TSTP Solution File: REL005+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : REL005+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 18:59:53 EDT 2022
% Result : Theorem 9.69s 10.06s
% Output : Refutation 9.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL005+4 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jul 8 14:36:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.65/7.04 *** allocated 10000 integers for termspace/termends
% 6.65/7.04 *** allocated 10000 integers for clauses
% 6.65/7.04 *** allocated 10000 integers for justifications
% 6.65/7.04 Bliksem 1.12
% 6.65/7.04
% 6.65/7.04
% 6.65/7.04 Automatic Strategy Selection
% 6.65/7.04
% 6.65/7.04
% 6.65/7.04 Clauses:
% 6.65/7.04
% 6.65/7.04 { join( X, Y ) = join( Y, X ) }.
% 6.65/7.04 { join( X, join( Y, Z ) ) = join( join( X, Y ), Z ) }.
% 6.65/7.04 { X = join( complement( join( complement( X ), complement( Y ) ) ),
% 6.65/7.04 complement( join( complement( X ), Y ) ) ) }.
% 6.65/7.04 { meet( X, Y ) = complement( join( complement( X ), complement( Y ) ) ) }.
% 6.65/7.04 { composition( X, composition( Y, Z ) ) = composition( composition( X, Y )
% 6.65/7.04 , Z ) }.
% 6.65/7.04 { composition( X, one ) = X }.
% 6.65/7.04 { composition( join( X, Y ), Z ) = join( composition( X, Z ), composition(
% 6.65/7.04 Y, Z ) ) }.
% 6.65/7.04 { converse( converse( X ) ) = X }.
% 6.65/7.04 { converse( join( X, Y ) ) = join( converse( X ), converse( Y ) ) }.
% 6.65/7.04 { converse( composition( X, Y ) ) = composition( converse( Y ), converse( X
% 6.65/7.04 ) ) }.
% 6.65/7.04 { join( composition( converse( X ), complement( composition( X, Y ) ) ),
% 6.65/7.04 complement( Y ) ) = complement( Y ) }.
% 6.65/7.04 { top = join( X, complement( X ) ) }.
% 6.65/7.04 { zero = meet( X, complement( X ) ) }.
% 6.65/7.04 { join( meet( composition( X, Y ), Z ), composition( meet( X, composition(
% 6.65/7.04 Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) ) =
% 6.65/7.04 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 6.65/7.04 composition( converse( X ), Z ) ) ) }.
% 6.65/7.04 { join( meet( composition( X, Y ), Z ), meet( composition( X, meet( Y,
% 6.65/7.04 composition( converse( X ), Z ) ) ), Z ) ) = meet( composition( X, meet(
% 6.65/7.04 Y, composition( converse( X ), Z ) ) ), Z ) }.
% 6.65/7.04 { join( meet( composition( X, Y ), Z ), meet( composition( meet( X,
% 6.65/7.04 composition( Z, converse( Y ) ) ), Y ), Z ) ) = meet( composition( meet(
% 6.65/7.04 X, composition( Z, converse( Y ) ) ), Y ), Z ) }.
% 6.65/7.04 { ! join( converse( meet( skol1, skol2 ) ), meet( converse( skol1 ),
% 6.65/7.04 converse( skol2 ) ) ) = meet( converse( skol1 ), converse( skol2 ) ), !
% 6.65/7.04 join( meet( converse( skol1 ), converse( skol2 ) ), converse( meet( skol1
% 6.65/7.04 , skol2 ) ) ) = converse( meet( skol1, skol2 ) ) }.
% 6.65/7.04
% 6.65/7.04 percentage equality = 1.000000, percentage horn = 1.000000
% 6.65/7.04 This is a pure equality problem
% 6.65/7.04
% 6.65/7.04
% 6.65/7.04
% 6.65/7.04 Options Used:
% 6.65/7.04
% 6.65/7.04 useres = 1
% 6.65/7.04 useparamod = 1
% 6.65/7.04 useeqrefl = 1
% 6.65/7.04 useeqfact = 1
% 6.65/7.04 usefactor = 1
% 6.65/7.04 usesimpsplitting = 0
% 6.65/7.04 usesimpdemod = 5
% 6.65/7.04 usesimpres = 3
% 6.65/7.04
% 6.65/7.04 resimpinuse = 1000
% 6.65/7.04 resimpclauses = 20000
% 6.65/7.04 substype = eqrewr
% 6.65/7.04 backwardsubs = 1
% 6.65/7.04 selectoldest = 5
% 6.65/7.04
% 6.65/7.04 litorderings [0] = split
% 6.65/7.04 litorderings [1] = extend the termordering, first sorting on arguments
% 6.65/7.04
% 6.65/7.04 termordering = kbo
% 6.65/7.04
% 6.65/7.04 litapriori = 0
% 6.65/7.04 termapriori = 1
% 6.65/7.04 litaposteriori = 0
% 6.65/7.04 termaposteriori = 0
% 6.65/7.04 demodaposteriori = 0
% 6.65/7.04 ordereqreflfact = 0
% 6.65/7.04
% 6.65/7.04 litselect = negord
% 6.65/7.04
% 6.65/7.04 maxweight = 15
% 6.65/7.04 maxdepth = 30000
% 6.65/7.04 maxlength = 115
% 6.65/7.04 maxnrvars = 195
% 6.65/7.04 excuselevel = 1
% 6.65/7.04 increasemaxweight = 1
% 6.65/7.04
% 6.65/7.04 maxselected = 10000000
% 6.65/7.04 maxnrclauses = 10000000
% 6.65/7.04
% 6.65/7.04 showgenerated = 0
% 6.65/7.04 showkept = 0
% 6.65/7.04 showselected = 0
% 6.65/7.04 showdeleted = 0
% 6.65/7.04 showresimp = 1
% 6.65/7.04 showstatus = 2000
% 6.65/7.04
% 6.65/7.04 prologoutput = 0
% 6.65/7.04 nrgoals = 5000000
% 6.65/7.04 totalproof = 1
% 6.65/7.04
% 6.65/7.04 Symbols occurring in the translation:
% 6.65/7.04
% 6.65/7.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.65/7.04 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 6.65/7.04 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 6.65/7.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.65/7.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.65/7.04 join [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 6.65/7.04 complement [39, 1] (w:1, o:19, a:1, s:1, b:0),
% 6.65/7.04 meet [40, 2] (w:1, o:46, a:1, s:1, b:0),
% 6.65/7.04 composition [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 6.65/7.04 one [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 6.65/7.04 converse [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 6.65/7.04 top [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 6.65/7.04 zero [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 6.65/7.04 skol1 [46, 0] (w:1, o:10, a:1, s:1, b:1),
% 6.65/7.04 skol2 [47, 0] (w:1, o:11, a:1, s:1, b:1).
% 6.65/7.04
% 6.65/7.04
% 6.65/7.04 Starting Search:
% 6.65/7.04
% 6.65/7.04 *** allocated 15000 integers for clauses
% 6.65/7.04 *** allocated 22500 integers for clauses
% 6.65/7.04 *** allocated 33750 integers for clauses
% 6.65/7.04 *** allocated 50625 integers for clauses
% 6.65/7.04 *** allocated 75937 integers for clauses
% 6.65/7.04 *** allocated 113905 integers for clauses
% 9.69/10.06 *** allocated 15000 integers for termspace/termends
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 170857 integers for clauses
% 9.69/10.06 *** allocated 22500 integers for termspace/termends
% 9.69/10.06 *** allocated 256285 integers for clauses
% 9.69/10.06 *** allocated 33750 integers for termspace/termends
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 24471
% 9.69/10.06 Kept: 2002
% 9.69/10.06 Inuse: 299
% 9.69/10.06 Deleted: 166
% 9.69/10.06 Deletedinuse: 62
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 384427 integers for clauses
% 9.69/10.06 *** allocated 50625 integers for termspace/termends
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 576640 integers for clauses
% 9.69/10.06 *** allocated 75937 integers for termspace/termends
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 67248
% 9.69/10.06 Kept: 4003
% 9.69/10.06 Inuse: 462
% 9.69/10.06 Deleted: 260
% 9.69/10.06 Deletedinuse: 91
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 864960 integers for clauses
% 9.69/10.06 *** allocated 113905 integers for termspace/termends
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 126833
% 9.69/10.06 Kept: 6040
% 9.69/10.06 Inuse: 626
% 9.69/10.06 Deleted: 335
% 9.69/10.06 Deletedinuse: 91
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 1297440 integers for clauses
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 185653
% 9.69/10.06 Kept: 8045
% 9.69/10.06 Inuse: 755
% 9.69/10.06 Deleted: 371
% 9.69/10.06 Deletedinuse: 101
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 170857 integers for termspace/termends
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 242124
% 9.69/10.06 Kept: 10071
% 9.69/10.06 Inuse: 857
% 9.69/10.06 Deleted: 430
% 9.69/10.06 Deletedinuse: 118
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 1946160 integers for clauses
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 316560
% 9.69/10.06 Kept: 12115
% 9.69/10.06 Inuse: 974
% 9.69/10.06 Deleted: 497
% 9.69/10.06 Deletedinuse: 152
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 256285 integers for termspace/termends
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 406664
% 9.69/10.06 Kept: 14116
% 9.69/10.06 Inuse: 1100
% 9.69/10.06 Deleted: 539
% 9.69/10.06 Deletedinuse: 152
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 481670
% 9.69/10.06 Kept: 16132
% 9.69/10.06 Inuse: 1209
% 9.69/10.06 Deleted: 570
% 9.69/10.06 Deletedinuse: 152
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 2919240 integers for clauses
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 549926
% 9.69/10.06 Kept: 18137
% 9.69/10.06 Inuse: 1313
% 9.69/10.06 Deleted: 665
% 9.69/10.06 Deletedinuse: 153
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 384427 integers for termspace/termends
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying clauses:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 683502
% 9.69/10.06 Kept: 20190
% 9.69/10.06 Inuse: 1470
% 9.69/10.06 Deleted: 3233
% 9.69/10.06 Deletedinuse: 153
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 768594
% 9.69/10.06 Kept: 22243
% 9.69/10.06 Inuse: 1571
% 9.69/10.06 Deleted: 3391
% 9.69/10.06 Deletedinuse: 304
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 871914
% 9.69/10.06 Kept: 24251
% 9.69/10.06 Inuse: 1675
% 9.69/10.06 Deleted: 3405
% 9.69/10.06 Deletedinuse: 306
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 931160
% 9.69/10.06 Kept: 26258
% 9.69/10.06 Inuse: 1725
% 9.69/10.06 Deleted: 3408
% 9.69/10.06 Deletedinuse: 309
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 4378860 integers for clauses
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 576640 integers for termspace/termends
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 1112052
% 9.69/10.06 Kept: 28261
% 9.69/10.06 Inuse: 1892
% 9.69/10.06 Deleted: 3472
% 9.69/10.06 Deletedinuse: 352
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 1129938
% 9.69/10.06 Kept: 30264
% 9.69/10.06 Inuse: 1905
% 9.69/10.06 Deleted: 3747
% 9.69/10.06 Deletedinuse: 624
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 1186017
% 9.69/10.06 Kept: 32284
% 9.69/10.06 Inuse: 1970
% 9.69/10.06 Deleted: 3778
% 9.69/10.06 Deletedinuse: 637
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 1240014
% 9.69/10.06 Kept: 34289
% 9.69/10.06 Inuse: 2030
% 9.69/10.06 Deleted: 3779
% 9.69/10.06 Deletedinuse: 637
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 1361834
% 9.69/10.06 Kept: 36292
% 9.69/10.06 Inuse: 2165
% 9.69/10.06 Deleted: 3825
% 9.69/10.06 Deletedinuse: 637
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 1473550
% 9.69/10.06 Kept: 38337
% 9.69/10.06 Inuse: 2289
% 9.69/10.06 Deleted: 3901
% 9.69/10.06 Deletedinuse: 639
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying clauses:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 1550010
% 9.69/10.06 Kept: 40414
% 9.69/10.06 Inuse: 2354
% 9.69/10.06 Deleted: 14833
% 9.69/10.06 Deletedinuse: 660
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 6568290 integers for clauses
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 *** allocated 864960 integers for termspace/termends
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 1670687
% 9.69/10.06 Kept: 42448
% 9.69/10.06 Inuse: 2431
% 9.69/10.06 Deleted: 14833
% 9.69/10.06 Deletedinuse: 660
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Intermediate Status:
% 9.69/10.06 Generated: 1942723
% 9.69/10.06 Kept: 44466
% 9.69/10.06 Inuse: 2589
% 9.69/10.06 Deleted: 14843
% 9.69/10.06 Deletedinuse: 668
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06 Resimplifying inuse:
% 9.69/10.06 Done
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Bliksems!, er is een bewijs:
% 9.69/10.06 % SZS status Theorem
% 9.69/10.06 % SZS output start Refutation
% 9.69/10.06
% 9.69/10.06 (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.06 (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join( join( X, Y )
% 9.69/10.06 , Z ) }.
% 9.69/10.06 (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join( complement( X ),
% 9.69/10.06 complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.06 (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X ), complement
% 9.69/10.06 ( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.06 (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z ) ) ==>
% 9.69/10.06 composition( composition( X, Y ), Z ) }.
% 9.69/10.06 (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 9.69/10.06 (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ), composition( Y, Z )
% 9.69/10.06 ) ==> composition( join( X, Y ), Z ) }.
% 9.69/10.06 (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 9.69/10.06 (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y ) ) ==>
% 9.69/10.06 converse( join( X, Y ) ) }.
% 9.69/10.06 (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ), converse( X ) )
% 9.69/10.06 ==> converse( composition( X, Y ) ) }.
% 9.69/10.06 (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X ), complement
% 9.69/10.06 ( composition( X, Y ) ) ), complement( Y ) ) ==> complement( Y ) }.
% 9.69/10.06 (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top }.
% 9.69/10.06 (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==> zero }.
% 9.69/10.06 (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ), Z ),
% 9.69/10.06 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 9.69/10.06 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 9.69/10.06 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 9.69/10.06 ) ) ) }.
% 9.69/10.06 (15) {G0,W27,D8,L1,V3,M1} I { join( meet( composition( X, Y ), Z ), meet(
% 9.69/10.06 composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ) ==>
% 9.69/10.06 meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z )
% 9.69/10.06 }.
% 9.69/10.06 (16) {G0,W31,D5,L2,V0,M2} I { ! join( converse( meet( skol1, skol2 ) ),
% 9.69/10.06 meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet( converse( skol1
% 9.69/10.06 ), converse( skol2 ) ), ! join( meet( converse( skol1 ), converse( skol2
% 9.69/10.06 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse( meet( skol1, skol2
% 9.69/10.06 ) ) }.
% 9.69/10.06 (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X ) ==> top }.
% 9.69/10.06 (18) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) = join( join( Y
% 9.69/10.06 , Z ), X ) }.
% 9.69/10.06 (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X ) = join(
% 9.69/10.06 join( Z, X ), Y ) }.
% 9.69/10.06 (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ), complement( X ) )
% 9.69/10.06 ==> join( Y, top ) }.
% 9.69/10.06 (21) {G2,W10,D6,L1,V2,M1} P(17,1) { join( join( complement( join( X, Y ) )
% 9.69/10.06 , X ), Y ) ==> top }.
% 9.69/10.06 (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ), complement( Y ) )
% 9.69/10.06 ==> join( X, top ) }.
% 9.69/10.06 (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement( complement( X )
% 9.69/10.06 ) ) ==> join( X, top ) }.
% 9.69/10.06 (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement( complement( X ) ), top
% 9.69/10.06 ) ==> join( X, top ) }.
% 9.69/10.06 (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ), complement( join
% 9.69/10.06 ( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.06 (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition( converse( X ), Y
% 9.69/10.06 ) ) ==> composition( converse( Y ), X ) }.
% 9.69/10.06 (41) {G1,W9,D4,L1,V2,M1} P(8,0);d(8) { converse( join( X, Y ) ) = converse
% 9.69/10.06 ( join( Y, X ) ) }.
% 9.69/10.06 (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X ), Y ) ) ==>
% 9.69/10.06 join( X, converse( Y ) ) }.
% 9.69/10.06 (43) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( Y, converse( X ) ) ) ==>
% 9.69/10.06 join( converse( Y ), X ) }.
% 9.69/10.06 (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X, Y ) }.
% 9.69/10.06 (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==> zero }.
% 9.69/10.06 (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero, complement( X )
% 9.69/10.06 ) ) ==> meet( top, X ) }.
% 9.69/10.06 (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( complement( X ), zero
% 9.69/10.06 ) ) ==> meet( X, top ) }.
% 9.69/10.06 (65) {G2,W5,D3,L1,V0,M1} P(58,17) { join( zero, top ) ==> top }.
% 9.69/10.06 (68) {G3,W9,D4,L1,V1,M1} P(65,1) { join( join( X, zero ), top ) ==> join( X
% 9.69/10.06 , top ) }.
% 9.69/10.06 (82) {G2,W11,D6,L1,V1,M1} P(58,10) { join( composition( converse( X ),
% 9.69/10.06 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 9.69/10.06 (90) {G1,W11,D5,L1,V1,M1} P(5,10) { join( composition( converse( X ),
% 9.69/10.06 complement( X ) ), complement( one ) ) ==> complement( one ) }.
% 9.69/10.06 (116) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet( composition( X, Y )
% 9.69/10.06 , Z ), top ) ==> top }.
% 9.69/10.06 (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top ) ==> top }.
% 9.69/10.06 (142) {G4,W10,D5,L1,V2,M1} P(130,26) { join( top, complement( meet( X, Y )
% 9.69/10.06 ) ) ==> join( top, top ) }.
% 9.69/10.06 (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join( complement( X ),
% 9.69/10.06 top ) ==> join( top, top ) }.
% 9.69/10.06 (168) {G6,W5,D3,L1,V0,M1} P(60,163);d(130) { join( top, top ) ==> top }.
% 9.69/10.06 (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==> top }.
% 9.69/10.06 (174) {G8,W5,D3,L1,V1,M1} P(171,0) { join( top, X ) ==> top }.
% 9.69/10.06 (176) {G1,W31,D5,L2,V0,M2} P(0,16) { ! join( converse( meet( skol1, skol2 )
% 9.69/10.06 ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet( converse(
% 9.69/10.06 skol1 ), converse( skol2 ) ), ! join( converse( meet( skol1, skol2 ) ),
% 9.69/10.06 meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse( meet( skol1
% 9.69/10.06 , skol2 ) ) }.
% 9.69/10.06 (202) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top ) ) ==>
% 9.69/10.06 converse( top ) }.
% 9.69/10.06 (208) {G9,W4,D3,L1,V0,M1} P(202,174) { converse( top ) ==> top }.
% 9.69/10.06 (269) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse( one ), X )
% 9.69/10.06 ==> X }.
% 9.69/10.06 (275) {G3,W4,D3,L1,V0,M1} P(269,5) { converse( one ) ==> one }.
% 9.69/10.06 (277) {G4,W5,D3,L1,V1,M1} P(275,269) { composition( one, X ) ==> X }.
% 9.69/10.06 (282) {G5,W8,D4,L1,V1,M1} P(277,10);d(269) { join( complement( X ),
% 9.69/10.06 complement( X ) ) ==> complement( X ) }.
% 9.69/10.06 (290) {G6,W7,D4,L1,V1,M1} P(282,3) { complement( complement( X ) ) = meet(
% 9.69/10.06 X, X ) }.
% 9.69/10.06 (315) {G7,W7,D5,L1,V1,M1} P(290,30);d(17);d(58) { join( complement(
% 9.69/10.06 complement( X ) ), zero ) ==> X }.
% 9.69/10.06 (320) {G10,W7,D4,L1,V1,M1} P(202,30);d(208);d(58) { join( meet( X, top ),
% 9.69/10.06 zero ) ==> X }.
% 9.69/10.06 (332) {G8,W8,D5,L1,V2,M1} P(30,26);d(171) { join( X, complement( meet( X, Y
% 9.69/10.06 ) ) ) ==> top }.
% 9.69/10.06 (334) {G2,W7,D4,L1,V1,M1} P(17,30);d(58) { join( meet( X, X ), zero ) ==> X
% 9.69/10.06 }.
% 9.69/10.06 (339) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X, X ) ) ==> X
% 9.69/10.06 }.
% 9.69/10.06 (344) {G11,W7,D4,L1,V1,M1} P(56,320) { join( meet( top, X ), zero ) ==> X
% 9.69/10.06 }.
% 9.69/10.06 (346) {G11,W6,D4,L1,V1,M1} P(320,20);d(171) { join( X, complement( zero ) )
% 9.69/10.06 ==> top }.
% 9.69/10.06 (349) {G12,W4,D3,L1,V0,M1} P(346,282) { complement( zero ) ==> top }.
% 9.69/10.06 (350) {G12,W5,D3,L1,V1,M1} P(346,3);d(58) { meet( X, zero ) ==> zero }.
% 9.69/10.06 (352) {G13,W5,D3,L1,V1,M1} P(349,3);d(174);d(58) { meet( zero, X ) ==> zero
% 9.69/10.06 }.
% 9.69/10.06 (359) {G12,W7,D4,L1,V1,M1} P(344,0) { join( zero, meet( top, X ) ) ==> X
% 9.69/10.06 }.
% 9.69/10.06 (367) {G13,W7,D4,L1,V1,M1} P(315,30);d(350) { join( zero, complement( X ) )
% 9.69/10.06 ==> complement( X ) }.
% 9.69/10.06 (377) {G14,W5,D3,L1,V1,M1} P(290,367);d(339) { meet( X, X ) ==> X }.
% 9.69/10.06 (378) {G14,W11,D4,L1,V2,M1} P(367,19) { join( join( zero, Y ), complement(
% 9.69/10.06 X ) ) ==> join( complement( X ), Y ) }.
% 9.69/10.06 (382) {G14,W7,D4,L1,V1,M1} P(367,59) { meet( top, X ) ==> complement(
% 9.69/10.06 complement( X ) ) }.
% 9.69/10.06 (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement( complement
% 9.69/10.06 ( X ) ) ==> X }.
% 9.69/10.06 (387) {G15,W5,D3,L1,V1,M1} P(377,339) { join( zero, X ) ==> X }.
% 9.69/10.06 (388) {G15,W5,D3,L1,V1,M1} P(377,334) { join( X, zero ) ==> X }.
% 9.69/10.06 (392) {G16,W6,D4,L1,V1,M1} P(388,42);d(7) { join( X, converse( zero ) ) ==>
% 9.69/10.06 X }.
% 9.69/10.06 (394) {G16,W5,D3,L1,V1,M1} P(383,282) { join( X, X ) ==> X }.
% 9.69/10.06 (396) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join( X, complement( Y )
% 9.69/10.06 ) ) ==> meet( complement( X ), Y ) }.
% 9.69/10.06 (397) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join( complement( Y ), X
% 9.69/10.06 ) ) ==> meet( Y, complement( X ) ) }.
% 9.69/10.06 (398) {G16,W10,D4,L1,V2,M1} P(3,383) { join( complement( X ), complement( Y
% 9.69/10.06 ) ) ==> complement( meet( X, Y ) ) }.
% 9.69/10.06 (399) {G17,W9,D4,L1,V2,M1} P(394,19);d(1);d(394) { join( join( X, Y ), Y )
% 9.69/10.06 ==> join( X, Y ) }.
% 9.69/10.06 (400) {G17,W9,D4,L1,V2,M1} P(394,19) { join( join( X, Y ), X ) ==> join( X
% 9.69/10.06 , Y ) }.
% 9.69/10.06 (402) {G17,W4,D3,L1,V0,M1} P(392,387) { converse( zero ) ==> zero }.
% 9.69/10.06 (432) {G15,W8,D5,L1,V2,M1} P(332,21);d(58);d(378) { join( complement( meet
% 9.69/10.06 ( X, Y ) ), X ) ==> top }.
% 9.69/10.06 (446) {G16,W8,D5,L1,V2,M1} P(56,432) { join( complement( meet( Y, X ) ), X
% 9.69/10.06 ) ==> top }.
% 9.69/10.06 (449) {G17,W9,D4,L1,V2,M1} P(446,30);d(58);d(388) { meet( meet( X, Y ), Y )
% 9.69/10.06 ==> meet( X, Y ) }.
% 9.69/10.06 (454) {G17,W8,D5,L1,V2,M1} P(446,3);d(58) { meet( meet( X, complement( Y )
% 9.69/10.06 ), Y ) ==> zero }.
% 9.69/10.06 (460) {G18,W8,D4,L1,V2,M1} P(383,454) { meet( meet( Y, X ), complement( X )
% 9.69/10.06 ) ==> zero }.
% 9.69/10.06 (461) {G18,W8,D5,L1,V2,M1} P(454,56) { meet( Y, meet( X, complement( Y ) )
% 9.69/10.06 ) ==> zero }.
% 9.69/10.06 (462) {G19,W8,D4,L1,V2,M1} P(460,56) { meet( complement( Y ), meet( X, Y )
% 9.69/10.06 ) ==> zero }.
% 9.69/10.06 (465) {G20,W8,D4,L1,V2,M1} P(56,462) { meet( complement( Y ), meet( Y, X )
% 9.69/10.06 ) ==> zero }.
% 9.69/10.06 (468) {G19,W9,D6,L1,V2,M1} P(461,30);d(367);d(397) { meet( X, complement(
% 9.69/10.06 meet( Y, complement( X ) ) ) ) ==> X }.
% 9.69/10.06 (482) {G18,W9,D4,L1,V2,M1} P(449,56) { meet( Y, meet( X, Y ) ) ==> meet( X
% 9.69/10.06 , Y ) }.
% 9.69/10.06 (488) {G18,W8,D5,L1,V2,M1} P(30,399);d(397) { join( X, meet( X, complement
% 9.69/10.06 ( Y ) ) ) ==> X }.
% 9.69/10.06 (497) {G19,W7,D4,L1,V2,M1} P(383,488) { join( Y, meet( Y, X ) ) ==> Y }.
% 9.69/10.06 (512) {G20,W7,D4,L1,V2,M1} P(482,497) { join( X, meet( Y, X ) ) ==> X }.
% 9.69/10.06 (527) {G20,W7,D4,L1,V2,M1} P(497,0) { join( meet( X, Y ), X ) ==> X }.
% 9.69/10.06 (546) {G21,W7,D4,L1,V2,M1} P(512,0) { join( meet( Y, X ), X ) ==> X }.
% 9.69/10.06 (554) {G21,W11,D5,L1,V3,M1} P(527,18) { join( join( Z, meet( X, Y ) ), X )
% 9.69/10.06 ==> join( X, Z ) }.
% 9.69/10.06 (663) {G20,W9,D6,L1,V2,M1} P(468,482) { meet( complement( meet( Y,
% 9.69/10.06 complement( X ) ) ), X ) ==> X }.
% 9.69/10.06 (675) {G17,W10,D5,L1,V2,M1} P(383,398) { complement( meet( complement( X )
% 9.69/10.06 , Y ) ) ==> join( X, complement( Y ) ) }.
% 9.69/10.06 (676) {G17,W10,D5,L1,V2,M1} P(383,398) { complement( meet( Y, complement( X
% 9.69/10.06 ) ) ) ==> join( complement( Y ), X ) }.
% 9.69/10.06 (683) {G17,W9,D4,L1,V2,M1} P(398,0);d(398) { complement( meet( X, Y ) ) =
% 9.69/10.06 complement( meet( Y, X ) ) }.
% 9.69/10.06 (704) {G18,W11,D4,L1,V3,M1} P(683,3);d(3) { meet( meet( Y, X ), Z ) = meet
% 9.69/10.06 ( meet( X, Y ), Z ) }.
% 9.69/10.06 (811) {G21,W7,D4,L1,V2,M1} P(675,663);d(383) { meet( join( X, Y ), Y ) ==>
% 9.69/10.06 Y }.
% 9.69/10.06 (835) {G22,W7,D4,L1,V2,M1} P(400,811) { meet( join( X, Y ), X ) ==> X }.
% 9.69/10.06 (854) {G23,W8,D5,L1,V2,M1} P(835,465) { meet( complement( join( X, Y ) ), X
% 9.69/10.06 ) ==> zero }.
% 9.69/10.06 (949) {G16,W9,D5,L1,V1,M1} S(82);d(388) { composition( converse( X ),
% 9.69/10.06 complement( composition( X, top ) ) ) ==> zero }.
% 9.69/10.06 (983) {G17,W8,D5,L1,V0,M1} P(208,949) { composition( top, complement(
% 9.69/10.06 composition( top, top ) ) ) ==> zero }.
% 9.69/10.06 (988) {G18,W8,D5,L1,V1,M1} P(983,6);d(388);d(171);d(983) { composition( X,
% 9.69/10.06 complement( composition( top, top ) ) ) ==> zero }.
% 9.69/10.06 (989) {G19,W5,D3,L1,V1,M1} P(983,4);d(988) { composition( X, zero ) ==>
% 9.69/10.06 zero }.
% 9.69/10.06 (992) {G20,W5,D3,L1,V1,M1} P(989,37);d(402) { composition( zero, X ) ==>
% 9.69/10.06 zero }.
% 9.69/10.06 (1005) {G17,W10,D5,L1,V2,M1} S(30);d(397) { join( meet( X, Y ), meet( X,
% 9.69/10.06 complement( Y ) ) ) ==> X }.
% 9.69/10.06 (1194) {G24,W9,D5,L1,V1,M1} P(90,854);d(383) { meet( one, composition(
% 9.69/10.06 converse( X ), complement( X ) ) ) ==> zero }.
% 9.69/10.06 (1424) {G25,W9,D6,L1,V1,M1} P(383,1194) { meet( one, composition( converse
% 9.69/10.06 ( complement( X ) ), X ) ) ==> zero }.
% 9.69/10.06 (1449) {G26,W8,D6,L1,V1,M1} P(1424,15);d(277);d(992);d(352);d(388) { meet(
% 9.69/10.06 X, converse( complement( converse( X ) ) ) ) ==> zero }.
