TSTP Solution File: LAT030-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT030-1 : TPTP v3.4.2. Released v2.2.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art03.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 0.0s
% Output : Assurance 0.0s
% 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/LAT030-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
%
% strategies selected:
% (hyper 30 #f 11 11)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 11 11)
% (binary-posweight-lex-big-order 30 #f 11 11)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
%
%
% SOS clause
% -equal(meet(a,a),a) | -equal(meet(b,a),meet(a,b)) | -equal(join(a,a),a) | -equal(join(b,a),join(a,b)) | -equal(meet(meet(join(a,b),join(c,b)),b),b) | -equal(join(join(meet(a,b),meet(c,b)),b),b).
% was split for some strategies as:
% -equal(meet(a,a),a).
% -equal(meet(b,a),meet(a,b)).
% -equal(join(a,a),a).
% -equal(join(b,a),join(a,b)).
% -equal(meet(meet(join(a,b),join(c,b)),b),b).
% -equal(join(join(meet(a,b),meet(c,b)),b),b).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(3,40,0,6,0,0,7,50,0,10,0,0,12,50,5,15,0,5)
%
%
% START OF PROOF
% 13 [] equal(X,X).
% 14 [] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,U),join(V,Y)),Y)),meet(W,join(Y,meet(meet(join(Y,U),join(V,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 15 [] -equal(meet(meet(join(a,b),join(c,b)),b),b) | -equal(join(join(meet(a,b),meet(c,b)),b),b) | -equal(join(b,a),join(a,b)) | -equal(meet(b,a),meet(a,b)) | -equal(join(a,a),a) | -equal(meet(a,a),a).
% 17 [para:14.1.1,14.1.1.2.1.2.1] 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(join(meet(Y,Z),meet(Z,join(Y,Z))),V),meet(W,join(meet(Y,Z),meet(Z,join(Y,Z))))),join(meet(Y,Z),meet(Z,join(Y,Z))))),meet(Z,join(X,join(join(meet(join(meet(Y,Z),meet(Z,join(Y,Z))),V),meet(W,join(meet(Y,Z),meet(Z,join(Y,Z))))),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)))).
% 18 [para:14.1.1,17.1.1.1.1.1.2,demod:14] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(W,join(join(meet(Y,X1),meet(X2,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,X1),join(X2,Y)),Y)),meet(X3,join(Y,meet(meet(join(Y,X1),join(X2,Y)),Y)))),join(W,join(join(meet(Y,X1),meet(X2,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 19 [para:14.1.1,18.1.1.2.1] 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).
% 20 [para:19.1.1,14.1.1.1.1,demod:19] equal(join(meet(X,Y),meet(join(meet(join(meet(join(meet(Z,X),meet(X,join(Z,X))),X),meet(X,join(join(meet(Z,X),meet(X,join(Z,X))),X))),join(join(meet(X,U),meet(V,X)),X)),meet(join(meet(X,meet(meet(join(X,U),join(V,X)),X)),meet(W,join(X,meet(meet(join(X,U),join(V,X)),X)))),join(join(meet(join(meet(Z,X),meet(X,join(Z,X))),X),meet(X,join(join(meet(Z,X),meet(X,join(Z,X))),X))),join(join(meet(X,U),meet(V,X)),X)))),join(X,Y))),X).
% 21 [para:19.1.1,17.1.1.1.1.1.2,demod:19] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(Y,join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 22 [para:19.1.1,17.1.1.2.1] equal(join(meet(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))),join(meet(Z,Y),meet(Y,join(Z,Y)))),meet(join(meet(Z,Y),meet(Y,join(Z,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))),join(meet(Z,Y),meet(Y,join(Z,Y)))))),U),meet(Y,join(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))),join(meet(Z,Y),meet(Y,join(Z,Y)))),meet(join(meet(Z,Y),meet(Y,join(Z,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))),join(meet(Z,Y),meet(Y,join(Z,Y)))))),U))),join(meet(Z,Y),meet(Y,join(Z,Y)))).
% 24 [para:19.1.1,18.1.1.2.1.2.1] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(Y,meet(meet(join(Y,W),join(X1,Y)),Y)),meet(X2,join(Y,meet(meet(join(Y,W),join(X1,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 25 [para:19.1.1,19.1.1.1.1,demod:19] equal(join(meet(X,Y),meet(X,join(X,Y))),X).
% 30 [para:25.1.1,18.1.1.1.1,demod:25] equal(join(meet(X,Y),meet(join(meet(X,join(join(meet(X,Z),meet(U,X)),X)),meet(join(meet(V,join(join(meet(X,W),meet(X1,X)),X)),meet(join(meet(X,meet(meet(join(X,W),join(X1,X)),X)),meet(X2,join(X,meet(meet(join(X,W),join(X1,X)),X)))),join(V,join(join(meet(X,W),meet(X1,X)),X)))),join(X,join(join(meet(X,Z),meet(U,X)),X)))),join(X,Y))),X).
