TSTP Solution File: LAT210-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT210-1 : 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 : art05.cs.miami.edu
% Model : i686 unknown
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1000MB
% OS : Linux 2.4.22-21mdk-i686-up-4GB
% CPULimit : 600s
% Result : Unsatisfiable 19.6s
% Output : Assurance 19.6s
% 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/LAT210-1+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 6 5)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 6 5)
% (binary-posweight-lex-big-order 30 #f 6 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(14,40,0,28,0,1,28280,4,2256)
%
%
% START OF PROOF
% 15 [] equal(X,X).
% 16 [] equal(meet(X,X),X).
% 18 [] equal(meet(X,join(X,Y)),X).
% 19 [] equal(join(X,meet(X,Y)),X).
% 20 [] equal(meet(X,Y),meet(Y,X)).
% 21 [] equal(join(X,Y),join(Y,X)).
% 22 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 23 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 24 [] equal(join(X,complement(X)),one).
% 25 [] equal(meet(X,complement(X)),zero).
% 26 [] -equal(join(X,Y),one) | -equal(meet(X,Y),zero) | equal(complement(X),Y).
% 27 [] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(X,join(Z,meet(X,Y)))))).
% 28 [] -equal(meet(a,join(b,c)),join(meet(a,b),meet(a,c))).
% 32 [para:24.1.1,18.1.1.2] equal(meet(X,one),X).
% 35 [para:25.1.1,19.1.1.2] equal(join(X,zero),X).
% 37 [para:20.1.1,25.1.1] equal(meet(complement(X),X),zero).
% 38 [para:20.1.1,18.1.1] equal(meet(join(X,Y),X),X).
% 39 [para:20.1.1,32.1.1] equal(meet(one,X),X).
% 40 [para:20.1.1,19.1.1.2] equal(join(X,meet(Y,X)),X).
% 41 [para:21.1.1,24.1.1] equal(join(complement(X),X),one).
% 42 [para:21.1.1,18.1.1.2] equal(meet(X,join(Y,X)),X).
% 43 [para:21.1.1,19.1.1] equal(join(meet(X,Y),X),X).
% 44 [para:21.1.1,35.1.1] equal(join(zero,X),X).
% 46 [para:39.1.1,18.1.1] equal(join(one,X),one).
% 47 [hyper:26,44,demod:32,cut:15] equal(complement(zero),one).
% 48 [para:44.1.1,18.1.1.2] equal(meet(zero,X),zero).
% 51 [para:22.1.1,16.1.1] equal(meet(X,meet(Y,meet(X,Y))),meet(X,Y)).
% 53 [para:22.1.1,25.1.1] equal(meet(X,meet(Y,complement(meet(X,Y)))),zero).
% 55 [para:22.1.1,18.1.1] equal(meet(X,meet(Y,join(meet(X,Y),Z))),meet(X,Y)).
% 56 [para:18.1.1,22.1.1.1] equal(meet(X,Y),meet(X,meet(join(X,Z),Y))).
% 57 [para:22.1.1,19.1.1.2] equal(join(meet(X,Y),meet(X,meet(Y,Z))),meet(X,Y)).
% 58 [para:22.1.1,20.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 60 [para:20.1.1,22.1.1.1,demod:22] equal(meet(X,meet(Y,Z)),meet(Y,meet(X,Z))).
% 63 [hyper:26,37,demod:41,cut:15] equal(complement(complement(X)),X).
% 64 [para:37.1.1,22.1.1.1,demod:48] equal(zero,meet(complement(X),meet(X,Y))).
% 68 [para:24.1.1,23.1.1.1,demod:46] equal(one,join(X,join(complement(X),Y))).
% 70 [para:23.1.1,19.1.1] equal(join(X,join(Y,meet(join(X,Y),Z))),join(X,Y)).
% 71 [para:19.1.1,23.1.1.1] equal(join(X,Y),join(X,join(meet(X,Z),Y))).
% 72 [para:23.1.1,21.1.1] equal(join(X,join(Y,Z)),join(Z,join(X,Y))).
% 75 [para:41.1.1,23.1.1.1,demod:46] equal(one,join(complement(X),join(X,Y))).
% 77 [para:38.1.1,19.1.1.2,demod:23] equal(join(X,join(Y,X)),join(X,Y)).
% 78 [para:21.1.1,38.1.1.1] equal(meet(join(X,Y),Y),Y).
% 82 [para:40.1.1,21.1.1] equal(X,join(meet(Y,X),X)).
% 83 [para:22.1.1,40.1.1.2] equal(join(X,meet(Y,meet(Z,X))),X).