% 9.69/10.06 (1929) {G27,W9,D7,L1,V1,M1} P(1449,1005);d(387) { meet( X, complement(
% 9.69/10.06 converse( complement( converse( X ) ) ) ) ) ==> X }.
% 9.69/10.06 (1949) {G18,W10,D5,L1,V2,M1} P(56,1005) { join( meet( Y, X ), meet( X,
% 9.69/10.06 complement( Y ) ) ) ==> X }.
% 9.69/10.06 (2006) {G28,W9,D7,L1,V1,M1} P(1929,675);d(383);d(383) { join( X, converse(
% 9.69/10.06 complement( converse( complement( X ) ) ) ) ) ==> X }.
% 9.69/10.06 (2011) {G28,W13,D7,L1,V1,M1} P(1929,546) { join( X, complement( converse(
% 9.69/10.06 complement( converse( X ) ) ) ) ) ==> complement( converse( complement(
% 9.69/10.06 converse( X ) ) ) ) }.
% 9.69/10.06 (2041) {G29,W7,D6,L1,V1,M1} P(2006,42);d(7);d(7);d(2011) { complement(
% 9.69/10.06 converse( complement( converse( X ) ) ) ) ==> X }.
% 9.69/10.06 (2099) {G30,W7,D5,L1,V1,M1} P(2041,383) { converse( complement( converse( X
% 9.69/10.06 ) ) ) ==> complement( X ) }.
% 9.69/10.06 (2104) {G30,W7,D5,L1,V1,M1} P(7,2041) { complement( converse( complement( X
% 9.69/10.06 ) ) ) ==> converse( X ) }.
% 9.69/10.06 (2105) {G31,W7,D4,L1,V1,M1} P(2099,2041);d(2104) { converse( complement( X
% 9.69/10.06 ) ) ==> complement( converse( X ) ) }.
% 9.69/10.06 (2125) {G31,W12,D5,L1,V2,M1} P(2099,43) { join( converse( Y ), complement(
% 9.69/10.06 converse( X ) ) ) ==> converse( join( Y, complement( X ) ) ) }.
% 9.69/10.06 (2130) {G31,W9,D4,L1,V2,M1} P(41,2099);d(2099) { complement( join( Y, X ) )
% 9.69/10.06 = complement( join( X, Y ) ) }.
% 9.69/10.06 (2221) {G32,W10,D5,L1,V2,M1} P(2130,12) { meet( join( X, Y ), complement(
% 9.69/10.06 join( Y, X ) ) ) ==> zero }.
% 9.69/10.06 (2694) {G33,W11,D4,L1,V2,M1} P(2221,1005);d(387);d(383) { meet( join( X, Y
% 9.69/10.06 ), join( Y, X ) ) ==> join( X, Y ) }.
% 9.69/10.06 (2732) {G19,W10,D5,L1,V2,M1} P(1949,0) { join( meet( Y, complement( X ) ),
% 9.69/10.06 meet( X, Y ) ) ==> Y }.
% 9.69/10.06 (3009) {G32,W12,D6,L1,V2,M1} P(396,2105) { complement( converse( join( X,
% 9.69/10.06 complement( Y ) ) ) ) ==> converse( meet( complement( X ), Y ) ) }.
% 9.69/10.06 (6403) {G34,W11,D4,L1,V3,M1} P(2694,704);d(2694) { meet( join( X, Y ), Z )
% 9.69/10.06 = meet( join( Y, X ), Z ) }.
% 9.69/10.06 (8458) {G22,W10,D5,L1,V2,M1} P(2732,554) { join( Y, meet( X, complement( Y
% 9.69/10.06 ) ) ) ==> join( X, Y ) }.
% 9.69/10.06 (8486) {G35,W14,D6,L1,V3,M1} P(8458,6403) { meet( join( meet( Y, complement
% 9.69/10.06 ( X ) ), X ), Z ) ==> meet( join( Y, X ), Z ) }.
% 9.69/10.06 (8488) {G36,W10,D5,L1,V2,M1} P(8458,2694);d(8486);d(377) { join( meet( Y,
% 9.69/10.06 complement( X ) ), X ) ==> join( Y, X ) }.
% 9.69/10.06 (8503) {G23,W11,D5,L1,V2,M1} P(8458,397);d(396);d(676);d(398) { meet( X,
% 9.69/10.06 complement( meet( Y, X ) ) ) ==> meet( complement( Y ), X ) }.
% 9.69/10.06 (8533) {G37,W11,D5,L1,V2,M1} P(8488,396);d(396);d(676);d(398) { meet(
% 9.69/10.06 complement( meet( X, Y ) ), Y ) ==> meet( complement( X ), Y ) }.
% 9.69/10.06 (46416) {G33,W12,D5,L1,V2,M1} P(2125,396);d(3009) { meet( complement(
% 9.69/10.06 converse( X ) ), converse( Y ) ) ==> converse( meet( complement( X ), Y )
% 9.69/10.06 ) }.
% 9.69/10.06 (46420) {G33,W12,D5,L1,V2,M1} P(2125,2130);d(3009);d(397) { meet( converse
% 9.69/10.06 ( Y ), complement( converse( X ) ) ) ==> converse( meet( complement( X )
% 9.69/10.06 , Y ) ) }.
% 9.69/10.06 (46441) {G38,W10,D4,L1,V2,M1} P(46416,8503);d(46420);d(8533);d(383);d(383)
% 9.69/10.06 { meet( converse( X ), converse( Y ) ) ==> converse( meet( X, Y ) ) }.
% 9.69/10.06 (46462) {G39,W0,D0,L0,V0,M0} P(46441,176);f;d(394);q { }.
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 % SZS output end Refutation
% 9.69/10.06 found a proof!
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Unprocessed initial clauses:
% 9.69/10.06
% 9.69/10.06 (46464) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 9.69/10.06 (46465) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join( join( X, Y
% 9.69/10.06 ), Z ) }.
% 9.69/10.06 (46466) {G0,W14,D6,L1,V2,M1} { X = join( complement( join( complement( X )
% 9.69/10.06 , complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.06 (46467) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join( complement
% 9.69/10.06 ( X ), complement( Y ) ) ) }.
% 9.69/10.06 (46468) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z ) ) =
% 9.69/10.06 composition( composition( X, Y ), Z ) }.
% 9.69/10.06 (46469) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 9.69/10.06 (46470) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z ) = join(
% 9.69/10.06 composition( X, Z ), composition( Y, Z ) ) }.
% 9.69/10.06 (46471) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 9.69/10.06 (46472) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join( converse(
% 9.69/10.06 X ), converse( Y ) ) }.
% 9.69/10.06 (46473) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) ) =
% 9.69/10.06 composition( converse( Y ), converse( X ) ) }.
% 9.69/10.06 (46474) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 9.69/10.06 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 9.69/10.06 }.
% 9.69/10.06 (46475) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) ) }.
% 9.69/10.06 (46476) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X ) ) }.
% 9.69/10.06 (46477) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z ),
% 9.69/10.06 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 9.69/10.06 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 9.69/10.06 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 9.69/10.06 (46478) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet
% 9.69/10.06 ( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z ) ) =
% 9.69/10.06 meet( composition( X, meet( Y, composition( converse( X ), Z ) ) ), Z )
% 9.69/10.06 }.
% 9.69/10.06 (46479) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z ), meet
% 9.69/10.06 ( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z ) ) =
% 9.69/10.06 meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z )
% 9.69/10.06 }.
% 9.69/10.06 (46480) {G0,W31,D5,L2,V0,M2} { ! join( converse( meet( skol1, skol2 ) ),
% 9.69/10.06 meet( converse( skol1 ), converse( skol2 ) ) ) = meet( converse( skol1 )
% 9.69/10.06 , converse( skol2 ) ), ! join( meet( converse( skol1 ), converse( skol2 )
% 9.69/10.06 ), converse( meet( skol1, skol2 ) ) ) = converse( meet( skol1, skol2 ) )
% 9.69/10.06 }.
% 9.69/10.06
% 9.69/10.06
% 9.69/10.06 Total Proof:
% 9.69/10.06
% 9.69/10.06 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.06 parent0: (46464) {G0,W7,D3,L1,V2,M1} { join( X, Y ) = join( Y, X ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join
% 9.69/10.06 ( join( X, Y ), Z ) }.
% 9.69/10.06 parent0: (46465) {G0,W11,D4,L1,V3,M1} { join( X, join( Y, Z ) ) = join(
% 9.69/10.06 join( X, Y ), Z ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46483) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement
% 9.69/10.06 ( X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) =
% 9.69/10.06 X }.
% 9.69/10.06 parent0[0]: (46466) {G0,W14,D6,L1,V2,M1} { X = join( complement( join(
% 9.69/10.06 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 9.69/10.06 Y ) ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 9.69/10.06 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 9.69/10.06 Y ) ) ) ==> X }.
% 9.69/10.06 parent0: (46483) {G0,W14,D6,L1,V2,M1} { join( complement( join( complement
% 9.69/10.06 ( X ), complement( Y ) ) ), complement( join( complement( X ), Y ) ) ) =
% 9.69/10.06 X }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46486) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 9.69/10.06 complement( Y ) ) ) = meet( X, Y ) }.
% 9.69/10.06 parent0[0]: (46467) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) = complement( join
% 9.69/10.06 ( complement( X ), complement( Y ) ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.06 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.06 parent0: (46486) {G0,W10,D5,L1,V2,M1} { complement( join( complement( X )
% 9.69/10.06 , complement( Y ) ) ) = meet( X, Y ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 9.69/10.06 ) ) ==> composition( composition( X, Y ), Z ) }.
% 9.69/10.06 parent0: (46468) {G0,W11,D4,L1,V3,M1} { composition( X, composition( Y, Z
% 9.69/10.06 ) ) = composition( composition( X, Y ), Z ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 9.69/10.06 parent0: (46469) {G0,W5,D3,L1,V1,M1} { composition( X, one ) = X }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46501) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 9.69/10.06 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 9.69/10.06 parent0[0]: (46470) {G0,W13,D4,L1,V3,M1} { composition( join( X, Y ), Z )
% 9.69/10.06 = join( composition( X, Z ), composition( Y, Z ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 9.69/10.06 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 9.69/10.06 parent0: (46501) {G0,W13,D4,L1,V3,M1} { join( composition( X, Z ),
% 9.69/10.06 composition( Y, Z ) ) = composition( join( X, Y ), Z ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X
% 9.69/10.06 }.
% 9.69/10.06 parent0: (46471) {G0,W5,D4,L1,V1,M1} { converse( converse( X ) ) = X }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46516) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y )
% 9.69/10.06 ) = converse( join( X, Y ) ) }.
% 9.69/10.06 parent0[0]: (46472) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) = join
% 9.69/10.06 ( converse( X ), converse( Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y
% 9.69/10.06 ) ) ==> converse( join( X, Y ) ) }.
% 9.69/10.06 parent0: (46516) {G0,W10,D4,L1,V2,M1} { join( converse( X ), converse( Y )
% 9.69/10.06 ) = converse( join( X, Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46525) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ),
% 9.69/10.06 converse( X ) ) = converse( composition( X, Y ) ) }.
% 9.69/10.06 parent0[0]: (46473) {G0,W10,D4,L1,V2,M1} { converse( composition( X, Y ) )
% 9.69/10.06 = composition( converse( Y ), converse( X ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 9.69/10.06 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 9.69/10.06 parent0: (46525) {G0,W10,D4,L1,V2,M1} { composition( converse( Y ),
% 9.69/10.06 converse( X ) ) = converse( composition( X, Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 9.69/10.06 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 9.69/10.06 Y ) }.
% 9.69/10.06 parent0: (46474) {G0,W13,D6,L1,V2,M1} { join( composition( converse( X ),
% 9.69/10.06 complement( composition( X, Y ) ) ), complement( Y ) ) = complement( Y )
% 9.69/10.06 }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46546) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top }.
% 9.69/10.06 parent0[0]: (46475) {G0,W6,D4,L1,V1,M1} { top = join( X, complement( X ) )
% 9.69/10.06 }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==>
% 9.69/10.06 top }.
% 9.69/10.06 parent0: (46546) {G0,W6,D4,L1,V1,M1} { join( X, complement( X ) ) = top
% 9.69/10.06 }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46558) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero
% 9.69/10.06 }.
% 9.69/10.06 parent0[0]: (46476) {G0,W6,D4,L1,V1,M1} { zero = meet( X, complement( X )
% 9.69/10.06 ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 9.69/10.06 zero }.
% 9.69/10.06 parent0: (46558) {G0,W6,D4,L1,V1,M1} { meet( X, complement( X ) ) = zero
% 9.69/10.06 }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y )
% 9.69/10.06 , Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 9.69/10.06 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 9.69/10.06 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 9.69/10.06 ) ) ) }.
% 9.69/10.06 parent0: (46477) {G0,W33,D7,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 9.69/10.06 ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 9.69/10.06 composition( converse( X ), Z ) ) ) ) = composition( meet( X, composition
% 9.69/10.06 ( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (15) {G0,W27,D8,L1,V3,M1} I { join( meet( composition( X, Y )
% 9.69/10.06 , Z ), meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y )
% 9.69/10.06 , Z ) ) ==> meet( composition( meet( X, composition( Z, converse( Y ) ) )
% 9.69/10.06 , Y ), Z ) }.
% 9.69/10.06 parent0: (46479) {G0,W27,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 9.69/10.06 ), meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ), Z
% 9.69/10.06 ) ) = meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y )
% 9.69/10.06 , Z ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (16) {G0,W31,D5,L2,V0,M2} I { ! join( converse( meet( skol1,
% 9.69/10.06 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet(
% 9.69/10.06 converse( skol1 ), converse( skol2 ) ), ! join( meet( converse( skol1 ),
% 9.69/10.06 converse( skol2 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse(
% 9.69/10.06 meet( skol1, skol2 ) ) }.
% 9.69/10.06 parent0: (46480) {G0,W31,D5,L2,V0,M2} { ! join( converse( meet( skol1,
% 9.69/10.06 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) = meet(
% 9.69/10.06 converse( skol1 ), converse( skol2 ) ), ! join( meet( converse( skol1 ),
% 9.69/10.06 converse( skol2 ) ), converse( meet( skol1, skol2 ) ) ) = converse( meet
% 9.69/10.06 ( skol1, skol2 ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 1 ==> 1
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46605) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement( X ) )
% 9.69/10.06 }.
% 9.69/10.06 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 9.69/10.06 }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46606) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 9.69/10.06 }.
% 9.69/10.06 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.06 parent1[0; 2]: (46605) {G0,W6,D4,L1,V1,M1} { top ==> join( X, complement(
% 9.69/10.06 X ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := complement( X )
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46609) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 9.69/10.06 }.
% 9.69/10.06 parent0[0]: (46606) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X
% 9.69/10.06 ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 9.69/10.06 ==> top }.
% 9.69/10.06 parent0: (46609) {G1,W6,D4,L1,V1,M1} { join( complement( X ), X ) ==> top
% 9.69/10.06 }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46610) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 9.69/10.06 , join( Y, Z ) ) }.
% 9.69/10.06 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 9.69/10.06 join( X, Y ), Z ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46613) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 9.69/10.06 join( Y, Z ), X ) }.
% 9.69/10.06 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.06 parent1[0; 6]: (46610) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 9.69/10.06 join( X, join( Y, Z ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := join( Y, Z )
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (18) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) =
% 9.69/10.06 join( join( Y, Z ), X ) }.
% 9.69/10.06 parent0: (46613) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 9.69/10.06 join( Y, Z ), X ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46627) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 9.69/10.06 , join( Y, Z ) ) }.
% 9.69/10.06 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 9.69/10.06 join( X, Y ), Z ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46632) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 9.69/10.06 X, join( Z, Y ) ) }.
% 9.69/10.06 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.06 parent1[0; 8]: (46627) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 9.69/10.06 join( X, join( Y, Z ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := Y
% 9.69/10.06 Y := Z
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46645) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 9.69/10.06 join( X, Z ), Y ) }.
% 9.69/10.06 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 9.69/10.06 join( X, Y ), Z ) }.
% 9.69/10.06 parent1[0; 6]: (46632) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 9.69/10.06 join( X, join( Z, Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Z
% 9.69/10.06 Z := Y
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X
% 9.69/10.06 ) = join( join( Z, X ), Y ) }.
% 9.69/10.06 parent0: (46645) {G1,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join(
% 9.69/10.06 join( X, Z ), Y ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := Z
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46647) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 9.69/10.06 , join( Y, Z ) ) }.
% 9.69/10.06 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 9.69/10.06 join( X, Y ), Z ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46650) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y
% 9.69/10.06 ) ) ==> join( X, top ) }.
% 9.69/10.06 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 9.69/10.06 }.
% 9.69/10.06 parent1[0; 9]: (46647) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 9.69/10.06 join( X, join( Y, Z ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := Y
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := complement( Y )
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 9.69/10.06 complement( X ) ) ==> join( Y, top ) }.
% 9.69/10.06 parent0: (46650) {G1,W10,D4,L1,V2,M1} { join( join( X, Y ), complement( Y
% 9.69/10.06 ) ) ==> join( X, top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := Y
% 9.69/10.06 Y := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46654) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 9.69/10.06 }.
% 9.69/10.06 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 9.69/10.06 ==> top }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46656) {G1,W10,D6,L1,V2,M1} { top ==> join( join( complement(
% 9.69/10.06 join( X, Y ) ), X ), Y ) }.
% 9.69/10.06 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 9.69/10.06 join( X, Y ), Z ) }.
% 9.69/10.06 parent1[0; 2]: (46654) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 9.69/10.06 , X ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := complement( join( X, Y ) )
% 9.69/10.06 Y := X
% 9.69/10.06 Z := Y
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := join( X, Y )
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46657) {G1,W10,D6,L1,V2,M1} { join( join( complement( join( X, Y
% 9.69/10.06 ) ), X ), Y ) ==> top }.
% 9.69/10.06 parent0[0]: (46656) {G1,W10,D6,L1,V2,M1} { top ==> join( join( complement
% 9.69/10.06 ( join( X, Y ) ), X ), Y ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (21) {G2,W10,D6,L1,V2,M1} P(17,1) { join( join( complement(
% 9.69/10.06 join( X, Y ) ), X ), Y ) ==> top }.
% 9.69/10.06 parent0: (46657) {G1,W10,D6,L1,V2,M1} { join( join( complement( join( X, Y
% 9.69/10.06 ) ), X ), Y ) ==> top }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46658) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 9.69/10.06 ), complement( Y ) ) }.
% 9.69/10.06 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 9.69/10.06 complement( X ) ) ==> join( Y, top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := Y
% 9.69/10.06 Y := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46661) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( Y,
% 9.69/10.06 X ), complement( Y ) ) }.
% 9.69/10.06 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.06 parent1[0; 5]: (46658) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 9.69/10.06 join( X, Y ), complement( Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46674) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y )
% 9.69/10.06 ) ==> join( X, top ) }.
% 9.69/10.06 parent0[0]: (46661) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join(
% 9.69/10.06 Y, X ), complement( Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 9.69/10.06 complement( Y ) ) ==> join( X, top ) }.
% 9.69/10.06 parent0: (46674) {G1,W10,D4,L1,V2,M1} { join( join( Y, X ), complement( Y
% 9.69/10.06 ) ) ==> join( X, top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46676) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 9.69/10.06 ), complement( Y ) ) }.
% 9.69/10.06 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 9.69/10.06 complement( X ) ) ==> join( Y, top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := Y
% 9.69/10.06 Y := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46677) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 9.69/10.06 complement( complement( X ) ) ) }.
% 9.69/10.06 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 9.69/10.06 }.
% 9.69/10.06 parent1[0; 5]: (46676) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 9.69/10.06 join( X, Y ), complement( Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := complement( X )
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46678) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement( X
% 9.69/10.06 ) ) ) ==> join( X, top ) }.
% 9.69/10.06 parent0[0]: (46677) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 9.69/10.06 complement( complement( X ) ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 9.69/10.06 complement( X ) ) ) ==> join( X, top ) }.
% 9.69/10.06 parent0: (46678) {G1,W9,D5,L1,V1,M1} { join( top, complement( complement(
% 9.69/10.06 X ) ) ) ==> join( X, top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46679) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 9.69/10.06 complement( complement( X ) ) ) }.
% 9.69/10.06 parent0[0]: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 9.69/10.06 complement( X ) ) ) ==> join( X, top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46681) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join( complement
% 9.69/10.06 ( complement( X ) ), top ) }.
% 9.69/10.06 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.06 parent1[0; 4]: (46679) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top
% 9.69/10.06 , complement( complement( X ) ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := top
% 9.69/10.06 Y := complement( complement( X ) )
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46687) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) )
% 9.69/10.06 , top ) ==> join( X, top ) }.
% 9.69/10.06 parent0[0]: (46681) {G1,W9,D5,L1,V1,M1} { join( X, top ) ==> join(
% 9.69/10.06 complement( complement( X ) ), top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement(
% 9.69/10.06 complement( X ) ), top ) ==> join( X, top ) }.
% 9.69/10.06 parent0: (46687) {G1,W9,D5,L1,V1,M1} { join( complement( complement( X ) )
% 9.69/10.06 , top ) ==> join( X, top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46690) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 9.69/10.06 join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.06 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.06 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.06 parent1[0; 2]: (2) {G0,W14,D6,L1,V2,M1} I { join( complement( join(
% 9.69/10.06 complement( X ), complement( Y ) ) ), complement( join( complement( X ),
% 9.69/10.06 Y ) ) ) ==> X }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 9.69/10.06 complement( join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.06 parent0: (46690) {G1,W11,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 9.69/10.06 join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46693) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X ) ) ==>
% 9.69/10.06 composition( converse( X ), converse( Y ) ) }.
% 9.69/10.06 parent0[0]: (9) {G0,W10,D4,L1,V2,M1} I { composition( converse( Y ),
% 9.69/10.06 converse( X ) ) ==> converse( composition( X, Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := Y
% 9.69/10.06 Y := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46695) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 9.69/10.06 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 9.69/10.06 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 9.69/10.06 parent1[0; 9]: (46693) {G0,W10,D4,L1,V2,M1} { converse( composition( Y, X
% 9.69/10.06 ) ) ==> composition( converse( X ), converse( Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := Y
% 9.69/10.06 Y := converse( X )
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 9.69/10.06 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 9.69/10.06 parent0: (46695) {G1,W10,D5,L1,V2,M1} { converse( composition( converse( X
% 9.69/10.06 ), Y ) ) ==> composition( converse( Y ), X ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46698) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 9.69/10.06 converse( X ), converse( Y ) ) }.
% 9.69/10.06 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 9.69/10.06 ) ==> converse( join( X, Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46700) {G1,W10,D4,L1,V2,M1} { converse( join( Y, X ) ) ==> join
% 9.69/10.06 ( converse( X ), converse( Y ) ) }.
% 9.69/10.06 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.06 parent1[0; 2]: (46698) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 9.69/10.06 join( converse( X ), converse( Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46702) {G1,W9,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 9.69/10.06 converse( join( Y, X ) ) }.
% 9.69/10.06 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 9.69/10.06 ) ==> converse( join( X, Y ) ) }.
% 9.69/10.06 parent1[0; 5]: (46700) {G1,W10,D4,L1,V2,M1} { converse( join( Y, X ) ) ==>
% 9.69/10.06 join( converse( X ), converse( Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := Y
% 9.69/10.06 Y := X
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := Y
% 9.69/10.06 Y := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (41) {G1,W9,D4,L1,V2,M1} P(8,0);d(8) { converse( join( X, Y )
% 9.69/10.06 ) = converse( join( Y, X ) ) }.
% 9.69/10.06 parent0: (46702) {G1,W9,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 9.69/10.06 converse( join( Y, X ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46704) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 9.69/10.06 converse( X ), converse( Y ) ) }.
% 9.69/10.06 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 9.69/10.06 ) ==> converse( join( X, Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46705) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 9.69/10.06 ) ==> join( X, converse( Y ) ) }.
% 9.69/10.06 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 9.69/10.06 parent1[0; 7]: (46704) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 9.69/10.06 join( converse( X ), converse( Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := converse( X )
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 9.69/10.06 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 9.69/10.06 parent0: (46705) {G1,W10,D5,L1,V2,M1} { converse( join( converse( X ), Y )
% 9.69/10.06 ) ==> join( X, converse( Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46710) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==> join(
% 9.69/10.06 converse( X ), converse( Y ) ) }.
% 9.69/10.06 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { join( converse( X ), converse( Y )
% 9.69/10.06 ) ==> converse( join( X, Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46712) {G1,W10,D5,L1,V2,M1} { converse( join( X, converse( Y ) )
% 9.69/10.06 ) ==> join( converse( X ), Y ) }.
% 9.69/10.06 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 9.69/10.06 parent1[0; 9]: (46710) {G0,W10,D4,L1,V2,M1} { converse( join( X, Y ) ) ==>
% 9.69/10.06 join( converse( X ), converse( Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := Y
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := converse( Y )
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (43) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( Y, converse
% 9.69/10.06 ( X ) ) ) ==> join( converse( Y ), X ) }.
% 9.69/10.06 parent0: (46712) {G1,W10,D5,L1,V2,M1} { converse( join( X, converse( Y ) )
% 9.69/10.06 ) ==> join( converse( X ), Y ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := Y
% 9.69/10.06 Y := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46715) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 9.69/10.06 complement( X ), complement( Y ) ) ) }.
% 9.69/10.06 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.06 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46717) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join
% 9.69/10.06 ( complement( Y ), complement( X ) ) ) }.
% 9.69/10.06 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.06 parent1[0; 5]: (46715) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 9.69/10.06 ( join( complement( X ), complement( Y ) ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := complement( X )
% 9.69/10.06 Y := complement( Y )
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46719) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 9.69/10.06 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.06 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.06 parent1[0; 4]: (46717) {G1,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 9.69/10.06 ( join( complement( Y ), complement( X ) ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := Y
% 9.69/10.06 Y := X
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X
% 9.69/10.06 , Y ) }.
% 9.69/10.06 parent0: (46719) {G1,W7,D3,L1,V2,M1} { meet( X, Y ) ==> meet( Y, X ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := Y
% 9.69/10.06 Y := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46721) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 9.69/10.06 complement( X ), complement( Y ) ) ) }.
% 9.69/10.06 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.06 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46724) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) ) ==>
% 9.69/10.06 complement( top ) }.
% 9.69/10.06 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 9.69/10.06 }.
% 9.69/10.06 parent1[0; 6]: (46721) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 9.69/10.06 ( join( complement( X ), complement( Y ) ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := complement( X )
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := complement( X )
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46725) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 9.69/10.06 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 9.69/10.06 zero }.
% 9.69/10.06 parent1[0; 1]: (46724) {G1,W7,D4,L1,V1,M1} { meet( X, complement( X ) )
% 9.69/10.06 ==> complement( top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46726) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 9.69/10.06 parent0[0]: (46725) {G1,W4,D3,L1,V0,M1} { zero ==> complement( top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.06 zero }.
% 9.69/10.06 parent0: (46726) {G1,W4,D3,L1,V0,M1} { complement( top ) ==> zero }.
% 9.69/10.06 substitution0:
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46728) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 9.69/10.06 complement( X ), complement( Y ) ) ) }.
% 9.69/10.06 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.06 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46729) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join
% 9.69/10.06 ( zero, complement( X ) ) ) }.
% 9.69/10.06 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.06 zero }.
% 9.69/10.06 parent1[0; 6]: (46728) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 9.69/10.06 ( join( complement( X ), complement( Y ) ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := top
% 9.69/10.06 Y := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46731) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement(
% 9.69/10.06 X ) ) ) ==> meet( top, X ) }.
% 9.69/10.06 parent0[0]: (46729) {G1,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement(
% 9.69/10.06 join( zero, complement( X ) ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 9.69/10.06 complement( X ) ) ) ==> meet( top, X ) }.
% 9.69/10.06 parent0: (46731) {G1,W9,D5,L1,V1,M1} { complement( join( zero, complement
% 9.69/10.06 ( X ) ) ) ==> meet( top, X ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46734) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 9.69/10.06 complement( X ), complement( Y ) ) ) }.
% 9.69/10.06 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.06 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46736) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement( join
% 9.69/10.06 ( complement( X ), zero ) ) }.
% 9.69/10.06 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.06 zero }.
% 9.69/10.06 parent1[0; 8]: (46734) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 9.69/10.06 ( join( complement( X ), complement( Y ) ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := top
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46738) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 9.69/10.06 zero ) ) ==> meet( X, top ) }.
% 9.69/10.06 parent0[0]: (46736) {G1,W9,D5,L1,V1,M1} { meet( X, top ) ==> complement(
% 9.69/10.06 join( complement( X ), zero ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join(
% 9.69/10.06 complement( X ), zero ) ) ==> meet( X, top ) }.
% 9.69/10.06 parent0: (46738) {G1,W9,D5,L1,V1,M1} { complement( join( complement( X ),
% 9.69/10.06 zero ) ) ==> meet( X, top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46740) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X ), X )
% 9.69/10.06 }.
% 9.69/10.06 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 9.69/10.06 ==> top }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46741) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 9.69/10.06 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.06 zero }.
% 9.69/10.06 parent1[0; 3]: (46740) {G1,W6,D4,L1,V1,M1} { top ==> join( complement( X )
% 9.69/10.06 , X ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := top
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46742) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 9.69/10.06 parent0[0]: (46741) {G2,W5,D3,L1,V0,M1} { top ==> join( zero, top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (65) {G2,W5,D3,L1,V0,M1} P(58,17) { join( zero, top ) ==> top
% 9.69/10.06 }.
% 9.69/10.06 parent0: (46742) {G2,W5,D3,L1,V0,M1} { join( zero, top ) ==> top }.
