TSTP Solution File: LAT147-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT147-1 : 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 : art08.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 197.4s
% Output : Assurance 197.4s
% 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/LAT147-1+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(11,40,0,22,0,0,37547,3,3030,48129,4,4508,56359,5,6001,56359,1,6001,56359,50,6005,56359,40,6005,56370,0,6005,82848,3,7508,91023,4,8270,99080,5,9006,99081,1,9006,99081,50,9009,99081,40,9009,99092,0,9009,101395,50,9274,101395,40,9274,101406,0,9287,200282,3,18388)
%
%
% START OF PROOF
% 101397 [] equal(meet(X,X),X).
% 101399 [] equal(meet(X,join(X,Y)),X).
% 101400 [] equal(join(X,meet(X,Y)),X).
% 101401 [] equal(meet(X,Y),meet(Y,X)).
% 101402 [] equal(join(X,Y),join(Y,X)).
% 101403 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 101404 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 101405 [] equal(meet(X,join(Y,meet(Z,U))),meet(X,join(Y,meet(Z,join(Y,meet(U,join(Y,Z))))))).
% 101406 [] -equal(meet(a,meet(b,join(c,meet(a,d)))),meet(a,meet(b,join(c,meet(d,join(a,meet(b,c))))))).
% 101407 [para:101401.1.1,101399.1.1] equal(meet(join(X,Y),X),X).
% 101408 [para:101401.1.1,101400.1.1.2] equal(join(X,meet(Y,X)),X).
% 101409 [para:101401.1.1,101406.1.1,demod:101403] -equal(meet(b,meet(join(c,meet(a,d)),a)),meet(a,meet(b,join(c,meet(d,join(a,meet(b,c))))))).
% 101416 [para:101402.1.1,101399.1.1.2] equal(meet(X,join(Y,X)),X).
% 101417 [para:101402.1.1,101400.1.1] equal(join(meet(X,Y),X),X).
% 101421 [para:101407.1.1,101400.1.1.2,demod:101404] equal(join(X,join(Y,X)),join(X,Y)).
% 101422 [para:101402.1.1,101407.1.1.1] equal(meet(join(X,Y),Y),Y).
% 101423 [para:101408.1.1,101402.1.1] equal(X,join(meet(Y,X),X)).
% 101426 [para:101401.1.1,101409.1.1.2.1.2] -equal(meet(b,meet(join(c,meet(d,a)),a)),meet(a,meet(b,join(c,meet(d,join(a,meet(b,c))))))).
% 101439 [para:101403.1.1,101401.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 101441 [para:101401.1.1,101403.1.1.1,demod:101403] equal(meet(X,meet(Y,Z)),meet(Y,meet(X,Z))).
% 101443 [para:101403.1.1,101408.1.1.2] equal(join(X,meet(Y,meet(Z,X))),X).
% 101444 [para:101400.1.1,101416.1.1.2,demod:101403] equal(meet(X,meet(Y,X)),meet(X,Y)).
% 101445 [para:101416.1.1,101403.1.1] equal(meet(X,Y),meet(X,meet(Y,join(Z,meet(X,Y))))).
% 101446 [para:101416.1.1,101403.1.1.1] equal(meet(X,Y),meet(X,meet(join(Z,X),Y))).
% 101447 [para:101407.1.1,101417.1.1.1] equal(join(X,join(X,Y)),join(X,Y)).
% 101449 [para:101422.1.1,101403.1.1.1] equal(meet(X,Y),meet(join(Z,X),meet(X,Y))).
% 101451 [para:101421.1.1,101416.1.1.2] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 101454 [para:101400.1.1,101404.1.1.1] equal(join(X,Y),join(X,join(meet(X,Z),Y))).
% 101455 [para:101404.1.1,101402.1.1] equal(join(X,join(Y,Z)),join(Z,join(X,Y))).
% 101460 [para:101408.1.1,101404.1.1.1] equal(join(X,Y),join(X,join(meet(Z,X),Y))).
% 101461 [para:101404.1.1,101416.1.1.2] equal(meet(X,join(Y,join(Z,X))),X).
% 101463 [para:101404.1.1,101422.1.1.1] equal(meet(join(X,join(Y,Z)),Z),Z).
% 101464 [para:101423.1.2,101404.1.1.1] equal(join(X,Y),join(meet(Z,X),join(X,Y))).
