TSTP Solution File: LAT195-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : LAT195-1 : 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 : 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 88.4s
% Output : Assurance 88.4s
% 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/LAT195-1+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 7 5)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 7 5)
% (binary-posweight-lex-big-order 30 #f 7 5)
% (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)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(14,40,1,28,0,1,34101,4,2255,34419,5,3003,34419,1,3003,34419,50,3005,34419,40,3005,34433,0,3005,49607,3,3607,51404,4,3906,53972,5,4206,53972,5,4206,53972,1,4206,53972,50,4208,53972,40,4208,53986,0,4208,71332,3,4809,79793,4,5111,86242,5,5409,86242,1,5409,86242,50,5411,86242,40,5411,86256,0,5411,135937,3,8435)
%
%
% START OF PROOF
% 86243 [] equal(X,X).
% 86244 [] equal(meet(X,X),X).
% 86246 [] equal(meet(X,join(X,Y)),X).
% 86247 [] equal(join(X,meet(X,Y)),X).
% 86248 [] equal(meet(X,Y),meet(Y,X)).
% 86249 [] equal(join(X,Y),join(Y,X)).
% 86250 [] equal(meet(meet(X,Y),Z),meet(X,meet(Y,Z))).
% 86251 [] equal(join(join(X,Y),Z),join(X,join(Y,Z))).
% 86252 [] equal(join(X,complement(X)),one).
% 86253 [] equal(meet(X,complement(X)),zero).
% 86254 [] -equal(join(X,Y),one) | -equal(meet(X,Y),zero) | equal(complement(X),Y).
% 86255 [] equal(meet(X,join(Y,meet(Z,U))),meet(X,join(Y,meet(Z,join(Y,meet(U,join(Y,Z))))))).
% 86256 [] -equal(meet(a,join(b,c)),join(meet(a,b),meet(a,c))).
% 86257 [para:86252.1.1,86246.1.1.2] equal(meet(X,one),X).
% 86258 [para:86253.1.1,86247.1.1.2] equal(join(X,zero),X).
% 86259 [para:86248.1.1,86253.1.1] equal(meet(complement(X),X),zero).
% 86260 [para:86248.1.1,86256.1.1] -equal(meet(join(b,c),a),join(meet(a,b),meet(a,c))).
% 86263 [para:86248.1.1,86246.1.1] equal(meet(join(X,Y),X),X).
% 86264 [para:86248.1.1,86257.1.1] equal(meet(one,X),X).
% 86265 [para:86248.1.1,86247.1.1.2] equal(join(X,meet(Y,X)),X).
% 86266 [para:86249.1.1,86252.1.1] equal(join(complement(X),X),one).
% 86269 [para:86249.1.1,86246.1.1.2] equal(meet(X,join(Y,X)),X).
% 86270 [para:86249.1.1,86247.1.1] equal(join(meet(X,Y),X),X).
% 86271 [para:86249.1.1,86258.1.1] equal(join(zero,X),X).
% 86273 [para:86264.1.1,86246.1.1] equal(join(one,X),one).
% 86275 [para:86271.1.1,86246.1.1.2] equal(meet(zero,X),zero).
% 86277 [para:86250.1.1,86244.1.1] equal(meet(X,meet(Y,meet(X,Y))),meet(X,Y)).
% 86279 [para:86250.1.1,86253.1.1] equal(meet(X,meet(Y,complement(meet(X,Y)))),zero).
% 86280 [para:86253.1.1,86250.1.1.1,demod:86275] equal(zero,meet(X,meet(complement(X),Y))).
% 86281 [para:86250.1.1,86246.1.1] equal(meet(X,meet(Y,join(meet(X,Y),Z))),meet(X,Y)).
% 86282 [para:86246.1.1,86250.1.1.1] equal(meet(X,Y),meet(X,meet(join(X,Z),Y))).
% 86283 [para:86250.1.1,86247.1.1.2] equal(join(meet(X,Y),meet(X,meet(Y,Z))),meet(X,Y)).
% 86284 [para:86250.1.1,86248.1.1] equal(meet(X,meet(Y,Z)),meet(Z,meet(X,Y))).