% 9.69/10.06 substitution0:
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46744) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==> join( X
% 9.69/10.06 , join( Y, Z ) ) }.
% 9.69/10.06 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 9.69/10.06 join( X, Y ), Z ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46746) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 9.69/10.06 join( X, top ) }.
% 9.69/10.06 parent0[0]: (65) {G2,W5,D3,L1,V0,M1} P(58,17) { join( zero, top ) ==> top
% 9.69/10.06 }.
% 9.69/10.06 parent1[0; 8]: (46744) {G0,W11,D4,L1,V3,M1} { join( join( X, Y ), Z ) ==>
% 9.69/10.06 join( X, join( Y, Z ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := zero
% 9.69/10.06 Z := top
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (68) {G3,W9,D4,L1,V1,M1} P(65,1) { join( join( X, zero ), top
% 9.69/10.06 ) ==> join( X, top ) }.
% 9.69/10.06 parent0: (46746) {G1,W9,D4,L1,V1,M1} { join( join( X, zero ), top ) ==>
% 9.69/10.06 join( X, top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46750) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 9.69/10.06 composition( converse( X ), complement( composition( X, Y ) ) ),
% 9.69/10.06 complement( Y ) ) }.
% 9.69/10.06 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 9.69/10.06 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 9.69/10.06 Y ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46752) {G1,W12,D6,L1,V1,M1} { complement( top ) ==> join(
% 9.69/10.06 composition( converse( X ), complement( composition( X, top ) ) ), zero )
% 9.69/10.06 }.
% 9.69/10.06 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.06 zero }.
% 9.69/10.06 parent1[0; 11]: (46750) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 9.69/10.06 composition( converse( X ), complement( composition( X, Y ) ) ),
% 9.69/10.06 complement( Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := top
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46753) {G2,W11,D6,L1,V1,M1} { zero ==> join( composition(
% 9.69/10.06 converse( X ), complement( composition( X, top ) ) ), zero ) }.
% 9.69/10.06 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.06 zero }.
% 9.69/10.06 parent1[0; 1]: (46752) {G1,W12,D6,L1,V1,M1} { complement( top ) ==> join(
% 9.69/10.06 composition( converse( X ), complement( composition( X, top ) ) ), zero )
% 9.69/10.06 }.
% 9.69/10.06 substitution0:
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46755) {G2,W11,D6,L1,V1,M1} { join( composition( converse( X ),
% 9.69/10.06 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 9.69/10.06 parent0[0]: (46753) {G2,W11,D6,L1,V1,M1} { zero ==> join( composition(
% 9.69/10.06 converse( X ), complement( composition( X, top ) ) ), zero ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (82) {G2,W11,D6,L1,V1,M1} P(58,10) { join( composition(
% 9.69/10.06 converse( X ), complement( composition( X, top ) ) ), zero ) ==> zero }.
% 9.69/10.06 parent0: (46755) {G2,W11,D6,L1,V1,M1} { join( composition( converse( X ),
% 9.69/10.06 complement( composition( X, top ) ) ), zero ) ==> zero }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46758) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 9.69/10.06 composition( converse( X ), complement( composition( X, Y ) ) ),
% 9.69/10.06 complement( Y ) ) }.
% 9.69/10.06 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 9.69/10.06 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 9.69/10.06 Y ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46759) {G1,W11,D5,L1,V1,M1} { complement( one ) ==> join(
% 9.69/10.06 composition( converse( X ), complement( X ) ), complement( one ) ) }.
% 9.69/10.06 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 9.69/10.06 parent1[0; 8]: (46758) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 9.69/10.06 composition( converse( X ), complement( composition( X, Y ) ) ),
% 9.69/10.06 complement( Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := X
% 9.69/10.06 Y := one
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46760) {G1,W11,D5,L1,V1,M1} { join( composition( converse( X ),
% 9.69/10.06 complement( X ) ), complement( one ) ) ==> complement( one ) }.
% 9.69/10.06 parent0[0]: (46759) {G1,W11,D5,L1,V1,M1} { complement( one ) ==> join(
% 9.69/10.06 composition( converse( X ), complement( X ) ), complement( one ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 subsumption: (90) {G1,W11,D5,L1,V1,M1} P(5,10) { join( composition(
% 9.69/10.06 converse( X ), complement( X ) ), complement( one ) ) ==> complement( one
% 9.69/10.06 ) }.
% 9.69/10.06 parent0: (46760) {G1,W11,D5,L1,V1,M1} { join( composition( converse( X ),
% 9.69/10.06 complement( X ) ), complement( one ) ) ==> complement( one ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 end
% 9.69/10.06 permutation0:
% 9.69/10.06 0 ==> 0
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 eqswap: (46762) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 9.69/10.06 ), complement( Y ) ) }.
% 9.69/10.06 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 9.69/10.06 complement( X ) ) ==> join( Y, top ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := Y
% 9.69/10.06 Y := X
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46764) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 9.69/10.06 ), top ) ==> join( composition( meet( X, composition( Z, converse( Y ) )
% 9.69/10.06 ), meet( Y, composition( converse( X ), Z ) ) ), complement( composition
% 9.69/10.06 ( meet( X, composition( Z, converse( Y ) ) ), meet( Y, composition(
% 9.69/10.06 converse( X ), Z ) ) ) ) ) }.
% 9.69/10.06 parent0[0]: (13) {G0,W33,D7,L1,V3,M1} I { join( meet( composition( X, Y ),
% 9.69/10.06 Z ), composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 9.69/10.06 composition( converse( X ), Z ) ) ) ) ==> composition( meet( X,
% 9.69/10.06 composition( Z, converse( Y ) ) ), meet( Y, composition( converse( X ), Z
% 9.69/10.06 ) ) ) }.
% 9.69/10.06 parent1[0; 9]: (46762) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 9.69/10.06 join( X, Y ), complement( Y ) ) }.
% 9.69/10.06 substitution0:
% 9.69/10.06 X := X
% 9.69/10.06 Y := Y
% 9.69/10.06 Z := Z
% 9.69/10.06 end
% 9.69/10.06 substitution1:
% 9.69/10.06 X := meet( composition( X, Y ), Z )
% 9.69/10.06 Y := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 9.69/10.06 composition( converse( X ), Z ) ) )
% 9.69/10.06 end
% 9.69/10.06
% 9.69/10.06 paramod: (46765) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 9.69/10.07 ), top ) ==> top }.
% 9.69/10.07 parent0[0]: (11) {G0,W6,D4,L1,V1,M1} I { join( X, complement( X ) ) ==> top
% 9.69/10.07 }.
% 9.69/10.07 parent1[0; 8]: (46764) {G1,W36,D8,L1,V3,M1} { join( meet( composition( X,
% 9.69/10.07 Y ), Z ), top ) ==> join( composition( meet( X, composition( Z, converse
% 9.69/10.07 ( Y ) ) ), meet( Y, composition( converse( X ), Z ) ) ), complement(
% 9.69/10.07 composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 9.69/10.07 composition( converse( X ), Z ) ) ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := composition( meet( X, composition( Z, converse( Y ) ) ), meet( Y,
% 9.69/10.07 composition( converse( X ), Z ) ) )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 Z := Z
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (116) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet(
% 9.69/10.07 composition( X, Y ), Z ), top ) ==> top }.
% 9.69/10.07 parent0: (46765) {G1,W9,D5,L1,V3,M1} { join( meet( composition( X, Y ), Z
% 9.69/10.07 ), top ) ==> top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 Z := Z
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46768) {G2,W9,D5,L1,V3,M1} { top ==> join( meet( composition( X,
% 9.69/10.07 Y ), Z ), top ) }.
% 9.69/10.07 parent0[0]: (116) {G2,W9,D5,L1,V3,M1} P(13,20);d(11) { join( meet(
% 9.69/10.07 composition( X, Y ), Z ), top ) ==> top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 Z := Z
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46769) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top )
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 9.69/10.07 parent1[0; 4]: (46768) {G2,W9,D5,L1,V3,M1} { top ==> join( meet(
% 9.69/10.07 composition( X, Y ), Z ), top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := one
% 9.69/10.07 Z := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46770) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (46769) {G1,W7,D4,L1,V2,M1} { top ==> join( meet( X, Y ), top
% 9.69/10.07 ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top )
% 9.69/10.07 ==> top }.
% 9.69/10.07 parent0: (46770) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), top ) ==> top
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46772) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 9.69/10.07 ), complement( X ) ) }.
% 9.69/10.07 parent0[0]: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 9.69/10.07 complement( Y ) ) ==> join( X, top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46774) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top,
% 9.69/10.07 complement( meet( X, Y ) ) ) }.
% 9.69/10.07 parent0[0]: (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top )
% 9.69/10.07 ==> top }.
% 9.69/10.07 parent1[0; 5]: (46772) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join(
% 9.69/10.07 join( X, Y ), complement( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := meet( X, Y )
% 9.69/10.07 Y := top
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46776) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y )
% 9.69/10.07 ) ) ==> join( top, top ) }.
% 9.69/10.07 parent0[0]: (46774) {G3,W10,D5,L1,V2,M1} { join( top, top ) ==> join( top
% 9.69/10.07 , complement( meet( X, Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (142) {G4,W10,D5,L1,V2,M1} P(130,26) { join( top, complement(
% 9.69/10.07 meet( X, Y ) ) ) ==> join( top, top ) }.
% 9.69/10.07 parent0: (46776) {G3,W10,D5,L1,V2,M1} { join( top, complement( meet( X, Y
% 9.69/10.07 ) ) ) ==> join( top, top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46778) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top,
% 9.69/10.07 complement( complement( X ) ) ) }.
% 9.69/10.07 parent0[0]: (27) {G2,W9,D5,L1,V1,M1} P(11,20) { join( top, complement(
% 9.69/10.07 complement( X ) ) ) ==> join( X, top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46781) {G3,W13,D5,L1,V1,M1} { join( join( complement( X ), zero
% 9.69/10.07 ), top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 9.69/10.07 parent0[0]: (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( complement
% 9.69/10.07 ( X ), zero ) ) ==> meet( X, top ) }.
% 9.69/10.07 parent1[0; 10]: (46778) {G2,W9,D5,L1,V1,M1} { join( X, top ) ==> join( top
% 9.69/10.07 , complement( complement( X ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := join( complement( X ), zero )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46782) {G4,W10,D5,L1,V1,M1} { join( join( complement( X ), zero
% 9.69/10.07 ), top ) ==> join( top, top ) }.
% 9.69/10.07 parent0[0]: (142) {G4,W10,D5,L1,V2,M1} P(130,26) { join( top, complement(
% 9.69/10.07 meet( X, Y ) ) ) ==> join( top, top ) }.
% 9.69/10.07 parent1[0; 7]: (46781) {G3,W13,D5,L1,V1,M1} { join( join( complement( X )
% 9.69/10.07 , zero ), top ) ==> join( top, complement( meet( X, top ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := top
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46783) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 9.69/10.07 join( top, top ) }.
% 9.69/10.07 parent0[0]: (68) {G3,W9,D4,L1,V1,M1} P(65,1) { join( join( X, zero ), top )
% 9.69/10.07 ==> join( X, top ) }.
% 9.69/10.07 parent1[0; 1]: (46782) {G4,W10,D5,L1,V1,M1} { join( join( complement( X )
% 9.69/10.07 , zero ), top ) ==> join( top, top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := complement( X )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join(
% 9.69/10.07 complement( X ), top ) ==> join( top, top ) }.
% 9.69/10.07 parent0: (46783) {G4,W8,D4,L1,V1,M1} { join( complement( X ), top ) ==>
% 9.69/10.07 join( top, top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46786) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 9.69/10.07 complement( X ), top ) }.
% 9.69/10.07 parent0[0]: (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join(
% 9.69/10.07 complement( X ), top ) ==> join( top, top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46788) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join( meet( X
% 9.69/10.07 , top ), top ) }.
% 9.69/10.07 parent0[0]: (60) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( complement
% 9.69/10.07 ( X ), zero ) ) ==> meet( X, top ) }.
% 9.69/10.07 parent1[0; 5]: (46786) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 9.69/10.07 complement( X ), top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := join( complement( X ), zero )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46789) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 9.69/10.07 parent0[0]: (130) {G3,W7,D4,L1,V2,M1} P(5,116) { join( meet( X, Y ), top )
% 9.69/10.07 ==> top }.
% 9.69/10.07 parent1[0; 4]: (46788) {G3,W9,D4,L1,V1,M1} { join( top, top ) ==> join(
% 9.69/10.07 meet( X, top ), top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := top
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (168) {G6,W5,D3,L1,V0,M1} P(60,163);d(130) { join( top, top )
% 9.69/10.07 ==> top }.
% 9.69/10.07 parent0: (46789) {G4,W5,D3,L1,V0,M1} { join( top, top ) ==> top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46791) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 9.69/10.07 complement( X ), top ) }.
% 9.69/10.07 parent0[0]: (163) {G5,W8,D4,L1,V1,M1} P(60,27);d(142);d(68) { join(
% 9.69/10.07 complement( X ), top ) ==> join( top, top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46794) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X, top )
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (28) {G3,W9,D5,L1,V1,M1} P(27,0) { join( complement( complement
% 9.69/10.07 ( X ) ), top ) ==> join( X, top ) }.
% 9.69/10.07 parent1[0; 4]: (46791) {G5,W8,D4,L1,V1,M1} { join( top, top ) ==> join(
% 9.69/10.07 complement( X ), top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := complement( X )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46795) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 9.69/10.07 parent0[0]: (168) {G6,W5,D3,L1,V0,M1} P(60,163);d(130) { join( top, top )
% 9.69/10.07 ==> top }.
% 9.69/10.07 parent1[0; 1]: (46794) {G4,W7,D3,L1,V1,M1} { join( top, top ) ==> join( X
% 9.69/10.07 , top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46796) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 9.69/10.07 parent0[0]: (46795) {G5,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top )
% 9.69/10.07 ==> top }.
% 9.69/10.07 parent0: (46796) {G5,W5,D3,L1,V1,M1} { join( X, top ) ==> top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46797) {G7,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 9.69/10.07 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 9.69/10.07 top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46798) {G1,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 9.69/10.07 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.07 parent1[0; 2]: (46797) {G7,W5,D3,L1,V1,M1} { top ==> join( X, top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := top
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46801) {G1,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 9.69/10.07 parent0[0]: (46798) {G1,W5,D3,L1,V1,M1} { top ==> join( top, X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (174) {G8,W5,D3,L1,V1,M1} P(171,0) { join( top, X ) ==> top
% 9.69/10.07 }.
% 9.69/10.07 parent0: (46801) {G1,W5,D3,L1,V1,M1} { join( top, X ) ==> top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46802) {G0,W31,D5,L2,V0,M2} { ! meet( converse( skol1 ), converse
% 9.69/10.07 ( skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), meet( converse(
% 9.69/10.07 skol1 ), converse( skol2 ) ) ), ! join( meet( converse( skol1 ), converse
% 9.69/10.07 ( skol2 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse( meet( skol1
% 9.69/10.07 , skol2 ) ) }.
% 9.69/10.07 parent0[0]: (16) {G0,W31,D5,L2,V0,M2} I { ! join( converse( meet( skol1,
% 9.69/10.07 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet(
% 9.69/10.07 converse( skol1 ), converse( skol2 ) ), ! join( meet( converse( skol1 ),
% 9.69/10.07 converse( skol2 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse(
% 9.69/10.07 meet( skol1, skol2 ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46806) {G1,W31,D5,L2,V0,M2} { ! join( converse( meet( skol1,
% 9.69/10.07 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 9.69/10.07 meet( skol1, skol2 ) ), ! meet( converse( skol1 ), converse( skol2 ) )
% 9.69/10.07 ==> join( converse( meet( skol1, skol2 ) ), meet( converse( skol1 ),
% 9.69/10.07 converse( skol2 ) ) ) }.
% 9.69/10.07 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.07 parent1[1; 2]: (46802) {G0,W31,D5,L2,V0,M2} { ! meet( converse( skol1 ),
% 9.69/10.07 converse( skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), meet(
% 9.69/10.07 converse( skol1 ), converse( skol2 ) ) ), ! join( meet( converse( skol1 )
% 9.69/10.07 , converse( skol2 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse(
% 9.69/10.07 meet( skol1, skol2 ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := meet( converse( skol1 ), converse( skol2 ) )
% 9.69/10.07 Y := converse( meet( skol1, skol2 ) )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46819) {G1,W31,D5,L2,V0,M2} { ! join( converse( meet( skol1,
% 9.69/10.07 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet(
% 9.69/10.07 converse( skol1 ), converse( skol2 ) ), ! join( converse( meet( skol1,
% 9.69/10.07 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 9.69/10.07 meet( skol1, skol2 ) ) }.
% 9.69/10.07 parent0[1]: (46806) {G1,W31,D5,L2,V0,M2} { ! join( converse( meet( skol1,
% 9.69/10.07 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 9.69/10.07 meet( skol1, skol2 ) ), ! meet( converse( skol1 ), converse( skol2 ) )
% 9.69/10.07 ==> join( converse( meet( skol1, skol2 ) ), meet( converse( skol1 ),
% 9.69/10.07 converse( skol2 ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (176) {G1,W31,D5,L2,V0,M2} P(0,16) { ! join( converse( meet(
% 9.69/10.07 skol1, skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet
% 9.69/10.07 ( converse( skol1 ), converse( skol2 ) ), ! join( converse( meet( skol1,
% 9.69/10.07 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 9.69/10.07 meet( skol1, skol2 ) ) }.
% 9.69/10.07 parent0: (46819) {G1,W31,D5,L2,V0,M2} { ! join( converse( meet( skol1,
% 9.69/10.07 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet(
% 9.69/10.07 converse( skol1 ), converse( skol2 ) ), ! join( converse( meet( skol1,
% 9.69/10.07 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 9.69/10.07 meet( skol1, skol2 ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 1 ==> 1
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46822) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 9.69/10.07 converse( join( converse( X ), Y ) ) }.
% 9.69/10.07 parent0[0]: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 9.69/10.07 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46823) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 9.69/10.07 converse( top ) }.
% 9.69/10.07 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 9.69/10.07 top }.
% 9.69/10.07 parent1[0; 6]: (46822) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 9.69/10.07 converse( join( converse( X ), Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := converse( X )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := top
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (202) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 9.69/10.07 ) ==> converse( top ) }.
% 9.69/10.07 parent0: (46823) {G2,W7,D4,L1,V1,M1} { join( X, converse( top ) ) ==>
% 9.69/10.07 converse( top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46825) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X,
% 9.69/10.07 converse( top ) ) }.
% 9.69/10.07 parent0[0]: (202) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 9.69/10.07 ) ==> converse( top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46827) {G9,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 9.69/10.07 parent0[0]: (174) {G8,W5,D3,L1,V1,M1} P(171,0) { join( top, X ) ==> top }.
% 9.69/10.07 parent1[0; 3]: (46825) {G8,W7,D4,L1,V1,M1} { converse( top ) ==> join( X,
% 9.69/10.07 converse( top ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := converse( top )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := top
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (208) {G9,W4,D3,L1,V0,M1} P(202,174) { converse( top ) ==> top
% 9.69/10.07 }.
% 9.69/10.07 parent0: (46827) {G9,W4,D3,L1,V0,M1} { converse( top ) ==> top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46830) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 9.69/10.07 converse( composition( converse( X ), Y ) ) }.
% 9.69/10.07 parent0[0]: (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 9.69/10.07 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46833) {G1,W8,D4,L1,V1,M1} { composition( converse( one ), X )
% 9.69/10.07 ==> converse( converse( X ) ) }.
% 9.69/10.07 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 9.69/10.07 parent1[0; 6]: (46830) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ),
% 9.69/10.07 X ) ==> converse( composition( converse( X ), Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := converse( X )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := one
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46834) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 9.69/10.07 ==> X }.
% 9.69/10.07 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 9.69/10.07 parent1[0; 5]: (46833) {G1,W8,D4,L1,V1,M1} { composition( converse( one )
% 9.69/10.07 , X ) ==> converse( converse( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (269) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 9.69/10.07 ( one ), X ) ==> X }.
% 9.69/10.07 parent0: (46834) {G1,W6,D4,L1,V1,M1} { composition( converse( one ), X )
% 9.69/10.07 ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46836) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ),
% 9.69/10.07 X ) }.
% 9.69/10.07 parent0[0]: (269) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 9.69/10.07 ( one ), X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46838) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 9.69/10.07 parent0[0]: (5) {G0,W5,D3,L1,V1,M1} I { composition( X, one ) ==> X }.
% 9.69/10.07 parent1[0; 2]: (46836) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 9.69/10.07 one ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := converse( one )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := one
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46839) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 9.69/10.07 parent0[0]: (46838) {G1,W4,D3,L1,V0,M1} { one ==> converse( one ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (275) {G3,W4,D3,L1,V0,M1} P(269,5) { converse( one ) ==> one
% 9.69/10.07 }.
% 9.69/10.07 parent0: (46839) {G1,W4,D3,L1,V0,M1} { converse( one ) ==> one }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46841) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse( one ),
% 9.69/10.07 X ) }.
% 9.69/10.07 parent0[0]: (269) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 9.69/10.07 ( one ), X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46842) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 9.69/10.07 parent0[0]: (275) {G3,W4,D3,L1,V0,M1} P(269,5) { converse( one ) ==> one
% 9.69/10.07 }.
% 9.69/10.07 parent1[0; 3]: (46841) {G2,W6,D4,L1,V1,M1} { X ==> composition( converse(
% 9.69/10.07 one ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46843) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 9.69/10.07 parent0[0]: (46842) {G3,W5,D3,L1,V1,M1} { X ==> composition( one, X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (277) {G4,W5,D3,L1,V1,M1} P(275,269) { composition( one, X )
% 9.69/10.07 ==> X }.
% 9.69/10.07 parent0: (46843) {G3,W5,D3,L1,V1,M1} { composition( one, X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46845) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 9.69/10.07 composition( converse( X ), complement( composition( X, Y ) ) ),
% 9.69/10.07 complement( Y ) ) }.
% 9.69/10.07 parent0[0]: (10) {G0,W13,D6,L1,V2,M1} I { join( composition( converse( X )
% 9.69/10.07 , complement( composition( X, Y ) ) ), complement( Y ) ) ==> complement(
% 9.69/10.07 Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46847) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 9.69/10.07 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 9.69/10.07 parent0[0]: (277) {G4,W5,D3,L1,V1,M1} P(275,269) { composition( one, X )
% 9.69/10.07 ==> X }.
% 9.69/10.07 parent1[0; 8]: (46845) {G0,W13,D6,L1,V2,M1} { complement( Y ) ==> join(
% 9.69/10.07 composition( converse( X ), complement( composition( X, Y ) ) ),
% 9.69/10.07 complement( Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := one
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46848) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 9.69/10.07 complement( X ), complement( X ) ) }.
% 9.69/10.07 parent0[0]: (269) {G2,W6,D4,L1,V1,M1} P(5,37);d(7) { composition( converse
% 9.69/10.07 ( one ), X ) ==> X }.
% 9.69/10.07 parent1[0; 4]: (46847) {G1,W11,D5,L1,V1,M1} { complement( X ) ==> join(
% 9.69/10.07 composition( converse( one ), complement( X ) ), complement( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := complement( X )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46849) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement( X
% 9.69/10.07 ) ) ==> complement( X ) }.
% 9.69/10.07 parent0[0]: (46848) {G2,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 9.69/10.07 complement( X ), complement( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (282) {G5,W8,D4,L1,V1,M1} P(277,10);d(269) { join( complement
% 9.69/10.07 ( X ), complement( X ) ) ==> complement( X ) }.
% 9.69/10.07 parent0: (46849) {G2,W8,D4,L1,V1,M1} { join( complement( X ), complement(
% 9.69/10.07 X ) ) ==> complement( X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46851) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 9.69/10.07 complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.07 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46866) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 9.69/10.07 complement( X ) ) }.
% 9.69/10.07 parent0[0]: (282) {G5,W8,D4,L1,V1,M1} P(277,10);d(269) { join( complement(
% 9.69/10.07 X ), complement( X ) ) ==> complement( X ) }.
% 9.69/10.07 parent1[0; 5]: (46851) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 9.69/10.07 ( join( complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46867) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 9.69/10.07 meet( X, X ) }.
% 9.69/10.07 parent0[0]: (46866) {G1,W7,D4,L1,V1,M1} { meet( X, X ) ==> complement(
% 9.69/10.07 complement( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (290) {G6,W7,D4,L1,V1,M1} P(282,3) { complement( complement( X
% 9.69/10.07 ) ) = meet( X, X ) }.
% 9.69/10.07 parent0: (46867) {G1,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 9.69/10.07 meet( X, X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46868) {G6,W7,D4,L1,V1,M1} { meet( X, X ) = complement(
% 9.69/10.07 complement( X ) ) }.
% 9.69/10.07 parent0[0]: (290) {G6,W7,D4,L1,V1,M1} P(282,3) { complement( complement( X
% 9.69/10.07 ) ) = meet( X, X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46869) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46872) {G2,W11,D6,L1,V1,M1} { X ==> join( complement( complement
% 9.69/10.07 ( X ) ), complement( join( complement( X ), X ) ) ) }.
% 9.69/10.07 parent0[0]: (46868) {G6,W7,D4,L1,V1,M1} { meet( X, X ) = complement(
% 9.69/10.07 complement( X ) ) }.
% 9.69/10.07 parent1[0; 3]: (46869) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46873) {G2,W8,D5,L1,V1,M1} { X ==> join( complement( complement
% 9.69/10.07 ( X ) ), complement( top ) ) }.
% 9.69/10.07 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 9.69/10.07 ==> top }.
% 9.69/10.07 parent1[0; 7]: (46872) {G2,W11,D6,L1,V1,M1} { X ==> join( complement(
% 9.69/10.07 complement( X ) ), complement( join( complement( X ), X ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46874) {G2,W7,D5,L1,V1,M1} { X ==> join( complement( complement
% 9.69/10.07 ( X ) ), zero ) }.
% 9.69/10.07 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.07 zero }.
% 9.69/10.07 parent1[0; 6]: (46873) {G2,W8,D5,L1,V1,M1} { X ==> join( complement(
% 9.69/10.07 complement( X ) ), complement( top ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46875) {G2,W7,D5,L1,V1,M1} { join( complement( complement( X ) )
% 9.69/10.07 , zero ) ==> X }.
% 9.69/10.07 parent0[0]: (46874) {G2,W7,D5,L1,V1,M1} { X ==> join( complement(
% 9.69/10.07 complement( X ) ), zero ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (315) {G7,W7,D5,L1,V1,M1} P(290,30);d(17);d(58) { join(
% 9.69/10.07 complement( complement( X ) ), zero ) ==> X }.
% 9.69/10.07 parent0: (46875) {G2,W7,D5,L1,V1,M1} { join( complement( complement( X ) )
% 9.69/10.07 , zero ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46877) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46880) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X, converse( top
% 9.69/10.07 ) ), complement( converse( top ) ) ) }.
% 9.69/10.07 parent0[0]: (202) {G8,W7,D4,L1,V1,M1} P(171,42) { join( X, converse( top )
% 9.69/10.07 ) ==> converse( top ) }.
% 9.69/10.07 parent1[0; 8]: (46877) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := complement( X )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := converse( top )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46882) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse( top
% 9.69/10.07 ) ), complement( top ) ) }.
% 9.69/10.07 parent0[0]: (208) {G9,W4,D3,L1,V0,M1} P(202,174) { converse( top ) ==> top
% 9.69/10.07 }.
% 9.69/10.07 parent1[0; 8]: (46880) {G2,W10,D5,L1,V1,M1} { X ==> join( meet( X,
% 9.69/10.07 converse( top ) ), complement( converse( top ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46883) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 9.69/10.07 complement( top ) ) }.
% 9.69/10.07 parent0[0]: (208) {G9,W4,D3,L1,V0,M1} P(202,174) { converse( top ) ==> top
% 9.69/10.07 }.
% 9.69/10.07 parent1[0; 5]: (46882) {G3,W9,D5,L1,V1,M1} { X ==> join( meet( X, converse
% 9.69/10.07 ( top ) ), complement( top ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46886) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.07 zero }.
% 9.69/10.07 parent1[0; 6]: (46883) {G4,W8,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 9.69/10.07 complement( top ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46887) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (46886) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero
% 9.69/10.07 ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (320) {G10,W7,D4,L1,V1,M1} P(202,30);d(208);d(58) { join( meet
% 9.69/10.07 ( X, top ), zero ) ==> X }.
% 9.69/10.07 parent0: (46887) {G2,W7,D4,L1,V1,M1} { join( meet( X, top ), zero ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46889) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join( join( X, Y
% 9.69/10.07 ), complement( X ) ) }.
% 9.69/10.07 parent0[0]: (26) {G2,W10,D4,L1,V2,M1} P(0,20) { join( join( Y, X ),
% 9.69/10.07 complement( Y ) ) ==> join( X, top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46891) {G2,W14,D6,L1,V2,M1} { join( complement( join( complement
% 9.69/10.07 ( X ), Y ) ), top ) ==> join( X, complement( meet( X, Y ) ) ) }.
% 9.69/10.07 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.07 parent1[0; 9]: (46889) {G2,W10,D4,L1,V2,M1} { join( Y, top ) ==> join(
% 9.69/10.07 join( X, Y ), complement( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := meet( X, Y )
% 9.69/10.07 Y := complement( join( complement( X ), Y ) )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46892) {G3,W8,D5,L1,V2,M1} { top ==> join( X, complement( meet(
% 9.69/10.07 X, Y ) ) ) }.
% 9.69/10.07 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 9.69/10.07 top }.
