TSTP Solution File: LAT162-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT162-1 : 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 : art07.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 197.2s
% Output : Assurance 197.2s
% 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/LAT162-1+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(11,40,0,22,0,0,39180,3,3030,51960,4,4523,60989,5,6039,60989,1,6039,60989,50,6044,60989,40,6044,61000,0,6044,88767,3,7552,97340,4,8328,106048,5,9045,106048,1,9045,106048,50,9048,106048,40,9048,106059,0,9048,107210,50,9082,107210,40,9082,107221,0,9094,220818,3,18099)
%
%
% START OF PROOF
% 107214 [] equal(meet(X,join(X,Y)),X).
% 107215 [] equal(join(X,meet(X,Y)),X).
% 107216 [] equal(meet(X,Y),meet(Y,X)).
% 107217 [] equal(join(X,Y),join(Y,X)).
% 107218 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 107219 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 107220 [] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(X,join(Z,meet(X,Y)))))).
% 107221 [] -equal(meet(a,meet(b,join(c,d))),meet(a,meet(b,join(c,meet(a,join(d,meet(b,c))))))).
% 107222 [para:107216.1.1,107214.1.1] equal(meet(join(X,Y),X),X).
% 107223 [para:107216.1.1,107215.1.1.2] equal(join(X,meet(Y,X)),X).
% 107224 [para:107216.1.1,107221.1.1,demod:107218] -equal(meet(b,meet(join(c,d),a)),meet(a,meet(b,join(c,meet(a,join(d,meet(b,c))))))).
% 107230 [para:107217.1.1,107214.1.1.2] equal(meet(X,join(Y,X)),X).
% 107231 [para:107217.1.1,107215.1.1] equal(join(meet(X,Y),X),X).
% 107235 [para:107222.1.1,107215.1.1.2,demod:107219] equal(join(X,join(Y,X)),join(X,Y)).
% 107236 [para:107217.1.1,107222.1.1.1] equal(meet(join(X,Y),Y),Y).
% 107237 [para:107223.1.1,107217.1.1] equal(X,join(meet(Y,X),X)).
% 107242 [para:107216.1.1,107224.1.2.2.2.2] -equal(meet(b,meet(join(c,d),a)),meet(a,meet(b,join(c,meet(join(d,meet(b,c)),a))))).
% 107250 [para:107214.1.1,107218.1.1.1] equal(meet(X,Y),meet(X,meet(join(X,Z),Y))).
% 107252 [para:107218.1.1,107216.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 107254 [para:107216.1.1,107218.1.1.1,demod:107218] equal(meet(X,meet(Y,Z)),meet(Y,meet(X,Z))).
% 107256 [para:107218.1.1,107223.1.1.2] equal(join(X,meet(Y,meet(Z,X))),X).
% 107257 [para:107215.1.1,107230.1.1.2,demod:107218] equal(meet(X,meet(Y,X)),meet(X,Y)).
% 107264 [para:107235.1.1,107230.1.1.2] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 107267 [para:107215.1.1,107219.1.1.1] equal(join(X,Y),join(X,join(meet(X,Z),Y))).
% 107271 [para:107219.1.1,107222.1.1.1] equal(meet(join(X,join(Y,Z)),join(X,Y)),join(X,Y)).
% 107272 [para:107219.1.1,107223.1.1] equal(join(X,join(Y,meet(Z,join(X,Y)))),join(X,Y)).
% 107273 [para:107223.1.1,107219.1.1.1] equal(join(X,Y),join(X,join(meet(Z,X),Y))).
% 107274 [para:107219.1.1,107230.1.1.2] equal(meet(X,join(Y,join(Z,X))),X).
% 107277 [para:107237.1.2,107219.1.1.1] equal(join(X,Y),join(meet(Z,X),join(X,Y))).
% 107282 [para:107214.1.1,107256.1.1.2.2,demod:107219] equal(join(X,join(Y,meet(Z,X))),join(X,Y)).
% 107283 [para:107216.1.1,107256.1.1.2,demod:107218] equal(join(X,meet(Y,meet(X,Z))),X).
% 107285 [para:107256.1.1,107236.1.1.1] equal(meet(X,meet(Y,meet(Z,X))),meet(Y,meet(Z,X))).
% 107289 [para:107257.1.1,107218.1.1,demod:107285,107218] equal(meet(X,meet(Y,Z)),meet(X,meet(Z,meet(X,Y)))).
% 107290 [para:107257.1.1,107218.1.1.1,demod:107289,107218] equal(meet(X,meet(Y,Z)),meet(X,meet(Z,Y))).
% 107300 [para:107220.1.2,107216.1.1] equal(meet(X,join(Y,Z)),meet(join(Y,meet(X,join(Z,meet(X,Y)))),X)).
% 107302 [para:107216.1.1,107220.1.2.2.2.2.2] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(X,join(Z,meet(Y,X)))))).
% 107303 [para:107217.1.1,107220.1.2.2] equal(meet(X,join(Y,Z)),meet(X,join(meet(X,join(Z,meet(X,Y))),Y))).
% 107304 [para:107217.1.1,107220.1.2.2.2.2] equal(meet(X,join(Y,Z)),meet(X,join(Y,meet(X,join(meet(X,Y),Z))))).
% 107306 [para:107220.1.2,107223.1.1.2,demod:107219] equal(join(X,join(meet(Y,join(Z,meet(Y,X))),meet(Y,join(X,Z)))),join(X,meet(Y,join(Z,meet(Y,X))))).
% 107307 [para:107220.1.2,107218.1.1,demod:107218] equal(meet(X,meet(Y,join(Z,U))),meet(X,meet(Y,join(Z,meet(X,meet(Y,join(U,meet(X,meet(Y,Z))))))))).
