TSTP Solution File: LAT022-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT022-1 : 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 : art03.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 100.1s
% Output : Assurance 100.1s
% 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/LAT022-1+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 4 1)
% (binary-posweight-lex-big-order 30 #f 4 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(11,40,1,22,0,1,3280,3,3009,4271,4,4504,4694,5,6003,4694,1,6003,4694,50,6004,4694,40,6004,4705,0,6004,7434,3,7511,8251,4,8260,9119,5,9008,9119,1,9008,9119,50,9008,9119,40,9008,9130,0,9008)
%
%
% START OF PROOF
% 9121 [] equal(meet(X,X),X).
% 9122 [] equal(join(X,X),X).
% 9123 [] equal(meet(X,Y),meet(Y,X)).
% 9124 [] equal(join(X,Y),join(Y,X)).
% 9125 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 9126 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 9127 [] equal(join(meet(X,join(Y,Z)),meet(X,Y)),meet(X,join(Y,Z))).
% 9128 [] equal(meet(join(X,meet(Y,Z)),join(X,Y)),join(X,meet(Y,Z))).
% 9129 [] equal(join(meet(X,Y),meet(Z,join(X,Y))),meet(join(X,Y),join(Z,meet(X,Y)))).
% 9130 [] -equal(meet(a,join(b,meet(a,c))),join(meet(a,b),meet(a,c))).
% 9134 [para:9123.1.1,9130.1.2.2] -equal(meet(a,join(b,meet(a,c))),join(meet(a,b),meet(c,a))).
% 9150 [para:9124.1.1,9134.1.2] -equal(meet(a,join(b,meet(a,c))),join(meet(c,a),meet(a,b))).
% 9151 [para:9121.1.1,9129.1.1.1,demod:9121,9122] equal(join(X,meet(Y,X)),meet(X,join(Y,X))).
% 9153 [para:9123.1.1,9129.1.1.1] equal(join(meet(X,Y),meet(Z,join(Y,X))),meet(join(Y,X),join(Z,meet(Y,X)))).
% 9154 [para:9123.1.1,9129.1.1.2] equal(join(meet(X,Y),meet(join(X,Y),Z)),meet(join(X,Y),join(Z,meet(X,Y)))).
% 9156 [para:9124.1.1,9129.1.1.2.2,demod:9153] equal(meet(join(X,Y),join(Z,meet(X,Y))),meet(join(Y,X),join(Z,meet(Y,X)))).
% 9158 [para:9125.1.1,9129.1.1.2] equal(join(meet(X,Y),meet(Z,meet(U,join(X,Y)))),meet(join(X,Y),join(meet(Z,U),meet(X,Y)))).
% 9164 [para:9129.1.1,9128.1.1.2,demod:9125] equal(meet(join(meet(X,Y),meet(Z,meet(join(X,Y),U))),meet(join(X,Y),join(Z,meet(X,Y)))),join(meet(X,Y),meet(Z,meet(join(X,Y),U)))).
% 9168 [para:9123.1.1,9151.1.1.2] equal(join(X,meet(X,Y)),meet(X,join(Y,X))).
% 9169 [para:9151.1.1,9124.1.1] equal(meet(X,join(Y,X)),join(meet(Y,X),X)).
% 9170 [para:9125.1.1,9151.1.1.2] equal(join(X,meet(Y,meet(Z,X))),meet(X,join(meet(Y,Z),X))).
% 9172 [para:9151.1.1,9126.1.1.1] equal(join(meet(X,join(Y,X)),Z),join(X,join(meet(Y,X),Z))).
% 9177 [para:9151.1.1,9129.1.1.2.2,demod:9125,9151] equal(join(meet(X,meet(Y,X)),meet(Z,meet(X,join(Y,X)))),meet(X,meet(join(Y,X),join(Z,meet(X,meet(Y,X)))))).
% 9178 [para:9168.1.1,9124.1.1] equal(meet(X,join(Y,X)),join(meet(X,Y),X)).
% 9179 [para:9125.1.1,9168.1.1.2,demod:9125] equal(join(meet(X,Y),meet(X,meet(Y,Z))),meet(X,meet(Y,join(Z,meet(X,Y))))).
