TSTP Solution File: LAT142-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : LAT142-1 : 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 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/LAT142-1+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 6 1)
% (binary-posweight-lex-big-order 30 #f 6 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)
%
%
% START OF PROOF
% 12 [] equal(X,X).
% 14 [] equal(join(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(join(meet(X,Y),meet(X,Z)),meet(X,join(meet(Y,join(Z,meet(X,Y))),meet(Z,join(X,Y))))).
% 22 [] -equal(meet(a,join(b,meet(a,c))),meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b))))).
% 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).
% 31 [para:18.1.1,15.1.1.2] equal(meet(X,join(Y,X)),X).
% 32 [para:18.1.1,16.1.1] equal(join(meet(X,Y),X),X).
% 34 [para:18.1.1,22.1.2.2] -equal(meet(a,join(b,meet(a,c))),meet(a,join(meet(c,join(a,b)),meet(a,join(b,meet(a,c)))))).
% 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)).
% 52 [para:15.1.1,19.1.1.1] equal(meet(X,Y),meet(X,meet(join(X,Z),Y))).
% 54 [para:19.1.1,17.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 57 [para:23.1.1,19.1.1.1] equal(meet(X,Y),meet(join(X,Z),meet(X,Y))).
% 58 [para:19.1.1,24.1.1.2] equal(join(X,meet(Y,meet(Z,X))),X).
% 59 [para:16.1.1,31.1.1.2,demod:19] equal(meet(X,meet(Y,X)),meet(X,Y)).
% 62 [para:23.1.1,32.1.1.1] equal(join(X,join(X,Y)),join(X,Y)).
% 66 [para:37.1.1,31.1.1.2] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 67 [para:20.1.1,15.1.1.2] equal(meet(join(X,Y),join(X,join(Y,Z))),join(X,Y)).
% 70 [para:20.1.1,18.1.1] equal(join(X,join(Y,Z)),join(Z,join(X,Y))).
% 72 [para:18.1.1,20.1.1.1,demod:20] equal(join(X,join(Y,Z)),join(Y,join(X,Z))).
% 73 [para:20.1.1,23.1.1.1] equal(meet(join(X,join(Y,Z)),join(X,Y)),join(X,Y)).
% 76 [para:20.1.1,31.1.1.2] 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).
% 81 [para:20.1.1,37.1.1.2] equal(join(X,join(Y,join(Z,X))),join(X,join(Y,Z))).
% 93 [para:59.1.1,58.1.1.2.2] equal(join(meet(X,Y),meet(Z,meet(Y,X))),meet(X,Y)).
% 102 [para:15.1.1,21.1.2.2.1.2.2,demod:62,16,15] equal(X,meet(X,join(meet(join(X,Y),join(Z,X)),meet(Z,join(X,Y))))).
% 107 [para:17.1.1,21.1.2.2.2] equal(join(meet(X,Y),meet(X,Z)),meet(X,join(meet(Y,join(Z,meet(X,Y))),meet(join(X,Y),Z)))).
% 116 [para:38.1.1,21.1.2.2.1.2.2,demod:14,20,31,38] equal(join(X,meet(join(Y,X),Z)),meet(join(Y,X),join(X,meet(Z,join(Y,X))))).
% 130 [para:16.1.1,76.1.1.2.2,demod:19] equal(meet(X,meet(Y,join(Z,X))),meet(X,Y)).
% 137 [para:76.1.1,21.1.2.2.2,demod:37,20,116] equal(join(meet(X,join(Y,Z)),meet(X,Z)),meet(X,join(Z,meet(join(Y,Z),X)))).
% 140 [para:24.1.1,78.1.1.1.2] equal(meet(join(X,Y),meet(Z,Y)),meet(Z,Y)).
% 184 [para:17.1.1,52.1.2.2] equal(meet(X,Y),meet(X,meet(Y,join(X,Z)))).
% 206 [para:54.1.1,38.1.1] equal(meet(X,meet(join(Y,meet(Z,X)),Z)),meet(Z,X)).
% 240 [para:20.1.1,57.1.2.1] equal(meet(join(X,Y),Z),meet(join(X,join(Y,U)),meet(join(X,Y),Z))).
% 258 [para:18.1.1,34.1.2.2.1.2] -equal(meet(a,join(b,meet(a,c))),meet(a,join(meet(c,join(b,a)),meet(a,join(b,meet(a,c)))))).
% 269 [para:66.1.1,54.1.1.2] equal(meet(X,join(Y,Z)),meet(join(Z,Y),meet(X,join(Y,Z)))).
% 282 [para:70.1.1,31.1.1.2] equal(meet(join(X,Y),join(Y,join(Z,X))),join(X,Y)).
% 308 [para:72.1.1,32.1.1] equal(join(X,join(meet(join(X,Y),Z),Y)),join(X,Y)).
% 440 [para:37.1.1,130.1.1.2.2,demod:269] equal(meet(X,join(Y,Z)),meet(join(Z,Y),X)).
% 549 [para:184.1.2,24.1.1.2] equal(join(meet(X,join(Y,Z)),meet(Y,X)),meet(X,join(Y,Z))).
% 1039 [para:39.1.2,73.1.1.1] equal(meet(join(X,Y),join(meet(Z,join(X,Y)),X)),join(meet(Z,join(X,Y)),X)).
% 1516 [para:206.1.1,93.1.1.2] equal(join(meet(X,join(Y,meet(X,Z))),meet(X,Z)),meet(X,join(Y,meet(X,Z)))).
% 1743 [para:102.1.2,140.1.1.2,demod:31,52,549] equal(meet(join(X,meet(join(Y,Z),join(U,Y))),Y),Y).
% 3231 [para:17.1.1,1743.1.1.1.2] equal(meet(join(X,meet(join(Y,Z),join(Z,U))),Z),Z).
% 4100 [para:3231.1.1,308.1.1.2.1] equal(join(X,join(Y,meet(join(Z,Y),join(Y,U)))),join(X,meet(join(Z,Y),join(Y,U)))).
% 5748 [para:67.1.1,137.1.1.1,demod:282,81,73,4100,20] equal(join(X,meet(join(X,Y),join(Y,Z))),join(X,Y)).
% 5823 [para:5748.1.1,18.1.1] equal(join(X,Y),join(meet(join(X,Y),join(Y,Z)),X)).
% 5829 [para:5748.1.1,21.1.2.2.1.2,demod:1039,15,62,20,5823,23] equal(join(X,Y),join(meet(join(Y,Z),join(X,Y)),X)).
% 6172 [para:39.1.2,5829.1.2.1.1] equal(join(X,meet(Y,Z)),join(meet(Z,join(X,meet(Y,Z))),X)).
% 10937 [para:240.1.2,107.1.2.2.2,demod:6172,52] equal(join(meet(X,join(Y,Z)),meet(X,U)),meet(X,join(meet(join(X,Y),U),meet(X,join(Y,Z))))).
% 12857 [para:440.1.1,258.1.2.2.1,demod:1516,10937,cut:12] 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 6
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 379
% derived clauses: 181532
% kept clauses: 12834
% kept size sum: 301841
% kept mid-nuclei: 0
% kept new demods: 11213
% forw unit-subs: 138439
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 9.65
% process. runtime: 9.25
% 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/LAT142-1+eq_r.in")
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