% 31 [para:25.1.1,18.1.1.2.1.2.1.2.1] equal(join(meet(join(meet(X,Y),meet(Y,join(X,Y))),Z),meet(join(meet(X,join(join(meet(Y,U),meet(V,Y)),Y)),meet(join(meet(W,join(join(meet(Y,X1),meet(X2,Y)),Y)),meet(Y,join(W,join(join(meet(Y,X1),meet(X2,Y)),Y)))),join(X,join(join(meet(Y,U),meet(V,Y)),Y)))),join(join(meet(X,Y),meet(Y,join(X,Y))),Z))),Y).
% 34 [para:25.1.1,25.1.1.2.2] equal(join(meet(meet(X,Y),meet(X,join(X,Y))),meet(meet(X,Y),X)),meet(X,Y)).
% 54 [para:21.1.1,21.1.1.1.1,demod:25,21] equal(X,join(meet(Y,join(join(meet(X,Z),meet(U,X)),X)),meet(X,join(Y,join(join(meet(X,Z),meet(U,X)),X))))).
% 63 [para:54.1.2,21.1.1.2.1] 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).
% 64 [?] ?
% 66 [para:18.1.1,20.1.1.2.1.2.1,demod:63,64] equal(X,join(meet(Y,X),meet(X,join(Y,X)))).
% 78 [para:17.1.1,66.1.2.2.2,demod:54,66] equal(meet(X,join(X,Y)),join(meet(meet(X,Y),meet(X,join(X,Y))),meet(meet(X,join(X,Y)),X))).
% 90 [para:66.1.2,66.1.2.2.2] equal(meet(X,join(Y,X)),join(meet(meet(Y,X),meet(X,join(Y,X))),meet(meet(X,join(Y,X)),X))).
% 106 [para:78.1.2,66.1.2.2.2] equal(meet(meet(X,join(X,Y)),X),join(meet(meet(meet(X,Y),meet(X,join(X,Y))),meet(meet(X,join(X,Y)),X)),meet(meet(meet(X,join(X,Y)),X),meet(X,join(X,Y))))).
% 276 [para:25.1.1,24.1.1.2.1,demod:66] equal(join(meet(X,Y),meet(join(meet(X,meet(meet(join(X,Z),join(U,X)),X)),meet(V,join(X,meet(meet(join(X,Z),join(U,X)),X)))),join(X,Y))),X).
% 307 [para:66.1.2,276.1.1.2.1] equal(join(meet(X,Y),meet(meet(meet(join(X,Z),join(U,X)),X),join(X,Y))),X).
% 334 [para:307.1.1,54.1.2] equal(meet(meet(join(X,Y),join(Z,X)),X),X).
% 353 [para:17.1.1,334.1.1.1.1,demod:66] equal(meet(meet(X,join(Y,meet(X,Z))),meet(X,Z)),meet(X,Z)).
% 375 [para:334.1.1,66.1.2.1] equal(X,join(X,meet(X,join(meet(join(X,Y),join(Z,X)),X)))).
% 376 [para:66.1.2,334.1.1.1.1] equal(meet(meet(X,join(Y,meet(Z,X))),meet(Z,X)),meet(Z,X)).
% 411 [para:66.1.2,353.1.1.1.2] equal(meet(meet(X,X),meet(X,join(Y,X))),meet(X,join(Y,X))).
% 449 [para:375.1.2,334.1.1.1.1] equal(meet(meet(X,join(Y,X)),X),X).
% 450 [para:375.1.2,375.1.2.2.2.1.1] equal(X,join(X,meet(X,join(meet(X,join(Y,X)),X)))).
% 494 [para:66.1.2,449.1.1.1.2,demod:449] equal(meet(X,meet(X,join(Y,X))),meet(X,join(Y,X))).
% 498 [para:449.1.1,78.1.2.2,demod:411] equal(meet(X,join(X,X)),join(meet(X,join(X,X)),X)).
% 500 [para:449.1.1,90.1.2.1.1,demod:449,494] equal(meet(X,join(meet(X,join(Y,X)),X)),join(meet(X,join(meet(X,join(Y,X)),X)),X)).
% 509 [para:449.1.1,106.1.2.1.2,demod:494,411,449] equal(X,join(X,meet(X,join(X,X)))).
% 517 [para:509.1.2,17.1.1.2.2,demod:54,494,66] equal(join(meet(X,join(X,X)),meet(X,X)),X).
% 533 [para:517.1.1,54.1.2.1.2.1,demod:517] equal(X,join(meet(Y,join(X,X)),meet(X,join(Y,join(X,X))))).
% 546 [para:517.1.1,353.1.1.1.2] equal(meet(meet(X,X),meet(X,X)),meet(X,X)).
