TSTP Solution File: LAT209-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT209-1 : 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 : 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 59.7s
% Output : Assurance 59.7s
% 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/LAT209-1+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 8 5)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 8 5)
% (binary-posweight-lex-big-order 30 #f 8 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(14,40,0,28,0,0,44913,4,2254,45160,5,3001,45161,1,3004,45161,50,3007,45161,40,3007,45175,0,3007,56970,3,3610,58855,4,3908,60114,5,4208,60117,5,4208,60117,1,4208,60117,50,4209,60117,40,4209,60131,0,4209,83718,3,4810,91871,4,5112,97513,5,5410,97514,1,5410,97514,50,5412,97514,40,5412,97528,0,5412)
%
%
% START OF PROOF
% 97515 [] equal(X,X).
% 97516 [] equal(meet(X,X),X).
% 97518 [] equal(meet(X,join(X,Y)),X).
% 97519 [] equal(join(X,meet(X,Y)),X).
% 97520 [] equal(meet(X,Y),meet(Y,X)).
% 97521 [] equal(join(X,Y),join(Y,X)).
% 97522 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 97523 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 97524 [] equal(join(X,complement(X)),one).
% 97525 [] equal(meet(X,complement(X)),zero).
% 97526 [] -equal(join(X,Y),one) | -equal(meet(X,Y),zero) | equal(complement(X),Y).
% 97527 [] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(X,join(Z,meet(X,join(Y,meet(X,Z)))))))).
% 97528 [] -equal(meet(a,join(b,c)),join(meet(a,b),meet(a,c))).
% 97529 [para:97524.1.1,97518.1.1.2] equal(meet(X,one),X).
% 97530 [para:97525.1.1,97519.1.1.2] equal(join(X,zero),X).
% 97531 [para:97520.1.1,97525.1.1] equal(meet(complement(X),X),zero).
% 97534 [para:97520.1.1,97528.1.2.2] -equal(meet(a,join(b,c)),join(meet(a,b),meet(c,a))).
% 97535 [para:97520.1.1,97518.1.1] equal(meet(join(X,Y),X),X).
% 97536 [para:97520.1.1,97529.1.1] equal(meet(one,X),X).
% 97537 [para:97520.1.1,97519.1.1.2] equal(join(X,meet(Y,X)),X).
% 97538 [para:97521.1.1,97524.1.1] equal(join(complement(X),X),one).
% 97541 [para:97521.1.1,97518.1.1.2] equal(meet(X,join(Y,X)),X).
% 97542 [para:97521.1.1,97519.1.1] equal(join(meet(X,Y),X),X).
% 97543 [para:97521.1.1,97530.1.1] equal(join(zero,X),X).
% 97545 [para:97536.1.1,97518.1.1] equal(join(one,X),one).
% 97546 [para:97543.1.1,97524.1.1] equal(complement(zero),one).
% 97547 [para:97543.1.1,97518.1.1.2] equal(meet(zero,X),zero).
% 97549 [para:97522.1.1,97516.1.1] equal(meet(X,meet(Y,meet(X,Y))),meet(X,Y)).
% 97550 [para:97516.1.1,97522.1.1.1] equal(meet(X,Y),meet(X,meet(X,Y))).
% 97551 [para:97522.1.1,97525.1.1] equal(meet(X,meet(Y,complement(meet(X,Y)))),zero).
% 97553 [para:97522.1.1,97518.1.1] equal(meet(X,meet(Y,join(meet(X,Y),Z))),meet(X,Y)).
% 97554 [para:97518.1.1,97522.1.1.1] equal(meet(X,Y),meet(X,meet(join(X,Z),Y))).
% 97555 [para:97522.1.1,97519.1.1.2] equal(join(meet(X,Y),meet(X,meet(Y,Z))),meet(X,Y)).
% 97556 [para:97522.1.1,97520.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 97564 [para:97531.1.1,97522.1.1.1,demod:97547] equal(zero,meet(complement(X),meet(X,Y))).
% 97567 [para:97523.1.1,97524.1.1] equal(join(X,join(Y,complement(join(X,Y)))),one).
% 97568 [para:97524.1.1,97523.1.1.1,demod:97545] equal(one,join(X,join(complement(X),Y))).