% 87 [para:19.1.1,42.1.1.2,demod:22] equal(meet(X,meet(Y,X)),meet(X,Y)).
% 90 [para:23.1.1,42.1.1.2] equal(meet(X,join(Y,join(Z,X))),X).
% 107 [para:23.1.1,78.1.1.1] equal(meet(join(X,join(Y,Z)),Z),Z).
% 109 [para:22.1.1,82.1.2.1] equal(X,join(meet(Y,meet(Z,X)),X)).
% 115 [para:38.1.1,64.1.2.2] equal(zero,meet(complement(join(X,Y)),X)).
% 120 [para:25.1.1,27.1.2.2.2.2.2,demod:35] equal(meet(X,join(complement(X),Y)),meet(X,join(complement(X),meet(X,Y)))).
% 121 [para:27.1.2,20.1.1] equal(meet(X,join(Y,Z)),meet(join(Y,meet(X,join(Z,meet(X,Y)))),X)).
% 129 [para:27.1.2,40.1.1.2,demod:23] equal(join(X,join(meet(Y,join(Z,meet(Y,X))),meet(Y,join(X,Z)))),join(X,meet(Y,join(Z,meet(Y,X))))).
% 138 [para:43.1.1,75.1.2.2] equal(one,join(complement(meet(X,Y)),X)).
% 139 [para:82.1.2,75.1.2.2] equal(one,join(complement(meet(X,Y)),Y)).
% 149 [para:51.1.1,40.1.1.2,demod:87] equal(join(meet(X,Y),meet(Y,X)),meet(X,Y)).
% 152 [para:115.1.2,20.1.1] equal(zero,meet(X,complement(join(X,Y)))).
% 166 [para:138.1.2,21.1.1] equal(one,join(X,complement(meet(X,Y)))).
% 170 [para:139.1.2,21.1.1] equal(one,join(X,complement(meet(Y,X)))).
% 174 [para:27.1.2,139.1.2.1.1] equal(one,join(complement(meet(X,join(Y,Z))),join(Y,meet(X,join(Z,meet(X,Y)))))).
% 177 [para:53.1.1,20.1.1,demod:22] equal(zero,meet(X,meet(complement(meet(Y,X)),Y))).
% 182 [para:152.1.2,22.1.1] equal(zero,meet(X,meet(Y,complement(join(meet(X,Y),Z))))).
% 191 [para:166.1.2,23.1.1] equal(one,join(X,join(Y,complement(meet(join(X,Y),Z))))).
% 203 [para:55.1.1,40.1.1.2] equal(join(meet(X,join(meet(Y,X),Z)),meet(Y,X)),meet(X,join(meet(Y,X),Z))).
% 205 [para:55.1.1,27.1.2.2.2.2.2] equal(meet(X,join(meet(Y,join(meet(X,Y),Z)),U)),meet(X,join(meet(Y,join(meet(X,Y),Z)),meet(X,join(U,meet(X,Y)))))).
% 212 [para:77.1.1,42.1.1.2] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 217 [para:18.1.1,83.1.1.2.2,demod:23] equal(join(X,join(Y,meet(Z,X))),join(X,Y)).
% 231 [para:19.1.1,90.1.1.2.2,demod:22] equal(meet(X,meet(Y,join(Z,X))),meet(X,Y)).
% 242 [para:40.1.1,107.1.1.1.2] equal(meet(join(X,Y),meet(Z,Y)),meet(Z,Y)).
% 258 [para:56.1.2,170.1.2.2.1] equal(one,join(meet(join(X,Y),Z),complement(meet(X,Z)))).
% 264 [para:42.1.1,109.1.2.1.2] equal(join(X,Y),join(meet(Z,Y),join(X,Y))).
% 304 [para:78.1.1,57.1.1.2.2] equal(join(meet(X,join(Y,Z)),meet(X,Z)),meet(X,join(Y,Z))).
% 500 [para:21.1.1,70.1.1.2] equal(join(X,join(meet(join(X,Y),Z),Y)),join(X,Y)).
% 501 [para:21.1.1,70.1.1.2.2.1] equal(join(X,join(Y,meet(join(Y,X),Z))),join(X,Y)).
% 503 [para:70.1.1,42.1.1.2] equal(meet(join(X,meet(join(Y,X),Z)),join(Y,X)),join(X,meet(join(Y,X),Z))).
% 537 [para:71.1.2,21.1.1,demod:23] equal(join(X,Y),join(meet(X,Z),join(Y,X))).