% 9.69/10.07 parent1[0; 1]: (46891) {G2,W14,D6,L1,V2,M1} { join( complement( join(
% 9.69/10.07 complement( X ), Y ) ), top ) ==> join( X, complement( meet( X, Y ) ) )
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := complement( join( complement( X ), Y ) )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46893) {G3,W8,D5,L1,V2,M1} { join( X, complement( meet( X, Y ) )
% 9.69/10.07 ) ==> top }.
% 9.69/10.07 parent0[0]: (46892) {G3,W8,D5,L1,V2,M1} { top ==> join( X, complement(
% 9.69/10.07 meet( X, Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (332) {G8,W8,D5,L1,V2,M1} P(30,26);d(171) { join( X,
% 9.69/10.07 complement( meet( X, Y ) ) ) ==> top }.
% 9.69/10.07 parent0: (46893) {G3,W8,D5,L1,V2,M1} { join( X, complement( meet( X, Y ) )
% 9.69/10.07 ) ==> top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46895) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46897) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 9.69/10.07 complement( top ) ) }.
% 9.69/10.07 parent0[0]: (17) {G1,W6,D4,L1,V1,M1} P(0,11) { join( complement( X ), X )
% 9.69/10.07 ==> top }.
% 9.69/10.07 parent1[0; 7]: (46895) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46898) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero )
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.07 zero }.
% 9.69/10.07 parent1[0; 6]: (46897) {G2,W8,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 9.69/10.07 complement( top ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46899) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X }.
% 9.69/10.07 parent0[0]: (46898) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero )
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (334) {G2,W7,D4,L1,V1,M1} P(17,30);d(58) { join( meet( X, X )
% 9.69/10.07 , zero ) ==> X }.
% 9.69/10.07 parent0: (46899) {G2,W7,D4,L1,V1,M1} { join( meet( X, X ), zero ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46901) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46903) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement( join
% 9.69/10.07 ( complement( X ), complement( X ) ) ) ) }.
% 9.69/10.07 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 9.69/10.07 zero }.
% 9.69/10.07 parent1[0; 3]: (46901) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := complement( X )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46904) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) )
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.07 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.07 parent1[0; 4]: (46903) {G1,W10,D6,L1,V1,M1} { X ==> join( zero, complement
% 9.69/10.07 ( join( complement( X ), complement( X ) ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46905) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X }.
% 9.69/10.07 parent0[0]: (46904) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) )
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (339) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X
% 9.69/10.07 , X ) ) ==> X }.
% 9.69/10.07 parent0: (46905) {G1,W7,D4,L1,V1,M1} { join( zero, meet( X, X ) ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46906) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ), zero )
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (320) {G10,W7,D4,L1,V1,M1} P(202,30);d(208);d(58) { join( meet
% 9.69/10.07 ( X, top ), zero ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46907) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 9.69/10.07 Y ) }.
% 9.69/10.07 parent1[0; 3]: (46906) {G10,W7,D4,L1,V1,M1} { X ==> join( meet( X, top ),
% 9.69/10.07 zero ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := top
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46910) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (46907) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero
% 9.69/10.07 ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (344) {G11,W7,D4,L1,V1,M1} P(56,320) { join( meet( top, X ),
% 9.69/10.07 zero ) ==> X }.
% 9.69/10.07 parent0: (46910) {G2,W7,D4,L1,V1,M1} { join( meet( top, X ), zero ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46912) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join( join( X, Y
% 9.69/10.07 ), complement( Y ) ) }.
% 9.69/10.07 parent0[0]: (20) {G1,W10,D4,L1,V2,M1} P(11,1) { join( join( Y, X ),
% 9.69/10.07 complement( X ) ) ==> join( Y, top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46914) {G2,W10,D4,L1,V1,M1} { join( meet( X, top ), top ) ==>
% 9.69/10.07 join( X, complement( zero ) ) }.
% 9.69/10.07 parent0[0]: (320) {G10,W7,D4,L1,V1,M1} P(202,30);d(208);d(58) { join( meet
% 9.69/10.07 ( X, top ), zero ) ==> X }.
% 9.69/10.07 parent1[0; 7]: (46912) {G1,W10,D4,L1,V2,M1} { join( X, top ) ==> join(
% 9.69/10.07 join( X, Y ), complement( Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := meet( X, top )
% 9.69/10.07 Y := zero
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46915) {G3,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero )
% 9.69/10.07 ) }.
% 9.69/10.07 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 9.69/10.07 top }.
% 9.69/10.07 parent1[0; 1]: (46914) {G2,W10,D4,L1,V1,M1} { join( meet( X, top ), top )
% 9.69/10.07 ==> join( X, complement( zero ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := meet( X, top )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46916) {G3,W6,D4,L1,V1,M1} { join( X, complement( zero ) ) ==>
% 9.69/10.07 top }.
% 9.69/10.07 parent0[0]: (46915) {G3,W6,D4,L1,V1,M1} { top ==> join( X, complement(
% 9.69/10.07 zero ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (346) {G11,W6,D4,L1,V1,M1} P(320,20);d(171) { join( X,
% 9.69/10.07 complement( zero ) ) ==> top }.
% 9.69/10.07 parent0: (46916) {G3,W6,D4,L1,V1,M1} { join( X, complement( zero ) ) ==>
% 9.69/10.07 top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46917) {G11,W6,D4,L1,V1,M1} { top ==> join( X, complement( zero )
% 9.69/10.07 ) }.
% 9.69/10.07 parent0[0]: (346) {G11,W6,D4,L1,V1,M1} P(320,20);d(171) { join( X,
% 9.69/10.07 complement( zero ) ) ==> top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46919) {G6,W4,D3,L1,V0,M1} { top ==> complement( zero ) }.
% 9.69/10.07 parent0[0]: (282) {G5,W8,D4,L1,V1,M1} P(277,10);d(269) { join( complement(
% 9.69/10.07 X ), complement( X ) ) ==> complement( X ) }.
% 9.69/10.07 parent1[0; 2]: (46917) {G11,W6,D4,L1,V1,M1} { top ==> join( X, complement
% 9.69/10.07 ( zero ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := zero
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := complement( zero )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46920) {G6,W4,D3,L1,V0,M1} { complement( zero ) ==> top }.
% 9.69/10.07 parent0[0]: (46919) {G6,W4,D3,L1,V0,M1} { top ==> complement( zero ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (349) {G12,W4,D3,L1,V0,M1} P(346,282) { complement( zero ) ==>
% 9.69/10.07 top }.
% 9.69/10.07 parent0: (46920) {G6,W4,D3,L1,V0,M1} { complement( zero ) ==> top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46922) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 9.69/10.07 complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.07 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46924) {G1,W6,D3,L1,V1,M1} { meet( X, zero ) ==> complement( top
% 9.69/10.07 ) }.
% 9.69/10.07 parent0[0]: (346) {G11,W6,D4,L1,V1,M1} P(320,20);d(171) { join( X,
% 9.69/10.07 complement( zero ) ) ==> top }.
% 9.69/10.07 parent1[0; 5]: (46922) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 9.69/10.07 ( join( complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := complement( X )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := zero
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46925) {G2,W5,D3,L1,V1,M1} { meet( X, zero ) ==> zero }.
% 9.69/10.07 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.07 zero }.
% 9.69/10.07 parent1[0; 4]: (46924) {G1,W6,D3,L1,V1,M1} { meet( X, zero ) ==>
% 9.69/10.07 complement( top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (350) {G12,W5,D3,L1,V1,M1} P(346,3);d(58) { meet( X, zero )
% 9.69/10.07 ==> zero }.
% 9.69/10.07 parent0: (46925) {G2,W5,D3,L1,V1,M1} { meet( X, zero ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46928) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 9.69/10.07 complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.07 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46931) {G1,W9,D5,L1,V1,M1} { meet( zero, X ) ==> complement(
% 9.69/10.07 join( top, complement( X ) ) ) }.
% 9.69/10.07 parent0[0]: (349) {G12,W4,D3,L1,V0,M1} P(346,282) { complement( zero ) ==>
% 9.69/10.07 top }.
% 9.69/10.07 parent1[0; 6]: (46928) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 9.69/10.07 ( join( complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := zero
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46933) {G2,W6,D3,L1,V1,M1} { meet( zero, X ) ==> complement( top
% 9.69/10.07 ) }.
% 9.69/10.07 parent0[0]: (174) {G8,W5,D3,L1,V1,M1} P(171,0) { join( top, X ) ==> top }.
% 9.69/10.07 parent1[0; 5]: (46931) {G1,W9,D5,L1,V1,M1} { meet( zero, X ) ==>
% 9.69/10.07 complement( join( top, complement( X ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := complement( X )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46934) {G2,W5,D3,L1,V1,M1} { meet( zero, X ) ==> zero }.
% 9.69/10.07 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.07 zero }.
% 9.69/10.07 parent1[0; 4]: (46933) {G2,W6,D3,L1,V1,M1} { meet( zero, X ) ==>
% 9.69/10.07 complement( top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (352) {G13,W5,D3,L1,V1,M1} P(349,3);d(174);d(58) { meet( zero
% 9.69/10.07 , X ) ==> zero }.
% 9.69/10.07 parent0: (46934) {G2,W5,D3,L1,V1,M1} { meet( zero, X ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46936) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ), zero )
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (344) {G11,W7,D4,L1,V1,M1} P(56,320) { join( meet( top, X ),
% 9.69/10.07 zero ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46937) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X ) )
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.07 parent1[0; 2]: (46936) {G11,W7,D4,L1,V1,M1} { X ==> join( meet( top, X ),
% 9.69/10.07 zero ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := meet( top, X )
% 9.69/10.07 Y := zero
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46940) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (46937) {G1,W7,D4,L1,V1,M1} { X ==> join( zero, meet( top, X )
% 9.69/10.07 ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (359) {G12,W7,D4,L1,V1,M1} P(344,0) { join( zero, meet( top, X
% 9.69/10.07 ) ) ==> X }.
% 9.69/10.07 parent0: (46940) {G1,W7,D4,L1,V1,M1} { join( zero, meet( top, X ) ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46942) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46944) {G2,W10,D5,L1,V1,M1} { complement( X ) ==> join( meet(
% 9.69/10.07 complement( X ), zero ), complement( X ) ) }.
% 9.69/10.07 parent0[0]: (315) {G7,W7,D5,L1,V1,M1} P(290,30);d(17);d(58) { join(
% 9.69/10.07 complement( complement( X ) ), zero ) ==> X }.
% 9.69/10.07 parent1[0; 9]: (46942) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := complement( X )
% 9.69/10.07 Y := zero
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46945) {G3,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 9.69/10.07 complement( X ) ) }.
% 9.69/10.07 parent0[0]: (350) {G12,W5,D3,L1,V1,M1} P(346,3);d(58) { meet( X, zero ) ==>
% 9.69/10.07 zero }.
% 9.69/10.07 parent1[0; 4]: (46944) {G2,W10,D5,L1,V1,M1} { complement( X ) ==> join(
% 9.69/10.07 meet( complement( X ), zero ), complement( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := complement( X )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46946) {G3,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 9.69/10.07 complement( X ) }.
% 9.69/10.07 parent0[0]: (46945) {G3,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 9.69/10.07 complement( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (367) {G13,W7,D4,L1,V1,M1} P(315,30);d(350) { join( zero,
% 9.69/10.07 complement( X ) ) ==> complement( X ) }.
% 9.69/10.07 parent0: (46946) {G3,W7,D4,L1,V1,M1} { join( zero, complement( X ) ) ==>
% 9.69/10.07 complement( X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46948) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 9.69/10.07 complement( X ) ) }.
% 9.69/10.07 parent0[0]: (367) {G13,W7,D4,L1,V1,M1} P(315,30);d(350) { join( zero,
% 9.69/10.07 complement( X ) ) ==> complement( X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46951) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 9.69/10.07 join( zero, meet( X, X ) ) }.
% 9.69/10.07 parent0[0]: (290) {G6,W7,D4,L1,V1,M1} P(282,3) { complement( complement( X
% 9.69/10.07 ) ) = meet( X, X ) }.
% 9.69/10.07 parent1[0; 6]: (46948) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 9.69/10.07 zero, complement( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := complement( X )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46952) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero, meet(
% 9.69/10.07 X, X ) ) }.
% 9.69/10.07 parent0[0]: (290) {G6,W7,D4,L1,V1,M1} P(282,3) { complement( complement( X
% 9.69/10.07 ) ) = meet( X, X ) }.
% 9.69/10.07 parent1[0; 1]: (46951) {G7,W9,D4,L1,V1,M1} { complement( complement( X ) )
% 9.69/10.07 ==> join( zero, meet( X, X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46955) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 9.69/10.07 parent0[0]: (339) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X,
% 9.69/10.07 X ) ) ==> X }.
% 9.69/10.07 parent1[0; 4]: (46952) {G7,W9,D4,L1,V1,M1} { meet( X, X ) ==> join( zero,
% 9.69/10.07 meet( X, X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (377) {G14,W5,D3,L1,V1,M1} P(290,367);d(339) { meet( X, X )
% 9.69/10.07 ==> X }.
% 9.69/10.07 parent0: (46955) {G3,W5,D3,L1,V1,M1} { meet( X, X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46959) {G2,W11,D4,L1,V2,M1} { join( join( zero, X ), complement
% 9.69/10.07 ( Y ) ) = join( complement( Y ), X ) }.
% 9.69/10.07 parent0[0]: (367) {G13,W7,D4,L1,V1,M1} P(315,30);d(350) { join( zero,
% 9.69/10.07 complement( X ) ) ==> complement( X ) }.
% 9.69/10.07 parent1[0; 8]: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ),
% 9.69/10.07 X ) = join( join( Z, X ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := complement( Y )
% 9.69/10.07 Y := X
% 9.69/10.07 Z := zero
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (378) {G14,W11,D4,L1,V2,M1} P(367,19) { join( join( zero, Y )
% 9.69/10.07 , complement( X ) ) ==> join( complement( X ), Y ) }.
% 9.69/10.07 parent0: (46959) {G2,W11,D4,L1,V2,M1} { join( join( zero, X ), complement
% 9.69/10.07 ( Y ) ) = join( complement( Y ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46961) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement( join
% 9.69/10.07 ( zero, complement( X ) ) ) }.
% 9.69/10.07 parent0[0]: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 9.69/10.07 complement( X ) ) ) ==> meet( top, X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46968) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 9.69/10.07 complement( X ) ) }.
% 9.69/10.07 parent0[0]: (367) {G13,W7,D4,L1,V1,M1} P(315,30);d(350) { join( zero,
% 9.69/10.07 complement( X ) ) ==> complement( X ) }.
% 9.69/10.07 parent1[0; 5]: (46961) {G2,W9,D5,L1,V1,M1} { meet( top, X ) ==> complement
% 9.69/10.07 ( join( zero, complement( X ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (382) {G14,W7,D4,L1,V1,M1} P(367,59) { meet( top, X ) ==>
% 9.69/10.07 complement( complement( X ) ) }.
% 9.69/10.07 parent0: (46968) {G3,W7,D4,L1,V1,M1} { meet( top, X ) ==> complement(
% 9.69/10.07 complement( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46971) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join( zero,
% 9.69/10.07 complement( X ) ) }.
% 9.69/10.07 parent0[0]: (367) {G13,W7,D4,L1,V1,M1} P(315,30);d(350) { join( zero,
% 9.69/10.07 complement( X ) ) ==> complement( X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46976) {G3,W11,D5,L1,V1,M1} { complement( join( zero, complement
% 9.69/10.07 ( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 9.69/10.07 parent0[0]: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 9.69/10.07 complement( X ) ) ) ==> meet( top, X ) }.
% 9.69/10.07 parent1[0; 8]: (46971) {G13,W7,D4,L1,V1,M1} { complement( X ) ==> join(
% 9.69/10.07 zero, complement( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := join( zero, complement( X ) )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46977) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero, meet
% 9.69/10.07 ( top, X ) ) }.
% 9.69/10.07 parent0[0]: (59) {G2,W9,D5,L1,V1,M1} P(58,3) { complement( join( zero,
% 9.69/10.07 complement( X ) ) ) ==> meet( top, X ) }.
% 9.69/10.07 parent1[0; 1]: (46976) {G3,W11,D5,L1,V1,M1} { complement( join( zero,
% 9.69/10.07 complement( X ) ) ) ==> join( zero, meet( top, X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46979) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 9.69/10.07 parent0[0]: (359) {G12,W7,D4,L1,V1,M1} P(344,0) { join( zero, meet( top, X
% 9.69/10.07 ) ) ==> X }.
% 9.69/10.07 parent1[0; 4]: (46977) {G3,W9,D4,L1,V1,M1} { meet( top, X ) ==> join( zero
% 9.69/10.07 , meet( top, X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46980) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (382) {G14,W7,D4,L1,V1,M1} P(367,59) { meet( top, X ) ==>
% 9.69/10.07 complement( complement( X ) ) }.
% 9.69/10.07 parent1[0; 1]: (46979) {G4,W5,D3,L1,V1,M1} { meet( top, X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) {
% 9.69/10.07 complement( complement( X ) ) ==> X }.
% 9.69/10.07 parent0: (46980) {G5,W5,D4,L1,V1,M1} { complement( complement( X ) ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46983) {G2,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X ) ) }.
% 9.69/10.07 parent0[0]: (339) {G2,W7,D4,L1,V1,M1} P(12,30);d(3) { join( zero, meet( X,
% 9.69/10.07 X ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46984) {G3,W5,D3,L1,V1,M1} { X ==> join( zero, X ) }.
% 9.69/10.07 parent0[0]: (377) {G14,W5,D3,L1,V1,M1} P(290,367);d(339) { meet( X, X ) ==>
% 9.69/10.07 X }.
% 9.69/10.07 parent1[0; 4]: (46983) {G2,W7,D4,L1,V1,M1} { X ==> join( zero, meet( X, X
% 9.69/10.07 ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46985) {G3,W5,D3,L1,V1,M1} { join( zero, X ) ==> X }.
% 9.69/10.07 parent0[0]: (46984) {G3,W5,D3,L1,V1,M1} { X ==> join( zero, X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (387) {G15,W5,D3,L1,V1,M1} P(377,339) { join( zero, X ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 parent0: (46985) {G3,W5,D3,L1,V1,M1} { join( zero, X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46987) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ), zero ) }.
% 9.69/10.07 parent0[0]: (334) {G2,W7,D4,L1,V1,M1} P(17,30);d(58) { join( meet( X, X ),
% 9.69/10.07 zero ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46988) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 9.69/10.07 parent0[0]: (377) {G14,W5,D3,L1,V1,M1} P(290,367);d(339) { meet( X, X ) ==>
% 9.69/10.07 X }.
% 9.69/10.07 parent1[0; 3]: (46987) {G2,W7,D4,L1,V1,M1} { X ==> join( meet( X, X ),
% 9.69/10.07 zero ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46989) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 9.69/10.07 parent0[0]: (46988) {G3,W5,D3,L1,V1,M1} { X ==> join( X, zero ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (388) {G15,W5,D3,L1,V1,M1} P(377,334) { join( X, zero ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 parent0: (46989) {G3,W5,D3,L1,V1,M1} { join( X, zero ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46991) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 9.69/10.07 converse( join( converse( X ), Y ) ) }.
% 9.69/10.07 parent0[0]: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 9.69/10.07 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46993) {G2,W8,D4,L1,V1,M1} { join( X, converse( zero ) ) ==>
% 9.69/10.07 converse( converse( X ) ) }.
% 9.69/10.07 parent0[0]: (388) {G15,W5,D3,L1,V1,M1} P(377,334) { join( X, zero ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 parent1[0; 6]: (46991) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 9.69/10.07 converse( join( converse( X ), Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := converse( X )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := zero
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (46994) {G1,W6,D4,L1,V1,M1} { join( X, converse( zero ) ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 9.69/10.07 parent1[0; 5]: (46993) {G2,W8,D4,L1,V1,M1} { join( X, converse( zero ) )
% 9.69/10.07 ==> converse( converse( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (392) {G16,W6,D4,L1,V1,M1} P(388,42);d(7) { join( X, converse
% 9.69/10.07 ( zero ) ) ==> X }.
% 9.69/10.07 parent0: (46994) {G1,W6,D4,L1,V1,M1} { join( X, converse( zero ) ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (46997) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join( complement
% 9.69/10.07 ( X ), complement( X ) ) }.
% 9.69/10.07 parent0[0]: (282) {G5,W8,D4,L1,V1,M1} P(277,10);d(269) { join( complement(
% 9.69/10.07 X ), complement( X ) ) ==> complement( X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47000) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) ) ==>
% 9.69/10.07 join( complement( complement( X ) ), X ) }.
% 9.69/10.07 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.07 ( complement( X ) ) ==> X }.
% 9.69/10.07 parent1[0; 8]: (46997) {G5,W8,D4,L1,V1,M1} { complement( X ) ==> join(
% 9.69/10.07 complement( X ), complement( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := complement( X )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47002) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) ) ==>
% 9.69/10.07 join( X, X ) }.
% 9.69/10.07 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.07 ( complement( X ) ) ==> X }.
% 9.69/10.07 parent1[0; 5]: (47000) {G6,W9,D5,L1,V1,M1} { complement( complement( X ) )
% 9.69/10.07 ==> join( complement( complement( X ) ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47003) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 9.69/10.07 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.07 ( complement( X ) ) ==> X }.
% 9.69/10.07 parent1[0; 1]: (47002) {G7,W7,D4,L1,V1,M1} { complement( complement( X ) )
% 9.69/10.07 ==> join( X, X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47009) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 9.69/10.07 parent0[0]: (47003) {G8,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (394) {G16,W5,D3,L1,V1,M1} P(383,282) { join( X, X ) ==> X }.
% 9.69/10.07 parent0: (47009) {G8,W5,D3,L1,V1,M1} { join( X, X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47013) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 9.69/10.07 complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.07 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47016) {G1,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 9.69/10.07 complement( join( X, complement( Y ) ) ) }.
% 9.69/10.07 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.07 ( complement( X ) ) ==> X }.
% 9.69/10.07 parent1[0; 7]: (47013) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 9.69/10.07 ( join( complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := complement( X )
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47018) {G1,W10,D5,L1,V2,M1} { complement( join( X, complement( Y
% 9.69/10.07 ) ) ) ==> meet( complement( X ), Y ) }.
% 9.69/10.07 parent0[0]: (47016) {G1,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 9.69/10.07 complement( join( X, complement( Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (396) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join( X,
% 9.69/10.07 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 9.69/10.07 parent0: (47018) {G1,W10,D5,L1,V2,M1} { complement( join( X, complement( Y
% 9.69/10.07 ) ) ) ==> meet( complement( X ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47021) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 9.69/10.07 complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.07 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47025) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 9.69/10.07 complement( join( complement( X ), Y ) ) }.
% 9.69/10.07 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.07 ( complement( X ) ) ==> X }.
% 9.69/10.07 parent1[0; 9]: (47021) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 9.69/10.07 ( join( complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := complement( Y )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47027) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X ),
% 9.69/10.07 Y ) ) ==> meet( X, complement( Y ) ) }.
% 9.69/10.07 parent0[0]: (47025) {G1,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 9.69/10.07 complement( join( complement( X ), Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (397) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join(
% 9.69/10.07 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 9.69/10.07 parent0: (47027) {G1,W10,D5,L1,V2,M1} { complement( join( complement( X )
% 9.69/10.07 , Y ) ) ==> meet( X, complement( Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47029) {G15,W5,D4,L1,V1,M1} { X ==> complement( complement( X ) )
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.07 ( complement( X ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47034) {G1,W10,D4,L1,V2,M1} { join( complement( X ), complement
% 9.69/10.07 ( Y ) ) ==> complement( meet( X, Y ) ) }.
% 9.69/10.07 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.07 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.07 parent1[0; 7]: (47029) {G15,W5,D4,L1,V1,M1} { X ==> complement( complement
% 9.69/10.07 ( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := join( complement( X ), complement( Y ) )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (398) {G16,W10,D4,L1,V2,M1} P(3,383) { join( complement( X ),
% 9.69/10.07 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 9.69/10.07 parent0: (47034) {G1,W10,D4,L1,V2,M1} { join( complement( X ), complement
% 9.69/10.07 ( Y ) ) ==> complement( meet( X, Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47036) {G16,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 9.69/10.07 parent0[0]: (394) {G16,W5,D3,L1,V1,M1} P(383,282) { join( X, X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47039) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( X,
% 9.69/10.07 join( X, Y ) ), Y ) }.
% 9.69/10.07 parent0[0]: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ), X )
% 9.69/10.07 = join( join( Z, X ), Y ) }.
% 9.69/10.07 parent1[0; 4]: (47036) {G16,W5,D3,L1,V1,M1} { X ==> join( X, X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := join( X, Y )
% 9.69/10.07 Y := Y
% 9.69/10.07 Z := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := join( X, Y )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47041) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join( join
% 9.69/10.07 ( X, X ), Y ), Y ) }.
% 9.69/10.07 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { join( X, join( Y, Z ) ) ==> join(
% 9.69/10.07 join( X, Y ), Z ) }.
% 9.69/10.07 parent1[0; 5]: (47039) {G2,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join
% 9.69/10.07 ( X, join( X, Y ) ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := X
% 9.69/10.07 Z := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47042) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 9.69/10.07 , Y ) }.
% 9.69/10.07 parent0[0]: (394) {G16,W5,D3,L1,V1,M1} P(383,282) { join( X, X ) ==> X }.
% 9.69/10.07 parent1[0; 6]: (47041) {G1,W11,D5,L1,V2,M1} { join( X, Y ) ==> join( join
% 9.69/10.07 ( join( X, X ), Y ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47043) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X
% 9.69/10.07 , Y ) }.
% 9.69/10.07 parent0[0]: (47042) {G2,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X,
% 9.69/10.07 Y ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (399) {G17,W9,D4,L1,V2,M1} P(394,19);d(1);d(394) { join( join
% 9.69/10.07 ( X, Y ), Y ) ==> join( X, Y ) }.
% 9.69/10.07 parent0: (47043) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), Y ) ==> join( X
% 9.69/10.07 , Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47052) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), X ) = join( X,
% 9.69/10.07 Y ) }.
% 9.69/10.07 parent0[0]: (394) {G16,W5,D3,L1,V1,M1} P(383,282) { join( X, X ) ==> X }.
% 9.69/10.07 parent1[0; 7]: (19) {G1,W11,D4,L1,V3,M1} P(0,1);d(1) { join( join( Z, Y ),
% 9.69/10.07 X ) = join( join( Z, X ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 Z := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (400) {G17,W9,D4,L1,V2,M1} P(394,19) { join( join( X, Y ), X )
% 9.69/10.07 ==> join( X, Y ) }.
% 9.69/10.07 parent0: (47052) {G2,W9,D4,L1,V2,M1} { join( join( X, Y ), X ) = join( X,
% 9.69/10.07 Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47053) {G16,W6,D4,L1,V1,M1} { X ==> join( X, converse( zero ) )
% 9.69/10.07 }.
% 9.69/10.07 parent0[0]: (392) {G16,W6,D4,L1,V1,M1} P(388,42);d(7) { join( X, converse(
% 9.69/10.07 zero ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47055) {G16,W4,D3,L1,V0,M1} { zero ==> converse( zero ) }.
% 9.69/10.07 parent0[0]: (387) {G15,W5,D3,L1,V1,M1} P(377,339) { join( zero, X ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 parent1[0; 2]: (47053) {G16,W6,D4,L1,V1,M1} { X ==> join( X, converse(
% 9.69/10.07 zero ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := converse( zero )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := zero
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47056) {G16,W4,D3,L1,V0,M1} { converse( zero ) ==> zero }.
% 9.69/10.07 parent0[0]: (47055) {G16,W4,D3,L1,V0,M1} { zero ==> converse( zero ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (402) {G17,W4,D3,L1,V0,M1} P(392,387) { converse( zero ) ==>
% 9.69/10.07 zero }.
% 9.69/10.07 parent0: (47056) {G16,W4,D3,L1,V0,M1} { converse( zero ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47058) {G2,W10,D6,L1,V2,M1} { top ==> join( join( complement(
% 9.69/10.07 join( X, Y ) ), X ), Y ) }.
% 9.69/10.07 parent0[0]: (21) {G2,W10,D6,L1,V2,M1} P(17,1) { join( join( complement(
% 9.69/10.07 join( X, Y ) ), X ), Y ) ==> top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47061) {G3,W11,D5,L1,V2,M1} { top ==> join( join( complement(
% 9.69/10.07 top ), X ), complement( meet( X, Y ) ) ) }.
% 9.69/10.07 parent0[0]: (332) {G8,W8,D5,L1,V2,M1} P(30,26);d(171) { join( X, complement
% 9.69/10.07 ( meet( X, Y ) ) ) ==> top }.
% 9.69/10.07 parent1[0; 5]: (47058) {G2,W10,D6,L1,V2,M1} { top ==> join( join(
% 9.69/10.07 complement( join( X, Y ) ), X ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := complement( meet( X, Y ) )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47062) {G2,W10,D5,L1,V2,M1} { top ==> join( join( zero, X ),
% 9.69/10.07 complement( meet( X, Y ) ) ) }.
% 9.69/10.07 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.07 zero }.
% 9.69/10.07 parent1[0; 4]: (47061) {G3,W11,D5,L1,V2,M1} { top ==> join( join(
% 9.69/10.07 complement( top ), X ), complement( meet( X, Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47063) {G3,W8,D5,L1,V2,M1} { top ==> join( complement( meet( X,
% 9.69/10.07 Y ) ), X ) }.
% 9.69/10.07 parent0[0]: (378) {G14,W11,D4,L1,V2,M1} P(367,19) { join( join( zero, Y ),
% 9.69/10.07 complement( X ) ) ==> join( complement( X ), Y ) }.