% 97571 [para:97519.1.1,97523.1.1.1] equal(join(X,Y),join(X,join(meet(X,Z),Y))).
% 97572 [para:97523.1.1,97521.1.1] equal(join(X,join(Y,Z)),join(Z,join(X,Y))).
% 97574 [para:97521.1.1,97523.1.1.1,demod:97523] equal(join(X,join(Y,Z)),join(Y,join(X,Z))).
% 97576 [para:97535.1.1,97519.1.1.2,demod:97523] equal(join(X,join(Y,X)),join(X,Y)).
% 97577 [para:97521.1.1,97535.1.1.1] equal(meet(join(X,Y),Y),Y).
% 97580 [para:97537.1.1,97521.1.1] equal(X,join(meet(Y,X),X)).
% 97581 [para:97522.1.1,97537.1.1.2] equal(join(X,meet(Y,meet(Z,X))),X).
% 97582 [para:97537.1.1,97523.1.1] equal(join(X,Y),join(X,join(Y,meet(Z,join(X,Y))))).
% 97583 [para:97537.1.1,97523.1.1.1] equal(join(X,Y),join(X,join(meet(Z,X),Y))).
% 97584 [para:97519.1.1,97541.1.1.2,demod:97522] equal(meet(X,meet(Y,X)),meet(X,Y)).
% 97586 [para:97541.1.1,97522.1.1.1] equal(meet(X,Y),meet(X,meet(join(Z,X),Y))).
% 97587 [para:97523.1.1,97541.1.1.2] equal(meet(X,join(Y,join(Z,X))),X).
% 97600 [para:97538.1.1,97526.1.1,demod:97531,cut:97515,cut:97515] equal(complement(complement(X)),X).
% 97608 [para:97525.1.1,97527.1.2.2.2.2.2.2.2,demod:97530] equal(meet(X,join(Y,complement(X))),meet(X,join(Y,meet(X,join(complement(X),meet(X,Y)))))).
% 97611 [para:97520.1.1,97527.1.2.2.2] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(join(Z,meet(X,join(Y,meet(X,Z)))),X)))).
% 97614 [para:97521.1.1,97527.1.2.2] equal(meet(X,join(Y,Z)),meet(X,join(meet(X,join(Z,meet(X,join(Y,meet(X,Z))))),Y))).
% 97615 [para:97521.1.1,97527.1.2.2.2.2] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(X,join(meet(X,join(Y,meet(X,Z))),Z))))).
% 97616 [para:97521.1.1,97527.1.2.2.2.2.2.2] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(X,join(Z,meet(X,join(meet(X,Z),Y))))))).
% 97617 [para:97531.1.1,97527.1.2.2.2.2.2.2.2,demod:97530] equal(meet(complement(X),join(Y,X)),meet(complement(X),join(Y,meet(complement(X),join(X,meet(complement(X),Y)))))).
% 97619 [para:97535.1.1,97527.1.2.2.2.2.2.2.2] equal(meet(join(X,Y),join(Z,X)),meet(join(X,Y),join(Z,meet(join(X,Y),join(X,meet(join(X,Y),join(Z,X))))))).
% 97624 [para:97577.1.1,97527.1.2.2.2.2.2.2.2] equal(meet(join(X,Y),join(Z,Y)),meet(join(X,Y),join(Z,meet(join(X,Y),join(Y,meet(join(X,Y),join(Z,Y))))))).
% 97631 [para:97521.1.1,97534.1.2] -equal(meet(a,join(b,c)),join(meet(c,a),meet(a,b))).
% 97639 [para:97535.1.1,97564.1.2.2] equal(zero,meet(complement(join(X,Y)),X)).
% 97641 [para:97577.1.1,97564.1.2.2] equal(zero,meet(complement(join(X,Y)),Y)).
% 97642 [para:97568.1.2,97521.1.1,demod:97523] equal(one,join(complement(X),join(Y,X))).
% 97643 [para:97521.1.1,97568.1.2.2] equal(one,join(X,join(Y,complement(X)))).
% 97652 [para:97549.1.1,97537.1.1.2,demod:97584] equal(join(meet(X,Y),meet(Y,X)),meet(X,Y)).
