TSTP Solution File: LAT043-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : LAT043-1 : TPTP v3.4.2. Released v2.5.0.
% 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/LAT043-1+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 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 ****
%
%
% timer checkpoints: c(14,40,1,28,0,1,94,50,6,108,0,6)
%
%
% START OF PROOF
% 96 [] equal(meet(X,X),X).
% 98 [] equal(meet(X,join(X,Y)),X).
% 99 [] equal(join(X,meet(X,Y)),X).
% 100 [] equal(meet(X,Y),meet(Y,X)).
% 101 [] equal(join(X,Y),join(Y,X)).
% 102 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 103 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 104 [] equal(meet(X,join(Y,Z)),join(meet(X,Y),meet(X,Z))).
% 105 [] equal(join(complement(X),X),n1).
% 106 [] equal(meet(complement(X),X),n0).
% 107 [] equal(complement(complement(X)),X).
% 108 [] -equal(complement(join(c,d)),meet(complement(c),complement(d))).
% 109 [para:107.1.1,105.1.1.1] equal(join(X,complement(X)),n1).
% 110 [para:107.1.1,106.1.1.1] equal(meet(X,complement(X)),n0).
% 111 [?] ?
% 112 [para:109.1.1,98.1.1.2] equal(meet(X,n1),X).
% 115 [para:110.1.1,99.1.1.2] equal(join(X,n0),X).
% 119 [para:100.1.1,108.1.2] -equal(complement(join(c,d)),meet(complement(d),complement(c))).
% 120 [para:100.1.1,98.1.1] equal(meet(join(X,Y),X),X).
% 121 [para:100.1.1,112.1.1] equal(meet(n1,X),X).
% 123 [para:121.1.1,98.1.1] equal(join(n1,X),n1).
% 125 [para:101.1.1,98.1.1.2] equal(meet(X,join(Y,X)),X).
% 126 [para:101.1.1,99.1.1] equal(join(meet(X,Y),X),X).
% 127 [para:101.1.1,115.1.1] equal(join(n0,X),X).
% 129 [para:101.1.1,119.1.1.1] -equal(complement(join(d,c)),meet(complement(d),complement(c))).
% 131 [para:102.1.1,96.1.1] equal(meet(X,meet(Y,meet(X,Y))),meet(X,Y)).
% 136 [para:102.1.1,100.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 141 [para:101.1.1,120.1.1.1] equal(meet(join(X,Y),Y),Y).
% 146 [para:105.1.1,103.1.1.1,demod:123] equal(n1,join(complement(X),join(X,Y))).
% 155 [para:99.1.1,125.1.1.2,demod:102] equal(meet(X,meet(Y,X)),meet(X,Y)).
% 163 [para:106.1.1,104.1.2.1,demod:127] equal(meet(complement(X),join(X,Y)),meet(complement(X),Y)).
% 164 [para:106.1.1,104.1.2.2,demod:115] equal(meet(complement(X),join(Y,X)),meet(complement(X),Y)).
% 165 [para:110.1.1,104.1.2.1,demod:127] equal(meet(X,join(complement(X),Y)),meet(X,Y)).
% 172 [para:120.1.1,104.1.2.1] equal(meet(join(X,Y),join(X,Z)),join(X,meet(join(X,Y),Z))).
% 187 [para:131.1.1,104.1.2.2,demod:104,155] equal(meet(X,join(Y,meet(Z,X))),meet(X,join(Y,Z))).
% 191 [para:126.1.1,146.1.2.2] equal(n1,join(complement(meet(X,Y)),X)).
% 212 [para:191.1.2,101.1.1] equal(n1,join(X,complement(meet(X,Y)))).
% 238 [para:136.1.2,141.1.1,demod:187] equal(meet(X,meet(Y,join(Z,X))),meet(X,Y)).
% 277 [para:165.1.1,100.1.1] equal(meet(X,Y),meet(join(complement(X),Y),X)).
% 283 [para:107.1.1,277.1.2.1.1] equal(meet(complement(X),Y),meet(join(X,Y),complement(X))).
% 396 [para:212.1.2,163.1.1.2,demod:111] equal(complement(X),meet(complement(X),complement(meet(X,Y)))).
% 402 [para:396.1.2,100.1.1] equal(complement(X),meet(complement(meet(X,Y)),complement(X))).
% 428 [para:120.1.1,402.1.2.1.1] equal(complement(join(X,Y)),meet(complement(X),complement(join(X,Y)))).
% 554 [para:277.1.2,172.1.2.2,demod:112,105] equal(join(complement(X),Y),join(complement(X),meet(X,Y))).
% 725 [para:554.1.2,164.1.1.2,demod:402] equal(meet(complement(meet(X,Y)),join(complement(X),Y)),complement(X)).
% 809 [para:725.1.1,238.1.1.2] equal(meet(X,complement(Y)),meet(X,complement(meet(Y,X)))).
% 812 [para:100.1.1,809.1.2.2.1] equal(meet(X,complement(Y)),meet(X,complement(meet(X,Y)))).
% 816 [para:283.1.2,809.1.2.2.1,demod:812,428,slowcut:129] 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***
%
% Global statistics over all passes:
%
% given clauses: 246
% derived clauses: 30157
% kept clauses: 772
% kept size sum: 10503
% kept mid-nuclei: 0
% kept new demods: 571
% forw unit-subs: 22173
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 9
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.31
% process. runtime: 0.29
% 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/LAT043-1+eq_r.in")
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