TSTP Solution File: LAT087-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT087-1 : TPTP v3.4.2. Released v2.6.0.
% 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 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/LAT087-1+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 12 1)
% (binary-posweight-lex-big-order 30 #f 12 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(3,40,0,6,0,0,7,50,5,10,0,5,11,50,9,14,0,9)
%
%
% START OF PROOF
% 13 [] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 14 [] -equal(join(a,meet(a,b)),a).
% 15 [para:13.1.1,13.1.1.2.1.2.1] equal(join(meet(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U),meet(join(meet(X,join(join(meet(V,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),W)),join(meet(Y,Z),meet(Z,join(Y,Z))))),meet(Z,join(X,join(join(meet(V,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),W)),join(meet(Y,Z),meet(Z,join(Y,Z))))))),join(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U))),join(meet(Y,Z),meet(Z,join(Y,Z)))).
% 16 [para:13.1.1,15.1.1.1.1.1.2,demod:13] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(W,join(join(meet(X1,Y),meet(Y,X2)),Y)),meet(join(meet(Y,meet(meet(join(X1,join(Y,X2)),join(X3,Y)),Y)),meet(X4,join(Y,meet(meet(join(X1,join(Y,X2)),join(X3,Y)),Y)))),join(W,join(join(meet(X1,Y),meet(Y,X2)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 18 [para:13.1.1,16.1.1.2.1] equal(join(meet(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z),meet(Y,join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z))),Y).
% 19 [para:18.1.1,13.1.1.1.1,demod:18] equal(join(meet(X,Y),meet(join(meet(join(meet(join(meet(Z,X),meet(X,join(Z,X))),X),meet(X,join(join(meet(Z,X),meet(X,join(Z,X))),X))),join(join(meet(U,X),meet(X,V)),X)),meet(join(meet(X,meet(meet(join(U,join(X,V)),join(W,X)),X)),meet(X1,join(X,meet(meet(join(U,join(X,V)),join(W,X)),X)))),join(join(meet(join(meet(Z,X),meet(X,join(Z,X))),X),meet(X,join(join(meet(Z,X),meet(X,join(Z,X))),X))),join(join(meet(U,X),meet(X,V)),X)))),join(X,Y))),X).
% 20 [para:18.1.1,15.1.1.1.1.1.2,demod:18] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(Y,join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 21 [para:18.1.1,15.1.1.2.1] equal(join(meet(join(meet(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),join(meet(Z,Y),meet(Y,join(Z,Y)))),meet(join(meet(Z,Y),meet(Y,join(Z,Y))),join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),join(meet(Z,Y),meet(Y,join(Z,Y)))))),U),meet(Y,join(join(meet(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),join(meet(Z,Y),meet(Y,join(Z,Y)))),meet(join(meet(Z,Y),meet(Y,join(Z,Y))),join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),join(meet(Z,Y),meet(Y,join(Z,Y)))))),U))),join(meet(Z,Y),meet(Y,join(Z,Y)))).
% 25 [para:18.1.1,16.1.1.2.1.2.1] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(W,join(Y,X1)),join(X2,Y)),Y)),meet(X3,join(Y,meet(meet(join(W,join(Y,X1)),join(X2,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 29 [para:18.1.1,18.1.1.1.1,demod:18] equal(join(meet(X,Y),meet(X,join(X,Y))),X).
% 32 [para:29.1.1,13.1.1.2.1] equal(join(meet(join(meet(join(meet(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)),meet(V,join(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)))),X),meet(X,join(join(meet(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)),meet(V,join(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)))),X))),W),meet(join(meet(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)),meet(V,join(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)))),join(join(meet(join(meet(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)),meet(V,join(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)))),X),meet(X,join(join(meet(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)),meet(V,join(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)))),X))),W))),X).