% 97662 [para:97639.1.2,97520.1.1] equal(zero,meet(X,complement(join(X,Y)))).
% 97666 [para:97641.1.2,97520.1.1] equal(zero,meet(X,complement(join(Y,X)))).
% 97672 [para:97642.1.2,97526.1.1,demod:97600,cut:97515] -equal(meet(complement(X),join(Y,X)),zero) | equal(X,join(Y,X)).
% 97680 [para:97643.1.2,97526.1.1,cut:97515] -equal(meet(X,join(Y,complement(X))),zero) | equal(complement(X),join(Y,complement(X))).
% 97692 [para:97662.1.2,97522.1.1] equal(zero,meet(X,meet(Y,complement(join(meet(X,Y),Z))))).
% 97696 [para:97551.1.1,97520.1.1,demod:97522] equal(zero,meet(X,meet(complement(meet(Y,X)),Y))).
% 97697 [para:97520.1.1,97551.1.1.2] equal(meet(X,meet(complement(meet(X,Y)),Y)),zero).
% 97698 [para:97520.1.1,97551.1.1.2.2.1] equal(meet(X,meet(Y,complement(meet(Y,X)))),zero).
% 97721 [para:97520.1.1,97553.1.1.2.2.1] equal(meet(X,meet(Y,join(meet(Y,X),Z))),meet(X,Y)).
% 97724 [para:97553.1.1,97537.1.1.2] equal(join(meet(X,join(meet(Y,X),Z)),meet(Y,X)),meet(X,join(meet(Y,X),Z))).
% 97733 [para:97576.1.1,97541.1.1.2] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 97738 [para:97518.1.1,97581.1.1.2.2,demod:97523] equal(join(X,join(Y,meet(Z,X))),join(X,Y)).
% 97739 [para:97520.1.1,97581.1.1.2,demod:97522] equal(join(X,meet(Y,meet(X,Z))),X).
% 97751 [para:97519.1.1,97587.1.1.2.2,demod:97522] equal(meet(X,meet(Y,join(Z,X))),meet(X,Y)).
% 97762 [para:97554.1.2,97520.1.1,demod:97522] equal(meet(X,Y),meet(join(X,Z),meet(Y,X))).
% 97800 [para:97554.1.2,97739.1.1.2,demod:97523] equal(join(X,join(Y,meet(X,Z))),join(X,Y)).
% 97811 [para:97555.1.1,97523.1.1.1] equal(join(meet(X,Y),Z),join(meet(X,Y),join(meet(X,meet(Y,U)),Z))).
% 97870 [para:97567.1.1,97521.1.1,demod:97523] equal(one,join(X,join(complement(join(Y,X)),Y))).
% 98122 [para:97521.1.1,97572.1.2.2] equal(join(X,join(Y,Z)),join(Z,join(Y,X))).
% 98215 [para:97574.1.1,97580.1.2] equal(join(X,Y),join(X,join(meet(Z,join(X,Y)),Y))).
% 98410 [para:97582.1.2,97577.1.1.1] equal(meet(join(X,Y),join(Y,meet(Z,join(X,Y)))),join(Y,meet(Z,join(X,Y)))).
% 98450 [para:97652.1.1,97572.1.1.2] equal(join(X,meet(Y,Z)),join(meet(Z,Y),join(X,meet(Y,Z)))).
% 98456 [para:97733.1.1,97556.1.1.2] equal(meet(X,join(Y,Z)),meet(join(Z,Y),meet(X,join(Y,Z)))).
% 98504 [para:97549.1.1,97738.1.1.2.2,demod:98450,97584] equal(join(X,meet(Y,Z)),join(meet(Z,Y),X)).
% 98621 [para:97576.1.1,97751.1.1.2.2,demod:98456] equal(meet(X,join(Y,Z)),meet(join(Z,Y),X)).
% 99290 [para:97662.1.2,97608.1.2.2.2.2.2,demod:97662,97525,97530,binarydemod:97680] equal(complement(X),join(complement(join(X,Y)),complement(X))).
% 99292 [para:97551.1.1,97608.1.2.2.2.2.2,demod:97551,97525,97530,binarydemod:97680] equal(complement(X),join(meet(Y,complement(meet(X,Y))),complement(X))).
