X,meet(Z,Y)))),join(meet(Y,meet(join(Z,Y),X)),meet(X,join(Y,join(X,Z))))).
% 9118 [para:23.1.1,143.1.1.2.1,demod:7976,7874,8089,1170,8686,1807,17,815,8368,5706,8087] equal(meet(X,join(Y,join(X,meet(Z,Y)))),meet(X,join(X,join(Y,Z)))).
% 9459 [para:53.1.1,144.1.1.1.1,demod:1780,17,63,215,8293,1414,14,815,67,934,6308,18] equal(meet(join(X,meet(join(Y,Z),Y)),Y),meet(Y,join(X,join(Y,Z)))).
% 9779 [para:145.1.2,823.1.1.2.1,demod:8698,8702,1807,17,815] equal(meet(X,join(meet(Y,X),Z)),meet(join(meet(Y,X),Z),meet(join(X,Y),X))).
% 9783 [para:145.1.1,528.1.1.2.2,demod:9118,8714,1001,8351,8089,6266,1410,1807,17,815] equal(join(X,meet(Y,join(Y,join(X,Z)))),join(Y,meet(X,join(Z,X)))).
% 9891 [para:143.1.1,148.1.2.2,demod:1406,3913,17,815] equal(join(meet(join(X,join(Y,Z)),Y),meet(join(Z,X),join(Y,U))),join(meet(join(Z,X),join(Y,U)),Y)).
% 9927 [para:56.1.2,611.1.2.2.2,demod:9783,820] equal(join(X,join(Y,meet(X,join(Y,Z)))),join(X,meet(Y,join(Z,Y)))).
% 9942 [para:141.1.2,611.1.2.2,demod:1003,8217,1807,815,17,8087] equal(join(X,meet(Y,join(Z,Y))),join(X,meet(Y,join(Y,meet(X,Z))))).
% 9944 [para:56.1.2,149.1.1.1,demod:56,1942,1414,17,6308,1014,946] equal(meet(join(X,Y),join(Z,meet(U,join(X,U)))),meet(join(U,Z),join(X,Y))).
% 10075 [para:820.1.1,632.1.2.2.2,demod:7349,7348,17] equal(join(X,join(meet(X,Y),Z)),join(Z,meet(X,join(X,meet(Y,Z))))).
% 10223 [para:153.1.2,127.1.1.1.1,demod:1845,8090,1785,866,8217,18,1367,552,8698,6889,1807,17,815] equal(meet(join(X,meet(Y,Z)),join(Z,join(meet(Z,Y),X))),join(X,meet(Y,Z))).
% 10242 [para:57.1.1,644.1.2.2.2,demod:9783,820] equal(join(meet(X,join(Y,Z)),join(X,Z)),join(X,meet(Z,join(Y,Z)))).
% 10397 [para:154.1.1,823.1.1.2.1,demod:8698,10223,6889,1807,17,815] equal(meet(X,join(meet(Y,X),Z)),meet(join(Z,meet(Y,X)),meet(join(X,Y),X))).
% 11176 [para:717.1.1,85.1.1.2,demod:17,87,8071,32,815] equal(join(X,meet(Y,Z)),join(X,meet(join(Y,X),meet(Y,Z)))).
% 11178 [para:717.1.1,302.1.1.2,demod:11176,17,3961,1367,32,815] equal(join(X,meet(Y,meet(join(X,Y),Z))),join(X,meet(Y,Z))).
% 11198 [para:18.1.1,786.1.2.1,demod:6308,1014,942] equal(meet(join(X,Y),meet(Z,U)),meet(join(Y,meet(join(X,Z),X)),meet(Z,U))).
% 11281 [para:176.1.2,60.1.1.1.2,demod:253,934,110,8293,1807,17,815] equal(meet(X,join(Y,join(Z,X))),meet(X,join(meet(X,Y),join(X,Z)))).
