TSTP Solution File: LAT144-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT144-1 : 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 375.7s
% Output : Assurance 375.7s
% 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/LAT144-1+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 7 1)
% (binary-posweight-lex-big-order 30 #f 7 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(11,40,0,22,0,0,38086,3,3003,52008,4,4507,61885,5,6001,61885,1,6001,61885,50,6005,61885,40,6005,61896,0,6005,88916,3,7510,99004,4,8278,108027,5,9006,108027,1,9006,108027,50,9009,108027,40,9009,108038,0,9009,109061,50,9040,109061,40,9040,109072,0,9053,246674,3,18079,321824,4,22555,407242,5,27055,407242,1,27055,407242,50,27060,407242,40,27060,407253,0,27061,531522,3,33089,600208,4,36072)
%
%
% START OF PROOF
% 407244 [] equal(meet(X,X),X).
% 407246 [] equal(meet(X,join(X,Y)),X).
% 407247 [] equal(join(X,meet(X,Y)),X).
% 407248 [] equal(meet(X,Y),meet(Y,X)).
% 407249 [] equal(join(X,Y),join(Y,X)).
% 407250 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 407251 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 407252 [] equal(meet(X,join(Y,meet(X,meet(Z,U)))),meet(X,join(Y,meet(Z,join(meet(X,U),meet(Y,U)))))).
% 407253 [] -equal(meet(a,join(b,meet(a,c))),meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c)))))).
% 407254 [para:407248.1.1,407246.1.1] equal(meet(join(X,Y),X),X).
% 407255 [para:407248.1.1,407247.1.1.2] equal(join(X,meet(Y,X)),X).
% 407262 [para:407249.1.1,407246.1.1.2] equal(meet(X,join(Y,X)),X).
% 407267 [para:407249.1.1,407253.1.2.2.2.2.1.2] -equal(meet(a,join(b,meet(a,c))),meet(a,join(b,meet(c,join(meet(a,join(c,b)),meet(b,c)))))).
% 407268 [para:407254.1.1,407247.1.1.2,demod:407251] equal(join(X,join(Y,X)),join(X,Y)).
% 407269 [para:407249.1.1,407254.1.1.1] equal(meet(join(X,Y),Y),Y).
% 407270 [para:407255.1.1,407249.1.1] equal(X,join(meet(Y,X),X)).
% 407285 [para:407250.1.1,407248.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 407291 [para:407262.1.1,407250.1.1] equal(meet(X,Y),meet(X,meet(Y,join(Z,meet(X,Y))))).
% 407301 [para:407251.1.1,407249.1.1] equal(join(X,join(Y,Z)),join(Z,join(X,Y))).
% 407307 [para:407251.1.1,407262.1.1.2] equal(meet(X,join(Y,join(Z,X))),X).
% 407309 [para:407251.1.1,407269.1.1.1] equal(meet(join(X,join(Y,Z)),Z),Z).
% 407334 [para:407244.1.1,407252.1.1.2.2,demod:407244,407291,407250] equal(meet(X,Y),meet(X,meet(Y,join(Z,meet(X,join(meet(X,Y),meet(Z,Y))))))).
% 407339 [para:407246.1.1,407252.1.1.2.2.2] equal(meet(X,join(Y,meet(X,Z))),meet(X,join(Y,meet(Z,join(meet(X,join(Z,U)),meet(Y,join(Z,U))))))).
% 407341 [para:407246.1.1,407252.1.2.2.2.2.2] equal(meet(X,join(Y,meet(X,meet(Z,join(Y,U))))),meet(X,join(Y,meet(Z,join(meet(X,join(Y,U)),Y))))).
% 407412 [para:407268.1.1,407309.1.1.1.2] equal(meet(join(X,join(Y,Z)),join(Z,Y)),join(Z,Y)).
% 407495 [para:407309.1.1,407285.1.1.2] equal(meet(X,Y),meet(Y,meet(X,join(Z,join(U,Y))))).
% 407588 [para:407301.1.1,407270.1.2] equal(join(X,Y),join(Y,join(meet(Z,join(X,Y)),X))).
% 409412 [para:407246.1.1,407334.1.2.2.2.2.2.2] equal(meet(X,join(Y,Z)),meet(X,meet(join(Y,Z),join(Y,meet(X,join(meet(X,join(Y,Z)),Y)))))).
% 409906 [para:407588.1.2,407412.1.1.1] equal(meet(join(X,Y),join(X,meet(Z,join(X,Y)))),join(X,meet(Z,join(X,Y)))).
% 410924 [para:407244.1.1,407341.1.1.2.2,demod:409412,407244,409906,407250] equal(meet(X,join(Y,meet(X,join(Y,Z)))),meet(X,join(Y,Z))).
% 410954 [para:407307.1.1,407341.1.2.2.2.2.1,demod:407495] equal(meet(X,join(Y,meet(Z,X))),meet(X,join(Y,meet(Z,join(X,Y))))).
% 649514 [para:410924.1.1,407339.1.2.2.2.2.1,demod:410954,slowcut:407267] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using unit paramodulation strategy
% using unit 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: 3765
% derived clauses: 3486270
% kept clauses: 248433
% kept size sum: 0
% kept mid-nuclei: 0
% kept new demods: 159232
% forw unit-subs: 2722468
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 30
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 387.74
% process. runtime: 382.98
% 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/LAT144-1+eq_r.in")
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