% 107311 [para:107220.1.2,107237.1.2.1] equal(join(X,meet(Y,join(Z,meet(Y,X)))),join(meet(Y,join(X,Z)),join(X,meet(Y,join(Z,meet(Y,X)))))).
% 107327 [para:107215.1.1,107274.1.1.2.2,demod:107218] equal(meet(X,meet(Y,join(Z,X))),meet(X,Y)).
% 107345 [para:107283.1.1,107220.1.2.2.2.2,demod:107231] equal(meet(X,Y),meet(X,join(meet(Y,Z),meet(X,Y)))).
% 107372 [para:107216.1.1,107250.1.2.2] equal(meet(X,Y),meet(X,meet(Y,join(X,Z)))).
% 107400 [para:107252.1.1,107220.1.2.2.2.2.2] equal(meet(X,join(meet(Y,Z),U)),meet(X,join(meet(Y,Z),meet(X,join(U,meet(Z,meet(X,Y))))))).
% 107484 [para:107264.1.1,107252.1.1.2] equal(meet(X,join(Y,Z)),meet(join(Z,Y),meet(X,join(Y,Z)))).
% 107541 [para:107257.1.1,107273.1.2.2.1] equal(join(meet(X,Y),Z),join(meet(X,Y),join(meet(Y,X),Z))).
% 107562 [para:107257.1.1,107277.1.2.1,demod:107541] equal(join(meet(X,Y),Z),join(meet(Y,X),Z)).
% 107661 [para:107327.1.1,107237.1.2.1] equal(meet(X,join(Y,Z)),join(meet(Z,X),meet(X,join(Y,Z)))).
% 107662 [para:107235.1.1,107327.1.1.2.2,demod:107484] equal(meet(X,join(Y,Z)),meet(join(Z,Y),X)).
% 107690 [para:107254.1.1,107242.1.2] -equal(meet(b,meet(join(c,d),a)),meet(b,meet(a,join(c,meet(join(d,meet(b,c)),a))))).
% 107794 [para:107372.1.2,107282.1.1.2.2] equal(join(meet(X,join(Y,Z)),join(U,meet(Y,X))),join(meet(X,join(Y,Z)),U)).
% 108133 [para:107562.1.1,107662.1.1.2] equal(meet(X,join(meet(Y,Z),U)),meet(join(U,meet(Z,Y)),X)).
% 108297 [para:107237.1.2,107271.1.1.1] equal(meet(join(X,Y),join(meet(Z,join(X,Y)),X)),join(meet(Z,join(X,Y)),X)).
% 108338 [para:107272.1.1,107267.1.2.2,demod:107267] equal(join(X,join(Y,meet(Z,join(meet(X,U),Y)))),join(X,Y)).
% 109248 [para:107300.1.2,107345.1.2.2.2,demod:107300] equal(meet(X,join(Y,Z)),meet(join(Y,meet(X,join(Z,meet(X,Y)))),join(meet(X,U),meet(X,join(Y,Z))))).
% 109889 [para:107302.1.2,107303.1.2.2.1,demod:107794,107231,107219] equal(meet(X,join(Y,Z)),meet(X,join(meet(X,join(Z,Y)),Y))).
% 109951 [para:107304.1.2,107218.1.1,demod:107218] equal(meet(X,meet(Y,join(Z,U))),meet(X,meet(Y,join(Z,meet(X,meet(Y,join(meet(X,meet(Y,Z)),U))))))).
% 110318 [para:107306.1.1,107236.1.1.1,demod:109248] equal(meet(X,join(Y,Z)),join(meet(X,join(Z,meet(X,Y))),meet(X,join(Y,Z)))).
% 110319 [para:107306.1.1,107235.1.1.2,demod:107311,110318] equal(join(X,meet(Y,join(Z,meet(Y,X)))),join(meet(Y,join(X,Z)),X)).
% 110325 [para:107306.1.1,107274.1.1.2,demod:108297,107218,110319] equal(meet(X,join(meet(X,join(Y,Z)),Y)),meet(X,join(Y,Z))).
% 110331 [para:107252.1.1,107306.1.1.2.1.2.2,demod:110319] equal(join(meet(X,Y),join(meet(Z,join(U,meet(Y,meet(Z,X)))),meet(Z,join(meet(X,Y),U)))),join(meet(Z,join(meet(X,Y),U)),meet(X,Y))).
% 122020 [para:107400.1.2,107223.1.1.2,demod:110331,107219] equal(join(meet(X,join(meet(Y,Z),U)),meet(Y,Z)),join(meet(Y,Z),meet(X,join(U,meet(Z,meet(X,Y)))))).
% 134881 [para:107400.1.2,107661.1.2.2,demod:107257,107218,110325,122020] equal(meet(X,join(meet(Y,Z),U)),join(meet(X,join(U,meet(Z,meet(X,Y)))),meet(X,join(meet(Y,Z),U)))).
% 214073 [para:107400.1.2,108338.1.1.2.2,demod:134881] equal(join(X,meet(Y,join(meet(X,Z),U))),join(X,meet(Y,join(U,meet(Z,meet(Y,X)))))).
% 238752 [para:109889.1.2,107307.1.2.2.2.2.2,demod:109951,214073] equal(meet(X,meet(Y,join(Z,meet(Y,join(meet(Z,X),U))))),meet(X,meet(Y,join(Z,U)))).
% 245455 [para:108133.1.2,107690.1.2.2.2.2,demod:238752,cut:107290] 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: 3084
% derived clauses: 2119158
% kept clauses: 180948
% kept size sum: 0
% kept mid-nuclei: 0
% kept new demods: 130213
% forw unit-subs: 1802178
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 3
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 204.70
% process. runtime: 201.72
% 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/LAT162-1+eq_r.in")
%
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