% 11356 [para:799.1.2,786.1.2.2,demod:5513,2658,17,815,338,8352,820] equal(meet(X,meet(Y,join(Z,Y))),meet(X,meet(Y,join(Z,join(X,Y))))).
% 11374 [para:379.1.2,819.1.2.2.1,demod:1038,11198,5513,2658,7112,338,18,937,17] equal(meet(join(X,Y),meet(X,join(Z,Y))),meet(join(Z,Y),X)).
% 11396 [para:40.1.2,826.1.2.2,demod:1240,1107,2000,17] equal(meet(join(meet(X,Y),meet(Y,Z)),X),meet(X,meet(Y,join(meet(X,Y),Z)))).
% 11399 [para:813.1.1,826.1.2.2.2,demod:7349,1003,1807,11281,17,934,815] equal(meet(X,join(Y,join(meet(Z,Y),X))),meet(X,join(X,meet(Y,Z)))).
% 11421 [para:826.1.2,176.1.2.2,demod:299,11281,934,6266,1410,937,1807,17,815,1299] equal(meet(X,join(X,meet(join(Y,X),meet(Z,U)))),meet(X,join(Y,join(meet(Z,U),X)))).
% 11426 [para:321.1.1,177.1.1.2,demod:209,6266,1410,898,1001,815,8352,1338,299,1807,11281,17,934] equal(meet(X,join(Y,join(Z,X))),meet(X,join(X,meet(join(Y,X),Z)))).
% 11439 [para:177.1.2,558.1.2.2,demod:2661,253,934,11426,6266,1410,898,9944,1807,17,815] equal(meet(X,meet(join(X,Y),join(Z,X))),meet(join(Z,join(Y,X)),meet(join(X,Y),X))).
% 11465 [para:44.1.1,834.1.2.2.1] equal(meet(X,meet(Y,join(Z,U))),meet(Y,meet(join(U,join(Y,Z)),meet(X,join(Z,U))))).
% 11490 [para:382.1.2,834.1.2.2.1,demod:11465,1807,17] equal(meet(X,meet(Y,join(Z,U))),meet(join(Y,Z),meet(X,meet(Y,join(Z,U))))).
% 11570 [para:379.1.2,180.1.1.1.1,demod:185,67,6308,1386,63,18,9891] equal(join(meet(join(X,Y),join(Z,X)),Z),join(X,meet(join(Z,Y),Z))).
% 11586 [para:382.1.2,853.1.2.2.2,demod:4908,1414,3697,8690,6308,1104,18,1807,17] equal(meet(join(X,Y),meet(join(Z,X),Z)),meet(Z,join(X,Y))).
% 11626 [para:860.1.2,866.1.2.2,demod:1307,11178,1869,17,1240,1299,1367,866] equal(meet(X,meet(Y,join(Z,meet(X,Y)))),meet(Y,meet(X,join(Z,X)))).
% 11627 [para:87.1.1,860.1.2.2,demod:11396,2000,1194] equal(meet(X,meet(Y,join(meet(X,Y),Z))),meet(X,join(meet(X,Y),meet(Y,Z)))).
% 11628 [para:860.1.2,126.1.2.1,demod:1208,11626,11178,1869,1240,1299,1367,84,8071,7474,818,17,866] equal(meet(X,meet(Y,join(Z,meet(Y,X)))),meet(X,meet(Y,join(Z,Y)))).
% 11630 [para:860.1.2,635.1.2.2.1,demod:1298,1367,8071,866] equal(join(X,join(Y,meet(Z,U))),join(meet(U,meet(Z,join(Y,Z))),join(Y,X))).
% 11631 [para:860.1.2,704.1.2.1.1.1,demod:11628,84,17,7474,8071,866] equal(join(X,meet(Y,Z)),join(meet(Z,meet(Y,join(X,Y))),X)).
% 11634 [para:864.1.2,518.1.1.2.2,demod:350,7349,1003,934,866] equal(join(X,meet(Y,Z)),join(meet(X,Z),join(X,meet(Y,Z)))).