% 101469 [para:101399.1.1,101443.1.1.2.2,demod:101404] equal(join(X,join(Y,meet(Z,X))),join(X,Y)).
% 101472 [para:101443.1.1,101422.1.1.1] equal(meet(X,meet(Y,meet(Z,X))),meet(Y,meet(Z,X))).
% 101475 [para:101444.1.1,101408.1.1.2] equal(join(meet(X,Y),meet(Y,X)),meet(X,Y)).
% 101476 [para:101444.1.1,101403.1.1,demod:101472,101403] equal(meet(X,meet(Y,Z)),meet(X,meet(Z,meet(X,Y)))).
% 101477 [para:101444.1.1,101403.1.1.1,demod:101476,101403] equal(meet(X,meet(Y,Z)),meet(X,meet(Z,Y))).
% 101488 [para:101405.1.2,101397.1.1] equal(meet(join(X,meet(Y,join(X,meet(Z,join(X,Y))))),join(X,meet(Y,Z))),join(X,meet(Y,join(X,meet(Z,join(X,Y)))))).
% 101489 [para:101405.1.2,101401.1.1] equal(meet(X,join(Y,meet(Z,U))),meet(join(Y,meet(Z,join(Y,meet(U,join(Y,Z))))),X)).
% 101495 [para:101405.1.2,101407.1.1,demod:101404] equal(meet(join(X,join(meet(Y,join(X,meet(Z,join(X,Y)))),U)),join(X,meet(Y,Z))),join(X,meet(Y,join(X,meet(Z,join(X,Y)))))).
% 101496 [para:101407.1.1,101405.1.2.2.2.2.2,demod:101416,101447,101404] equal(meet(X,join(Y,meet(Z,join(Y,join(Z,U))))),meet(X,join(Y,Z))).
% 101497 [para:101405.1.2,101408.1.1.2,demod:101404] equal(join(X,join(meet(Y,join(X,meet(Z,join(X,Y)))),meet(U,join(X,meet(Y,Z))))),join(X,meet(Y,join(X,meet(Z,join(X,Y)))))).
% 101519 [para:101400.1.1,101461.1.1.2.2,demod:101403] equal(meet(X,meet(Y,join(Z,X))),meet(X,Y)).
% 101520 [para:101402.1.1,101461.1.1.2,demod:101404] equal(meet(X,join(Y,join(X,Z))),X).
% 101525 [para:101461.1.1,101405.1.2.2.2.2.2,demod:101422] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(join(U,Z),join(Y,Z))))).
% 101530 [para:101421.1.1,101463.1.1.1.2] equal(meet(join(X,join(Y,Z)),join(Z,Y)),join(Z,Y)).
% 101654 [para:101421.1.1,101446.1.2.2.1] equal(meet(join(X,Y),Z),meet(join(X,Y),meet(join(Y,X),Z))).
% 101667 [para:101421.1.1,101449.1.2.1,demod:101654] equal(meet(join(X,Y),Z),meet(join(Y,X),Z)).
% 101674 [para:101451.1.1,101439.1.1.2] equal(meet(X,join(Y,Z)),meet(join(Z,Y),meet(X,join(Y,Z)))).
% 101680 [para:101454.1.2,101405.1.2.2.2.2.2.2] equal(meet(X,join(Y,meet(join(meet(Y,Z),U),V))),meet(X,join(Y,meet(join(meet(Y,Z),U),join(Y,meet(V,join(Y,U))))))).
% 101684 [para:101454.1.2,101446.1.2.2.1] equal(meet(join(meet(X,Y),Z),U),meet(join(meet(X,Y),Z),meet(join(X,Z),U))).
% 101695 [para:101455.1.1,101423.1.2] equal(join(X,Y),join(Y,join(meet(Z,join(X,Y)),X))).
% 101736 [para:101444.1.1,101460.1.2.2.1] equal(join(meet(X,Y),Z),join(meet(X,Y),join(meet(Y,X),Z))).
% 101761 [para:101444.1.1,101464.1.2.1,demod:101736] equal(join(meet(X,Y),Z),join(meet(Y,X),Z)).
% 101769 [para:101469.1.1,101422.1.1.1] equal(meet(join(X,Y),join(Y,meet(Z,X))),join(Y,meet(Z,X))).
