%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT146-1 : 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 : art04.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 49.4s
% Output : Assurance 49.4s
% 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/LAT146-1+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 7 1)
% (binary-posweight-lex-big-order 30 #f 7 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(11,40,0,22,0,0,37919,3,3033,49286,4,4523)
%
%
% START OF PROOF
% 13 [] equal(meet(X,X),X).
% 15 [] equal(meet(X,join(X,Y)),X).
% 16 [] equal(join(X,meet(X,Y)),X).
% 17 [] equal(meet(X,Y),meet(Y,X)).
% 18 [] equal(join(X,Y),join(Y,X)).
% 19 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 20 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 21 [] equal(meet(X,join(Y,meet(Z,U))),meet(X,join(Y,meet(Z,join(Y,meet(U,join(Y,Z))))))).
% 22 [] -equal(meet(a,join(b,meet(a,meet(c,d)))),meet(a,join(b,meet(c,meet(d,join(a,meet(b,d))))))).
% 23 [para:17.1.1,15.1.1] equal(meet(join(X,Y),X),X).
% 24 [para:17.1.1,16.1.1.2] equal(join(X,meet(Y,X)),X).
% 25 [para:17.1.1,22.1.1] -equal(meet(join(b,meet(a,meet(c,d))),a),meet(a,join(b,meet(c,meet(d,join(a,meet(b,d))))))).
% 32 [para:18.1.1,15.1.1.2] equal(meet(X,join(Y,X)),X).
% 33 [para:18.1.1,16.1.1] equal(join(meet(X,Y),X),X).
% 37 [para:23.1.1,16.1.1.2,demod:20] equal(join(X,join(Y,X)),join(X,Y)).
% 38 [para:18.1.1,23.1.1.1] equal(meet(join(X,Y),Y),Y).
% 39 [para:24.1.1,18.1.1] equal(X,join(meet(Y,X),X)).
% 40 [para:17.1.1,25.1.1.1.2,demod:19] -equal(meet(join(b,meet(c,meet(d,a))),a),meet(a,join(b,meet(c,meet(d,join(a,meet(b,d))))))).
% 50 [para:13.1.1,19.1.1.1] equal(meet(X,Y),meet(X,meet(X,Y))).
% 54 [para:19.1.1,17.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 56 [para:17.1.1,19.1.1.1,demod:19] equal(meet(X,meet(Y,Z)),meet(Y,meet(X,Z))).
% 58 [para:19.1.1,24.1.1.2] equal(join(X,meet(Y,meet(Z,X))),X).
% 59 [para:16.1.1,32.1.1.2,demod:19] equal(meet(X,meet(Y,X)),meet(X,Y)).
% 60 [para:32.1.1,19.1.1] equal(meet(X,Y),meet(X,meet(Y,join(Z,meet(X,Y))))).
% 61 [para:32.1.1,19.1.1.1] equal(meet(X,Y),meet(X,meet(join(Z,X),Y))).
% 62 [para:23.1.1,33.1.1.1] equal(join(X,join(X,Y)),join(X,Y)).
% 64 [para:38.1.1,19.1.1.1] equal(meet(X,Y),meet(join(Z,X),meet(X,Y))).
% 66 [para:37.1.1,32.1.1.2] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 69 [para:16.1.1,20.1.1.1] equal(join(X,Y),join(X,join(meet(X,Z),Y))).
% 70 [para:20.1.1,18.1.1] equal(join(X,join(Y,Z)),join(Z,join(X,Y))).
% 76 [para:20.1.1,32.1.1.2] equal(meet(X,join(Y,join(Z,X))),X).
% 78 [para:20.1.1,38.1.1.1] equal(meet(join(X,join(Y,Z)),Z),Z).
% 84 [para:15.1.1,58.1.1.2.2,demod:20] equal(join(X,join(Y,meet(Z,X))),join(X,Y)).
% 87 [para:58.1.1,38.1.1.1] equal(meet(X,meet(Y,meet(Z,X))),meet(Y,meet(Z,X))).
% 90 [para:59.1.1,24.1.1.2] equal(join(meet(X,Y),meet(Y,X)),meet(X,Y)).