% 11636 [para:864.1.2,815.1.1.1,demod:1812,11634,934,866] equal(join(meet(X,meet(Y,Z)),meet(join(Y,Z),Y)),meet(join(Y,meet(Z,X)),Y)).
% 11647 [para:864.1.2,124.1.1.2,demod:472,11634,934,1240,1141,817,1159,11628,17,8703,866] equal(meet(X,meet(Y,join(Z,Y))),meet(Y,meet(X,join(meet(Y,X),Z)))).
% 11652 [para:864.1.2,495.1.2.1.2,demod:980,1812,11634,934,866] equal(meet(join(X,meet(Y,Z)),X),join(meet(X,meet(Z,Y)),meet(join(X,Y),X))).
% 11890 [para:256.1.2,900.1.2.2.2,demod:4373,11626,63,11630,11628,17] equal(meet(join(X,meet(Y,Z)),meet(Z,Y)),meet(Y,meet(Z,join(X,Z)))).
% 11938 [para:912.1.2,92.1.1.2,demod:32,11439,11426,1003,11647,1240,958,1410,882,17,11586,933] equal(meet(X,meet(join(X,Y),join(Z,X))),meet(X,join(Z,join(Y,X)))).
% 11946 [para:442.1.2,912.1.2.2.1,demod:1899,11647,1240,933] equal(meet(join(X,Y),meet(Z,join(U,Z))),join(meet(join(X,Y),Z),meet(U,meet(Z,join(Y,X))))).
% 11962 [para:189.1.1,20.1.1.1,demod:1141,32,1949,815,1050,898,17,11890,11631,11647,1240] equal(meet(X,meet(Y,join(Y,meet(Z,X)))),meet(Y,meet(X,join(Z,X)))).
% 11995 [para:66.1.2,934.1.1.1.1,demod:6210,934] equal(join(meet(X,join(Y,Z)),join(X,U)),join(meet(X,join(Y,join(X,Z))),U)).
% 12006 [para:934.1.1,818.1.2.1,demod:17] equal(meet(join(X,Y),meet(X,Z)),meet(join(meet(X,Y),join(X,Z)),meet(join(X,Y),meet(X,Z)))).
% 12033 [para:379.1.2,934.1.1.1.1,demod:1387,934,11374,17,5513,2658] equal(join(meet(X,join(Y,join(Z,X))),U),join(meet(X,join(Y,Z)),join(X,U))).
% 12044 [para:934.1.1,495.1.2.1.1,demod:1003,8226,12006,17,11426,8352,1338,934] equal(meet(X,join(Y,join(Z,X))),meet(X,join(X,meet(Z,join(X,Y))))).
% 12059 [para:934.1.1,566.1.1.1.2,demod:11426,8352,1338,934,11356,56,12044,1003,17] equal(join(meet(X,meet(Y,join(Z,Y))),meet(join(Y,Z),Y)),meet(Y,join(Z,join(X,Y)))).
% 12102 [para:20.1.1,936.1.1.1.2,demod:11426,5744,6308,1014,18,933] equal(join(meet(X,Y),meet(join(Z,U),Z)),join(meet(X,Y),meet(Z,join(X,join(U,Z))))).
% 12118 [para:739.1.1,936.1.1.1.2,demod:938,934,1096,1001,1119,866,820] equal(meet(X,meet(join(X,Y),join(X,Z))),join(meet(X,Y),meet(X,join(X,Z)))).
% 12119 [para:740.1.1,936.1.1.1.2,demod:11938,40,11490,1299,17,12118,934,1096,1001,1119,815,820] equal(meet(X,meet(join(X,Y),join(X,Z))),meet(X,join(Y,join(Z,X)))).
% 12123 [para:85.1.1,936.1.1.1.2,demod:11426,5744,1014,18,6308,2980] equal(join(meet(X,Y),meet(join(Z,U),Z)),join(meet(Y,X),meet(Z,join(X,join(U,Z))))).