% 86288 [para:86248.1.1,86260.1.2.1] -equal(meet(join(b,c),a),join(meet(b,a),meet(a,c))).
% 86292 [para:86259.1.1,86250.1.1.1,demod:86275] equal(zero,meet(complement(X),meet(X,Y))).
% 86299 [para:86247.1.1,86251.1.1.1] equal(join(X,Y),join(X,join(meet(X,Z),Y))).
% 86300 [para:86251.1.1,86249.1.1] equal(join(X,join(Y,Z)),join(Z,join(X,Y))).
% 86303 [para:86266.1.1,86251.1.1.1,demod:86273] equal(one,join(complement(X),join(X,Y))).
% 86304 [para:86263.1.1,86247.1.1.2,demod:86251] equal(join(X,join(Y,X)),join(X,Y)).
% 86305 [para:86249.1.1,86263.1.1.1] equal(meet(join(X,Y),Y),Y).
% 86308 [para:86265.1.1,86249.1.1] equal(X,join(meet(Y,X),X)).
% 86309 [para:86250.1.1,86265.1.1.2] equal(join(X,meet(Y,meet(Z,X))),X).
% 86311 [para:86265.1.1,86251.1.1.1] equal(join(X,Y),join(X,join(meet(Z,X),Y))).
% 86312 [para:86247.1.1,86269.1.1.2,demod:86250] equal(meet(X,meet(Y,X)),meet(X,Y)).
% 86313 [para:86269.1.1,86250.1.1] equal(meet(X,Y),meet(X,meet(Y,join(Z,meet(X,Y))))).
% 86315 [para:86251.1.1,86269.1.1.2] equal(meet(X,join(Y,join(Z,X))),X).
% 86324 [para:86249.1.1,86254.1.1] -equal(meet(Y,X),zero) | -equal(join(X,Y),one) | equal(complement(Y),X).
% 86328 [para:86266.1.1,86254.1.1,demod:86259,cut:86243,cut:86243] equal(complement(complement(X)),X).
% 86337 [para:86252.1.1,86255.1.2.2.2.2.2.2,demod:86257] equal(meet(X,join(Y,meet(complement(Y),Z))),meet(X,join(Y,meet(complement(Y),join(Y,Z))))).
% 86344 [para:86255.1.2,86264.1.1,demod:86264] equal(join(X,meet(Y,Z)),join(X,meet(Y,join(X,meet(Z,join(X,Y)))))).
% 86353 [para:86251.1.1,86305.1.1.1] equal(meet(join(X,join(Y,Z)),Z),Z).
% 86354 [para:86250.1.1,86308.1.2.1] equal(X,join(meet(Y,meet(Z,X)),X)).
% 86368 [para:86305.1.1,86292.1.2.2] equal(zero,meet(complement(join(X,Y)),Y)).
% 86375 [para:86270.1.1,86303.1.2.2] equal(one,join(complement(meet(X,Y)),X)).
% 86376 [para:86303.1.2,86254.1.1,demod:86328,cut:86243] -equal(meet(complement(X),join(X,Y)),zero) | equal(X,join(X,Y)).
% 86381 [para:86277.1.1,86265.1.1.2,demod:86312] equal(join(meet(X,Y),meet(Y,X)),meet(X,Y)).
% 86401 [para:86249.1.1,86288.1.1.1] -equal(meet(join(c,b),a),join(meet(b,a),meet(a,c))).
% 86408 [para:86375.1.2,86249.1.1] equal(one,join(X,complement(meet(X,Y)))).
% 86447 [para:86248.1.1,86281.1.1.2.2.1] equal(meet(X,meet(Y,join(meet(Y,X),Z))),meet(X,Y)).
% 86458 [para:86304.1.1,86269.1.1.2] equal(meet(join(X,Y),join(Y,X)),join(X,Y)).
% 86464 [para:86246.1.1,86309.1.1.2.2,demod:86251] equal(join(X,join(Y,meet(Z,X))),join(X,Y)).
% 86465 [para:86248.1.1,86309.1.1.2,demod:86250] equal(join(X,meet(Y,meet(X,Z))),X).