% 9182 [para:9168.1.1,9128.1.1.1,demod:9168,9125,9122] equal(meet(X,meet(join(Y,X),X)),meet(X,join(Y,X))).
% 9185 [para:9168.1.1,9129.1.1,demod:9122,9125,9151,9126] equal(meet(X,meet(Y,join(X,meet(Y,join(X,Y))))),meet(join(X,Y),meet(X,Y))).
% 9193 [para:9169.1.2,9129.1.1.2.2,demod:9169,9158,9121,9125] equal(meet(join(X,Y),join(meet(Z,Y),meet(X,Y))),meet(Y,meet(join(X,Y),join(Z,meet(X,Y))))).
% 9195 [para:9178.1.2,9126.1.1.1,demod:9172] equal(join(X,join(meet(Y,X),Z)),join(meet(X,Y),join(X,Z))).
% 9199 [para:9123.1.1,9182.1.1.2] equal(meet(X,meet(X,join(Y,X))),meet(X,join(Y,X))).
% 9200 [para:9124.1.1,9182.1.1.2.1] equal(meet(X,meet(join(X,Y),X)),meet(X,join(Y,X))).
% 9202 [?] ?
% 9211 [para:9182.1.1,9169.1.2.1,demod:9154,9172,9199,9125,9122,9126,9151] equal(meet(join(X,Y),meet(Y,join(X,Y))),join(Y,meet(join(X,Y),meet(Y,join(X,Y))))).
% 9215 [para:9199.1.1,9125.1.1.1,demod:9125] equal(meet(X,meet(join(Y,X),Z)),meet(X,meet(X,meet(join(Y,X),Z)))).
% 9220 [para:9199.1.1,9151.1.1.2,demod:9121,9202,9125,9122,9126,9168,9211,9151,9129,9172] equal(meet(join(X,Y),meet(Y,join(X,Y))),meet(Y,join(X,Y))).
% 9221 [para:9151.1.1,9199.1.1.2.2,demod:9151,9199,9125] equal(meet(X,meet(Y,meet(X,meet(Y,join(X,Y))))),meet(X,meet(Y,join(X,Y)))).
% 9222 [para:9200.1.1,9123.1.1,demod:9121,9125] equal(meet(X,join(Y,X)),meet(join(X,Y),X)).
% 9227 [para:9178.1.2,9200.1.1.2.1,demod:9168,9221,9222,9202,9125] equal(meet(X,meet(Y,join(X,Y))),meet(X,meet(Y,meet(X,join(Y,X))))).
% 9228 [para:9222.1.2,9123.1.1] equal(meet(X,join(Y,X)),meet(X,join(X,Y))).
% 9230 [para:9222.1.2,9125.1.1.1,demod:9125] equal(meet(X,meet(join(Y,X),Z)),meet(join(X,Y),meet(X,Z))).
% 9234 [para:9127.1.1,9222.1.2.1,demod:9125] equal(meet(X,meet(join(Y,Z),join(meet(X,Y),meet(X,join(Y,Z))))),meet(X,meet(join(Y,Z),meet(X,join(Y,Z))))).
% 9239 [para:9222.1.2,9151.1.1.2,demod:9122,9126,9168] equal(meet(X,join(Y,X)),meet(X,join(X,join(Y,X)))).
% 9240 [para:9222.1.2,9168.1.1.2,demod:9126] equal(join(X,join(Y,meet(X,join(Y,X)))),meet(join(X,Y),join(X,join(X,Y)))).
% 9243 [para:9228.1.1,9123.1.1] equal(meet(X,join(X,Y)),meet(join(Y,X),X)).
% 9257 [para:9228.1.1,9151.1.1.2,demod:9239,9168,9126] equal(join(X,meet(Y,join(X,Y))),meet(join(X,Y),join(Y,join(X,Y)))).
% 9261 [para:9243.1.2,9125.1.1.1,demod:9125] equal(meet(X,meet(join(X,Y),Z)),meet(join(Y,X),meet(X,Z))).
% 9293 [para:9123.1.1,9170.1.1.2,demod:9125] equal(join(X,meet(Y,meet(X,Z))),meet(X,join(meet(Z,Y),X))).
