TSTP Solution File: LAT243-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT243-1 : 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 : art01.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 49.6s
% Output : Assurance 49.6s
% 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/LAT243-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
%
% strategies selected:
% (hyper 30 #f 6 5)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 6 5)
% (binary-posweight-lex-big-order 30 #f 6 5)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(15,40,0,30,0,0,24456,4,2268,25385,5,3001,25385,1,3001,25385,50,3003,25385,40,3003,25400,0,3003,37697,3,3604,40034,4,3904,42039,5,4204,42040,5,4204,42040,1,4204,42040,50,4205,42040,40,4205,42055,0,4205,61361,3,4815,67698,4,5107,73613,5,5406,73615,1,5406,73615,50,5408,73615,40,5408,73630,0,5408)
%
%
% START OF PROOF
% 73616 [] equal(X,X).
% 73617 [] equal(meet(X,X),X).
% 73618 [] equal(join(X,X),X).
% 73619 [] equal(meet(X,join(X,Y)),X).
% 73620 [] equal(join(X,meet(X,Y)),X).
% 73621 [] equal(meet(X,Y),meet(Y,X)).
% 73622 [] equal(join(X,Y),join(Y,X)).
% 73623 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 73624 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 73625 [] equal(join(X,complement(X)),one).
% 73626 [] equal(meet(X,complement(X)),zero).
% 73627 [] -equal(join(X,Y),one) | -equal(meet(X,Y),zero) | equal(complement(X),Y).
% 73628 [] equal(meet(X,join(Y,meet(X,join(Y,Z)))),meet(X,join(Y,meet(join(X,Y),join(Z,meet(X,Y)))))).
% 73629 [] equal(meet(b,a),a).
% 73630 [] -equal(join(complement(b),complement(a)),complement(a)).
% 73633 [para:73626.1.1,73620.1.1.2] equal(join(X,zero),X).
% 73635 [para:73621.1.1,73626.1.1] equal(meet(complement(X),X),zero).
% 73636 [para:73621.1.1,73619.1.1] equal(meet(join(X,Y),X),X).
% 73638 [para:73621.1.1,73620.1.1.2] equal(join(X,meet(Y,X)),X).
% 73642 [para:73622.1.1,73630.1.1] -equal(join(complement(a),complement(b)),complement(a)).
% 73643 [para:73622.1.1,73619.1.1.2] equal(meet(X,join(Y,X)),X).
% 73644 [para:73622.1.1,73620.1.1] equal(join(meet(X,Y),X),X).
% 73646 [para:73622.1.1,73633.1.1] equal(join(zero,X),X).
% 73649 [para:73646.1.1,73619.1.1.2] equal(meet(zero,X),zero).
% 73652 [para:73617.1.1,73623.1.1.1] equal(meet(X,Y),meet(X,meet(X,Y))).
% 73657 [para:73619.1.1,73623.1.1.1] equal(meet(X,Y),meet(X,meet(join(X,Z),Y))).
% 73659 [para:73623.1.1,73621.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 73663 [para:73635.1.1,73623.1.1.1,demod:73649] equal(zero,meet(complement(X),meet(X,Y))).
% 73664 [para:73636.1.1,73620.1.1.2,demod:73624] equal(join(X,join(Y,X)),join(X,Y)).
% 73665 [para:73622.1.1,73636.1.1.1] equal(meet(join(X,Y),Y),Y).
% 73667 [para:73638.1.1,73622.1.1] equal(X,join(meet(Y,X),X)).
% 73668 [para:73623.1.1,73638.1.1.2] equal(join(X,meet(Y,meet(Z,X))),X).
% 73669 [para:73618.1.1,73624.1.1.1] equal(join(X,Y),join(X,join(X,Y))).
% 73670 [para:73624.1.1,73625.1.1] equal(join(X,join(Y,complement(join(X,Y)))),one).
% 73673 [para:73624.1.1,73620.1.1] equal(join(X,join(Y,meet(join(X,Y),Z))),join(X,Y)).
% 73681 [para:73624.1.1,73636.1.1.1] equal(meet(join(X,join(Y,Z)),join(X,Y)),join(X,Y)).
% 73686 [para:73643.1.1,73623.1.1.1] equal(meet(X,Y),meet(X,meet(join(Z,X),Y))).
% 73692 [para:73623.1.1,73667.1.2.1] equal(X,join(meet(Y,meet(Z,X)),X)).
% 73719 [para:73622.1.1,73628.1.2.2] equal(meet(X,join(Y,meet(X,join(Y,Z)))),meet(X,join(meet(join(X,Y),join(Z,meet(X,Y))),Y))).
% 73720 [para:73622.1.1,73628.1.2.2.2.1] equal(meet(X,join(Y,meet(X,join(Y,Z)))),meet(X,join(Y,meet(join(Y,X),join(Z,meet(X,Y)))))).
% 73721 [para:73622.1.1,73628.1.2.2.2.2] equal(meet(X,join(Y,meet(X,join(Y,Z)))),meet(X,join(Y,meet(join(X,Y),join(meet(X,Y),Z))))).