% 86475 [para:86247.1.1,86315.1.1.2.2,demod:86250] equal(meet(X,meet(Y,join(Z,X))),meet(X,Y)).
% 86485 [para:86265.1.1,86353.1.1.1.2] equal(meet(join(X,Y),meet(Z,Y)),meet(Z,Y)).
% 86486 [para:86304.1.1,86353.1.1.1.2] equal(meet(join(X,join(Y,Z)),join(Z,Y)),join(Z,Y)).
% 86519 [para:86282.1.2,86465.1.1.2,demod:86251] equal(join(X,join(Y,meet(X,Z))),join(X,Y)).
% 86540 [para:86283.1.1,86315.1.1.2.2,demod:86250] equal(meet(X,meet(Y,meet(Z,join(U,meet(X,Y))))),meet(X,meet(Y,Z))).
% 86561 [para:86284.1.1,86368.1.2] equal(zero,meet(X,meet(complement(join(Y,meet(Z,X))),Z))).
% 86799 [para:86299.1.2,86368.1.2.1.1] equal(zero,meet(complement(join(X,Y)),join(meet(X,Z),Y))).
% 87052 [para:86311.1.2,86368.1.2.1.1] equal(zero,meet(complement(join(X,Y)),join(meet(Z,X),Y))).
% 87171 [para:86381.1.1,86300.1.1.2] equal(join(X,meet(Y,Z)),join(meet(Z,Y),join(X,meet(Y,Z)))).
% 87177 [para:86458.1.1,86354.1.2.1.2] equal(join(X,Y),join(meet(Z,join(Y,X)),join(X,Y))).
% 87178 [para:86458.1.1,86284.1.1.2] equal(meet(X,join(Y,Z)),meet(join(Z,Y),meet(X,join(Y,Z)))).
% 87199 [para:86277.1.1,86464.1.1.2.2,demod:87171,86312] equal(join(X,meet(Y,Z)),join(meet(Z,Y),X)).
% 87340 [para:86304.1.1,86475.1.1.2.2,demod:87178] equal(meet(X,join(Y,Z)),meet(join(Z,Y),X)).
% 87447 [para:86280.1.2,86324.1.1,cut:86243] -equal(join(meet(complement(X),Y),X),one) | equal(complement(X),meet(complement(X),Y)).
% 88115 [para:87199.1.1,86401.1.2] -equal(meet(join(c,b),a),join(meet(c,a),meet(b,a))).
% 88214 [para:86408.1.2,86337.1.2.2.2.2,demod:86252,86257] equal(meet(X,join(Y,meet(complement(Y),complement(meet(Y,Z))))),X).
% 90179 [para:86249.1.1,86376.1.1.2] -equal(meet(complement(X),join(Y,X)),zero) | equal(X,join(X,Y)).
% 90481 [para:86265.1.1,86799.1.2.1.1] equal(zero,meet(complement(X),join(meet(X,Y),meet(Z,X)))).
% 91557 [para:86265.1.1,87052.1.2.1.1] equal(zero,meet(complement(X),join(meet(Y,X),meet(Z,X)))).
% 101346 [para:88214.1.1,86264.1.1] equal(one,join(X,meet(complement(X),complement(meet(X,Y))))).
% 101380 [para:88214.1.1,86486.1.1,demod:101346] equal(join(X,join(meet(complement(Y),complement(meet(Y,Z))),Y)),one).
% 101387 [para:88214.1.1,87177.1.2.1,demod:101380,binarydemod:87447] equal(complement(X),meet(complement(X),complement(meet(X,Y)))).
% 101394 [para:86263.1.1,101387.1.2.2.1] equal(complement(join(X,Y)),meet(complement(join(X,Y)),complement(X))).
% 101396 [para:86328.1.1,101387.1.2.1,demod:86328] equal(X,meet(X,complement(meet(complement(X),Y)))).
% 101562 [para:101396.1.2,86248.1.1] equal(X,meet(complement(meet(complement(X),Y)),X)).