% 91 [para:59.1.1,19.1.1,demod:87,19] equal(meet(X,meet(Y,Z)),meet(X,meet(Z,meet(X,Y)))).
% 92 [para:59.1.1,19.1.1.1,demod:91,19] equal(meet(X,meet(Y,Z)),meet(X,meet(Z,Y))).
% 103 [para:21.1.2,13.1.1] equal(meet(join(X,meet(Y,join(X,meet(Z,join(X,Y))))),join(X,meet(Y,Z))),join(X,meet(Y,join(X,meet(Z,join(X,Y)))))).
% 104 [para:21.1.2,17.1.1] equal(meet(X,join(Y,meet(Z,U))),meet(join(Y,meet(Z,join(Y,meet(U,join(Y,Z))))),X)).
% 107 [para:18.1.1,21.1.2.2] equal(meet(X,join(Y,meet(Z,U))),meet(X,join(meet(Z,join(Y,meet(U,join(Y,Z)))),Y))).
% 110 [para:23.1.1,21.1.2.2.2.2.2,demod:32,62,20] equal(meet(X,join(Y,meet(Z,join(Y,join(Z,U))))),meet(X,join(Y,Z))).
% 112 [para:21.1.2,32.1.1,demod:19] equal(meet(X,meet(join(Y,meet(Z,join(Y,X))),join(Y,meet(X,Z)))),meet(X,join(Y,meet(Z,join(Y,X))))).
% 128 [para:16.1.1,76.1.1.2.2,demod:19] equal(meet(X,meet(Y,join(Z,X))),meet(X,Y)).
% 129 [para:18.1.1,76.1.1.2,demod:20] equal(meet(X,join(Y,join(X,Z))),X).
% 134 [para:76.1.1,21.1.2.2.2.2.2,demod:38] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(join(U,Z),join(Y,Z))))).
% 139 [para:37.1.1,78.1.1.1.2] equal(meet(join(X,join(Y,Z)),join(Z,Y)),join(Z,Y)).
% 190 [para:17.1.1,54.1.2.2] equal(meet(X,meet(Y,Z)),meet(Z,meet(Y,X))).
% 262 [para:37.1.1,61.1.2.2.1] equal(meet(join(X,Y),Z),meet(join(X,Y),meet(join(Y,X),Z))).
% 275 [para:37.1.1,64.1.2.1,demod:262] equal(meet(join(X,Y),Z),meet(join(Y,X),Z)).
% 282 [para:66.1.1,54.1.1.2] equal(meet(X,join(Y,Z)),meet(join(Z,Y),meet(X,join(Y,Z)))).
% 288 [para:69.1.2,21.1.2.2.2.2.2.2] equal(meet(X,join(Y,meet(join(meet(Y,Z),U),V))),meet(X,join(Y,meet(join(meet(Y,Z),U),join(Y,meet(V,join(Y,U))))))).
% 292 [para:69.1.2,61.1.2.2.1] equal(meet(join(meet(X,Y),Z),U),meet(join(meet(X,Y),Z),meet(join(X,Z),U))).
% 303 [para:70.1.1,39.1.2] equal(join(X,Y),join(Y,join(meet(Z,join(X,Y)),X))).
% 372 [para:56.1.1,40.1.2.2.2] -equal(meet(join(b,meet(c,meet(d,a))),a),meet(a,join(b,meet(d,meet(c,join(a,meet(b,d))))))).
% 381 [para:84.1.1,38.1.1.1] equal(meet(join(X,Y),join(Y,meet(Z,X))),join(Y,meet(Z,X))).
% 383 [para:59.1.1,84.1.1.2.2] equal(join(meet(X,Y),join(Z,meet(Y,X))),join(meet(X,Y),Z)).
% 418 [para:90.1.1,70.1.1.2,demod:383] equal(join(X,meet(Y,Z)),join(meet(Z,Y),X)).
% 476 [para:37.1.1,128.1.1.2.2,demod:282] equal(meet(X,join(Y,Z)),meet(join(Z,Y),X)).
% 657 [para:66.1.1,190.1.2.2,demod:262] equal(meet(join(X,Y),Z),meet(Z,join(Y,X))).