% 73723 [para:73636.1.1,73628.1.2.2.2.2.2,demod:73664,73624] equal(meet(join(X,Y),join(X,meet(join(X,Y),join(X,Z)))),meet(join(X,Y),join(X,meet(join(X,Y),join(Z,X))))).
% 73726 [para:73665.1.1,73628.1.2.2.2.2.2,demod:73618,73624] equal(meet(join(X,Y),join(Y,meet(join(X,Y),join(Y,Z)))),meet(join(X,Y),join(Y,meet(join(X,Y),join(Z,Y))))).
% 73756 [para:73629.1.1,73663.1.2.2] equal(zero,meet(complement(b),a)).
% 73762 [para:73756.1.2,73621.1.1] equal(zero,meet(a,complement(b))).
% 73768 [para:73762.1.2,73628.1.2.2.2.2.2,demod:73633] equal(meet(a,join(complement(b),meet(a,join(complement(b),X)))),meet(a,join(complement(b),meet(join(a,complement(b)),X)))).
% 73884 [para:73665.1.1,73659.1.1.2] equal(meet(X,Y),meet(Y,meet(X,join(Z,Y)))).
% 74007 [para:73619.1.1,73668.1.1.2.2,demod:73624] equal(join(X,join(Y,meet(Z,X))),join(X,Y)).
% 74054 [para:73643.1.1,73692.1.2.1.2] equal(join(X,Y),join(meet(Z,Y),join(X,Y))).
% 74077 [para:73670.1.1,73627.1.1,cut:73616] -equal(meet(X,join(Y,complement(join(X,Y)))),zero) | equal(complement(X),join(Y,complement(join(X,Y)))).
% 74149 [para:73673.1.1,73665.1.1.1] equal(meet(join(X,Y),join(Y,meet(join(X,Y),Z))),join(Y,meet(join(X,Y),Z))).
% 74381 [para:73644.1.1,73681.1.1.1] equal(meet(join(X,Y),join(meet(join(X,Y),Z),X)),join(meet(join(X,Y),Z),X)).
% 74566 [para:73664.1.1,73686.1.2.2.1] equal(meet(join(X,Y),Z),meet(join(X,Y),meet(join(Y,X),Z))).
% 75472 [para:73636.1.1,73719.1.2.2.1.2.2,demod:74381,73664,73624] equal(meet(join(X,Y),join(X,meet(join(X,Y),join(X,Z)))),join(meet(join(X,Y),join(Z,X)),X)).
% 75516 [para:73636.1.1,73720.1.2.2.2.2.2,demod:73669,75472] equal(join(meet(join(X,Y),join(Z,X)),X),meet(join(X,Y),join(X,meet(join(X,Y),join(Z,X))))).
% 75517 [para:73665.1.1,73720.1.2.2.2.2.2,demod:73664,74149] equal(join(X,meet(join(Y,X),join(X,Z))),meet(join(Y,X),join(X,meet(join(X,Y),join(Z,X))))).
% 75644 [para:73621.1.1,73723.1.2.2.2,demod:75472] equal(join(meet(join(X,Y),join(Z,X)),X),meet(join(X,Y),join(X,meet(join(Z,X),join(X,Y))))).
% 75648 [para:73622.1.1,73723.1.2.1,demod:75517,75472] equal(join(meet(join(X,Y),join(Z,X)),X),join(X,meet(join(Y,X),join(X,Z)))).
% 76220 [para:73723.1.1,73884.1.2.2,demod:75644,73623,75648,75516,73652] equal(meet(join(X,Y),join(X,Z)),join(X,meet(join(Y,X),join(X,Z)))).
% 76345 [para:74007.1.1,73726.1.1.2.2.2,demod:74149,73667,73624,74566,76220] equal(meet(join(X,Y),join(Y,Z)),join(Y,meet(join(X,Y),join(Z,Y)))).
% 76601 [para:74054.1.2,73721.1.2.2.2.2,demod:73657,76345,73664] equal(meet(X,join(Y,meet(X,join(Y,Z)))),meet(X,join(Y,Z))).
% 77870 [para:73626.1.1,73768.1.2.2.2,demod:73762,73633,76601,binarydemod:74077] equal(complement(a),join(complement(b),complement(join(a,complement(b))))).
% 78544 [para:77870.1.2,73619.1.1.2] equal(meet(complement(b),complement(a)),complement(b)).
% 78594 [para:78544.1.1,73638.1.1.2,cut:73642] 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 5
% clause depth limited to 6
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 3073
% derived clauses: 1561945
% kept clauses: 63514
% kept size sum: 85304
% kept mid-nuclei: 4006
% kept new demods: 51200
% forw unit-subs: 1364573
% forw double-subs: 22591
% forw overdouble-subs: 6589
% backward subs: 43
% fast unit cutoff: 2012
% full unit cutoff: 12
% dbl unit cutoff: 190
% real runtime : 56.27
% process. runtime: 55.81
% specific non-discr-tree subsumption statistics:
% tried: 16184
% length fails: 702
% strength fails: 0
% predlist fails: 3592
% aux str. fails: 1002
% by-lit fails: 0
% full subs tried: 10672
% full subs fail: 4093
%
% ; 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/LAT243-1+eq_r.in")
%
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