% 9294 [para:9123.1.1,9170.1.1.2.2,demod:9293] equal(meet(X,join(meet(Y,Z),X)),meet(X,join(meet(Z,Y),X))).
% 9318 [para:9122.1.1,9172.1.1.1.2,demod:9121] equal(join(X,Y),join(X,join(X,Y))).
% 9333 [para:9172.1.1,9169.1.2,demod:9121,9318,9240,9178,9195,9257] equal(join(X,meet(Y,join(X,Y))),join(Y,X)).
% 9345 [para:9318.1.2,9124.1.1,demod:9126] equal(join(X,Y),join(X,join(Y,X))).
% 9358 [para:9345.1.2,9228.1.1.2,demod:9121,9122,9126] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 9360 [para:9345.1.2,9172.1.1.1.2,demod:9318,9172,9126,9358] equal(join(X,join(Y,Z)),join(X,join(Y,join(meet(X,Y),Z)))).
% 9361 [para:9123.1.1,9333.1.1.2,demod:9243] equal(join(X,meet(Y,join(Y,X))),join(Y,X)).
% 9364 [para:9333.1.1,9126.1.1.1,demod:9360,9172,9126] equal(join(X,join(Y,Z)),join(Y,join(X,Z))).
% 9366 [para:9127.1.1,9333.1.1.2.2,demod:9234,9170,9125] equal(meet(X,meet(join(Y,Z),meet(X,join(Y,Z)))),join(meet(X,Y),meet(X,join(Y,Z)))).
% 9372 [para:9358.1.1,9125.1.1.1] equal(meet(join(X,Y),Z),meet(join(X,Y),meet(join(Y,X),Z))).
% 9375 [para:9127.1.1,9358.1.1.1,demod:9127,9366,9234,9125] equal(join(meet(X,Y),meet(X,join(Y,Z))),meet(X,join(Y,Z))).
% 9402 [para:9151.1.1,9364.1.1.2] equal(join(X,meet(Y,join(Z,Y))),join(Y,join(X,meet(Z,Y)))).
% 9407 [para:9169.1.2,9364.1.1.2] equal(join(X,meet(Y,join(Z,Y))),join(meet(Z,Y),join(X,Y))).
% 9784 [?] ?
% 9812 [?] ?
% 10079 [para:9345.1.2,9261.1.2.1,demod:9372,9812,9122,9126] equal(meet(join(X,Y),Z),meet(join(Y,X),Z)).
% 10103 [para:10079.1.1,9123.1.1] equal(meet(join(X,Y),Z),meet(Z,join(Y,X))).
% 10151 [para:10103.1.1,9123.1.1] equal(meet(X,join(Y,Z)),meet(X,join(Z,Y))).
% 10162 [para:10103.1.1,9128.1.1] equal(meet(join(X,Y),join(meet(Y,Z),X)),join(X,meet(Y,Z))).
% 10279 [para:9122.1.1,9294.1.1.2,demod:9125] equal(meet(X,meet(Y,meet(X,Y))),meet(X,meet(Y,join(meet(Y,X),meet(X,Y))))).
% 10304 [para:9294.1.1,9361.1.1.2,demod:9122,9179,10279,9125] equal(meet(X,meet(Y,meet(X,Y))),meet(X,Y)).
% 10334 [para:9123.1.1,10304.1.1.2,demod:9121,9125] equal(meet(X,meet(X,Y)),meet(X,Y)).
% 10335 [para:9123.1.1,10304.1.1.2.2,demod:10334] equal(meet(X,meet(Y,X)),meet(X,Y)).
% 10337 [para:10304.1.1,9125.1.1.1,demod:10335,9125] equal(meet(X,meet(Y,Z)),meet(X,meet(Y,meet(X,Z)))).
% 10345 [para:10334.1.1,9151.1.1.2,demod:9227,9125,9168,9122] equal(meet(X,Y),meet(X,meet(Y,join(X,Y)))).
% 10352 [para:9123.1.1,10345.1.2.2,demod:9243] equal(meet(X,Y),meet(X,meet(Y,join(Y,X)))).