% 99294 [para:97666.1.2,97608.1.2.2.2.2.2,demod:97666,97525,97530,binarydemod:97680] equal(complement(X),join(complement(join(Y,X)),complement(X))).
% 99313 [para:97696.1.2,97608.1.2.2.2.2.2,demod:97696,97525,97530,binarydemod:97680] equal(complement(X),join(meet(complement(meet(Y,X)),Y),complement(X))).
% 99360 [para:99290.1.2,97518.1.1.2] equal(meet(complement(join(X,Y)),complement(X)),complement(join(X,Y))).
% 99368 [para:97600.1.1,99290.1.2.2,demod:97600] equal(X,join(complement(join(complement(X),Y)),X)).
% 99400 [para:97521.1.1,99368.1.2.1.1] equal(X,join(complement(join(Y,complement(X))),X)).
% 99478 [para:99400.1.2,98122.1.1.2] equal(join(X,Y),join(Y,join(complement(join(Z,complement(Y))),X))).
% 99622 [para:99294.1.2,97535.1.1.1] equal(meet(complement(X),complement(join(Y,X))),complement(join(Y,X))).
% 100676 [para:97551.1.1,97617.1.2.2.2.2.2,demod:97551,97531,97530,binarydemod:97672] equal(X,join(meet(Y,complement(meet(complement(X),Y))),X)).
% 100692 [para:97696.1.2,97617.1.2.2.2.2.2,demod:97696,97531,97530,binarydemod:97672] equal(X,join(meet(complement(meet(Y,complement(X))),Y),X)).
% 100697 [para:97698.1.1,97617.1.2.2.2.2.2,demod:97698,97531,97530,binarydemod:97672] equal(X,join(meet(Y,complement(meet(Y,complement(X)))),X)).
% 100851 [para:100676.1.2,98504.1.2] equal(join(X,meet(complement(meet(complement(X),Y)),Y)),X).
% 101708 [para:97542.1.1,99360.1.1.1.1,demod:97542] equal(meet(complement(X),complement(meet(X,Y))),complement(X)).
% 101709 [para:97580.1.2,99360.1.1.1.1,demod:97580] equal(meet(complement(X),complement(meet(Y,X))),complement(X)).
% 101739 [para:99292.1.2,99360.1.1.1.1,demod:99292,97600] equal(meet(X,complement(meet(Y,complement(meet(X,Y))))),X).
% 101741 [para:99313.1.2,99360.1.1.1.1,demod:99313,97600] equal(meet(X,complement(meet(complement(meet(Y,X)),Y))),X).
% 101812 [para:101708.1.1,97520.1.1] equal(complement(X),meet(complement(meet(X,Y)),complement(X))).
% 101814 [para:97600.1.1,101708.1.1.1,demod:97600] equal(meet(X,complement(meet(complement(X),Y))),X).
% 101816 [para:101708.1.1,97556.1.1.2] equal(meet(X,complement(Y)),meet(complement(meet(Y,Z)),meet(X,complement(Y)))).
% 101838 [para:101814.1.1,97520.1.1] equal(X,meet(complement(meet(complement(X),Y)),X)).
% 101839 [para:97520.1.1,101814.1.1.2.1] equal(meet(X,complement(meet(Y,complement(X)))),X).
% 101842 [para:101814.1.1,97537.1.1.2] equal(join(complement(meet(complement(X),Y)),X),complement(meet(complement(X),Y))).
% 101868 [para:97520.1.1,101838.1.2.1.1] equal(X,meet(complement(meet(Y,complement(X))),X)).
% 101882 [para:101839.1.1,97537.1.1.2] equal(join(complement(meet(X,complement(Y))),Y),complement(meet(X,complement(Y)))).
% 101929 [para:97600.1.1,101868.1.2.1.1.2] equal(complement(X),meet(complement(meet(Y,X)),complement(X))).
% 102065 [para:101709.1.1,97556.1.1.2] equal(meet(X,complement(Y)),meet(complement(meet(Z,Y)),meet(X,complement(Y)))).