% 12130 [para:93.1.1,936.1.1.1.2,demod:11426,5744,6308,1014,18,933] equal(join(meet(join(X,Y),Z),meet(join(X,U),X)),join(meet(join(X,Y),Z),meet(X,join(Y,join(U,X))))).
% 12145 [para:936.1.1,449.1.2,demod:11647,1240,17] equal(join(meet(X,meet(join(Y,Z),meet(U,V))),meet(U,join(Z,Y))),meet(join(Y,Z),meet(U,join(meet(V,X),U)))).
% 12169 [para:228.1.2,937.1.1.1.2,demod:11631,1367,815,11647,1240,933] equal(meet(X,meet(Y,join(Z,Y))),meet(X,meet(Y,join(Y,meet(X,Z))))).
% 12234 [para:934.1.1,939.1.1.2.2,demod:11426,8352,1338,934,5706,11636,12130,1807,11281,17] equal(meet(X,join(X,meet(Y,join(Z,X)))),meet(X,join(Z,join(Y,X)))).
% 12246 [para:24.1.1,941.1.2.2,demod:11426,1003,11890,11631,11652,817,11647,1240,898,17] equal(meet(join(X,meet(Y,Z)),X),meet(X,join(Z,join(Y,X)))).
% 12259 [para:941.1.1,815.1.1,demod:11426,8352,1338,934,17] equal(join(X,join(meet(join(X,Y),meet(X,Z)),meet(X,Y))),meet(X,join(Y,join(Z,X)))).
% 12273 [para:941.1.1,740.1.1.1,demod:12123,12044,1003,934,32,11586,12259,17] equal(meet(X,join(Y,join(Z,X))),join(meet(Y,X),meet(join(X,Z),X))).
% 12393 [para:941.1.1,189.1.1.1.2,demod:10242,12033,11426,8352,1338,934,12059,11356,12259,17] equal(meet(X,join(Y,join(Z,X))),meet(join(X,meet(Z,join(Y,Z))),meet(join(X,Y),X))).
% 12539 [para:826.1.2,943.1.1.2,demod:12119,12118] equal(meet(X,join(Y,join(meet(Z,U),X))),join(meet(Z,meet(U,X)),meet(join(X,Y),X))).
% 12545 [para:943.1.2,937.1.1,demod:8352,1338,934,12246,12123,11421,1544,1299] equal(join(meet(X,Y),meet(Y,join(Z,join(U,Y)))),meet(Y,join(X,join(meet(U,Z),Y)))).
% 12598 [para:192.1.1,96.1.1.2,demod:9779,619,934,823,17,820] equal(meet(X,join(meet(Y,X),meet(Z,meet(X,U)))),join(meet(Y,X),meet(X,meet(U,Z)))).
% 12802 [para:937.1.1,947.1.2.2,demod:12246,12539] equal(meet(X,join(Y,join(meet(Z,U),X))),join(meet(X,Y),meet(X,join(U,join(Z,X))))).
% 12814 [para:23.1.1,948.1.1.2,demod:8369,12802,11426,934,11647,1240,1003,8217,1807,815,17] equal(meet(X,join(X,meet(Y,Z))),meet(X,join(X,join(Z,Y)))).
% 12843 [para:948.1.1,172.1.2,demod:1398,12814,820] equal(meet(X,join(X,meet(Y,Z))),meet(join(X,join(Z,Y)),X)).
% 12853 [para:948.1.2,191.1.2.2.1,demod:11946,11962,12814,3910,12273,12123,12234,5706,936,17,12393,10242,12033,11426,8352,1338,934] equal(meet(X,join(Y,join(Z,X))),meet(join(X,Y),meet(X,join(Z,X)))).
% 13004 [para:975.1.2,92.1.1.1.2,demod:975,37,17,820,6988,11647,11627,12598,1240] equal(meet(X,join(Y,meet(Z,join(Z,U)))),join(meet(X,join(Z,Y)),meet(U,meet(X,Z)))).
