TSTP Solution File: LAT174-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT174-1 : 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 : art06.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 287.0s
% Output : Assurance 287.0s
% 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/LAT174-1+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(11,40,1,22,0,1,35020,3,3011,46006,4,4507,53668,5,6002,53668,1,6002,53668,50,6006,53668,40,6006,53679,0,6006,75104,3,7537,83657,4,8261,92906,5,9007,92906,1,9007,92906,50,9010,92906,40,9010,92917,0,9010,93940,50,9042,93940,40,9042,93951,0,9055,228796,3,18079,307827,4,22562,403293,5,27056,403294,1,27056,403294,50,27061,403294,40,27061,403305,0,27061)
%
%
% START OF PROOF
% 403298 [] equal(meet(X,join(X,Y)),X).
% 403299 [] equal(join(X,meet(X,Y)),X).
% 403300 [] equal(meet(X,Y),meet(Y,X)).
% 403301 [] equal(join(X,Y),join(Y,X)).
% 403302 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 403303 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 403304 [] equal(join(X,meet(Y,join(Z,meet(Y,U)))),join(X,meet(Y,join(Z,meet(U,join(X,Y)))))).
% 403305 [] -equal(meet(a,join(b,meet(a,c))),meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b))))).
% 403306 [para:403300.1.1,403298.1.1] equal(meet(join(X,Y),X),X).
% 403307 [para:403300.1.1,403299.1.1.2] equal(join(X,meet(Y,X)),X).
% 403313 [para:403300.1.1,403305.1.2.2.2] -equal(meet(a,join(b,meet(a,c))),meet(a,join(meet(a,join(b,meet(a,c))),meet(join(a,b),c)))).
% 403314 [para:403301.1.1,403298.1.1.2] equal(meet(X,join(Y,X)),X).
% 403315 [para:403301.1.1,403299.1.1] equal(join(meet(X,Y),X),X).
% 403320 [para:403306.1.1,403299.1.1.2,demod:403303] equal(join(X,join(Y,X)),join(X,Y)).
% 403321 [para:403301.1.1,403306.1.1.1] equal(meet(join(X,Y),Y),Y).
% 403322 [para:403307.1.1,403301.1.1] equal(X,join(meet(Y,X),X)).
% 403341 [para:403302.1.1,403307.1.1.2] equal(join(X,meet(Y,meet(Z,X))),X).
% 403342 [para:403299.1.1,403314.1.1.2,demod:403302] equal(meet(X,meet(Y,X)),meet(X,Y)).
% 403346 [para:403302.1.1,403315.1.1.1] equal(join(meet(X,meet(Y,Z)),meet(X,Y)),meet(X,Y)).
% 403349 [para:403320.1.1,403314.1.1.2] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 403352 [para:403299.1.1,403303.1.1.1] equal(join(X,Y),join(X,join(meet(X,Z),Y))).
% 403353 [para:403303.1.1,403301.1.1] equal(join(X,join(Y,Z)),join(Z,join(X,Y))).
% 403358 [para:403307.1.1,403303.1.1.1] equal(join(X,Y),join(X,join(meet(Z,X),Y))).
% 403359 [para:403303.1.1,403314.1.1.2] equal(meet(X,join(Y,join(Z,X))),X).
% 403361 [para:403303.1.1,403321.1.1.1] equal(meet(join(X,join(Y,Z)),Z),Z).
% 403373 [para:403342.1.1,403307.1.1.2] equal(join(meet(X,Y),meet(Y,X)),meet(X,Y)).
% 403389 [para:403298.1.1,403304.1.1.2.2.2,demod:403314] equal(join(X,Y),join(X,meet(Y,join(Z,meet(join(Y,U),join(X,Y)))))).
% 403443 [para:403299.1.1,403359.1.1.2.2,demod:403302] equal(meet(X,meet(Y,join(Z,X))),meet(X,Y)).
% 403450 [para:403304.1.2,403359.1.1.2.2,demod:403302] equal(meet(X,meet(join(Y,meet(Z,join(U,X))),join(V,join(U,meet(X,join(Y,meet(X,Z))))))),meet(X,join(Y,meet(Z,join(U,X))))).
% 403550 [para:403301.1.1,403313.1.2.2] -equal(meet(a,join(b,meet(a,c))),meet(a,join(meet(join(a,b),c),meet(a,join(b,meet(a,c)))))).
% 403586 [para:403349.1.1,403341.1.1.2.2,demod:403303] equal(join(X,join(Y,meet(Z,join(Y,X)))),join(X,Y)).
% 403594 [para:403352.1.2,403321.1.1.1] equal(meet(join(X,Y),join(meet(X,Z),Y)),join(meet(X,Z),Y)).
% 403607 [para:403353.1.1,403321.1.1.1] equal(meet(join(X,join(Y,Z)),join(Z,X)),join(Z,X)).
% 403660 [para:403358.1.2,403314.1.1.2] equal(meet(join(meet(X,Y),Z),join(Y,Z)),join(meet(X,Y),Z)).
% 403734 [para:403373.1.1,403361.1.1.1.2] equal(meet(join(X,meet(Y,Z)),meet(Z,Y)),meet(Z,Y)).
% 403794 [para:403443.1.1,403307.1.1.2] equal(join(meet(X,join(Y,Z)),meet(Z,X)),meet(X,join(Y,Z))).
% 406004 [para:403389.1.2,403586.1.1.2,demod:403322] equal(join(X,Y),join(meet(join(Y,Z),join(X,Y)),X)).
% 419232 [para:403307.1.1,403594.1.1.1] equal(meet(X,join(meet(X,Y),meet(Z,X))),join(meet(X,Y),meet(Z,X))).
% 426353 [para:403346.1.1,403660.1.1.1,demod:403346,419232,403302] equal(meet(X,join(meet(Y,Z),meet(X,Y))),meet(X,Y)).
% 426534 [para:403300.1.1,426353.1.1.2.2] equal(meet(X,join(meet(Y,Z),meet(Y,X))),meet(X,Y)).
% 426590 [para:403734.1.1,426353.1.1.2.1] equal(meet(X,join(meet(Y,Z),meet(X,join(U,meet(Z,Y))))),meet(X,join(U,meet(Z,Y)))).
% 427746 [para:406004.1.2,426534.1.1.2] equal(meet(X,join(meet(join(Y,Z),X),Y)),meet(X,join(Y,Z))).
% 429340 [para:403304.1.1,403550.1.2.2,demod:426590,427746] -equal(meet(a,join(b,meet(a,c))),meet(a,join(b,meet(c,join(a,b))))).
% 431367 [para:403301.1.1,429340.1.1.2] -equal(meet(a,join(meet(a,c),b)),meet(a,join(b,meet(c,join(a,b))))).
% 444492 [para:403301.1.1,431367.1.2.2.2.2] -equal(meet(a,join(meet(a,c),b)),meet(a,join(b,meet(c,join(b,a))))).
% 445853 [para:403794.1.1,403607.1.1.1.2] equal(meet(join(X,meet(Y,join(Z,U))),join(meet(U,Y),X)),join(meet(U,Y),X)).
% 448798 [para:403586.1.1,403450.1.1.2.2,demod:445853,slowcut:444492] 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 lex ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 120
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 3660
% derived clauses: 3124844
% kept clauses: 208418
% kept size sum: 0
% kept mid-nuclei: 0
% kept new demods: 140721
% forw unit-subs: 2429100
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 26
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 292.95
% process. runtime: 289.66
% 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/LAT174-1+eq_r.in")
%
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