% 102239 [para:101739.1.1,101839.1.1.2.1,demod:101812,97522] equal(meet(X,complement(Y)),meet(X,complement(meet(Y,X)))).
% 102319 [para:97696.1.2,101741.1.1.2.1.1.1,demod:102065,97522,97536,97546] equal(meet(X,complement(Y)),meet(complement(meet(X,Y)),X)).
% 102320 [para:97697.1.1,101741.1.1.2.1.1.1,demod:101816,97522,97536,97546] equal(meet(X,complement(Y)),meet(complement(meet(Y,X)),X)).
% 102321 [para:97698.1.1,101741.1.1.2.1.1.1,demod:101929,97522,97536,97546] equal(meet(X,complement(Y)),meet(X,complement(meet(X,Y)))).
% 102943 [para:97556.1.1,102239.1.2.2.1,demod:102321,97522] equal(meet(X,meet(Y,complement(Z))),meet(X,meet(Y,complement(meet(Z,X))))).
% 104794 [para:99622.1.1,97692.1.2.2] equal(zero,meet(X,complement(join(meet(X,complement(Y)),Y)))).
% 104826 [para:104794.1.2,100692.1.2.1.1.1,demod:97571,97536,97546] equal(join(meet(X,complement(Y)),Y),join(X,Y)).
% 104849 [para:97520.1.1,104826.1.1.1] equal(join(meet(complement(X),Y),X),join(Y,X)).
% 104850 [para:104826.1.1,97521.1.1] equal(join(X,Y),join(Y,meet(X,complement(Y)))).
% 104883 [para:102319.1.2,104826.1.1.1,demod:101842,104849] equal(join(complement(X),Y),complement(meet(complement(Y),X))).
% 104884 [para:102320.1.2,104826.1.1.1,demod:101882,104849] equal(join(complement(X),Y),complement(meet(X,complement(Y)))).
% 104889 [para:104849.1.1,97523.1.1.1,demod:97523] equal(join(X,join(Y,Z)),join(meet(complement(Y),X),join(Y,Z))).
% 104893 [para:97551.1.1,104849.1.1.1,demod:104883,97543] equal(X,join(meet(Y,join(complement(Y),X)),X)).
% 104898 [para:97696.1.2,104849.1.1.1,demod:104884,97543] equal(X,join(meet(join(complement(Y),X),Y),X)).
% 104904 [para:104849.1.1,97574.1.1.2] equal(join(X,join(Y,Z)),join(meet(complement(Z),Y),join(X,Z))).
% 104944 [para:102239.1.2,104850.1.2.2,demod:97537] equal(X,join(meet(Y,X),meet(X,complement(Y)))).
% 105019 [para:104883.1.2,97600.1.1.1] equal(complement(join(complement(X),Y)),meet(complement(Y),X)).
% 105068 [para:104883.1.2,100692.1.2.1.1,demod:97600] equal(X,join(meet(join(X,Y),complement(Y)),X)).
% 105069 [para:104883.1.2,100697.1.2.1.2,demod:97600] equal(X,join(meet(complement(Y),join(X,Y)),X)).
% 105071 [para:104883.1.2,100851.1.1.2.1] equal(join(X,meet(join(complement(Y),X),Y)),X).
% 105262 [para:97870.1.2,104893.1.2.1.2,demod:99478,97529] equal(join(complement(join(X,complement(Y))),X),join(X,Y)).
% 105274 [para:97600.1.1,104898.1.2.1.1.1] equal(X,join(meet(join(Y,X),complement(Y)),X)).
% 105645 [para:97521.1.1,105019.1.1.1] equal(complement(join(X,complement(Y))),meet(complement(X),Y)).
% 105675 [para:105019.1.1,104849.1.1.1.1,demod:104904,97522] equal(join(complement(X),join(meet(X,Y),Z)),join(Y,join(complement(X),Z))).
% 105683 [para:105068.1.2,97518.1.1.2,demod:97762,97522] equal(meet(X,complement(Y)),meet(join(X,Y),complement(Y))).
% 105736 [para:104850.1.2,105069.1.2.1.2,demod:104884] equal(X,join(meet(join(complement(Y),X),join(Y,X)),X)).