% 101771 [para:101444.1.1,101469.1.1.2.2] equal(join(meet(X,Y),join(Z,meet(Y,X))),join(meet(X,Y),Z)).
% 101807 [para:101475.1.1,101455.1.1.2,demod:101771] equal(join(X,meet(Y,Z)),join(meet(Z,Y),X)).
% 101860 [para:101421.1.1,101519.1.1.2.2,demod:101674] equal(meet(X,join(Y,Z)),meet(join(Z,Y),X)).
% 101885 [para:101441.1.1,101426.1.2] -equal(meet(b,meet(join(c,meet(d,a)),a)),meet(b,meet(a,join(c,meet(d,join(a,meet(b,c))))))).
% 102098 [para:101667.1.1,101477.1.1.2] equal(meet(X,meet(join(Y,Z),U)),meet(X,meet(U,join(Z,Y)))).
% 102338 [para:101761.1.1,101860.1.2.1] equal(meet(X,join(Y,meet(Z,U))),meet(join(meet(U,Z),Y),X)).
% 102411 [para:101445.1.2,101446.1.2.2,demod:101446] equal(meet(X,meet(Y,join(Z,meet(join(U,X),Y)))),meet(X,Y)).
% 103580 [para:101695.1.2,101530.1.1.1] equal(meet(join(X,Y),join(X,meet(Z,join(X,Y)))),join(X,meet(Z,join(X,Y)))).
% 103712 [para:101488.1.1,101401.1.1,demod:101397,101405] equal(join(X,meet(Y,join(X,meet(Z,join(X,Y))))),join(X,meet(Y,Z))).
% 103865 [para:101520.1.1,101489.1.2.1.2.2.2,demod:101407] equal(meet(X,join(Y,Z)),meet(join(Y,meet(join(Z,U),join(Y,Z))),X)).
% 105002 [para:101423.1.2,101495.1.1.1.2,demod:103712,101447] equal(meet(join(X,meet(Y,join(X,Z))),join(X,meet(Z,Y))),join(X,meet(Z,Y))).
% 105323 [para:101496.1.1,101488.1.1.1.2,demod:101520,101397,103865,101407] equal(join(X,Y),join(X,meet(join(Y,Z),join(X,Y)))).
% 105341 [para:101497.1.1,101520.1.1.2,demod:105002,101403,103712] equal(meet(X,join(Y,meet(X,Z))),meet(X,join(Y,meet(Z,join(Y,X))))).
% 105506 [para:101402.1.1,105323.1.2.2.1] equal(join(X,Y),join(X,meet(join(Z,Y),join(X,Y)))).
% 105759 [para:105506.1.2,101489.1.2.1.2.2.2.2,demod:103580,101403] equal(meet(X,join(Y,meet(join(Z,U),meet(join(Y,U),V)))),meet(join(Y,meet(join(Z,U),join(Y,meet(V,join(Y,U))))),X)).
% 113096 [para:101525.1.2,101488.1.1.1.2.2.2,demod:105506,101397,105759,103580,101403] equal(join(X,meet(join(Y,Z),meet(join(X,Z),U))),join(X,meet(join(Y,Z),join(X,meet(U,join(X,Z)))))).
% 138173 [para:101807.1.2,102098.1.1.2.1] equal(meet(X,meet(join(Y,meet(Z,U)),V)),meet(X,meet(V,join(Y,meet(U,Z))))).
% 144233 [para:101680.1.2,101769.1.1,demod:101684,113096,101421,101404] equal(meet(join(X,meet(Y,join(X,Z))),join(X,meet(join(meet(X,U),Z),Y))),join(X,meet(join(meet(X,U),Z),Y))).
% 187603 [para:101680.1.2,102411.1.1.2,demod:105341,144233] equal(meet(X,join(Y,meet(join(meet(Y,Z),X),U))),meet(X,join(Y,meet(X,U)))).
% 214903 [para:102338.1.1,101885.1.2.2.2.2,demod:187603,cut:138173] 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 kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 180
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 4200
% derived clauses: 2039659
% kept clauses: 169739
% kept size sum: 0
% kept mid-nuclei: 0
% kept new demods: 117158
% forw unit-subs: 1762062
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 20
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 201.91
% process. runtime: 199.5
% 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/LAT147-1+eq_r.in")
%
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