% 704 [para:275.1.1,54.1.2] equal(meet(X,meet(Y,join(Z,U))),meet(join(U,Z),meet(X,Y))).
% 862 [para:92.1.1,418.1.1.2,demod:19] equal(join(X,meet(Y,meet(Z,U))),join(meet(U,meet(Z,Y)),X)).
% 902 [para:476.1.1,21.1.2] equal(meet(X,join(Y,meet(Z,U))),meet(join(meet(Z,join(Y,meet(U,join(Y,Z)))),Y),X)).
% 1008 [para:60.1.2,61.1.2.2,demod:61] equal(meet(X,meet(Y,join(Z,meet(join(U,X),Y)))),meet(X,Y)).
% 2190 [para:303.1.2,139.1.1.1] equal(meet(join(X,Y),join(X,meet(Z,join(X,Y)))),join(X,meet(Z,join(X,Y)))).
% 2325 [para:129.1.1,104.1.2.1.2.2.2,demod:23] equal(meet(X,join(Y,Z)),meet(join(Y,meet(join(Z,U),join(Y,Z))),X)).
% 2635 [para:107.1.2,13.1.1,demod:13,902] equal(join(X,meet(Y,Z)),join(meet(Y,join(X,meet(Z,join(X,Y)))),X)).
% 3019 [para:110.1.1,103.1.1.1.2,demod:129,13,2325,23] equal(join(X,Y),join(X,meet(join(Y,Z),join(X,Y)))).
% 3022 [para:3019.1.2,18.1.1] equal(join(X,Y),join(meet(join(Y,Z),join(X,Y)),X)).
% 3023 [para:18.1.1,3019.1.2.2.1] equal(join(X,Y),join(X,meet(join(Z,Y),join(X,Y)))).
% 3189 [para:107.1.2,3022.1.2.1,demod:2635] equal(join(X,meet(Y,Z)),join(meet(join(X,U),join(X,meet(Y,Z))),meet(Y,join(X,meet(Z,join(X,Y)))))).
% 3238 [para:3023.1.2,104.1.2.1.2.2.2.2,demod:2190,19] equal(meet(X,join(Y,meet(join(Z,U),meet(join(Y,U),V)))),meet(join(Y,meet(join(Z,U),join(Y,meet(V,join(Y,U))))),X)).
% 3611 [para:112.1.1,24.1.1.2,demod:3189] equal(join(X,meet(Y,Z)),meet(join(X,meet(Z,join(X,Y))),join(X,meet(Y,Z)))).
% 3614 [para:112.1.1,50.1.2.2,demod:50,3611] equal(meet(X,join(Y,meet(X,Z))),meet(X,join(Y,meet(Z,join(Y,X))))).
% 6443 [para:134.1.2,103.1.1.1.2.2.2,demod:3023,13,3238,2190,19] equal(join(X,meet(join(Y,Z),meet(join(X,Z),U))),join(X,meet(join(Y,Z),join(X,meet(U,join(X,Z)))))).
% 28815 [para:288.1.2,381.1.1,demod:292,6443,37,20] equal(meet(join(X,meet(Y,join(X,Z))),join(X,meet(join(meet(X,U),Z),Y))),join(X,meet(join(meet(X,U),Z),Y))).
% 43415 [para:862.1.2,657.1.1.1] equal(meet(join(X,meet(Y,meet(Z,U))),V),meet(V,join(X,meet(U,meet(Z,Y))))).
% 54176 [para:288.1.2,1008.1.1.2,demod:3614,28815] equal(meet(X,join(Y,meet(join(meet(Y,Z),X),U))),meet(X,join(Y,meet(X,U)))).
% 54207 [para:704.1.1,372.1.2.2.2,demod:54176,cut:43415] 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 7
% seconds given: 60
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 626
% derived clauses: 667242
% kept clauses: 54179
% kept size sum: 0
% kept mid-nuclei: 0
% kept new demods: 37070
% forw unit-subs: 577269
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 6
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 56.89
% process. runtime: 55.99
% 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/LAT146-1+eq_r.in")
%
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