% 10354 [para:10345.1.2,9125.1.1.1,demod:9125] equal(meet(X,meet(Y,Z)),meet(X,meet(Y,meet(join(X,Y),Z)))).
% 10355 [para:9125.1.1,10345.1.2.2] equal(meet(X,meet(Y,Z)),meet(X,meet(Y,meet(Z,join(X,meet(Y,Z)))))).
% 10377 [para:9129.1.1,10352.1.2.2.2,demod:10355,9230,10354,10352,9243,9784,9125] equal(meet(X,meet(Y,Z)),meet(X,meet(Z,Y))).
% 10387 [para:10377.1.1,9123.1.1,demod:9125] equal(meet(X,meet(Y,Z)),meet(Z,meet(Y,X))).
% 10403 [para:10079.1.1,10377.1.1.2] equal(meet(X,meet(join(Y,Z),U)),meet(X,meet(U,join(Z,Y)))).
% 10412 [para:10387.1.1,9123.1.1,demod:9125] equal(meet(X,meet(Y,Z)),meet(Y,meet(X,Z))).
% 10801 [para:9375.1.1,9128.1.1.1,demod:9375,10337,9125,9178] equal(meet(X,meet(join(Y,Z),join(Y,X))),meet(X,join(Y,Z))).
% 11029 [para:9151.1.1,9402.1.1.2.2,demod:10335,10345,9199,9125] equal(join(X,meet(Y,Z)),join(meet(Y,Z),join(X,meet(Z,Y)))).
% 11151 [para:9125.1.1,9153.1.1.2] equal(join(meet(X,Y),meet(Z,meet(U,join(Y,X)))),meet(join(Y,X),join(meet(Z,U),meet(Y,X)))).
% 11369 [para:9151.1.1,9407.1.1.2.2,demod:11029,10335,10345,9199,9125] equal(join(X,meet(Y,Z)),join(X,meet(Z,Y))).
% 11497 [para:11369.1.1,9127.1.1.1.2,demod:9127] equal(meet(X,join(Y,meet(Z,U))),meet(X,join(Y,meet(U,Z)))).
% 12107 [para:9156.1.1,10377.1.1.2] equal(meet(X,meet(join(Y,Z),join(U,meet(Y,Z)))),meet(X,meet(join(U,meet(Z,Y)),join(Z,Y)))).
% 15834 [para:9220.1.1,9164.1.1.1.2.2,demod:11151,9358,9261,9372,12107,10335,9125,9193,9158] equal(meet(X,meet(join(Y,X),join(Z,meet(X,Y)))),meet(join(X,Y),join(meet(Z,X),meet(X,Y)))).
% 19107 [para:10412.1.1,9177.1.1.2,demod:11151,10335] equal(meet(join(X,Y),join(meet(Y,Z),meet(X,Y))),meet(Y,meet(join(X,Y),join(Z,meet(Y,X))))).
% 20132 [para:9169.1.2,10162.1.1.1,demod:9215,19107,9125] equal(meet(X,meet(join(Y,X),join(Z,meet(X,Y)))),join(meet(Y,X),meet(X,Z))).
% 22214 [para:9185.1.1,9177.1.1.1.2,demod:9812,9261,20132,15834,9158,9121,9361,10335,9125,10352,9243,9784,9333] equal(join(meet(X,Y),meet(Y,Z)),meet(Y,meet(join(Y,X),join(Z,meet(Y,X))))).
% 24761 [para:9156.1.1,10403.1.2.2] equal(meet(X,meet(join(meet(Y,Z),U),join(Y,Z))),meet(X,meet(join(Z,Y),join(U,meet(Z,Y))))).
% 31198 [para:9169.1.2,10801.1.1.2.2,demod:22214,24761,10337] equal(join(meet(X,Y),meet(Y,Z)),meet(Y,join(meet(X,Y),Z))).
% 35101 [para:11497.1.1,9150.1.1,demod:31198,cut:10151] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1879
% derived clauses: 3943736
% kept clauses: 34134
% kept size sum: 899500
% kept mid-nuclei: 0
% kept new demods: 14492
% forw unit-subs: 808306
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 313
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 101.7
% process. runtime: 101.5
% 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/LAT022-1+eq_r.in")
%
%------------------------------------------------------------------------------