% 101563 [para:86248.1.1,101396.1.2.2.1] equal(X,meet(X,complement(meet(Y,complement(X))))).
% 101738 [para:101563.1.2,86308.1.2.1] equal(complement(meet(X,complement(Y))),join(Y,complement(meet(X,complement(Y))))).
% 103721 [para:101394.1.2,86561.1.2.2] equal(zero,meet(X,complement(join(Y,meet(complement(Y),X))))).
% 106357 [para:86344.1.2,103721.1.2.2.1,demod:86257,86252] equal(zero,meet(join(X,Y),complement(join(X,meet(complement(X),Y))))).
% 135887 [para:86464.1.1,90179.1.1.2,demod:86308,86251] -equal(meet(complement(join(X,meet(Y,Z))),join(Z,X)),zero) | equal(join(X,meet(Y,Z)),join(X,Z)).
% 139051 [para:106357.1.2,87340.1.2,binarydemod:135887] equal(join(X,meet(complement(X),Y)),join(X,Y)).
% 139119 [para:86248.1.1,139051.1.1.2] equal(join(X,meet(Y,complement(X))),join(X,Y)).
% 139123 [para:86279.1.1,139051.1.1.2,demod:86258] equal(X,join(X,meet(Y,complement(meet(complement(X),Y))))).
% 139731 [para:139123.1.2,86269.1.1.2,demod:101562,86250] equal(meet(X,Y),meet(X,complement(meet(complement(Y),X)))).
% 140437 [para:139731.1.2,139051.1.1.2,demod:101738,139051] equal(join(X,Y),complement(meet(complement(Y),complement(X)))).
% 140438 [para:139731.1.2,139119.1.1.2,demod:86308] equal(join(meet(complement(X),Y),meet(Y,X)),Y).
% 140489 [para:140437.1.2,139123.1.2.2.2] equal(X,join(X,meet(complement(Y),join(Y,X)))).
% 140497 [para:86248.1.1,140438.1.1.2] equal(join(meet(complement(X),Y),meet(X,Y)),Y).
% 141750 [para:140489.1.2,86540.1.1.2.2.2,demod:86485] equal(meet(complement(X),meet(Y,Z)),meet(complement(X),meet(join(X,Z),Y))).
% 142079 [para:86282.1.2,140497.1.1.2,demod:141750] equal(join(meet(complement(X),meet(Y,Z)),meet(X,Y)),meet(join(X,Z),Y)).
% 142089 [para:86313.1.2,140497.1.1.2,demod:86519,142079] equal(meet(join(X,Y),Z),meet(Z,join(Y,meet(X,Z)))).
% 142120 [para:86447.1.1,140497.1.1.2,demod:86311,142079] equal(meet(join(X,Y),Z),meet(Z,join(meet(Z,X),Y))).
% 142132 [para:90481.1.2,140497.1.1.1,demod:86271,142120] equal(meet(join(X,meet(Y,Z)),Z),join(meet(Z,X),meet(Y,Z))).
% 142133 [para:90481.1.2,140497.1.1.2,demod:86258,142089,86312,142132,86328] equal(meet(join(X,Y),Z),meet(join(Y,meet(X,Z)),Z)).
% 142136 [para:91557.1.2,140497.1.1.1,demod:86271,142133,142089,slowcut:88115] 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
% clause length limited to 5
% clause depth limited to 7
% seconds given: 60
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 3914
% derived clauses: 2786682
% kept clauses: 133572
% kept size sum: 0
% kept mid-nuclei: 5133
% kept new demods: 112038
% forw unit-subs: 2431655
% forw double-subs: 48275
% forw overdouble-subs: 5902
% backward subs: 67
% fast unit cutoff: 4962
% full unit cutoff: 14
% dbl unit cutoff: 225
% real runtime : 93.59
% process. runtime: 91.90
% specific non-discr-tree subsumption statistics:
% tried: 20830
% length fails: 1195
% strength fails: 0
% predlist fails: 5906
% aux str. fails: 1518
% by-lit fails: 0
% full subs tried: 11853
% full subs fail: 5954
%
% ; 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/LAT195-1+eq_r.in")
%
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