TSTP Solution File: LAT084-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT084-1 : TPTP v3.4.2. Released v2.6.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art04.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 319.1s
% Output : Assurance 319.1s
% 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/LAT084-1+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 12 1)
% (binary-posweight-lex-big-order 30 #f 12 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(3,40,1,6,0,1,7,50,6,10,0,6,11,50,10,14,0,10,4124,3,2993,6905,4,4441,10416,5,5919,10416,1,5919,10416,50,5920,10416,40,5920,10419,0,5920,10420,50,5922,10423,0,5931,10424,50,5933,10427,0,5942,12922,3,7405,14068,4,8238,14848,5,8843,14849,1,8844,14849,50,8844,14849,40,8844,14852,0,8844,14852,50,8845,14852,40,8845,14855,0,8856,16646,3,18344,19072,5,26858,19128,1,27041,19128,50,27041,19128,40,27041,19131,0,27042)
%
%
% START OF PROOF
% 19130 [] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)),meet(X1,join(Y,meet(meet(join(U,join(Y,V)),join(W,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 19131 [] -equal(join(a,b),join(b,a)).
% 19135 [para:19130.1.1,19130.1.1.2.1.2.1] equal(join(meet(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U),meet(join(meet(X,join(join(meet(V,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),W)),join(meet(Y,Z),meet(Z,join(Y,Z))))),meet(Z,join(X,join(join(meet(V,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),W)),join(meet(Y,Z),meet(Z,join(Y,Z))))))),join(join(meet(X,join(meet(Y,Z),meet(Z,join(Y,Z)))),meet(join(meet(Y,Z),meet(Z,join(Y,Z))),join(X,join(meet(Y,Z),meet(Z,join(Y,Z)))))),U))),join(meet(Y,Z),meet(Z,join(Y,Z)))).
% 19163 [para:19130.1.1,19135.1.1.1.1.1.2,demod:19130] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(W,join(join(meet(X1,Y),meet(Y,X2)),Y)),meet(join(meet(Y,meet(meet(join(X1,join(Y,X2)),join(X3,Y)),Y)),meet(X4,join(Y,meet(meet(join(X1,join(Y,X2)),join(X3,Y)),Y)))),join(W,join(join(meet(X1,Y),meet(Y,X2)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 19216 [para:19130.1.1,19163.1.1.2.1] equal(join(meet(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z),meet(Y,join(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Y),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Y))),Z))),Y).
% 19227 [para:19163.1.1,19135.1.1.1.1.1.2,demod:19163] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(W,join(join(meet(X1,Y),meet(Y,X2)),Y)),meet(join(meet(X3,join(join(meet(X4,Y),meet(Y,X5)),Y)),meet(join(meet(Y,meet(meet(join(X4,join(Y,X5)),join(X6,Y)),Y)),meet(X7,join(Y,meet(meet(join(X4,join(Y,X5)),join(X6,Y)),Y)))),join(X3,join(join(meet(X4,Y),meet(Y,X5)),Y)))),join(W,join(join(meet(X1,Y),meet(Y,X2)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 19463 [para:19216.1.1,19135.1.1.1.1.1.2,demod:19216] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(Y,join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 19491 [para:19216.1.1,19163.1.1.2.1.2.1] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(U,Y),meet(Y,V)),Y)),meet(join(meet(Y,meet(meet(join(W,join(Y,X1)),join(X2,Y)),Y)),meet(X3,join(Y,meet(meet(join(W,join(Y,X1)),join(X2,Y)),Y)))),join(X,join(join(meet(U,Y),meet(Y,V)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 19541 [para:19216.1.1,19216.1.1.1.1,demod:19216] equal(join(meet(X,Y),meet(X,join(X,Y))),X).
% 19750 [para:19130.1.1,19463.1.1.1.1,demod:19541,19491] equal(X,join(meet(Y,join(join(meet(Z,X),meet(X,U)),X)),meet(join(meet(X,meet(meet(join(Z,join(X,U)),join(V,X)),X)),meet(W,join(X,meet(meet(join(Z,join(X,U)),join(V,X)),X)))),join(Y,join(join(meet(Z,X),meet(X,U)),X))))).
% 19772 [para:19463.1.1,19163.1.1.1.1,demod:19541,19463,19750] equal(X,join(meet(Y,join(join(meet(Z,X),meet(X,U)),X)),meet(X,join(Y,join(join(meet(Z,X),meet(X,U)),X))))).