% 33 [para:29.1.1,13.1.1.2.1.1.2.1,demod:29] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(Y,Y)),meet(join(meet(Y,meet(meet(join(Y,join(Y,join(Y,Y))),join(U,Y)),Y)),meet(V,join(Y,meet(meet(join(Y,join(Y,join(Y,Y))),join(U,Y)),Y)))),join(X,join(Y,Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 61 [para:13.1.1,20.1.1.1.1,demod:29,25] equal(X,join(meet(Y,join(join(meet(Z,X),meet(X,U)),X)),meet(join(meet(X,meet(meet(join(Z,join(X,U)),join(V,X)),X)),meet(W,join(X,meet(meet(join(Z,join(X,U)),join(V,X)),X)))),join(Y,join(join(meet(Z,X),meet(X,U)),X))))).
% 67 [para:15.1.1,20.1.1.1.1,demod:29,15] equal(join(meet(X,Y),meet(Y,join(X,Y))),join(meet(Z,join(join(meet(U,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),V)),join(meet(X,Y),meet(Y,join(X,Y))))),meet(Y,join(Z,join(join(meet(U,join(meet(X,Y),meet(Y,join(X,Y)))),meet(join(meet(X,Y),meet(Y,join(X,Y))),V)),join(meet(X,Y),meet(Y,join(X,Y)))))))).
% 68 [para:20.1.1,16.1.1.1.1,demod:29,20,61] equal(X,join(meet(Y,join(join(meet(Z,X),meet(X,U)),X)),meet(X,join(Y,join(join(meet(Z,X),meet(X,U)),X))))).
% 70 [para:20.1.1,16.1.1.2.1.2.1.2.1,demod:68,67] equal(join(meet(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U))),join(meet(Y,Z),meet(Z,join(Y,Z)))).
% 71 [para:20.1.1,16.1.1.2.2.1,demod:61,68] equal(join(meet(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z),meet(Y,join(Y,Z))),Y).
% 92 [para:19.1.1,13.1.1.2.1.2.1,demod:68] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 93 [para:13.1.1,19.1.1.2.1.2.1,demod:92,70] equal(X,join(meet(Y,X),meet(X,join(Y,X)))).
% 98 [para:19.1.1,16.1.1.2.1.1.2.1,demod:61,93] equal(join(meet(X,Y),meet(join(meet(Z,join(X,X)),meet(X,join(Z,join(X,X)))),join(X,Y))),X).
% 107 [para:13.1.1,93.1.2.2.2,demod:93,61] equal(meet(X,join(X,Y)),join(meet(meet(X,Y),meet(X,join(X,Y))),meet(meet(X,join(X,Y)),X))).
% 112 [para:93.1.2,29.1.1.2.2] equal(join(meet(meet(X,Y),meet(Y,join(X,Y))),meet(meet(X,Y),Y)),meet(X,Y)).
% 117 [para:93.1.2,93.1.2.2.2] equal(meet(X,join(Y,X)),join(meet(meet(Y,X),meet(X,join(Y,X))),meet(meet(X,join(Y,X)),X))).
% 155 [para:98.1.1,93.1.2] equal(join(meet(X,join(Y,Y)),meet(Y,join(X,join(Y,Y)))),Y).
% 171 [para:107.1.2,93.1.2.2.2] equal(meet(meet(X,join(X,Y)),X),join(meet(meet(meet(X,Y),meet(X,join(X,Y))),meet(meet(X,join(X,Y)),X)),meet(meet(meet(X,join(X,Y)),X),meet(X,join(X,Y))))).
% 176 [para:21.1.1,13.1.1.2.1,demod:93] equal(join(meet(X,Y),meet(join(meet(X,meet(meet(join(Z,join(X,U)),join(V,X)),X)),meet(W,join(X,meet(meet(join(Z,join(X,U)),join(V,X)),X)))),join(X,Y))),X).
% 301 [para:93.1.2,176.1.1.2.1] equal(join(meet(X,Y),meet(meet(meet(join(Z,join(X,U)),join(V,X)),X),join(X,Y))),X).
% 337 [para:301.1.1,93.1.2] equal(meet(meet(join(X,join(Y,Z)),join(U,Y)),Y),Y).