% 9.69/10.07 parent1[0; 2]: (47062) {G2,W10,D5,L1,V2,M1} { top ==> join( join( zero, X
% 9.69/10.07 ), complement( meet( X, Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := meet( X, Y )
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47064) {G3,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), X
% 9.69/10.07 ) ==> top }.
% 9.69/10.07 parent0[0]: (47063) {G3,W8,D5,L1,V2,M1} { top ==> join( complement( meet(
% 9.69/10.07 X, Y ) ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (432) {G15,W8,D5,L1,V2,M1} P(332,21);d(58);d(378) { join(
% 9.69/10.07 complement( meet( X, Y ) ), X ) ==> top }.
% 9.69/10.07 parent0: (47064) {G3,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), X
% 9.69/10.07 ) ==> top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47065) {G15,W8,D5,L1,V2,M1} { top ==> join( complement( meet( X,
% 9.69/10.07 Y ) ), X ) }.
% 9.69/10.07 parent0[0]: (432) {G15,W8,D5,L1,V2,M1} P(332,21);d(58);d(378) { join(
% 9.69/10.07 complement( meet( X, Y ) ), X ) ==> top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47066) {G2,W8,D5,L1,V2,M1} { top ==> join( complement( meet( Y,
% 9.69/10.07 X ) ), X ) }.
% 9.69/10.07 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 9.69/10.07 Y ) }.
% 9.69/10.07 parent1[0; 4]: (47065) {G15,W8,D5,L1,V2,M1} { top ==> join( complement(
% 9.69/10.07 meet( X, Y ) ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47069) {G2,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), Y
% 9.69/10.07 ) ==> top }.
% 9.69/10.07 parent0[0]: (47066) {G2,W8,D5,L1,V2,M1} { top ==> join( complement( meet(
% 9.69/10.07 Y, X ) ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (446) {G16,W8,D5,L1,V2,M1} P(56,432) { join( complement( meet
% 9.69/10.07 ( Y, X ) ), X ) ==> top }.
% 9.69/10.07 parent0: (47069) {G2,W8,D5,L1,V2,M1} { join( complement( meet( X, Y ) ), Y
% 9.69/10.07 ) ==> top }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47071) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47074) {G2,W12,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet( meet
% 9.69/10.07 ( X, Y ), Y ), complement( top ) ) }.
% 9.69/10.07 parent0[0]: (446) {G16,W8,D5,L1,V2,M1} P(56,432) { join( complement( meet(
% 9.69/10.07 Y, X ) ), X ) ==> top }.
% 9.69/10.07 parent1[0; 11]: (47071) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := meet( X, Y )
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47075) {G2,W11,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet( meet
% 9.69/10.07 ( X, Y ), Y ), zero ) }.
% 9.69/10.07 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.07 zero }.
% 9.69/10.07 parent1[0; 10]: (47074) {G2,W12,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet
% 9.69/10.07 ( meet( X, Y ), Y ), complement( top ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47076) {G3,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 9.69/10.07 , Y ) }.
% 9.69/10.07 parent0[0]: (388) {G15,W5,D3,L1,V1,M1} P(377,334) { join( X, zero ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 parent1[0; 4]: (47075) {G2,W11,D5,L1,V2,M1} { meet( X, Y ) ==> join( meet
% 9.69/10.07 ( meet( X, Y ), Y ), zero ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := meet( meet( X, Y ), Y )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47077) {G3,W9,D4,L1,V2,M1} { meet( meet( X, Y ), Y ) ==> meet( X
% 9.69/10.07 , Y ) }.
% 9.69/10.07 parent0[0]: (47076) {G3,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X,
% 9.69/10.07 Y ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (449) {G17,W9,D4,L1,V2,M1} P(446,30);d(58);d(388) { meet( meet
% 9.69/10.07 ( X, Y ), Y ) ==> meet( X, Y ) }.
% 9.69/10.07 parent0: (47077) {G3,W9,D4,L1,V2,M1} { meet( meet( X, Y ), Y ) ==> meet( X
% 9.69/10.07 , Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47079) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 9.69/10.07 complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.07 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47081) {G1,W9,D5,L1,V2,M1} { meet( meet( X, complement( Y ) ), Y
% 9.69/10.07 ) ==> complement( top ) }.
% 9.69/10.07 parent0[0]: (446) {G16,W8,D5,L1,V2,M1} P(56,432) { join( complement( meet(
% 9.69/10.07 Y, X ) ), X ) ==> top }.
% 9.69/10.07 parent1[0; 8]: (47079) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 9.69/10.07 ( join( complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := complement( Y )
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := meet( X, complement( Y ) )
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47082) {G2,W8,D5,L1,V2,M1} { meet( meet( X, complement( Y ) ), Y
% 9.69/10.07 ) ==> zero }.
% 9.69/10.07 parent0[0]: (58) {G1,W4,D3,L1,V0,M1} P(11,3);d(12) { complement( top ) ==>
% 9.69/10.07 zero }.
% 9.69/10.07 parent1[0; 7]: (47081) {G1,W9,D5,L1,V2,M1} { meet( meet( X, complement( Y
% 9.69/10.07 ) ), Y ) ==> complement( top ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (454) {G17,W8,D5,L1,V2,M1} P(446,3);d(58) { meet( meet( X,
% 9.69/10.07 complement( Y ) ), Y ) ==> zero }.
% 9.69/10.07 parent0: (47082) {G2,W8,D5,L1,V2,M1} { meet( meet( X, complement( Y ) ), Y
% 9.69/10.07 ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47085) {G17,W8,D5,L1,V2,M1} { zero ==> meet( meet( X, complement
% 9.69/10.07 ( Y ) ), Y ) }.
% 9.69/10.07 parent0[0]: (454) {G17,W8,D5,L1,V2,M1} P(446,3);d(58) { meet( meet( X,
% 9.69/10.07 complement( Y ) ), Y ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47086) {G16,W8,D4,L1,V2,M1} { zero ==> meet( meet( X, Y ),
% 9.69/10.07 complement( Y ) ) }.
% 9.69/10.07 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.07 ( complement( X ) ) ==> X }.
% 9.69/10.07 parent1[0; 5]: (47085) {G17,W8,D5,L1,V2,M1} { zero ==> meet( meet( X,
% 9.69/10.07 complement( Y ) ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := complement( Y )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47087) {G16,W8,D4,L1,V2,M1} { meet( meet( X, Y ), complement( Y )
% 9.69/10.07 ) ==> zero }.
% 9.69/10.07 parent0[0]: (47086) {G16,W8,D4,L1,V2,M1} { zero ==> meet( meet( X, Y ),
% 9.69/10.07 complement( Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (460) {G18,W8,D4,L1,V2,M1} P(383,454) { meet( meet( Y, X ),
% 9.69/10.07 complement( X ) ) ==> zero }.
% 9.69/10.07 parent0: (47087) {G16,W8,D4,L1,V2,M1} { meet( meet( X, Y ), complement( Y
% 9.69/10.07 ) ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47088) {G17,W8,D5,L1,V2,M1} { zero ==> meet( meet( X, complement
% 9.69/10.07 ( Y ) ), Y ) }.
% 9.69/10.07 parent0[0]: (454) {G17,W8,D5,L1,V2,M1} P(446,3);d(58) { meet( meet( X,
% 9.69/10.07 complement( Y ) ), Y ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47089) {G2,W8,D5,L1,V2,M1} { zero ==> meet( Y, meet( X,
% 9.69/10.07 complement( Y ) ) ) }.
% 9.69/10.07 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 9.69/10.07 Y ) }.
% 9.69/10.07 parent1[0; 2]: (47088) {G17,W8,D5,L1,V2,M1} { zero ==> meet( meet( X,
% 9.69/10.07 complement( Y ) ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := meet( X, complement( Y ) )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47093) {G2,W8,D5,L1,V2,M1} { meet( X, meet( Y, complement( X ) )
% 9.69/10.07 ) ==> zero }.
% 9.69/10.07 parent0[0]: (47089) {G2,W8,D5,L1,V2,M1} { zero ==> meet( Y, meet( X,
% 9.69/10.07 complement( Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (461) {G18,W8,D5,L1,V2,M1} P(454,56) { meet( Y, meet( X,
% 9.69/10.07 complement( Y ) ) ) ==> zero }.
% 9.69/10.07 parent0: (47093) {G2,W8,D5,L1,V2,M1} { meet( X, meet( Y, complement( X ) )
% 9.69/10.07 ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47097) {G18,W8,D4,L1,V2,M1} { zero ==> meet( meet( X, Y ),
% 9.69/10.07 complement( Y ) ) }.
% 9.69/10.07 parent0[0]: (460) {G18,W8,D4,L1,V2,M1} P(383,454) { meet( meet( Y, X ),
% 9.69/10.07 complement( X ) ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47098) {G2,W8,D4,L1,V2,M1} { zero ==> meet( complement( Y ),
% 9.69/10.07 meet( X, Y ) ) }.
% 9.69/10.07 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 9.69/10.07 Y ) }.
% 9.69/10.07 parent1[0; 2]: (47097) {G18,W8,D4,L1,V2,M1} { zero ==> meet( meet( X, Y )
% 9.69/10.07 , complement( Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := complement( Y )
% 9.69/10.07 Y := meet( X, Y )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47102) {G2,W8,D4,L1,V2,M1} { meet( complement( X ), meet( Y, X )
% 9.69/10.07 ) ==> zero }.
% 9.69/10.07 parent0[0]: (47098) {G2,W8,D4,L1,V2,M1} { zero ==> meet( complement( Y ),
% 9.69/10.07 meet( X, Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (462) {G19,W8,D4,L1,V2,M1} P(460,56) { meet( complement( Y ),
% 9.69/10.07 meet( X, Y ) ) ==> zero }.
% 9.69/10.07 parent0: (47102) {G2,W8,D4,L1,V2,M1} { meet( complement( X ), meet( Y, X )
% 9.69/10.07 ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47106) {G19,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ),
% 9.69/10.07 meet( Y, X ) ) }.
% 9.69/10.07 parent0[0]: (462) {G19,W8,D4,L1,V2,M1} P(460,56) { meet( complement( Y ),
% 9.69/10.07 meet( X, Y ) ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47108) {G2,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ),
% 9.69/10.07 meet( X, Y ) ) }.
% 9.69/10.07 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 9.69/10.07 Y ) }.
% 9.69/10.07 parent1[0; 5]: (47106) {G19,W8,D4,L1,V2,M1} { zero ==> meet( complement( X
% 9.69/10.07 ), meet( Y, X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47114) {G2,W8,D4,L1,V2,M1} { meet( complement( X ), meet( X, Y )
% 9.69/10.07 ) ==> zero }.
% 9.69/10.07 parent0[0]: (47108) {G2,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ),
% 9.69/10.07 meet( X, Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (465) {G20,W8,D4,L1,V2,M1} P(56,462) { meet( complement( Y ),
% 9.69/10.07 meet( Y, X ) ) ==> zero }.
% 9.69/10.07 parent0: (47114) {G2,W8,D4,L1,V2,M1} { meet( complement( X ), meet( X, Y )
% 9.69/10.07 ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47116) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47119) {G2,W12,D7,L1,V2,M1} { X ==> join( zero, complement( join
% 9.69/10.07 ( complement( X ), meet( Y, complement( X ) ) ) ) ) }.
% 9.69/10.07 parent0[0]: (461) {G18,W8,D5,L1,V2,M1} P(454,56) { meet( Y, meet( X,
% 9.69/10.07 complement( Y ) ) ) ==> zero }.
% 9.69/10.07 parent1[0; 3]: (47116) {G1,W11,D6,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := meet( Y, complement( X ) )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47120) {G3,W10,D6,L1,V2,M1} { X ==> complement( join( complement
% 9.69/10.07 ( X ), meet( Y, complement( X ) ) ) ) }.
% 9.69/10.07 parent0[0]: (367) {G13,W7,D4,L1,V1,M1} P(315,30);d(350) { join( zero,
% 9.69/10.07 complement( X ) ) ==> complement( X ) }.
% 9.69/10.07 parent1[0; 2]: (47119) {G2,W12,D7,L1,V2,M1} { X ==> join( zero, complement
% 9.69/10.07 ( join( complement( X ), meet( Y, complement( X ) ) ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := join( complement( X ), meet( Y, complement( X ) ) )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47121) {G4,W9,D6,L1,V2,M1} { X ==> meet( X, complement( meet( Y
% 9.69/10.07 , complement( X ) ) ) ) }.
% 9.69/10.07 parent0[0]: (397) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join(
% 9.69/10.07 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 9.69/10.07 parent1[0; 2]: (47120) {G3,W10,D6,L1,V2,M1} { X ==> complement( join(
% 9.69/10.07 complement( X ), meet( Y, complement( X ) ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := meet( Y, complement( X ) )
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47122) {G4,W9,D6,L1,V2,M1} { meet( X, complement( meet( Y,
% 9.69/10.07 complement( X ) ) ) ) ==> X }.
% 9.69/10.07 parent0[0]: (47121) {G4,W9,D6,L1,V2,M1} { X ==> meet( X, complement( meet
% 9.69/10.07 ( Y, complement( X ) ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (468) {G19,W9,D6,L1,V2,M1} P(461,30);d(367);d(397) { meet( X,
% 9.69/10.07 complement( meet( Y, complement( X ) ) ) ) ==> X }.
% 9.69/10.07 parent0: (47122) {G4,W9,D6,L1,V2,M1} { meet( X, complement( meet( Y,
% 9.69/10.07 complement( X ) ) ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47123) {G17,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet( X, Y )
% 9.69/10.07 , Y ) }.
% 9.69/10.07 parent0[0]: (449) {G17,W9,D4,L1,V2,M1} P(446,30);d(58);d(388) { meet( meet
% 9.69/10.07 ( X, Y ), Y ) ==> meet( X, Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47126) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( Y, meet( X,
% 9.69/10.07 Y ) ) }.
% 9.69/10.07 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 9.69/10.07 Y ) }.
% 9.69/10.07 parent1[0; 4]: (47123) {G17,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( meet
% 9.69/10.07 ( X, Y ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := meet( X, Y )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47139) {G2,W9,D4,L1,V2,M1} { meet( Y, meet( X, Y ) ) ==> meet( X
% 9.69/10.07 , Y ) }.
% 9.69/10.07 parent0[0]: (47126) {G2,W9,D4,L1,V2,M1} { meet( X, Y ) ==> meet( Y, meet(
% 9.69/10.07 X, Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (482) {G18,W9,D4,L1,V2,M1} P(449,56) { meet( Y, meet( X, Y ) )
% 9.69/10.07 ==> meet( X, Y ) }.
% 9.69/10.07 parent0: (47139) {G2,W9,D4,L1,V2,M1} { meet( Y, meet( X, Y ) ) ==> meet( X
% 9.69/10.07 , Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47141) {G17,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join( X, Y )
% 9.69/10.07 , Y ) }.
% 9.69/10.07 parent0[0]: (399) {G17,W9,D4,L1,V2,M1} P(394,19);d(1);d(394) { join( join(
% 9.69/10.07 X, Y ), Y ) ==> join( X, Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47144) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ), complement(
% 9.69/10.07 join( complement( X ), Y ) ) ) ==> join( X, complement( join( complement
% 9.69/10.07 ( X ), Y ) ) ) }.
% 9.69/10.07 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.07 parent1[0; 11]: (47141) {G17,W9,D4,L1,V2,M1} { join( X, Y ) ==> join( join
% 9.69/10.07 ( X, Y ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := meet( X, Y )
% 9.69/10.07 Y := complement( join( complement( X ), Y ) )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47145) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement( join(
% 9.69/10.07 complement( X ), Y ) ) ) }.
% 9.69/10.07 parent0[0]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.07 parent1[0; 1]: (47144) {G2,W17,D6,L1,V2,M1} { join( meet( X, Y ),
% 9.69/10.07 complement( join( complement( X ), Y ) ) ) ==> join( X, complement( join
% 9.69/10.07 ( complement( X ), Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47152) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement
% 9.69/10.07 ( Y ) ) ) }.
% 9.69/10.07 parent0[0]: (397) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join(
% 9.69/10.07 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 9.69/10.07 parent1[0; 4]: (47145) {G2,W9,D6,L1,V2,M1} { X ==> join( X, complement(
% 9.69/10.07 join( complement( X ), Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47153) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) )
% 9.69/10.07 ) ==> X }.
% 9.69/10.07 parent0[0]: (47152) {G3,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 9.69/10.07 complement( Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (488) {G18,W8,D5,L1,V2,M1} P(30,399);d(397) { join( X, meet( X
% 9.69/10.07 , complement( Y ) ) ) ==> X }.
% 9.69/10.07 parent0: (47153) {G3,W8,D5,L1,V2,M1} { join( X, meet( X, complement( Y ) )
% 9.69/10.07 ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47155) {G18,W8,D5,L1,V2,M1} { X ==> join( X, meet( X, complement
% 9.69/10.07 ( Y ) ) ) }.
% 9.69/10.07 parent0[0]: (488) {G18,W8,D5,L1,V2,M1} P(30,399);d(397) { join( X, meet( X
% 9.69/10.07 , complement( Y ) ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47156) {G16,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 9.69/10.07 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.07 ( complement( X ) ) ==> X }.
% 9.69/10.07 parent1[0; 6]: (47155) {G18,W8,D5,L1,V2,M1} { X ==> join( X, meet( X,
% 9.69/10.07 complement( Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := complement( Y )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47157) {G16,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 9.69/10.07 parent0[0]: (47156) {G16,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) )
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (497) {G19,W7,D4,L1,V2,M1} P(383,488) { join( Y, meet( Y, X )
% 9.69/10.07 ) ==> Y }.
% 9.69/10.07 parent0: (47157) {G16,W7,D4,L1,V2,M1} { join( X, meet( X, Y ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47159) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 9.69/10.07 parent0[0]: (497) {G19,W7,D4,L1,V2,M1} P(383,488) { join( Y, meet( Y, X ) )
% 9.69/10.07 ==> Y }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47160) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 9.69/10.07 parent0[0]: (482) {G18,W9,D4,L1,V2,M1} P(449,56) { meet( Y, meet( X, Y ) )
% 9.69/10.07 ==> meet( X, Y ) }.
% 9.69/10.07 parent1[0; 4]: (47159) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y )
% 9.69/10.07 ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := meet( Y, X )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47161) {G19,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 9.69/10.07 parent0[0]: (47160) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) )
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (512) {G20,W7,D4,L1,V2,M1} P(482,497) { join( X, meet( Y, X )
% 9.69/10.07 ) ==> X }.
% 9.69/10.07 parent0: (47161) {G19,W7,D4,L1,V2,M1} { join( X, meet( Y, X ) ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47162) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y ) ) }.
% 9.69/10.07 parent0[0]: (497) {G19,W7,D4,L1,V2,M1} P(383,488) { join( Y, meet( Y, X ) )
% 9.69/10.07 ==> Y }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47163) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( X, Y ), X ) }.
% 9.69/10.07 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.07 parent1[0; 2]: (47162) {G19,W7,D4,L1,V2,M1} { X ==> join( X, meet( X, Y )
% 9.69/10.07 ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := meet( X, Y )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47166) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), X ) ==> X }.
% 9.69/10.07 parent0[0]: (47163) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( X, Y ), X )
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (527) {G20,W7,D4,L1,V2,M1} P(497,0) { join( meet( X, Y ), X )
% 9.69/10.07 ==> X }.
% 9.69/10.07 parent0: (47166) {G1,W7,D4,L1,V2,M1} { join( meet( X, Y ), X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47167) {G20,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X ) ) }.
% 9.69/10.07 parent0[0]: (512) {G20,W7,D4,L1,V2,M1} P(482,497) { join( X, meet( Y, X ) )
% 9.69/10.07 ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47168) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( Y, X ), X ) }.
% 9.69/10.07 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.07 parent1[0; 2]: (47167) {G20,W7,D4,L1,V2,M1} { X ==> join( X, meet( Y, X )
% 9.69/10.07 ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := meet( Y, X )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47171) {G1,W7,D4,L1,V2,M1} { join( meet( Y, X ), X ) ==> X }.
% 9.69/10.07 parent0[0]: (47168) {G1,W7,D4,L1,V2,M1} { X ==> join( meet( Y, X ), X )
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (546) {G21,W7,D4,L1,V2,M1} P(512,0) { join( meet( Y, X ), X )
% 9.69/10.07 ==> X }.
% 9.69/10.07 parent0: (47171) {G1,W7,D4,L1,V2,M1} { join( meet( Y, X ), X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47173) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) = join(
% 9.69/10.07 join( X, Y ), Z ) }.
% 9.69/10.07 parent0[0]: (18) {G1,W11,D4,L1,V3,M1} P(1,0) { join( join( X, Y ), Z ) =
% 9.69/10.07 join( join( Y, Z ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 Z := Z
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47174) {G2,W11,D5,L1,V3,M1} { join( X, Z ) = join( join( Z, meet
% 9.69/10.07 ( X, Y ) ), X ) }.
% 9.69/10.07 parent0[0]: (527) {G20,W7,D4,L1,V2,M1} P(497,0) { join( meet( X, Y ), X )
% 9.69/10.07 ==> X }.
% 9.69/10.07 parent1[0; 2]: (47173) {G1,W11,D4,L1,V3,M1} { join( join( Y, Z ), X ) =
% 9.69/10.07 join( join( X, Y ), Z ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := Z
% 9.69/10.07 Y := meet( X, Y )
% 9.69/10.07 Z := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47176) {G2,W11,D5,L1,V3,M1} { join( join( Y, meet( X, Z ) ), X )
% 9.69/10.07 = join( X, Y ) }.
% 9.69/10.07 parent0[0]: (47174) {G2,W11,D5,L1,V3,M1} { join( X, Z ) = join( join( Z,
% 9.69/10.07 meet( X, Y ) ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Z
% 9.69/10.07 Z := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (554) {G21,W11,D5,L1,V3,M1} P(527,18) { join( join( Z, meet( X
% 9.69/10.07 , Y ) ), X ) ==> join( X, Z ) }.
% 9.69/10.07 parent0: (47176) {G2,W11,D5,L1,V3,M1} { join( join( Y, meet( X, Z ) ), X )
% 9.69/10.07 = join( X, Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Z
% 9.69/10.07 Z := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47179) {G18,W9,D4,L1,V2,M1} { meet( Y, X ) ==> meet( X, meet( Y,
% 9.69/10.07 X ) ) }.
% 9.69/10.07 parent0[0]: (482) {G18,W9,D4,L1,V2,M1} P(449,56) { meet( Y, meet( X, Y ) )
% 9.69/10.07 ==> meet( X, Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47181) {G19,W15,D6,L1,V2,M1} { meet( X, complement( meet( Y,
% 9.69/10.07 complement( X ) ) ) ) ==> meet( complement( meet( Y, complement( X ) ) )
% 9.69/10.07 , X ) }.
% 9.69/10.07 parent0[0]: (468) {G19,W9,D6,L1,V2,M1} P(461,30);d(367);d(397) { meet( X,
% 9.69/10.07 complement( meet( Y, complement( X ) ) ) ) ==> X }.
% 9.69/10.07 parent1[0; 14]: (47179) {G18,W9,D4,L1,V2,M1} { meet( Y, X ) ==> meet( X,
% 9.69/10.07 meet( Y, X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := complement( meet( Y, complement( X ) ) )
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47182) {G20,W9,D6,L1,V2,M1} { X ==> meet( complement( meet( Y,
% 9.69/10.07 complement( X ) ) ), X ) }.
% 9.69/10.07 parent0[0]: (468) {G19,W9,D6,L1,V2,M1} P(461,30);d(367);d(397) { meet( X,
% 9.69/10.07 complement( meet( Y, complement( X ) ) ) ) ==> X }.
% 9.69/10.07 parent1[0; 1]: (47181) {G19,W15,D6,L1,V2,M1} { meet( X, complement( meet(
% 9.69/10.07 Y, complement( X ) ) ) ) ==> meet( complement( meet( Y, complement( X ) )
% 9.69/10.07 ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47184) {G20,W9,D6,L1,V2,M1} { meet( complement( meet( Y,
% 9.69/10.07 complement( X ) ) ), X ) ==> X }.
% 9.69/10.07 parent0[0]: (47182) {G20,W9,D6,L1,V2,M1} { X ==> meet( complement( meet( Y
% 9.69/10.07 , complement( X ) ) ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (663) {G20,W9,D6,L1,V2,M1} P(468,482) { meet( complement( meet
% 9.69/10.07 ( Y, complement( X ) ) ), X ) ==> X }.
% 9.69/10.07 parent0: (47184) {G20,W9,D6,L1,V2,M1} { meet( complement( meet( Y,
% 9.69/10.07 complement( X ) ) ), X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47187) {G16,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==>
% 9.69/10.07 join( complement( X ), complement( Y ) ) }.
% 9.69/10.07 parent0[0]: (398) {G16,W10,D4,L1,V2,M1} P(3,383) { join( complement( X ),
% 9.69/10.07 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47188) {G16,W10,D5,L1,V2,M1} { complement( meet( complement( X )
% 9.69/10.07 , Y ) ) ==> join( X, complement( Y ) ) }.
% 9.69/10.07 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.07 ( complement( X ) ) ==> X }.
% 9.69/10.07 parent1[0; 7]: (47187) {G16,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 9.69/10.07 ==> join( complement( X ), complement( Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := complement( X )
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (675) {G17,W10,D5,L1,V2,M1} P(383,398) { complement( meet(
% 9.69/10.07 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 9.69/10.07 parent0: (47188) {G16,W10,D5,L1,V2,M1} { complement( meet( complement( X )
% 9.69/10.07 , Y ) ) ==> join( X, complement( Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47193) {G16,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==>
% 9.69/10.07 join( complement( X ), complement( Y ) ) }.
% 9.69/10.07 parent0[0]: (398) {G16,W10,D4,L1,V2,M1} P(3,383) { join( complement( X ),
% 9.69/10.07 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47195) {G16,W10,D5,L1,V2,M1} { complement( meet( X, complement(
% 9.69/10.07 Y ) ) ) ==> join( complement( X ), Y ) }.
% 9.69/10.07 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.07 ( complement( X ) ) ==> X }.
% 9.69/10.07 parent1[0; 9]: (47193) {G16,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 9.69/10.07 ==> join( complement( X ), complement( Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := complement( Y )
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (676) {G17,W10,D5,L1,V2,M1} P(383,398) { complement( meet( Y,
% 9.69/10.07 complement( X ) ) ) ==> join( complement( Y ), X ) }.
% 9.69/10.07 parent0: (47195) {G16,W10,D5,L1,V2,M1} { complement( meet( X, complement(
% 9.69/10.07 Y ) ) ) ==> join( complement( X ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47198) {G16,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==>
% 9.69/10.07 join( complement( X ), complement( Y ) ) }.
% 9.69/10.07 parent0[0]: (398) {G16,W10,D4,L1,V2,M1} P(3,383) { join( complement( X ),
% 9.69/10.07 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47200) {G1,W10,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==>
% 9.69/10.07 join( complement( Y ), complement( X ) ) }.
% 9.69/10.07 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.07 parent1[0; 5]: (47198) {G16,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 9.69/10.07 ==> join( complement( X ), complement( Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := complement( X )
% 9.69/10.07 Y := complement( Y )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47202) {G2,W9,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==>
% 9.69/10.07 complement( meet( Y, X ) ) }.
% 9.69/10.07 parent0[0]: (398) {G16,W10,D4,L1,V2,M1} P(3,383) { join( complement( X ),
% 9.69/10.07 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 9.69/10.07 parent1[0; 5]: (47200) {G1,W10,D4,L1,V2,M1} { complement( meet( X, Y ) )
% 9.69/10.07 ==> join( complement( Y ), complement( X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (683) {G17,W9,D4,L1,V2,M1} P(398,0);d(398) { complement( meet
% 9.69/10.07 ( X, Y ) ) = complement( meet( Y, X ) ) }.
% 9.69/10.07 parent0: (47202) {G2,W9,D4,L1,V2,M1} { complement( meet( X, Y ) ) ==>
% 9.69/10.07 complement( meet( Y, X ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47203) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement( join(
% 9.69/10.07 complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.07 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47205) {G1,W14,D6,L1,V3,M1} { meet( meet( X, Y ), Z ) ==>
% 9.69/10.07 complement( join( complement( meet( Y, X ) ), complement( Z ) ) ) }.
% 9.69/10.07 parent0[0]: (683) {G17,W9,D4,L1,V2,M1} P(398,0);d(398) { complement( meet(
% 9.69/10.07 X, Y ) ) = complement( meet( Y, X ) ) }.
% 9.69/10.07 parent1[0; 8]: (47203) {G0,W10,D5,L1,V2,M1} { meet( X, Y ) ==> complement
% 9.69/10.07 ( join( complement( X ), complement( Y ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := meet( X, Y )
% 9.69/10.07 Y := Z
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47211) {G1,W11,D4,L1,V3,M1} { meet( meet( X, Y ), Z ) ==> meet(
% 9.69/10.07 meet( Y, X ), Z ) }.
% 9.69/10.07 parent0[0]: (3) {G0,W10,D5,L1,V2,M1} I { complement( join( complement( X )
% 9.69/10.07 , complement( Y ) ) ) ==> meet( X, Y ) }.
% 9.69/10.07 parent1[0; 6]: (47205) {G1,W14,D6,L1,V3,M1} { meet( meet( X, Y ), Z ) ==>
% 9.69/10.07 complement( join( complement( meet( Y, X ) ), complement( Z ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := meet( Y, X )
% 9.69/10.07 Y := Z
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 Z := Z
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (704) {G18,W11,D4,L1,V3,M1} P(683,3);d(3) { meet( meet( Y, X )
% 9.69/10.07 , Z ) = meet( meet( X, Y ), Z ) }.
% 9.69/10.07 parent0: (47211) {G1,W11,D4,L1,V3,M1} { meet( meet( X, Y ), Z ) ==> meet(
% 9.69/10.07 meet( Y, X ), Z ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 Z := Z
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47213) {G20,W9,D6,L1,V2,M1} { Y ==> meet( complement( meet( X,
% 9.69/10.07 complement( Y ) ) ), Y ) }.