% 562 [?] ?
% 563 [para:546.1.1,34.1.1.2.1,demod:562,546] equal(join(meet(X,X),meet(X,X)),meet(X,X)).
% 664 [para:498.1.2,334.1.1.1.2] equal(meet(meet(join(X,Y),meet(X,join(X,X))),X),X).
% 959 [para:533.1.2,276.1.1,demod:334] equal(join(meet(X,X),meet(Y,join(X,X))),X).
% 995 [para:959.1.1,54.1.2] equal(X,join(join(meet(X,Y),meet(Z,X)),X)).
% 1016 [?] ?
% 1025 [para:959.1.1,533.1.2] equal(X,join(X,X)).
% 1029 [para:31.1.1,17.1.1.2.1,demod:563,1025,995,66] equal(join(meet(meet(X,X),Y),meet(X,join(meet(X,X),Y))),X).
% 1054 [para:31.1.1,22.1.1.1.1.2.1,demod:1029,1016,546,563,1025,66,995] equal(X,meet(X,X)).
% 1082 [para:450.1.2,31.1.1.2.2,demod:500,1054,995,494,66] equal(meet(X,join(meet(X,join(Y,X)),X)),X).
% 1116 [para:1025.1.2,334.1.1.1.2] equal(meet(meet(join(X,Y),X),X),X).
% 1120 [para:1025.1.2,959.1.1.2.2,demod:1054] equal(join(X,meet(Y,X)),X).
% 1141 [para:1120.1.1,376.1.1.1.2,demod:1054] equal(meet(X,meet(Y,X)),meet(Y,X)).
% 1142 [para:1120.1.1,30.1.1.2.2,demod:66,1120,1025,334,1054,995,1141] equal(join(meet(X,Y),Y),Y).
% 1149 [para:1116.1.1,25.1.1.1,demod:1025,1116,1142] equal(X,meet(join(X,Y),X)).
% 1206 [para:334.1.1,995.1.2.1.2] equal(X,join(join(meet(X,Y),X),X)).
% 1216 [para:1141.1.1,995.1.2.1.1] equal(X,join(join(meet(Y,X),meet(Z,X)),X)).
% 1248 [para:1082.1.1,1120.1.1.2,demod:1206] equal(X,join(meet(X,join(Y,X)),X)).
% 1253 [para:1248.1.2,25.1.1.2.2,demod:1025,449] equal(X,meet(X,join(Y,X))).
% 1265 [para:1253.1.2,376.1.1.1.2.2,demod:1253] equal(meet(meet(join(X,Y),join(Z,Y)),Y),Y).
% 1266 [para:1253.1.2,1120.1.1.2] equal(join(join(X,Y),Y),join(X,Y)).
% 1268 [para:1253.1.2,1141.1.1.2,demod:1253] equal(meet(join(X,Y),Y),Y).
% 1273 [para:1268.1.1,995.1.2.1.1] equal(join(X,Y),join(join(Y,meet(Z,join(X,Y))),join(X,Y))).
% 1287 [para:1266.1.1,1206.1.2] equal(X,join(meet(X,Y),X)).
% 1288 [para:1287.1.2,25.1.1.2.2,demod:1025] equal(meet(meet(X,Y),X),meet(X,Y)).
% 1305 [para:1288.1.1,959.1.1.2,demod:1025,1054] equal(join(X,meet(X,Y)),X).
% 1306 [para:1149.1.2,1288.1.1.1,demod:1149] equal(meet(X,join(X,Y)),X).
% 1315 [para:1305.1.1,376.1.1.1.2] equal(meet(meet(X,Y),meet(Y,X)),meet(Y,X)).
% 1392 [para:1315.1.1,25.1.1.1,demod:1306] equal(join(meet(X,Y),meet(Y,X)),meet(Y,X)).
% 1393 [para:1315.1.1,34.1.1.1.1,demod:1054,1315,1392] equal(meet(X,Y),meet(Y,X)).
% 1670 [para:1306.1.1,1273.1.2.1.2] equal(join(X,Y),join(join(Y,X),join(X,Y))).
% 1681 [para:1670.1.2,25.1.1.2.2,demod:1025] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 1686 [para:1670.1.2,664.1.1.1.1,demod:1681,1054,1025] equal(join(X,Y),join(Y,X)).
% 1697 [hyper:15,1686,demod:1054,1025,1265,1216,cut:13,cut:13,cut:1393,cut:13,cut:13] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 11
% clause depth limited to 13
% seconds given: 15
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 172
% derived clauses: 79312
% kept clauses: 1677
% kept size sum: 111116
% kept mid-nuclei: 4
% kept new demods: 1678
% forw unit-subs: 76282
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 38
% fast unit cutoff: 5
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 7.45
% process. runtime: 7.42
% 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/LAT030-1+eq_r.in")
%
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