% 364 [para:13.1.1,337.1.1.1.1.2,demod:93] equal(meet(meet(join(X,Y),join(Z,meet(Y,U))),meet(Y,U)),meet(Y,U)).
% 387 [para:337.1.1,93.1.2.1] equal(X,join(X,meet(X,join(meet(join(Y,join(X,Z)),join(U,X)),X)))).
% 388 [para:93.1.2,337.1.1.1.1.2] equal(meet(meet(join(X,Y),join(Z,meet(U,Y))),meet(U,Y)),meet(U,Y)).
% 413 [para:337.1.1,176.1.1.2.1.2,demod:337] equal(join(meet(X,Y),meet(join(meet(X,X),join(X,X)),join(X,Y))),X).
% 519 [para:387.1.2,337.1.1.1.1.2] equal(meet(meet(join(X,Y),join(Z,Y)),Y),Y).
% 609 [para:112.1.1,388.1.1.1.2] equal(meet(meet(join(X,Y),meet(Z,Y)),meet(meet(Z,Y),Y)),meet(meet(Z,Y),Y)).
% 665 [para:413.1.1,93.1.2] equal(join(meet(X,X),join(X,X)),X).
% 678 [para:665.1.1,155.1.1.2.2] equal(join(meet(meet(X,X),join(X,X)),meet(X,X)),X).
% 693 [para:665.1.1,337.1.1.1.1] equal(meet(meet(X,join(Y,X)),X),X).
% 696 [para:665.1.1,387.1.2.2.2.1.1] equal(X,join(X,meet(X,join(meet(X,join(Y,X)),X)))).
% 698 [para:665.1.1,519.1.1.1.1] equal(meet(meet(X,join(Y,join(X,X))),join(X,X)),join(X,X)).
% 744 [para:93.1.2,693.1.1.1.2,demod:693] equal(meet(X,meet(X,join(Y,X))),meet(X,join(Y,X))).
% 792 [para:678.1.1,364.1.1.1.2] equal(meet(meet(join(X,Y),Y),meet(Y,Y)),meet(Y,Y)).
% 794 [para:678.1.1,519.1.1.1.1] equal(meet(meet(X,join(Y,meet(X,X))),meet(X,X)),meet(X,X)).
% 799 [para:678.1.1,693.1.1.1.2] equal(meet(meet(meet(X,X),X),meet(X,X)),meet(X,X)).
% 819 [para:387.1.2,696.1.2.2.2.1.2,demod:387,693] equal(meet(X,join(meet(join(Y,join(X,Z)),join(U,X)),X)),join(meet(X,join(meet(join(Y,join(X,Z)),join(U,X)),X)),X)).
% 839 [para:678.1.1,744.1.1.2.2,demod:678] equal(meet(meet(X,X),meet(meet(X,X),X)),meet(meet(X,X),X)).
% 973 [para:665.1.1,698.1.1.1.2] equal(meet(meet(X,X),join(X,X)),join(X,X)).
% 986 [para:973.1.1,155.1.1.1,demod:665] equal(join(join(X,X),meet(X,X)),X).
% 1005 [para:986.1.1,117.1.2.1.2.2,demod:799,609,986] equal(meet(meet(X,X),X),join(meet(meet(X,X),X),meet(X,X))).
% 1016 [para:986.1.1,696.1.2.2.2.1.2,demod:839,1005] equal(meet(X,X),join(meet(X,X),meet(meet(X,X),X))).
% 1164 [para:678.1.1,794.1.1.1.2] equal(meet(meet(X,X),meet(X,X)),meet(X,X)).
% 1193 [para:1164.1.1,1016.1.2.1,demod:1164] equal(meet(X,X),join(meet(X,X),meet(X,X))).
% 1222 [para:32.1.1,93.1.2,demod:337] equal(join(meet(X,X),meet(Y,join(X,X))),X).
% 1259 [para:1222.1.1,155.1.1] equal(join(X,X),X).