% 13052 [para:984.1.2,939.1.1.1,demod:12246,3953,11178] equal(meet(X,join(meet(Y,Z),X)),meet(X,join(Z,join(Y,X)))).
% 13056 [para:260.1.1,1001.1.1.1.2,demod:12033,13052] equal(join(meet(X,join(Y,Z)),join(X,U)),join(X,join(meet(X,meet(Y,Z)),U))).
% 13179 [para:1003.1.1,176.1.2.2,demod:12545,12246,12102,1807,11281,934,13052,12145,43,12853,815,17] equal(meet(join(X,Y),meet(X,join(Z,join(U,X)))),meet(X,join(Y,join(meet(U,Z),X)))).
% 13198 [para:57.1.1,1004.1.2.2,demod:11647,17] equal(join(meet(X,join(Y,Z)),meet(Z,meet(X,join(U,X)))),join(meet(X,meet(Z,U)),meet(X,join(Z,Y)))).
% 13957 [para:1058.1.1,644.1.2.2.2,demod:9927] equal(join(meet(join(X,Y),Z),join(X,Z)),join(Z,meet(X,join(Y,X)))).
% 14030 [para:1069.1.1,132.1.1,demod:11426,6266,898,18,8089,1410,43,12853,17,815] equal(join(X,join(meet(X,Y),meet(Z,U))),join(meet(Z,U),meet(X,join(Y,join(Z,X))))).
% 14041 [para:1069.1.1,142.1.1.2,demod:1003,8217,18,43,12853,815,17,8089] equal(join(meet(X,Y),meet(Z,join(U,Z))),join(meet(X,Y),meet(Z,join(Z,meet(X,U))))).
% 14153 [para:1108.1.1,53.1.1,demod:14041,12814,67,820,12246,815,1001,11399,13179,11281,17,934] equal(join(meet(X,Y),meet(Y,join(Z,Y))),meet(Y,join(Y,meet(X,Z)))).
% 14603 [para:1116.1.2,28.1.1.1.1,demod:9944,1414,6308,17,18,1408,4245,13056,11995,9459] equal(join(X,meet(Y,join(X,Z))),meet(join(Z,X),join(Y,X))).
% 14646 [para:1116.1.2,111.1.2,demod:1406,14603] equal(meet(join(X,Y),join(Z,Y)),join(meet(Z,join(Y,X)),Y)).
% 14806 [para:756.1.2,1153.1.1.1,demod:17,1229,13198,12169,12814,820] equal(meet(X,join(Y,Z)),meet(X,meet(join(X,meet(Y,Z)),join(Y,Z)))).
% 14850 [para:1153.1.1,941.1.2.2,demod:14603,8175] equal(join(X,meet(Y,join(Z,X))),meet(join(Z,X),join(Y,X))).
% 14926 [para:1170.1.1,644.1.2.2.2,demod:6988,18,14603] equal(join(meet(join(X,Y),Z),join(Y,Z)),join(Z,meet(join(Y,X),Y))).
% 15112 [para:94.1.1,1227.1.2.2,demod:14850,2114,462,2883] equal(join(X,meet(join(Y,X),Z)),meet(join(Y,X),join(Z,X))).
% 15214 [para:1429.1.1,15.1.1] equal(meet(join(X,Y),Z),meet(join(meet(join(X,Y),Z),X),Z)).
% 15229 [para:1429.1.1,518.1.1.2.2,demod:9942,12814,820,8076,10075,18,12843,866] equal(join(X,meet(Y,join(Z,Y))),join(Y,join(meet(join(X,Z),Y),X))).
% 15232 [para:1429.1.1,866.1.2.2,demod:63,13957,18] equal(meet(join(X,meet(Y,join(Z,Y))),join(meet(join(Y,Z),X),Y)),join(meet(join(Y,Z),X),Y)).