% 9.69/10.07 parent0[0]: (663) {G20,W9,D6,L1,V2,M1} P(468,482) { meet( complement( meet
% 9.69/10.07 ( Y, complement( X ) ) ), X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47216) {G18,W9,D6,L1,V2,M1} { X ==> meet( join( Y, complement(
% 9.69/10.07 complement( X ) ) ), X ) }.
% 9.69/10.07 parent0[0]: (675) {G17,W10,D5,L1,V2,M1} P(383,398) { complement( meet(
% 9.69/10.07 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 9.69/10.07 parent1[0; 3]: (47213) {G20,W9,D6,L1,V2,M1} { Y ==> meet( complement( meet
% 9.69/10.07 ( X, complement( Y ) ) ), Y ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := complement( X )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := complement( Y )
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47218) {G16,W7,D4,L1,V2,M1} { X ==> meet( join( Y, X ), X ) }.
% 9.69/10.07 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.07 ( complement( X ) ) ==> X }.
% 9.69/10.07 parent1[0; 5]: (47216) {G18,W9,D6,L1,V2,M1} { X ==> meet( join( Y,
% 9.69/10.07 complement( complement( X ) ) ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47219) {G16,W7,D4,L1,V2,M1} { meet( join( Y, X ), X ) ==> X }.
% 9.69/10.07 parent0[0]: (47218) {G16,W7,D4,L1,V2,M1} { X ==> meet( join( Y, X ), X )
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (811) {G21,W7,D4,L1,V2,M1} P(675,663);d(383) { meet( join( X,
% 9.69/10.07 Y ), Y ) ==> Y }.
% 9.69/10.07 parent0: (47219) {G16,W7,D4,L1,V2,M1} { meet( join( Y, X ), X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47221) {G21,W7,D4,L1,V2,M1} { Y ==> meet( join( X, Y ), Y ) }.
% 9.69/10.07 parent0[0]: (811) {G21,W7,D4,L1,V2,M1} P(675,663);d(383) { meet( join( X, Y
% 9.69/10.07 ), Y ) ==> Y }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47222) {G18,W7,D4,L1,V2,M1} { X ==> meet( join( X, Y ), X ) }.
% 9.69/10.07 parent0[0]: (400) {G17,W9,D4,L1,V2,M1} P(394,19) { join( join( X, Y ), X )
% 9.69/10.07 ==> join( X, Y ) }.
% 9.69/10.07 parent1[0; 3]: (47221) {G21,W7,D4,L1,V2,M1} { Y ==> meet( join( X, Y ), Y
% 9.69/10.07 ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := join( X, Y )
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47223) {G18,W7,D4,L1,V2,M1} { meet( join( X, Y ), X ) ==> X }.
% 9.69/10.07 parent0[0]: (47222) {G18,W7,D4,L1,V2,M1} { X ==> meet( join( X, Y ), X )
% 9.69/10.07 }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (835) {G22,W7,D4,L1,V2,M1} P(400,811) { meet( join( X, Y ), X
% 9.69/10.07 ) ==> X }.
% 9.69/10.07 parent0: (47223) {G18,W7,D4,L1,V2,M1} { meet( join( X, Y ), X ) ==> X }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47225) {G20,W8,D4,L1,V2,M1} { zero ==> meet( complement( X ),
% 9.69/10.07 meet( X, Y ) ) }.
% 9.69/10.07 parent0[0]: (465) {G20,W8,D4,L1,V2,M1} P(56,462) { meet( complement( Y ),
% 9.69/10.07 meet( Y, X ) ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := Y
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47226) {G21,W8,D5,L1,V2,M1} { zero ==> meet( complement( join( X
% 9.69/10.07 , Y ) ), X ) }.
% 9.69/10.07 parent0[0]: (835) {G22,W7,D4,L1,V2,M1} P(400,811) { meet( join( X, Y ), X )
% 9.69/10.07 ==> X }.
% 9.69/10.07 parent1[0; 7]: (47225) {G20,W8,D4,L1,V2,M1} { zero ==> meet( complement( X
% 9.69/10.07 ), meet( X, Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := join( X, Y )
% 9.69/10.07 Y := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47227) {G21,W8,D5,L1,V2,M1} { meet( complement( join( X, Y ) ), X
% 9.69/10.07 ) ==> zero }.
% 9.69/10.07 parent0[0]: (47226) {G21,W8,D5,L1,V2,M1} { zero ==> meet( complement( join
% 9.69/10.07 ( X, Y ) ), X ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (854) {G23,W8,D5,L1,V2,M1} P(835,465) { meet( complement( join
% 9.69/10.07 ( X, Y ) ), X ) ==> zero }.
% 9.69/10.07 parent0: (47227) {G21,W8,D5,L1,V2,M1} { meet( complement( join( X, Y ) ),
% 9.69/10.07 X ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Y
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47230) {G3,W9,D5,L1,V1,M1} { composition( converse( X ),
% 9.69/10.07 complement( composition( X, top ) ) ) ==> zero }.
% 9.69/10.07 parent0[0]: (388) {G15,W5,D3,L1,V1,M1} P(377,334) { join( X, zero ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 parent1[0; 1]: (82) {G2,W11,D6,L1,V1,M1} P(58,10) { join( composition(
% 9.69/10.07 converse( X ), complement( composition( X, top ) ) ), zero ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := composition( converse( X ), complement( composition( X, top ) ) )
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (949) {G16,W9,D5,L1,V1,M1} S(82);d(388) { composition(
% 9.69/10.07 converse( X ), complement( composition( X, top ) ) ) ==> zero }.
% 9.69/10.07 parent0: (47230) {G3,W9,D5,L1,V1,M1} { composition( converse( X ),
% 9.69/10.07 complement( composition( X, top ) ) ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47233) {G16,W9,D5,L1,V1,M1} { zero ==> composition( converse( X )
% 9.69/10.07 , complement( composition( X, top ) ) ) }.
% 9.69/10.07 parent0[0]: (949) {G16,W9,D5,L1,V1,M1} S(82);d(388) { composition( converse
% 9.69/10.07 ( X ), complement( composition( X, top ) ) ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47234) {G10,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 9.69/10.07 complement( composition( top, top ) ) ) }.
% 9.69/10.07 parent0[0]: (208) {G9,W4,D3,L1,V0,M1} P(202,174) { converse( top ) ==> top
% 9.69/10.07 }.
% 9.69/10.07 parent1[0; 3]: (47233) {G16,W9,D5,L1,V1,M1} { zero ==> composition(
% 9.69/10.07 converse( X ), complement( composition( X, top ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := top
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47235) {G10,W8,D5,L1,V0,M1} { composition( top, complement(
% 9.69/10.07 composition( top, top ) ) ) ==> zero }.
% 9.69/10.07 parent0[0]: (47234) {G10,W8,D5,L1,V0,M1} { zero ==> composition( top,
% 9.69/10.07 complement( composition( top, top ) ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 subsumption: (983) {G17,W8,D5,L1,V0,M1} P(208,949) { composition( top,
% 9.69/10.07 complement( composition( top, top ) ) ) ==> zero }.
% 9.69/10.07 parent0: (47235) {G10,W8,D5,L1,V0,M1} { composition( top, complement(
% 9.69/10.07 composition( top, top ) ) ) ==> zero }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 permutation0:
% 9.69/10.07 0 ==> 0
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 eqswap: (47237) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ), Y ) ==>
% 9.69/10.07 join( composition( X, Y ), composition( Z, Y ) ) }.
% 9.69/10.07 parent0[0]: (6) {G0,W13,D4,L1,V3,M1} I { join( composition( X, Z ),
% 9.69/10.07 composition( Y, Z ) ) ==> composition( join( X, Y ), Z ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := X
% 9.69/10.07 Y := Z
% 9.69/10.07 Z := Y
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47242) {G1,W17,D6,L1,V1,M1} { composition( join( X, top ),
% 9.69/10.07 complement( composition( top, top ) ) ) ==> join( composition( X,
% 9.69/10.07 complement( composition( top, top ) ) ), zero ) }.
% 9.69/10.07 parent0[0]: (983) {G17,W8,D5,L1,V0,M1} P(208,949) { composition( top,
% 9.69/10.07 complement( composition( top, top ) ) ) ==> zero }.
% 9.69/10.07 parent1[0; 16]: (47237) {G0,W13,D4,L1,V3,M1} { composition( join( X, Z ),
% 9.69/10.07 Y ) ==> join( composition( X, Y ), composition( Z, Y ) ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 end
% 9.69/10.07 substitution1:
% 9.69/10.07 X := X
% 9.69/10.07 Y := complement( composition( top, top ) )
% 9.69/10.07 Z := top
% 9.69/10.07 end
% 9.69/10.07
% 9.69/10.07 paramod: (47243) {G2,W15,D5,L1,V1,M1} { composition( join( X, top ),
% 9.69/10.07 complement( composition( top, top ) ) ) ==> composition( X, complement(
% 9.69/10.07 composition( top, top ) ) ) }.
% 9.69/10.07 parent0[0]: (388) {G15,W5,D3,L1,V1,M1} P(377,334) { join( X, zero ) ==> X
% 9.69/10.07 }.
% 9.69/10.07 parent1[0; 9]: (47242) {G1,W17,D6,L1,V1,M1} { composition( join( X, top )
% 9.69/10.07 , complement( composition( top, top ) ) ) ==> join( composition( X,
% 9.69/10.07 complement( composition( top, top ) ) ), zero ) }.
% 9.69/10.07 substitution0:
% 9.69/10.07 X := composition( X, complement( composition( top, top ) ) )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47244) {G3,W13,D5,L1,V1,M1} { composition( top, complement(
% 9.69/10.08 composition( top, top ) ) ) ==> composition( X, complement( composition(
% 9.69/10.08 top, top ) ) ) }.
% 9.69/10.08 parent0[0]: (171) {G7,W5,D3,L1,V1,M1} P(163,28);d(168) { join( X, top ) ==>
% 9.69/10.08 top }.
% 9.69/10.08 parent1[0; 2]: (47243) {G2,W15,D5,L1,V1,M1} { composition( join( X, top )
% 9.69/10.08 , complement( composition( top, top ) ) ) ==> composition( X, complement
% 9.69/10.08 ( composition( top, top ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47245) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X, complement
% 9.69/10.08 ( composition( top, top ) ) ) }.
% 9.69/10.08 parent0[0]: (983) {G17,W8,D5,L1,V0,M1} P(208,949) { composition( top,
% 9.69/10.08 complement( composition( top, top ) ) ) ==> zero }.
% 9.69/10.08 parent1[0; 1]: (47244) {G3,W13,D5,L1,V1,M1} { composition( top, complement
% 9.69/10.08 ( composition( top, top ) ) ) ==> composition( X, complement( composition
% 9.69/10.08 ( top, top ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47246) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 9.69/10.08 composition( top, top ) ) ) ==> zero }.
% 9.69/10.08 parent0[0]: (47245) {G4,W8,D5,L1,V1,M1} { zero ==> composition( X,
% 9.69/10.08 complement( composition( top, top ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (988) {G18,W8,D5,L1,V1,M1} P(983,6);d(388);d(171);d(983) {
% 9.69/10.08 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 9.69/10.08 parent0: (47246) {G4,W8,D5,L1,V1,M1} { composition( X, complement(
% 9.69/10.08 composition( top, top ) ) ) ==> zero }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47248) {G0,W11,D4,L1,V3,M1} { composition( composition( X, Y ), Z
% 9.69/10.08 ) ==> composition( X, composition( Y, Z ) ) }.
% 9.69/10.08 parent0[0]: (4) {G0,W11,D4,L1,V3,M1} I { composition( X, composition( Y, Z
% 9.69/10.08 ) ) ==> composition( composition( X, Y ), Z ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 Z := Z
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47251) {G1,W12,D5,L1,V1,M1} { composition( composition( X, top )
% 9.69/10.08 , complement( composition( top, top ) ) ) ==> composition( X, zero ) }.
% 9.69/10.08 parent0[0]: (983) {G17,W8,D5,L1,V0,M1} P(208,949) { composition( top,
% 9.69/10.08 complement( composition( top, top ) ) ) ==> zero }.
% 9.69/10.08 parent1[0; 11]: (47248) {G0,W11,D4,L1,V3,M1} { composition( composition( X
% 9.69/10.08 , Y ), Z ) ==> composition( X, composition( Y, Z ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := top
% 9.69/10.08 Z := complement( composition( top, top ) )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47252) {G2,W5,D3,L1,V1,M1} { zero ==> composition( X, zero ) }.
% 9.69/10.08 parent0[0]: (988) {G18,W8,D5,L1,V1,M1} P(983,6);d(388);d(171);d(983) {
% 9.69/10.08 composition( X, complement( composition( top, top ) ) ) ==> zero }.
% 9.69/10.08 parent1[0; 1]: (47251) {G1,W12,D5,L1,V1,M1} { composition( composition( X
% 9.69/10.08 , top ), complement( composition( top, top ) ) ) ==> composition( X, zero
% 9.69/10.08 ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := composition( X, top )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47253) {G2,W5,D3,L1,V1,M1} { composition( X, zero ) ==> zero }.
% 9.69/10.08 parent0[0]: (47252) {G2,W5,D3,L1,V1,M1} { zero ==> composition( X, zero )
% 9.69/10.08 }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (989) {G19,W5,D3,L1,V1,M1} P(983,4);d(988) { composition( X,
% 9.69/10.08 zero ) ==> zero }.
% 9.69/10.08 parent0: (47253) {G2,W5,D3,L1,V1,M1} { composition( X, zero ) ==> zero }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47255) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ), X ) ==>
% 9.69/10.08 converse( composition( converse( X ), Y ) ) }.
% 9.69/10.08 parent0[0]: (37) {G1,W10,D5,L1,V2,M1} P(7,9) { converse( composition(
% 9.69/10.08 converse( X ), Y ) ) ==> composition( converse( Y ), X ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47258) {G2,W7,D4,L1,V1,M1} { composition( converse( zero ), X )
% 9.69/10.08 ==> converse( zero ) }.
% 9.69/10.08 parent0[0]: (989) {G19,W5,D3,L1,V1,M1} P(983,4);d(988) { composition( X,
% 9.69/10.08 zero ) ==> zero }.
% 9.69/10.08 parent1[0; 6]: (47255) {G1,W10,D5,L1,V2,M1} { composition( converse( Y ),
% 9.69/10.08 X ) ==> converse( composition( converse( X ), Y ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := converse( X )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := zero
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47260) {G3,W6,D4,L1,V1,M1} { composition( converse( zero ), X )
% 9.69/10.08 ==> zero }.
% 9.69/10.08 parent0[0]: (402) {G17,W4,D3,L1,V0,M1} P(392,387) { converse( zero ) ==>
% 9.69/10.08 zero }.
% 9.69/10.08 parent1[0; 5]: (47258) {G2,W7,D4,L1,V1,M1} { composition( converse( zero )
% 9.69/10.08 , X ) ==> converse( zero ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47261) {G4,W5,D3,L1,V1,M1} { composition( zero, X ) ==> zero }.
% 9.69/10.08 parent0[0]: (402) {G17,W4,D3,L1,V0,M1} P(392,387) { converse( zero ) ==>
% 9.69/10.08 zero }.
% 9.69/10.08 parent1[0; 2]: (47260) {G3,W6,D4,L1,V1,M1} { composition( converse( zero )
% 9.69/10.08 , X ) ==> zero }.
% 9.69/10.08 substitution0:
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (992) {G20,W5,D3,L1,V1,M1} P(989,37);d(402) { composition(
% 9.69/10.08 zero, X ) ==> zero }.
% 9.69/10.08 parent0: (47261) {G4,W5,D3,L1,V1,M1} { composition( zero, X ) ==> zero }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47267) {G2,W10,D5,L1,V2,M1} { join( meet( X, Y ), meet( X,
% 9.69/10.08 complement( Y ) ) ) ==> X }.
% 9.69/10.08 parent0[0]: (397) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join(
% 9.69/10.08 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 9.69/10.08 parent1[0; 5]: (30) {G1,W11,D6,L1,V2,M1} S(2);d(3) { join( meet( X, Y ),
% 9.69/10.08 complement( join( complement( X ), Y ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (1005) {G17,W10,D5,L1,V2,M1} S(30);d(397) { join( meet( X, Y )
% 9.69/10.08 , meet( X, complement( Y ) ) ) ==> X }.
% 9.69/10.08 parent0: (47267) {G2,W10,D5,L1,V2,M1} { join( meet( X, Y ), meet( X,
% 9.69/10.08 complement( Y ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47270) {G23,W8,D5,L1,V2,M1} { zero ==> meet( complement( join( X
% 9.69/10.08 , Y ) ), X ) }.
% 9.69/10.08 parent0[0]: (854) {G23,W8,D5,L1,V2,M1} P(835,465) { meet( complement( join
% 9.69/10.08 ( X, Y ) ), X ) ==> zero }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47272) {G2,W11,D5,L1,V1,M1} { zero ==> meet( complement(
% 9.69/10.08 complement( one ) ), composition( converse( X ), complement( X ) ) ) }.
% 9.69/10.08 parent0[0]: (90) {G1,W11,D5,L1,V1,M1} P(5,10) { join( composition( converse
% 9.69/10.08 ( X ), complement( X ) ), complement( one ) ) ==> complement( one ) }.
% 9.69/10.08 parent1[0; 4]: (47270) {G23,W8,D5,L1,V2,M1} { zero ==> meet( complement(
% 9.69/10.08 join( X, Y ) ), X ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := composition( converse( X ), complement( X ) )
% 9.69/10.08 Y := complement( one )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47273) {G3,W9,D5,L1,V1,M1} { zero ==> meet( one, composition(
% 9.69/10.08 converse( X ), complement( X ) ) ) }.
% 9.69/10.08 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.08 ( complement( X ) ) ==> X }.
% 9.69/10.08 parent1[0; 3]: (47272) {G2,W11,D5,L1,V1,M1} { zero ==> meet( complement(
% 9.69/10.08 complement( one ) ), composition( converse( X ), complement( X ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := one
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47274) {G3,W9,D5,L1,V1,M1} { meet( one, composition( converse( X
% 9.69/10.08 ), complement( X ) ) ) ==> zero }.
% 9.69/10.08 parent0[0]: (47273) {G3,W9,D5,L1,V1,M1} { zero ==> meet( one, composition
% 9.69/10.08 ( converse( X ), complement( X ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (1194) {G24,W9,D5,L1,V1,M1} P(90,854);d(383) { meet( one,
% 9.69/10.08 composition( converse( X ), complement( X ) ) ) ==> zero }.
% 9.69/10.08 parent0: (47274) {G3,W9,D5,L1,V1,M1} { meet( one, composition( converse( X
% 9.69/10.08 ), complement( X ) ) ) ==> zero }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47276) {G24,W9,D5,L1,V1,M1} { zero ==> meet( one, composition(
% 9.69/10.08 converse( X ), complement( X ) ) ) }.
% 9.69/10.08 parent0[0]: (1194) {G24,W9,D5,L1,V1,M1} P(90,854);d(383) { meet( one,
% 9.69/10.08 composition( converse( X ), complement( X ) ) ) ==> zero }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47277) {G16,W9,D6,L1,V1,M1} { zero ==> meet( one, composition(
% 9.69/10.08 converse( complement( X ) ), X ) ) }.
% 9.69/10.08 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.08 ( complement( X ) ) ==> X }.
% 9.69/10.08 parent1[0; 8]: (47276) {G24,W9,D5,L1,V1,M1} { zero ==> meet( one,
% 9.69/10.08 composition( converse( X ), complement( X ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := complement( X )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47278) {G16,W9,D6,L1,V1,M1} { meet( one, composition( converse(
% 9.69/10.08 complement( X ) ), X ) ) ==> zero }.
% 9.69/10.08 parent0[0]: (47277) {G16,W9,D6,L1,V1,M1} { zero ==> meet( one, composition
% 9.69/10.08 ( converse( complement( X ) ), X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (1424) {G25,W9,D6,L1,V1,M1} P(383,1194) { meet( one,
% 9.69/10.08 composition( converse( complement( X ) ), X ) ) ==> zero }.
% 9.69/10.08 parent0: (47278) {G16,W9,D6,L1,V1,M1} { meet( one, composition( converse(
% 9.69/10.08 complement( X ) ), X ) ) ==> zero }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47280) {G0,W27,D8,L1,V3,M1} { meet( composition( meet( X,
% 9.69/10.08 composition( Z, converse( Y ) ) ), Y ), Z ) ==> join( meet( composition(
% 9.69/10.08 X, Y ), Z ), meet( composition( meet( X, composition( Z, converse( Y ) )
% 9.69/10.08 ), Y ), Z ) ) }.
% 9.69/10.08 parent0[0]: (15) {G0,W27,D8,L1,V3,M1} I { join( meet( composition( X, Y ),
% 9.69/10.08 Z ), meet( composition( meet( X, composition( Z, converse( Y ) ) ), Y ),
% 9.69/10.08 Z ) ) ==> meet( composition( meet( X, composition( Z, converse( Y ) ) ),
% 9.69/10.08 Y ), Z ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 Z := Z
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47286) {G1,W34,D9,L1,V1,M1} { meet( composition( meet( one,
% 9.69/10.08 composition( converse( complement( converse( X ) ) ), converse( X ) ) ),
% 9.69/10.08 X ), converse( complement( converse( X ) ) ) ) ==> join( meet(
% 9.69/10.08 composition( one, X ), converse( complement( converse( X ) ) ) ), meet(
% 9.69/10.08 composition( zero, X ), converse( complement( converse( X ) ) ) ) ) }.
% 9.69/10.08 parent0[0]: (1424) {G25,W9,D6,L1,V1,M1} P(383,1194) { meet( one,
% 9.69/10.08 composition( converse( complement( X ) ), X ) ) ==> zero }.
% 9.69/10.08 parent1[0; 28]: (47280) {G0,W27,D8,L1,V3,M1} { meet( composition( meet( X
% 9.69/10.08 , composition( Z, converse( Y ) ) ), Y ), Z ) ==> join( meet( composition
% 9.69/10.08 ( X, Y ), Z ), meet( composition( meet( X, composition( Z, converse( Y )
% 9.69/10.08 ) ), Y ), Z ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := converse( X )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := one
% 9.69/10.08 Y := X
% 9.69/10.08 Z := converse( complement( converse( X ) ) )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47287) {G2,W26,D7,L1,V1,M1} { meet( composition( zero, X ),
% 9.69/10.08 converse( complement( converse( X ) ) ) ) ==> join( meet( composition(
% 9.69/10.08 one, X ), converse( complement( converse( X ) ) ) ), meet( composition(
% 9.69/10.08 zero, X ), converse( complement( converse( X ) ) ) ) ) }.
% 9.69/10.08 parent0[0]: (1424) {G25,W9,D6,L1,V1,M1} P(383,1194) { meet( one,
% 9.69/10.08 composition( converse( complement( X ) ), X ) ) ==> zero }.
% 9.69/10.08 parent1[0; 3]: (47286) {G1,W34,D9,L1,V1,M1} { meet( composition( meet( one
% 9.69/10.08 , composition( converse( complement( converse( X ) ) ), converse( X ) ) )
% 9.69/10.08 , X ), converse( complement( converse( X ) ) ) ) ==> join( meet(
% 9.69/10.08 composition( one, X ), converse( complement( converse( X ) ) ) ), meet(
% 9.69/10.08 composition( zero, X ), converse( complement( converse( X ) ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := converse( X )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47293) {G3,W24,D7,L1,V1,M1} { meet( composition( zero, X ),
% 9.69/10.08 converse( complement( converse( X ) ) ) ) ==> join( meet( X, converse(
% 9.69/10.08 complement( converse( X ) ) ) ), meet( composition( zero, X ), converse(
% 9.69/10.08 complement( converse( X ) ) ) ) ) }.
% 9.69/10.08 parent0[0]: (277) {G4,W5,D3,L1,V1,M1} P(275,269) { composition( one, X )
% 9.69/10.08 ==> X }.
% 9.69/10.08 parent1[0; 11]: (47287) {G2,W26,D7,L1,V1,M1} { meet( composition( zero, X
% 9.69/10.08 ), converse( complement( converse( X ) ) ) ) ==> join( meet( composition
% 9.69/10.08 ( one, X ), converse( complement( converse( X ) ) ) ), meet( composition
% 9.69/10.08 ( zero, X ), converse( complement( converse( X ) ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47295) {G4,W22,D7,L1,V1,M1} { meet( composition( zero, X ),
% 9.69/10.08 converse( complement( converse( X ) ) ) ) ==> join( meet( X, converse(
% 9.69/10.08 complement( converse( X ) ) ) ), meet( zero, converse( complement(
% 9.69/10.08 converse( X ) ) ) ) ) }.
% 9.69/10.08 parent0[0]: (992) {G20,W5,D3,L1,V1,M1} P(989,37);d(402) { composition( zero
% 9.69/10.08 , X ) ==> zero }.
% 9.69/10.08 parent1[0; 17]: (47293) {G3,W24,D7,L1,V1,M1} { meet( composition( zero, X
% 9.69/10.08 ), converse( complement( converse( X ) ) ) ) ==> join( meet( X, converse
% 9.69/10.08 ( complement( converse( X ) ) ) ), meet( composition( zero, X ), converse
% 9.69/10.08 ( complement( converse( X ) ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47296) {G5,W20,D7,L1,V1,M1} { meet( zero, converse( complement(
% 9.69/10.08 converse( X ) ) ) ) ==> join( meet( X, converse( complement( converse( X
% 9.69/10.08 ) ) ) ), meet( zero, converse( complement( converse( X ) ) ) ) ) }.
% 9.69/10.08 parent0[0]: (992) {G20,W5,D3,L1,V1,M1} P(989,37);d(402) { composition( zero
% 9.69/10.08 , X ) ==> zero }.
% 9.69/10.08 parent1[0; 2]: (47295) {G4,W22,D7,L1,V1,M1} { meet( composition( zero, X )
% 9.69/10.08 , converse( complement( converse( X ) ) ) ) ==> join( meet( X, converse(
% 9.69/10.08 complement( converse( X ) ) ) ), meet( zero, converse( complement(
% 9.69/10.08 converse( X ) ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47301) {G6,W15,D7,L1,V1,M1} { meet( zero, converse( complement(
% 9.69/10.08 converse( X ) ) ) ) ==> join( meet( X, converse( complement( converse( X
% 9.69/10.08 ) ) ) ), zero ) }.
% 9.69/10.08 parent0[0]: (352) {G13,W5,D3,L1,V1,M1} P(349,3);d(174);d(58) { meet( zero,
% 9.69/10.08 X ) ==> zero }.
% 9.69/10.08 parent1[0; 14]: (47296) {G5,W20,D7,L1,V1,M1} { meet( zero, converse(
% 9.69/10.08 complement( converse( X ) ) ) ) ==> join( meet( X, converse( complement(
% 9.69/10.08 converse( X ) ) ) ), meet( zero, converse( complement( converse( X ) ) )
% 9.69/10.08 ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := converse( complement( converse( X ) ) )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47302) {G7,W10,D7,L1,V1,M1} { zero ==> join( meet( X, converse(
% 9.69/10.08 complement( converse( X ) ) ) ), zero ) }.
% 9.69/10.08 parent0[0]: (352) {G13,W5,D3,L1,V1,M1} P(349,3);d(174);d(58) { meet( zero,
% 9.69/10.08 X ) ==> zero }.
% 9.69/10.08 parent1[0; 1]: (47301) {G6,W15,D7,L1,V1,M1} { meet( zero, converse(
% 9.69/10.08 complement( converse( X ) ) ) ) ==> join( meet( X, converse( complement(
% 9.69/10.08 converse( X ) ) ) ), zero ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := converse( complement( converse( X ) ) )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47305) {G8,W8,D6,L1,V1,M1} { zero ==> meet( X, converse(
% 9.69/10.08 complement( converse( X ) ) ) ) }.
% 9.69/10.08 parent0[0]: (388) {G15,W5,D3,L1,V1,M1} P(377,334) { join( X, zero ) ==> X
% 9.69/10.08 }.
% 9.69/10.08 parent1[0; 2]: (47302) {G7,W10,D7,L1,V1,M1} { zero ==> join( meet( X,
% 9.69/10.08 converse( complement( converse( X ) ) ) ), zero ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := meet( X, converse( complement( converse( X ) ) ) )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47306) {G8,W8,D6,L1,V1,M1} { meet( X, converse( complement(
% 9.69/10.08 converse( X ) ) ) ) ==> zero }.
% 9.69/10.08 parent0[0]: (47305) {G8,W8,D6,L1,V1,M1} { zero ==> meet( X, converse(
% 9.69/10.08 complement( converse( X ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (1449) {G26,W8,D6,L1,V1,M1} P(1424,15);d(277);d(992);d(352);d(
% 9.69/10.08 388) { meet( X, converse( complement( converse( X ) ) ) ) ==> zero }.
% 9.69/10.08 parent0: (47306) {G8,W8,D6,L1,V1,M1} { meet( X, converse( complement(
% 9.69/10.08 converse( X ) ) ) ) ==> zero }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47308) {G17,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ), meet( X
% 9.69/10.08 , complement( Y ) ) ) }.
% 9.69/10.08 parent0[0]: (1005) {G17,W10,D5,L1,V2,M1} S(30);d(397) { join( meet( X, Y )
% 9.69/10.08 , meet( X, complement( Y ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47310) {G18,W11,D8,L1,V1,M1} { X ==> join( zero, meet( X,
% 9.69/10.08 complement( converse( complement( converse( X ) ) ) ) ) ) }.
