TSTP Solution File: LAT040-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : LAT040-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art02.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 :
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%----NO SOLUTION OUTPUT BY SYSTEM
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%----ORIGINAL SYSTEM OUTPUT
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% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/LAT/LAT040-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: ueq
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% strategies selected:
% (binary-posweight-kb-big-order 60 #f 3 1)
% (binary-posweight-lex-big-order 30 #f 3 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 *********
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%
% timer checkpoints: c(14,40,1,28,0,1)
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%
% START OF PROOF
% 15 [] equal(X,X).
% 17 [] equal(join(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)).
% 23 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 24 [] equal(join(X,meet(Y,Z)),meet(join(X,Y),join(X,Z))).
% 26 [] equal(join(xx,yy),join(xx,zz)).
% 27 [] equal(meet(xx,yy),meet(xx,zz)).
% 28 [] -equal(yy,zz).
% 29 [para:17.1.1,24.1.2.2] equal(join(X,meet(Y,X)),meet(join(X,Y),X)).
% 30 [para:20.1.1,18.1.1] equal(meet(join(X,Y),X),X).
% 32 [para:21.1.1,18.1.1.2] equal(meet(X,join(Y,X)),X).
% 34 [para:21.1.1,24.1.2.2] equal(join(X,meet(Y,Z)),meet(join(X,Y),join(Z,X))).
% 37 [para:21.1.1,30.1.1.1] equal(meet(join(X,Y),Y),Y).
% 40 [para:26.1.2,21.1.1] equal(join(xx,yy),join(zz,xx)).
% 49 [para:26.1.2,37.1.1.1] equal(meet(join(xx,yy),zz),zz).
% 50 [para:27.1.2,20.1.1] equal(meet(xx,yy),meet(zz,xx)).
% 60 [para:40.1.2,24.1.2.1] equal(join(zz,meet(xx,X)),meet(join(xx,yy),join(zz,X))).
% 64 [para:49.1.1,19.1.1.2,demod:23] equal(join(xx,join(yy,zz)),join(xx,yy)).
% 67 [para:50.1.2,19.1.1.2] equal(join(zz,meet(xx,yy)),zz).
% 88 [para:64.1.1,32.1.1.2,demod:30,29,50,34] equal(yy,join(yy,zz)).
% 91 [para:88.1.2,21.1.1] equal(yy,join(zz,yy)).
% 168 [para:91.1.2,60.1.2.2,demod:37,67] equal(zz,yy).
% 170 [para:168.1.1,28.1.2,cut:15] 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 3
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 85
% derived clauses: 4702
% kept clauses: 141
% kept size sum: 1441
% kept mid-nuclei: 0
% kept new demods: 118
% forw unit-subs: 2858
% 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 : 0.5
% process. runtime: 0.4
% 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/LAT040-1+eq_r.in")
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