% 105771 [para:105071.1.1,97611.1.2.2.2.1.2.2,demod:98410,97577] equal(meet(join(complement(X),Y),join(Y,X)),join(Y,meet(join(X,Y),join(complement(X),Y)))).
% 105772 [para:105071.1.1,97614.1.2.2.1.2.2.2,demod:105736,97577] equal(meet(join(complement(X),Y),join(Y,X)),Y).
% 105976 [para:105274.1.2,97616.1.2.2.2.2.2.2,demod:105772,105771,97577] equal(meet(join(X,Y),join(Y,complement(X))),Y).
% 106086 [para:105645.1.1,104849.1.1.1.1,demod:104889,97522] equal(join(meet(X,Y),join(Z,complement(X))),join(Y,join(Z,complement(X)))).
% 106202 [para:105772.1.1,98621.1.1] equal(X,meet(join(Y,X),join(complement(Y),X))).
% 106262 [para:97571.1.2,105976.1.1.1,demod:106086,97523] equal(meet(join(X,Y),join(Z,join(Y,complement(X)))),join(meet(X,Z),Y)).
% 106276 [para:105976.1.1,97615.1.2.2.2.2.1.2.2,demod:98215,97554,106262] equal(join(meet(X,Y),Z),meet(join(X,Z),join(Y,Z))).
% 106410 [para:97571.1.2,106202.1.2.1,demod:105675] equal(join(meet(X,Y),Z),meet(join(X,Z),join(Y,join(complement(X),Z)))).
% 106417 [para:97800.1.1,106202.1.2.1] equal(join(X,meet(Y,Z)),meet(join(Y,X),join(complement(Y),join(X,meet(Y,Z))))).
% 106419 [para:106202.1.2,97614.1.2.2.1.2.2.2.2,demod:97580,106417,97576,97523,106276,106410] equal(join(meet(X,Y),Z),meet(join(X,Z),join(Z,Y))).
% 106582 [para:105262.1.1,97624.1.2.1,demod:97583,97550,106419,97576,106276,104849,105645] equal(join(meet(X,Y),Z),meet(join(Z,X),join(Y,Z))).
% 106658 [para:98504.1.1,105683.1.2.1] equal(meet(X,complement(meet(Y,Z))),meet(join(meet(Z,Y),X),complement(meet(Y,Z)))).
% 107164 [para:97721.1.1,97537.1.1.2] equal(join(meet(X,join(meet(X,Y),Z)),meet(Y,X)),meet(X,join(meet(X,Y),Z))).
% 107200 [para:97619.1.2,97721.1.1.2,demod:97586,106582] equal(meet(X,join(meet(Y,X),Z)),meet(X,join(Z,Y))).
% 107206 [para:97721.1.1,102239.1.2.2.1,demod:102943,106658,97522] equal(meet(X,meet(join(meet(X,Y),Z),complement(Y))),meet(X,meet(Z,complement(Y)))).
% 107229 [para:97721.1.1,104944.1.2.1,demod:107206,97522] equal(meet(X,join(meet(X,Y),Z)),join(meet(Y,X),meet(X,meet(Z,complement(Y))))).
% 107662 [para:97520.1.1,97724.1.1.1.2.1,demod:107200,107164] equal(meet(X,join(meet(X,Y),Z)),meet(X,join(Z,Y))).
% 115737 [para:104944.1.2,97811.1.2.2,demod:107662,107229,97522,slowcut:97631] 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 8
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 3222
% derived clauses: 1793237
% kept clauses: 106087
% kept size sum: 364647
% kept mid-nuclei: 2857
% kept new demods: 91640
% forw unit-subs: 1594608
% forw double-subs: 37224
% forw overdouble-subs: 3663
% backward subs: 38
% fast unit cutoff: 2570
% full unit cutoff: 11
% dbl unit cutoff: 136
% real runtime : 66.51
% process. runtime: 65.74
% specific non-discr-tree subsumption statistics:
% tried: 10876
% length fails: 665
% strength fails: 0
% predlist fails: 2620
% aux str. fails: 1076
% by-lit fails: 0
% full subs tried: 6210
% full subs fail: 2550
%
% ; 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/LAT209-1+eq_r.in")
%
%------------------------------------------------------------------------------