% 9.69/10.08 parent0[0]: (1449) {G26,W8,D6,L1,V1,M1} P(1424,15);d(277);d(992);d(352);d(
% 9.69/10.08 388) { meet( X, converse( complement( converse( X ) ) ) ) ==> zero }.
% 9.69/10.08 parent1[0; 3]: (47308) {G17,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.08 meet( X, complement( Y ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := converse( complement( converse( X ) ) )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47311) {G16,W9,D7,L1,V1,M1} { X ==> meet( X, complement(
% 9.69/10.08 converse( complement( converse( X ) ) ) ) ) }.
% 9.69/10.08 parent0[0]: (387) {G15,W5,D3,L1,V1,M1} P(377,339) { join( zero, X ) ==> X
% 9.69/10.08 }.
% 9.69/10.08 parent1[0; 2]: (47310) {G18,W11,D8,L1,V1,M1} { X ==> join( zero, meet( X,
% 9.69/10.08 complement( converse( complement( converse( X ) ) ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := meet( X, complement( converse( complement( converse( X ) ) ) ) )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47312) {G16,W9,D7,L1,V1,M1} { meet( X, complement( converse(
% 9.69/10.08 complement( converse( X ) ) ) ) ) ==> X }.
% 9.69/10.08 parent0[0]: (47311) {G16,W9,D7,L1,V1,M1} { X ==> meet( X, complement(
% 9.69/10.08 converse( complement( converse( X ) ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (1929) {G27,W9,D7,L1,V1,M1} P(1449,1005);d(387) { meet( X,
% 9.69/10.08 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 9.69/10.08 parent0: (47312) {G16,W9,D7,L1,V1,M1} { meet( X, complement( converse(
% 9.69/10.08 complement( converse( X ) ) ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47313) {G17,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ), meet( X
% 9.69/10.08 , complement( Y ) ) ) }.
% 9.69/10.08 parent0[0]: (1005) {G17,W10,D5,L1,V2,M1} S(30);d(397) { join( meet( X, Y )
% 9.69/10.08 , meet( X, complement( Y ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47314) {G2,W10,D5,L1,V2,M1} { X ==> join( meet( Y, X ), meet( X
% 9.69/10.08 , complement( Y ) ) ) }.
% 9.69/10.08 parent0[0]: (56) {G1,W7,D3,L1,V2,M1} P(0,3);d(3) { meet( Y, X ) = meet( X,
% 9.69/10.08 Y ) }.
% 9.69/10.08 parent1[0; 3]: (47313) {G17,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.08 meet( X, complement( Y ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47318) {G2,W10,D5,L1,V2,M1} { join( meet( Y, X ), meet( X,
% 9.69/10.08 complement( Y ) ) ) ==> X }.
% 9.69/10.08 parent0[0]: (47314) {G2,W10,D5,L1,V2,M1} { X ==> join( meet( Y, X ), meet
% 9.69/10.08 ( X, complement( Y ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (1949) {G18,W10,D5,L1,V2,M1} P(56,1005) { join( meet( Y, X ),
% 9.69/10.08 meet( X, complement( Y ) ) ) ==> X }.
% 9.69/10.08 parent0: (47318) {G2,W10,D5,L1,V2,M1} { join( meet( Y, X ), meet( X,
% 9.69/10.08 complement( Y ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47323) {G17,W10,D5,L1,V2,M1} { join( X, complement( Y ) ) ==>
% 9.69/10.08 complement( meet( complement( X ), Y ) ) }.
% 9.69/10.08 parent0[0]: (675) {G17,W10,D5,L1,V2,M1} P(383,398) { complement( meet(
% 9.69/10.08 complement( X ), Y ) ) ==> join( X, complement( Y ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47326) {G18,W13,D9,L1,V1,M1} { join( X, complement( complement(
% 9.69/10.08 converse( complement( converse( complement( X ) ) ) ) ) ) ) ==>
% 9.69/10.08 complement( complement( X ) ) }.
% 9.69/10.08 parent0[0]: (1929) {G27,W9,D7,L1,V1,M1} P(1449,1005);d(387) { meet( X,
% 9.69/10.08 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 9.69/10.08 parent1[0; 11]: (47323) {G17,W10,D5,L1,V2,M1} { join( X, complement( Y ) )
% 9.69/10.08 ==> complement( meet( complement( X ), Y ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := complement( X )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := complement( converse( complement( converse( complement( X ) ) ) ) )
% 9.69/10.08
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47328) {G16,W11,D9,L1,V1,M1} { join( X, complement( complement(
% 9.69/10.08 converse( complement( converse( complement( X ) ) ) ) ) ) ) ==> X }.
% 9.69/10.08 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.08 ( complement( X ) ) ==> X }.
% 9.69/10.08 parent1[0; 10]: (47326) {G18,W13,D9,L1,V1,M1} { join( X, complement(
% 9.69/10.08 complement( converse( complement( converse( complement( X ) ) ) ) ) ) )
% 9.69/10.08 ==> complement( complement( X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47330) {G16,W9,D7,L1,V1,M1} { join( X, converse( complement(
% 9.69/10.08 converse( complement( X ) ) ) ) ) ==> X }.
% 9.69/10.08 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.08 ( complement( X ) ) ==> X }.
% 9.69/10.08 parent1[0; 3]: (47328) {G16,W11,D9,L1,V1,M1} { join( X, complement(
% 9.69/10.08 complement( converse( complement( converse( complement( X ) ) ) ) ) ) )
% 9.69/10.08 ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := converse( complement( converse( complement( X ) ) ) )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (2006) {G28,W9,D7,L1,V1,M1} P(1929,675);d(383);d(383) { join(
% 9.69/10.08 X, converse( complement( converse( complement( X ) ) ) ) ) ==> X }.
% 9.69/10.08 parent0: (47330) {G16,W9,D7,L1,V1,M1} { join( X, converse( complement(
% 9.69/10.08 converse( complement( X ) ) ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47333) {G21,W7,D4,L1,V2,M1} { Y ==> join( meet( X, Y ), Y ) }.
% 9.69/10.08 parent0[0]: (546) {G21,W7,D4,L1,V2,M1} P(512,0) { join( meet( Y, X ), X )
% 9.69/10.08 ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47334) {G22,W13,D7,L1,V1,M1} { complement( converse( complement
% 9.69/10.08 ( converse( X ) ) ) ) ==> join( X, complement( converse( complement(
% 9.69/10.08 converse( X ) ) ) ) ) }.
% 9.69/10.08 parent0[0]: (1929) {G27,W9,D7,L1,V1,M1} P(1449,1005);d(387) { meet( X,
% 9.69/10.08 complement( converse( complement( converse( X ) ) ) ) ) ==> X }.
% 9.69/10.08 parent1[0; 7]: (47333) {G21,W7,D4,L1,V2,M1} { Y ==> join( meet( X, Y ), Y
% 9.69/10.08 ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := complement( converse( complement( converse( X ) ) ) )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47335) {G22,W13,D7,L1,V1,M1} { join( X, complement( converse(
% 9.69/10.08 complement( converse( X ) ) ) ) ) ==> complement( converse( complement(
% 9.69/10.08 converse( X ) ) ) ) }.
% 9.69/10.08 parent0[0]: (47334) {G22,W13,D7,L1,V1,M1} { complement( converse(
% 9.69/10.08 complement( converse( X ) ) ) ) ==> join( X, complement( converse(
% 9.69/10.08 complement( converse( X ) ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (2011) {G28,W13,D7,L1,V1,M1} P(1929,546) { join( X, complement
% 9.69/10.08 ( converse( complement( converse( X ) ) ) ) ) ==> complement( converse(
% 9.69/10.08 complement( converse( X ) ) ) ) }.
% 9.69/10.08 parent0: (47335) {G22,W13,D7,L1,V1,M1} { join( X, complement( converse(
% 9.69/10.08 complement( converse( X ) ) ) ) ) ==> complement( converse( complement(
% 9.69/10.08 converse( X ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47337) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) ) ==>
% 9.69/10.08 converse( join( converse( X ), Y ) ) }.
% 9.69/10.08 parent0[0]: (42) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( converse( X
% 9.69/10.08 ), Y ) ) ==> join( X, converse( Y ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47342) {G2,W13,D9,L1,V1,M1} { join( X, converse( converse(
% 9.69/10.08 complement( converse( complement( converse( X ) ) ) ) ) ) ) ==> converse
% 9.69/10.08 ( converse( X ) ) }.
% 9.69/10.08 parent0[0]: (2006) {G28,W9,D7,L1,V1,M1} P(1929,675);d(383);d(383) { join( X
% 9.69/10.08 , converse( complement( converse( complement( X ) ) ) ) ) ==> X }.
% 9.69/10.08 parent1[0; 11]: (47337) {G1,W10,D5,L1,V2,M1} { join( X, converse( Y ) )
% 9.69/10.08 ==> converse( join( converse( X ), Y ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := converse( X )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := converse( complement( converse( complement( converse( X ) ) ) ) )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47344) {G1,W11,D9,L1,V1,M1} { join( X, converse( converse(
% 9.69/10.08 complement( converse( complement( converse( X ) ) ) ) ) ) ) ==> X }.
% 9.69/10.08 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 9.69/10.08 parent1[0; 10]: (47342) {G2,W13,D9,L1,V1,M1} { join( X, converse( converse
% 9.69/10.08 ( complement( converse( complement( converse( X ) ) ) ) ) ) ) ==>
% 9.69/10.08 converse( converse( X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47346) {G1,W9,D7,L1,V1,M1} { join( X, complement( converse(
% 9.69/10.08 complement( converse( X ) ) ) ) ) ==> X }.
% 9.69/10.08 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 9.69/10.08 parent1[0; 3]: (47344) {G1,W11,D9,L1,V1,M1} { join( X, converse( converse
% 9.69/10.08 ( complement( converse( complement( converse( X ) ) ) ) ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := complement( converse( complement( converse( X ) ) ) )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47347) {G2,W7,D6,L1,V1,M1} { complement( converse( complement(
% 9.69/10.08 converse( X ) ) ) ) ==> X }.
% 9.69/10.08 parent0[0]: (2011) {G28,W13,D7,L1,V1,M1} P(1929,546) { join( X, complement
% 9.69/10.08 ( converse( complement( converse( X ) ) ) ) ) ==> complement( converse(
% 9.69/10.08 complement( converse( X ) ) ) ) }.
% 9.69/10.08 parent1[0; 1]: (47346) {G1,W9,D7,L1,V1,M1} { join( X, complement( converse
% 9.69/10.08 ( complement( converse( X ) ) ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (2041) {G29,W7,D6,L1,V1,M1} P(2006,42);d(7);d(7);d(2011) {
% 9.69/10.08 complement( converse( complement( converse( X ) ) ) ) ==> X }.
% 9.69/10.08 parent0: (47347) {G2,W7,D6,L1,V1,M1} { complement( converse( complement(
% 9.69/10.08 converse( X ) ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47350) {G15,W5,D4,L1,V1,M1} { X ==> complement( complement( X ) )
% 9.69/10.08 }.
% 9.69/10.08 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.08 ( complement( X ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47351) {G16,W7,D5,L1,V1,M1} { converse( complement( converse( X
% 9.69/10.08 ) ) ) ==> complement( X ) }.
% 9.69/10.08 parent0[0]: (2041) {G29,W7,D6,L1,V1,M1} P(2006,42);d(7);d(7);d(2011) {
% 9.69/10.08 complement( converse( complement( converse( X ) ) ) ) ==> X }.
% 9.69/10.08 parent1[0; 6]: (47350) {G15,W5,D4,L1,V1,M1} { X ==> complement( complement
% 9.69/10.08 ( X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := converse( complement( converse( X ) ) )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (2099) {G30,W7,D5,L1,V1,M1} P(2041,383) { converse( complement
% 9.69/10.08 ( converse( X ) ) ) ==> complement( X ) }.
% 9.69/10.08 parent0: (47351) {G16,W7,D5,L1,V1,M1} { converse( complement( converse( X
% 9.69/10.08 ) ) ) ==> complement( X ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47354) {G29,W7,D6,L1,V1,M1} { X ==> complement( converse(
% 9.69/10.08 complement( converse( X ) ) ) ) }.
% 9.69/10.08 parent0[0]: (2041) {G29,W7,D6,L1,V1,M1} P(2006,42);d(7);d(7);d(2011) {
% 9.69/10.08 complement( converse( complement( converse( X ) ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47355) {G1,W7,D5,L1,V1,M1} { converse( X ) ==> complement(
% 9.69/10.08 converse( complement( X ) ) ) }.
% 9.69/10.08 parent0[0]: (7) {G0,W5,D4,L1,V1,M1} I { converse( converse( X ) ) ==> X }.
% 9.69/10.08 parent1[0; 6]: (47354) {G29,W7,D6,L1,V1,M1} { X ==> complement( converse(
% 9.69/10.08 complement( converse( X ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := converse( X )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47356) {G1,W7,D5,L1,V1,M1} { complement( converse( complement( X
% 9.69/10.08 ) ) ) ==> converse( X ) }.
% 9.69/10.08 parent0[0]: (47355) {G1,W7,D5,L1,V1,M1} { converse( X ) ==> complement(
% 9.69/10.08 converse( complement( X ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (2104) {G30,W7,D5,L1,V1,M1} P(7,2041) { complement( converse(
% 9.69/10.08 complement( X ) ) ) ==> converse( X ) }.
% 9.69/10.08 parent0: (47356) {G1,W7,D5,L1,V1,M1} { complement( converse( complement( X
% 9.69/10.08 ) ) ) ==> converse( X ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47358) {G29,W7,D6,L1,V1,M1} { X ==> complement( converse(
% 9.69/10.08 complement( converse( X ) ) ) ) }.
% 9.69/10.08 parent0[0]: (2041) {G29,W7,D6,L1,V1,M1} P(2006,42);d(7);d(7);d(2011) {
% 9.69/10.08 complement( converse( complement( converse( X ) ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47363) {G30,W9,D6,L1,V1,M1} { complement( converse( X ) ) ==>
% 9.69/10.08 complement( converse( complement( complement( X ) ) ) ) }.
% 9.69/10.08 parent0[0]: (2099) {G30,W7,D5,L1,V1,M1} P(2041,383) { converse( complement
% 9.69/10.08 ( converse( X ) ) ) ==> complement( X ) }.
% 9.69/10.08 parent1[0; 7]: (47358) {G29,W7,D6,L1,V1,M1} { X ==> complement( converse(
% 9.69/10.08 complement( converse( X ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := complement( converse( X ) )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47364) {G31,W7,D4,L1,V1,M1} { complement( converse( X ) ) ==>
% 9.69/10.08 converse( complement( X ) ) }.
% 9.69/10.08 parent0[0]: (2104) {G30,W7,D5,L1,V1,M1} P(7,2041) { complement( converse(
% 9.69/10.08 complement( X ) ) ) ==> converse( X ) }.
% 9.69/10.08 parent1[0; 4]: (47363) {G30,W9,D6,L1,V1,M1} { complement( converse( X ) )
% 9.69/10.08 ==> complement( converse( complement( complement( X ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := complement( X )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47365) {G31,W7,D4,L1,V1,M1} { converse( complement( X ) ) ==>
% 9.69/10.08 complement( converse( X ) ) }.
% 9.69/10.08 parent0[0]: (47364) {G31,W7,D4,L1,V1,M1} { complement( converse( X ) ) ==>
% 9.69/10.08 converse( complement( X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (2105) {G31,W7,D4,L1,V1,M1} P(2099,2041);d(2104) { converse(
% 9.69/10.08 complement( X ) ) ==> complement( converse( X ) ) }.
% 9.69/10.08 parent0: (47365) {G31,W7,D4,L1,V1,M1} { converse( complement( X ) ) ==>
% 9.69/10.08 complement( converse( X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47367) {G1,W10,D5,L1,V2,M1} { join( converse( X ), Y ) ==>
% 9.69/10.08 converse( join( X, converse( Y ) ) ) }.
% 9.69/10.08 parent0[0]: (43) {G1,W10,D5,L1,V2,M1} P(7,8) { converse( join( Y, converse
% 9.69/10.08 ( X ) ) ) ==> join( converse( Y ), X ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47371) {G2,W12,D5,L1,V2,M1} { join( converse( X ), complement(
% 9.69/10.08 converse( Y ) ) ) ==> converse( join( X, complement( Y ) ) ) }.
% 9.69/10.08 parent0[0]: (2099) {G30,W7,D5,L1,V1,M1} P(2041,383) { converse( complement
% 9.69/10.08 ( converse( X ) ) ) ==> complement( X ) }.
% 9.69/10.08 parent1[0; 10]: (47367) {G1,W10,D5,L1,V2,M1} { join( converse( X ), Y )
% 9.69/10.08 ==> converse( join( X, converse( Y ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := complement( converse( Y ) )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (2125) {G31,W12,D5,L1,V2,M1} P(2099,43) { join( converse( Y )
% 9.69/10.08 , complement( converse( X ) ) ) ==> converse( join( Y, complement( X ) )
% 9.69/10.08 ) }.
% 9.69/10.08 parent0: (47371) {G2,W12,D5,L1,V2,M1} { join( converse( X ), complement(
% 9.69/10.08 converse( Y ) ) ) ==> converse( join( X, complement( Y ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47374) {G30,W7,D5,L1,V1,M1} { complement( X ) ==> converse(
% 9.69/10.08 complement( converse( X ) ) ) }.
% 9.69/10.08 parent0[0]: (2099) {G30,W7,D5,L1,V1,M1} P(2041,383) { converse( complement
% 9.69/10.08 ( converse( X ) ) ) ==> complement( X ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47376) {G2,W11,D6,L1,V2,M1} { complement( join( X, Y ) ) ==>
% 9.69/10.08 converse( complement( converse( join( Y, X ) ) ) ) }.
% 9.69/10.08 parent0[0]: (41) {G1,W9,D4,L1,V2,M1} P(8,0);d(8) { converse( join( X, Y ) )
% 9.69/10.08 = converse( join( Y, X ) ) }.
% 9.69/10.08 parent1[0; 7]: (47374) {G30,W7,D5,L1,V1,M1} { complement( X ) ==> converse
% 9.69/10.08 ( complement( converse( X ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := join( X, Y )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47378) {G3,W9,D4,L1,V2,M1} { complement( join( X, Y ) ) ==>
% 9.69/10.08 complement( join( Y, X ) ) }.
% 9.69/10.08 parent0[0]: (2099) {G30,W7,D5,L1,V1,M1} P(2041,383) { converse( complement
% 9.69/10.08 ( converse( X ) ) ) ==> complement( X ) }.
% 9.69/10.08 parent1[0; 5]: (47376) {G2,W11,D6,L1,V2,M1} { complement( join( X, Y ) )
% 9.69/10.08 ==> converse( complement( converse( join( Y, X ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := join( Y, X )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (2130) {G31,W9,D4,L1,V2,M1} P(41,2099);d(2099) { complement(
% 9.69/10.08 join( Y, X ) ) = complement( join( X, Y ) ) }.
% 9.69/10.08 parent0: (47378) {G3,W9,D4,L1,V2,M1} { complement( join( X, Y ) ) ==>
% 9.69/10.08 complement( join( Y, X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47379) {G0,W6,D4,L1,V1,M1} { zero ==> meet( X, complement( X ) )
% 9.69/10.08 }.
% 9.69/10.08 parent0[0]: (12) {G0,W6,D4,L1,V1,M1} I { meet( X, complement( X ) ) ==>
% 9.69/10.08 zero }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47380) {G1,W10,D5,L1,V2,M1} { zero ==> meet( join( X, Y ),
% 9.69/10.08 complement( join( Y, X ) ) ) }.
% 9.69/10.08 parent0[0]: (2130) {G31,W9,D4,L1,V2,M1} P(41,2099);d(2099) { complement(
% 9.69/10.08 join( Y, X ) ) = complement( join( X, Y ) ) }.
% 9.69/10.08 parent1[0; 6]: (47379) {G0,W6,D4,L1,V1,M1} { zero ==> meet( X, complement
% 9.69/10.08 ( X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := join( X, Y )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47383) {G1,W10,D5,L1,V2,M1} { meet( join( X, Y ), complement(
% 9.69/10.08 join( Y, X ) ) ) ==> zero }.
% 9.69/10.08 parent0[0]: (47380) {G1,W10,D5,L1,V2,M1} { zero ==> meet( join( X, Y ),
% 9.69/10.08 complement( join( Y, X ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (2221) {G32,W10,D5,L1,V2,M1} P(2130,12) { meet( join( X, Y ),
% 9.69/10.08 complement( join( Y, X ) ) ) ==> zero }.
% 9.69/10.08 parent0: (47383) {G1,W10,D5,L1,V2,M1} { meet( join( X, Y ), complement(
% 9.69/10.08 join( Y, X ) ) ) ==> zero }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47385) {G17,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ), meet( X
% 9.69/10.08 , complement( Y ) ) ) }.
% 9.69/10.08 parent0[0]: (1005) {G17,W10,D5,L1,V2,M1} S(30);d(397) { join( meet( X, Y )
% 9.69/10.08 , meet( X, complement( Y ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47390) {G18,W15,D7,L1,V2,M1} { join( X, Y ) ==> join( zero, meet
% 9.69/10.08 ( join( X, Y ), complement( complement( join( Y, X ) ) ) ) ) }.
% 9.69/10.08 parent0[0]: (2221) {G32,W10,D5,L1,V2,M1} P(2130,12) { meet( join( X, Y ),
% 9.69/10.08 complement( join( Y, X ) ) ) ==> zero }.
% 9.69/10.08 parent1[0; 5]: (47385) {G17,W10,D5,L1,V2,M1} { X ==> join( meet( X, Y ),
% 9.69/10.08 meet( X, complement( Y ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := join( X, Y )
% 9.69/10.08 Y := complement( join( Y, X ) )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47392) {G16,W13,D6,L1,V2,M1} { join( X, Y ) ==> meet( join( X, Y
% 9.69/10.08 ), complement( complement( join( Y, X ) ) ) ) }.
% 9.69/10.08 parent0[0]: (387) {G15,W5,D3,L1,V1,M1} P(377,339) { join( zero, X ) ==> X
% 9.69/10.08 }.
% 9.69/10.08 parent1[0; 4]: (47390) {G18,W15,D7,L1,V2,M1} { join( X, Y ) ==> join( zero
% 9.69/10.08 , meet( join( X, Y ), complement( complement( join( Y, X ) ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := meet( join( X, Y ), complement( complement( join( Y, X ) ) ) )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47393) {G16,W11,D4,L1,V2,M1} { join( X, Y ) ==> meet( join( X, Y
% 9.69/10.08 ), join( Y, X ) ) }.
% 9.69/10.08 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.08 ( complement( X ) ) ==> X }.
% 9.69/10.08 parent1[0; 8]: (47392) {G16,W13,D6,L1,V2,M1} { join( X, Y ) ==> meet( join
% 9.69/10.08 ( X, Y ), complement( complement( join( Y, X ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := join( Y, X )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47394) {G16,W11,D4,L1,V2,M1} { meet( join( X, Y ), join( Y, X ) )
% 9.69/10.08 ==> join( X, Y ) }.
% 9.69/10.08 parent0[0]: (47393) {G16,W11,D4,L1,V2,M1} { join( X, Y ) ==> meet( join( X
% 9.69/10.08 , Y ), join( Y, X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (2694) {G33,W11,D4,L1,V2,M1} P(2221,1005);d(387);d(383) { meet
% 9.69/10.08 ( join( X, Y ), join( Y, X ) ) ==> join( X, Y ) }.
% 9.69/10.08 parent0: (47394) {G16,W11,D4,L1,V2,M1} { meet( join( X, Y ), join( Y, X )
% 9.69/10.08 ) ==> join( X, Y ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47395) {G18,W10,D5,L1,V2,M1} { Y ==> join( meet( X, Y ), meet( Y
% 9.69/10.08 , complement( X ) ) ) }.
% 9.69/10.08 parent0[0]: (1949) {G18,W10,D5,L1,V2,M1} P(56,1005) { join( meet( Y, X ),
% 9.69/10.08 meet( X, complement( Y ) ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47396) {G1,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement( Y
% 9.69/10.08 ) ), meet( Y, X ) ) }.
% 9.69/10.08 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { join( X, Y ) = join( Y, X ) }.
% 9.69/10.08 parent1[0; 2]: (47395) {G18,W10,D5,L1,V2,M1} { Y ==> join( meet( X, Y ),
% 9.69/10.08 meet( Y, complement( X ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := meet( Y, X )
% 9.69/10.08 Y := meet( X, complement( Y ) )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47399) {G1,W10,D5,L1,V2,M1} { join( meet( X, complement( Y ) ),
% 9.69/10.08 meet( Y, X ) ) ==> X }.
% 9.69/10.08 parent0[0]: (47396) {G1,W10,D5,L1,V2,M1} { X ==> join( meet( X, complement
% 9.69/10.08 ( Y ) ), meet( Y, X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (2732) {G19,W10,D5,L1,V2,M1} P(1949,0) { join( meet( Y,
% 9.69/10.08 complement( X ) ), meet( X, Y ) ) ==> Y }.
% 9.69/10.08 parent0: (47399) {G1,W10,D5,L1,V2,M1} { join( meet( X, complement( Y ) ),
% 9.69/10.08 meet( Y, X ) ) ==> X }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47401) {G31,W7,D4,L1,V1,M1} { complement( converse( X ) ) ==>
% 9.69/10.08 converse( complement( X ) ) }.
% 9.69/10.08 parent0[0]: (2105) {G31,W7,D4,L1,V1,M1} P(2099,2041);d(2104) { converse(
% 9.69/10.08 complement( X ) ) ==> complement( converse( X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47402) {G17,W12,D6,L1,V2,M1} { complement( converse( join( X,
% 9.69/10.08 complement( Y ) ) ) ) ==> converse( meet( complement( X ), Y ) ) }.
% 9.69/10.08 parent0[0]: (396) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join( X,
% 9.69/10.08 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 9.69/10.08 parent1[0; 8]: (47401) {G31,W7,D4,L1,V1,M1} { complement( converse( X ) )
% 9.69/10.08 ==> converse( complement( X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := join( X, complement( Y ) )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (3009) {G32,W12,D6,L1,V2,M1} P(396,2105) { complement(
% 9.69/10.08 converse( join( X, complement( Y ) ) ) ) ==> converse( meet( complement(
% 9.69/10.08 X ), Y ) ) }.
% 9.69/10.08 parent0: (47402) {G17,W12,D6,L1,V2,M1} { complement( converse( join( X,
% 9.69/10.08 complement( Y ) ) ) ) ==> converse( meet( complement( X ), Y ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47407) {G19,W15,D5,L1,V3,M1} { meet( meet( join( X, Y ), join( Y
% 9.69/10.08 , X ) ), Z ) = meet( join( Y, X ), Z ) }.
% 9.69/10.08 parent0[0]: (2694) {G33,W11,D4,L1,V2,M1} P(2221,1005);d(387);d(383) { meet
% 9.69/10.08 ( join( X, Y ), join( Y, X ) ) ==> join( X, Y ) }.
% 9.69/10.08 parent1[0; 11]: (704) {G18,W11,D4,L1,V3,M1} P(683,3);d(3) { meet( meet( Y,
% 9.69/10.08 X ), Z ) = meet( meet( X, Y ), Z ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := join( Y, X )
% 9.69/10.08 Y := join( X, Y )
% 9.69/10.08 Z := Z
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47409) {G20,W11,D4,L1,V3,M1} { meet( join( X, Y ), Z ) = meet(
% 9.69/10.08 join( Y, X ), Z ) }.
% 9.69/10.08 parent0[0]: (2694) {G33,W11,D4,L1,V2,M1} P(2221,1005);d(387);d(383) { meet
% 9.69/10.08 ( join( X, Y ), join( Y, X ) ) ==> join( X, Y ) }.
% 9.69/10.08 parent1[0; 2]: (47407) {G19,W15,D5,L1,V3,M1} { meet( meet( join( X, Y ),
% 9.69/10.08 join( Y, X ) ), Z ) = meet( join( Y, X ), Z ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 Z := Z
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (6403) {G34,W11,D4,L1,V3,M1} P(2694,704);d(2694) { meet( join
% 9.69/10.08 ( X, Y ), Z ) = meet( join( Y, X ), Z ) }.
% 9.69/10.08 parent0: (47409) {G20,W11,D4,L1,V3,M1} { meet( join( X, Y ), Z ) = meet(
% 9.69/10.08 join( Y, X ), Z ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 Z := Z
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47411) {G21,W11,D5,L1,V3,M1} { join( Y, X ) ==> join( join( X,
% 9.69/10.08 meet( Y, Z ) ), Y ) }.
% 9.69/10.08 parent0[0]: (554) {G21,W11,D5,L1,V3,M1} P(527,18) { join( join( Z, meet( X
% 9.69/10.08 , Y ) ), X ) ==> join( X, Z ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := Z
% 9.69/10.08 Z := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47413) {G20,W10,D5,L1,V2,M1} { join( X, meet( Y, complement( X )
% 9.69/10.08 ) ) ==> join( Y, X ) }.
% 9.69/10.08 parent0[0]: (2732) {G19,W10,D5,L1,V2,M1} P(1949,0) { join( meet( Y,
% 9.69/10.08 complement( X ) ), meet( X, Y ) ) ==> Y }.
% 9.69/10.08 parent1[0; 8]: (47411) {G21,W11,D5,L1,V3,M1} { join( Y, X ) ==> join( join
% 9.69/10.08 ( X, meet( Y, Z ) ), Y ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := meet( Y, complement( X ) )
% 9.69/10.08 Y := X
% 9.69/10.08 Z := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (8458) {G22,W10,D5,L1,V2,M1} P(2732,554) { join( Y, meet( X,
% 9.69/10.08 complement( Y ) ) ) ==> join( X, Y ) }.
