TSTP Solution File: LAT160-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT160-1 : 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 : art02.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 59.7s
% Output : Assurance 59.7s
% 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/LAT160-1+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(11,40,0,22,0,0,33779,3,3015,44848,4,4520,52315,5,6001,52315,1,6001,52315,50,6004,52315,40,6004,52326,0,6005)
%
%
% START OF PROOF
% 52318 [] equal(join(X,X),X).
% 52319 [] equal(meet(X,join(X,Y)),X).
% 52320 [] equal(join(X,meet(X,Y)),X).
% 52321 [] equal(meet(X,Y),meet(Y,X)).
% 52322 [] equal(join(X,Y),join(Y,X)).
% 52323 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 52324 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 52325 [] equal(meet(X,join(Y,meet(Z,join(X,U)))),meet(X,join(Y,join(meet(Z,U),meet(Z,join(X,Y)))))).
% 52326 [] -equal(meet(a,join(b,meet(c,join(a,d)))),meet(a,join(b,join(meet(a,c),meet(c,d))))).
% 52327 [para:52321.1.1,52319.1.1] equal(meet(join(X,Y),X),X).
% 52328 [para:52321.1.1,52320.1.1.2] equal(join(X,meet(Y,X)),X).
% 52332 [para:52321.1.1,52326.1.2.2.2.1] -equal(meet(a,join(b,meet(c,join(a,d)))),meet(a,join(b,join(meet(c,a),meet(c,d))))).
% 52334 [para:52322.1.1,52319.1.1.2] equal(meet(X,join(Y,X)),X).
% 52335 [para:52322.1.1,52320.1.1] equal(join(meet(X,Y),X),X).
% 52342 [para:52328.1.1,52322.1.1] equal(X,join(meet(Y,X),X)).
% 52356 [para:52323.1.1,52321.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 52365 [para:52323.1.1,52335.1.1.1] equal(join(meet(X,meet(Y,Z)),meet(X,Y)),meet(X,Y)).
% 52367 [para:52323.1.1,52342.1.2.1] equal(X,join(meet(Y,meet(Z,X)),X)).
% 52371 [para:52320.1.1,52324.1.1.1] equal(join(X,Y),join(X,join(meet(X,Z),Y))).
% 52372 [para:52324.1.1,52322.1.1] equal(join(X,join(Y,Z)),join(Z,join(X,Y))).
% 52378 [para:52324.1.1,52334.1.1.2] equal(meet(X,join(Y,join(Z,X))),X).
% 52406 [para:52318.1.1,52325.1.1.2.2.2] equal(meet(X,join(Y,meet(Z,X))),meet(X,join(Y,join(meet(Z,X),meet(Z,join(X,Y)))))).
% 52420 [para:52322.1.1,52325.1.2.2,demod:52324] equal(meet(X,join(Y,meet(Z,join(X,U)))),meet(X,join(meet(Z,U),join(meet(Z,join(X,Y)),Y)))).
% 52421 [para:52322.1.1,52325.1.2.2.2] equal(meet(X,join(Y,meet(Z,join(X,U)))),meet(X,join(Y,join(meet(Z,join(X,Y)),meet(Z,U))))).
% 52453 [para:52378.1.1,52367.1.2.1.2] equal(join(X,join(Y,Z)),join(meet(U,Z),join(X,join(Y,Z)))).
% 52620 [para:52372.1.1,52332.1.2.2] -equal(meet(a,join(b,meet(c,join(a,d)))),meet(a,join(meet(c,d),join(b,meet(c,a))))).
% 52627 [para:52371.1.2,52372.1.1.2,demod:52324] equal(join(X,join(Y,Z)),join(meet(Y,U),join(Z,join(X,Y)))).
% 53313 [para:52327.1.1,52365.1.1.1.2] equal(join(meet(X,Y),meet(X,join(Y,Z))),meet(X,join(Y,Z))).
% 54045 [para:52322.1.1,52406.1.2.2,demod:53313] equal(meet(X,join(Y,meet(Z,X))),meet(X,join(meet(Z,join(X,Y)),Y))).
% 58569 [para:52356.1.2,52453.1.2.1] equal(join(X,join(Y,meet(Z,U))),join(meet(Z,meet(U,V)),join(X,join(Y,meet(Z,U))))).
% 58605 [para:52453.1.2,52420.1.2.2,demod:54045,52324] equal(meet(X,join(Y,join(Z,meet(U,join(X,Z))))),meet(X,join(Y,join(Z,meet(U,X))))).
% 64255 [para:52627.1.1,52421.1.2.2,demod:58605,58569,52323,slowcut:52620] 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
% clause length limited to 1
% clause depth limited to 6
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1118
% derived clauses: 1079457
% kept clauses: 64208
% kept size sum: 271979
% kept mid-nuclei: 0
% kept new demods: 43610
% forw unit-subs: 819002
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 107
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 68.68
% process. runtime: 67.95
% 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/LAT160-1+eq_r.in")
%
%------------------------------------------------------------------------------