% 1262 [para:1222.1.1,21.1.1.1.1,demod:1164,1193,1259,93] equal(join(meet(meet(X,X),Y),meet(X,join(meet(X,X),Y))),meet(X,X)).
% 1267 [para:1222.1.1,21.1.1.1.1.1.2,demod:1005,1164,1193,1259,93] equal(join(meet(meet(meet(X,X),X),Y),meet(X,join(meet(X,X),Y))),meet(X,X)).
% 1278 [para:1222.1.1,21.1.1.2.2.1.1.1.2.2.1,demod:1267,1005,93,1262,1193,1259] equal(meet(X,X),X).
% 1285 [para:1222.1.1,117.1.2.1.2.2,demod:693,1278,1259] equal(meet(meet(X,Y),join(Y,meet(X,Y))),join(meet(meet(Y,meet(X,Y)),meet(meet(X,Y),Y)),meet(X,Y))).
% 1287 [para:1222.1.1,68.1.2] equal(X,join(join(meet(Y,X),meet(X,Z)),X)).
% 1302 [para:1222.1.1,71.1.1.2.2,demod:1259,93,1278] equal(join(meet(X,meet(Y,X)),X),X).
% 1354 [para:1222.1.1,792.1.1.1.1,demod:1278,1259] equal(meet(meet(X,meet(Y,X)),meet(Y,X)),meet(Y,X)).
% 1375 [para:1193.1.2,1222.1.1.2.2,demod:1278] equal(join(X,meet(Y,X)),X).
% 1386 [para:1259.1.1,337.1.1.1.1] equal(meet(meet(join(X,Y),join(Z,X)),X),X).
% 1404 [para:1375.1.1,112.1.1.1.2.2,demod:1375,1285,1354] equal(meet(meet(X,Y),Y),meet(Y,meet(X,Y))).
% 1405 [para:1375.1.1,21.1.1.1.1.1.2.2.2,demod:29,1302,1354,1375,1404,1259,1278,93] equal(meet(X,Y),meet(Y,meet(X,Y))).
% 1416 [para:387.1.2,33.1.1.2.2,demod:819,1375,1278,693,1259,744,93] equal(meet(X,join(meet(join(Y,join(X,Z)),join(U,X)),X)),X).
% 1492 [para:337.1.1,1287.1.2.1.1] equal(X,join(join(X,meet(X,Y)),X)).
% 1505 [para:1492.1.2,29.1.1.2.2,demod:1259] equal(meet(join(X,meet(X,Y)),X),join(X,meet(X,Y))).
% 1536 [para:387.1.2,1386.1.1.1.2,demod:1405,1404,1416] equal(meet(join(X,Y),X),X).
% 1553 [para:13.1.1,1536.1.1.1,demod:93] equal(meet(X,meet(X,Y)),meet(X,Y)).
% 1565 [para:1492.1.2,1536.1.1.1] equal(meet(X,join(X,meet(X,Y))),join(X,meet(X,Y))).
% 1566 [para:1553.1.1,13.1.1.1,demod:1565,1375,1259,1278,337,1287,93] equal(join(meet(X,Y),join(X,meet(X,Y))),X).
% 1570 [para:1553.1.1,112.1.1.1.1,demod:1278,1553,744] equal(join(meet(meet(X,Y),join(X,meet(X,Y))),meet(X,Y)),meet(X,Y)).
% 1571 [para:1553.1.1,117.1.2.1.1,demod:1570,693,744] equal(meet(meet(X,Y),join(X,meet(X,Y))),meet(X,Y)).
% 1575 [para:1553.1.1,171.1.2.1.1.1,demod:1566,1278,1571,1505,1565,slowcut: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 14
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 99
% derived clauses: 33122
% kept clauses: 1561
% kept size sum: 116402
% kept mid-nuclei: 0
% kept new demods: 1564
% forw unit-subs: 29659
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 2
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 3.29
% process. runtime: 3.26
% 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/LAT087-1+eq_r.in")
%
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