% 9.69/10.08 parent0: (47413) {G20,W10,D5,L1,V2,M1} { join( X, meet( Y, complement( X )
% 9.69/10.08 ) ) ==> join( Y, X ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47422) {G23,W14,D6,L1,V3,M1} { meet( join( meet( X, complement(
% 9.69/10.08 Y ) ), Y ), Z ) = meet( join( X, Y ), Z ) }.
% 9.69/10.08 parent0[0]: (8458) {G22,W10,D5,L1,V2,M1} P(2732,554) { join( Y, meet( X,
% 9.69/10.08 complement( Y ) ) ) ==> join( X, Y ) }.
% 9.69/10.08 parent1[0; 10]: (6403) {G34,W11,D4,L1,V3,M1} P(2694,704);d(2694) { meet(
% 9.69/10.08 join( X, Y ), Z ) = meet( join( Y, X ), Z ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := meet( X, complement( Y ) )
% 9.69/10.08 Y := Y
% 9.69/10.08 Z := Z
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (8486) {G35,W14,D6,L1,V3,M1} P(8458,6403) { meet( join( meet(
% 9.69/10.08 Y, complement( X ) ), X ), Z ) ==> meet( join( Y, X ), Z ) }.
% 9.69/10.08 parent0: (47422) {G23,W14,D6,L1,V3,M1} { meet( join( meet( X, complement(
% 9.69/10.08 Y ) ), Y ), Z ) = meet( join( X, Y ), Z ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 Z := Z
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47424) {G33,W11,D4,L1,V2,M1} { join( X, Y ) ==> meet( join( X, Y
% 9.69/10.08 ), join( Y, X ) ) }.
% 9.69/10.08 parent0[0]: (2694) {G33,W11,D4,L1,V2,M1} P(2221,1005);d(387);d(383) { meet
% 9.69/10.08 ( join( X, Y ), join( Y, X ) ) ==> join( X, Y ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47429) {G23,W17,D6,L1,V2,M1} { join( meet( X, complement( Y ) )
% 9.69/10.08 , Y ) ==> meet( join( meet( X, complement( Y ) ), Y ), join( X, Y ) ) }.
% 9.69/10.08 parent0[0]: (8458) {G22,W10,D5,L1,V2,M1} P(2732,554) { join( Y, meet( X,
% 9.69/10.08 complement( Y ) ) ) ==> join( X, Y ) }.
% 9.69/10.08 parent1[0; 14]: (47424) {G33,W11,D4,L1,V2,M1} { join( X, Y ) ==> meet(
% 9.69/10.08 join( X, Y ), join( Y, X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := meet( X, complement( Y ) )
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47431) {G24,W14,D5,L1,V2,M1} { join( meet( X, complement( Y ) )
% 9.69/10.08 , Y ) ==> meet( join( X, Y ), join( X, Y ) ) }.
% 9.69/10.08 parent0[0]: (8486) {G35,W14,D6,L1,V3,M1} P(8458,6403) { meet( join( meet( Y
% 9.69/10.08 , complement( X ) ), X ), Z ) ==> meet( join( Y, X ), Z ) }.
% 9.69/10.08 parent1[0; 7]: (47429) {G23,W17,D6,L1,V2,M1} { join( meet( X, complement(
% 9.69/10.08 Y ) ), Y ) ==> meet( join( meet( X, complement( Y ) ), Y ), join( X, Y )
% 9.69/10.08 ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 Z := join( X, Y )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47432) {G15,W10,D5,L1,V2,M1} { join( meet( X, complement( Y ) )
% 9.69/10.08 , Y ) ==> join( X, Y ) }.
% 9.69/10.08 parent0[0]: (377) {G14,W5,D3,L1,V1,M1} P(290,367);d(339) { meet( X, X ) ==>
% 9.69/10.08 X }.
% 9.69/10.08 parent1[0; 7]: (47431) {G24,W14,D5,L1,V2,M1} { join( meet( X, complement(
% 9.69/10.08 Y ) ), Y ) ==> meet( join( X, Y ), join( X, Y ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := join( X, Y )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (8488) {G36,W10,D5,L1,V2,M1} P(8458,2694);d(8486);d(377) {
% 9.69/10.08 join( meet( Y, complement( X ) ), X ) ==> join( Y, X ) }.
% 9.69/10.08 parent0: (47432) {G15,W10,D5,L1,V2,M1} { join( meet( X, complement( Y ) )
% 9.69/10.08 , Y ) ==> join( X, Y ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47435) {G16,W10,D5,L1,V2,M1} { meet( X, complement( Y ) ) ==>
% 9.69/10.08 complement( join( complement( X ), Y ) ) }.
% 9.69/10.08 parent0[0]: (397) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join(
% 9.69/10.08 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47440) {G17,W14,D7,L1,V2,M1} { meet( X, complement( meet( Y,
% 9.69/10.08 complement( complement( X ) ) ) ) ) ==> complement( join( Y, complement(
% 9.69/10.08 X ) ) ) }.
% 9.69/10.08 parent0[0]: (8458) {G22,W10,D5,L1,V2,M1} P(2732,554) { join( Y, meet( X,
% 9.69/10.08 complement( Y ) ) ) ==> join( X, Y ) }.
% 9.69/10.08 parent1[0; 10]: (47435) {G16,W10,D5,L1,V2,M1} { meet( X, complement( Y ) )
% 9.69/10.08 ==> complement( join( complement( X ), Y ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := complement( X )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := meet( Y, complement( complement( X ) ) )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47441) {G17,W13,D7,L1,V2,M1} { meet( X, complement( meet( Y,
% 9.69/10.08 complement( complement( X ) ) ) ) ) ==> meet( complement( Y ), X ) }.
% 9.69/10.08 parent0[0]: (396) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join( X,
% 9.69/10.08 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 9.69/10.08 parent1[0; 9]: (47440) {G17,W14,D7,L1,V2,M1} { meet( X, complement( meet(
% 9.69/10.08 Y, complement( complement( X ) ) ) ) ) ==> complement( join( Y,
% 9.69/10.08 complement( X ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47442) {G18,W12,D5,L1,V2,M1} { meet( X, join( complement( Y ),
% 9.69/10.08 complement( X ) ) ) ==> meet( complement( Y ), X ) }.
% 9.69/10.08 parent0[0]: (676) {G17,W10,D5,L1,V2,M1} P(383,398) { complement( meet( Y,
% 9.69/10.08 complement( X ) ) ) ==> join( complement( Y ), X ) }.
% 9.69/10.08 parent1[0; 3]: (47441) {G17,W13,D7,L1,V2,M1} { meet( X, complement( meet(
% 9.69/10.08 Y, complement( complement( X ) ) ) ) ) ==> meet( complement( Y ), X ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := complement( X )
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47443) {G17,W11,D5,L1,V2,M1} { meet( X, complement( meet( Y, X )
% 9.69/10.08 ) ) ==> meet( complement( Y ), X ) }.
% 9.69/10.08 parent0[0]: (398) {G16,W10,D4,L1,V2,M1} P(3,383) { join( complement( X ),
% 9.69/10.08 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 9.69/10.08 parent1[0; 3]: (47442) {G18,W12,D5,L1,V2,M1} { meet( X, join( complement(
% 9.69/10.08 Y ), complement( X ) ) ) ==> meet( complement( Y ), X ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (8503) {G23,W11,D5,L1,V2,M1} P(8458,397);d(396);d(676);d(398)
% 9.69/10.08 { meet( X, complement( meet( Y, X ) ) ) ==> meet( complement( Y ), X )
% 9.69/10.08 }.
% 9.69/10.08 parent0: (47443) {G17,W11,D5,L1,V2,M1} { meet( X, complement( meet( Y, X )
% 9.69/10.08 ) ) ==> meet( complement( Y ), X ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47446) {G16,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 9.69/10.08 complement( join( X, complement( Y ) ) ) }.
% 9.69/10.08 parent0[0]: (396) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join( X,
% 9.69/10.08 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47451) {G17,W14,D7,L1,V2,M1} { meet( complement( meet( X,
% 9.69/10.08 complement( complement( Y ) ) ) ), Y ) ==> complement( join( X,
% 9.69/10.08 complement( Y ) ) ) }.
% 9.69/10.08 parent0[0]: (8488) {G36,W10,D5,L1,V2,M1} P(8458,2694);d(8486);d(377) { join
% 9.69/10.08 ( meet( Y, complement( X ) ), X ) ==> join( Y, X ) }.
% 9.69/10.08 parent1[0; 10]: (47446) {G16,W10,D5,L1,V2,M1} { meet( complement( X ), Y )
% 9.69/10.08 ==> complement( join( X, complement( Y ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := complement( Y )
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := meet( X, complement( complement( Y ) ) )
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47452) {G17,W13,D7,L1,V2,M1} { meet( complement( meet( X,
% 9.69/10.08 complement( complement( Y ) ) ) ), Y ) ==> meet( complement( X ), Y ) }.
% 9.69/10.08 parent0[0]: (396) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join( X,
% 9.69/10.08 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 9.69/10.08 parent1[0; 9]: (47451) {G17,W14,D7,L1,V2,M1} { meet( complement( meet( X,
% 9.69/10.08 complement( complement( Y ) ) ) ), Y ) ==> complement( join( X,
% 9.69/10.08 complement( Y ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47453) {G18,W12,D5,L1,V2,M1} { meet( join( complement( X ),
% 9.69/10.08 complement( Y ) ), Y ) ==> meet( complement( X ), Y ) }.
% 9.69/10.08 parent0[0]: (676) {G17,W10,D5,L1,V2,M1} P(383,398) { complement( meet( Y,
% 9.69/10.08 complement( X ) ) ) ==> join( complement( Y ), X ) }.
% 9.69/10.08 parent1[0; 2]: (47452) {G17,W13,D7,L1,V2,M1} { meet( complement( meet( X,
% 9.69/10.08 complement( complement( Y ) ) ) ), Y ) ==> meet( complement( X ), Y ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := complement( Y )
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47454) {G17,W11,D5,L1,V2,M1} { meet( complement( meet( X, Y ) )
% 9.69/10.08 , Y ) ==> meet( complement( X ), Y ) }.
% 9.69/10.08 parent0[0]: (398) {G16,W10,D4,L1,V2,M1} P(3,383) { join( complement( X ),
% 9.69/10.08 complement( Y ) ) ==> complement( meet( X, Y ) ) }.
% 9.69/10.08 parent1[0; 2]: (47453) {G18,W12,D5,L1,V2,M1} { meet( join( complement( X )
% 9.69/10.08 , complement( Y ) ), Y ) ==> meet( complement( X ), Y ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (8533) {G37,W11,D5,L1,V2,M1} P(8488,396);d(396);d(676);d(398)
% 9.69/10.08 { meet( complement( meet( X, Y ) ), Y ) ==> meet( complement( X ), Y )
% 9.69/10.08 }.
% 9.69/10.08 parent0: (47454) {G17,W11,D5,L1,V2,M1} { meet( complement( meet( X, Y ) )
% 9.69/10.08 , Y ) ==> meet( complement( X ), Y ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47457) {G16,W10,D5,L1,V2,M1} { meet( complement( X ), Y ) ==>
% 9.69/10.08 complement( join( X, complement( Y ) ) ) }.
% 9.69/10.08 parent0[0]: (396) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join( X,
% 9.69/10.08 complement( Y ) ) ) ==> meet( complement( X ), Y ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47462) {G17,W13,D6,L1,V2,M1} { meet( complement( converse( X ) )
% 9.69/10.08 , converse( Y ) ) ==> complement( converse( join( X, complement( Y ) ) )
% 9.69/10.08 ) }.
% 9.69/10.08 parent0[0]: (2125) {G31,W12,D5,L1,V2,M1} P(2099,43) { join( converse( Y ),
% 9.69/10.08 complement( converse( X ) ) ) ==> converse( join( Y, complement( X ) ) )
% 9.69/10.08 }.
% 9.69/10.08 parent1[0; 8]: (47457) {G16,W10,D5,L1,V2,M1} { meet( complement( X ), Y )
% 9.69/10.08 ==> complement( join( X, complement( Y ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := converse( X )
% 9.69/10.08 Y := converse( Y )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47463) {G18,W12,D5,L1,V2,M1} { meet( complement( converse( X ) )
% 9.69/10.08 , converse( Y ) ) ==> converse( meet( complement( X ), Y ) ) }.
% 9.69/10.08 parent0[0]: (3009) {G32,W12,D6,L1,V2,M1} P(396,2105) { complement( converse
% 9.69/10.08 ( join( X, complement( Y ) ) ) ) ==> converse( meet( complement( X ), Y )
% 9.69/10.08 ) }.
% 9.69/10.08 parent1[0; 7]: (47462) {G17,W13,D6,L1,V2,M1} { meet( complement( converse
% 9.69/10.08 ( X ) ), converse( Y ) ) ==> complement( converse( join( X, complement( Y
% 9.69/10.08 ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (46416) {G33,W12,D5,L1,V2,M1} P(2125,396);d(3009) { meet(
% 9.69/10.08 complement( converse( X ) ), converse( Y ) ) ==> converse( meet(
% 9.69/10.08 complement( X ), Y ) ) }.
% 9.69/10.08 parent0: (47463) {G18,W12,D5,L1,V2,M1} { meet( complement( converse( X ) )
% 9.69/10.08 , converse( Y ) ) ==> converse( meet( complement( X ), Y ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47471) {G32,W14,D6,L1,V2,M1} { complement( join( complement(
% 9.69/10.08 converse( X ) ), converse( Y ) ) ) = complement( converse( join( Y,
% 9.69/10.08 complement( X ) ) ) ) }.
% 9.69/10.08 parent0[0]: (2125) {G31,W12,D5,L1,V2,M1} P(2099,43) { join( converse( Y ),
% 9.69/10.08 complement( converse( X ) ) ) ==> converse( join( Y, complement( X ) ) )
% 9.69/10.08 }.
% 9.69/10.08 parent1[0; 9]: (2130) {G31,W9,D4,L1,V2,M1} P(41,2099);d(2099) { complement
% 9.69/10.08 ( join( Y, X ) ) = complement( join( X, Y ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := converse( Y )
% 9.69/10.08 Y := complement( converse( X ) )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47472) {G33,W13,D6,L1,V2,M1} { complement( join( complement(
% 9.69/10.08 converse( X ) ), converse( Y ) ) ) = converse( meet( complement( Y ), X )
% 9.69/10.08 ) }.
% 9.69/10.08 parent0[0]: (3009) {G32,W12,D6,L1,V2,M1} P(396,2105) { complement( converse
% 9.69/10.08 ( join( X, complement( Y ) ) ) ) ==> converse( meet( complement( X ), Y )
% 9.69/10.08 ) }.
% 9.69/10.08 parent1[0; 8]: (47471) {G32,W14,D6,L1,V2,M1} { complement( join(
% 9.69/10.08 complement( converse( X ) ), converse( Y ) ) ) = complement( converse(
% 9.69/10.08 join( Y, complement( X ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47473) {G17,W12,D5,L1,V2,M1} { meet( converse( X ), complement(
% 9.69/10.08 converse( Y ) ) ) = converse( meet( complement( Y ), X ) ) }.
% 9.69/10.08 parent0[0]: (397) {G16,W10,D5,L1,V2,M1} P(383,3) { complement( join(
% 9.69/10.08 complement( Y ), X ) ) ==> meet( Y, complement( X ) ) }.
% 9.69/10.08 parent1[0; 1]: (47472) {G33,W13,D6,L1,V2,M1} { complement( join(
% 9.69/10.08 complement( converse( X ) ), converse( Y ) ) ) = converse( meet(
% 9.69/10.08 complement( Y ), X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := converse( Y )
% 9.69/10.08 Y := converse( X )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (46420) {G33,W12,D5,L1,V2,M1} P(2125,2130);d(3009);d(397) {
% 9.69/10.08 meet( converse( Y ), complement( converse( X ) ) ) ==> converse( meet(
% 9.69/10.08 complement( X ), Y ) ) }.
% 9.69/10.08 parent0: (47473) {G17,W12,D5,L1,V2,M1} { meet( converse( X ), complement(
% 9.69/10.08 converse( Y ) ) ) = converse( meet( complement( Y ), X ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := Y
% 9.69/10.08 Y := X
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47476) {G23,W11,D5,L1,V2,M1} { meet( complement( Y ), X ) ==>
% 9.69/10.08 meet( X, complement( meet( Y, X ) ) ) }.
% 9.69/10.08 parent0[0]: (8503) {G23,W11,D5,L1,V2,M1} P(8458,397);d(396);d(676);d(398)
% 9.69/10.08 { meet( X, complement( meet( Y, X ) ) ) ==> meet( complement( Y ), X )
% 9.69/10.08 }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47483) {G24,W17,D7,L1,V2,M1} { meet( complement( complement(
% 9.69/10.08 converse( X ) ) ), converse( Y ) ) ==> meet( converse( Y ), complement(
% 9.69/10.08 converse( meet( complement( X ), Y ) ) ) ) }.
% 9.69/10.08 parent0[0]: (46416) {G33,W12,D5,L1,V2,M1} P(2125,396);d(3009) { meet(
% 9.69/10.08 complement( converse( X ) ), converse( Y ) ) ==> converse( meet(
% 9.69/10.08 complement( X ), Y ) ) }.
% 9.69/10.08 parent1[0; 12]: (47476) {G23,W11,D5,L1,V2,M1} { meet( complement( Y ), X )
% 9.69/10.08 ==> meet( X, complement( meet( Y, X ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := converse( Y )
% 9.69/10.08 Y := complement( converse( X ) )
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47484) {G25,W16,D7,L1,V2,M1} { meet( complement( complement(
% 9.69/10.08 converse( X ) ) ), converse( Y ) ) ==> converse( meet( complement( meet(
% 9.69/10.08 complement( X ), Y ) ), Y ) ) }.
% 9.69/10.08 parent0[0]: (46420) {G33,W12,D5,L1,V2,M1} P(2125,2130);d(3009);d(397) {
% 9.69/10.08 meet( converse( Y ), complement( converse( X ) ) ) ==> converse( meet(
% 9.69/10.08 complement( X ), Y ) ) }.
% 9.69/10.08 parent1[0; 8]: (47483) {G24,W17,D7,L1,V2,M1} { meet( complement(
% 9.69/10.08 complement( converse( X ) ) ), converse( Y ) ) ==> meet( converse( Y ),
% 9.69/10.08 complement( converse( meet( complement( X ), Y ) ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := meet( complement( X ), Y )
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47485) {G26,W14,D6,L1,V2,M1} { meet( complement( complement(
% 9.69/10.08 converse( X ) ) ), converse( Y ) ) ==> converse( meet( complement(
% 9.69/10.08 complement( X ) ), Y ) ) }.
% 9.69/10.08 parent0[0]: (8533) {G37,W11,D5,L1,V2,M1} P(8488,396);d(396);d(676);d(398)
% 9.69/10.08 { meet( complement( meet( X, Y ) ), Y ) ==> meet( complement( X ), Y )
% 9.69/10.08 }.
% 9.69/10.08 parent1[0; 9]: (47484) {G25,W16,D7,L1,V2,M1} { meet( complement(
% 9.69/10.08 complement( converse( X ) ) ), converse( Y ) ) ==> converse( meet(
% 9.69/10.08 complement( meet( complement( X ), Y ) ), Y ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := complement( X )
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47487) {G16,W12,D6,L1,V2,M1} { meet( complement( complement(
% 9.69/10.08 converse( X ) ) ), converse( Y ) ) ==> converse( meet( X, Y ) ) }.
% 9.69/10.08 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.08 ( complement( X ) ) ==> X }.
% 9.69/10.08 parent1[0; 10]: (47485) {G26,W14,D6,L1,V2,M1} { meet( complement(
% 9.69/10.08 complement( converse( X ) ) ), converse( Y ) ) ==> converse( meet(
% 9.69/10.08 complement( complement( X ) ), Y ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47489) {G16,W10,D4,L1,V2,M1} { meet( converse( X ), converse( Y
% 9.69/10.08 ) ) ==> converse( meet( X, Y ) ) }.
% 9.69/10.08 parent0[0]: (383) {G15,W5,D4,L1,V1,M1} P(59,367);d(359);d(382) { complement
% 9.69/10.08 ( complement( X ) ) ==> X }.
% 9.69/10.08 parent1[0; 2]: (47487) {G16,W12,D6,L1,V2,M1} { meet( complement(
% 9.69/10.08 complement( converse( X ) ) ), converse( Y ) ) ==> converse( meet( X, Y )
% 9.69/10.08 ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := converse( X )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (46441) {G38,W10,D4,L1,V2,M1} P(46416,8503);d(46420);d(8533);d
% 9.69/10.08 (383);d(383) { meet( converse( X ), converse( Y ) ) ==> converse( meet( X
% 9.69/10.08 , Y ) ) }.
% 9.69/10.08 parent0: (47489) {G16,W10,D4,L1,V2,M1} { meet( converse( X ), converse( Y
% 9.69/10.08 ) ) ==> converse( meet( X, Y ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := X
% 9.69/10.08 Y := Y
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 0 ==> 0
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqswap: (47492) {G1,W31,D5,L2,V0,M2} { ! meet( converse( skol1 ), converse
% 9.69/10.08 ( skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), meet( converse(
% 9.69/10.08 skol1 ), converse( skol2 ) ) ), ! join( converse( meet( skol1, skol2 ) )
% 9.69/10.08 , meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse( meet(
% 9.69/10.08 skol1, skol2 ) ) }.
% 9.69/10.08 parent0[0]: (176) {G1,W31,D5,L2,V0,M2} P(0,16) { ! join( converse( meet(
% 9.69/10.08 skol1, skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> meet
% 9.69/10.08 ( converse( skol1 ), converse( skol2 ) ), ! join( converse( meet( skol1,
% 9.69/10.08 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 9.69/10.08 meet( skol1, skol2 ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47498) {G2,W30,D5,L2,V0,M2} { ! join( converse( meet( skol1,
% 9.69/10.08 skol2 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse( meet( skol1,
% 9.69/10.08 skol2 ) ), ! meet( converse( skol1 ), converse( skol2 ) ) ==> join(
% 9.69/10.08 converse( meet( skol1, skol2 ) ), meet( converse( skol1 ), converse(
% 9.69/10.08 skol2 ) ) ) }.
% 9.69/10.08 parent0[0]: (46441) {G38,W10,D4,L1,V2,M1} P(46416,8503);d(46420);d(8533);d(
% 9.69/10.08 383);d(383) { meet( converse( X ), converse( Y ) ) ==> converse( meet( X
% 9.69/10.08 , Y ) ) }.
% 9.69/10.08 parent1[1; 7]: (47492) {G1,W31,D5,L2,V0,M2} { ! meet( converse( skol1 ),
% 9.69/10.08 converse( skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), meet(
% 9.69/10.08 converse( skol1 ), converse( skol2 ) ) ), ! join( converse( meet( skol1,
% 9.69/10.08 skol2 ) ), meet( converse( skol1 ), converse( skol2 ) ) ) ==> converse(
% 9.69/10.08 meet( skol1, skol2 ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := skol1
% 9.69/10.08 Y := skol2
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47500) {G3,W29,D5,L2,V0,M2} { ! meet( converse( skol1 ),
% 9.69/10.08 converse( skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), converse
% 9.69/10.08 ( meet( skol1, skol2 ) ) ), ! join( converse( meet( skol1, skol2 ) ),
% 9.69/10.08 converse( meet( skol1, skol2 ) ) ) ==> converse( meet( skol1, skol2 ) )
% 9.69/10.08 }.
% 9.69/10.08 parent0[0]: (46441) {G38,W10,D4,L1,V2,M1} P(46416,8503);d(46420);d(8533);d(
% 9.69/10.08 383);d(383) { meet( converse( X ), converse( Y ) ) ==> converse( meet( X
% 9.69/10.08 , Y ) ) }.
% 9.69/10.08 parent1[1; 12]: (47498) {G2,W30,D5,L2,V0,M2} { ! join( converse( meet(
% 9.69/10.08 skol1, skol2 ) ), converse( meet( skol1, skol2 ) ) ) ==> converse( meet(
% 9.69/10.08 skol1, skol2 ) ), ! meet( converse( skol1 ), converse( skol2 ) ) ==> join
% 9.69/10.08 ( converse( meet( skol1, skol2 ) ), meet( converse( skol1 ), converse(
% 9.69/10.08 skol2 ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := skol1
% 9.69/10.08 Y := skol2
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47501) {G4,W28,D5,L2,V0,M2} { ! converse( meet( skol1, skol2 ) )
% 9.69/10.08 ==> join( converse( meet( skol1, skol2 ) ), converse( meet( skol1, skol2
% 9.69/10.08 ) ) ), ! join( converse( meet( skol1, skol2 ) ), converse( meet( skol1,
% 9.69/10.08 skol2 ) ) ) ==> converse( meet( skol1, skol2 ) ) }.
% 9.69/10.08 parent0[0]: (46441) {G38,W10,D4,L1,V2,M1} P(46416,8503);d(46420);d(8533);d(
% 9.69/10.08 383);d(383) { meet( converse( X ), converse( Y ) ) ==> converse( meet( X
% 9.69/10.08 , Y ) ) }.
% 9.69/10.08 parent1[0; 2]: (47500) {G3,W29,D5,L2,V0,M2} { ! meet( converse( skol1 ),
% 9.69/10.08 converse( skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), converse
% 9.69/10.08 ( meet( skol1, skol2 ) ) ), ! join( converse( meet( skol1, skol2 ) ),
% 9.69/10.08 converse( meet( skol1, skol2 ) ) ) ==> converse( meet( skol1, skol2 ) )
% 9.69/10.08 }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := skol1
% 9.69/10.08 Y := skol2
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47511) {G5,W23,D5,L2,V0,M2} { ! converse( meet( skol1, skol2 ) )
% 9.69/10.08 ==> converse( meet( skol1, skol2 ) ), ! converse( meet( skol1, skol2 ) )
% 9.69/10.08 ==> join( converse( meet( skol1, skol2 ) ), converse( meet( skol1, skol2
% 9.69/10.08 ) ) ) }.
% 9.69/10.08 parent0[0]: (394) {G16,W5,D3,L1,V1,M1} P(383,282) { join( X, X ) ==> X }.
% 9.69/10.08 parent1[1; 2]: (47501) {G4,W28,D5,L2,V0,M2} { ! converse( meet( skol1,
% 9.69/10.08 skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), converse( meet(
% 9.69/10.08 skol1, skol2 ) ) ), ! join( converse( meet( skol1, skol2 ) ), converse(
% 9.69/10.08 meet( skol1, skol2 ) ) ) ==> converse( meet( skol1, skol2 ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := converse( meet( skol1, skol2 ) )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 paramod: (47512) {G6,W18,D4,L2,V0,M2} { ! converse( meet( skol1, skol2 ) )
% 9.69/10.08 ==> converse( meet( skol1, skol2 ) ), ! converse( meet( skol1, skol2 ) )
% 9.69/10.08 ==> converse( meet( skol1, skol2 ) ) }.
% 9.69/10.08 parent0[0]: (394) {G16,W5,D3,L1,V1,M1} P(383,282) { join( X, X ) ==> X }.
% 9.69/10.08 parent1[1; 6]: (47511) {G5,W23,D5,L2,V0,M2} { ! converse( meet( skol1,
% 9.69/10.08 skol2 ) ) ==> converse( meet( skol1, skol2 ) ), ! converse( meet( skol1,
% 9.69/10.08 skol2 ) ) ==> join( converse( meet( skol1, skol2 ) ), converse( meet(
% 9.69/10.08 skol1, skol2 ) ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 X := converse( meet( skol1, skol2 ) )
% 9.69/10.08 end
% 9.69/10.08 substitution1:
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 factor: (47513) {G6,W9,D4,L1,V0,M1} { ! converse( meet( skol1, skol2 ) )
% 9.69/10.08 ==> converse( meet( skol1, skol2 ) ) }.
% 9.69/10.08 parent0[0, 1]: (47512) {G6,W18,D4,L2,V0,M2} { ! converse( meet( skol1,
% 9.69/10.08 skol2 ) ) ==> converse( meet( skol1, skol2 ) ), ! converse( meet( skol1,
% 9.69/10.08 skol2 ) ) ==> converse( meet( skol1, skol2 ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 eqrefl: (47516) {G0,W0,D0,L0,V0,M0} { }.
% 9.69/10.08 parent0[0]: (47513) {G6,W9,D4,L1,V0,M1} { ! converse( meet( skol1, skol2 )
% 9.69/10.08 ) ==> converse( meet( skol1, skol2 ) ) }.
% 9.69/10.08 substitution0:
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 subsumption: (46462) {G39,W0,D0,L0,V0,M0} P(46441,176);f;d(394);q { }.
% 9.69/10.08 parent0: (47516) {G0,W0,D0,L0,V0,M0} { }.
% 9.69/10.08 substitution0:
% 9.69/10.08 end
% 9.69/10.08 permutation0:
% 9.69/10.08 end
% 9.69/10.08
% 9.69/10.08 Proof check complete!
% 9.69/10.08
% 9.69/10.08 Memory use:
% 9.69/10.08
% 9.69/10.08 space for terms: 641764
% 9.69/10.08 space for clauses: 4947423
% 9.69/10.08
% 9.69/10.08
% 9.69/10.08 clauses generated: 2179068
% 9.69/10.08 clauses kept: 46463
% 9.69/10.08 clauses selected: 2775
% 9.69/10.08 clauses deleted: 14849
% 9.69/10.08 clauses inuse deleted: 672
% 9.69/10.08
% 9.69/10.08 subsentry: 39227
% 9.69/10.08 literals s-matched: 35876
% 9.69/10.08 literals matched: 35513
% 9.69/10.08 full subsumption: 0
% 9.69/10.08
% 9.69/10.08 checksum: 499873536
% 9.69/10.08
% 9.69/10.08
% 9.69/10.08 Bliksem ended
%------------------------------------------------------------------------------