% 816 [para:149.1.1,72.1.1.2] equal(join(X,meet(Y,Z)),join(meet(Z,Y),join(X,meet(Y,Z)))).
% 821 [para:212.1.1,83.1.1.2.2,demod:23] equal(join(X,join(Y,meet(Z,join(Y,X)))),join(X,Y)).
% 823 [para:212.1.1,58.1.1.2] equal(meet(X,join(Y,Z)),meet(join(Z,Y),meet(X,join(Y,Z)))).
% 824 [para:212.1.1,60.1.1.2,demod:823] equal(meet(X,join(Y,Z)),meet(X,join(Z,Y))).
% 851 [para:51.1.1,217.1.1.2.2,demod:816,87] equal(join(X,meet(Y,Z)),join(meet(Z,Y),X)).
% 936 [para:77.1.1,231.1.1.2.2,demod:823] equal(meet(X,join(Y,Z)),meet(join(Z,Y),X)).
% 1483 [para:53.1.1,120.1.2.2.2,demod:25,35] equal(meet(X,join(complement(X),meet(Y,complement(meet(X,Y))))),zero).
% 1484 [para:152.1.2,120.1.2.2.2,demod:25,35] equal(meet(X,join(complement(X),complement(join(X,Y)))),zero).
% 1582 [para:936.1.2,149.1.1.1] equal(join(meet(X,join(Y,Z)),meet(X,join(Z,Y))),meet(join(Z,Y),X)).
% 1631 [hyper:26,1484,demod:68,cut:15] equal(complement(X),join(complement(X),complement(join(X,Y)))).
% 1650 [para:78.1.1,121.1.2.1.2.2.2,demod:503] equal(meet(join(X,Y),join(Y,Z)),join(Y,meet(join(X,Y),join(Z,Y)))).
% 1663 [para:83.1.1,121.1.2.1.2.2,demod:82] equal(meet(X,Y),meet(join(meet(Z,Y),meet(X,Y)),X)).
% 1696 [para:1631.1.2,21.1.1] equal(complement(X),join(complement(join(X,Y)),complement(X))).
% 1697 [para:21.1.1,1631.1.2.2.1] equal(complement(X),join(complement(X),complement(join(Y,X)))).
% 1701 [para:1631.1.2,42.1.1.2] equal(meet(complement(join(X,Y)),complement(X)),complement(join(X,Y))).
% 1859 [para:82.1.2,1696.1.2.1.1] equal(complement(meet(X,Y)),join(complement(Y),complement(meet(X,Y)))).
% 1876 [para:1697.1.2,78.1.1.1] equal(meet(complement(X),complement(join(Y,X))),complement(join(Y,X))).
% 2329 [para:78.1.1,129.1.1.2.1.2.2,demod:1650,78,1582] equal(join(X,meet(join(X,Y),join(Z,X))),meet(join(Z,X),join(X,Y))).
% 2379 [para:43.1.1,1701.1.1.1.1,demod:43] equal(meet(complement(X),complement(meet(X,Y))),complement(X)).
% 2404 [para:2379.1.1,20.1.1] equal(complement(X),meet(complement(meet(X,Y)),complement(X))).
% 2406 [para:63.1.1,2379.1.1.1,demod:63] equal(meet(X,complement(meet(complement(X),Y))),X).
% 2429 [para:20.1.1,2406.1.1.2.1] equal(meet(X,complement(meet(Y,complement(X)))),X).
% 2466 [para:2429.1.1,82.1.2.1] equal(complement(meet(X,complement(Y))),join(Y,complement(meet(X,complement(Y))))).
% 3899 [para:1876.1.1,182.1.2.2] equal(zero,meet(X,complement(join(meet(X,complement(Y)),Y)))).
% 3900 [para:3899.1.2,20.1.1] equal(zero,meet(complement(join(meet(X,complement(Y)),Y)),X)).
% 3912 [para:20.1.1,3900.1.2.1.1.1] equal(zero,meet(complement(join(meet(complement(X),Y),X)),Y)).
% 3914 [para:63.1.1,3900.1.2.1.1.1.2] equal(zero,meet(complement(join(meet(X,Y),complement(Y))),X)).
% 4322 [para:1859.1.2,191.1.2.2] equal(one,join(X,complement(meet(join(X,complement(Y)),Y)))).
% 4752 [para:42.1.1,258.1.2.2.1] equal(one,join(meet(join(X,Y),join(Z,X)),complement(X))).
% 11309 [para:4752.1.2,203.1.1.1.2,demod:4752,2329,23,32] equal(join(X,meet(join(X,Y),join(Y,Z))),join(X,Y)).