% 15241 [para:1429.1.1,126.1.2.1,demod:15232,13957,18,15229,43,15214] equal(meet(join(meet(join(X,Y),Z),X),join(X,meet(Z,join(Y,Z)))),join(meet(join(X,Y),Z),X)).
% 15242 [para:1429.1.1,127.1.1.2,demod:15241,43,15214,14603,14806,41,17,12814,7976,14153,11570,15229] equal(meet(join(X,Y),join(Z,Y)),join(meet(join(Y,X),Z),Y)).
% 15402 [para:55.1.1,1789.1.2.1,demod:32,12246,937,11626,17] equal(join(meet(X,join(Y,Z)),meet(Y,meet(X,U))),meet(join(Y,Z),meet(X,join(Y,join(U,X))))).
% 15670 [para:1806.1.2,26.1.1.1.2,demod:908,63,815,84,9944,1414,14926,18,14603,6897,14030,12246] equal(meet(join(X,Y),join(Z,Y)),join(Y,meet(X,Z))).
% 15674 [para:59.1.1,1806.1.2.2,demod:14,37,17,820,14646] equal(meet(join(X,meet(Y,Z)),meet(Y,join(Y,Z))),meet(Y,join(meet(Y,Z),X))).
% 15725 [para:1058.1.1,1806.1.2.2,demod:88,15670,15242,957,17,1058] equal(meet(X,join(Y,Z)),meet(join(Y,meet(Z,X)),X)).
% 15731 [para:16.1.1,15670.1.1.1] equal(meet(join(X,Y),join(Z,X)),join(X,meet(Y,Z))).
% 15772 [para:820.1.1,15670.1.1.2,demod:15674] equal(meet(X,join(meet(X,Y),Z)),join(meet(X,Y),meet(Z,X))).
% 15778 [para:866.1.2,15670.1.1.2,demod:10397] equal(meet(X,join(meet(Y,X),Z)),join(meet(Y,X),meet(Z,X))).
% 15864 [para:299.1.1,15670.1.1.1,demod:15402,11626,17] equal(meet(join(X,Y),meet(Z,join(U,Z))),meet(join(X,Y),meet(Z,join(X,join(U,Z))))).
% 15890 [para:383.1.1,15670.1.1.2,demod:15772,818] equal(meet(join(X,meet(Y,Z)),meet(join(Y,Z),Y)),meet(Y,join(meet(Y,Z),X))).
% 15893 [para:15670.1.1,433.1.1.2] equal(meet(X,join(Y,meet(Z,U))),meet(join(U,Y),meet(X,join(Y,Z)))).
% 16031 [para:15725.1.2,15.1.1] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(Z,X)))).
% 16052 [para:25.1.2,15725.1.2.1.2,demod:15890,817,15778,37,16031,15893,4908,1414,17,933,818,815] equal(meet(X,join(Y,Z)),meet(X,join(meet(X,Y),Z))).
% 16053 [para:15725.1.2,27.1.1.1,demod:12246,15112,937,13,15670,14850,13004,17,16052] equal(meet(X,join(Y,Z)),meet(X,meet(join(Y,join(Z,X)),join(meet(Y,X),Z)))).
% 16060 [para:15725.1.2,424.1.2] equal(meet(X,join(meet(Y,X),Z)),meet(X,join(Z,Y))).
% 16063 [para:15725.1.2,36.1.1.1,demod:16053,17,12246,15670,15112,937,15893,15864,15402,16060] equal(meet(X,join(Y,meet(X,Z))),meet(X,join(Z,Y))).
% 16156 [para:24.1.1,15731.1.1.1,demod:16031,15893,16063,818,17,815,619,934,slowcut:923] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using unit paramodulation strategy
% using unit 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 5
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 571
% derived clauses: 714172
% kept clauses: 16132
% kept size sum: 362778
% kept mid-nuclei: 0
% kept new demods: 8643
% forw unit-subs: 409718
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 39.44
% process. runtime: 38.83
% 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/LAT020-1+eq_r.in")
%
%------------------------------------------------------------------------------