% 19839 [para:19130.1.1,19227.1.1.2.1.2.1,demod:19772] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(Y,join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 19946 [para:19130.1.1,19772.1.2.1.2.1,demod:19839,19750] equal(X,join(meet(Y,join(X,X)),meet(X,join(Y,join(X,X))))).
% 21479 [para:19750.1.2,19216.1.1] equal(X,join(meet(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)),meet(V,join(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X))))).
% 21583 [para:21479.1.2,19130.1.1] equal(join(meet(X,Y),meet(Y,join(X,Y))),Y).
% 21846 [para:21583.1.1,21479.1.2] equal(X,meet(meet(join(Y,join(X,Z)),join(U,X)),X)).
% 22037 [para:21846.1.2,21479.1.2.1.2,demod:21846] equal(X,join(meet(X,X),meet(Y,join(X,X)))).
% 22038 [para:21846.1.2,21479.1.2.2,demod:21846] equal(X,join(meet(X,X),join(X,X))).
% 22149 [para:22038.1.2,21846.1.2.1.1] equal(X,meet(meet(X,join(Y,X)),X)).
% 22326 [para:22037.1.2,19772.1.2] equal(X,join(join(meet(Y,X),meet(X,Z)),X)).
% 22327 [para:22037.1.2,19946.1.2] equal(X,join(X,X)).
% 22453 [para:22327.1.2,19135.1.1.1.1.2.2,demod:19541,22326,22327,21583] equal(meet(X,X),X).
% 22522 [para:22327.1.2,21846.1.2.1.1] equal(X,meet(meet(join(X,Y),join(Z,X)),X)).
% 22527 [para:22327.1.2,22037.1.2.2.2,demod:22453] equal(X,join(X,meet(Y,X))).
% 22634 [para:21846.1.2,22326.1.2.1.1] equal(X,join(join(X,meet(X,Y)),X)).
% 22638 [para:22527.1.2,22326.1.2.1] equal(X,join(meet(Y,X),X)).
% 22642 [para:22638.1.2,19541.1.1.2.2,demod:22327] equal(meet(meet(X,Y),Y),meet(X,Y)).
% 22650 [para:22634.1.2,19541.1.1.2.2,demod:22327] equal(meet(join(X,meet(X,Y)),X),join(X,meet(X,Y))).
% 22709 [para:22038.1.2,22522.1.2.1.2,demod:22642,22327] equal(X,meet(join(X,Y),X)).
% 22722 [para:19130.1.1,22709.1.2.1,demod:21583] equal(meet(X,Y),meet(X,meet(X,Y))).
% 22781 [para:22709.1.2,22326.1.2.1.2] equal(join(X,Y),join(join(meet(Z,join(X,Y)),X),join(X,Y))).
% 22784 [para:22634.1.2,22709.1.2.1] equal(join(X,meet(X,Y)),meet(X,join(X,meet(X,Y)))).
% 22829 [para:22722.1.2,19130.1.1.1,demod:22784,22527,22327,22453,21846,22326,21583] equal(join(meet(X,Y),join(X,meet(X,Y))),X).
% 22967 [?] ?
% 23045 [para:22829.1.1,19130.1.1.1.1.2.2,demod:19541,22527,22327,22453,21846,22326,22829,22650,22967] equal(X,join(X,meet(X,Y))).
% 23046 [para:22829.1.1,19541.1.1.2.2,demod:22327,23045] equal(meet(meet(X,Y),X),meet(X,Y)).
% 23090 [para:22829.1.1,21583.1.1.2.2,demod:22453,23046,23045] equal(join(meet(X,Y),X),X).
% 23092 [para:22149.1.2,22829.1.1.1,demod:22327,23090,22149] equal(X,meet(X,join(Y,X))).
% 46465 [para:23092.1.2,22781.1.2.1.1] equal(join(X,Y),join(join(Y,X),join(X,Y))).
% 46681 [para:46465.1.2,19541.1.1.2.2,demod:22327] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 46693 [para:46465.1.2,22709.1.2.1,demod:46681,slowcut:19131] 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: 1150
% derived clauses: 1261908
% kept clauses: 33834
% kept size sum: 0
% kept mid-nuclei: 0
% kept new demods: 33777
% forw unit-subs: 1211438
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 67
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 328.13
% process. runtime: 326.91
% 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/LAT084-1+eq_r.in")
%
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