TSTP Solution File: LAT032-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : LAT032-1 : 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 : art08.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/LAT032-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
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% 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(11,40,0,22,0,0,92,50,4,103,0,4)
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%
% START OF PROOF
% 96 [] equal(meet(X,join(X,Y)),X).
% 97 [] equal(join(X,meet(X,Y)),X).
% 98 [] equal(meet(X,Y),meet(Y,X)).
% 99 [] equal(join(X,Y),join(Y,X)).
% 100 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 102 [] equal(join(X,meet(Y,Z)),meet(join(X,Y),join(X,Z))).
% 103 [] -equal(meet(xx,join(yy,zz)),join(meet(xx,yy),meet(xx,zz))).
% 108 [para:99.1.1,96.1.1.2] equal(meet(X,join(Y,X)),X).
% 109 [para:99.1.1,97.1.1] equal(join(meet(X,Y),X),X).
% 110 [para:99.1.1,102.1.2.1] equal(join(X,meet(Y,Z)),meet(join(Y,X),join(X,Z))).
% 111 [para:99.1.1,102.1.2.2] equal(join(X,meet(Y,Z)),meet(join(X,Y),join(Z,X))).
% 117 [para:98.1.1,103.1.1] -equal(meet(join(yy,zz),xx),join(meet(xx,yy),meet(xx,zz))).
% 122 [para:109.1.1,102.1.2.1] equal(join(meet(X,Y),meet(X,Z)),meet(X,join(meet(X,Y),Z))).
% 132 [para:96.1.1,100.1.1.1] equal(meet(X,Y),meet(X,meet(join(X,Z),Y))).
% 138 [para:108.1.1,100.1.1.1] equal(meet(X,Y),meet(X,meet(join(Z,X),Y))).
% 220 [para:110.1.2,132.1.2.2] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(X,Z)))).
% 238 [para:109.1.1,111.1.2.1,demod:220,122] equal(meet(X,join(meet(X,Y),Z)),meet(X,join(Z,Y))).
% 244 [para:111.1.2,138.1.2.2,demod:220] equal(meet(X,join(Y,Z)),meet(X,join(Z,Y))).
% 252 [para:98.1.1,117.1.1,demod:238,122,cut:244] 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 4
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
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% Global statistics over all passes:
%
% given clauses: 123
% derived clauses: 6894
% kept clauses: 218
% kept size sum: 2830
% kept mid-nuclei: 0
% kept new demods: 142
% forw unit-subs: 4182
% 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 : 0.7
% process. runtime: 0.6
% 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/LAT032-1+eq_r.in")
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