% 12720 [para:217.1.1,304.1.1.1.2,demod:217] equal(join(meet(X,join(Y,Z)),meet(X,join(Z,meet(U,Y)))),meet(X,join(Y,Z))).
% 13514 [para:121.1.2,500.1.1.2.1,demod:12720] equal(join(X,meet(Y,join(X,Z))),join(X,meet(Y,join(Z,meet(Y,X))))).
% 19828 [para:11309.1.1,21.1.1] equal(join(X,Y),join(meet(join(X,Y),join(Y,Z)),X)).
% 23004 [hyper:26,1483,demod:68,cut:15] equal(complement(X),join(complement(X),meet(Y,complement(meet(X,Y))))).
% 23027 [para:63.1.1,23004.1.2.1,demod:63] equal(X,join(X,meet(Y,complement(meet(complement(X),Y))))).
% 23029 [para:23004.1.2,42.1.1.2,demod:2404,22] equal(meet(X,complement(Y)),meet(X,complement(meet(Y,X)))).
% 23051 [para:3900.1.2,23004.1.2.2.2.1,demod:537,23,32,47,63] equal(join(meet(X,complement(Y)),Y),join(X,Y)).
% 23056 [para:3912.1.2,23004.1.2.2.2.1,demod:264,23,32,47,63] equal(join(meet(complement(X),Y),X),join(X,Y)).
% 23058 [para:3914.1.2,23004.1.2.2.2.1,demod:537,23,32,47,63] equal(join(meet(X,Y),complement(Y)),join(X,complement(Y))).
% 23788 [para:23029.1.2,23051.1.1.1,demod:40] equal(join(meet(X,complement(Y)),meet(Y,X)),X).
% 23790 [para:23029.1.2,23056.1.1.1,demod:2466,23056] equal(join(X,complement(Y)),complement(meet(Y,complement(X)))).
% 23792 [para:23029.1.2,23027.1.2.2.2.1,demod:2329,63,23790] equal(X,meet(join(Y,X),join(X,complement(Y)))).
% 23842 [para:20.1.1,23788.1.1.1] equal(join(meet(complement(X),Y),meet(X,Y)),Y).
% 23867 [para:23788.1.1,851.1.2] equal(join(meet(X,Y),meet(complement(X),Y)),Y).
% 24093 [para:23790.1.2,23027.1.2.2.2,demod:63] equal(X,join(X,meet(complement(Y),join(Y,X)))).
% 24190 [para:23792.1.2,20.1.1] equal(X,meet(join(X,complement(Y)),join(Y,X))).
% 24218 [para:217.1.1,23792.1.2.1,demod:23058,23] equal(join(X,meet(Y,Z)),meet(join(Z,X),join(X,join(Y,complement(Z))))).
% 24261 [para:4322.1.2,23792.1.2.2,demod:32] equal(X,join(meet(join(X,complement(Y)),Y),X)).
% 24330 [para:501.1.1,23792.1.2.1,demod:242,22,24218,23] equal(join(X,meet(join(X,Y),Z)),join(X,meet(Z,Y))).
% 24335 [para:821.1.1,23792.1.2.1,demod:78,22,24218,23] equal(join(X,meet(Y,join(X,Z))),join(X,meet(Y,Z))).
% 24377 [para:177.1.2,23842.1.1.1,demod:44,56,23790] equal(meet(X,Y),meet(join(X,complement(Y)),Y)).
% 25489 [para:23867.1.1,205.1.2.2.1.2,demod:24335,13514,16,23867] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(X,Z)))).
% 25850 [para:174.1.2,24093.1.2.2.2,demod:24330,1582,23,32,22,63,25489] equal(join(X,meet(Y,join(Z,X))),join(X,meet(Y,Z))).
% 26021 [para:24190.1.2,1663.1.2.1.1,demod:25850] equal(meet(X,join(Y,Z)),meet(join(Z,meet(X,Y)),X)).
% 26406 [para:24261.1.2,19828.1.2.1.2,demod:26021,24377] equal(join(X,meet(Y,Z)),join(meet(Y,join(Z,X)),X)).
% 28298 [para:26406.1.1,28.1.2,demod:304,25489,cut:824] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 5
% clause depth limited to 6
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 906
% derived clauses: 823352
% kept clauses: 28062
% kept size sum: 559082
% kept mid-nuclei: 206
% kept new demods: 26855
% forw unit-subs: 699915
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 9
% fast unit cutoff: 6
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 23.71
% process. runtime: 23.27
% 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/LAT210-1+eq_r.in")
%
%------------------------------------------------------------------------------